
Time bar (total: 10.2s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 3 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 4 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 5 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 6 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 7 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 8 |
| 93.7% | 92.5% | 6.2% | 0.1% | 0% | 1.2% | 0% | 9 |
| 93.7% | 92.5% | 6.2% | 0.1% | 0% | 1.2% | 0% | 10 |
| 96.8% | 94.9% | 3.1% | 0.1% | 0% | 1.9% | 0% | 11 |
| 96.8% | 94.9% | 3.1% | 0.1% | 0% | 1.9% | 0% | 12 |
Compiled 31 to 21 computations (32.3% saved)
| 1.0s | 5 917× | 0 | valid |
| 959.0ms | 2 338× | 1 | valid |
| 175.0ms | 969× | 0 | exit |
| 1.0ms | 1× | 2 | valid |
ival-exp: 513.0ms (29.4% of total)ival-mult: 322.0ms (18.5% of total)ival-div: 219.0ms (12.6% of total)adjust: 198.0ms (11.4% of total)ival-sub: 196.0ms (11.2% of total)ival-add: 167.0ms (9.6% of total)ival-neg: 105.0ms (6% of total)exact: 10.0ms (0.6% of total)ival-true: 8.0ms (0.5% of total)ival-assert: 4.0ms (0.2% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 77 | 1 | (-2.6722195366534444e-162 -6.930755265192668e-13) | 0 | - | (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) |
| 0 | 0 | - | 0 | - | (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))) |
| 0 | 0 | - | 0 | - | (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))) |
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 1 binary64) eps) |
| 0 | 0 | - | 0 | - | (+.f64 #s(literal 1 binary64) eps) |
| 0 | 0 | - | 0 | - | (*.f64 (-.f64 #s(literal 1 binary64) eps) x) |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 1 binary64) eps) |
| 0 | 0 | - | 0 | - | eps |
| 0 | 0 | - | 0 | - | (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)) |
| 0 | 0 | - | 0 | - | (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) |
| 0 | 0 | - | 0 | - | (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 (+.f64 #s(literal 1 binary64) eps) x) |
| 0 | 0 | - | 0 | - | (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
-.f64 | (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) | cancellation | 78 | 2 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 77 | 0 |
| - | 1 | 178 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 77 | 0 | 0 |
| - | 1 | 2 | 176 |
| number | freq |
|---|---|
| 0 | 178 |
| 1 | 78 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 99.0ms | 156× | 1 | valid |
| 46.0ms | 356× | 0 | valid |
Compiled 315 to 61 computations (80.6% saved)
ival-exp: 27.0ms (31.4% of total)ival-mult: 15.0ms (17.4% of total)adjust: 11.0ms (12.8% of total)ival-div: 10.0ms (11.6% of total)ival-sub: 9.0ms (10.5% of total)ival-add: 7.0ms (8.1% of total)ival-neg: 6.0ms (7% of total)ival-true: 1.0ms (1.2% of total)exact: 1.0ms (1.2% of total)ival-assert: 0.0ms (0% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 157 |
| 1 | 172 | 145 |
| 2 | 555 | 137 |
| 3 | 2721 | 135 |
| 0 | 19 | 29 |
| 0 | 34 | 29 |
| 1 | 72 | 29 |
| 2 | 189 | 27 |
| 3 | 846 | 27 |
| 4 | 5066 | 27 |
| 0 | 8197 | 25 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) |
| Outputs |
|---|
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) |
(/.f64 (fma.f64 (pow.f64 (exp.f64 (+.f64 #s(literal -1 binary64) eps)) x) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (fma.f64 x eps x)))) #s(literal 2 binary64)) |
Compiled 29 to 19 computations (34.5% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 70.9% | (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) |
Compiled 29 to 19 computations (34.5% saved)
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 1 | (*.f64 (+.f64 #s(literal 1 binary64) eps) x) | |
| cost-diff | 1 | (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))) | |
| cost-diff | 1 | (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))) | |
| cost-diff | 1 | (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 141 |
| 0 | 34 | 141 |
| 1 | 72 | 141 |
| 2 | 189 | 135 |
| 3 | 846 | 135 |
| 4 | 5066 | 133 |
| 0 | 8197 | 126 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) |
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) eps) |
eps |
(exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))) |
(neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)) |
(*.f64 (-.f64 #s(literal 1 binary64) eps) x) |
(-.f64 #s(literal 1 binary64) eps) |
x |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))) |
(-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) |
(exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))) |
(neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)) |
(*.f64 (+.f64 #s(literal 1 binary64) eps) x) |
(+.f64 #s(literal 1 binary64) eps) |
#s(literal 2 binary64) |
| Outputs |
|---|
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) |
(/.f64 (fma.f64 (pow.f64 (exp.f64 (+.f64 #s(literal -1 binary64) eps)) x) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (fma.f64 x eps x)))) #s(literal 2 binary64)) |
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) |
(fma.f64 (pow.f64 (exp.f64 (+.f64 #s(literal -1 binary64) eps)) x) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (fma.f64 x eps x)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) |
(*.f64 (pow.f64 (exp.f64 (+.f64 #s(literal -1 binary64) eps)) x) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) |
(-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) eps) |
eps |
(exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))) |
(pow.f64 (exp.f64 (+.f64 #s(literal -1 binary64) eps)) x) |
(neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)) |
(*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps)) |
(*.f64 (-.f64 #s(literal 1 binary64) eps) x) |
(*.f64 x (-.f64 #s(literal 1 binary64) eps)) |
(-.f64 #s(literal 1 binary64) eps) |
x |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (fma.f64 x eps x))) |
(-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) |
(exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))) |
(exp.f64 (neg.f64 (fma.f64 x eps x))) |
(neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)) |
(neg.f64 (fma.f64 x eps x)) |
(*.f64 (+.f64 #s(literal 1 binary64) eps) x) |
(fma.f64 x eps x) |
(+.f64 #s(literal 1 binary64) eps) |
(-.f64 eps #s(literal -1 binary64)) |
#s(literal 2 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0078125 | (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))) | |
| accuracy | 0.0078125 | (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) | |
| accuracy | 0.01171875 | (*.f64 (+.f64 #s(literal 1 binary64) eps) x) | |
| accuracy | 18.648437500000004 | (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) |
| 54.0ms | 178× | 0 | valid |
| 44.0ms | 78× | 1 | valid |
Compiled 143 to 21 computations (85.3% saved)
ival-mult: 13.0ms (27.8% of total)ival-exp: 12.0ms (25.7% of total)ival-sub: 5.0ms (10.7% of total)adjust: 5.0ms (10.7% of total)ival-div: 5.0ms (10.7% of total)ival-neg: 3.0ms (6.4% of total)ival-add: 3.0ms (6.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) |
(exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))) |
(*.f64 (+.f64 #s(literal 1 binary64) eps) x) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) |
| Outputs |
|---|
2 |
(+ 2 (* x (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1)))))) |
(+ 2 (* x (- (+ (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))) (* (+ 1 (/ 1 eps)) (- eps 1))) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1)))))) |
(+ 2 (* x (- (+ (* x (- (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* x (- (* 1/6 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3))) (* -1/6 (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))) (* (+ 1 (/ 1 eps)) (- eps 1))) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1)))))) |
1 |
(+ 1 (* x (- eps 1))) |
(+ 1 (* x (- (+ eps (* 1/2 (* x (pow (- eps 1) 2)))) 1))) |
(+ 1 (* x (- (+ eps (* x (+ (* 1/6 (* x (pow (- eps 1) 3))) (* 1/2 (pow (- eps 1) 2))))) 1))) |
(- (/ 1 eps) 1) |
(- (+ (* -1 (* x (* (+ 1 eps) (- (/ 1 eps) 1)))) (/ 1 eps)) 1) |
(- (+ (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (* 1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) (/ 1 eps)) 1) |
(- (+ (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (* x (+ (* -1/6 (* x (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))))) (/ 1 eps)) 1) |
(* x (+ 1 eps)) |
(+ 1 (/ 1 eps)) |
(+ 1 (+ (* x (* (+ 1 (/ 1 eps)) (- eps 1))) (/ 1 eps))) |
(+ 1 (+ (* x (+ (* 1/2 (* x (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2)))) (* (+ 1 (/ 1 eps)) (- eps 1)))) (/ 1 eps))) |
(+ 1 (+ (* x (+ (* x (+ (* 1/6 (* x (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3)))) (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))))) (* (+ 1 (/ 1 eps)) (- eps 1)))) (/ 1 eps))) |
(- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))) |
(exp (- (* eps x) x)) |
(* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1)) |
(* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) |
(- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))) |
(exp (neg (* x (- 1 eps)))) |
(* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)) |
(* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) |
(- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))) |
(- (+ (exp (neg x)) (+ (* x (exp (neg x))) (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))) |
(- (+ (exp (neg x)) (+ (* x (exp (neg x))) (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* (pow eps 2) (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x))))))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))) |
(- (+ (exp (neg x)) (+ (* x (exp (neg x))) (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* (pow eps 2) (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (+ (* 1/24 (* (pow x 4) (exp (neg x)))) (* (pow eps 2) (- (+ (* 1/5040 (* (pow x 7) (exp (neg x)))) (* 1/720 (* (pow x 6) (exp (neg x))))) (+ (* -1/720 (* (pow x 6) (exp (neg x)))) (* -1/5040 (* (pow x 7) (exp (neg x))))))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x))))))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))) |
(exp (neg x)) |
(+ (exp (neg x)) (* eps (* x (exp (neg x))))) |
(+ (exp (neg x)) (* eps (+ (* 1/2 (* eps (* (pow x 2) (exp (neg x))))) (* x (exp (neg x)))))) |
(+ (exp (neg x)) (* eps (+ (* eps (+ (* 1/6 (* eps (* (pow x 3) (exp (neg x))))) (* 1/2 (* (pow x 2) (exp (neg x)))))) (* x (exp (neg x)))))) |
(/ (exp (neg x)) eps) |
(/ (+ (exp (neg x)) (* eps (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) eps) |
(/ (+ (exp (neg x)) (* eps (+ (* -1 (exp (neg x))) (+ (* -1 (* x (exp (neg x)))) (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* x (exp (neg x))))))))) eps) |
(/ (+ (exp (neg x)) (* eps (+ (* -1 (exp (neg x))) (+ (* -1 (* x (exp (neg x)))) (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (+ (* eps (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x)))))) (* x (exp (neg x)))))))))) eps) |
x |
(+ x (* eps x)) |
(/ (+ (exp (neg x)) (* eps (+ (exp (neg x)) (* x (exp (neg x)))))) eps) |
(/ (+ (exp (neg x)) (* eps (+ (exp (neg x)) (+ (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* x (exp (neg x))))) (* x (exp (neg x))))))) eps) |
(/ (+ (exp (neg x)) (* eps (+ (exp (neg x)) (+ (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (+ (* eps (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x)))))) (* x (exp (neg x)))))) (* x (exp (neg x))))))) eps) |
(- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps)))))) |
(- (+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps)) (+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps))) |
(* -1 (exp (neg (* x (+ 1 eps))))) |
(+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps)) |
(* eps x) |
(* eps (+ x (/ x eps))) |
(+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps)) |
(- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) |
(- (+ (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) |
(exp (neg (* x (+ 1 (* -1 eps))))) |
(* -1 (exp (neg (* x (- 1 (* -1 eps)))))) |
(+ (* -1 (exp (neg (* x (- 1 (* -1 eps)))))) (/ (exp (neg (* x (- 1 (* -1 eps))))) eps)) |
(* -1 (* eps (+ (* -1 x) (* -1 (/ x eps))))) |
(+ (exp (neg (* x (+ 1 (* -1 eps))))) (/ (exp (neg (* x (+ 1 (* -1 eps))))) eps)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | eps | @ | 0 | ((- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (exp (neg (* (- 1 eps) x))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (* (+ 1 eps) x) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x))))) |
| 2.0ms | x | @ | 0 | ((- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (exp (neg (* (- 1 eps) x))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (* (+ 1 eps) x) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x))))) |
| 2.0ms | eps | @ | inf | ((- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (exp (neg (* (- 1 eps) x))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (* (+ 1 eps) x) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x))))) |
| 2.0ms | x | @ | -inf | ((- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (exp (neg (* (- 1 eps) x))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (* (+ 1 eps) x) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x))))) |
| 1.0ms | x | @ | inf | ((- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (exp (neg (* (- 1 eps) x))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (* (+ 1 eps) x) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 284 | 1388 |
| 1 | 1012 | 1251 |
| 2 | 4876 | 1235 |
| 0 | 8428 | 1147 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
2 |
(+ 2 (* x (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1)))))) |
(+ 2 (* x (- (+ (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))) (* (+ 1 (/ 1 eps)) (- eps 1))) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1)))))) |
(+ 2 (* x (- (+ (* x (- (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* x (- (* 1/6 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3))) (* -1/6 (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))) (* (+ 1 (/ 1 eps)) (- eps 1))) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1)))))) |
1 |
(+ 1 (* x (- eps 1))) |
(+ 1 (* x (- (+ eps (* 1/2 (* x (pow (- eps 1) 2)))) 1))) |
(+ 1 (* x (- (+ eps (* x (+ (* 1/6 (* x (pow (- eps 1) 3))) (* 1/2 (pow (- eps 1) 2))))) 1))) |
(- (/ 1 eps) 1) |
(- (+ (* -1 (* x (* (+ 1 eps) (- (/ 1 eps) 1)))) (/ 1 eps)) 1) |
(- (+ (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (* 1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) (/ 1 eps)) 1) |
(- (+ (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (* x (+ (* -1/6 (* x (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))))) (/ 1 eps)) 1) |
(* x (+ 1 eps)) |
(+ 1 (/ 1 eps)) |
(+ 1 (+ (* x (* (+ 1 (/ 1 eps)) (- eps 1))) (/ 1 eps))) |
(+ 1 (+ (* x (+ (* 1/2 (* x (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2)))) (* (+ 1 (/ 1 eps)) (- eps 1)))) (/ 1 eps))) |
(+ 1 (+ (* x (+ (* x (+ (* 1/6 (* x (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3)))) (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))))) (* (+ 1 (/ 1 eps)) (- eps 1)))) (/ 1 eps))) |
(- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))) |
(exp (- (* eps x) x)) |
(* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1)) |
(* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) |
(- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))) |
(exp (neg (* x (- 1 eps)))) |
(* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)) |
(* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) |
(- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))) |
(- (+ (exp (neg x)) (+ (* x (exp (neg x))) (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))) |
(- (+ (exp (neg x)) (+ (* x (exp (neg x))) (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* (pow eps 2) (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x))))))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))) |
(- (+ (exp (neg x)) (+ (* x (exp (neg x))) (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* (pow eps 2) (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (+ (* 1/24 (* (pow x 4) (exp (neg x)))) (* (pow eps 2) (- (+ (* 1/5040 (* (pow x 7) (exp (neg x)))) (* 1/720 (* (pow x 6) (exp (neg x))))) (+ (* -1/720 (* (pow x 6) (exp (neg x)))) (* -1/5040 (* (pow x 7) (exp (neg x))))))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x))))))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))) |
(exp (neg x)) |
(+ (exp (neg x)) (* eps (* x (exp (neg x))))) |
(+ (exp (neg x)) (* eps (+ (* 1/2 (* eps (* (pow x 2) (exp (neg x))))) (* x (exp (neg x)))))) |
(+ (exp (neg x)) (* eps (+ (* eps (+ (* 1/6 (* eps (* (pow x 3) (exp (neg x))))) (* 1/2 (* (pow x 2) (exp (neg x)))))) (* x (exp (neg x)))))) |
(/ (exp (neg x)) eps) |
(/ (+ (exp (neg x)) (* eps (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) eps) |
(/ (+ (exp (neg x)) (* eps (+ (* -1 (exp (neg x))) (+ (* -1 (* x (exp (neg x)))) (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* x (exp (neg x))))))))) eps) |
(/ (+ (exp (neg x)) (* eps (+ (* -1 (exp (neg x))) (+ (* -1 (* x (exp (neg x)))) (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (+ (* eps (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x)))))) (* x (exp (neg x)))))))))) eps) |
x |
(+ x (* eps x)) |
(/ (+ (exp (neg x)) (* eps (+ (exp (neg x)) (* x (exp (neg x)))))) eps) |
(/ (+ (exp (neg x)) (* eps (+ (exp (neg x)) (+ (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* x (exp (neg x))))) (* x (exp (neg x))))))) eps) |
(/ (+ (exp (neg x)) (* eps (+ (exp (neg x)) (+ (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (+ (* eps (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x)))))) (* x (exp (neg x)))))) (* x (exp (neg x))))))) eps) |
(- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps)))))) |
(- (+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps)) (+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps))) |
(* -1 (exp (neg (* x (+ 1 eps))))) |
(+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps)) |
(* eps x) |
(* eps (+ x (/ x eps))) |
(+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps)) |
(- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) |
(- (+ (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) |
(exp (neg (* x (+ 1 (* -1 eps))))) |
(* -1 (exp (neg (* x (- 1 (* -1 eps)))))) |
(+ (* -1 (exp (neg (* x (- 1 (* -1 eps)))))) (/ (exp (neg (* x (- 1 (* -1 eps))))) eps)) |
(* -1 (* eps (+ (* -1 x) (* -1 (/ x eps))))) |
(+ (exp (neg (* x (+ 1 (* -1 eps))))) (/ (exp (neg (* x (+ 1 (* -1 eps))))) eps)) |
| Outputs |
|---|
2 |
#s(literal 2 binary64) |
(+ 2 (* x (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1)))))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (*.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) x #s(literal 2 binary64)) |
(+ 2 (* x (- (+ (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))) (* (+ 1 (/ 1 eps)) (- eps 1))) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1)))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) eps) #s(literal 1/2 binary64)) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64)))) x (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (*.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))) x #s(literal 2 binary64)) |
(+ 2 (* x (- (+ (* x (- (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* x (- (* 1/6 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3))) (* -1/6 (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))) (* (+ 1 (/ 1 eps)) (- eps 1))) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (fma.f64 (*.f64 #s(literal 1/6 binary64) (fma.f64 (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))) x (*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) eps) #s(literal 1/2 binary64)) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64))))) x (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (*.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))) x #s(literal 2 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* x (- eps 1))) |
(fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (- (+ eps (* 1/2 (* x (pow (- eps 1) 2)))) 1))) |
(fma.f64 (fma.f64 (*.f64 (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64)) x) #s(literal 1/2 binary64) (-.f64 eps #s(literal 1 binary64))) x #s(literal 1 binary64)) |
(+ 1 (* x (- (+ eps (* x (+ (* 1/6 (* x (pow (- eps 1) 3))) (* 1/2 (pow (- eps 1) 2))))) 1))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 3 binary64)) x) #s(literal 1/6 binary64) (*.f64 (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) x (-.f64 eps #s(literal 1 binary64))) x #s(literal 1 binary64)) |
(- (/ 1 eps) 1) |
(-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) |
(- (+ (* -1 (* x (* (+ 1 eps) (- (/ 1 eps) 1)))) (/ 1 eps)) 1) |
(fma.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (fma.f64 x eps x) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) |
(- (+ (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (* 1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) (/ 1 eps)) 1) |
(fma.f64 (fma.f64 (*.f64 x (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal -1 binary64) eps #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) x (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) |
(- (+ (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (* x (+ (* -1/6 (* x (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))))) (/ 1 eps)) 1) |
(fma.f64 (fma.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) eps) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 3 binary64)) x)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)))) x)) x (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) |
(* x (+ 1 eps)) |
(fma.f64 x eps x) |
(+ 1 (/ 1 eps)) |
(+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) |
(+ 1 (+ (* x (* (+ 1 (/ 1 eps)) (- eps 1))) (/ 1 eps))) |
(fma.f64 (+.f64 (/.f64 x eps) x) (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) |
(+ 1 (+ (* x (+ (* 1/2 (* x (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2)))) (* (+ 1 (/ 1 eps)) (- eps 1)))) (/ 1 eps))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 x eps) x)) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) x (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) |
(+ 1 (+ (* x (+ (* x (+ (* 1/6 (* x (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3)))) (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))))) (* (+ 1 (/ 1 eps)) (- eps 1)))) (/ 1 eps))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 x eps) x)) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 3 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) eps) #s(literal 1/2 binary64)) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64)))) x (*.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) x (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) |
(- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))) |
(fma.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (exp.f64 (neg.f64 (fma.f64 x eps x))) (*.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) |
(exp (- (* eps x) x)) |
(exp.f64 (-.f64 (*.f64 x eps) x)) |
(* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1)) |
(*.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) |
(* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) |
(*.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) |
(- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))) |
(fma.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (exp.f64 (neg.f64 (fma.f64 x eps x))) (*.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal -1 binary64) eps)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) |
(exp (neg (* x (- 1 eps)))) |
(pow.f64 (exp.f64 x) (+.f64 #s(literal -1 binary64) eps)) |
(* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)) |
(*.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) |
(* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) |
(*.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal -1 binary64) eps)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) |
(- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))) |
(fma.f64 (+.f64 #s(literal 1 binary64) x) (exp.f64 (neg.f64 x)) (/.f64 (+.f64 #s(literal 1 binary64) x) (exp.f64 x))) |
(- (+ (exp (neg x)) (+ (* x (exp (neg x))) (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))) |
(+.f64 (fma.f64 (-.f64 (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))) (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))) (*.f64 eps eps) (/.f64 (+.f64 #s(literal 1 binary64) x) (exp.f64 x))) (/.f64 (+.f64 #s(literal 1 binary64) x) (exp.f64 x))) |
(- (+ (exp (neg x)) (+ (* x (exp (neg x))) (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* (pow eps 2) (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x))))))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))) |
(+.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64)))) (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 #s(literal -1/120 binary64) (pow.f64 x #s(literal 5 binary64)) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64)))))) (*.f64 eps eps) (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))))) (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))) (*.f64 eps eps) (/.f64 (+.f64 #s(literal 1 binary64) x) (exp.f64 x))) (/.f64 (+.f64 #s(literal 1 binary64) x) (exp.f64 x))) |
(- (+ (exp (neg x)) (+ (* x (exp (neg x))) (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* (pow eps 2) (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (+ (* 1/24 (* (pow x 4) (exp (neg x)))) (* (pow eps 2) (- (+ (* 1/5040 (* (pow x 7) (exp (neg x)))) (* 1/720 (* (pow x 6) (exp (neg x))))) (+ (* -1/720 (* (pow x 6) (exp (neg x)))) (* -1/5040 (* (pow x 7) (exp (neg x))))))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x))))))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))) |
(+.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/720 binary64) (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/5040 binary64)))) (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 7 binary64)) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 6 binary64)))))) (*.f64 eps eps) (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64))))) (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 #s(literal -1/120 binary64) (pow.f64 x #s(literal 5 binary64)) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64)))))) (*.f64 eps eps) (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))))) (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))) (*.f64 eps eps) (/.f64 (+.f64 #s(literal 1 binary64) x) (exp.f64 x))) (/.f64 (+.f64 #s(literal 1 binary64) x) (exp.f64 x))) |
(exp (neg x)) |
(exp.f64 (neg.f64 x)) |
(+ (exp (neg x)) (* eps (* x (exp (neg x))))) |
(/.f64 (fma.f64 x eps #s(literal 1 binary64)) (exp.f64 x)) |
(+ (exp (neg x)) (* eps (+ (* 1/2 (* eps (* (pow x 2) (exp (neg x))))) (* x (exp (neg x)))))) |
(fma.f64 (*.f64 eps (*.f64 #s(literal 1/2 binary64) eps)) (/.f64 (*.f64 x x) (exp.f64 x)) (/.f64 (fma.f64 x eps #s(literal 1 binary64)) (exp.f64 x))) |
(+ (exp (neg x)) (* eps (+ (* eps (+ (* 1/6 (* eps (* (pow x 3) (exp (neg x))))) (* 1/2 (* (pow x 2) (exp (neg x)))))) (* x (exp (neg x)))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) eps) (/.f64 (pow.f64 x #s(literal 3 binary64)) (exp.f64 x)) (*.f64 (/.f64 (*.f64 x x) (exp.f64 x)) #s(literal 1/2 binary64))) eps (/.f64 x (exp.f64 x))) eps (exp.f64 (neg.f64 x))) |
(/ (exp (neg x)) eps) |
(/.f64 (exp.f64 (neg.f64 x)) eps) |
(/ (+ (exp (neg x)) (* eps (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) eps) |
(/.f64 (-.f64 (exp.f64 (neg.f64 x)) (/.f64 (fma.f64 x eps eps) (exp.f64 x))) eps) |
(/ (+ (exp (neg x)) (* eps (+ (* -1 (exp (neg x))) (+ (* -1 (* x (exp (neg x)))) (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* x (exp (neg x))))))))) eps) |
(/.f64 (fma.f64 (fma.f64 (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x x)) eps (/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (exp.f64 x))) eps (exp.f64 (neg.f64 x))) eps) |
(/ (+ (exp (neg x)) (* eps (+ (* -1 (exp (neg x))) (+ (* -1 (* x (exp (neg x)))) (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (+ (* eps (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x)))))) (* x (exp (neg x)))))))))) eps) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))) eps (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x x))) eps (/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (exp.f64 x))) eps (exp.f64 (neg.f64 x))) eps) |
x |
(+ x (* eps x)) |
(fma.f64 x eps x) |
(/ (+ (exp (neg x)) (* eps (+ (exp (neg x)) (* x (exp (neg x)))))) eps) |
(/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 eps (exp.f64 x)) (exp.f64 (neg.f64 x))) eps) |
(/ (+ (exp (neg x)) (* eps (+ (exp (neg x)) (+ (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* x (exp (neg x))))) (* x (exp (neg x))))))) eps) |
(/.f64 (fma.f64 (fma.f64 (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x x)) eps (/.f64 (+.f64 #s(literal 1 binary64) x) (exp.f64 x))) eps (exp.f64 (neg.f64 x))) eps) |
(/ (+ (exp (neg x)) (* eps (+ (exp (neg x)) (+ (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (+ (* eps (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x)))))) (* x (exp (neg x)))))) (* x (exp (neg x))))))) eps) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))) eps (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x x))) eps (/.f64 (+.f64 #s(literal 1 binary64) x) (exp.f64 x))) eps (exp.f64 (neg.f64 x))) eps) |
(- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps)))))) |
(+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (pow.f64 (exp.f64 x) (+.f64 #s(literal -1 binary64) eps))) |
(- (+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps)) (+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps))) |
(-.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal -1 binary64) eps)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (fma.f64 x eps x)))) (/.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) eps)) |
(* -1 (exp (neg (* x (+ 1 eps))))) |
(/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))) |
(+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps)) |
(-.f64 (/.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) eps) (exp.f64 (neg.f64 (fma.f64 x eps x)))) |
(* eps x) |
(*.f64 x eps) |
(* eps (+ x (/ x eps))) |
(*.f64 (+.f64 (/.f64 x eps) x) eps) |
(+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps)) |
(*.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal -1 binary64) eps)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) |
(- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) |
(+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (pow.f64 (exp.f64 x) (+.f64 #s(literal -1 binary64) eps))) |
(- (+ (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) |
(-.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal -1 binary64) eps)) (-.f64 (/.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal -1 binary64) eps)) #s(literal -1 binary64) (exp.f64 (neg.f64 (fma.f64 x eps x)))) eps) (exp.f64 (neg.f64 (fma.f64 x eps x))))) |
(exp (neg (* x (+ 1 (* -1 eps))))) |
(pow.f64 (exp.f64 x) (+.f64 #s(literal -1 binary64) eps)) |
(* -1 (exp (neg (* x (- 1 (* -1 eps)))))) |
(/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))) |
(+ (* -1 (exp (neg (* x (- 1 (* -1 eps)))))) (/ (exp (neg (* x (- 1 (* -1 eps))))) eps)) |
(-.f64 (/.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) eps) (exp.f64 (neg.f64 (fma.f64 x eps x)))) |
(* -1 (* eps (+ (* -1 x) (* -1 (/ x eps))))) |
(*.f64 (+.f64 (/.f64 x eps) x) eps) |
(+ (exp (neg (* x (+ 1 (* -1 eps))))) (/ (exp (neg (* x (+ 1 (* -1 eps))))) eps)) |
(*.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal -1 binary64) eps)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 65 |
| 0 | 31 | 65 |
| 1 | 118 | 63 |
| 0 | 856 | 63 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) |
(exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))) |
(*.f64 (+.f64 #s(literal 1 binary64) eps) x) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) |
| Outputs |
|---|
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps))) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (pow.f64 (exp.f64 (+.f64 (neg.f64 eps) #s(literal -1 binary64))) x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (pow.f64 (exp.f64 (+.f64 (neg.f64 eps) #s(literal -1 binary64))) x) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps))) (*.f64 (neg.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (pow.f64 (exp.f64 (+.f64 (neg.f64 eps) #s(literal -1 binary64))) x)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64)) (pow.f64 (*.f64 (pow.f64 (exp.f64 (+.f64 (neg.f64 eps) #s(literal -1 binary64))) x) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (pow.f64 (exp.f64 (+.f64 (neg.f64 eps) #s(literal -1 binary64))) x) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps))) #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 (exp.f64 (+.f64 (neg.f64 eps) #s(literal -1 binary64))) x) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (pow.f64 (exp.f64 (+.f64 (neg.f64 eps) #s(literal -1 binary64))) x) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (fma.f64 (pow.f64 (exp.f64 (+.f64 (neg.f64 eps) #s(literal -1 binary64))) x) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps)))) (pow.f64 (/.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64)) (pow.f64 (*.f64 (pow.f64 (exp.f64 (+.f64 (neg.f64 eps) #s(literal -1 binary64))) x) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))) (fma.f64 (pow.f64 (exp.f64 (+.f64 (neg.f64 eps) #s(literal -1 binary64))) x) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps))) #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 (exp.f64 (+.f64 (neg.f64 eps) #s(literal -1 binary64))) x) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 (pow.f64 (exp.f64 (+.f64 (neg.f64 eps) #s(literal -1 binary64))) x) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (fma.f64 (pow.f64 (exp.f64 (+.f64 (neg.f64 eps) #s(literal -1 binary64))) x) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps)))) (pow.f64 (/.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64)))) |
(fma.f64 (neg.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (pow.f64 (exp.f64 (+.f64 (neg.f64 eps) #s(literal -1 binary64))) x) (/.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps)))) |
(fma.f64 (pow.f64 (exp.f64 (+.f64 (neg.f64 eps) #s(literal -1 binary64))) x) (neg.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps)))) |
(fma.f64 (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) eps)) (neg.f64 x)) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 (pow.f64 (exp.f64 (+.f64 (neg.f64 eps) #s(literal -1 binary64))) x)) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(fma.f64 (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) eps)) (neg.f64 x)) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (pow.f64 (exp.f64 (+.f64 (neg.f64 eps) #s(literal -1 binary64))) x))) |
(fma.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) eps)) (neg.f64 x)) (*.f64 (neg.f64 (pow.f64 (exp.f64 (+.f64 (neg.f64 eps) #s(literal -1 binary64))) x)) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(fma.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) eps)) (neg.f64 x)) (*.f64 (neg.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (pow.f64 (exp.f64 (+.f64 (neg.f64 eps) #s(literal -1 binary64))) x))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64)) (fma.f64 (pow.f64 (exp.f64 (+.f64 (neg.f64 eps) #s(literal -1 binary64))) x) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps))))) (/.f64 (pow.f64 (*.f64 (pow.f64 (exp.f64 (+.f64 (neg.f64 eps) #s(literal -1 binary64))) x) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (fma.f64 (pow.f64 (exp.f64 (+.f64 (neg.f64 eps) #s(literal -1 binary64))) x) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps)))))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps))) #s(literal 3 binary64)) (fma.f64 (*.f64 (pow.f64 (exp.f64 (+.f64 (neg.f64 eps) #s(literal -1 binary64))) x) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (fma.f64 (pow.f64 (exp.f64 (+.f64 (neg.f64 eps) #s(literal -1 binary64))) x) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps)))) (pow.f64 (/.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (pow.f64 (exp.f64 (+.f64 (neg.f64 eps) #s(literal -1 binary64))) x) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)) (fma.f64 (*.f64 (pow.f64 (exp.f64 (+.f64 (neg.f64 eps) #s(literal -1 binary64))) x) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (fma.f64 (pow.f64 (exp.f64 (+.f64 (neg.f64 eps) #s(literal -1 binary64))) x) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps)))) (pow.f64 (/.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64))))) |
(-.f64 (/.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps))) (*.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)))) (pow.f64 (exp.f64 (+.f64 (neg.f64 eps) #s(literal -1 binary64))) x))) |
(-.f64 (/.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps))) (*.f64 (pow.f64 (exp.f64 (+.f64 (neg.f64 eps) #s(literal -1 binary64))) x) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(+.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (pow.f64 (exp.f64 (+.f64 (neg.f64 eps) #s(literal -1 binary64))) x)) (/.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps)))) |
(+.f64 (/.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps))) (*.f64 (neg.f64 (pow.f64 (exp.f64 (+.f64 (neg.f64 eps) #s(literal -1 binary64))) x)) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(+.f64 (/.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps))) (*.f64 (neg.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (pow.f64 (exp.f64 (+.f64 (neg.f64 eps) #s(literal -1 binary64))) x))) |
(*.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) eps)) (neg.f64 x))) |
(pow.f64 (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) eps))) x) |
(pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) eps)) (neg.f64 x)) |
(pow.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps)) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (cosh.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps))) (cosh.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) (*.f64 (sinh.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps))) (sinh.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps))))) (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps))) |
(/.f64 (-.f64 (*.f64 (cosh.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps))) (cosh.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) (*.f64 (sinh.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) (sinh.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))))) (-.f64 (cosh.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps))) (sinh.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))))) |
(/.f64 (-.f64 (pow.f64 (cosh.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps))) (cosh.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps))) (fma.f64 (sinh.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps))) (sinh.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps))) (*.f64 (cosh.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps))) (sinh.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps))))))) |
(/.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps))) (cosh.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps))) (-.f64 (*.f64 (sinh.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) (sinh.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps)))) (*.f64 (cosh.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps))) (sinh.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps))) |
(-.f64 (cosh.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps))) (sinh.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) |
(exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) |
(exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) |
(+.f64 (cosh.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps))) (sinh.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps)))) |
(+.f64 (sinh.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) (cosh.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) |
(*.f64 (pow.f64 (exp.f64 (+.f64 (neg.f64 eps) #s(literal -1 binary64))) x) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 (+.f64 (neg.f64 eps) #s(literal -1 binary64))) x)) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (pow.f64 (exp.f64 x) (-.f64 eps #s(literal -1 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 (+.f64 (neg.f64 eps) #s(literal -1 binary64))) x)) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))) |
(/.f64 (*.f64 (-.f64 (pow.f64 eps #s(literal -3 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 (+.f64 (neg.f64 eps) #s(literal -1 binary64))) x)) (+.f64 (+.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 eps #s(literal -1 binary64)))) |
(/.f64 (*.f64 (pow.f64 (exp.f64 (+.f64 (neg.f64 eps) #s(literal -1 binary64))) x) (-.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))) |
(/.f64 (*.f64 (pow.f64 (exp.f64 (+.f64 (neg.f64 eps) #s(literal -1 binary64))) x) (-.f64 (pow.f64 eps #s(literal -3 binary64)) #s(literal 1 binary64))) (+.f64 (+.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 eps #s(literal -1 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) (-.f64 eps #s(literal -1 binary64)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1 binary64))) (*.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal -1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 eps #s(literal -3 binary64)) #s(literal 1 binary64))) (*.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 eps #s(literal -1 binary64))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (exp.f64 x) (-.f64 eps #s(literal -1 binary64))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 eps #s(literal -3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (+.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 eps #s(literal -1 binary64))) (pow.f64 (exp.f64 x) (-.f64 eps #s(literal -1 binary64))))) |
(fma.f64 (cosh.f64 (*.f64 (-.f64 eps #s(literal -1 binary64)) x)) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (sinh.f64 (*.f64 (neg.f64 x) (-.f64 eps #s(literal -1 binary64)))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(fma.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) (cosh.f64 (*.f64 (-.f64 eps #s(literal -1 binary64)) x)) (*.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) (sinh.f64 (*.f64 (neg.f64 x) (-.f64 eps #s(literal -1 binary64)))))) |
(+.f64 (*.f64 (cosh.f64 (*.f64 (-.f64 eps #s(literal -1 binary64)) x)) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (sinh.f64 (*.f64 (neg.f64 x) (-.f64 eps #s(literal -1 binary64)))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(+.f64 (*.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) (cosh.f64 (*.f64 (-.f64 eps #s(literal -1 binary64)) x))) (*.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) (sinh.f64 (*.f64 (neg.f64 x) (-.f64 eps #s(literal -1 binary64)))))) |
(*.f64 (-.f64 eps #s(literal -1 binary64)) x) |
(*.f64 x (-.f64 eps #s(literal -1 binary64))) |
(/.f64 (*.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1 binary64)) x) (fma.f64 eps (-.f64 eps #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) x) (-.f64 #s(literal 1 binary64) eps)) |
(/.f64 (*.f64 x (+.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 eps (-.f64 eps #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 eps eps))) (-.f64 #s(literal 1 binary64) eps)) |
(fma.f64 x eps (*.f64 x #s(literal 1 binary64))) |
(fma.f64 x #s(literal 1 binary64) (*.f64 x eps)) |
(fma.f64 eps x (*.f64 #s(literal 1 binary64) x)) |
(fma.f64 #s(literal 1 binary64) x (*.f64 eps x)) |
(+.f64 (*.f64 eps x) (*.f64 #s(literal 1 binary64) x)) |
(+.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 eps x)) |
(+.f64 (*.f64 x eps) (*.f64 x #s(literal 1 binary64))) |
(+.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x eps)) |
(*.f64 (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) eps)) (neg.f64 x)) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) eps)) (neg.f64 x))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -2 binary64))) (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) eps)) (neg.f64 x))) (-.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -1 binary64)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 eps #s(literal -3 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) eps)) (neg.f64 x))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -2 binary64))) (pow.f64 eps #s(literal -1 binary64)))) |
(/.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) eps)) (neg.f64 x)) (-.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -2 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -1 binary64)))) |
(/.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) eps)) (neg.f64 x)) (+.f64 (pow.f64 eps #s(literal -3 binary64)) #s(literal 1 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -2 binary64))) (pow.f64 eps #s(literal -1 binary64)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -2 binary64)))) (*.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -1 binary64))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 eps #s(literal -3 binary64)) #s(literal 1 binary64))) (*.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -2 binary64))) (pow.f64 eps #s(literal -1 binary64))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -2 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -1 binary64))) (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 eps #s(literal -3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -2 binary64))) (pow.f64 eps #s(literal -1 binary64))) (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps)))) |
(/.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps))) |
(fma.f64 (cosh.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (sinh.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) eps)) (neg.f64 x)) (pow.f64 eps #s(literal -1 binary64)) (*.f64 (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) eps)) (neg.f64 x)) #s(literal 1 binary64))) |
(fma.f64 (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) eps)) (neg.f64 x)) #s(literal 1 binary64) (*.f64 (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) eps)) (neg.f64 x)) (pow.f64 eps #s(literal -1 binary64)))) |
(fma.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (cosh.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps))) (*.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (sinh.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))))) |
(fma.f64 (pow.f64 eps #s(literal -1 binary64)) (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) eps)) (neg.f64 x)) (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) eps)) (neg.f64 x))) |
(fma.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) eps)) (neg.f64 x)) (*.f64 (pow.f64 eps #s(literal -1 binary64)) (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) eps)) (neg.f64 x)))) |
(+.f64 (*.f64 (pow.f64 eps #s(literal -1 binary64)) (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) eps)) (neg.f64 x))) (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) eps)) (neg.f64 x))) |
(+.f64 (*.f64 (cosh.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))) (*.f64 (sinh.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(+.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) eps)) (neg.f64 x)) (pow.f64 eps #s(literal -1 binary64))) (*.f64 (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) eps)) (neg.f64 x)) #s(literal 1 binary64))) |
(+.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) eps)) (neg.f64 x)) #s(literal 1 binary64)) (*.f64 (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) eps)) (neg.f64 x)) (pow.f64 eps #s(literal -1 binary64)))) |
(+.f64 (*.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (cosh.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) (*.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (sinh.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))))) |
(+.f64 (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) eps)) (neg.f64 x)) (*.f64 (pow.f64 eps #s(literal -1 binary64)) (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) eps)) (neg.f64 x)))) |
Compiled 5 864 to 789 computations (86.5% saved)
7 alts after pruning (7 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 125 | 7 | 132 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 126 | 7 | 133 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 68.8% | (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal 2 binary64)) |
| ▶ | 38.4% | (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
| 41.4% | (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) | |
| ▶ | 42.9% | (/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) |
| ▶ | 50.2% | (/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (*.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) x #s(literal 2 binary64))) #s(literal 2 binary64)) |
| 59.1% | (/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (+.f64 #s(literal 1 binary64) x) (exp.f64 (neg.f64 x)) (/.f64 (+.f64 #s(literal 1 binary64) x) (exp.f64 x)))) #s(literal 2 binary64)) | |
| ▶ | 50.2% | (/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(literal 2 binary64)) #s(literal 2 binary64)) |
Compiled 536 to 342 computations (36.2% saved)
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) | |
| cost-diff | 0 | (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64)) | |
| cost-diff | 1 | (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)) | |
| cost-diff | 0 | (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) | |
| cost-diff | 0 | (/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) | |
| cost-diff | 1 | (*.f64 (+.f64 #s(literal 1 binary64) eps) x) | |
| cost-diff | 1 | (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))) | |
| cost-diff | 0 | #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (*.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) x #s(literal 2 binary64))) | |
| cost-diff | 0 | (/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (*.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) x #s(literal 2 binary64))) #s(literal 2 binary64)) | |
| cost-diff | 4 | (*.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) | |
| cost-diff | 4 | (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (*.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) | |
| cost-diff | 0 | #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(literal 2 binary64)) | |
| cost-diff | 0 | (/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(literal 2 binary64)) #s(literal 2 binary64)) | |
| cost-diff | 0 | (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) | |
| cost-diff | 0 | (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) | |
| cost-diff | 0 | (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal 2 binary64)) | |
| cost-diff | 1 | (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 664 |
| 0 | 88 | 663 |
| 1 | 161 | 635 |
| 2 | 392 | 622 |
| 3 | 1535 | 586 |
| 0 | 8640 | 582 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal 2 binary64)) |
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) eps) |
eps |
(exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))) |
(neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)) |
(*.f64 (-.f64 #s(literal 1 binary64) eps) x) |
(-.f64 #s(literal 1 binary64) eps) |
x |
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))) |
(/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))) |
#s(literal -1 binary64) |
(exp.f64 (fma.f64 x eps x)) |
(fma.f64 x eps x) |
#s(literal 2 binary64) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(literal 2 binary64)) #s(literal 2 binary64)) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (*.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) x #s(literal 2 binary64))) #s(literal 2 binary64)) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (*.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) x #s(literal 2 binary64))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (*.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) x #s(literal 2 binary64)) |
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (*.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) eps) |
#s(literal 1 binary64) |
eps |
(+.f64 #s(literal 1 binary64) eps) |
(*.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) |
(-.f64 eps #s(literal 1 binary64)) |
(+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) |
x |
#s(literal 2 binary64) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) |
(-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) |
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) |
(+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) eps) |
#s(literal 1 binary64) |
eps |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))) |
(-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) |
(exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))) |
(neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)) |
(*.f64 (+.f64 #s(literal 1 binary64) eps) x) |
(+.f64 #s(literal 1 binary64) eps) |
x |
#s(literal 2 binary64) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) eps) |
eps |
(exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))) |
(neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)) |
(*.f64 (-.f64 #s(literal 1 binary64) eps) x) |
(-.f64 #s(literal 1 binary64) eps) |
x |
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) |
(-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) |
#s(literal 2 binary64) |
| Outputs |
|---|
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (pow.f64 (exp.f64 x) (+.f64 #s(literal -1 binary64) eps))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal 2 binary64)) |
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) |
(-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (pow.f64 (exp.f64 x) (+.f64 #s(literal -1 binary64) eps))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (pow.f64 (exp.f64 x) (+.f64 #s(literal -1 binary64) eps))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) |
(-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) eps) |
eps |
(exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))) |
(pow.f64 (exp.f64 x) (+.f64 #s(literal -1 binary64) eps)) |
(neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)) |
(*.f64 (+.f64 #s(literal -1 binary64) eps) x) |
(*.f64 (-.f64 #s(literal 1 binary64) eps) x) |
(*.f64 x (-.f64 #s(literal 1 binary64) eps)) |
(-.f64 #s(literal 1 binary64) eps) |
x |
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))) |
(/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))) |
#s(literal -1 binary64) |
(exp.f64 (fma.f64 x eps x)) |
(fma.f64 x eps x) |
#s(literal 2 binary64) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(literal 2 binary64)) #s(literal 2 binary64)) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (*.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) x #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) eps (-.f64 eps #s(literal 1 binary64))) x #s(literal 2 binary64))) #s(literal 2 binary64)) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (*.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) x #s(literal 2 binary64))) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) eps (-.f64 eps #s(literal 1 binary64))) x #s(literal 2 binary64))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (*.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) x #s(literal 2 binary64)) |
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) eps (-.f64 eps #s(literal 1 binary64))) x #s(literal 2 binary64)) |
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (*.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) |
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) eps (-.f64 eps #s(literal 1 binary64))) |
(-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) eps) |
#s(literal 1 binary64) |
eps |
(+.f64 #s(literal 1 binary64) eps) |
(-.f64 eps #s(literal -1 binary64)) |
(*.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) |
(-.f64 eps (/.f64 #s(literal 1 binary64) eps)) |
(-.f64 eps #s(literal 1 binary64)) |
(+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) |
x |
#s(literal 2 binary64) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (fma.f64 x eps x)))) #s(literal 2 binary64)) |
(-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) |
(-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (fma.f64 x eps x)))) |
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) |
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))) |
(+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) eps) |
#s(literal 1 binary64) |
eps |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (fma.f64 x eps x))) |
(-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) |
(exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))) |
(exp.f64 (neg.f64 (fma.f64 x eps x))) |
(neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)) |
(neg.f64 (fma.f64 x eps x)) |
(*.f64 (+.f64 #s(literal 1 binary64) eps) x) |
(fma.f64 x eps x) |
(+.f64 #s(literal 1 binary64) eps) |
(-.f64 eps #s(literal -1 binary64)) |
x |
#s(literal 2 binary64) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (pow.f64 (exp.f64 x) (+.f64 #s(literal -1 binary64) eps))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) |
(-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (pow.f64 (exp.f64 x) (+.f64 #s(literal -1 binary64) eps))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (pow.f64 (exp.f64 x) (+.f64 #s(literal -1 binary64) eps))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) |
(-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) eps) |
eps |
(exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))) |
(pow.f64 (exp.f64 x) (+.f64 #s(literal -1 binary64) eps)) |
(neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)) |
(*.f64 (+.f64 #s(literal -1 binary64) eps) x) |
(*.f64 (-.f64 #s(literal 1 binary64) eps) x) |
(*.f64 x (-.f64 #s(literal 1 binary64) eps)) |
(-.f64 #s(literal 1 binary64) eps) |
x |
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) |
(-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) |
#s(literal 2 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))) | |
| accuracy | 0.0078125 | (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) | |
| accuracy | 18.56906805804422 | #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) | |
| accuracy | 18.648437500000004 | (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) | |
| accuracy | 0.0078125 | (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))) | |
| accuracy | 0.01171875 | (*.f64 (+.f64 #s(literal 1 binary64) eps) x) | |
| accuracy | 18.56253098046301 | #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) | |
| accuracy | 18.648437500000004 | (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) | |
| accuracy | 0.0 | (+.f64 #s(literal 1 binary64) eps) | |
| accuracy | 0.00390625 | (*.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) | |
| accuracy | 2.17750285165106 | (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (*.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) | |
| accuracy | 18.0680165715364 | #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (*.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) x #s(literal 2 binary64))) | |
| accuracy | 0.0 | (/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(literal 2 binary64)) #s(literal 2 binary64)) | |
| accuracy | 18.0680165715364 | #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(literal 2 binary64)) | |
| accuracy | 0.0078125 | (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))) | |
| accuracy | 0.0078125 | (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) | |
| accuracy | 18.648437500000004 | (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) | |
| accuracy | 20.19179122019905 | #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))) |
| 92.0ms | 88× | 2 | valid |
| 81.0ms | 111× | 1 | valid |
| 15.0ms | 57× | 0 | exit |
Compiled 564 to 33 computations (94.1% saved)
ival-mult: 52.0ms (36.5% of total)adjust: 33.0ms (23.2% of total)ival-exp: 21.0ms (14.8% of total)ival-add: 13.0ms (9.1% of total)ival-div: 11.0ms (7.7% of total)ival-sub: 9.0ms (6.3% of total)ival-neg: 3.0ms (2.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal 2 binary64)) |
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(literal 2 binary64)) #s(literal 2 binary64)) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(literal 2 binary64)) |
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (*.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) |
(*.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (*.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) x #s(literal 2 binary64))) #s(literal 2 binary64)) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (*.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) x #s(literal 2 binary64))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))) |
(*.f64 (+.f64 #s(literal 1 binary64) eps) x) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) |
(-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) |
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))) |
(/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))) |
(+.f64 #s(literal 1 binary64) eps) |
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) |
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) |
(exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))) |
| Outputs |
|---|
(* x (- eps 1)) |
1 |
(+ 1 (* 1/2 (* x (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))) |
(+ 1 (* x (+ (* 1/2 (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) (* 1/2 (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1)))))))) |
(+ 1 (* x (+ (* 1/2 (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))) (* x (+ (* 1/2 (* x (- (* 1/6 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3))) (* -1/6 (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))))) (* 1/2 (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))))))) |
2 |
(+ 2 (* x (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1)))))) |
(+ 2 (* x (- (+ (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))) (* (+ 1 (/ 1 eps)) (- eps 1))) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1)))))) |
(+ 2 (* x (- (+ (* x (- (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* x (- (* 1/6 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3))) (* -1/6 (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))) (* (+ 1 (/ 1 eps)) (- eps 1))) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1)))))) |
(+ 1 (/ 1 eps)) |
(+ 1 (+ (* x (* (+ 1 (/ 1 eps)) (- eps 1))) (/ 1 eps))) |
(+ 1 (+ (* x (+ (* 1/2 (* x (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2)))) (* (+ 1 (/ 1 eps)) (- eps 1)))) (/ 1 eps))) |
(+ 1 (+ (* x (+ (* x (+ (* 1/6 (* x (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3)))) (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))))) (* (+ 1 (/ 1 eps)) (- eps 1)))) (/ 1 eps))) |
(- (/ 1 eps) 1) |
(- (+ (* -1 (* x (* (+ 1 eps) (- (/ 1 eps) 1)))) (/ 1 eps)) 1) |
(- (+ (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (* 1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) (/ 1 eps)) 1) |
(- (+ (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (* x (+ (* -1/6 (* x (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))))) (/ 1 eps)) 1) |
(* x (+ 1 eps)) |
-1 |
(- (* x (+ 1 eps)) 1) |
(- (* x (- (* -1 (* x (+ (* -1/2 (pow (+ 1 eps) 2)) (pow (+ 1 eps) 2)))) (* -1 (+ 1 eps)))) 1) |
(- (* x (- (* x (- (* -1 (* x (+ (* -1 (* (+ 1 eps) (+ (* -1/2 (pow (+ 1 eps) 2)) (pow (+ 1 eps) 2)))) (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/2 (pow (+ 1 eps) 3)))))) (+ (* -1/2 (pow (+ 1 eps) 2)) (pow (+ 1 eps) 2)))) (* -1 (+ 1 eps)))) 1) |
(+ 1 (* x (- eps 1))) |
(+ 1 (* x (- (+ eps (* 1/2 (* x (pow (- eps 1) 2)))) 1))) |
(+ 1 (* x (- (+ eps (* x (+ (* 1/6 (* x (pow (- eps 1) 3))) (* 1/2 (pow (- eps 1) 2))))) 1))) |
(* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1)))) |
(- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))) |
(* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) |
(* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1)) |
(/ -1 (exp (+ x (* eps x)))) |
(exp (- (* eps x) x)) |
(* -1 (* x (- 1 eps))) |
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))) |
(- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))) |
(* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) |
(* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)) |
(/ -1 (exp (- (* eps x) (* -1 x)))) |
(exp (neg (* x (- 1 eps)))) |
(* -1 x) |
(- (* eps x) x) |
(* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) |
(+ (* 1/2 (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x)))))))) (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))))) |
(+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x)))))))) (* 1/2 (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x)))))))))) |
(+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/5040 (* (pow x 7) (exp (neg x)))) (* 1/720 (* (pow x 6) (exp (neg x))))) (+ (* -1/720 (* (pow x 6) (exp (neg x)))) (* -1/5040 (* (pow x 7) (exp (neg x)))))))) (* 1/2 (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x)))))))))))) |
(- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))) |
(- (+ (exp (neg x)) (+ (* x (exp (neg x))) (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))) |
(- (+ (exp (neg x)) (+ (* x (exp (neg x))) (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* (pow eps 2) (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x))))))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))) |
(- (+ (exp (neg x)) (+ (* x (exp (neg x))) (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* (pow eps 2) (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (+ (* 1/24 (* (pow x 4) (exp (neg x)))) (* (pow eps 2) (- (+ (* 1/5040 (* (pow x 7) (exp (neg x)))) (* 1/720 (* (pow x 6) (exp (neg x))))) (+ (* -1/720 (* (pow x 6) (exp (neg x)))) (* -1/5040 (* (pow x 7) (exp (neg x))))))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x))))))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))) |
(/ (exp (neg x)) eps) |
(/ (+ (exp (neg x)) (* eps (+ (exp (neg x)) (* x (exp (neg x)))))) eps) |
(/ (+ (exp (neg x)) (* eps (+ (exp (neg x)) (+ (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* x (exp (neg x))))) (* x (exp (neg x))))))) eps) |
(/ (+ (exp (neg x)) (* eps (+ (exp (neg x)) (+ (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (+ (* eps (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x)))))) (* x (exp (neg x)))))) (* x (exp (neg x))))))) eps) |
0 |
(/ -1 eps) |
(/ (- (pow eps 2) 1) eps) |
(/ (+ (exp (neg x)) (* eps (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) eps) |
(/ (+ (exp (neg x)) (* eps (+ (* -1 (exp (neg x))) (+ (* -1 (* x (exp (neg x)))) (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* x (exp (neg x))))))))) eps) |
(/ (+ (exp (neg x)) (* eps (+ (* -1 (exp (neg x))) (+ (* -1 (* x (exp (neg x)))) (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (+ (* eps (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x)))))) (* x (exp (neg x)))))))))) eps) |
x |
(+ x (* eps x)) |
(/ -1 (exp x)) |
(- (/ (* eps x) (exp x)) (/ 1 (exp x))) |
(- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (pow x 2) (exp x))) (/ (pow x 2) (exp x))))) (* -1 (/ x (exp x))))) (/ 1 (exp x))) |
(- (* eps (- (* eps (- (* -1 (* eps (+ (* -1 (* x (+ (* -1/2 (/ (pow x 2) (exp x))) (/ (pow x 2) (exp x))))) (+ (* -1/6 (/ (pow x 3) (exp x))) (* 1/2 (/ (pow x 3) (exp x))))))) (+ (* -1/2 (/ (pow x 2) (exp x))) (/ (pow x 2) (exp x))))) (* -1 (/ x (exp x))))) (/ 1 (exp x))) |
(+ 1 eps) |
(exp (neg x)) |
(+ (exp (neg x)) (* eps (* x (exp (neg x))))) |
(+ (exp (neg x)) (* eps (+ (* 1/2 (* eps (* (pow x 2) (exp (neg x))))) (* x (exp (neg x)))))) |
(+ (exp (neg x)) (* eps (+ (* eps (+ (* 1/6 (* eps (* (pow x 3) (exp (neg x))))) (* 1/2 (* (pow x 2) (exp (neg x)))))) (* x (exp (neg x)))))) |
(* eps x) |
(* eps (- (* -1 (/ x eps)) (* -1 x))) |
(* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) |
(+ (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (* 1/2 (/ (- (exp (neg (* x (- 1 eps)))) (exp (neg (* x (+ 1 eps))))) eps))) |
(- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps)))))) |
(- (+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps)) (+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps))) |
(+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps)) |
eps |
(* eps (- 1 (/ 1 (pow eps 2)))) |
(* -1 (exp (neg (* x (+ 1 eps))))) |
(+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps)) |
(* eps (+ x (/ x eps))) |
(* eps (+ 1 (/ 1 eps))) |
(* -1 (* eps (- (/ x eps) x))) |
(* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))) |
(+ (* -1/2 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps)) (* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))))) |
(- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) |
(- (+ (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) |
(exp (neg (* x (+ 1 (* -1 eps))))) |
(+ (exp (neg (* x (+ 1 (* -1 eps))))) (/ (exp (neg (* x (+ 1 (* -1 eps))))) eps)) |
(* -1 (* eps (- (/ 1 (pow eps 2)) 1))) |
(* -1 (exp (neg (* x (- 1 (* -1 eps)))))) |
(+ (* -1 (exp (neg (* x (- 1 (* -1 eps)))))) (/ (exp (neg (* x (- 1 (* -1 eps))))) eps)) |
(* -1 (* eps (+ (* -1 x) (* -1 (/ x eps))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 27.0ms | x | @ | inf | ((neg (* (- 1 eps) x)) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (* (- eps 1) (+ (/ 1 eps) 1))) (* (- eps 1) (+ (/ 1 eps) 1)) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (* (+ 1 eps) x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/ -1 (exp (+ (* x eps) x))) (+ 1 eps) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (exp (neg (* (- 1 eps) x)))) |
| 7.0ms | eps | @ | -inf | ((neg (* (- 1 eps) x)) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (* (- eps 1) (+ (/ 1 eps) 1))) (* (- eps 1) (+ (/ 1 eps) 1)) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (* (+ 1 eps) x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/ -1 (exp (+ (* x eps) x))) (+ 1 eps) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (exp (neg (* (- 1 eps) x)))) |
| 4.0ms | eps | @ | 0 | ((neg (* (- 1 eps) x)) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (* (- eps 1) (+ (/ 1 eps) 1))) (* (- eps 1) (+ (/ 1 eps) 1)) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (* (+ 1 eps) x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/ -1 (exp (+ (* x eps) x))) (+ 1 eps) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (exp (neg (* (- 1 eps) x)))) |
| 3.0ms | x | @ | -inf | ((neg (* (- 1 eps) x)) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (* (- eps 1) (+ (/ 1 eps) 1))) (* (- eps 1) (+ (/ 1 eps) 1)) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (* (+ 1 eps) x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/ -1 (exp (+ (* x eps) x))) (+ 1 eps) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (exp (neg (* (- 1 eps) x)))) |
| 3.0ms | eps | @ | inf | ((neg (* (- 1 eps) x)) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (* (- eps 1) (+ (/ 1 eps) 1))) (* (- eps 1) (+ (/ 1 eps) 1)) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (* (+ 1 eps) x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/ -1 (exp (+ (* x eps) x))) (+ 1 eps) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (exp (neg (* (- 1 eps) x)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 396 | 2309 |
| 1 | 1395 | 2050 |
| 2 | 7040 | 2028 |
| 0 | 8216 | 1908 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (- eps 1)) |
1 |
(+ 1 (* 1/2 (* x (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))) |
(+ 1 (* x (+ (* 1/2 (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) (* 1/2 (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1)))))))) |
(+ 1 (* x (+ (* 1/2 (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))) (* x (+ (* 1/2 (* x (- (* 1/6 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3))) (* -1/6 (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))))) (* 1/2 (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))))))) |
2 |
(+ 2 (* x (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1)))))) |
(+ 2 (* x (- (+ (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))) (* (+ 1 (/ 1 eps)) (- eps 1))) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1)))))) |
(+ 2 (* x (- (+ (* x (- (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* x (- (* 1/6 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3))) (* -1/6 (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))) (* (+ 1 (/ 1 eps)) (- eps 1))) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1)))))) |
(+ 1 (/ 1 eps)) |
(+ 1 (+ (* x (* (+ 1 (/ 1 eps)) (- eps 1))) (/ 1 eps))) |
(+ 1 (+ (* x (+ (* 1/2 (* x (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2)))) (* (+ 1 (/ 1 eps)) (- eps 1)))) (/ 1 eps))) |
(+ 1 (+ (* x (+ (* x (+ (* 1/6 (* x (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3)))) (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))))) (* (+ 1 (/ 1 eps)) (- eps 1)))) (/ 1 eps))) |
(- (/ 1 eps) 1) |
(- (+ (* -1 (* x (* (+ 1 eps) (- (/ 1 eps) 1)))) (/ 1 eps)) 1) |
(- (+ (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (* 1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) (/ 1 eps)) 1) |
(- (+ (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (* x (+ (* -1/6 (* x (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))))) (/ 1 eps)) 1) |
(* x (+ 1 eps)) |
-1 |
(- (* x (+ 1 eps)) 1) |
(- (* x (- (* -1 (* x (+ (* -1/2 (pow (+ 1 eps) 2)) (pow (+ 1 eps) 2)))) (* -1 (+ 1 eps)))) 1) |
(- (* x (- (* x (- (* -1 (* x (+ (* -1 (* (+ 1 eps) (+ (* -1/2 (pow (+ 1 eps) 2)) (pow (+ 1 eps) 2)))) (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/2 (pow (+ 1 eps) 3)))))) (+ (* -1/2 (pow (+ 1 eps) 2)) (pow (+ 1 eps) 2)))) (* -1 (+ 1 eps)))) 1) |
(+ 1 (* x (- eps 1))) |
(+ 1 (* x (- (+ eps (* 1/2 (* x (pow (- eps 1) 2)))) 1))) |
(+ 1 (* x (- (+ eps (* x (+ (* 1/6 (* x (pow (- eps 1) 3))) (* 1/2 (pow (- eps 1) 2))))) 1))) |
(* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1)))) |
(- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))) |
(* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) |
(* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1)) |
(/ -1 (exp (+ x (* eps x)))) |
(exp (- (* eps x) x)) |
(* -1 (* x (- 1 eps))) |
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))) |
(- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))) |
(* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) |
(* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)) |
(/ -1 (exp (- (* eps x) (* -1 x)))) |
(exp (neg (* x (- 1 eps)))) |
(* -1 x) |
(- (* eps x) x) |
(* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) |
(+ (* 1/2 (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x)))))))) (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))))) |
(+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x)))))))) (* 1/2 (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x)))))))))) |
(+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/5040 (* (pow x 7) (exp (neg x)))) (* 1/720 (* (pow x 6) (exp (neg x))))) (+ (* -1/720 (* (pow x 6) (exp (neg x)))) (* -1/5040 (* (pow x 7) (exp (neg x)))))))) (* 1/2 (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x)))))))))))) |
(- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))) |
(- (+ (exp (neg x)) (+ (* x (exp (neg x))) (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))) |
(- (+ (exp (neg x)) (+ (* x (exp (neg x))) (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* (pow eps 2) (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x))))))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))) |
(- (+ (exp (neg x)) (+ (* x (exp (neg x))) (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* (pow eps 2) (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (+ (* 1/24 (* (pow x 4) (exp (neg x)))) (* (pow eps 2) (- (+ (* 1/5040 (* (pow x 7) (exp (neg x)))) (* 1/720 (* (pow x 6) (exp (neg x))))) (+ (* -1/720 (* (pow x 6) (exp (neg x)))) (* -1/5040 (* (pow x 7) (exp (neg x))))))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x))))))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))) |
(/ (exp (neg x)) eps) |
(/ (+ (exp (neg x)) (* eps (+ (exp (neg x)) (* x (exp (neg x)))))) eps) |
(/ (+ (exp (neg x)) (* eps (+ (exp (neg x)) (+ (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* x (exp (neg x))))) (* x (exp (neg x))))))) eps) |
(/ (+ (exp (neg x)) (* eps (+ (exp (neg x)) (+ (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (+ (* eps (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x)))))) (* x (exp (neg x)))))) (* x (exp (neg x))))))) eps) |
0 |
(/ -1 eps) |
(/ (- (pow eps 2) 1) eps) |
(/ (+ (exp (neg x)) (* eps (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) eps) |
(/ (+ (exp (neg x)) (* eps (+ (* -1 (exp (neg x))) (+ (* -1 (* x (exp (neg x)))) (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* x (exp (neg x))))))))) eps) |
(/ (+ (exp (neg x)) (* eps (+ (* -1 (exp (neg x))) (+ (* -1 (* x (exp (neg x)))) (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (+ (* eps (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x)))))) (* x (exp (neg x)))))))))) eps) |
x |
(+ x (* eps x)) |
(/ -1 (exp x)) |
(- (/ (* eps x) (exp x)) (/ 1 (exp x))) |
(- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (pow x 2) (exp x))) (/ (pow x 2) (exp x))))) (* -1 (/ x (exp x))))) (/ 1 (exp x))) |
(- (* eps (- (* eps (- (* -1 (* eps (+ (* -1 (* x (+ (* -1/2 (/ (pow x 2) (exp x))) (/ (pow x 2) (exp x))))) (+ (* -1/6 (/ (pow x 3) (exp x))) (* 1/2 (/ (pow x 3) (exp x))))))) (+ (* -1/2 (/ (pow x 2) (exp x))) (/ (pow x 2) (exp x))))) (* -1 (/ x (exp x))))) (/ 1 (exp x))) |
(+ 1 eps) |
(exp (neg x)) |
(+ (exp (neg x)) (* eps (* x (exp (neg x))))) |
(+ (exp (neg x)) (* eps (+ (* 1/2 (* eps (* (pow x 2) (exp (neg x))))) (* x (exp (neg x)))))) |
(+ (exp (neg x)) (* eps (+ (* eps (+ (* 1/6 (* eps (* (pow x 3) (exp (neg x))))) (* 1/2 (* (pow x 2) (exp (neg x)))))) (* x (exp (neg x)))))) |
(* eps x) |
(* eps (- (* -1 (/ x eps)) (* -1 x))) |
(* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) |
(+ (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (* 1/2 (/ (- (exp (neg (* x (- 1 eps)))) (exp (neg (* x (+ 1 eps))))) eps))) |
(- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps)))))) |
(- (+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps)) (+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps))) |
(+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps)) |
eps |
(* eps (- 1 (/ 1 (pow eps 2)))) |
(* -1 (exp (neg (* x (+ 1 eps))))) |
(+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps)) |
(* eps (+ x (/ x eps))) |
(* eps (+ 1 (/ 1 eps))) |
(* -1 (* eps (- (/ x eps) x))) |
(* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))) |
(+ (* -1/2 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps)) (* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))))) |
(- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) |
(- (+ (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) |
(exp (neg (* x (+ 1 (* -1 eps))))) |
(+ (exp (neg (* x (+ 1 (* -1 eps))))) (/ (exp (neg (* x (+ 1 (* -1 eps))))) eps)) |
(* -1 (* eps (- (/ 1 (pow eps 2)) 1))) |
(* -1 (exp (neg (* x (- 1 (* -1 eps)))))) |
(+ (* -1 (exp (neg (* x (- 1 (* -1 eps)))))) (/ (exp (neg (* x (- 1 (* -1 eps))))) eps)) |
(* -1 (* eps (+ (* -1 x) (* -1 (/ x eps))))) |
| Outputs |
|---|
(* x (- eps 1)) |
(*.f64 (-.f64 eps #s(literal 1 binary64)) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (* x (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (*.f64 (-.f64 eps #s(literal 1 binary64)) (/.f64 (-.f64 eps #s(literal -1 binary64)) eps))) #s(literal 1 binary64)) |
(+ 1 (* x (+ (* 1/2 (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) (* 1/2 (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1)))))))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (pow.f64 (-.f64 eps #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) eps) #s(literal 1/2 binary64)) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64)))) x (fma.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (*.f64 (-.f64 eps #s(literal 1 binary64)) (/.f64 (-.f64 eps #s(literal -1 binary64)) eps)))) #s(literal 1 binary64)) |
(+ 1 (* x (+ (* 1/2 (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))) (* x (+ (* 1/2 (* x (- (* 1/6 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3))) (* -1/6 (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))))) (* 1/2 (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 (-.f64 eps #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (fma.f64 (*.f64 #s(literal 1/6 binary64) (fma.f64 (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 3 binary64)) (/.f64 (-.f64 eps #s(literal -1 binary64)) eps) (*.f64 (pow.f64 (-.f64 eps #s(literal -1 binary64)) #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))) x (*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) eps) #s(literal 1/2 binary64)) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64))))) (*.f64 (fma.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (*.f64 (-.f64 eps #s(literal 1 binary64)) (/.f64 (-.f64 eps #s(literal -1 binary64)) eps))) #s(literal 1/2 binary64))) x #s(literal 1 binary64)) |
2 |
#s(literal 2 binary64) |
(+ 2 (* x (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1)))))) |
(fma.f64 (fma.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (*.f64 (-.f64 eps #s(literal 1 binary64)) (/.f64 (-.f64 eps #s(literal -1 binary64)) eps))) x #s(literal 2 binary64)) |
(+ 2 (* x (- (+ (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))) (* (+ 1 (/ 1 eps)) (- eps 1))) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1)))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (pow.f64 (-.f64 eps #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) eps) #s(literal 1/2 binary64)) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64)))) x (fma.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (*.f64 (-.f64 eps #s(literal 1 binary64)) (/.f64 (-.f64 eps #s(literal -1 binary64)) eps)))) x #s(literal 2 binary64)) |
(+ 2 (* x (- (+ (* x (- (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* x (- (* 1/6 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3))) (* -1/6 (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))) (* (+ 1 (/ 1 eps)) (- eps 1))) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 (-.f64 eps #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (fma.f64 (*.f64 #s(literal 1/6 binary64) (fma.f64 (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 3 binary64)) (/.f64 (-.f64 eps #s(literal -1 binary64)) eps) (*.f64 (pow.f64 (-.f64 eps #s(literal -1 binary64)) #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))) x (*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) eps) #s(literal 1/2 binary64)) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64))))) x (fma.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (*.f64 (-.f64 eps #s(literal 1 binary64)) (/.f64 (-.f64 eps #s(literal -1 binary64)) eps)))) x #s(literal 2 binary64)) |
(+ 1 (/ 1 eps)) |
(/.f64 (-.f64 eps #s(literal -1 binary64)) eps) |
(+ 1 (+ (* x (* (+ 1 (/ 1 eps)) (- eps 1))) (/ 1 eps))) |
(fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) eps) x x) (-.f64 eps #s(literal 1 binary64)) (/.f64 (-.f64 eps #s(literal -1 binary64)) eps)) |
(+ 1 (+ (* x (+ (* 1/2 (* x (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2)))) (* (+ 1 (/ 1 eps)) (- eps 1)))) (/ 1 eps))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) eps) x x)) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (-.f64 eps #s(literal 1 binary64)) (/.f64 (-.f64 eps #s(literal -1 binary64)) eps))) x (/.f64 (-.f64 eps #s(literal -1 binary64)) eps)) |
(+ 1 (+ (* x (+ (* x (+ (* 1/6 (* x (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3)))) (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))))) (* (+ 1 (/ 1 eps)) (- eps 1)))) (/ 1 eps))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) eps) x x)) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 3 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) eps) #s(literal 1/2 binary64)) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64)))) x (*.f64 (-.f64 eps #s(literal 1 binary64)) (/.f64 (-.f64 eps #s(literal -1 binary64)) eps))) x (/.f64 (-.f64 eps #s(literal -1 binary64)) eps)) |
(- (/ 1 eps) 1) |
(-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) |
(- (+ (* -1 (* x (* (+ 1 eps) (- (/ 1 eps) 1)))) (/ 1 eps)) 1) |
(fma.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) |
(- (+ (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (* 1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) (/ 1 eps)) 1) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (pow.f64 (-.f64 eps #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) x (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) |
(- (+ (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (* x (+ (* -1/6 (* x (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))))) (/ 1 eps)) 1) |
(fma.f64 (fma.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 (-.f64 eps #s(literal -1 binary64)) #s(literal 3 binary64)) x)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (pow.f64 (-.f64 eps #s(literal -1 binary64)) #s(literal 2 binary64)))) x)) x (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) |
(* x (+ 1 eps)) |
(fma.f64 x eps x) |
-1 |
#s(literal -1 binary64) |
(- (* x (+ 1 eps)) 1) |
(-.f64 (fma.f64 x eps x) #s(literal 1 binary64)) |
(- (* x (- (* -1 (* x (+ (* -1/2 (pow (+ 1 eps) 2)) (pow (+ 1 eps) 2)))) (* -1 (+ 1 eps)))) 1) |
(-.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (-.f64 eps #s(literal -1 binary64)) #s(literal 2 binary64))) x (-.f64 eps #s(literal -1 binary64))) x) #s(literal 1 binary64)) |
(- (* x (- (* x (- (* -1 (* x (+ (* -1 (* (+ 1 eps) (+ (* -1/2 (pow (+ 1 eps) 2)) (pow (+ 1 eps) 2)))) (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/2 (pow (+ 1 eps) 3)))))) (+ (* -1/2 (pow (+ 1 eps) 2)) (pow (+ 1 eps) 2)))) (* -1 (+ 1 eps)))) 1) |
(-.f64 (*.f64 (fma.f64 (fma.f64 (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (-.f64 eps #s(literal -1 binary64)) #s(literal 3 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (-.f64 eps #s(literal -1 binary64)) #s(literal 3 binary64)))) (*.f64 #s(literal -1/2 binary64) (pow.f64 (-.f64 eps #s(literal -1 binary64)) #s(literal 2 binary64)))) x (-.f64 eps #s(literal -1 binary64))) x) #s(literal 1 binary64)) |
(+ 1 (* x (- eps 1))) |
(fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (- (+ eps (* 1/2 (* x (pow (- eps 1) 2)))) 1))) |
(fma.f64 (fma.f64 (*.f64 (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64)) x) #s(literal 1/2 binary64) (-.f64 eps #s(literal 1 binary64))) x #s(literal 1 binary64)) |
(+ 1 (* x (- (+ eps (* x (+ (* 1/6 (* x (pow (- eps 1) 3))) (* 1/2 (pow (- eps 1) 2))))) 1))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 3 binary64)) x) #s(literal 1/6 binary64) (*.f64 (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) x (-.f64 eps #s(literal 1 binary64))) x #s(literal 1 binary64)) |
(* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1)))) |
(*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (*.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (/.f64 (-.f64 eps #s(literal -1 binary64)) eps))) #s(literal 1/2 binary64)) |
(- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (*.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (/.f64 (-.f64 eps #s(literal -1 binary64)) eps))) |
(* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) |
(*.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (/.f64 (-.f64 eps #s(literal -1 binary64)) eps)) |
(* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1)) |
(*.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) |
(/ -1 (exp (+ x (* eps x)))) |
(/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))) |
(exp (- (* eps x) x)) |
(exp.f64 (-.f64 (*.f64 x eps) x)) |
(* -1 (* x (- 1 eps))) |
(*.f64 (+.f64 #s(literal -1 binary64) eps) x) |
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))) |
(*.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal -1 binary64) eps)) (/.f64 (-.f64 eps #s(literal -1 binary64)) eps)) (*.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 1/2 binary64)) |
(- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))) |
(-.f64 (*.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal -1 binary64) eps)) (/.f64 (-.f64 eps #s(literal -1 binary64)) eps)) (*.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) |
(* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) |
(*.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal -1 binary64) eps)) (/.f64 (-.f64 eps #s(literal -1 binary64)) eps)) |
(* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)) |
(*.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) |
(/ -1 (exp (- (* eps x) (* -1 x)))) |
(/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))) |
(exp (neg (* x (- 1 eps)))) |
(pow.f64 (exp.f64 x) (+.f64 #s(literal -1 binary64) eps)) |
(* -1 x) |
(neg.f64 x) |
(- (* eps x) x) |
(-.f64 (*.f64 x eps) x) |
(* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) |
(*.f64 (fma.f64 (exp.f64 (neg.f64 x)) (-.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 x (exp.f64 x))) #s(literal 1/2 binary64)) |
(+ (* 1/2 (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x)))))))) (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))))) |
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(-.f64 (/.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps)) eps) (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps))) |
(* -1 (* eps (+ (* -1 x) (* -1 (/ x eps))))) |
(*.f64 (neg.f64 eps) (-.f64 (/.f64 (neg.f64 x) eps) x)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 508 |
| 0 | 88 | 508 |
| 1 | 308 | 469 |
| 0 | 2457 | 469 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal 2 binary64)) |
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(literal 2 binary64)) #s(literal 2 binary64)) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(literal 2 binary64)) |
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (*.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) |
(*.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (*.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) x #s(literal 2 binary64))) #s(literal 2 binary64)) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (*.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) x #s(literal 2 binary64))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))) |
(*.f64 (+.f64 #s(literal 1 binary64) eps) x) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) |
(-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) |
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))) |
(/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))) |
(+.f64 #s(literal 1 binary64) eps) |
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) |
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) |
(exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))) |
| Outputs |
|---|
(*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps)) |
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) eps)) x) |
(*.f64 x (neg.f64 (-.f64 #s(literal 1 binary64) eps))) |
(*.f64 (-.f64 #s(literal 1 binary64) eps) (neg.f64 x)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))) (neg.f64 x)) (fma.f64 eps (-.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (neg.f64 x)) (-.f64 eps #s(literal -1 binary64))) |
(neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps))) |
(/.f64 (-.f64 (*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64)) (/.f64 (/.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64))) (*.f64 (/.f64 #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))) #s(literal 2 binary64)) (/.f64 #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))) #s(literal 2 binary64)))) (fma.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) eps)) (neg.f64 x)) #s(literal 2 binary64)) (/.f64 #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64)) (/.f64 (/.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))) #s(literal 2 binary64)) (/.f64 #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))) #s(literal 2 binary64)) (*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64)) (/.f64 #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (/.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))))) #s(literal 4 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64)) (pow.f64 #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))) #s(literal 2 binary64))) (*.f64 (fma.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) eps)) (neg.f64 x)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal 2 binary64))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps))) #s(literal 3 binary64)) (pow.f64 #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))) #s(literal 3 binary64))) (*.f64 (fma.f64 #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))) (fma.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) eps)) (neg.f64 x)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) (pow.f64 (/.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64))) #s(literal 2 binary64))) |
(/.f64 (neg.f64 (-.f64 (/.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))))) #s(literal -2 binary64)) |
(/.f64 (-.f64 (/.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal 2 binary64)) |
(neg.f64 (/.f64 (neg.f64 (-.f64 (/.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))))) #s(literal 2 binary64))) |
(neg.f64 (/.f64 (-.f64 (/.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal -2 binary64))) |
(-.f64 (/.f64 (/.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64)) (/.f64 #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))) #s(literal 2 binary64))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64)) (pow.f64 #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) eps)) (neg.f64 x)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps))) #s(literal 3 binary64)) (pow.f64 #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))) (fma.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) eps)) (neg.f64 x)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) (pow.f64 (/.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64)) (pow.f64 #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))) #s(literal 2 binary64))) (fma.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) eps)) (neg.f64 x)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps))) #s(literal 3 binary64)) (pow.f64 #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))) #s(literal 3 binary64))) (fma.f64 #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))) (fma.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) eps)) (neg.f64 x)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) (pow.f64 (/.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64)) (fma.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) eps)) (neg.f64 x)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))))) (/.f64 (pow.f64 #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))) #s(literal 2 binary64)) (fma.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) eps)) (neg.f64 x)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps))) #s(literal 3 binary64)) (fma.f64 #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))) (fma.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) eps)) (neg.f64 x)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) (pow.f64 (/.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64)))) (/.f64 (pow.f64 #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))) #s(literal 3 binary64)) (fma.f64 #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))) (fma.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) eps)) (neg.f64 x)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) (pow.f64 (/.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64))))) |
(-.f64 (/.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) |
(*.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) eps)) (neg.f64 x))) |
(*.f64 (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) eps)) (neg.f64 x)) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -2 binary64))) (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) eps)) (neg.f64 x))) (-.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -1 binary64)))) |
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(pow.f64 (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) eps))) x) |
(pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) eps)) (neg.f64 x)) |
(pow.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps)) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (cosh.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps))) (cosh.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) (*.f64 (sinh.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps))) (sinh.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps))))) (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps))) |
(/.f64 (-.f64 (*.f64 (cosh.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps))) (cosh.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) (*.f64 (sinh.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) (sinh.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))))) (-.f64 (cosh.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps))) (sinh.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))))) |
(/.f64 (-.f64 (pow.f64 (cosh.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps))) (cosh.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps))) (fma.f64 (sinh.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps))) (sinh.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps))) (*.f64 (cosh.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps))) (sinh.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps))))))) |
(/.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps))) (cosh.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps))) (-.f64 (*.f64 (sinh.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) (sinh.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps)))) (*.f64 (cosh.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps))) (sinh.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps)))) |
(-.f64 (cosh.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps))) (sinh.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) |
(exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) |
(exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) |
(+.f64 (cosh.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps))) (sinh.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps)))) |
(+.f64 (sinh.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) (cosh.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) |
Compiled 24 703 to 2 140 computations (91.3% saved)
14 alts after pruning (14 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 442 | 14 | 456 |
| Fresh | 2 | 0 | 2 |
| Picked | 5 | 0 | 5 |
| Done | 0 | 0 | 0 |
| Total | 449 | 14 | 463 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 68.8% | (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))))) #s(literal 2 binary64)) |
| 38.6% | (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (/ -1 (exp (+ (* x eps) x))) (-.f64 (fma.f64 x eps x) #s(literal 1 binary64))))) #s(literal 2 binary64)) | |
| 36.4% | (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (/ -1 (exp (+ (* x eps) x))) #s(literal -1 binary64)))) #s(literal 2 binary64)) | |
| 39.3% | (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal 2 binary64)) | |
| 27.0% | (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64)) | |
| ▶ | 40.9% | (/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (-.f64 eps #s(literal -1 binary64)) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal 2 binary64)) |
| 30.1% | (/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (-.f64 eps #s(literal -1 binary64)) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64)) | |
| 12.3% | (/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (exp.f64 (neg.f64 x)) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64)) | |
| 61.5% | (/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (/.f64 (fma.f64 eps eps #s(literal -1 binary64)) (-.f64 eps #s(literal 1 binary64))) (*.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) x #s(literal 2 binary64))) #s(literal 2 binary64)) | |
| ▶ | 39.9% | (/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (/.f64 (-.f64 eps #s(literal 1 binary64)) eps)) (*.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64)))) (-.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (-.f64 eps #s(literal 1 binary64))))) x #s(literal 2 binary64))) #s(literal 2 binary64)) |
| 58.3% | (/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) #s(approx (* (- eps 1) (+ (/ 1 eps) 1)) (/.f64 #s(literal -1 binary64) eps))) x #s(literal 2 binary64))) #s(literal 2 binary64)) | |
| ▶ | 50.2% | (/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) #s(approx (* (- eps 1) (+ (/ 1 eps) 1)) (-.f64 eps (/.f64 #s(literal 1 binary64) eps)))) x #s(literal 2 binary64))) #s(literal 2 binary64)) |
| 59.1% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (fma.f64 (exp.f64 (neg.f64 x)) (-.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 x (exp.f64 x))) #s(literal 1/2 binary64))) | |
| ▶ | 50.2% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) |
Compiled 1 296 to 800 computations (38.3% saved)
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (-.f64 eps #s(literal -1 binary64)) eps) | |
| cost-diff | 0 | #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (-.f64 eps #s(literal -1 binary64)) eps)) | |
| cost-diff | 0 | (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (-.f64 eps #s(literal -1 binary64)) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) | |
| cost-diff | 0 | (/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (-.f64 eps #s(literal -1 binary64)) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal 2 binary64)) | |
| cost-diff | 1 | (*.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (/.f64 (-.f64 eps #s(literal 1 binary64)) eps)) | |
| cost-diff | 2 | (-.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (-.f64 eps #s(literal 1 binary64))) | |
| cost-diff | 3 | (-.f64 (*.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (/.f64 (-.f64 eps #s(literal 1 binary64)) eps)) (*.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64)))) | |
| cost-diff | 14 | (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (/.f64 (-.f64 eps #s(literal 1 binary64)) eps)) (*.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64)))) (-.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (-.f64 eps #s(literal 1 binary64)))) | |
| cost-diff | 0 | (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) #s(approx (* (- eps 1) (+ (/ 1 eps) 1)) (-.f64 eps (/.f64 #s(literal 1 binary64) eps)))) | |
| cost-diff | 0 | (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) #s(approx (* (- eps 1) (+ (/ 1 eps) 1)) (-.f64 eps (/.f64 #s(literal 1 binary64) eps)))) x #s(literal 2 binary64)) | |
| cost-diff | 0 | #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) #s(approx (* (- eps 1) (+ (/ 1 eps) 1)) (-.f64 eps (/.f64 #s(literal 1 binary64) eps)))) x #s(literal 2 binary64))) | |
| cost-diff | 0 | (/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) #s(approx (* (- eps 1) (+ (/ 1 eps) 1)) (-.f64 eps (/.f64 #s(literal 1 binary64) eps)))) x #s(literal 2 binary64))) #s(literal 2 binary64)) | |
| cost-diff | 0 | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) | |
| cost-diff | 0 | (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))))) | |
| cost-diff | 0 | (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))))) #s(literal 2 binary64)) | |
| cost-diff | 1 | (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 65 | 860 |
| 0 | 107 | 860 |
| 1 | 210 | 838 |
| 2 | 579 | 721 |
| 3 | 2263 | 718 |
| 0 | 8412 | 718 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))))) #s(literal 2 binary64)) |
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) eps) |
eps |
(exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))) |
(neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)) |
(*.f64 (-.f64 #s(literal 1 binary64) eps) x) |
(-.f64 #s(literal 1 binary64) eps) |
x |
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))) |
(neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))) |
(exp.f64 (neg.f64 (fma.f64 x eps x))) |
(neg.f64 (fma.f64 x eps x)) |
(fma.f64 x eps x) |
#s(literal 2 binary64) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) #s(approx (* (- eps 1) (+ (/ 1 eps) 1)) (-.f64 eps (/.f64 #s(literal 1 binary64) eps)))) x #s(literal 2 binary64))) #s(literal 2 binary64)) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) #s(approx (* (- eps 1) (+ (/ 1 eps) 1)) (-.f64 eps (/.f64 #s(literal 1 binary64) eps)))) x #s(literal 2 binary64))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) #s(approx (* (- eps 1) (+ (/ 1 eps) 1)) (-.f64 eps (/.f64 #s(literal 1 binary64) eps)))) x #s(literal 2 binary64)) |
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) #s(approx (* (- eps 1) (+ (/ 1 eps) 1)) (-.f64 eps (/.f64 #s(literal 1 binary64) eps)))) |
(-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) eps) |
#s(literal 1 binary64) |
eps |
(+.f64 #s(literal 1 binary64) eps) |
#s(approx (* (- eps 1) (+ (/ 1 eps) 1)) (-.f64 eps (/.f64 #s(literal 1 binary64) eps))) |
(-.f64 eps (/.f64 #s(literal 1 binary64) eps)) |
x |
#s(literal 2 binary64) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (/.f64 (-.f64 eps #s(literal 1 binary64)) eps)) (*.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64)))) (-.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (-.f64 eps #s(literal 1 binary64))))) x #s(literal 2 binary64))) #s(literal 2 binary64)) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (/.f64 (-.f64 eps #s(literal 1 binary64)) eps)) (*.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64)))) (-.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (-.f64 eps #s(literal 1 binary64))))) x #s(literal 2 binary64))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (/.f64 (-.f64 eps #s(literal 1 binary64)) eps)) (*.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64)))) (-.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (-.f64 eps #s(literal 1 binary64))))) x #s(literal 2 binary64)) |
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (/.f64 (-.f64 eps #s(literal 1 binary64)) eps)) (*.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64)))) (-.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (-.f64 eps #s(literal 1 binary64))))) |
(-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) eps) |
#s(literal 1 binary64) |
eps |
(+.f64 #s(literal 1 binary64) eps) |
(/.f64 (-.f64 (*.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (/.f64 (-.f64 eps #s(literal 1 binary64)) eps)) (*.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64)))) (-.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (-.f64 eps #s(literal 1 binary64)))) |
(-.f64 (*.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (/.f64 (-.f64 eps #s(literal 1 binary64)) eps)) (*.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64)))) |
(*.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (/.f64 (-.f64 eps #s(literal 1 binary64)) eps)) |
(/.f64 (-.f64 eps #s(literal 1 binary64)) eps) |
(-.f64 eps #s(literal 1 binary64)) |
(*.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64))) |
(-.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (-.f64 eps #s(literal 1 binary64))) |
x |
#s(literal 2 binary64) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (-.f64 eps #s(literal -1 binary64)) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal 2 binary64)) |
(-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (-.f64 eps #s(literal -1 binary64)) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) |
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (-.f64 eps #s(literal -1 binary64)) eps)) |
(/.f64 (-.f64 eps #s(literal -1 binary64)) eps) |
(-.f64 eps #s(literal -1 binary64)) |
eps |
#s(literal -1 binary64) |
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))) |
(/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))) |
(exp.f64 (fma.f64 x eps x)) |
(fma.f64 x eps x) |
x |
#s(literal 2 binary64) |
| Outputs |
|---|
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal -1 binary64) eps)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal 2 binary64)) |
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))))) |
(-.f64 (*.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal -1 binary64) eps)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) |
(*.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal -1 binary64) eps)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) |
(-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) eps) |
eps |
(exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))) |
(pow.f64 (exp.f64 x) (+.f64 #s(literal -1 binary64) eps)) |
(neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)) |
(*.f64 (+.f64 #s(literal -1 binary64) eps) x) |
(*.f64 (-.f64 #s(literal 1 binary64) eps) x) |
(*.f64 x (-.f64 #s(literal 1 binary64) eps)) |
(-.f64 #s(literal 1 binary64) eps) |
x |
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))) |
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))) |
(neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))) |
(/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))) |
(exp.f64 (neg.f64 (fma.f64 x eps x))) |
(neg.f64 (fma.f64 x eps x)) |
(fma.f64 x eps x) |
#s(literal 2 binary64) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) #s(approx (* (- eps 1) (+ (/ 1 eps) 1)) (-.f64 eps (/.f64 #s(literal 1 binary64) eps)))) x #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (* (- eps 1) (+ (/ 1 eps) 1)) (-.f64 eps (/.f64 #s(literal 1 binary64) eps)))) x #s(literal 2 binary64))) #s(literal 2 binary64)) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) #s(approx (* (- eps 1) (+ (/ 1 eps) 1)) (-.f64 eps (/.f64 #s(literal 1 binary64) eps)))) x #s(literal 2 binary64))) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (* (- eps 1) (+ (/ 1 eps) 1)) (-.f64 eps (/.f64 #s(literal 1 binary64) eps)))) x #s(literal 2 binary64))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) #s(approx (* (- eps 1) (+ (/ 1 eps) 1)) (-.f64 eps (/.f64 #s(literal 1 binary64) eps)))) x #s(literal 2 binary64)) |
(fma.f64 (fma.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (* (- eps 1) (+ (/ 1 eps) 1)) (-.f64 eps (/.f64 #s(literal 1 binary64) eps)))) x #s(literal 2 binary64)) |
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) #s(approx (* (- eps 1) (+ (/ 1 eps) 1)) (-.f64 eps (/.f64 #s(literal 1 binary64) eps)))) |
(fma.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (* (- eps 1) (+ (/ 1 eps) 1)) (-.f64 eps (/.f64 #s(literal 1 binary64) eps)))) |
(-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) eps) |
#s(literal 1 binary64) |
eps |
(+.f64 #s(literal 1 binary64) eps) |
(-.f64 eps #s(literal -1 binary64)) |
#s(approx (* (- eps 1) (+ (/ 1 eps) 1)) (-.f64 eps (/.f64 #s(literal 1 binary64) eps))) |
(-.f64 eps (/.f64 #s(literal 1 binary64) eps)) |
x |
#s(literal 2 binary64) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (/.f64 (-.f64 eps #s(literal 1 binary64)) eps)) (*.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64)))) (-.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (-.f64 eps #s(literal 1 binary64))))) x #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (-.f64 (fma.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) eps) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 eps #s(literal 1 binary64)) eps))) x #s(literal 2 binary64))) #s(literal 2 binary64)) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (/.f64 (-.f64 eps #s(literal 1 binary64)) eps)) (*.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64)))) (-.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (-.f64 eps #s(literal 1 binary64))))) x #s(literal 2 binary64))) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (-.f64 (fma.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) eps) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 eps #s(literal 1 binary64)) eps))) x #s(literal 2 binary64))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (/.f64 (-.f64 eps #s(literal 1 binary64)) eps)) (*.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64)))) (-.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (-.f64 eps #s(literal 1 binary64))))) x #s(literal 2 binary64)) |
(fma.f64 (-.f64 (fma.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) eps) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 eps #s(literal 1 binary64)) eps))) x #s(literal 2 binary64)) |
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (/.f64 (-.f64 eps #s(literal 1 binary64)) eps)) (*.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64)))) (-.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (-.f64 eps #s(literal 1 binary64))))) |
(-.f64 (fma.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) eps) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 eps #s(literal 1 binary64)) eps))) |
(-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) eps) |
#s(literal 1 binary64) |
eps |
(+.f64 #s(literal 1 binary64) eps) |
(-.f64 eps #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (/.f64 (-.f64 eps #s(literal 1 binary64)) eps)) (*.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64)))) (-.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (-.f64 eps #s(literal 1 binary64)))) |
(*.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))) |
(-.f64 (*.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (/.f64 (-.f64 eps #s(literal 1 binary64)) eps)) (*.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64)))) |
(*.f64 (-.f64 eps #s(literal 1 binary64)) (*.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) eps) eps)))) |
(*.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (/.f64 (-.f64 eps #s(literal 1 binary64)) eps)) |
(/.f64 (neg.f64 (-.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) eps)) eps) |
(/.f64 (-.f64 eps #s(literal 1 binary64)) eps) |
(-.f64 eps #s(literal 1 binary64)) |
(*.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64))) |
(*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1 binary64) eps)) |
(-.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (-.f64 eps #s(literal 1 binary64))) |
(-.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) eps) |
x |
#s(literal 2 binary64) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (-.f64 eps #s(literal -1 binary64)) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal 2 binary64)) |
(-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (-.f64 eps #s(literal -1 binary64)) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) |
(-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) |
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (-.f64 eps #s(literal -1 binary64)) eps)) |
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))) |
(/.f64 (-.f64 eps #s(literal -1 binary64)) eps) |
(-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) |
(-.f64 eps #s(literal -1 binary64)) |
eps |
#s(literal -1 binary64) |
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))) |
(/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))) |
(exp.f64 (fma.f64 x eps x)) |
(fma.f64 x eps x) |
x |
#s(literal 2 binary64) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0078125 | (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))) | |
| accuracy | 18.56253098046301 | #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (-.f64 eps #s(literal -1 binary64)) eps)) | |
| accuracy | 18.648437500000004 | (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (-.f64 eps #s(literal -1 binary64)) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) | |
| accuracy | 20.19179122019905 | #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))) | |
| accuracy | 0.10546875 | (*.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (/.f64 (-.f64 eps #s(literal 1 binary64)) eps)) | |
| accuracy | 2.17750285165106 | (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (/.f64 (-.f64 eps #s(literal 1 binary64)) eps)) (*.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64)))) (-.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (-.f64 eps #s(literal 1 binary64))))) | |
| accuracy | 18.0680165715364 | #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (/.f64 (-.f64 eps #s(literal 1 binary64)) eps)) (*.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64)))) (-.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (-.f64 eps #s(literal 1 binary64))))) x #s(literal 2 binary64))) | |
| accuracy | 23.857458927903135 | (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (/.f64 (-.f64 eps #s(literal 1 binary64)) eps)) (*.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64)))) (-.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (-.f64 eps #s(literal 1 binary64)))) | |
| accuracy | 0.0 | (+.f64 #s(literal 1 binary64) eps) | |
| accuracy | 0.0 | #s(approx (* (- eps 1) (+ (/ 1 eps) 1)) (-.f64 eps (/.f64 #s(literal 1 binary64) eps))) | |
| accuracy | 2.17750285165106 | (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) #s(approx (* (- eps 1) (+ (/ 1 eps) 1)) (-.f64 eps (/.f64 #s(literal 1 binary64) eps)))) | |
| accuracy | 18.0680165715364 | #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) #s(approx (* (- eps 1) (+ (/ 1 eps) 1)) (-.f64 eps (/.f64 #s(literal 1 binary64) eps)))) x #s(literal 2 binary64))) | |
| accuracy | 18.06814871874777 | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) | |
| accuracy | 0.0 | (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))) | |
| accuracy | 0.0078125 | (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) | |
| accuracy | 18.648437500000004 | (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))))) | |
| accuracy | 20.19179122019905 | #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))) |
| 156.0ms | 88× | 2 | valid |
| 143.0ms | 111× | 1 | valid |
| 18.0ms | 57× | 0 | exit |
Compiled 649 to 48 computations (92.6% saved)
adjust: 123.0ms (45% of total)ival-sub: 54.0ms (19.8% of total)ival-mult: 32.0ms (11.7% of total)ival-div: 20.0ms (7.3% of total)ival-add: 20.0ms (7.3% of total)ival-exp: 16.0ms (5.9% of total)ival-neg: 7.0ms (2.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))))) #s(literal 2 binary64)) |
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) #s(approx (* (- eps 1) (+ (/ 1 eps) 1)) (-.f64 eps (/.f64 #s(literal 1 binary64) eps)))) x #s(literal 2 binary64))) #s(literal 2 binary64)) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) #s(approx (* (- eps 1) (+ (/ 1 eps) 1)) (-.f64 eps (/.f64 #s(literal 1 binary64) eps)))) x #s(literal 2 binary64))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) #s(approx (* (- eps 1) (+ (/ 1 eps) 1)) (-.f64 eps (/.f64 #s(literal 1 binary64) eps)))) x #s(literal 2 binary64)) |
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) #s(approx (* (- eps 1) (+ (/ 1 eps) 1)) (-.f64 eps (/.f64 #s(literal 1 binary64) eps)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (/.f64 (-.f64 eps #s(literal 1 binary64)) eps)) (*.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64)))) (-.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (-.f64 eps #s(literal 1 binary64)))) |
(-.f64 (*.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (/.f64 (-.f64 eps #s(literal 1 binary64)) eps)) (*.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64)))) |
(-.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (-.f64 eps #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (/.f64 (-.f64 eps #s(literal 1 binary64)) eps)) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (-.f64 eps #s(literal -1 binary64)) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal 2 binary64)) |
(-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (-.f64 eps #s(literal -1 binary64)) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) |
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (-.f64 eps #s(literal -1 binary64)) eps)) |
(/.f64 (-.f64 eps #s(literal -1 binary64)) eps) |
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))) |
(exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))) |
#s(approx (* (- eps 1) (+ (/ 1 eps) 1)) (-.f64 eps (/.f64 #s(literal 1 binary64) eps))) |
(+.f64 #s(literal 1 binary64) eps) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (/.f64 (-.f64 eps #s(literal 1 binary64)) eps)) (*.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64)))) (-.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (-.f64 eps #s(literal 1 binary64))))) x #s(literal 2 binary64))) |
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (/.f64 (-.f64 eps #s(literal 1 binary64)) eps)) (*.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64)))) (-.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (-.f64 eps #s(literal 1 binary64))))) |
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))) |
(/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))) |
| Outputs |
|---|
(* x (- eps 1)) |
1 |
(+ 1 (* 1/2 (* x (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))) |
(+ 1 (* x (+ (* 1/2 (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) (* 1/2 (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1)))))))) |
(+ 1 (* x (+ (* 1/2 (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))) (* x (+ (* 1/2 (* x (- (* 1/6 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3))) (* -1/6 (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))))) (* 1/2 (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))))))) |
2 |
(+ 2 (* x (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1)))))) |
(+ 2 (* x (- (+ (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))) (* (+ 1 (/ 1 eps)) (- eps 1))) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1)))))) |
(+ 2 (* x (- (+ (* x (- (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* x (- (* 1/6 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3))) (* -1/6 (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))) (* (+ 1 (/ 1 eps)) (- eps 1))) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1)))))) |
(+ 1 (/ 1 eps)) |
(+ 1 (+ (* x (* (+ 1 (/ 1 eps)) (- eps 1))) (/ 1 eps))) |
(+ 1 (+ (* x (+ (* 1/2 (* x (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2)))) (* (+ 1 (/ 1 eps)) (- eps 1)))) (/ 1 eps))) |
(+ 1 (+ (* x (+ (* x (+ (* 1/6 (* x (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3)))) (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))))) (* (+ 1 (/ 1 eps)) (- eps 1)))) (/ 1 eps))) |
(+ 2 (* x (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1))))) |
(- (/ 1 eps) 1) |
(- (+ (* -1 (* x (* (+ 1 eps) (- (/ 1 eps) 1)))) (/ 1 eps)) 1) |
(- (+ (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (* 1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) (/ 1 eps)) 1) |
(- (+ (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (* x (+ (* -1/6 (* x (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))))) (/ 1 eps)) 1) |
(+ 1 (* x (- eps 1))) |
(+ 1 (* x (- (+ eps (* 1/2 (* x (pow (- eps 1) 2)))) 1))) |
(+ 1 (* x (- (+ eps (* x (+ (* 1/6 (* x (pow (- eps 1) 3))) (* 1/2 (pow (- eps 1) 2))))) 1))) |
-1 |
(- (* x (+ 1 eps)) 1) |
(- (* x (- (* -1 (* x (+ (* -1/2 (pow (+ 1 eps) 2)) (pow (+ 1 eps) 2)))) (* -1 (+ 1 eps)))) 1) |
(- (* x (- (* x (- (* -1 (* x (+ (* -1 (* (+ 1 eps) (+ (* -1/2 (pow (+ 1 eps) 2)) (pow (+ 1 eps) 2)))) (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/2 (pow (+ 1 eps) 3)))))) (+ (* -1/2 (pow (+ 1 eps) 2)) (pow (+ 1 eps) 2)))) (* -1 (+ 1 eps)))) 1) |
(* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1)))) |
(- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))) |
(* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) |
(* x (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1)))) |
(* x (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (+ (* (+ 1 (/ 1 eps)) (- eps 1)) (* 2 (/ 1 x))))) |
(* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1)) |
(exp (- (* eps x) x)) |
(/ -1 (exp (+ x (* eps x)))) |
(* -1 (* x (- 1 eps))) |
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))) |
(- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))) |
(* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) |
(* -1 (* x (- (* -1 (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1)))) (* 2 (/ 1 x))))) |
(* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)) |
(exp (neg (* x (- 1 eps)))) |
(/ -1 (exp (- (* eps x) (* -1 x)))) |
(* -1 x) |
(- (* eps x) x) |
(* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) |
(+ (* 1/2 (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x)))))))) (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))))) |
(+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x)))))))) (* 1/2 (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x)))))))))) |
(+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/5040 (* (pow x 7) (exp (neg x)))) (* 1/720 (* (pow x 6) (exp (neg x))))) (+ (* -1/720 (* (pow x 6) (exp (neg x)))) (* -1/5040 (* (pow x 7) (exp (neg x)))))))) (* 1/2 (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x)))))))))))) |
(- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))) |
(- (+ (exp (neg x)) (+ (* x (exp (neg x))) (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))) |
(- (+ (exp (neg x)) (+ (* x (exp (neg x))) (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* (pow eps 2) (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x))))))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))) |
(- (+ (exp (neg x)) (+ (* x (exp (neg x))) (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* (pow eps 2) (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (+ (* 1/24 (* (pow x 4) (exp (neg x)))) (* (pow eps 2) (- (+ (* 1/5040 (* (pow x 7) (exp (neg x)))) (* 1/720 (* (pow x 6) (exp (neg x))))) (+ (* -1/720 (* (pow x 6) (exp (neg x)))) (* -1/5040 (* (pow x 7) (exp (neg x))))))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x))))))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))) |
(/ (exp (neg x)) eps) |
(/ (+ (exp (neg x)) (* eps (+ (exp (neg x)) (* x (exp (neg x)))))) eps) |
(/ (+ (exp (neg x)) (* eps (+ (exp (neg x)) (+ (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* x (exp (neg x))))) (* x (exp (neg x))))))) eps) |
(/ (+ (exp (neg x)) (* eps (+ (exp (neg x)) (+ (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (+ (* eps (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x)))))) (* x (exp (neg x)))))) (* x (exp (neg x))))))) eps) |
0 |
(/ -1 eps) |
(/ (- (pow eps 2) 1) eps) |
(/ 1 (pow eps 2)) |
(/ (+ 1 (* -2 eps)) (pow eps 2)) |
(/ (+ 1 (* eps (- (* 2 (pow eps 2)) 2))) (pow eps 2)) |
(/ (+ 1 (* eps (- (* (pow eps 2) (+ 2 (* -1 eps))) 2))) (pow eps 2)) |
(/ (- (* 2 eps) 1) eps) |
(/ (- (* eps (+ 2 (* -1 eps))) 1) eps) |
(/ (+ 1 (* eps (- eps 2))) (pow eps 2)) |
(/ 1 eps) |
(/ (+ 1 eps) eps) |
(/ (+ (exp (neg x)) (* eps (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) eps) |
(/ (+ (exp (neg x)) (* eps (+ (* -1 (exp (neg x))) (+ (* -1 (* x (exp (neg x)))) (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* x (exp (neg x))))))))) eps) |
(/ (+ (exp (neg x)) (* eps (+ (* -1 (exp (neg x))) (+ (* -1 (* x (exp (neg x)))) (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (+ (* eps (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x)))))) (* x (exp (neg x)))))))))) eps) |
(exp (neg x)) |
(+ (exp (neg x)) (* eps (* x (exp (neg x))))) |
(+ (exp (neg x)) (* eps (+ (* 1/2 (* eps (* (pow x 2) (exp (neg x))))) (* x (exp (neg x)))))) |
(+ (exp (neg x)) (* eps (+ (* eps (+ (* 1/6 (* eps (* (pow x 3) (exp (neg x))))) (* 1/2 (* (pow x 2) (exp (neg x)))))) (* x (exp (neg x)))))) |
(+ 1 eps) |
(/ -1 (exp x)) |
(- (/ (* eps x) (exp x)) (/ 1 (exp x))) |
(- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (pow x 2) (exp x))) (/ (pow x 2) (exp x))))) (* -1 (/ x (exp x))))) (/ 1 (exp x))) |
(- (* eps (- (* eps (- (* -1 (* eps (+ (* -1 (* x (+ (* -1/2 (/ (pow x 2) (exp x))) (/ (pow x 2) (exp x))))) (+ (* -1/6 (/ (pow x 3) (exp x))) (* 1/2 (/ (pow x 3) (exp x))))))) (+ (* -1/2 (/ (pow x 2) (exp x))) (/ (pow x 2) (exp x))))) (* -1 (/ x (exp x))))) (/ 1 (exp x))) |
(* eps x) |
(* eps (- (* -1 (/ x eps)) (* -1 x))) |
(* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) |
(+ (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (* 1/2 (/ (- (exp (neg (* x (- 1 eps)))) (exp (neg (* x (+ 1 eps))))) eps))) |
(- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps)))))) |
(- (+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps)) (+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps))) |
(+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps)) |
eps |
(* eps (- 1 (/ 1 (pow eps 2)))) |
(* -1 (pow eps 2)) |
(* (pow eps 2) (- (* 2 (/ 1 eps)) 1)) |
(* (pow eps 2) (- (* 2 (/ 1 eps)) (+ 1 (/ 2 (pow eps 3))))) |
(* (pow eps 2) (- (+ (* 2 (/ 1 eps)) (/ 1 (pow eps 4))) (+ 1 (/ 2 (pow eps 3))))) |
(* -1 eps) |
(* eps (- (* 2 (/ 1 eps)) 1)) |
(* eps (- (* 2 (/ 1 eps)) (+ 1 (/ 1 (pow eps 2))))) |
(- 1 (* 2 (/ 1 eps))) |
(- (+ 1 (/ 1 (pow eps 2))) (* 2 (/ 1 eps))) |
(* -1 (exp (neg (* x (+ 1 eps))))) |
(+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps)) |
(* eps (+ 1 (/ 1 eps))) |
(* -1 (* eps (- (/ x eps) x))) |
(* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))) |
(+ (* -1/2 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps)) (* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))))) |
(- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) |
(- (+ (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) |
(exp (neg (* x (+ 1 (* -1 eps))))) |
(+ (exp (neg (* x (+ 1 (* -1 eps))))) (/ (exp (neg (* x (+ 1 (* -1 eps))))) eps)) |
(* -1 (* eps (- (/ 1 (pow eps 2)) 1))) |
(* (pow eps 2) (- (* -1 (/ (- (* 2 (/ 1 (pow eps 2))) 2) eps)) 1)) |
(* (pow eps 2) (- (* -1 (/ (- (* 2 (/ 1 (pow eps 2))) (+ 2 (/ 1 (pow eps 3)))) eps)) 1)) |
(* -1 (* eps (- 1 (* 2 (/ 1 eps))))) |
(* -1 (* eps (+ 1 (* -1 (/ (- 2 (/ 1 eps)) eps))))) |
(+ 1 (* -1 (/ (- 2 (/ 1 eps)) eps))) |
(* -1 (exp (neg (* x (- 1 (* -1 eps)))))) |
(+ (* -1 (exp (neg (* x (- 1 (* -1 eps)))))) (/ (exp (neg (* x (- 1 (* -1 eps))))) eps)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 25.0ms | x | @ | inf | ((neg (* (- 1 eps) x)) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (+ (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (* (- eps 1) (+ (/ 1 eps) 1))) x) 2) (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (* (- eps 1) (+ (/ 1 eps) 1))) (/ (- (* (/ (- eps 1) eps) (/ (- eps 1) eps)) (* (- eps 1) (- eps 1))) (- (/ (- eps 1) eps) (- eps 1))) (- (* (/ (- eps 1) eps) (/ (- eps 1) eps)) (* (- eps 1) (- eps 1))) (- (/ (- eps 1) eps) (- eps 1)) (* (/ (- eps 1) eps) (/ (- eps 1) eps)) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/ (- eps -1) eps) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (exp (neg (* (- 1 eps) x))) (* (- eps 1) (+ (/ 1 eps) 1)) (+ 1 eps) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (/ (- (* (/ (- eps 1) eps) (/ (- eps 1) eps)) (* (- eps 1) (- eps 1))) (- (/ (- eps 1) eps) (- eps 1)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/ -1 (exp (+ (* x eps) x)))) |
| 5.0ms | eps | @ | -inf | ((neg (* (- 1 eps) x)) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (+ (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (* (- eps 1) (+ (/ 1 eps) 1))) x) 2) (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (* (- eps 1) (+ (/ 1 eps) 1))) (/ (- (* (/ (- eps 1) eps) (/ (- eps 1) eps)) (* (- eps 1) (- eps 1))) (- (/ (- eps 1) eps) (- eps 1))) (- (* (/ (- eps 1) eps) (/ (- eps 1) eps)) (* (- eps 1) (- eps 1))) (- (/ (- eps 1) eps) (- eps 1)) (* (/ (- eps 1) eps) (/ (- eps 1) eps)) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/ (- eps -1) eps) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (exp (neg (* (- 1 eps) x))) (* (- eps 1) (+ (/ 1 eps) 1)) (+ 1 eps) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (/ (- (* (/ (- eps 1) eps) (/ (- eps 1) eps)) (* (- eps 1) (- eps 1))) (- (/ (- eps 1) eps) (- eps 1)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/ -1 (exp (+ (* x eps) x)))) |
| 5.0ms | eps | @ | 0 | ((neg (* (- 1 eps) x)) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (+ (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (* (- eps 1) (+ (/ 1 eps) 1))) x) 2) (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (* (- eps 1) (+ (/ 1 eps) 1))) (/ (- (* (/ (- eps 1) eps) (/ (- eps 1) eps)) (* (- eps 1) (- eps 1))) (- (/ (- eps 1) eps) (- eps 1))) (- (* (/ (- eps 1) eps) (/ (- eps 1) eps)) (* (- eps 1) (- eps 1))) (- (/ (- eps 1) eps) (- eps 1)) (* (/ (- eps 1) eps) (/ (- eps 1) eps)) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/ (- eps -1) eps) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (exp (neg (* (- 1 eps) x))) (* (- eps 1) (+ (/ 1 eps) 1)) (+ 1 eps) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (/ (- (* (/ (- eps 1) eps) (/ (- eps 1) eps)) (* (- eps 1) (- eps 1))) (- (/ (- eps 1) eps) (- eps 1)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/ -1 (exp (+ (* x eps) x)))) |
| 4.0ms | eps | @ | inf | ((neg (* (- 1 eps) x)) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (+ (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (* (- eps 1) (+ (/ 1 eps) 1))) x) 2) (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (* (- eps 1) (+ (/ 1 eps) 1))) (/ (- (* (/ (- eps 1) eps) (/ (- eps 1) eps)) (* (- eps 1) (- eps 1))) (- (/ (- eps 1) eps) (- eps 1))) (- (* (/ (- eps 1) eps) (/ (- eps 1) eps)) (* (- eps 1) (- eps 1))) (- (/ (- eps 1) eps) (- eps 1)) (* (/ (- eps 1) eps) (/ (- eps 1) eps)) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/ (- eps -1) eps) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (exp (neg (* (- 1 eps) x))) (* (- eps 1) (+ (/ 1 eps) 1)) (+ 1 eps) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (/ (- (* (/ (- eps 1) eps) (/ (- eps 1) eps)) (* (- eps 1) (- eps 1))) (- (/ (- eps 1) eps) (- eps 1)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/ -1 (exp (+ (* x eps) x)))) |
| 2.0ms | x | @ | -inf | ((neg (* (- 1 eps) x)) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (+ (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (* (- eps 1) (+ (/ 1 eps) 1))) x) 2) (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (* (- eps 1) (+ (/ 1 eps) 1))) (/ (- (* (/ (- eps 1) eps) (/ (- eps 1) eps)) (* (- eps 1) (- eps 1))) (- (/ (- eps 1) eps) (- eps 1))) (- (* (/ (- eps 1) eps) (/ (- eps 1) eps)) (* (- eps 1) (- eps 1))) (- (/ (- eps 1) eps) (- eps 1)) (* (/ (- eps 1) eps) (/ (- eps 1) eps)) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/ (- eps -1) eps) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (exp (neg (* (- 1 eps) x))) (* (- eps 1) (+ (/ 1 eps) 1)) (+ 1 eps) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (/ (- (* (/ (- eps 1) eps) (/ (- eps 1) eps)) (* (- eps 1) (- eps 1))) (- (/ (- eps 1) eps) (- eps 1)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/ -1 (exp (+ (* x eps) x)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 470 | 2617 |
| 1 | 1600 | 2350 |
| 2 | 7803 | 2350 |
| 0 | 8002 | 2220 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (- eps 1)) |
1 |
(+ 1 (* 1/2 (* x (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))) |
(+ 1 (* x (+ (* 1/2 (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) (* 1/2 (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1)))))))) |
(+ 1 (* x (+ (* 1/2 (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))) (* x (+ (* 1/2 (* x (- (* 1/6 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3))) (* -1/6 (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))))) (* 1/2 (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))))))) |
2 |
(+ 2 (* x (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1)))))) |
(+ 2 (* x (- (+ (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))) (* (+ 1 (/ 1 eps)) (- eps 1))) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1)))))) |
(+ 2 (* x (- (+ (* x (- (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* x (- (* 1/6 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3))) (* -1/6 (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))) (* (+ 1 (/ 1 eps)) (- eps 1))) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1)))))) |
(+ 1 (/ 1 eps)) |
(+ 1 (+ (* x (* (+ 1 (/ 1 eps)) (- eps 1))) (/ 1 eps))) |
(+ 1 (+ (* x (+ (* 1/2 (* x (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2)))) (* (+ 1 (/ 1 eps)) (- eps 1)))) (/ 1 eps))) |
(+ 1 (+ (* x (+ (* x (+ (* 1/6 (* x (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3)))) (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))))) (* (+ 1 (/ 1 eps)) (- eps 1)))) (/ 1 eps))) |
(+ 2 (* x (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1))))) |
(- (/ 1 eps) 1) |
(- (+ (* -1 (* x (* (+ 1 eps) (- (/ 1 eps) 1)))) (/ 1 eps)) 1) |
(- (+ (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (* 1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) (/ 1 eps)) 1) |
(- (+ (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (* x (+ (* -1/6 (* x (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))))) (/ 1 eps)) 1) |
(+ 1 (* x (- eps 1))) |
(+ 1 (* x (- (+ eps (* 1/2 (* x (pow (- eps 1) 2)))) 1))) |
(+ 1 (* x (- (+ eps (* x (+ (* 1/6 (* x (pow (- eps 1) 3))) (* 1/2 (pow (- eps 1) 2))))) 1))) |
-1 |
(- (* x (+ 1 eps)) 1) |
(- (* x (- (* -1 (* x (+ (* -1/2 (pow (+ 1 eps) 2)) (pow (+ 1 eps) 2)))) (* -1 (+ 1 eps)))) 1) |
(- (* x (- (* x (- (* -1 (* x (+ (* -1 (* (+ 1 eps) (+ (* -1/2 (pow (+ 1 eps) 2)) (pow (+ 1 eps) 2)))) (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/2 (pow (+ 1 eps) 3)))))) (+ (* -1/2 (pow (+ 1 eps) 2)) (pow (+ 1 eps) 2)))) (* -1 (+ 1 eps)))) 1) |
(* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1)))) |
(- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))) |
(* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) |
(* x (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1)))) |
(* x (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (+ (* (+ 1 (/ 1 eps)) (- eps 1)) (* 2 (/ 1 x))))) |
(* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1)) |
(exp (- (* eps x) x)) |
(/ -1 (exp (+ x (* eps x)))) |
(* -1 (* x (- 1 eps))) |
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))) |
(- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))) |
(* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) |
(* -1 (* x (- (* -1 (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1)))) (* 2 (/ 1 x))))) |
(* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)) |
(exp (neg (* x (- 1 eps)))) |
(/ -1 (exp (- (* eps x) (* -1 x)))) |
(* -1 x) |
(- (* eps x) x) |
(* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) |
(+ (* 1/2 (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x)))))))) (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))))) |
(+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x)))))))) (* 1/2 (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x)))))))))) |
(+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/5040 (* (pow x 7) (exp (neg x)))) (* 1/720 (* (pow x 6) (exp (neg x))))) (+ (* -1/720 (* (pow x 6) (exp (neg x)))) (* -1/5040 (* (pow x 7) (exp (neg x)))))))) (* 1/2 (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x)))))))))))) |
(- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))) |
(- (+ (exp (neg x)) (+ (* x (exp (neg x))) (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))) |
(- (+ (exp (neg x)) (+ (* x (exp (neg x))) (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* (pow eps 2) (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x))))))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))) |
(- (+ (exp (neg x)) (+ (* x (exp (neg x))) (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* (pow eps 2) (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (+ (* 1/24 (* (pow x 4) (exp (neg x)))) (* (pow eps 2) (- (+ (* 1/5040 (* (pow x 7) (exp (neg x)))) (* 1/720 (* (pow x 6) (exp (neg x))))) (+ (* -1/720 (* (pow x 6) (exp (neg x)))) (* -1/5040 (* (pow x 7) (exp (neg x))))))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x))))))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))) |
(/ (exp (neg x)) eps) |
(/ (+ (exp (neg x)) (* eps (+ (exp (neg x)) (* x (exp (neg x)))))) eps) |
(/ (+ (exp (neg x)) (* eps (+ (exp (neg x)) (+ (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* x (exp (neg x))))) (* x (exp (neg x))))))) eps) |
(/ (+ (exp (neg x)) (* eps (+ (exp (neg x)) (+ (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (+ (* eps (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x)))))) (* x (exp (neg x)))))) (* x (exp (neg x))))))) eps) |
0 |
(/ -1 eps) |
(/ (- (pow eps 2) 1) eps) |
(/ 1 (pow eps 2)) |
(/ (+ 1 (* -2 eps)) (pow eps 2)) |
(/ (+ 1 (* eps (- (* 2 (pow eps 2)) 2))) (pow eps 2)) |
(/ (+ 1 (* eps (- (* (pow eps 2) (+ 2 (* -1 eps))) 2))) (pow eps 2)) |
(/ (- (* 2 eps) 1) eps) |
(/ (- (* eps (+ 2 (* -1 eps))) 1) eps) |
(/ (+ 1 (* eps (- eps 2))) (pow eps 2)) |
(/ 1 eps) |
(/ (+ 1 eps) eps) |
(/ (+ (exp (neg x)) (* eps (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) eps) |
(/ (+ (exp (neg x)) (* eps (+ (* -1 (exp (neg x))) (+ (* -1 (* x (exp (neg x)))) (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* x (exp (neg x))))))))) eps) |
(/ (+ (exp (neg x)) (* eps (+ (* -1 (exp (neg x))) (+ (* -1 (* x (exp (neg x)))) (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (+ (* eps (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x)))))) (* x (exp (neg x)))))))))) eps) |
(exp (neg x)) |
(+ (exp (neg x)) (* eps (* x (exp (neg x))))) |
(+ (exp (neg x)) (* eps (+ (* 1/2 (* eps (* (pow x 2) (exp (neg x))))) (* x (exp (neg x)))))) |
(+ (exp (neg x)) (* eps (+ (* eps (+ (* 1/6 (* eps (* (pow x 3) (exp (neg x))))) (* 1/2 (* (pow x 2) (exp (neg x)))))) (* x (exp (neg x)))))) |
(+ 1 eps) |
(/ -1 (exp x)) |
(- (/ (* eps x) (exp x)) (/ 1 (exp x))) |
(- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (pow x 2) (exp x))) (/ (pow x 2) (exp x))))) (* -1 (/ x (exp x))))) (/ 1 (exp x))) |
(- (* eps (- (* eps (- (* -1 (* eps (+ (* -1 (* x (+ (* -1/2 (/ (pow x 2) (exp x))) (/ (pow x 2) (exp x))))) (+ (* -1/6 (/ (pow x 3) (exp x))) (* 1/2 (/ (pow x 3) (exp x))))))) (+ (* -1/2 (/ (pow x 2) (exp x))) (/ (pow x 2) (exp x))))) (* -1 (/ x (exp x))))) (/ 1 (exp x))) |
(* eps x) |
(* eps (- (* -1 (/ x eps)) (* -1 x))) |
(* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) |
(+ (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (* 1/2 (/ (- (exp (neg (* x (- 1 eps)))) (exp (neg (* x (+ 1 eps))))) eps))) |
(- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps)))))) |
(- (+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps)) (+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps))) |
(+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps)) |
eps |
(* eps (- 1 (/ 1 (pow eps 2)))) |
(* -1 (pow eps 2)) |
(* (pow eps 2) (- (* 2 (/ 1 eps)) 1)) |
(* (pow eps 2) (- (* 2 (/ 1 eps)) (+ 1 (/ 2 (pow eps 3))))) |
(* (pow eps 2) (- (+ (* 2 (/ 1 eps)) (/ 1 (pow eps 4))) (+ 1 (/ 2 (pow eps 3))))) |
(* -1 eps) |
(* eps (- (* 2 (/ 1 eps)) 1)) |
(* eps (- (* 2 (/ 1 eps)) (+ 1 (/ 1 (pow eps 2))))) |
(- 1 (* 2 (/ 1 eps))) |
(- (+ 1 (/ 1 (pow eps 2))) (* 2 (/ 1 eps))) |
(* -1 (exp (neg (* x (+ 1 eps))))) |
(+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps)) |
(* eps (+ 1 (/ 1 eps))) |
(* -1 (* eps (- (/ x eps) x))) |
(* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))) |
(+ (* -1/2 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps)) (* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))))) |
(- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) |
(- (+ (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) |
(exp (neg (* x (+ 1 (* -1 eps))))) |
(+ (exp (neg (* x (+ 1 (* -1 eps))))) (/ (exp (neg (* x (+ 1 (* -1 eps))))) eps)) |
(* -1 (* eps (- (/ 1 (pow eps 2)) 1))) |
(* (pow eps 2) (- (* -1 (/ (- (* 2 (/ 1 (pow eps 2))) 2) eps)) 1)) |
(* (pow eps 2) (- (* -1 (/ (- (* 2 (/ 1 (pow eps 2))) (+ 2 (/ 1 (pow eps 3)))) eps)) 1)) |
(* -1 (* eps (- 1 (* 2 (/ 1 eps))))) |
(* -1 (* eps (+ 1 (* -1 (/ (- 2 (/ 1 eps)) eps))))) |
(+ 1 (* -1 (/ (- 2 (/ 1 eps)) eps))) |
(* -1 (exp (neg (* x (- 1 (* -1 eps)))))) |
(+ (* -1 (exp (neg (* x (- 1 (* -1 eps)))))) (/ (exp (neg (* x (- 1 (* -1 eps))))) eps)) |
| Outputs |
|---|
(* x (- eps 1)) |
(*.f64 (-.f64 eps #s(literal 1 binary64)) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (* x (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 (-.f64 eps #s(literal 1 binary64)) (/.f64 (-.f64 eps #s(literal -1 binary64)) eps) (*.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 1 binary64)) |
(+ 1 (* x (+ (* 1/2 (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) (* 1/2 (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1)))))))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (pow.f64 (-.f64 eps #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) eps) #s(literal 1/2 binary64)) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64)))) x (fma.f64 (-.f64 eps #s(literal 1 binary64)) (/.f64 (-.f64 eps #s(literal -1 binary64)) eps) (*.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))) #s(literal 1 binary64)) |
(+ 1 (* x (+ (* 1/2 (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))) (* x (+ (* 1/2 (* x (- (* 1/6 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3))) (* -1/6 (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))))) (* 1/2 (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 (-.f64 eps #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (fma.f64 (*.f64 #s(literal 1/6 binary64) (fma.f64 (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 3 binary64)) (/.f64 (-.f64 eps #s(literal -1 binary64)) eps) (*.f64 (pow.f64 (-.f64 eps #s(literal -1 binary64)) #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))) x (*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) eps) #s(literal 1/2 binary64)) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64))))) (*.f64 (fma.f64 (-.f64 eps #s(literal 1 binary64)) (/.f64 (-.f64 eps #s(literal -1 binary64)) eps) (*.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 1/2 binary64))) x #s(literal 1 binary64)) |
2 |
#s(literal 2 binary64) |
(+ 2 (* x (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1)))))) |
(fma.f64 (fma.f64 x eps x) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) eps) x x) (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64))) |
(+ 2 (* x (- (+ (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))) (* (+ 1 (/ 1 eps)) (- eps 1))) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1)))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (pow.f64 (-.f64 eps #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) eps) #s(literal 1/2 binary64)) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64)))) x (fma.f64 (-.f64 eps #s(literal 1 binary64)) (/.f64 (-.f64 eps #s(literal -1 binary64)) eps) (*.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))) x #s(literal 2 binary64)) |
(+ 2 (* x (- (+ (* x (- (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* x (- (* 1/6 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3))) (* -1/6 (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))) (* (+ 1 (/ 1 eps)) (- eps 1))) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 (-.f64 eps #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (fma.f64 (*.f64 #s(literal 1/6 binary64) (fma.f64 (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 3 binary64)) (/.f64 (-.f64 eps #s(literal -1 binary64)) eps) (*.f64 (pow.f64 (-.f64 eps #s(literal -1 binary64)) #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))) x (*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) eps) #s(literal 1/2 binary64)) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64))))) x (fma.f64 (-.f64 eps #s(literal 1 binary64)) (/.f64 (-.f64 eps #s(literal -1 binary64)) eps) (*.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))) x #s(literal 2 binary64)) |
(+ 1 (/ 1 eps)) |
(/.f64 (-.f64 eps #s(literal -1 binary64)) eps) |
(+ 1 (+ (* x (* (+ 1 (/ 1 eps)) (- eps 1))) (/ 1 eps))) |
(fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) eps) x x) (-.f64 eps #s(literal 1 binary64)) (/.f64 (-.f64 eps #s(literal -1 binary64)) eps)) |
(+ 1 (+ (* x (+ (* 1/2 (* x (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2)))) (* (+ 1 (/ 1 eps)) (- eps 1)))) (/ 1 eps))) |
(fma.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) eps) #s(literal 1/2 binary64))) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (-.f64 eps #s(literal 1 binary64)) (/.f64 (-.f64 eps #s(literal -1 binary64)) eps))) x (/.f64 (-.f64 eps #s(literal -1 binary64)) eps)) |
(+ 1 (+ (* x (+ (* x (+ (* 1/6 (* x (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3)))) (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))))) (* (+ 1 (/ 1 eps)) (- eps 1)))) (/ 1 eps))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) eps) x x)) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 3 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) eps) #s(literal 1/2 binary64)) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64)))) x (*.f64 (-.f64 eps #s(literal 1 binary64)) (/.f64 (-.f64 eps #s(literal -1 binary64)) eps))) x (/.f64 (-.f64 eps #s(literal -1 binary64)) eps)) |
(+ 2 (* x (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1))))) |
(fma.f64 (fma.f64 x eps x) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) eps) x x) (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64))) |
(- (/ 1 eps) 1) |
(-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) |
(- (+ (* -1 (* x (* (+ 1 eps) (- (/ 1 eps) 1)))) (/ 1 eps)) 1) |
(fma.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) |
(- (+ (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (* 1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) (/ 1 eps)) 1) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (pow.f64 (-.f64 eps #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) x (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) |
(- (+ (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (* x (+ (* -1/6 (* x (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))))) (/ 1 eps)) 1) |
(fma.f64 (fma.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 (-.f64 eps #s(literal -1 binary64)) #s(literal 3 binary64)) x)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (pow.f64 (-.f64 eps #s(literal -1 binary64)) #s(literal 2 binary64)))) x)) x (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) |
(+ 1 (* x (- eps 1))) |
(fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (- (+ eps (* 1/2 (* x (pow (- eps 1) 2)))) 1))) |
(fma.f64 (fma.f64 (*.f64 (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64)) x) #s(literal 1/2 binary64) (-.f64 eps #s(literal 1 binary64))) x #s(literal 1 binary64)) |
(+ 1 (* x (- (+ eps (* x (+ (* 1/6 (* x (pow (- eps 1) 3))) (* 1/2 (pow (- eps 1) 2))))) 1))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 3 binary64)) x) #s(literal 1/6 binary64) (*.f64 (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) x (-.f64 eps #s(literal 1 binary64))) x #s(literal 1 binary64)) |
-1 |
#s(literal -1 binary64) |
(- (* x (+ 1 eps)) 1) |
(-.f64 (fma.f64 x eps x) #s(literal 1 binary64)) |
(- (* x (- (* -1 (* x (+ (* -1/2 (pow (+ 1 eps) 2)) (pow (+ 1 eps) 2)))) (* -1 (+ 1 eps)))) 1) |
(-.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (-.f64 eps #s(literal -1 binary64)) #s(literal 2 binary64))) x (-.f64 eps #s(literal -1 binary64))) x) #s(literal 1 binary64)) |
(- (* x (- (* x (- (* -1 (* x (+ (* -1 (* (+ 1 eps) (+ (* -1/2 (pow (+ 1 eps) 2)) (pow (+ 1 eps) 2)))) (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/2 (pow (+ 1 eps) 3)))))) (+ (* -1/2 (pow (+ 1 eps) 2)) (pow (+ 1 eps) 2)))) (* -1 (+ 1 eps)))) 1) |
(-.f64 (*.f64 (fma.f64 (fma.f64 (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (-.f64 eps #s(literal -1 binary64)) #s(literal 3 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (-.f64 eps #s(literal -1 binary64)) #s(literal 3 binary64)))) (*.f64 #s(literal -1/2 binary64) (pow.f64 (-.f64 eps #s(literal -1 binary64)) #s(literal 2 binary64)))) x (-.f64 eps #s(literal -1 binary64))) x) #s(literal 1 binary64)) |
(* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1)))) |
(*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (*.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (/.f64 (-.f64 eps #s(literal -1 binary64)) eps))) #s(literal 1/2 binary64)) |
(- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (*.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (/.f64 (-.f64 eps #s(literal -1 binary64)) eps))) |
(* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) |
(*.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (/.f64 (-.f64 eps #s(literal -1 binary64)) eps)) |
(* x (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1)))) |
(*.f64 (fma.f64 (-.f64 eps #s(literal 1 binary64)) (/.f64 (-.f64 eps #s(literal -1 binary64)) eps) (*.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) x) |
(* x (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (+ (* (+ 1 (/ 1 eps)) (- eps 1)) (* 2 (/ 1 x))))) |
(*.f64 (fma.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (fma.f64 (-.f64 eps #s(literal 1 binary64)) (/.f64 (-.f64 eps #s(literal -1 binary64)) eps) (/.f64 #s(literal 2 binary64) x))) x) |
(* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1)) |
(*.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) |
(exp (- (* eps x) x)) |
(exp.f64 (-.f64 (*.f64 x eps) x)) |
(/ -1 (exp (+ x (* eps x)))) |
(/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))) |
(* -1 (* x (- 1 eps))) |
(*.f64 (+.f64 #s(literal -1 binary64) eps) x) |
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))) |
(*.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal -1 binary64) eps)) (/.f64 (-.f64 eps #s(literal -1 binary64)) eps)) (*.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 1/2 binary64)) |
(- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))) |
(-.f64 (*.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal -1 binary64) eps)) (/.f64 (-.f64 eps #s(literal -1 binary64)) eps)) (*.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) |
(* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) |
(*.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal -1 binary64) eps)) (/.f64 (-.f64 eps #s(literal -1 binary64)) eps)) |
(* -1 (* x (- (* -1 (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1)))) (* 2 (/ 1 x))))) |
(*.f64 (neg.f64 x) (fma.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (fma.f64 (neg.f64 (/.f64 (-.f64 eps #s(literal -1 binary64)) eps)) (-.f64 eps #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) x)))) |
(* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)) |
(*.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) |
(exp (neg (* x (- 1 eps)))) |
(pow.f64 (exp.f64 x) (+.f64 #s(literal -1 binary64) eps)) |
(/ -1 (exp (- (* eps x) (* -1 x)))) |
(/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))) |
(* -1 x) |
(neg.f64 x) |
(- (* eps x) x) |
(-.f64 (*.f64 x eps) x) |
(* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) |
(*.f64 (fma.f64 (exp.f64 (neg.f64 x)) (-.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 x (exp.f64 x))) #s(literal 1/2 binary64)) |
(+ (* 1/2 (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x)))))))) (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))))) |
(*.f64 (fma.f64 (-.f64 (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))) (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))))) (*.f64 eps eps) (fma.f64 (exp.f64 (neg.f64 x)) (-.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 x (exp.f64 x)))) #s(literal 1/2 binary64)) |
(+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x)))))))) (* 1/2 (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x)))))))))) |
(fma.f64 (*.f64 (*.f64 eps eps) #s(literal 1/2 binary64)) (-.f64 (fma.f64 (-.f64 (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64)))) (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 #s(literal -1/120 binary64) (pow.f64 x #s(literal 5 binary64)) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64)))))) (*.f64 eps eps) (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))))) (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))))) (*.f64 (fma.f64 (exp.f64 (neg.f64 x)) (-.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 x (exp.f64 x))) #s(literal 1/2 binary64))) |
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(*.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps)) (pow.f64 (exp.f64 x) (+.f64 #s(literal -1 binary64) eps))) #s(literal 1/2 binary64)) |
(+ (* -1/2 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps)) (* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))))) |
(*.f64 (+.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal -1 binary64) eps)) (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps))) eps) (+.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps)) (pow.f64 (exp.f64 x) (+.f64 #s(literal -1 binary64) eps)))) #s(literal 1/2 binary64)) |
(- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) |
(+.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps)) (pow.f64 (exp.f64 x) (+.f64 #s(literal -1 binary64) eps))) |
(- (+ (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) |
(+.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps)) (-.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal -1 binary64) eps)) (/.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal -1 binary64) eps)) #s(literal -1 binary64) (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps))) eps))) |
(exp (neg (* x (+ 1 (* -1 eps))))) |
(pow.f64 (exp.f64 x) (+.f64 #s(literal -1 binary64) eps)) |
(+ (exp (neg (* x (+ 1 (* -1 eps))))) (/ (exp (neg (* x (+ 1 (* -1 eps))))) eps)) |
(*.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal -1 binary64) eps)) (/.f64 (-.f64 eps #s(literal -1 binary64)) eps)) |
(* -1 (* eps (- (/ 1 (pow eps 2)) 1))) |
(*.f64 (neg.f64 eps) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) eps) eps) #s(literal 1 binary64))) |
(* (pow eps 2) (- (* -1 (/ (- (* 2 (/ 1 (pow eps 2))) 2) eps)) 1)) |
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) eps) eps) #s(literal 2 binary64)) (neg.f64 eps)) #s(literal 1 binary64)) (*.f64 eps eps)) |
(* (pow eps 2) (- (* -1 (/ (- (* 2 (/ 1 (pow eps 2))) (+ 2 (/ 1 (pow eps 3)))) eps)) 1)) |
(*.f64 (-.f64 (/.f64 (-.f64 (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) eps) eps) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (neg.f64 eps)) #s(literal 1 binary64)) (*.f64 eps eps)) |
(* -1 (* eps (- 1 (* 2 (/ 1 eps))))) |
(*.f64 (neg.f64 eps) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) eps))) |
(* -1 (* eps (+ 1 (* -1 (/ (- 2 (/ 1 eps)) eps))))) |
(*.f64 (neg.f64 eps) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) eps))) |
(+ 1 (* -1 (/ (- 2 (/ 1 eps)) eps))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) eps)) |
(* -1 (exp (neg (* x (- 1 (* -1 eps)))))) |
(/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))) |
(+ (* -1 (exp (neg (* x (- 1 (* -1 eps)))))) (/ (exp (neg (* x (- 1 (* -1 eps))))) eps)) |
(-.f64 (/.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps)) eps) (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 64 | 642 |
| 0 | 105 | 614 |
| 1 | 411 | 540 |
| 0 | 3639 | 540 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))))) #s(literal 2 binary64)) |
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) #s(approx (* (- eps 1) (+ (/ 1 eps) 1)) (-.f64 eps (/.f64 #s(literal 1 binary64) eps)))) x #s(literal 2 binary64))) #s(literal 2 binary64)) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) #s(approx (* (- eps 1) (+ (/ 1 eps) 1)) (-.f64 eps (/.f64 #s(literal 1 binary64) eps)))) x #s(literal 2 binary64))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) #s(approx (* (- eps 1) (+ (/ 1 eps) 1)) (-.f64 eps (/.f64 #s(literal 1 binary64) eps)))) x #s(literal 2 binary64)) |
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) #s(approx (* (- eps 1) (+ (/ 1 eps) 1)) (-.f64 eps (/.f64 #s(literal 1 binary64) eps)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (/.f64 (-.f64 eps #s(literal 1 binary64)) eps)) (*.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64)))) (-.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (-.f64 eps #s(literal 1 binary64)))) |
(-.f64 (*.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (/.f64 (-.f64 eps #s(literal 1 binary64)) eps)) (*.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64)))) |
(-.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (-.f64 eps #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (/.f64 (-.f64 eps #s(literal 1 binary64)) eps)) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (-.f64 eps #s(literal -1 binary64)) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal 2 binary64)) |
(-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (-.f64 eps #s(literal -1 binary64)) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) |
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (-.f64 eps #s(literal -1 binary64)) eps)) |
(/.f64 (-.f64 eps #s(literal -1 binary64)) eps) |
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))) |
(exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))) |
#s(approx (* (- eps 1) (+ (/ 1 eps) 1)) (-.f64 eps (/.f64 #s(literal 1 binary64) eps))) |
(+.f64 #s(literal 1 binary64) eps) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (/.f64 (-.f64 eps #s(literal 1 binary64)) eps)) (*.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64)))) (-.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (-.f64 eps #s(literal 1 binary64))))) x #s(literal 2 binary64))) |
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (/.f64 (-.f64 eps #s(literal 1 binary64)) eps)) (*.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64)))) (-.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (-.f64 eps #s(literal 1 binary64))))) |
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))) |
(/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))) |
| Outputs |
|---|
(*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps)) |
(*.f64 (-.f64 eps #s(literal 1 binary64)) x) |
(*.f64 x (-.f64 eps #s(literal 1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) eps) (neg.f64 x)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))) (neg.f64 x)) (fma.f64 eps (-.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (neg.f64 x)) (-.f64 eps #s(literal -1 binary64))) |
(neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps))) |
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 eps #s(literal 1 binary64))) x) (/.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 (pow.f64 (exp.f64 (-.f64 eps #s(literal 1 binary64))) x) (/.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 (/.f64 #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))) #s(literal 2 binary64)) (/.f64 #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))) #s(literal 2 binary64)))) (fma.f64 (pow.f64 (exp.f64 (-.f64 eps #s(literal 1 binary64))) x) (/.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)) (/.f64 #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 eps #s(literal 1 binary64))) x) (/.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 eps #s(literal 1 binary64))) x) (/.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 (pow.f64 (exp.f64 (-.f64 eps #s(literal 1 binary64))) x) (/.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64))) (fma.f64 (/.f64 #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))) #s(literal 2 binary64)) (/.f64 #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 eps #s(literal 1 binary64))) x) (/.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 eps #s(literal 1 binary64))) x) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 eps #s(literal 1 binary64))) x) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))))) #s(literal 4 binary64)) |
(/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 eps #s(literal 1 binary64))) x) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))) #s(literal 2 binary64))) (*.f64 (fma.f64 (pow.f64 (exp.f64 (-.f64 eps #s(literal 1 binary64))) x) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal 2 binary64))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 eps #s(literal 1 binary64))) x) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))) #s(literal 3 binary64))) (*.f64 (fma.f64 #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))) (fma.f64 (pow.f64 (exp.f64 (-.f64 eps #s(literal 1 binary64))) x) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) (pow.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 eps #s(literal 1 binary64))) x) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 eps #s(literal 1 binary64))) x) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))))) #s(literal -2 binary64)) |
(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 eps #s(literal 1 binary64))) x) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal 2 binary64)) |
(neg.f64 (/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 eps #s(literal 1 binary64))) x) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))))) #s(literal 2 binary64))) |
(neg.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 eps #s(literal 1 binary64))) x) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal -2 binary64))) |
(-.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 eps #s(literal 1 binary64))) x) (/.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))) #s(literal 2 binary64))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 eps #s(literal 1 binary64))) x) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (pow.f64 (exp.f64 (-.f64 eps #s(literal 1 binary64))) x) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 eps #s(literal 1 binary64))) x) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))) (fma.f64 (pow.f64 (exp.f64 (-.f64 eps #s(literal 1 binary64))) x) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) (pow.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 eps #s(literal 1 binary64))) x) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))))) |
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(-.f64 (fma.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) #s(literal 2 binary64)) (-.f64 (-.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) eps) #s(literal -1 binary64)))) (/.f64 (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (-.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) eps) #s(literal -1 binary64)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))))) (/.f64 (pow.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)))))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) #s(literal 2 binary64)) (-.f64 (-.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) eps) #s(literal -1 binary64))) (-.f64 (/.f64 (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (-.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) eps) #s(literal -1 binary64))) (*.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))))) |
(-.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))) (*.f64 (fma.f64 #s(literal -1 binary64) eps #s(literal -1 binary64)) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(-.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))) (*.f64 (neg.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (-.f64 eps #s(literal -1 binary64)))) |
(+.f64 (fma.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) eps)) |
(+.f64 (/.f64 (pow.f64 (*.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)) (fma.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))) (-.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))) (*.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)))) (pow.f64 (*.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)) (fma.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))) (-.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))) (*.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)))) (pow.f64 (*.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))))) |
(+.f64 (*.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(+.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))) (*.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(+.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) eps (*.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))))) |
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))) |
(*.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 (fma.f64 x eps x)))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))) |
(pow.f64 (neg.f64 (exp.f64 (fma.f64 x eps x))) #s(literal -1 binary64)) |
(/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 eps) x)) (exp.f64 x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (exp.f64 (fma.f64 x eps x))))) |
(/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 (fma.f64 x eps x)))) |
(neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))) |
(+.f64 (neg.f64 (cosh.f64 (fma.f64 x eps x))) (neg.f64 (sinh.f64 (neg.f64 (fma.f64 x eps x))))) |
Compiled 35 161 to 2 990 computations (91.5% saved)
18 alts after pruning (16 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 498 | 12 | 510 |
| Fresh | 5 | 4 | 9 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 506 | 18 | 524 |
| Status | Accuracy | Program |
|---|---|---|
| 36.4% | (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (/ -1 (exp (+ (* x eps) x))) #s(literal -1 binary64)))) #s(literal 2 binary64)) | |
| 60.3% | (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 #s(approx (neg (* (- 1 eps) x)) (*.f64 x eps)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))))) #s(literal 2 binary64)) | |
| 27.0% | (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64)) | |
| ▶ | 39.3% | (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))))) #s(literal 2 binary64)) |
| 30.1% | (/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (-.f64 eps #s(literal -1 binary64)) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64)) | |
| 40.9% | (/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (-.f64 eps #s(literal -1 binary64)) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))))) #s(literal 2 binary64)) | |
| 29.1% | (/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (-.f64 eps #s(literal -1 binary64)) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (/ -1 (exp (+ (* x eps) x))) (/.f64 #s(literal -1 binary64) (exp.f64 x))))) #s(literal 2 binary64)) | |
| 27.0% | (/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (-.f64 eps #s(literal -1 binary64)) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (/ -1 (exp (+ (* x eps) x))) (-.f64 (fma.f64 x eps x) #s(literal 1 binary64))))) #s(literal 2 binary64)) | |
| ▶ | 18.9% | (/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (-.f64 eps #s(literal -1 binary64)) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (/ -1 (exp (+ (* x eps) x))) #s(literal -1 binary64)))) #s(literal 2 binary64)) |
| ▶ | 61.5% | (/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (/.f64 (fma.f64 eps eps #s(literal -1 binary64)) (-.f64 eps #s(literal 1 binary64))) #s(approx (* (- eps 1) (+ (/ 1 eps) 1)) (-.f64 eps (/.f64 #s(literal 1 binary64) eps)))) x #s(literal 2 binary64))) #s(literal 2 binary64)) |
| 37.1% | (/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (/.f64 (-.f64 eps #s(literal 1 binary64)) eps)) (*.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64)))) #s(approx (- (/ (- eps 1) eps) (- eps 1)) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps))))) x #s(literal 2 binary64))) #s(literal 2 binary64)) | |
| ▶ | 42.0% | (/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (/.f64 (+.f64 (fma.f64 eps eps #s(literal -1 binary64)) (*.f64 eps (fma.f64 eps eps #s(literal -1 binary64)))) (fma.f64 eps eps eps))) x #s(literal 2 binary64))) #s(literal 2 binary64)) |
| ▶ | 35.2% | (/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (/.f64 #s(approx (- (* (/ (- eps 1) eps) (/ (- eps 1) eps)) (* (- eps 1) (- eps 1))) (/.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 2 binary64) eps) (*.f64 eps eps) #s(literal -2 binary64)) eps #s(literal 1 binary64)) eps) eps)) (-.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (-.f64 eps #s(literal 1 binary64))))) x #s(literal 2 binary64))) #s(literal 2 binary64)) |
| 38.1% | (/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (/.f64 #s(approx (- (* (/ (- eps 1) eps) (/ (- eps 1) eps)) (* (- eps 1) (- eps 1))) (/.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 2 binary64) #s(literal -2 binary64)) eps #s(literal 1 binary64)) eps) eps)) (-.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (-.f64 eps #s(literal 1 binary64))))) x #s(literal 2 binary64))) #s(literal 2 binary64)) | |
| 40.3% | (/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (/.f64 #s(approx (- (* (/ (- eps 1) eps) (/ (- eps 1) eps)) (* (- eps 1) (- eps 1))) (*.f64 (neg.f64 eps) eps)) (-.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (-.f64 eps #s(literal 1 binary64))))) x #s(literal 2 binary64))) #s(literal 2 binary64)) | |
| ✓ | 50.2% | (/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) #s(approx (* (- eps 1) (+ (/ 1 eps) 1)) (-.f64 eps (/.f64 #s(literal 1 binary64) eps)))) x #s(literal 2 binary64))) #s(literal 2 binary64)) |
| 59.1% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (fma.f64 (exp.f64 (neg.f64 x)) (-.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 x (exp.f64 x))) #s(literal 1/2 binary64))) | |
| ✓ | 50.2% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) |
Compiled 1 862 to 1 090 computations (41.5% saved)
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) | |
| cost-diff | 0 | (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) | |
| cost-diff | 0 | (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))))) | |
| cost-diff | 0 | (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))))) #s(literal 2 binary64)) | |
| cost-diff | 0 | (/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (/.f64 #s(approx (- (* (/ (- eps 1) eps) (/ (- eps 1) eps)) (* (- eps 1) (- eps 1))) (/.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 2 binary64) eps) (*.f64 eps eps) #s(literal -2 binary64)) eps #s(literal 1 binary64)) eps) eps)) (-.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (-.f64 eps #s(literal 1 binary64))))) x #s(literal 2 binary64))) #s(literal 2 binary64)) | |
| cost-diff | 1 | (/.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 2 binary64) eps) (*.f64 eps eps) #s(literal -2 binary64)) eps #s(literal 1 binary64)) eps) | |
| cost-diff | 2 | (-.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (-.f64 eps #s(literal 1 binary64))) | |
| cost-diff | 3 | (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (/.f64 #s(approx (- (* (/ (- eps 1) eps) (/ (- eps 1) eps)) (* (- eps 1) (- eps 1))) (/.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 2 binary64) eps) (*.f64 eps eps) #s(literal -2 binary64)) eps #s(literal 1 binary64)) eps) eps)) (-.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (-.f64 eps #s(literal 1 binary64))))) | |
| cost-diff | 1 | (*.f64 eps (fma.f64 eps eps #s(literal -1 binary64))) | |
| cost-diff | 2 | (+.f64 (fma.f64 eps eps #s(literal -1 binary64)) (*.f64 eps (fma.f64 eps eps #s(literal -1 binary64)))) | |
| cost-diff | 3 | (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (/.f64 (+.f64 (fma.f64 eps eps #s(literal -1 binary64)) (*.f64 eps (fma.f64 eps eps #s(literal -1 binary64)))) (fma.f64 eps eps eps))) | |
| cost-diff | 8 | (/.f64 (+.f64 (fma.f64 eps eps #s(literal -1 binary64)) (*.f64 eps (fma.f64 eps eps #s(literal -1 binary64)))) (fma.f64 eps eps eps)) | |
| cost-diff | 0 | (/.f64 (-.f64 eps #s(literal -1 binary64)) eps) | |
| cost-diff | 0 | #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (-.f64 eps #s(literal -1 binary64)) eps)) | |
| cost-diff | 0 | (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (-.f64 eps #s(literal -1 binary64)) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (/ -1 (exp (+ (* x eps) x))) #s(literal -1 binary64)))) | |
| cost-diff | 0 | (/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (-.f64 eps #s(literal -1 binary64)) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (/ -1 (exp (+ (* x eps) x))) #s(literal -1 binary64)))) #s(literal 2 binary64)) | |
| cost-diff | 0 | #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (/.f64 (fma.f64 eps eps #s(literal -1 binary64)) (-.f64 eps #s(literal 1 binary64))) #s(approx (* (- eps 1) (+ (/ 1 eps) 1)) (-.f64 eps (/.f64 #s(literal 1 binary64) eps)))) x #s(literal 2 binary64))) | |
| cost-diff | 0 | (/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (/.f64 (fma.f64 eps eps #s(literal -1 binary64)) (-.f64 eps #s(literal 1 binary64))) #s(approx (* (- eps 1) (+ (/ 1 eps) 1)) (-.f64 eps (/.f64 #s(literal 1 binary64) eps)))) x #s(literal 2 binary64))) #s(literal 2 binary64)) | |
| cost-diff | 4 | (/.f64 (fma.f64 eps eps #s(literal -1 binary64)) (-.f64 eps #s(literal 1 binary64))) | |
| cost-diff | 4 | (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (/.f64 (fma.f64 eps eps #s(literal -1 binary64)) (-.f64 eps #s(literal 1 binary64))) #s(approx (* (- eps 1) (+ (/ 1 eps) 1)) (-.f64 eps (/.f64 #s(literal 1 binary64) eps)))) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 83 | 1238 |
| 0 | 137 | 1212 |
| 1 | 283 | 1188 |
| 2 | 880 | 1051 |
| 3 | 4199 | 1010 |
| 0 | 8627 | 1010 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (/.f64 (fma.f64 eps eps #s(literal -1 binary64)) (-.f64 eps #s(literal 1 binary64))) #s(approx (* (- eps 1) (+ (/ 1 eps) 1)) (-.f64 eps (/.f64 #s(literal 1 binary64) eps)))) x #s(literal 2 binary64))) #s(literal 2 binary64)) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (/.f64 (fma.f64 eps eps #s(literal -1 binary64)) (-.f64 eps #s(literal 1 binary64))) #s(approx (* (- eps 1) (+ (/ 1 eps) 1)) (-.f64 eps (/.f64 #s(literal 1 binary64) eps)))) x #s(literal 2 binary64))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (/.f64 (fma.f64 eps eps #s(literal -1 binary64)) (-.f64 eps #s(literal 1 binary64))) #s(approx (* (- eps 1) (+ (/ 1 eps) 1)) (-.f64 eps (/.f64 #s(literal 1 binary64) eps)))) x #s(literal 2 binary64)) |
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (/.f64 (fma.f64 eps eps #s(literal -1 binary64)) (-.f64 eps #s(literal 1 binary64))) #s(approx (* (- eps 1) (+ (/ 1 eps) 1)) (-.f64 eps (/.f64 #s(literal 1 binary64) eps)))) |
(-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) eps) |
#s(literal 1 binary64) |
eps |
(/.f64 (fma.f64 eps eps #s(literal -1 binary64)) (-.f64 eps #s(literal 1 binary64))) |
(fma.f64 eps eps #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(-.f64 eps #s(literal 1 binary64)) |
#s(approx (* (- eps 1) (+ (/ 1 eps) 1)) (-.f64 eps (/.f64 #s(literal 1 binary64) eps))) |
(-.f64 eps (/.f64 #s(literal 1 binary64) eps)) |
x |
#s(literal 2 binary64) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (-.f64 eps #s(literal -1 binary64)) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (/ -1 (exp (+ (* x eps) x))) #s(literal -1 binary64)))) #s(literal 2 binary64)) |
(-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (-.f64 eps #s(literal -1 binary64)) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (/ -1 (exp (+ (* x eps) x))) #s(literal -1 binary64)))) |
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (-.f64 eps #s(literal -1 binary64)) eps)) |
(/.f64 (-.f64 eps #s(literal -1 binary64)) eps) |
(-.f64 eps #s(literal -1 binary64)) |
eps |
#s(literal -1 binary64) |
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (/ -1 (exp (+ (* x eps) x))) #s(literal -1 binary64))) |
#s(approx (/ -1 (exp (+ (* x eps) x))) #s(literal -1 binary64)) |
#s(literal 2 binary64) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (/.f64 (+.f64 (fma.f64 eps eps #s(literal -1 binary64)) (*.f64 eps (fma.f64 eps eps #s(literal -1 binary64)))) (fma.f64 eps eps eps))) x #s(literal 2 binary64))) #s(literal 2 binary64)) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (/.f64 (+.f64 (fma.f64 eps eps #s(literal -1 binary64)) (*.f64 eps (fma.f64 eps eps #s(literal -1 binary64)))) (fma.f64 eps eps eps))) x #s(literal 2 binary64))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (/.f64 (+.f64 (fma.f64 eps eps #s(literal -1 binary64)) (*.f64 eps (fma.f64 eps eps #s(literal -1 binary64)))) (fma.f64 eps eps eps))) x #s(literal 2 binary64)) |
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (/.f64 (+.f64 (fma.f64 eps eps #s(literal -1 binary64)) (*.f64 eps (fma.f64 eps eps #s(literal -1 binary64)))) (fma.f64 eps eps eps))) |
(-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) eps) |
#s(literal 1 binary64) |
eps |
(+.f64 #s(literal 1 binary64) eps) |
(/.f64 (+.f64 (fma.f64 eps eps #s(literal -1 binary64)) (*.f64 eps (fma.f64 eps eps #s(literal -1 binary64)))) (fma.f64 eps eps eps)) |
(+.f64 (fma.f64 eps eps #s(literal -1 binary64)) (*.f64 eps (fma.f64 eps eps #s(literal -1 binary64)))) |
(fma.f64 eps eps #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(*.f64 eps (fma.f64 eps eps #s(literal -1 binary64))) |
(fma.f64 eps eps eps) |
x |
#s(literal 2 binary64) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (/.f64 #s(approx (- (* (/ (- eps 1) eps) (/ (- eps 1) eps)) (* (- eps 1) (- eps 1))) (/.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 2 binary64) eps) (*.f64 eps eps) #s(literal -2 binary64)) eps #s(literal 1 binary64)) eps) eps)) (-.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (-.f64 eps #s(literal 1 binary64))))) x #s(literal 2 binary64))) #s(literal 2 binary64)) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (/.f64 #s(approx (- (* (/ (- eps 1) eps) (/ (- eps 1) eps)) (* (- eps 1) (- eps 1))) (/.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 2 binary64) eps) (*.f64 eps eps) #s(literal -2 binary64)) eps #s(literal 1 binary64)) eps) eps)) (-.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (-.f64 eps #s(literal 1 binary64))))) x #s(literal 2 binary64))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (/.f64 #s(approx (- (* (/ (- eps 1) eps) (/ (- eps 1) eps)) (* (- eps 1) (- eps 1))) (/.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 2 binary64) eps) (*.f64 eps eps) #s(literal -2 binary64)) eps #s(literal 1 binary64)) eps) eps)) (-.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (-.f64 eps #s(literal 1 binary64))))) x #s(literal 2 binary64)) |
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (/.f64 #s(approx (- (* (/ (- eps 1) eps) (/ (- eps 1) eps)) (* (- eps 1) (- eps 1))) (/.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 2 binary64) eps) (*.f64 eps eps) #s(literal -2 binary64)) eps #s(literal 1 binary64)) eps) eps)) (-.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (-.f64 eps #s(literal 1 binary64))))) |
(-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) eps) |
#s(literal 1 binary64) |
eps |
(+.f64 #s(literal 1 binary64) eps) |
(/.f64 #s(approx (- (* (/ (- eps 1) eps) (/ (- eps 1) eps)) (* (- eps 1) (- eps 1))) (/.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 2 binary64) eps) (*.f64 eps eps) #s(literal -2 binary64)) eps #s(literal 1 binary64)) eps) eps)) (-.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (-.f64 eps #s(literal 1 binary64)))) |
#s(approx (- (* (/ (- eps 1) eps) (/ (- eps 1) eps)) (* (- eps 1) (- eps 1))) (/.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 2 binary64) eps) (*.f64 eps eps) #s(literal -2 binary64)) eps #s(literal 1 binary64)) eps) eps)) |
(/.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 2 binary64) eps) (*.f64 eps eps) #s(literal -2 binary64)) eps #s(literal 1 binary64)) eps) eps) |
(/.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 2 binary64) eps) (*.f64 eps eps) #s(literal -2 binary64)) eps #s(literal 1 binary64)) eps) |
(fma.f64 (fma.f64 (-.f64 #s(literal 2 binary64) eps) (*.f64 eps eps) #s(literal -2 binary64)) eps #s(literal 1 binary64)) |
(fma.f64 (-.f64 #s(literal 2 binary64) eps) (*.f64 eps eps) #s(literal -2 binary64)) |
(-.f64 #s(literal 2 binary64) eps) |
#s(literal 2 binary64) |
(*.f64 eps eps) |
#s(literal -2 binary64) |
(-.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (-.f64 eps #s(literal 1 binary64))) |
(/.f64 (-.f64 eps #s(literal 1 binary64)) eps) |
(-.f64 eps #s(literal 1 binary64)) |
x |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))))) #s(literal 2 binary64)) |
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) eps) |
eps |
#s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64))) |
(fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(-.f64 eps #s(literal 1 binary64)) |
x |
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))) |
(neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))) |
(exp.f64 (neg.f64 (fma.f64 x eps x))) |
(neg.f64 (fma.f64 x eps x)) |
(fma.f64 x eps x) |
#s(literal 2 binary64) |
| Outputs |
|---|
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (/.f64 (fma.f64 eps eps #s(literal -1 binary64)) (-.f64 eps #s(literal 1 binary64))) #s(approx (* (- eps 1) (+ (/ 1 eps) 1)) (-.f64 eps (/.f64 #s(literal 1 binary64) eps)))) x #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (-.f64 #s(approx (* (- eps 1) (+ (/ 1 eps) 1)) (-.f64 eps (/.f64 #s(literal 1 binary64) eps))) (-.f64 eps (/.f64 #s(literal 1 binary64) eps))) x #s(literal 2 binary64))) #s(literal 2 binary64)) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (/.f64 (fma.f64 eps eps #s(literal -1 binary64)) (-.f64 eps #s(literal 1 binary64))) #s(approx (* (- eps 1) (+ (/ 1 eps) 1)) (-.f64 eps (/.f64 #s(literal 1 binary64) eps)))) x #s(literal 2 binary64))) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (-.f64 #s(approx (* (- eps 1) (+ (/ 1 eps) 1)) (-.f64 eps (/.f64 #s(literal 1 binary64) eps))) (-.f64 eps (/.f64 #s(literal 1 binary64) eps))) x #s(literal 2 binary64))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (/.f64 (fma.f64 eps eps #s(literal -1 binary64)) (-.f64 eps #s(literal 1 binary64))) #s(approx (* (- eps 1) (+ (/ 1 eps) 1)) (-.f64 eps (/.f64 #s(literal 1 binary64) eps)))) x #s(literal 2 binary64)) |
(fma.f64 (-.f64 #s(approx (* (- eps 1) (+ (/ 1 eps) 1)) (-.f64 eps (/.f64 #s(literal 1 binary64) eps))) (-.f64 eps (/.f64 #s(literal 1 binary64) eps))) x #s(literal 2 binary64)) |
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (/.f64 (fma.f64 eps eps #s(literal -1 binary64)) (-.f64 eps #s(literal 1 binary64))) #s(approx (* (- eps 1) (+ (/ 1 eps) 1)) (-.f64 eps (/.f64 #s(literal 1 binary64) eps)))) |
(-.f64 #s(approx (* (- eps 1) (+ (/ 1 eps) 1)) (-.f64 eps (/.f64 #s(literal 1 binary64) eps))) (-.f64 eps (/.f64 #s(literal 1 binary64) eps))) |
(-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) eps) |
#s(literal 1 binary64) |
eps |
(/.f64 (fma.f64 eps eps #s(literal -1 binary64)) (-.f64 eps #s(literal 1 binary64))) |
(neg.f64 (-.f64 #s(literal -1 binary64) eps)) |
(fma.f64 eps eps #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(-.f64 eps #s(literal 1 binary64)) |
#s(approx (* (- eps 1) (+ (/ 1 eps) 1)) (-.f64 eps (/.f64 #s(literal 1 binary64) eps))) |
(-.f64 eps (/.f64 #s(literal 1 binary64) eps)) |
x |
#s(literal 2 binary64) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (-.f64 eps #s(literal -1 binary64)) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (/ -1 (exp (+ (* x eps) x))) #s(literal -1 binary64)))) #s(literal 2 binary64)) |
(-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (-.f64 eps #s(literal -1 binary64)) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (/ -1 (exp (+ (* x eps) x))) #s(literal -1 binary64)))) |
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (-.f64 eps #s(literal -1 binary64)) eps)) |
(/.f64 (-.f64 eps #s(literal -1 binary64)) eps) |
(-.f64 eps #s(literal -1 binary64)) |
eps |
#s(literal -1 binary64) |
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (/ -1 (exp (+ (* x eps) x))) #s(literal -1 binary64))) |
#s(approx (/ -1 (exp (+ (* x eps) x))) #s(literal -1 binary64)) |
#s(literal 2 binary64) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (/.f64 (+.f64 (fma.f64 eps eps #s(literal -1 binary64)) (*.f64 eps (fma.f64 eps eps #s(literal -1 binary64)))) (fma.f64 eps eps eps))) x #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (-.f64 (-.f64 eps (/.f64 #s(literal 1 binary64) eps)) (-.f64 eps (/.f64 #s(literal 1 binary64) eps))) x #s(literal 2 binary64))) #s(literal 2 binary64)) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (/.f64 (+.f64 (fma.f64 eps eps #s(literal -1 binary64)) (*.f64 eps (fma.f64 eps eps #s(literal -1 binary64)))) (fma.f64 eps eps eps))) x #s(literal 2 binary64))) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (-.f64 (-.f64 eps (/.f64 #s(literal 1 binary64) eps)) (-.f64 eps (/.f64 #s(literal 1 binary64) eps))) x #s(literal 2 binary64))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (/.f64 (+.f64 (fma.f64 eps eps #s(literal -1 binary64)) (*.f64 eps (fma.f64 eps eps #s(literal -1 binary64)))) (fma.f64 eps eps eps))) x #s(literal 2 binary64)) |
(fma.f64 (-.f64 (-.f64 eps (/.f64 #s(literal 1 binary64) eps)) (-.f64 eps (/.f64 #s(literal 1 binary64) eps))) x #s(literal 2 binary64)) |
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (/.f64 (+.f64 (fma.f64 eps eps #s(literal -1 binary64)) (*.f64 eps (fma.f64 eps eps #s(literal -1 binary64)))) (fma.f64 eps eps eps))) |
(-.f64 (-.f64 eps (/.f64 #s(literal 1 binary64) eps)) (-.f64 eps (/.f64 #s(literal 1 binary64) eps))) |
(-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) eps) |
#s(literal 1 binary64) |
eps |
(+.f64 #s(literal 1 binary64) eps) |
(-.f64 eps #s(literal -1 binary64)) |
(/.f64 (+.f64 (fma.f64 eps eps #s(literal -1 binary64)) (*.f64 eps (fma.f64 eps eps #s(literal -1 binary64)))) (fma.f64 eps eps eps)) |
(-.f64 eps (/.f64 #s(literal 1 binary64) eps)) |
(+.f64 (fma.f64 eps eps #s(literal -1 binary64)) (*.f64 eps (fma.f64 eps eps #s(literal -1 binary64)))) |
(*.f64 (-.f64 eps #s(literal -1 binary64)) (fma.f64 eps eps #s(literal -1 binary64))) |
(fma.f64 eps eps #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(*.f64 eps (fma.f64 eps eps #s(literal -1 binary64))) |
(-.f64 (pow.f64 eps #s(literal 3 binary64)) eps) |
(fma.f64 eps eps eps) |
x |
#s(literal 2 binary64) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (/.f64 #s(approx (- (* (/ (- eps 1) eps) (/ (- eps 1) eps)) (* (- eps 1) (- eps 1))) (/.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 2 binary64) eps) (*.f64 eps eps) #s(literal -2 binary64)) eps #s(literal 1 binary64)) eps) eps)) (-.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (-.f64 eps #s(literal 1 binary64))))) x #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (-.f64 (/.f64 #s(approx (- (* (/ (- eps 1) eps) (/ (- eps 1) eps)) (* (- eps 1) (- eps 1))) (/.f64 (-.f64 (fma.f64 (*.f64 eps eps) (-.f64 #s(literal 2 binary64) eps) #s(literal -2 binary64)) (/.f64 #s(literal -1 binary64) eps)) eps)) (-.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) eps) eps))) (-.f64 eps (/.f64 #s(literal 1 binary64) eps))) x #s(literal 2 binary64))) #s(literal 2 binary64)) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (/.f64 #s(approx (- (* (/ (- eps 1) eps) (/ (- eps 1) eps)) (* (- eps 1) (- eps 1))) (/.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 2 binary64) eps) (*.f64 eps eps) #s(literal -2 binary64)) eps #s(literal 1 binary64)) eps) eps)) (-.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (-.f64 eps #s(literal 1 binary64))))) x #s(literal 2 binary64))) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (-.f64 (/.f64 #s(approx (- (* (/ (- eps 1) eps) (/ (- eps 1) eps)) (* (- eps 1) (- eps 1))) (/.f64 (-.f64 (fma.f64 (*.f64 eps eps) (-.f64 #s(literal 2 binary64) eps) #s(literal -2 binary64)) (/.f64 #s(literal -1 binary64) eps)) eps)) (-.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) eps) eps))) (-.f64 eps (/.f64 #s(literal 1 binary64) eps))) x #s(literal 2 binary64))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (/.f64 #s(approx (- (* (/ (- eps 1) eps) (/ (- eps 1) eps)) (* (- eps 1) (- eps 1))) (/.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 2 binary64) eps) (*.f64 eps eps) #s(literal -2 binary64)) eps #s(literal 1 binary64)) eps) eps)) (-.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (-.f64 eps #s(literal 1 binary64))))) x #s(literal 2 binary64)) |
(fma.f64 (-.f64 (/.f64 #s(approx (- (* (/ (- eps 1) eps) (/ (- eps 1) eps)) (* (- eps 1) (- eps 1))) (/.f64 (-.f64 (fma.f64 (*.f64 eps eps) (-.f64 #s(literal 2 binary64) eps) #s(literal -2 binary64)) (/.f64 #s(literal -1 binary64) eps)) eps)) (-.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) eps) eps))) (-.f64 eps (/.f64 #s(literal 1 binary64) eps))) x #s(literal 2 binary64)) |
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (/.f64 #s(approx (- (* (/ (- eps 1) eps) (/ (- eps 1) eps)) (* (- eps 1) (- eps 1))) (/.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 2 binary64) eps) (*.f64 eps eps) #s(literal -2 binary64)) eps #s(literal 1 binary64)) eps) eps)) (-.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (-.f64 eps #s(literal 1 binary64))))) |
(-.f64 (/.f64 #s(approx (- (* (/ (- eps 1) eps) (/ (- eps 1) eps)) (* (- eps 1) (- eps 1))) (/.f64 (-.f64 (fma.f64 (*.f64 eps eps) (-.f64 #s(literal 2 binary64) eps) #s(literal -2 binary64)) (/.f64 #s(literal -1 binary64) eps)) eps)) (-.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) eps) eps))) (-.f64 eps (/.f64 #s(literal 1 binary64) eps))) |
(-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) eps) |
#s(literal 1 binary64) |
eps |
(+.f64 #s(literal 1 binary64) eps) |
(-.f64 eps #s(literal -1 binary64)) |
(/.f64 #s(approx (- (* (/ (- eps 1) eps) (/ (- eps 1) eps)) (* (- eps 1) (- eps 1))) (/.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 2 binary64) eps) (*.f64 eps eps) #s(literal -2 binary64)) eps #s(literal 1 binary64)) eps) eps)) (-.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (-.f64 eps #s(literal 1 binary64)))) |
(/.f64 #s(approx (- (* (/ (- eps 1) eps) (/ (- eps 1) eps)) (* (- eps 1) (- eps 1))) (/.f64 (-.f64 (fma.f64 (*.f64 eps eps) (-.f64 #s(literal 2 binary64) eps) #s(literal -2 binary64)) (/.f64 #s(literal -1 binary64) eps)) eps)) (-.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) eps) eps))) |
#s(approx (- (* (/ (- eps 1) eps) (/ (- eps 1) eps)) (* (- eps 1) (- eps 1))) (/.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 2 binary64) eps) (*.f64 eps eps) #s(literal -2 binary64)) eps #s(literal 1 binary64)) eps) eps)) |
#s(approx (- (* (/ (- eps 1) eps) (/ (- eps 1) eps)) (* (- eps 1) (- eps 1))) (/.f64 (-.f64 (fma.f64 (*.f64 eps eps) (-.f64 #s(literal 2 binary64) eps) #s(literal -2 binary64)) (/.f64 #s(literal -1 binary64) eps)) eps)) |
(/.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 2 binary64) eps) (*.f64 eps eps) #s(literal -2 binary64)) eps #s(literal 1 binary64)) eps) eps) |
(/.f64 (-.f64 (fma.f64 (*.f64 eps eps) (-.f64 #s(literal 2 binary64) eps) #s(literal -2 binary64)) (/.f64 #s(literal -1 binary64) eps)) eps) |
(/.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 2 binary64) eps) (*.f64 eps eps) #s(literal -2 binary64)) eps #s(literal 1 binary64)) eps) |
(-.f64 (fma.f64 (*.f64 eps eps) (-.f64 #s(literal 2 binary64) eps) #s(literal -2 binary64)) (/.f64 #s(literal -1 binary64) eps)) |
(fma.f64 (fma.f64 (-.f64 #s(literal 2 binary64) eps) (*.f64 eps eps) #s(literal -2 binary64)) eps #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (*.f64 eps eps) (-.f64 #s(literal 2 binary64) eps) #s(literal -2 binary64)) eps #s(literal 1 binary64)) |
(fma.f64 (-.f64 #s(literal 2 binary64) eps) (*.f64 eps eps) #s(literal -2 binary64)) |
(fma.f64 (*.f64 eps eps) (-.f64 #s(literal 2 binary64) eps) #s(literal -2 binary64)) |
(-.f64 #s(literal 2 binary64) eps) |
#s(literal 2 binary64) |
(*.f64 eps eps) |
#s(literal -2 binary64) |
(-.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (-.f64 eps #s(literal 1 binary64))) |
(-.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) eps) eps)) |
(/.f64 (-.f64 eps #s(literal 1 binary64)) eps) |
(-.f64 eps #s(literal 1 binary64)) |
x |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 #s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64))) (/.f64 (-.f64 eps #s(literal -1 binary64)) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal 2 binary64)) |
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))))) |
(-.f64 (*.f64 #s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64))) (/.f64 (-.f64 eps #s(literal -1 binary64)) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64))) (/.f64 (-.f64 eps #s(literal -1 binary64)) eps)) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) |
(/.f64 (-.f64 eps #s(literal -1 binary64)) eps) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) eps) |
eps |
#s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64))) |
(fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(-.f64 eps #s(literal 1 binary64)) |
x |
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))) |
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))) |
(neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))) |
(/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))) |
(exp.f64 (neg.f64 (fma.f64 x eps x))) |
(pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps)) |
(neg.f64 (fma.f64 x eps x)) |
(*.f64 (-.f64 #s(literal -1 binary64) eps) x) |
(fma.f64 x eps x) |
#s(literal 2 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0078125 | (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) | |
| accuracy | 13.597931417775262 | #s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64))) | |
| accuracy | 18.648437500000004 | (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))))) | |
| accuracy | 20.19179122019905 | #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))) | |
| accuracy | 2.3325061914812437 | (/.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 2 binary64) eps) (*.f64 eps eps) #s(literal -2 binary64)) eps #s(literal 1 binary64)) eps) | |
| accuracy | 4.235381298489616 | (/.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 2 binary64) eps) (*.f64 eps eps) #s(literal -2 binary64)) eps #s(literal 1 binary64)) eps) eps) | |
| accuracy | 18.0680165715364 | #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (/.f64 #s(approx (- (* (/ (- eps 1) eps) (/ (- eps 1) eps)) (* (- eps 1) (- eps 1))) (/.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 2 binary64) eps) (*.f64 eps eps) #s(literal -2 binary64)) eps #s(literal 1 binary64)) eps) eps)) (-.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (-.f64 eps #s(literal 1 binary64))))) x #s(literal 2 binary64))) | |
| accuracy | 23.857458927903135 | (/.f64 #s(approx (- (* (/ (- eps 1) eps) (/ (- eps 1) eps)) (* (- eps 1) (- eps 1))) (/.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 2 binary64) eps) (*.f64 eps eps) #s(literal -2 binary64)) eps #s(literal 1 binary64)) eps) eps)) (-.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (-.f64 eps #s(literal 1 binary64)))) | |
| accuracy | 2.17750285165106 | (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (/.f64 (+.f64 (fma.f64 eps eps #s(literal -1 binary64)) (*.f64 eps (fma.f64 eps eps #s(literal -1 binary64)))) (fma.f64 eps eps eps))) | |
| accuracy | 4.503869094943705 | (+.f64 (fma.f64 eps eps #s(literal -1 binary64)) (*.f64 eps (fma.f64 eps eps #s(literal -1 binary64)))) | |
| accuracy | 13.935281346279133 | (/.f64 (+.f64 (fma.f64 eps eps #s(literal -1 binary64)) (*.f64 eps (fma.f64 eps eps #s(literal -1 binary64)))) (fma.f64 eps eps eps)) | |
| accuracy | 18.0680165715364 | #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (/.f64 (+.f64 (fma.f64 eps eps #s(literal -1 binary64)) (*.f64 eps (fma.f64 eps eps #s(literal -1 binary64)))) (fma.f64 eps eps eps))) x #s(literal 2 binary64))) | |
| accuracy | 18.507585849827617 | #s(approx (/ -1 (exp (+ (* x eps) x))) #s(literal -1 binary64)) | |
| accuracy | 18.56253098046301 | #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (-.f64 eps #s(literal -1 binary64)) eps)) | |
| accuracy | 18.648437500000004 | (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (-.f64 eps #s(literal -1 binary64)) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (/ -1 (exp (+ (* x eps) x))) #s(literal -1 binary64)))) | |
| accuracy | 20.19179122019905 | #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (/ -1 (exp (+ (* x eps) x))) #s(literal -1 binary64))) | |
| accuracy | 0.0 | #s(approx (* (- eps 1) (+ (/ 1 eps) 1)) (-.f64 eps (/.f64 #s(literal 1 binary64) eps))) | |
| accuracy | 2.17750285165106 | (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (/.f64 (fma.f64 eps eps #s(literal -1 binary64)) (-.f64 eps #s(literal 1 binary64))) #s(approx (* (- eps 1) (+ (/ 1 eps) 1)) (-.f64 eps (/.f64 #s(literal 1 binary64) eps)))) | |
| accuracy | 9.359614823252228 | (/.f64 (fma.f64 eps eps #s(literal -1 binary64)) (-.f64 eps #s(literal 1 binary64))) | |
| accuracy | 18.0680165715364 | #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (/.f64 (fma.f64 eps eps #s(literal -1 binary64)) (-.f64 eps #s(literal 1 binary64))) #s(approx (* (- eps 1) (+ (/ 1 eps) 1)) (-.f64 eps (/.f64 #s(literal 1 binary64) eps)))) x #s(literal 2 binary64))) |
| 169.0ms | 111× | 1 | valid |
| 147.0ms | 88× | 2 | valid |
| 49.0ms | 57× | 0 | exit |
Compiled 856 to 69 computations (91.9% saved)
ival-add: 96.0ms (31.3% of total)adjust: 82.0ms (26.7% of total)ival-mult: 54.0ms (17.6% of total)ival-div: 33.0ms (10.8% of total)ival-sub: 19.0ms (6.2% of total)ival-exp: 16.0ms (5.2% of total)ival-neg: 6.0ms (2% of total)exact: 1.0ms (0.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (/.f64 (fma.f64 eps eps #s(literal -1 binary64)) (-.f64 eps #s(literal 1 binary64))) #s(approx (* (- eps 1) (+ (/ 1 eps) 1)) (-.f64 eps (/.f64 #s(literal 1 binary64) eps)))) |
(/.f64 (fma.f64 eps eps #s(literal -1 binary64)) (-.f64 eps #s(literal 1 binary64))) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (/.f64 (fma.f64 eps eps #s(literal -1 binary64)) (-.f64 eps #s(literal 1 binary64))) #s(approx (* (- eps 1) (+ (/ 1 eps) 1)) (-.f64 eps (/.f64 #s(literal 1 binary64) eps)))) x #s(literal 2 binary64))) #s(literal 2 binary64)) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (/.f64 (fma.f64 eps eps #s(literal -1 binary64)) (-.f64 eps #s(literal 1 binary64))) #s(approx (* (- eps 1) (+ (/ 1 eps) 1)) (-.f64 eps (/.f64 #s(literal 1 binary64) eps)))) x #s(literal 2 binary64))) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (-.f64 eps #s(literal -1 binary64)) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (/ -1 (exp (+ (* x eps) x))) #s(literal -1 binary64)))) #s(literal 2 binary64)) |
(-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (-.f64 eps #s(literal -1 binary64)) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (/ -1 (exp (+ (* x eps) x))) #s(literal -1 binary64)))) |
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (-.f64 eps #s(literal -1 binary64)) eps)) |
(/.f64 (-.f64 eps #s(literal -1 binary64)) eps) |
(/.f64 (+.f64 (fma.f64 eps eps #s(literal -1 binary64)) (*.f64 eps (fma.f64 eps eps #s(literal -1 binary64)))) (fma.f64 eps eps eps)) |
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (/.f64 (+.f64 (fma.f64 eps eps #s(literal -1 binary64)) (*.f64 eps (fma.f64 eps eps #s(literal -1 binary64)))) (fma.f64 eps eps eps))) |
(+.f64 (fma.f64 eps eps #s(literal -1 binary64)) (*.f64 eps (fma.f64 eps eps #s(literal -1 binary64)))) |
(*.f64 eps (fma.f64 eps eps #s(literal -1 binary64))) |
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (/.f64 #s(approx (- (* (/ (- eps 1) eps) (/ (- eps 1) eps)) (* (- eps 1) (- eps 1))) (/.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 2 binary64) eps) (*.f64 eps eps) #s(literal -2 binary64)) eps #s(literal 1 binary64)) eps) eps)) (-.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (-.f64 eps #s(literal 1 binary64))))) |
(-.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (-.f64 eps #s(literal 1 binary64))) |
(/.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 2 binary64) eps) (*.f64 eps eps) #s(literal -2 binary64)) eps #s(literal 1 binary64)) eps) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (/.f64 #s(approx (- (* (/ (- eps 1) eps) (/ (- eps 1) eps)) (* (- eps 1) (- eps 1))) (/.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 2 binary64) eps) (*.f64 eps eps) #s(literal -2 binary64)) eps #s(literal 1 binary64)) eps) eps)) (-.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (-.f64 eps #s(literal 1 binary64))))) x #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))))) #s(literal 2 binary64)) |
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) |
#s(approx (* (- eps 1) (+ (/ 1 eps) 1)) (-.f64 eps (/.f64 #s(literal 1 binary64) eps))) |
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (/ -1 (exp (+ (* x eps) x))) #s(literal -1 binary64))) |
#s(approx (/ -1 (exp (+ (* x eps) x))) #s(literal -1 binary64)) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (/.f64 (+.f64 (fma.f64 eps eps #s(literal -1 binary64)) (*.f64 eps (fma.f64 eps eps #s(literal -1 binary64)))) (fma.f64 eps eps eps))) x #s(literal 2 binary64))) |
(/.f64 #s(approx (- (* (/ (- eps 1) eps) (/ (- eps 1) eps)) (* (- eps 1) (- eps 1))) (/.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 2 binary64) eps) (*.f64 eps eps) #s(literal -2 binary64)) eps #s(literal 1 binary64)) eps) eps)) (-.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (-.f64 eps #s(literal 1 binary64)))) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (/.f64 #s(approx (- (* (/ (- eps 1) eps) (/ (- eps 1) eps)) (* (- eps 1) (- eps 1))) (/.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 2 binary64) eps) (*.f64 eps eps) #s(literal -2 binary64)) eps #s(literal 1 binary64)) eps) eps)) (-.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (-.f64 eps #s(literal 1 binary64))))) x #s(literal 2 binary64))) |
(/.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 2 binary64) eps) (*.f64 eps eps) #s(literal -2 binary64)) eps #s(literal 1 binary64)) eps) eps) |
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))) |
#s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64))) |
| Outputs |
|---|
1 |
(+ 1 (* 1/2 (* x (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))) |
(+ 1 (* x (+ (* 1/2 (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) (* 1/2 (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1)))))))) |
(+ 1 (* x (+ (* 1/2 (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))) (* x (+ (* 1/2 (* x (- (* 1/6 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3))) (* -1/6 (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))))) (* 1/2 (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))))))) |
2 |
(+ 2 (* x (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1)))))) |
(+ 2 (* x (- (+ (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))) (* (+ 1 (/ 1 eps)) (- eps 1))) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1)))))) |
(+ 2 (* x (- (+ (* x (- (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* x (- (* 1/6 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3))) (* -1/6 (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))) (* (+ 1 (/ 1 eps)) (- eps 1))) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1)))))) |
(+ 1 (/ 1 eps)) |
(+ 1 (+ (* x (* (+ 1 (/ 1 eps)) (- eps 1))) (/ 1 eps))) |
(+ 1 (+ (* x (+ (* 1/2 (* x (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2)))) (* (+ 1 (/ 1 eps)) (- eps 1)))) (/ 1 eps))) |
(+ 1 (+ (* x (+ (* x (+ (* 1/6 (* x (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3)))) (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))))) (* (+ 1 (/ 1 eps)) (- eps 1)))) (/ 1 eps))) |
(- (/ 1 eps) 1) |
(- (+ (* -1 (* x (* (+ 1 eps) (- (/ 1 eps) 1)))) (/ 1 eps)) 1) |
(- (+ (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (* 1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) (/ 1 eps)) 1) |
(- (+ (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (* x (+ (* -1/6 (* x (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))))) (/ 1 eps)) 1) |
-1 |
(- (* x (+ 1 eps)) 1) |
(- (* x (- (* -1 (* x (+ (* -1/2 (pow (+ 1 eps) 2)) (pow (+ 1 eps) 2)))) (* -1 (+ 1 eps)))) 1) |
(- (* x (- (* x (- (* -1 (* x (+ (* -1 (* (+ 1 eps) (+ (* -1/2 (pow (+ 1 eps) 2)) (pow (+ 1 eps) 2)))) (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/2 (pow (+ 1 eps) 3)))))) (+ (* -1/2 (pow (+ 1 eps) 2)) (pow (+ 1 eps) 2)))) (* -1 (+ 1 eps)))) 1) |
(+ 1 (* x (- eps 1))) |
(+ 1 (* x (- (+ eps (* 1/2 (* x (pow (- eps 1) 2)))) 1))) |
(+ 1 (* x (- (+ eps (* x (+ (* 1/6 (* x (pow (- eps 1) 3))) (* 1/2 (pow (- eps 1) 2))))) 1))) |
(* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1)))) |
(- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))) |
(* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) |
(* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1)) |
(/ -1 (exp (+ x (* eps x)))) |
(exp (- (* eps x) x)) |
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))) |
(- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))) |
(* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) |
(* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)) |
(/ -1 (exp (- (* eps x) (* -1 x)))) |
(exp (neg (* x (- 1 eps)))) |
0 |
(+ 1 eps) |
(* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) |
(+ (* 1/2 (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x)))))))) (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))))) |
(+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x)))))))) (* 1/2 (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x)))))))))) |
(+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/5040 (* (pow x 7) (exp (neg x)))) (* 1/720 (* (pow x 6) (exp (neg x))))) (+ (* -1/720 (* (pow x 6) (exp (neg x)))) (* -1/5040 (* (pow x 7) (exp (neg x)))))))) (* 1/2 (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x)))))))))))) |
(- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))) |
(- (+ (exp (neg x)) (+ (* x (exp (neg x))) (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))) |
(- (+ (exp (neg x)) (+ (* x (exp (neg x))) (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* (pow eps 2) (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x))))))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))) |
(- (+ (exp (neg x)) (+ (* x (exp (neg x))) (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* (pow eps 2) (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (+ (* 1/24 (* (pow x 4) (exp (neg x)))) (* (pow eps 2) (- (+ (* 1/5040 (* (pow x 7) (exp (neg x)))) (* 1/720 (* (pow x 6) (exp (neg x))))) (+ (* -1/720 (* (pow x 6) (exp (neg x)))) (* -1/5040 (* (pow x 7) (exp (neg x))))))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x))))))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))) |
(/ (exp (neg x)) eps) |
(/ (+ (exp (neg x)) (* eps (+ (exp (neg x)) (* x (exp (neg x)))))) eps) |
(/ (+ (exp (neg x)) (* eps (+ (exp (neg x)) (+ (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* x (exp (neg x))))) (* x (exp (neg x))))))) eps) |
(/ (+ (exp (neg x)) (* eps (+ (exp (neg x)) (+ (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (+ (* eps (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x)))))) (* x (exp (neg x)))))) (* x (exp (neg x))))))) eps) |
(/ 1 eps) |
(/ (+ 1 eps) eps) |
(/ -1 eps) |
(/ (- (pow eps 2) 1) eps) |
(- (* -1 eps) 1) |
(- (* eps (- eps 1)) 1) |
(- (* eps (- (* eps (+ 1 eps)) 1)) 1) |
(* -1 eps) |
(* eps (- (pow eps 2) 1)) |
(/ (- (* 2 eps) 1) eps) |
(/ (- (* eps (+ 2 (* -1 eps))) 1) eps) |
(/ (+ 1 (* -2 eps)) eps) |
(/ (+ 1 (* eps (- (* 2 (pow eps 2)) 2))) eps) |
(/ (+ 1 (* eps (- (* (pow eps 2) (+ 2 (* -1 eps))) 2))) eps) |
(/ (+ (exp (neg x)) (* eps (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) eps) |
(/ (+ (exp (neg x)) (* eps (+ (* -1 (exp (neg x))) (+ (* -1 (* x (exp (neg x)))) (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* x (exp (neg x))))))))) eps) |
(/ (+ (exp (neg x)) (* eps (+ (* -1 (exp (neg x))) (+ (* -1 (* x (exp (neg x)))) (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (+ (* eps (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x)))))) (* x (exp (neg x)))))))))) eps) |
(/ -1 (exp x)) |
(- (/ (* eps x) (exp x)) (/ 1 (exp x))) |
(- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (pow x 2) (exp x))) (/ (pow x 2) (exp x))))) (* -1 (/ x (exp x))))) (/ 1 (exp x))) |
(- (* eps (- (* eps (- (* -1 (* eps (+ (* -1 (* x (+ (* -1/2 (/ (pow x 2) (exp x))) (/ (pow x 2) (exp x))))) (+ (* -1/6 (/ (pow x 3) (exp x))) (* 1/2 (/ (pow x 3) (exp x))))))) (+ (* -1/2 (/ (pow x 2) (exp x))) (/ (pow x 2) (exp x))))) (* -1 (/ x (exp x))))) (/ 1 (exp x))) |
(/ 1 (pow eps 2)) |
(/ (+ 1 (* -2 eps)) (pow eps 2)) |
(/ (+ 1 (* eps (- (* 2 (pow eps 2)) 2))) (pow eps 2)) |
(/ (+ 1 (* eps (- (* (pow eps 2) (+ 2 (* -1 eps))) 2))) (pow eps 2)) |
(exp (neg x)) |
(+ (exp (neg x)) (* eps (* x (exp (neg x))))) |
(+ (exp (neg x)) (* eps (+ (* 1/2 (* eps (* (pow x 2) (exp (neg x))))) (* x (exp (neg x)))))) |
(+ (exp (neg x)) (* eps (+ (* eps (+ (* 1/6 (* eps (* (pow x 3) (exp (neg x))))) (* 1/2 (* (pow x 2) (exp (neg x)))))) (* x (exp (neg x)))))) |
eps |
(* eps (+ 1 (/ 1 eps))) |
(* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) |
(+ (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (* 1/2 (/ (- (exp (neg (* x (- 1 eps)))) (exp (neg (* x (+ 1 eps))))) eps))) |
(- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps)))))) |
(- (+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps)) (+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps))) |
(+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps)) |
(* eps (- 1 (/ 1 (pow eps 2)))) |
(pow eps 3) |
(* (pow eps 3) (+ 1 (/ 1 eps))) |
(* (pow eps 3) (- (+ 1 (/ 1 eps)) (/ 1 (pow eps 2)))) |
(* (pow eps 3) (+ 1 (+ (* -1 (/ (+ 1 (/ 1 eps)) (pow eps 2))) (/ 1 eps)))) |
(* (pow eps 3) (- 1 (/ 1 (pow eps 2)))) |
(* eps (- (* 2 (/ 1 eps)) 1)) |
(* eps (- (* 2 (/ 1 eps)) (+ 1 (/ 1 (pow eps 2))))) |
(* -1 (pow eps 3)) |
(* (pow eps 3) (- (* 2 (/ 1 eps)) 1)) |
(* (pow eps 3) (- (* 2 (/ 1 eps)) (+ 1 (/ 2 (pow eps 3))))) |
(* (pow eps 3) (- (+ (* 2 (/ 1 eps)) (/ 1 (pow eps 4))) (+ 1 (/ 2 (pow eps 3))))) |
(* -1 (exp (neg (* x (+ 1 eps))))) |
(+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps)) |
(* -1 (pow eps 2)) |
(* (pow eps 2) (- (* 2 (/ 1 eps)) 1)) |
(* (pow eps 2) (- (* 2 (/ 1 eps)) (+ 1 (/ 2 (pow eps 3))))) |
(* (pow eps 2) (- (+ (* 2 (/ 1 eps)) (/ 1 (pow eps 4))) (+ 1 (/ 2 (pow eps 3))))) |
(* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))) |
(+ (* -1/2 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps)) (* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))))) |
(- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) |
(- (+ (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) |
(exp (neg (* x (+ 1 (* -1 eps))))) |
(+ (exp (neg (* x (+ 1 (* -1 eps))))) (/ (exp (neg (* x (+ 1 (* -1 eps))))) eps)) |
(* -1 (* eps (- (/ 1 (pow eps 2)) 1))) |
(* -1 (* (pow eps 3) (- (* -1 (/ (- 1 (/ 1 eps)) eps)) 1))) |
(* -1 (* (pow eps 3) (- (* -1 (/ (+ 1 (* -1 (/ (+ 1 (/ 1 eps)) eps))) eps)) 1))) |
(* -1 (* (pow eps 3) (- (/ 1 (pow eps 2)) 1))) |
(* -1 (* eps (- 1 (* 2 (/ 1 eps))))) |
(* -1 (* eps (+ 1 (* -1 (/ (- 2 (/ 1 eps)) eps))))) |
(* -1 (* (pow eps 3) (- 1 (* 2 (/ 1 eps))))) |
(* -1 (* (pow eps 3) (+ 1 (* -1 (/ (- 2 (* 2 (/ 1 (pow eps 2)))) eps))))) |
(* -1 (* (pow eps 3) (+ 1 (* -1 (/ (- (+ 2 (/ 1 (pow eps 3))) (* 2 (/ 1 (pow eps 2)))) eps))))) |
(* -1 (exp (neg (* x (- 1 (* -1 eps)))))) |
(+ (* -1 (exp (neg (* x (- 1 (* -1 eps)))))) (/ (exp (neg (* x (- 1 (* -1 eps))))) eps)) |
(* (pow eps 2) (- (* -1 (/ (- (* 2 (/ 1 (pow eps 2))) 2) eps)) 1)) |
(* (pow eps 2) (- (* -1 (/ (- (* 2 (/ 1 (pow eps 2))) (+ 2 (/ 1 (pow eps 3)))) eps)) 1)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 45.0ms | eps | @ | 0 | ((+ (* (- (/ 1 eps) 1) (/ (+ (* eps eps) -1) (- eps 1))) (* (- eps 1) (+ (/ 1 eps) 1))) (/ (+ (* eps eps) -1) (- eps 1)) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/ (- eps -1) eps) (/ (+ (+ (* eps eps) -1) (* eps (+ (* eps eps) -1))) (+ (* eps eps) eps)) (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (/ (+ (+ (* eps eps) -1) (* eps (+ (* eps eps) -1))) (+ (* eps eps) eps))) (+ (+ (* eps eps) -1) (* eps (+ (* eps eps) -1))) (* eps (+ (* eps eps) -1)) (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (/ (- (* (/ (- eps 1) eps) (/ (- eps 1) eps)) (* (- eps 1) (- eps 1))) (- (/ (- eps 1) eps) (- eps 1)))) (- (/ (- eps 1) eps) (- eps 1)) (/ (+ (* (+ (* (- 2 eps) (* eps eps)) -2) eps) 1) eps) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+ 1 (/ 1 eps)) (* (- eps 1) (+ (/ 1 eps) 1)) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/ -1 (exp (+ (* x eps) x))) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (/ (- (* (/ (- eps 1) eps) (/ (- eps 1) eps)) (* (- eps 1) (- eps 1))) (- (/ (- eps 1) eps) (- eps 1))) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (/ (/ (+ (* (+ (* (- 2 eps) (* eps eps)) -2) eps) 1) eps) eps) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (exp (neg (* (- 1 eps) x)))) |
| 14.0ms | eps | @ | -inf | ((+ (* (- (/ 1 eps) 1) (/ (+ (* eps eps) -1) (- eps 1))) (* (- eps 1) (+ (/ 1 eps) 1))) (/ (+ (* eps eps) -1) (- eps 1)) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/ (- eps -1) eps) (/ (+ (+ (* eps eps) -1) (* eps (+ (* eps eps) -1))) (+ (* eps eps) eps)) (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (/ (+ (+ (* eps eps) -1) (* eps (+ (* eps eps) -1))) (+ (* eps eps) eps))) (+ (+ (* eps eps) -1) (* eps (+ (* eps eps) -1))) (* eps (+ (* eps eps) -1)) (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (/ (- (* (/ (- eps 1) eps) (/ (- eps 1) eps)) (* (- eps 1) (- eps 1))) (- (/ (- eps 1) eps) (- eps 1)))) (- (/ (- eps 1) eps) (- eps 1)) (/ (+ (* (+ (* (- 2 eps) (* eps eps)) -2) eps) 1) eps) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+ 1 (/ 1 eps)) (* (- eps 1) (+ (/ 1 eps) 1)) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/ -1 (exp (+ (* x eps) x))) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (/ (- (* (/ (- eps 1) eps) (/ (- eps 1) eps)) (* (- eps 1) (- eps 1))) (- (/ (- eps 1) eps) (- eps 1))) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (/ (/ (+ (* (+ (* (- 2 eps) (* eps eps)) -2) eps) 1) eps) eps) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (exp (neg (* (- 1 eps) x)))) |
| 8.0ms | eps | @ | inf | ((+ (* (- (/ 1 eps) 1) (/ (+ (* eps eps) -1) (- eps 1))) (* (- eps 1) (+ (/ 1 eps) 1))) (/ (+ (* eps eps) -1) (- eps 1)) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/ (- eps -1) eps) (/ (+ (+ (* eps eps) -1) (* eps (+ (* eps eps) -1))) (+ (* eps eps) eps)) (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (/ (+ (+ (* eps eps) -1) (* eps (+ (* eps eps) -1))) (+ (* eps eps) eps))) (+ (+ (* eps eps) -1) (* eps (+ (* eps eps) -1))) (* eps (+ (* eps eps) -1)) (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (/ (- (* (/ (- eps 1) eps) (/ (- eps 1) eps)) (* (- eps 1) (- eps 1))) (- (/ (- eps 1) eps) (- eps 1)))) (- (/ (- eps 1) eps) (- eps 1)) (/ (+ (* (+ (* (- 2 eps) (* eps eps)) -2) eps) 1) eps) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+ 1 (/ 1 eps)) (* (- eps 1) (+ (/ 1 eps) 1)) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/ -1 (exp (+ (* x eps) x))) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (/ (- (* (/ (- eps 1) eps) (/ (- eps 1) eps)) (* (- eps 1) (- eps 1))) (- (/ (- eps 1) eps) (- eps 1))) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (/ (/ (+ (* (+ (* (- 2 eps) (* eps eps)) -2) eps) 1) eps) eps) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (exp (neg (* (- 1 eps) x)))) |
| 2.0ms | x | @ | 0 | ((+ (* (- (/ 1 eps) 1) (/ (+ (* eps eps) -1) (- eps 1))) (* (- eps 1) (+ (/ 1 eps) 1))) (/ (+ (* eps eps) -1) (- eps 1)) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/ (- eps -1) eps) (/ (+ (+ (* eps eps) -1) (* eps (+ (* eps eps) -1))) (+ (* eps eps) eps)) (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (/ (+ (+ (* eps eps) -1) (* eps (+ (* eps eps) -1))) (+ (* eps eps) eps))) (+ (+ (* eps eps) -1) (* eps (+ (* eps eps) -1))) (* eps (+ (* eps eps) -1)) (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (/ (- (* (/ (- eps 1) eps) (/ (- eps 1) eps)) (* (- eps 1) (- eps 1))) (- (/ (- eps 1) eps) (- eps 1)))) (- (/ (- eps 1) eps) (- eps 1)) (/ (+ (* (+ (* (- 2 eps) (* eps eps)) -2) eps) 1) eps) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+ 1 (/ 1 eps)) (* (- eps 1) (+ (/ 1 eps) 1)) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/ -1 (exp (+ (* x eps) x))) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (/ (- (* (/ (- eps 1) eps) (/ (- eps 1) eps)) (* (- eps 1) (- eps 1))) (- (/ (- eps 1) eps) (- eps 1))) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (/ (/ (+ (* (+ (* (- 2 eps) (* eps eps)) -2) eps) 1) eps) eps) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (exp (neg (* (- 1 eps) x)))) |
| 2.0ms | x | @ | inf | ((+ (* (- (/ 1 eps) 1) (/ (+ (* eps eps) -1) (- eps 1))) (* (- eps 1) (+ (/ 1 eps) 1))) (/ (+ (* eps eps) -1) (- eps 1)) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/ (- eps -1) eps) (/ (+ (+ (* eps eps) -1) (* eps (+ (* eps eps) -1))) (+ (* eps eps) eps)) (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (/ (+ (+ (* eps eps) -1) (* eps (+ (* eps eps) -1))) (+ (* eps eps) eps))) (+ (+ (* eps eps) -1) (* eps (+ (* eps eps) -1))) (* eps (+ (* eps eps) -1)) (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (/ (- (* (/ (- eps 1) eps) (/ (- eps 1) eps)) (* (- eps 1) (- eps 1))) (- (/ (- eps 1) eps) (- eps 1)))) (- (/ (- eps 1) eps) (- eps 1)) (/ (+ (* (+ (* (- 2 eps) (* eps eps)) -2) eps) 1) eps) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+ 1 (/ 1 eps)) (* (- eps 1) (+ (/ 1 eps) 1)) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/ -1 (exp (+ (* x eps) x))) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (/ (- (* (/ (- eps 1) eps) (/ (- eps 1) eps)) (* (- eps 1) (- eps 1))) (- (/ (- eps 1) eps) (- eps 1))) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (/ (/ (+ (* (+ (* (- 2 eps) (* eps eps)) -2) eps) 1) eps) eps) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (exp (neg (* (- 1 eps) x)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 499 | 2713 |
| 1 | 1690 | 2427 |
| 0 | 8288 | 2301 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (* 1/2 (* x (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))) |
(+ 1 (* x (+ (* 1/2 (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) (* 1/2 (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1)))))))) |
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2 |
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(+ 1 (/ 1 eps)) |
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(+ 1 (+ (* x (+ (* 1/2 (* x (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2)))) (* (+ 1 (/ 1 eps)) (- eps 1)))) (/ 1 eps))) |
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(- (/ 1 eps) 1) |
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-1 |
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(- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))) |
(* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) |
(* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1)) |
(/ -1 (exp (+ x (* eps x)))) |
(exp (- (* eps x) x)) |
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))) |
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(* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) |
(* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)) |
(/ -1 (exp (- (* eps x) (* -1 x)))) |
(exp (neg (* x (- 1 eps)))) |
0 |
(+ 1 eps) |
(* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) |
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(/ (exp (neg x)) eps) |
(/ (+ (exp (neg x)) (* eps (+ (exp (neg x)) (* x (exp (neg x)))))) eps) |
(/ (+ (exp (neg x)) (* eps (+ (exp (neg x)) (+ (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* x (exp (neg x))))) (* x (exp (neg x))))))) eps) |
(/ (+ (exp (neg x)) (* eps (+ (exp (neg x)) (+ (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (+ (* eps (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x)))))) (* x (exp (neg x)))))) (* x (exp (neg x))))))) eps) |
(/ 1 eps) |
(/ (+ 1 eps) eps) |
(/ -1 eps) |
(/ (- (pow eps 2) 1) eps) |
(- (* -1 eps) 1) |
(- (* eps (- eps 1)) 1) |
(- (* eps (- (* eps (+ 1 eps)) 1)) 1) |
(* -1 eps) |
(* eps (- (pow eps 2) 1)) |
(/ (- (* 2 eps) 1) eps) |
(/ (- (* eps (+ 2 (* -1 eps))) 1) eps) |
(/ (+ 1 (* -2 eps)) eps) |
(/ (+ 1 (* eps (- (* 2 (pow eps 2)) 2))) eps) |
(/ (+ 1 (* eps (- (* (pow eps 2) (+ 2 (* -1 eps))) 2))) eps) |
(/ (+ (exp (neg x)) (* eps (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) eps) |
(/ (+ (exp (neg x)) (* eps (+ (* -1 (exp (neg x))) (+ (* -1 (* x (exp (neg x)))) (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* x (exp (neg x))))))))) eps) |
(/ (+ (exp (neg x)) (* eps (+ (* -1 (exp (neg x))) (+ (* -1 (* x (exp (neg x)))) (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (+ (* eps (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x)))))) (* x (exp (neg x)))))))))) eps) |
(/ -1 (exp x)) |
(- (/ (* eps x) (exp x)) (/ 1 (exp x))) |
(- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (pow x 2) (exp x))) (/ (pow x 2) (exp x))))) (* -1 (/ x (exp x))))) (/ 1 (exp x))) |
(- (* eps (- (* eps (- (* -1 (* eps (+ (* -1 (* x (+ (* -1/2 (/ (pow x 2) (exp x))) (/ (pow x 2) (exp x))))) (+ (* -1/6 (/ (pow x 3) (exp x))) (* 1/2 (/ (pow x 3) (exp x))))))) (+ (* -1/2 (/ (pow x 2) (exp x))) (/ (pow x 2) (exp x))))) (* -1 (/ x (exp x))))) (/ 1 (exp x))) |
(/ 1 (pow eps 2)) |
(/ (+ 1 (* -2 eps)) (pow eps 2)) |
(/ (+ 1 (* eps (- (* 2 (pow eps 2)) 2))) (pow eps 2)) |
(/ (+ 1 (* eps (- (* (pow eps 2) (+ 2 (* -1 eps))) 2))) (pow eps 2)) |
(exp (neg x)) |
(+ (exp (neg x)) (* eps (* x (exp (neg x))))) |
(+ (exp (neg x)) (* eps (+ (* 1/2 (* eps (* (pow x 2) (exp (neg x))))) (* x (exp (neg x)))))) |
(+ (exp (neg x)) (* eps (+ (* eps (+ (* 1/6 (* eps (* (pow x 3) (exp (neg x))))) (* 1/2 (* (pow x 2) (exp (neg x)))))) (* x (exp (neg x)))))) |
eps |
(* eps (+ 1 (/ 1 eps))) |
(* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) |
(+ (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (* 1/2 (/ (- (exp (neg (* x (- 1 eps)))) (exp (neg (* x (+ 1 eps))))) eps))) |
(- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps)))))) |
(- (+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps)) (+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps))) |
(+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps)) |
(* eps (- 1 (/ 1 (pow eps 2)))) |
(pow eps 3) |
(* (pow eps 3) (+ 1 (/ 1 eps))) |
(* (pow eps 3) (- (+ 1 (/ 1 eps)) (/ 1 (pow eps 2)))) |
(* (pow eps 3) (+ 1 (+ (* -1 (/ (+ 1 (/ 1 eps)) (pow eps 2))) (/ 1 eps)))) |
(* (pow eps 3) (- 1 (/ 1 (pow eps 2)))) |
(* eps (- (* 2 (/ 1 eps)) 1)) |
(* eps (- (* 2 (/ 1 eps)) (+ 1 (/ 1 (pow eps 2))))) |
(* -1 (pow eps 3)) |
(* (pow eps 3) (- (* 2 (/ 1 eps)) 1)) |
(* (pow eps 3) (- (* 2 (/ 1 eps)) (+ 1 (/ 2 (pow eps 3))))) |
(* (pow eps 3) (- (+ (* 2 (/ 1 eps)) (/ 1 (pow eps 4))) (+ 1 (/ 2 (pow eps 3))))) |
(* -1 (exp (neg (* x (+ 1 eps))))) |
(+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps)) |
(* -1 (pow eps 2)) |
(* (pow eps 2) (- (* 2 (/ 1 eps)) 1)) |
(* (pow eps 2) (- (* 2 (/ 1 eps)) (+ 1 (/ 2 (pow eps 3))))) |
(* (pow eps 2) (- (+ (* 2 (/ 1 eps)) (/ 1 (pow eps 4))) (+ 1 (/ 2 (pow eps 3))))) |
(* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))) |
(+ (* -1/2 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps)) (* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))))) |
(- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) |
(- (+ (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) |
(exp (neg (* x (+ 1 (* -1 eps))))) |
(+ (exp (neg (* x (+ 1 (* -1 eps))))) (/ (exp (neg (* x (+ 1 (* -1 eps))))) eps)) |
(* -1 (* eps (- (/ 1 (pow eps 2)) 1))) |
(* -1 (* (pow eps 3) (- (* -1 (/ (- 1 (/ 1 eps)) eps)) 1))) |
(* -1 (* (pow eps 3) (- (* -1 (/ (+ 1 (* -1 (/ (+ 1 (/ 1 eps)) eps))) eps)) 1))) |
(* -1 (* (pow eps 3) (- (/ 1 (pow eps 2)) 1))) |
(* -1 (* eps (- 1 (* 2 (/ 1 eps))))) |
(* -1 (* eps (+ 1 (* -1 (/ (- 2 (/ 1 eps)) eps))))) |
(* -1 (* (pow eps 3) (- 1 (* 2 (/ 1 eps))))) |
(* -1 (* (pow eps 3) (+ 1 (* -1 (/ (- 2 (* 2 (/ 1 (pow eps 2)))) eps))))) |
(* -1 (* (pow eps 3) (+ 1 (* -1 (/ (- (+ 2 (/ 1 (pow eps 3))) (* 2 (/ 1 (pow eps 2)))) eps))))) |
(* -1 (exp (neg (* x (- 1 (* -1 eps)))))) |
(+ (* -1 (exp (neg (* x (- 1 (* -1 eps)))))) (/ (exp (neg (* x (- 1 (* -1 eps))))) eps)) |
(* (pow eps 2) (- (* -1 (/ (- (* 2 (/ 1 (pow eps 2))) 2) eps)) 1)) |
(* (pow eps 2) (- (* -1 (/ (- (* 2 (/ 1 (pow eps 2))) (+ 2 (/ 1 (pow eps 3)))) eps)) 1)) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (* x (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64)))) #s(literal 1 binary64)) |
(+ 1 (* x (+ (* 1/2 (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) (* 1/2 (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1)))))))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (pow.f64 (-.f64 eps #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) eps) #s(literal 1/2 binary64)) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64)))) x (fma.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64))))) #s(literal 1 binary64)) |
(+ 1 (* x (+ (* 1/2 (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))) (* x (+ (* 1/2 (* x (- (* 1/6 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3))) (* -1/6 (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))))) (* 1/2 (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 (-.f64 eps #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (fma.f64 (*.f64 #s(literal 1/6 binary64) (fma.f64 (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (*.f64 (pow.f64 (-.f64 eps #s(literal -1 binary64)) #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))) x (*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) eps) #s(literal 1/2 binary64)) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64))))) (*.f64 (fma.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64)))) #s(literal 1/2 binary64))) x #s(literal 1 binary64)) |
2 |
#s(literal 2 binary64) |
(+ 2 (* x (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1)))))) |
(fma.f64 (fma.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64)))) x #s(literal 2 binary64)) |
(+ 2 (* x (- (+ (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))) (* (+ 1 (/ 1 eps)) (- eps 1))) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1)))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (pow.f64 (-.f64 eps #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) eps) #s(literal 1/2 binary64)) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64)))) x (fma.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64))))) x #s(literal 2 binary64)) |
(+ 2 (* x (- (+ (* x (- (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* x (- (* 1/6 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3))) (* -1/6 (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))) (* (+ 1 (/ 1 eps)) (- eps 1))) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 (-.f64 eps #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (fma.f64 (*.f64 #s(literal 1/6 binary64) (fma.f64 (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (*.f64 (pow.f64 (-.f64 eps #s(literal -1 binary64)) #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))) x (*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) eps) #s(literal 1/2 binary64)) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64))))) x (fma.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64))))) x #s(literal 2 binary64)) |
(+ 1 (/ 1 eps)) |
(+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) |
(+ 1 (+ (* x (* (+ 1 (/ 1 eps)) (- eps 1))) (/ 1 eps))) |
(fma.f64 (fma.f64 x (/.f64 #s(literal 1 binary64) eps) x) (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) |
(+ 1 (+ (* x (+ (* 1/2 (* x (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2)))) (* (+ 1 (/ 1 eps)) (- eps 1)))) (/ 1 eps))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 #s(literal 1 binary64) eps) x)) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64)))) x (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) |
(+ 1 (+ (* x (+ (* x (+ (* 1/6 (* x (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3)))) (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))))) (* (+ 1 (/ 1 eps)) (- eps 1)))) (/ 1 eps))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (fma.f64 x (/.f64 #s(literal 1 binary64) eps) x)) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 3 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) eps) #s(literal 1/2 binary64)) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64)))) x (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64)))) x (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) |
(- (/ 1 eps) 1) |
(-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) |
(- (+ (* -1 (* x (* (+ 1 eps) (- (/ 1 eps) 1)))) (/ 1 eps)) 1) |
(fma.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) |
(- (+ (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (* 1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) (/ 1 eps)) 1) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (pow.f64 (-.f64 eps #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) x (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) |
(- (+ (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (* x (+ (* -1/6 (* x (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))))) (/ 1 eps)) 1) |
(fma.f64 (fma.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (pow.f64 (-.f64 eps #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 (-.f64 eps #s(literal -1 binary64)) #s(literal 3 binary64)) x)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) x)) x (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) |
-1 |
#s(literal -1 binary64) |
(- (* x (+ 1 eps)) 1) |
(-.f64 (fma.f64 x eps x) #s(literal 1 binary64)) |
(- (* x (- (* -1 (* x (+ (* -1/2 (pow (+ 1 eps) 2)) (pow (+ 1 eps) 2)))) (* -1 (+ 1 eps)))) 1) |
(-.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (-.f64 eps #s(literal -1 binary64)) #s(literal 2 binary64))) x (-.f64 eps #s(literal -1 binary64))) x) #s(literal 1 binary64)) |
(- (* x (- (* x (- (* -1 (* x (+ (* -1 (* (+ 1 eps) (+ (* -1/2 (pow (+ 1 eps) 2)) (pow (+ 1 eps) 2)))) (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/2 (pow (+ 1 eps) 3)))))) (+ (* -1/2 (pow (+ 1 eps) 2)) (pow (+ 1 eps) 2)))) (* -1 (+ 1 eps)))) 1) |
(-.f64 (*.f64 (fma.f64 (fma.f64 (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (-.f64 eps #s(literal -1 binary64)) #s(literal 3 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (-.f64 eps #s(literal -1 binary64)) #s(literal 3 binary64)))) (*.f64 #s(literal -1/2 binary64) (pow.f64 (-.f64 eps #s(literal -1 binary64)) #s(literal 2 binary64)))) x (-.f64 eps #s(literal -1 binary64))) x) #s(literal 1 binary64)) |
(+ 1 (* x (- eps 1))) |
(fma.f64 x (-.f64 eps #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* x (- (+ eps (* 1/2 (* x (pow (- eps 1) 2)))) 1))) |
(fma.f64 (fma.f64 (*.f64 (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64)) x) #s(literal 1/2 binary64) (-.f64 eps #s(literal 1 binary64))) x #s(literal 1 binary64)) |
(+ 1 (* x (- (+ eps (* x (+ (* 1/6 (* x (pow (- eps 1) 3))) (* 1/2 (pow (- eps 1) 2))))) 1))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 3 binary64)) x) #s(literal 1/6 binary64) (*.f64 (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) x (-.f64 eps #s(literal 1 binary64))) x #s(literal 1 binary64)) |
(* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1)))) |
(*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (*.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 1/2 binary64)) |
(- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (*.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) |
(* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) |
(*.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) |
(* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1)) |
(*.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) |
(/ -1 (exp (+ x (* eps x)))) |
(/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))) |
(exp (- (* eps x) x)) |
(exp.f64 (-.f64 (*.f64 x eps) x)) |
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))) |
(*.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal -1 binary64) eps)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (*.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 1/2 binary64)) |
(- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))) |
(-.f64 (*.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal -1 binary64) eps)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (*.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) |
(* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) |
(*.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal -1 binary64) eps)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) |
(* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)) |
(*.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) |
(/ -1 (exp (- (* eps x) (* -1 x)))) |
(/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))) |
(exp (neg (* x (- 1 eps)))) |
(pow.f64 (exp.f64 x) (+.f64 #s(literal -1 binary64) eps)) |
0 |
#s(literal 0 binary64) |
(+ 1 eps) |
(-.f64 eps #s(literal -1 binary64)) |
(* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) |
(*.f64 (fma.f64 (exp.f64 (neg.f64 x)) (-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 x (exp.f64 x))) #s(literal 1/2 binary64)) |
(+ (* 1/2 (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x)))))))) (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))))) |
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(+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x)))))))) (* 1/2 (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x)))))))))) |
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(*.f64 (-.f64 (/.f64 #s(literal 2 binary64) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 3 binary64))) |
(* (pow eps 3) (- (* 2 (/ 1 eps)) (+ 1 (/ 2 (pow eps 3))))) |
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) eps) eps)) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 3 binary64))) |
(* (pow eps 3) (- (+ (* 2 (/ 1 eps)) (/ 1 (pow eps 4))) (+ 1 (/ 2 (pow eps 3))))) |
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 4 binary64))) (/.f64 #s(literal -2 binary64) eps)) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 eps #s(literal 3 binary64))) #s(literal 1 binary64))) (pow.f64 eps #s(literal 3 binary64))) |
(* -1 (exp (neg (* x (+ 1 eps))))) |
(/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))) |
(+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps)) |
(-.f64 (/.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps)) eps) (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps))) |
(* -1 (pow eps 2)) |
(*.f64 (neg.f64 eps) eps) |
(* (pow eps 2) (- (* 2 (/ 1 eps)) 1)) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) eps) #s(literal 1 binary64)) eps) eps) |
(* (pow eps 2) (- (* 2 (/ 1 eps)) (+ 1 (/ 2 (pow eps 3))))) |
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) eps) eps)) eps) #s(literal 1 binary64)) (*.f64 eps eps)) |
(* (pow eps 2) (- (+ (* 2 (/ 1 eps)) (/ 1 (pow eps 4))) (+ 1 (/ 2 (pow eps 3))))) |
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 4 binary64))) (/.f64 #s(literal -2 binary64) eps)) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 eps #s(literal 3 binary64))) #s(literal 1 binary64))) (*.f64 eps eps)) |
(* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))) |
(*.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps)) (pow.f64 (exp.f64 x) (+.f64 #s(literal -1 binary64) eps))) #s(literal 1/2 binary64)) |
(+ (* -1/2 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps)) (* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))))) |
(*.f64 (+.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal -1 binary64) eps)) (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps))) eps) (+.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps)) (pow.f64 (exp.f64 x) (+.f64 #s(literal -1 binary64) eps)))) #s(literal 1/2 binary64)) |
(- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) |
(+.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps)) (pow.f64 (exp.f64 x) (+.f64 #s(literal -1 binary64) eps))) |
(- (+ (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) |
(+.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps)) (-.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal -1 binary64) eps)) (/.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal -1 binary64) eps)) #s(literal -1 binary64) (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps))) eps))) |
(exp (neg (* x (+ 1 (* -1 eps))))) |
(pow.f64 (exp.f64 x) (+.f64 #s(literal -1 binary64) eps)) |
(+ (exp (neg (* x (+ 1 (* -1 eps))))) (/ (exp (neg (* x (+ 1 (* -1 eps))))) eps)) |
(*.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal -1 binary64) eps)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) |
(* -1 (* eps (- (/ 1 (pow eps 2)) 1))) |
(*.f64 (neg.f64 eps) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) eps) eps) #s(literal 1 binary64))) |
(* -1 (* (pow eps 3) (- (* -1 (/ (- 1 (/ 1 eps)) eps)) 1))) |
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (neg.f64 eps)) #s(literal 1 binary64)) (pow.f64 (neg.f64 eps) #s(literal 3 binary64))) |
(* -1 (* (pow eps 3) (- (* -1 (/ (+ 1 (* -1 (/ (+ 1 (/ 1 eps)) eps))) eps)) 1))) |
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) eps)) (neg.f64 eps)) #s(literal 1 binary64)) (pow.f64 (neg.f64 eps) #s(literal 3 binary64))) |
(* -1 (* (pow eps 3) (- (/ 1 (pow eps 2)) 1))) |
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) eps) eps) #s(literal 1 binary64)) (pow.f64 (neg.f64 eps) #s(literal 3 binary64))) |
(* -1 (* eps (- 1 (* 2 (/ 1 eps))))) |
(-.f64 #s(literal 2 binary64) eps) |
(* -1 (* eps (+ 1 (* -1 (/ (- 2 (/ 1 eps)) eps))))) |
(*.f64 (neg.f64 eps) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) eps))) |
(* -1 (* (pow eps 3) (- 1 (* 2 (/ 1 eps))))) |
(neg.f64 (*.f64 (+.f64 eps #s(literal -2 binary64)) (*.f64 eps eps))) |
(* -1 (* (pow eps 3) (+ 1 (* -1 (/ (- 2 (* 2 (/ 1 (pow eps 2)))) eps))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) eps) eps)) eps)) (pow.f64 (neg.f64 eps) #s(literal 3 binary64))) |
(* -1 (* (pow eps 3) (+ 1 (* -1 (/ (- (+ 2 (/ 1 (pow eps 3))) (* 2 (/ 1 (pow eps 2)))) eps))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))) #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) eps) eps)) eps)) (pow.f64 (neg.f64 eps) #s(literal 3 binary64))) |
(* -1 (exp (neg (* x (- 1 (* -1 eps)))))) |
(/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))) |
(+ (* -1 (exp (neg (* x (- 1 (* -1 eps)))))) (/ (exp (neg (* x (- 1 (* -1 eps))))) eps)) |
(-.f64 (/.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps)) eps) (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps))) |
(* (pow eps 2) (- (* -1 (/ (- (* 2 (/ 1 (pow eps 2))) 2) eps)) 1)) |
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) eps) eps) #s(literal 2 binary64)) (neg.f64 eps)) #s(literal 1 binary64)) (*.f64 eps eps)) |
(* (pow eps 2) (- (* -1 (/ (- (* 2 (/ 1 (pow eps 2))) (+ 2 (/ 1 (pow eps 3)))) eps)) 1)) |
(*.f64 (-.f64 (/.f64 (-.f64 (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) eps) eps) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (neg.f64 eps)) #s(literal 1 binary64)) (*.f64 eps eps)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 82 | 886 |
| 0 | 135 | 850 |
| 1 | 584 | 762 |
| 0 | 5644 | 762 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (/.f64 (fma.f64 eps eps #s(literal -1 binary64)) (-.f64 eps #s(literal 1 binary64))) #s(approx (* (- eps 1) (+ (/ 1 eps) 1)) (-.f64 eps (/.f64 #s(literal 1 binary64) eps)))) |
(/.f64 (fma.f64 eps eps #s(literal -1 binary64)) (-.f64 eps #s(literal 1 binary64))) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (/.f64 (fma.f64 eps eps #s(literal -1 binary64)) (-.f64 eps #s(literal 1 binary64))) #s(approx (* (- eps 1) (+ (/ 1 eps) 1)) (-.f64 eps (/.f64 #s(literal 1 binary64) eps)))) x #s(literal 2 binary64))) #s(literal 2 binary64)) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (/.f64 (fma.f64 eps eps #s(literal -1 binary64)) (-.f64 eps #s(literal 1 binary64))) #s(approx (* (- eps 1) (+ (/ 1 eps) 1)) (-.f64 eps (/.f64 #s(literal 1 binary64) eps)))) x #s(literal 2 binary64))) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (-.f64 eps #s(literal -1 binary64)) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (/ -1 (exp (+ (* x eps) x))) #s(literal -1 binary64)))) #s(literal 2 binary64)) |
(-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (-.f64 eps #s(literal -1 binary64)) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (/ -1 (exp (+ (* x eps) x))) #s(literal -1 binary64)))) |
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (-.f64 eps #s(literal -1 binary64)) eps)) |
(/.f64 (-.f64 eps #s(literal -1 binary64)) eps) |
(/.f64 (+.f64 (fma.f64 eps eps #s(literal -1 binary64)) (*.f64 eps (fma.f64 eps eps #s(literal -1 binary64)))) (fma.f64 eps eps eps)) |
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (/.f64 (+.f64 (fma.f64 eps eps #s(literal -1 binary64)) (*.f64 eps (fma.f64 eps eps #s(literal -1 binary64)))) (fma.f64 eps eps eps))) |
(+.f64 (fma.f64 eps eps #s(literal -1 binary64)) (*.f64 eps (fma.f64 eps eps #s(literal -1 binary64)))) |
(*.f64 eps (fma.f64 eps eps #s(literal -1 binary64))) |
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (/.f64 #s(approx (- (* (/ (- eps 1) eps) (/ (- eps 1) eps)) (* (- eps 1) (- eps 1))) (/.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 2 binary64) eps) (*.f64 eps eps) #s(literal -2 binary64)) eps #s(literal 1 binary64)) eps) eps)) (-.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (-.f64 eps #s(literal 1 binary64))))) |
(-.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (-.f64 eps #s(literal 1 binary64))) |
(/.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 2 binary64) eps) (*.f64 eps eps) #s(literal -2 binary64)) eps #s(literal 1 binary64)) eps) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (/.f64 #s(approx (- (* (/ (- eps 1) eps) (/ (- eps 1) eps)) (* (- eps 1) (- eps 1))) (/.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 2 binary64) eps) (*.f64 eps eps) #s(literal -2 binary64)) eps #s(literal 1 binary64)) eps) eps)) (-.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (-.f64 eps #s(literal 1 binary64))))) x #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))))) #s(literal 2 binary64)) |
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) |
#s(approx (* (- eps 1) (+ (/ 1 eps) 1)) (-.f64 eps (/.f64 #s(literal 1 binary64) eps))) |
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (/ -1 (exp (+ (* x eps) x))) #s(literal -1 binary64))) |
#s(approx (/ -1 (exp (+ (* x eps) x))) #s(literal -1 binary64)) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (/.f64 (+.f64 (fma.f64 eps eps #s(literal -1 binary64)) (*.f64 eps (fma.f64 eps eps #s(literal -1 binary64)))) (fma.f64 eps eps eps))) x #s(literal 2 binary64))) |
(/.f64 #s(approx (- (* (/ (- eps 1) eps) (/ (- eps 1) eps)) (* (- eps 1) (- eps 1))) (/.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 2 binary64) eps) (*.f64 eps eps) #s(literal -2 binary64)) eps #s(literal 1 binary64)) eps) eps)) (-.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (-.f64 eps #s(literal 1 binary64)))) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (/.f64 #s(approx (- (* (/ (- eps 1) eps) (/ (- eps 1) eps)) (* (- eps 1) (- eps 1))) (/.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 2 binary64) eps) (*.f64 eps eps) #s(literal -2 binary64)) eps #s(literal 1 binary64)) eps) eps)) (-.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (-.f64 eps #s(literal 1 binary64))))) x #s(literal 2 binary64))) |
(/.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 2 binary64) eps) (*.f64 eps eps) #s(literal -2 binary64)) eps #s(literal 1 binary64)) eps) eps) |
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))) |
#s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64))) |
| Outputs |
|---|
(/.f64 (-.f64 (pow.f64 #s(approx (* (- eps 1) (+ (/ 1 eps) 1)) (-.f64 eps (pow.f64 eps #s(literal -1 binary64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))) (-.f64 #s(approx (* (- eps 1) (+ (/ 1 eps) 1)) (-.f64 eps (pow.f64 eps #s(literal -1 binary64)))) (*.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 #s(approx (* (- eps 1) (+ (/ 1 eps) 1)) (-.f64 eps (pow.f64 eps #s(literal -1 binary64)))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) #s(approx (* (- eps 1) (+ (/ 1 eps) 1)) (-.f64 eps (pow.f64 eps #s(literal -1 binary64))))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (* (- eps 1) (+ (/ 1 eps) 1)) (-.f64 eps (pow.f64 eps #s(literal -1 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(approx (* (- eps 1) (+ (/ 1 eps) 1)) (-.f64 eps (pow.f64 eps #s(literal -1 binary64)))) (-.f64 #s(approx (* (- eps 1) (+ (/ 1 eps) 1)) (-.f64 eps (pow.f64 eps #s(literal -1 binary64)))) (*.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)))) (pow.f64 (*.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 #s(approx (* (- eps 1) (+ (/ 1 eps) 1)) (-.f64 eps (pow.f64 eps #s(literal -1 binary64)))) #s(literal 2 binary64))) (-.f64 (*.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) #s(approx (* (- eps 1) (+ (/ 1 eps) 1)) (-.f64 eps (pow.f64 eps #s(literal -1 binary64)))))) |
(/.f64 (+.f64 (pow.f64 #s(approx (* (- eps 1) (+ (/ 1 eps) 1)) (-.f64 eps (pow.f64 eps #s(literal -1 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 #s(approx (* (- eps 1) (+ (/ 1 eps) 1)) (-.f64 eps (pow.f64 eps #s(literal -1 binary64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) #s(approx (* (- eps 1) (+ (/ 1 eps) 1)) (-.f64 eps (pow.f64 eps #s(literal -1 binary64)))))))) |
(/.f64 (+.f64 (pow.f64 #s(approx (* (- eps 1) (+ (/ 1 eps) 1)) (-.f64 eps (pow.f64 eps #s(literal -1 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 #s(approx (* (- eps 1) (+ (/ 1 eps) 1)) (-.f64 eps (pow.f64 eps #s(literal -1 binary64)))) (-.f64 #s(approx (* (- eps 1) (+ (/ 1 eps) 1)) (-.f64 eps (pow.f64 eps #s(literal -1 binary64)))) (*.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)))) (pow.f64 (*.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)))) |
(fma.f64 (/.f64 (*.f64 (fma.f64 eps eps #s(literal -1 binary64)) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (fma.f64 eps eps #s(literal -1 binary64))) (-.f64 eps #s(literal -1 binary64)) #s(approx (* (- eps 1) (+ (/ 1 eps) 1)) (-.f64 eps (pow.f64 eps #s(literal -1 binary64))))) |
(fma.f64 (/.f64 (*.f64 (fma.f64 eps eps #s(literal -1 binary64)) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 eps eps (-.f64 eps #s(literal -1 binary64))) #s(approx (* (- eps 1) (+ (/ 1 eps) 1)) (-.f64 eps (pow.f64 eps #s(literal -1 binary64))))) |
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(+.f64 (*.f64 #s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 x (-.f64 eps #s(literal 1 binary64)) #s(literal 1 binary64))) (pow.f64 eps #s(literal -1 binary64))) (*.f64 #s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 x (-.f64 eps #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))) |
(+.f64 (*.f64 #s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 x (-.f64 eps #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (*.f64 #s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 x (-.f64 eps #s(literal 1 binary64)) #s(literal 1 binary64))) (pow.f64 eps #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 eps #s(literal -3 binary64)) #s(literal 1 binary64))) (+.f64 (+.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 eps #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -2 binary64)))) (/.f64 (-.f64 eps #s(literal 1 binary64)) (neg.f64 eps))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 eps #s(literal -3 binary64)) #s(literal -1 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 eps #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -2 binary64))) (/.f64 (-.f64 eps #s(literal 1 binary64)) eps)) |
(/.f64 (-.f64 (pow.f64 eps #s(literal -3 binary64)) #s(literal -1 binary64)) (-.f64 (+.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 eps #s(literal -1 binary64)))) |
(fma.f64 (*.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 eps #s(literal -1/2 binary64)) (pow.f64 eps #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal -1 binary64))) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) |
(-.f64 (/.f64 (pow.f64 eps #s(literal -2 binary64)) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 eps #s(literal 1 binary64)) eps)) (/.f64 (pow.f64 eps #s(literal -2 binary64)) (/.f64 (-.f64 eps #s(literal 1 binary64)) eps))) |
(-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) |
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64))) |
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 eps #s(literal -1 binary64)))) (/.f64 (pow.f64 eps #s(literal -3 binary64)) (-.f64 (+.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 eps #s(literal -1 binary64))))) |
(+.f64 (/.f64 (pow.f64 eps #s(literal -3 binary64)) (-.f64 (+.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 eps #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 eps #s(literal -1 binary64))))) |
(+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -1 binary64))) |
#s(approx (* (- eps 1) (+ (/ 1 eps) 1)) (-.f64 eps (pow.f64 eps #s(literal -1 binary64)))) |
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (/ -1 (exp (+ (* x eps) x))) #s(literal -1 binary64))) |
#s(approx (/ -1 (exp (+ (* x eps) x))) #s(literal -1 binary64)) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 eps eps #s(literal -1 binary64)) eps)) x #s(literal 2 binary64))) |
(*.f64 (/.f64 #s(approx (- (* (/ (- eps 1) eps) (/ (- eps 1) eps)) (* (- eps 1) (- eps 1))) (/.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 eps eps) (-.f64 #s(literal 2 binary64) eps) #s(literal -2 binary64)) eps #s(literal 1 binary64)) eps) eps)) (-.f64 (pow.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) #s(literal 3 binary64)) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 3 binary64)))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) (/.f64 (fma.f64 eps eps #s(literal -1 binary64)) eps) (pow.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) #s(literal 2 binary64)))) |
(*.f64 (/.f64 #s(approx (- (* (/ (- eps 1) eps) (/ (- eps 1) eps)) (* (- eps 1) (- eps 1))) (/.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 eps eps) (-.f64 #s(literal 2 binary64) eps) #s(literal -2 binary64)) eps #s(literal 1 binary64)) eps) eps)) (-.f64 (pow.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) #s(literal 2 binary64)) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 (fma.f64 eps eps #s(literal -1 binary64)) eps)) |
(/.f64 (neg.f64 (neg.f64 #s(approx (- (* (/ (- eps 1) eps) (/ (- eps 1) eps)) (* (- eps 1) (- eps 1))) (/.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 eps eps) (-.f64 #s(literal 2 binary64) eps) #s(literal -2 binary64)) eps #s(literal 1 binary64)) eps) eps)))) (neg.f64 (neg.f64 (-.f64 (-.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) eps) #s(literal -1 binary64))))) |
(/.f64 (neg.f64 #s(approx (- (* (/ (- eps 1) eps) (/ (- eps 1) eps)) (* (- eps 1) (- eps 1))) (/.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 eps eps) (-.f64 #s(literal 2 binary64) eps) #s(literal -2 binary64)) eps #s(literal 1 binary64)) eps) eps))) (neg.f64 (-.f64 (-.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) eps) #s(literal -1 binary64)))) |
(/.f64 #s(approx (- (* (/ (- eps 1) eps) (/ (- eps 1) eps)) (* (- eps 1) (- eps 1))) (/.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 eps eps) (-.f64 #s(literal 2 binary64) eps) #s(literal -2 binary64)) eps #s(literal 1 binary64)) eps) eps)) (-.f64 (-.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) eps) #s(literal -1 binary64))) |
(neg.f64 (/.f64 (neg.f64 #s(approx (- (* (/ (- eps 1) eps) (/ (- eps 1) eps)) (* (- eps 1) (- eps 1))) (/.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 eps eps) (-.f64 #s(literal 2 binary64) eps) #s(literal -2 binary64)) eps #s(literal 1 binary64)) eps) eps))) (-.f64 (-.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) eps) #s(literal -1 binary64)))) |
(neg.f64 (/.f64 #s(approx (- (* (/ (- eps 1) eps) (/ (- eps 1) eps)) (* (- eps 1) (- eps 1))) (/.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 eps eps) (-.f64 #s(literal 2 binary64) eps) #s(literal -2 binary64)) eps #s(literal 1 binary64)) eps) eps)) (neg.f64 (-.f64 (-.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) eps) #s(literal -1 binary64))))) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 #s(approx (- (* (/ (- eps 1) eps) (/ (- eps 1) eps)) (* (- eps 1) (- eps 1))) (/.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 eps eps) (-.f64 #s(literal 2 binary64) eps) #s(literal -2 binary64)) eps #s(literal 1 binary64)) eps) eps)) (-.f64 (-.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) eps) #s(literal -1 binary64)))) x #s(literal 2 binary64))) |
(/.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 eps eps) (-.f64 #s(literal 2 binary64) eps) #s(literal -2 binary64)) eps #s(literal 1 binary64)) (fabs.f64 eps)) (fabs.f64 eps)) |
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 eps eps) (-.f64 #s(literal 2 binary64) eps) #s(literal -2 binary64)) eps) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) (-.f64 #s(literal 2 binary64) eps) #s(literal -2 binary64)) eps #s(literal -1 binary64)) (*.f64 eps eps))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 eps eps) (-.f64 #s(literal 2 binary64) eps) #s(literal -2 binary64)) eps) #s(literal 3 binary64)) #s(literal -1 binary64)) (*.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 eps eps) (-.f64 #s(literal 2 binary64) eps) #s(literal -2 binary64)) eps) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 eps eps) (-.f64 #s(literal 2 binary64) eps) #s(literal -2 binary64)) eps)) (*.f64 eps eps))) |
(/.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 eps eps) (-.f64 #s(literal 2 binary64) eps) #s(literal -2 binary64)) eps #s(literal 1 binary64)) (neg.f64 eps)) (neg.f64 eps)) |
(/.f64 (neg.f64 (fma.f64 (fma.f64 (*.f64 eps eps) (-.f64 #s(literal 2 binary64) eps) #s(literal -2 binary64)) eps #s(literal 1 binary64))) (*.f64 (neg.f64 eps) eps)) |
(/.f64 (neg.f64 (fma.f64 (fma.f64 (*.f64 eps eps) (-.f64 #s(literal 2 binary64) eps) #s(literal -2 binary64)) eps #s(literal 1 binary64))) (neg.f64 (*.f64 eps eps))) |
(/.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 eps eps) (-.f64 #s(literal 2 binary64) eps) #s(literal -2 binary64)) eps #s(literal 1 binary64)) eps) eps) |
(/.f64 (fma.f64 (fma.f64 (*.f64 eps eps) (-.f64 #s(literal 2 binary64) eps) #s(literal -2 binary64)) eps #s(literal 1 binary64)) (*.f64 eps eps)) |
(neg.f64 (/.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 eps eps) (-.f64 #s(literal 2 binary64) eps) #s(literal -2 binary64)) eps #s(literal 1 binary64)) (neg.f64 eps)) eps)) |
(neg.f64 (/.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 eps eps) (-.f64 #s(literal 2 binary64) eps) #s(literal -2 binary64)) eps #s(literal 1 binary64)) eps) (neg.f64 eps))) |
(fma.f64 (fabs.f64 (pow.f64 eps #s(literal -1 binary64))) (fabs.f64 (pow.f64 eps #s(literal -1 binary64))) (/.f64 (*.f64 (fma.f64 (*.f64 eps eps) (-.f64 #s(literal 2 binary64) eps) #s(literal -2 binary64)) eps) (*.f64 eps eps))) |
(fma.f64 (/.f64 #s(literal -1 binary64) eps) (/.f64 #s(literal -1 binary64) eps) (/.f64 (*.f64 (fma.f64 (*.f64 eps eps) (-.f64 #s(literal 2 binary64) eps) #s(literal -2 binary64)) eps) (*.f64 eps eps))) |
(fma.f64 (pow.f64 eps #s(literal -1 binary64)) (pow.f64 eps #s(literal -1 binary64)) (/.f64 (*.f64 (fma.f64 (*.f64 eps eps) (-.f64 #s(literal 2 binary64) eps) #s(literal -2 binary64)) eps) (*.f64 eps eps))) |
(+.f64 (/.f64 (*.f64 (fma.f64 (*.f64 eps eps) (-.f64 #s(literal 2 binary64) eps) #s(literal -2 binary64)) #s(literal 1 binary64)) eps) (pow.f64 eps #s(literal -2 binary64))) |
(+.f64 (/.f64 (*.f64 (fma.f64 (*.f64 eps eps) (-.f64 #s(literal 2 binary64) eps) #s(literal -2 binary64)) eps) (*.f64 eps eps)) (pow.f64 eps #s(literal -2 binary64))) |
(+.f64 (pow.f64 eps #s(literal -2 binary64)) (/.f64 (*.f64 (fma.f64 (*.f64 eps eps) (-.f64 #s(literal 2 binary64) eps) #s(literal -2 binary64)) eps) (*.f64 eps eps))) |
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))) |
#s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 x (-.f64 eps #s(literal 1 binary64)) #s(literal 1 binary64))) |
Compiled 41 178 to 3 472 computations (91.6% saved)
17 alts after pruning (13 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 548 | 8 | 556 |
| Fresh | 6 | 5 | 11 |
| Picked | 2 | 3 | 5 |
| Done | 1 | 1 | 2 |
| Total | 557 | 17 | 574 |
| Status | Accuracy | Program |
|---|---|---|
| 60.3% | (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 #s(approx (neg (* (- 1 eps) x)) (*.f64 x eps)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))))) #s(literal 2 binary64)) | |
| ✓ | 39.3% | (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))))) #s(literal 2 binary64)) |
| 24.9% | (/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (fma.f64 (fma.f64 x (/.f64 #s(literal 1 binary64) eps) x) (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (/ -1 (exp (+ (* x eps) x))) #s(literal -1 binary64)))) #s(literal 2 binary64)) | |
| 30.1% | (/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (-.f64 eps #s(literal -1 binary64)) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64)) | |
| 40.9% | (/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (-.f64 eps #s(literal -1 binary64)) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))))) #s(literal 2 binary64)) | |
| 29.1% | (/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (-.f64 eps #s(literal -1 binary64)) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (/ -1 (exp (+ (* x eps) x))) (/.f64 #s(literal -1 binary64) (exp.f64 x))))) #s(literal 2 binary64)) | |
| 27.0% | (/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (-.f64 eps #s(literal -1 binary64)) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (/ -1 (exp (+ (* x eps) x))) (-.f64 (fma.f64 x eps x) #s(literal 1 binary64))))) #s(literal 2 binary64)) | |
| ✓ | 18.9% | (/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (-.f64 eps #s(literal -1 binary64)) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (/ -1 (exp (+ (* x eps) x))) #s(literal -1 binary64)))) #s(literal 2 binary64)) |
| 12.3% | (/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (exp.f64 (neg.f64 x)) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (/ -1 (exp (+ (* x eps) x))) #s(literal -1 binary64)))) #s(literal 2 binary64)) | |
| 36.4% | (/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (*.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (/ -1 (exp (+ (* x eps) x))) #s(literal -1 binary64)))) #s(literal 2 binary64)) | |
| ✓ | 61.5% | (/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (/.f64 (fma.f64 eps eps #s(literal -1 binary64)) (-.f64 eps #s(literal 1 binary64))) #s(approx (* (- eps 1) (+ (/ 1 eps) 1)) (-.f64 eps (/.f64 #s(literal 1 binary64) eps)))) x #s(literal 2 binary64))) #s(literal 2 binary64)) |
| 57.2% | (/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (/.f64 (fma.f64 eps eps #s(literal -1 binary64)) eps)) x #s(literal 2 binary64))) #s(literal 2 binary64)) | |
| 42.0% | (/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (fma.f64 eps eps #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) eps)) (fma.f64 eps eps eps))) x #s(literal 2 binary64))) #s(literal 2 binary64)) | |
| 35.8% | (/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (/.f64 #s(approx (- (* (/ (- eps 1) eps) (/ (- eps 1) eps)) (* (- eps 1) (- eps 1))) (/.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 2 binary64) eps) (*.f64 eps eps) #s(literal -2 binary64)) eps #s(literal 1 binary64)) eps) eps)) #s(approx (- (/ (- eps 1) eps) (- eps 1)) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps))))) x #s(literal 2 binary64))) #s(literal 2 binary64)) | |
| 25.1% | (/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (/.f64 #s(approx (+ (+ (* eps eps) -1) (* eps (+ (* eps eps) -1))) (*.f64 (*.f64 eps eps) (-.f64 eps #s(literal -1 binary64)))) (fma.f64 eps eps eps))) x #s(literal 2 binary64))) #s(literal 2 binary64)) | |
| 59.1% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (fma.f64 (exp.f64 (neg.f64 x)) (-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 x (exp.f64 x))) #s(literal 1/2 binary64))) | |
| ✓ | 50.2% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) |
Compiled 3 012 to 803 computations (73.3% saved)
| Inputs |
|---|
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (-.f64 eps #s(literal -1 binary64)) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (/ -1 (exp (+ (* x eps) x))) #s(literal -1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (-.f64 eps #s(literal -1 binary64)) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (/ -1 (exp (+ (* x eps) x))) (-.f64 (fma.f64 x eps x) #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (-.f64 eps #s(literal -1 binary64)) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) #s(approx (* (- eps 1) (+ (/ 1 eps) 1)) (/.f64 #s(literal -1 binary64) eps))) x #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) #s(approx (* (- eps 1) (+ (/ 1 eps) 1)) (-.f64 eps (/.f64 #s(literal 1 binary64) eps)))) x #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (fma.f64 (fma.f64 x (/.f64 #s(literal 1 binary64) eps) x) (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (/ -1 (exp (+ (* x eps) x))) #s(literal -1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (/.f64 (fma.f64 eps eps #s(literal -1 binary64)) eps)) x #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (*.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) x #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (/.f64 #s(approx (+ (+ (* eps eps) -1) (* eps (+ (* eps eps) -1))) (*.f64 (*.f64 eps eps) (-.f64 eps #s(literal -1 binary64)))) (fma.f64 eps eps eps))) x #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (/.f64 (fma.f64 eps eps #s(literal -1 binary64)) (-.f64 eps #s(literal 1 binary64))) #s(approx (* (- eps 1) (+ (/ 1 eps) 1)) (-.f64 eps (/.f64 #s(literal 1 binary64) eps)))) x #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (/.f64 (+.f64 (fma.f64 eps eps #s(literal -1 binary64)) (*.f64 eps (fma.f64 eps eps #s(literal -1 binary64)))) (fma.f64 eps eps eps))) x #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (/.f64 #s(approx (- (* (/ (- eps 1) eps) (/ (- eps 1) eps)) (* (- eps 1) (- eps 1))) (*.f64 (neg.f64 eps) eps)) (-.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (-.f64 eps #s(literal 1 binary64))))) x #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (/.f64 (fma.f64 eps eps #s(literal -1 binary64)) (-.f64 eps #s(literal 1 binary64))) (*.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) x #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (fma.f64 eps eps #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) eps)) (fma.f64 eps eps eps))) x #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (/.f64 #s(approx (- (* (/ (- eps 1) eps) (/ (- eps 1) eps)) (* (- eps 1) (- eps 1))) (/.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 2 binary64) eps) (*.f64 eps eps) #s(literal -2 binary64)) eps #s(literal 1 binary64)) eps) eps)) #s(approx (- (/ (- eps 1) eps) (- eps 1)) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps))))) x #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (/.f64 #s(approx (- (* (/ (- eps 1) eps) (/ (- eps 1) eps)) (* (- eps 1) (- eps 1))) (/.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 2 binary64) #s(literal -2 binary64)) eps #s(literal 1 binary64)) eps) eps)) (-.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (-.f64 eps #s(literal 1 binary64))))) x #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (/.f64 (-.f64 eps #s(literal 1 binary64)) eps)) (*.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64)))) #s(approx (- (/ (- eps 1) eps) (- eps 1)) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps))))) x #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (/.f64 #s(approx (- (* (/ (- eps 1) eps) (/ (- eps 1) eps)) (* (- eps 1) (- eps 1))) (/.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 2 binary64) eps) (*.f64 eps eps) #s(literal -2 binary64)) eps #s(literal 1 binary64)) eps) eps)) (-.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (-.f64 eps #s(literal 1 binary64))))) x #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (/.f64 (-.f64 eps #s(literal 1 binary64)) eps)) (*.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64)))) (-.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (-.f64 eps #s(literal 1 binary64))))) x #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (exp.f64 (neg.f64 x)) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (/ -1 (exp (+ (* x eps) x))) #s(literal -1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (-.f64 eps #s(literal -1 binary64)) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (-.f64 eps #s(literal -1 binary64)) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (/ -1 (exp (+ (* x eps) x))) (/.f64 #s(literal -1 binary64) (exp.f64 x))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (*.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (/ -1 (exp (+ (* x eps) x))) #s(literal -1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (exp.f64 (neg.f64 x)) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (/ -1 (exp (+ (* x eps) x))) #s(literal -1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (-.f64 eps #s(literal -1 binary64)) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (/ -1 (exp (+ (* x eps) x))) (-.f64 (fma.f64 x eps x) #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (fma.f64 (exp.f64 (neg.f64 x)) (-.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 x (exp.f64 x))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (fma.f64 (exp.f64 (neg.f64 x)) (-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 x (exp.f64 x))) #s(literal 1/2 binary64))) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (+.f64 #s(literal 1 binary64) x) (exp.f64 (neg.f64 x)) (/.f64 (+.f64 #s(literal 1 binary64) x) (exp.f64 x)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 #s(approx (neg (* (- 1 eps) x)) (*.f64 x eps)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) |
| Outputs |
|---|
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (fma.f64 (exp.f64 (neg.f64 x)) (-.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 x (exp.f64 x))) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 #s(approx (neg (* (- 1 eps) x)) (*.f64 x eps)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))))) #s(literal 2 binary64)) |
4 calls:
| 17.0ms | x |
| 11.0ms | eps |
| 8.0ms | (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) |
| 8.0ms | (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 2 | (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) |
| 100.0% | 2 | (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) |
| 88.6% | 3 | x |
| 100.0% | 3 | eps |
Compiled 58 to 40 computations (31% saved)
| Inputs |
|---|
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (-.f64 eps #s(literal -1 binary64)) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (/ -1 (exp (+ (* x eps) x))) #s(literal -1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (-.f64 eps #s(literal -1 binary64)) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (/ -1 (exp (+ (* x eps) x))) (-.f64 (fma.f64 x eps x) #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (-.f64 eps #s(literal -1 binary64)) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) #s(approx (* (- eps 1) (+ (/ 1 eps) 1)) (/.f64 #s(literal -1 binary64) eps))) x #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) #s(approx (* (- eps 1) (+ (/ 1 eps) 1)) (-.f64 eps (/.f64 #s(literal 1 binary64) eps)))) x #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (fma.f64 (fma.f64 x (/.f64 #s(literal 1 binary64) eps) x) (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (/ -1 (exp (+ (* x eps) x))) #s(literal -1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (/.f64 (fma.f64 eps eps #s(literal -1 binary64)) eps)) x #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (*.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) x #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (/.f64 #s(approx (+ (+ (* eps eps) -1) (* eps (+ (* eps eps) -1))) (*.f64 (*.f64 eps eps) (-.f64 eps #s(literal -1 binary64)))) (fma.f64 eps eps eps))) x #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (/.f64 (fma.f64 eps eps #s(literal -1 binary64)) (-.f64 eps #s(literal 1 binary64))) #s(approx (* (- eps 1) (+ (/ 1 eps) 1)) (-.f64 eps (/.f64 #s(literal 1 binary64) eps)))) x #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (/.f64 (+.f64 (fma.f64 eps eps #s(literal -1 binary64)) (*.f64 eps (fma.f64 eps eps #s(literal -1 binary64)))) (fma.f64 eps eps eps))) x #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (/.f64 #s(approx (- (* (/ (- eps 1) eps) (/ (- eps 1) eps)) (* (- eps 1) (- eps 1))) (*.f64 (neg.f64 eps) eps)) (-.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (-.f64 eps #s(literal 1 binary64))))) x #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (/.f64 (fma.f64 eps eps #s(literal -1 binary64)) (-.f64 eps #s(literal 1 binary64))) (*.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) x #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (fma.f64 eps eps #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) eps)) (fma.f64 eps eps eps))) x #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (/.f64 #s(approx (- (* (/ (- eps 1) eps) (/ (- eps 1) eps)) (* (- eps 1) (- eps 1))) (/.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 2 binary64) eps) (*.f64 eps eps) #s(literal -2 binary64)) eps #s(literal 1 binary64)) eps) eps)) #s(approx (- (/ (- eps 1) eps) (- eps 1)) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps))))) x #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (/.f64 #s(approx (- (* (/ (- eps 1) eps) (/ (- eps 1) eps)) (* (- eps 1) (- eps 1))) (/.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 2 binary64) #s(literal -2 binary64)) eps #s(literal 1 binary64)) eps) eps)) (-.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (-.f64 eps #s(literal 1 binary64))))) x #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (/.f64 (-.f64 eps #s(literal 1 binary64)) eps)) (*.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64)))) #s(approx (- (/ (- eps 1) eps) (- eps 1)) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps))))) x #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (/.f64 #s(approx (- (* (/ (- eps 1) eps) (/ (- eps 1) eps)) (* (- eps 1) (- eps 1))) (/.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 2 binary64) eps) (*.f64 eps eps) #s(literal -2 binary64)) eps #s(literal 1 binary64)) eps) eps)) (-.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (-.f64 eps #s(literal 1 binary64))))) x #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (/.f64 (-.f64 eps #s(literal 1 binary64)) eps)) (*.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64)))) (-.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (-.f64 eps #s(literal 1 binary64))))) x #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (exp.f64 (neg.f64 x)) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (/ -1 (exp (+ (* x eps) x))) #s(literal -1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (-.f64 eps #s(literal -1 binary64)) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (-.f64 eps #s(literal -1 binary64)) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (/ -1 (exp (+ (* x eps) x))) (/.f64 #s(literal -1 binary64) (exp.f64 x))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (*.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (/ -1 (exp (+ (* x eps) x))) #s(literal -1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (exp.f64 (neg.f64 x)) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (/ -1 (exp (+ (* x eps) x))) #s(literal -1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (-.f64 eps #s(literal -1 binary64)) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (/ -1 (exp (+ (* x eps) x))) (-.f64 (fma.f64 x eps x) #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (fma.f64 (exp.f64 (neg.f64 x)) (-.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 x (exp.f64 x))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (fma.f64 (exp.f64 (neg.f64 x)) (-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 x (exp.f64 x))) #s(literal 1/2 binary64))) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (+.f64 #s(literal 1 binary64) x) (exp.f64 (neg.f64 x)) (/.f64 (+.f64 #s(literal 1 binary64) x) (exp.f64 x)))) #s(literal 2 binary64)) |
| Outputs |
|---|
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (/ -1 (exp (+ (* x eps) x))) (-.f64 (fma.f64 x eps x) #s(literal 1 binary64))))) #s(literal 2 binary64)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (fma.f64 (exp.f64 (neg.f64 x)) (-.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 x (exp.f64 x))) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) |
4 calls:
| 22.0ms | (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) |
| 10.0ms | eps |
| 9.0ms | x |
| 7.0ms | (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 75.2% | 4 | x |
| 83.6% | 3 | eps |
| 82.0% | 2 | (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) |
| 82.0% | 2 | (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) |
Compiled 58 to 40 computations (31% saved)
| Inputs |
|---|
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (-.f64 eps #s(literal -1 binary64)) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (/ -1 (exp (+ (* x eps) x))) #s(literal -1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (-.f64 eps #s(literal -1 binary64)) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (/ -1 (exp (+ (* x eps) x))) (-.f64 (fma.f64 x eps x) #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (-.f64 eps #s(literal -1 binary64)) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) #s(approx (* (- eps 1) (+ (/ 1 eps) 1)) (/.f64 #s(literal -1 binary64) eps))) x #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) #s(approx (* (- eps 1) (+ (/ 1 eps) 1)) (-.f64 eps (/.f64 #s(literal 1 binary64) eps)))) x #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (fma.f64 (fma.f64 x (/.f64 #s(literal 1 binary64) eps) x) (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (/ -1 (exp (+ (* x eps) x))) #s(literal -1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (/.f64 (fma.f64 eps eps #s(literal -1 binary64)) eps)) x #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (*.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) x #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (/.f64 #s(approx (+ (+ (* eps eps) -1) (* eps (+ (* eps eps) -1))) (*.f64 (*.f64 eps eps) (-.f64 eps #s(literal -1 binary64)))) (fma.f64 eps eps eps))) x #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (/.f64 (fma.f64 eps eps #s(literal -1 binary64)) (-.f64 eps #s(literal 1 binary64))) #s(approx (* (- eps 1) (+ (/ 1 eps) 1)) (-.f64 eps (/.f64 #s(literal 1 binary64) eps)))) x #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (/.f64 (+.f64 (fma.f64 eps eps #s(literal -1 binary64)) (*.f64 eps (fma.f64 eps eps #s(literal -1 binary64)))) (fma.f64 eps eps eps))) x #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (/.f64 #s(approx (- (* (/ (- eps 1) eps) (/ (- eps 1) eps)) (* (- eps 1) (- eps 1))) (*.f64 (neg.f64 eps) eps)) (-.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (-.f64 eps #s(literal 1 binary64))))) x #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (/.f64 (fma.f64 eps eps #s(literal -1 binary64)) (-.f64 eps #s(literal 1 binary64))) (*.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) x #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (fma.f64 eps eps #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) eps)) (fma.f64 eps eps eps))) x #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (/.f64 #s(approx (- (* (/ (- eps 1) eps) (/ (- eps 1) eps)) (* (- eps 1) (- eps 1))) (/.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 2 binary64) eps) (*.f64 eps eps) #s(literal -2 binary64)) eps #s(literal 1 binary64)) eps) eps)) #s(approx (- (/ (- eps 1) eps) (- eps 1)) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps))))) x #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (/.f64 #s(approx (- (* (/ (- eps 1) eps) (/ (- eps 1) eps)) (* (- eps 1) (- eps 1))) (/.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 2 binary64) #s(literal -2 binary64)) eps #s(literal 1 binary64)) eps) eps)) (-.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (-.f64 eps #s(literal 1 binary64))))) x #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (/.f64 (-.f64 eps #s(literal 1 binary64)) eps)) (*.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64)))) #s(approx (- (/ (- eps 1) eps) (- eps 1)) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps))))) x #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (/.f64 #s(approx (- (* (/ (- eps 1) eps) (/ (- eps 1) eps)) (* (- eps 1) (- eps 1))) (/.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 2 binary64) eps) (*.f64 eps eps) #s(literal -2 binary64)) eps #s(literal 1 binary64)) eps) eps)) (-.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (-.f64 eps #s(literal 1 binary64))))) x #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (/.f64 (-.f64 eps #s(literal 1 binary64)) eps)) (*.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64)))) (-.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (-.f64 eps #s(literal 1 binary64))))) x #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (exp.f64 (neg.f64 x)) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (/ -1 (exp (+ (* x eps) x))) #s(literal -1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (-.f64 eps #s(literal -1 binary64)) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (-.f64 eps #s(literal -1 binary64)) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (/ -1 (exp (+ (* x eps) x))) (/.f64 #s(literal -1 binary64) (exp.f64 x))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (*.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (/ -1 (exp (+ (* x eps) x))) #s(literal -1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (exp.f64 (neg.f64 x)) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (/ -1 (exp (+ (* x eps) x))) #s(literal -1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (-.f64 eps #s(literal -1 binary64)) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (/ -1 (exp (+ (* x eps) x))) (-.f64 (fma.f64 x eps x) #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) |
| Outputs |
|---|
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (/ -1 (exp (+ (* x eps) x))) (-.f64 (fma.f64 x eps x) #s(literal 1 binary64))))) #s(literal 2 binary64)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) |
3 calls:
| 9.0ms | eps |
| 7.0ms | (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) |
| 7.0ms | (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 72.5% | 2 | (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) |
| 72.5% | 2 | (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) |
| 74.1% | 3 | eps |
Compiled 57 to 38 computations (33.3% saved)
| Inputs |
|---|
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (-.f64 eps #s(literal -1 binary64)) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (/ -1 (exp (+ (* x eps) x))) #s(literal -1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (-.f64 eps #s(literal -1 binary64)) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (/ -1 (exp (+ (* x eps) x))) (-.f64 (fma.f64 x eps x) #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (-.f64 eps #s(literal -1 binary64)) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) #s(approx (* (- eps 1) (+ (/ 1 eps) 1)) (/.f64 #s(literal -1 binary64) eps))) x #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) #s(approx (* (- eps 1) (+ (/ 1 eps) 1)) (-.f64 eps (/.f64 #s(literal 1 binary64) eps)))) x #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (fma.f64 (fma.f64 x (/.f64 #s(literal 1 binary64) eps) x) (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (/ -1 (exp (+ (* x eps) x))) #s(literal -1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (/.f64 (fma.f64 eps eps #s(literal -1 binary64)) eps)) x #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (*.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) x #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (/.f64 #s(approx (+ (+ (* eps eps) -1) (* eps (+ (* eps eps) -1))) (*.f64 (*.f64 eps eps) (-.f64 eps #s(literal -1 binary64)))) (fma.f64 eps eps eps))) x #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (/.f64 (fma.f64 eps eps #s(literal -1 binary64)) (-.f64 eps #s(literal 1 binary64))) #s(approx (* (- eps 1) (+ (/ 1 eps) 1)) (-.f64 eps (/.f64 #s(literal 1 binary64) eps)))) x #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (/.f64 (+.f64 (fma.f64 eps eps #s(literal -1 binary64)) (*.f64 eps (fma.f64 eps eps #s(literal -1 binary64)))) (fma.f64 eps eps eps))) x #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (/.f64 #s(approx (- (* (/ (- eps 1) eps) (/ (- eps 1) eps)) (* (- eps 1) (- eps 1))) (*.f64 (neg.f64 eps) eps)) (-.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (-.f64 eps #s(literal 1 binary64))))) x #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (/.f64 (fma.f64 eps eps #s(literal -1 binary64)) (-.f64 eps #s(literal 1 binary64))) (*.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) x #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (fma.f64 eps eps #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) eps)) (fma.f64 eps eps eps))) x #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (/.f64 #s(approx (- (* (/ (- eps 1) eps) (/ (- eps 1) eps)) (* (- eps 1) (- eps 1))) (/.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 2 binary64) eps) (*.f64 eps eps) #s(literal -2 binary64)) eps #s(literal 1 binary64)) eps) eps)) #s(approx (- (/ (- eps 1) eps) (- eps 1)) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps))))) x #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (/.f64 #s(approx (- (* (/ (- eps 1) eps) (/ (- eps 1) eps)) (* (- eps 1) (- eps 1))) (/.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 2 binary64) #s(literal -2 binary64)) eps #s(literal 1 binary64)) eps) eps)) (-.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (-.f64 eps #s(literal 1 binary64))))) x #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (/.f64 (-.f64 eps #s(literal 1 binary64)) eps)) (*.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64)))) #s(approx (- (/ (- eps 1) eps) (- eps 1)) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps))))) x #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (/.f64 #s(approx (- (* (/ (- eps 1) eps) (/ (- eps 1) eps)) (* (- eps 1) (- eps 1))) (/.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 2 binary64) eps) (*.f64 eps eps) #s(literal -2 binary64)) eps #s(literal 1 binary64)) eps) eps)) (-.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (-.f64 eps #s(literal 1 binary64))))) x #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (/.f64 (-.f64 eps #s(literal 1 binary64)) eps)) (*.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64)))) (-.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (-.f64 eps #s(literal 1 binary64))))) x #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (exp.f64 (neg.f64 x)) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (/ -1 (exp (+ (* x eps) x))) #s(literal -1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (-.f64 eps #s(literal -1 binary64)) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (-.f64 eps #s(literal -1 binary64)) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (/ -1 (exp (+ (* x eps) x))) (/.f64 #s(literal -1 binary64) (exp.f64 x))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (*.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (/ -1 (exp (+ (* x eps) x))) #s(literal -1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (exp.f64 (neg.f64 x)) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (/ -1 (exp (+ (* x eps) x))) #s(literal -1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (-.f64 eps #s(literal -1 binary64)) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (/ -1 (exp (+ (* x eps) x))) (-.f64 (fma.f64 x eps x) #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal 2 binary64)) |
| Outputs |
|---|
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (/ -1 (exp (+ (* x eps) x))) (-.f64 (fma.f64 x eps x) #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) #s(approx (* (- eps 1) (+ (/ 1 eps) 1)) (-.f64 eps (/.f64 #s(literal 1 binary64) eps)))) x #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))))) #s(literal 2 binary64)) |
1 calls:
| 51.0ms | eps |
| Accuracy | Segments | Branch |
|---|---|---|
| 74.1% | 3 | eps |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (-.f64 eps #s(literal -1 binary64)) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (/ -1 (exp (+ (* x eps) x))) #s(literal -1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (-.f64 eps #s(literal -1 binary64)) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (/ -1 (exp (+ (* x eps) x))) (-.f64 (fma.f64 x eps x) #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (-.f64 eps #s(literal -1 binary64)) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) #s(approx (* (- eps 1) (+ (/ 1 eps) 1)) (/.f64 #s(literal -1 binary64) eps))) x #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) #s(approx (* (- eps 1) (+ (/ 1 eps) 1)) (-.f64 eps (/.f64 #s(literal 1 binary64) eps)))) x #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (fma.f64 (fma.f64 x (/.f64 #s(literal 1 binary64) eps) x) (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (/ -1 (exp (+ (* x eps) x))) #s(literal -1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (/.f64 (fma.f64 eps eps #s(literal -1 binary64)) eps)) x #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (*.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) x #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (/.f64 #s(approx (+ (+ (* eps eps) -1) (* eps (+ (* eps eps) -1))) (*.f64 (*.f64 eps eps) (-.f64 eps #s(literal -1 binary64)))) (fma.f64 eps eps eps))) x #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (/.f64 (fma.f64 eps eps #s(literal -1 binary64)) (-.f64 eps #s(literal 1 binary64))) #s(approx (* (- eps 1) (+ (/ 1 eps) 1)) (-.f64 eps (/.f64 #s(literal 1 binary64) eps)))) x #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (/.f64 (+.f64 (fma.f64 eps eps #s(literal -1 binary64)) (*.f64 eps (fma.f64 eps eps #s(literal -1 binary64)))) (fma.f64 eps eps eps))) x #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (/.f64 #s(approx (- (* (/ (- eps 1) eps) (/ (- eps 1) eps)) (* (- eps 1) (- eps 1))) (*.f64 (neg.f64 eps) eps)) (-.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (-.f64 eps #s(literal 1 binary64))))) x #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (/.f64 (fma.f64 eps eps #s(literal -1 binary64)) (-.f64 eps #s(literal 1 binary64))) (*.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) x #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (fma.f64 eps eps #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) eps)) (fma.f64 eps eps eps))) x #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (/.f64 #s(approx (- (* (/ (- eps 1) eps) (/ (- eps 1) eps)) (* (- eps 1) (- eps 1))) (/.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 2 binary64) eps) (*.f64 eps eps) #s(literal -2 binary64)) eps #s(literal 1 binary64)) eps) eps)) #s(approx (- (/ (- eps 1) eps) (- eps 1)) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps))))) x #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (/.f64 #s(approx (- (* (/ (- eps 1) eps) (/ (- eps 1) eps)) (* (- eps 1) (- eps 1))) (/.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 2 binary64) #s(literal -2 binary64)) eps #s(literal 1 binary64)) eps) eps)) (-.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (-.f64 eps #s(literal 1 binary64))))) x #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (/.f64 (-.f64 eps #s(literal 1 binary64)) eps)) (*.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64)))) #s(approx (- (/ (- eps 1) eps) (- eps 1)) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps))))) x #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (/.f64 #s(approx (- (* (/ (- eps 1) eps) (/ (- eps 1) eps)) (* (- eps 1) (- eps 1))) (/.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 2 binary64) eps) (*.f64 eps eps) #s(literal -2 binary64)) eps #s(literal 1 binary64)) eps) eps)) (-.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (-.f64 eps #s(literal 1 binary64))))) x #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (/.f64 (-.f64 eps #s(literal 1 binary64)) eps)) (*.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64)))) (-.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (-.f64 eps #s(literal 1 binary64))))) x #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (exp.f64 (neg.f64 x)) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (/ -1 (exp (+ (* x eps) x))) #s(literal -1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (-.f64 eps #s(literal -1 binary64)) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (-.f64 eps #s(literal -1 binary64)) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (/ -1 (exp (+ (* x eps) x))) (/.f64 #s(literal -1 binary64) (exp.f64 x))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (*.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (/ -1 (exp (+ (* x eps) x))) #s(literal -1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (exp.f64 (neg.f64 x)) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (/ -1 (exp (+ (* x eps) x))) #s(literal -1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (-.f64 eps #s(literal -1 binary64)) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))))) #s(literal 2 binary64)) |
| Outputs |
|---|
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (-.f64 eps #s(literal -1 binary64)) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))))) #s(literal 2 binary64)) |
3 calls:
| 8.0ms | eps |
| 6.0ms | (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) |
| 6.0ms | (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 72.5% | 2 | (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) |
| 72.5% | 2 | (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) |
| 73.8% | 3 | eps |
Compiled 57 to 38 computations (33.3% saved)
| Inputs |
|---|
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (-.f64 eps #s(literal -1 binary64)) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (/ -1 (exp (+ (* x eps) x))) #s(literal -1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (-.f64 eps #s(literal -1 binary64)) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (/ -1 (exp (+ (* x eps) x))) (-.f64 (fma.f64 x eps x) #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (-.f64 eps #s(literal -1 binary64)) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) #s(approx (* (- eps 1) (+ (/ 1 eps) 1)) (/.f64 #s(literal -1 binary64) eps))) x #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) #s(approx (* (- eps 1) (+ (/ 1 eps) 1)) (-.f64 eps (/.f64 #s(literal 1 binary64) eps)))) x #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (fma.f64 (fma.f64 x (/.f64 #s(literal 1 binary64) eps) x) (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (/ -1 (exp (+ (* x eps) x))) #s(literal -1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (/.f64 (fma.f64 eps eps #s(literal -1 binary64)) eps)) x #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (*.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) x #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (/.f64 #s(approx (+ (+ (* eps eps) -1) (* eps (+ (* eps eps) -1))) (*.f64 (*.f64 eps eps) (-.f64 eps #s(literal -1 binary64)))) (fma.f64 eps eps eps))) x #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (/.f64 (fma.f64 eps eps #s(literal -1 binary64)) (-.f64 eps #s(literal 1 binary64))) #s(approx (* (- eps 1) (+ (/ 1 eps) 1)) (-.f64 eps (/.f64 #s(literal 1 binary64) eps)))) x #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (/.f64 (+.f64 (fma.f64 eps eps #s(literal -1 binary64)) (*.f64 eps (fma.f64 eps eps #s(literal -1 binary64)))) (fma.f64 eps eps eps))) x #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (/.f64 #s(approx (- (* (/ (- eps 1) eps) (/ (- eps 1) eps)) (* (- eps 1) (- eps 1))) (*.f64 (neg.f64 eps) eps)) (-.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (-.f64 eps #s(literal 1 binary64))))) x #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (/.f64 (fma.f64 eps eps #s(literal -1 binary64)) (-.f64 eps #s(literal 1 binary64))) (*.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) x #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (fma.f64 eps eps #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) eps)) (fma.f64 eps eps eps))) x #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (/.f64 #s(approx (- (* (/ (- eps 1) eps) (/ (- eps 1) eps)) (* (- eps 1) (- eps 1))) (/.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 2 binary64) eps) (*.f64 eps eps) #s(literal -2 binary64)) eps #s(literal 1 binary64)) eps) eps)) #s(approx (- (/ (- eps 1) eps) (- eps 1)) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps))))) x #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (/.f64 #s(approx (- (* (/ (- eps 1) eps) (/ (- eps 1) eps)) (* (- eps 1) (- eps 1))) (/.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 2 binary64) #s(literal -2 binary64)) eps #s(literal 1 binary64)) eps) eps)) (-.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (-.f64 eps #s(literal 1 binary64))))) x #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (/.f64 (-.f64 eps #s(literal 1 binary64)) eps)) (*.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64)))) #s(approx (- (/ (- eps 1) eps) (- eps 1)) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps))))) x #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (/.f64 #s(approx (- (* (/ (- eps 1) eps) (/ (- eps 1) eps)) (* (- eps 1) (- eps 1))) (/.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 2 binary64) eps) (*.f64 eps eps) #s(literal -2 binary64)) eps #s(literal 1 binary64)) eps) eps)) (-.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (-.f64 eps #s(literal 1 binary64))))) x #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (/.f64 (-.f64 eps #s(literal 1 binary64)) eps)) (*.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64)))) (-.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (-.f64 eps #s(literal 1 binary64))))) x #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (exp.f64 (neg.f64 x)) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (/ -1 (exp (+ (* x eps) x))) #s(literal -1 binary64)))) #s(literal 2 binary64)) |
| Outputs |
|---|
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (/.f64 #s(approx (- (* (/ (- eps 1) eps) (/ (- eps 1) eps)) (* (- eps 1) (- eps 1))) (/.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 2 binary64) eps) (*.f64 eps eps) #s(literal -2 binary64)) eps #s(literal 1 binary64)) eps) eps)) #s(approx (- (/ (- eps 1) eps) (- eps 1)) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps))))) x #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (/.f64 (fma.f64 eps eps #s(literal -1 binary64)) (-.f64 eps #s(literal 1 binary64))) #s(approx (* (- eps 1) (+ (/ 1 eps) 1)) (-.f64 eps (/.f64 #s(literal 1 binary64) eps)))) x #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (-.f64 eps #s(literal -1 binary64)) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
4 calls:
| 26.0ms | (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) |
| 6.0ms | x |
| 6.0ms | eps |
| 5.0ms | (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 71.7% | 3 | x |
| 61.5% | 1 | eps |
| 66.2% | 2 | (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) |
| 66.2% | 2 | (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) |
Compiled 58 to 40 computations (31% saved)
| Inputs |
|---|
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (-.f64 eps #s(literal -1 binary64)) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (/ -1 (exp (+ (* x eps) x))) #s(literal -1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (-.f64 eps #s(literal -1 binary64)) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (/ -1 (exp (+ (* x eps) x))) (-.f64 (fma.f64 x eps x) #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (-.f64 eps #s(literal -1 binary64)) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) #s(approx (* (- eps 1) (+ (/ 1 eps) 1)) (/.f64 #s(literal -1 binary64) eps))) x #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) #s(approx (* (- eps 1) (+ (/ 1 eps) 1)) (-.f64 eps (/.f64 #s(literal 1 binary64) eps)))) x #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (fma.f64 (fma.f64 x (/.f64 #s(literal 1 binary64) eps) x) (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (/ -1 (exp (+ (* x eps) x))) #s(literal -1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (/.f64 (fma.f64 eps eps #s(literal -1 binary64)) eps)) x #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (*.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) x #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (/.f64 #s(approx (+ (+ (* eps eps) -1) (* eps (+ (* eps eps) -1))) (*.f64 (*.f64 eps eps) (-.f64 eps #s(literal -1 binary64)))) (fma.f64 eps eps eps))) x #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (/.f64 (fma.f64 eps eps #s(literal -1 binary64)) (-.f64 eps #s(literal 1 binary64))) #s(approx (* (- eps 1) (+ (/ 1 eps) 1)) (-.f64 eps (/.f64 #s(literal 1 binary64) eps)))) x #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (/.f64 (+.f64 (fma.f64 eps eps #s(literal -1 binary64)) (*.f64 eps (fma.f64 eps eps #s(literal -1 binary64)))) (fma.f64 eps eps eps))) x #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (/.f64 #s(approx (- (* (/ (- eps 1) eps) (/ (- eps 1) eps)) (* (- eps 1) (- eps 1))) (*.f64 (neg.f64 eps) eps)) (-.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (-.f64 eps #s(literal 1 binary64))))) x #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (/.f64 (fma.f64 eps eps #s(literal -1 binary64)) (-.f64 eps #s(literal 1 binary64))) (*.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) x #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (fma.f64 eps eps #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) eps)) (fma.f64 eps eps eps))) x #s(literal 2 binary64))) #s(literal 2 binary64)) |
| Outputs |
|---|
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (/.f64 (fma.f64 eps eps #s(literal -1 binary64)) (-.f64 eps #s(literal 1 binary64))) #s(approx (* (- eps 1) (+ (/ 1 eps) 1)) (-.f64 eps (/.f64 #s(literal 1 binary64) eps)))) x #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (-.f64 eps #s(literal -1 binary64)) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
1 calls:
| 5.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 66.6% | 2 | x |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (-.f64 eps #s(literal -1 binary64)) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (/ -1 (exp (+ (* x eps) x))) #s(literal -1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (-.f64 eps #s(literal -1 binary64)) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (/ -1 (exp (+ (* x eps) x))) (-.f64 (fma.f64 x eps x) #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (-.f64 eps #s(literal -1 binary64)) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) #s(approx (* (- eps 1) (+ (/ 1 eps) 1)) (/.f64 #s(literal -1 binary64) eps))) x #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) #s(approx (* (- eps 1) (+ (/ 1 eps) 1)) (-.f64 eps (/.f64 #s(literal 1 binary64) eps)))) x #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (fma.f64 (fma.f64 x (/.f64 #s(literal 1 binary64) eps) x) (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (/ -1 (exp (+ (* x eps) x))) #s(literal -1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (/.f64 (fma.f64 eps eps #s(literal -1 binary64)) eps)) x #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (*.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) x #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (/.f64 #s(approx (+ (+ (* eps eps) -1) (* eps (+ (* eps eps) -1))) (*.f64 (*.f64 eps eps) (-.f64 eps #s(literal -1 binary64)))) (fma.f64 eps eps eps))) x #s(literal 2 binary64))) #s(literal 2 binary64)) |
| Outputs |
|---|
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (-.f64 eps #s(literal -1 binary64)) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (/ -1 (exp (+ (* x eps) x))) (-.f64 (fma.f64 x eps x) #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (/.f64 (fma.f64 eps eps #s(literal -1 binary64)) eps)) x #s(literal 2 binary64))) #s(literal 2 binary64)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (/.f64 (fma.f64 eps eps #s(literal -1 binary64)) eps)) x #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (-.f64 eps #s(literal -1 binary64)) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
3 calls:
| 25.0ms | x |
| 3.0ms | (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) |
| 3.0ms | (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 60.7% | 2 | (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) |
| 60.7% | 2 | (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) |
| 67.8% | 5 | x |
Compiled 57 to 38 computations (33.3% saved)
| Inputs |
|---|
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (-.f64 eps #s(literal -1 binary64)) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (/ -1 (exp (+ (* x eps) x))) #s(literal -1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (-.f64 eps #s(literal -1 binary64)) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (/ -1 (exp (+ (* x eps) x))) (-.f64 (fma.f64 x eps x) #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (-.f64 eps #s(literal -1 binary64)) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) #s(approx (* (- eps 1) (+ (/ 1 eps) 1)) (/.f64 #s(literal -1 binary64) eps))) x #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) #s(approx (* (- eps 1) (+ (/ 1 eps) 1)) (-.f64 eps (/.f64 #s(literal 1 binary64) eps)))) x #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (fma.f64 (fma.f64 x (/.f64 #s(literal 1 binary64) eps) x) (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (/ -1 (exp (+ (* x eps) x))) #s(literal -1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
| Outputs |
|---|
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) #s(approx (* (- eps 1) (+ (/ 1 eps) 1)) (/.f64 #s(literal -1 binary64) eps))) x #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (-.f64 eps #s(literal -1 binary64)) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
2 calls:
| 3.0ms | x |
| 3.0ms | eps |
| Accuracy | Segments | Branch |
|---|---|---|
| 58.3% | 1 | eps |
| 62.2% | 2 | x |
Compiled 2 to 4 computations (-100% saved)
| Inputs |
|---|
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (-.f64 eps #s(literal -1 binary64)) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (/ -1 (exp (+ (* x eps) x))) #s(literal -1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (-.f64 eps #s(literal -1 binary64)) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (/ -1 (exp (+ (* x eps) x))) (-.f64 (fma.f64 x eps x) #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (-.f64 eps #s(literal -1 binary64)) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
| Outputs |
|---|
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (-.f64 eps #s(literal -1 binary64)) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (/ -1 (exp (+ (* x eps) x))) (-.f64 (fma.f64 x eps x) #s(literal 1 binary64))))) #s(literal 2 binary64)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (-.f64 eps #s(literal -1 binary64)) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
1 calls:
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 62.7% | 3 | x |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (-.f64 eps #s(literal -1 binary64)) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (/ -1 (exp (+ (* x eps) x))) #s(literal -1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (-.f64 eps #s(literal -1 binary64)) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (/ -1 (exp (+ (* x eps) x))) (-.f64 (fma.f64 x eps x) #s(literal 1 binary64))))) #s(literal 2 binary64)) |
| Outputs |
|---|
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (-.f64 eps #s(literal -1 binary64)) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (/ -1 (exp (+ (* x eps) x))) (-.f64 (fma.f64 x eps x) #s(literal 1 binary64))))) #s(literal 2 binary64)) |
4 calls:
| 2.0ms | x |
| 2.0ms | eps |
| 1.0ms | (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) |
| 1.0ms | (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 58.4% | 3 | eps |
| 58.6% | 2 | (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) |
| 58.6% | 2 | (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) |
| 58.7% | 3 | x |
Compiled 58 to 40 computations (31% saved)
Total -20.0b remaining (-62.9%)
Threshold costs -20b (-62.9%)
| Inputs |
|---|
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (-.f64 eps #s(literal -1 binary64)) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (/ -1 (exp (+ (* x eps) x))) #s(literal -1 binary64)))) #s(literal 2 binary64)) |
| Outputs |
|---|
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) |
4 calls:
| 30.0ms | (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) |
| 1.0ms | x |
| 1.0ms | eps |
| 1.0ms | (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 50.2% | 1 | eps |
| 50.2% | 1 | x |
| 50.2% | 1 | (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) |
| 50.2% | 1 | (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) |
Compiled 58 to 40 computations (31% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0 | 1.0000000000207812 |
Compiled 32 to 24 computations (25% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 38.0ms | 0.0007244045054713536 | 0.013591373973944419 |
| 24.0ms | -1024660527215954000.0 | -105906.88206932745 |
| 30.0ms | 272× | 0 | valid |
| 1.0ms | 11× | 0 | exit |
Compiled 1 499 to 1 046 computations (30.2% saved)
ival-mult: 7.0ms (29.2% of total)ival-div: 4.0ms (16.7% of total)ival-exp: 4.0ms (16.7% of total)ival-sub: 4.0ms (16.7% of total)ival-add: 3.0ms (12.5% of total)ival-neg: 2.0ms (8.4% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 0.0007244045054713536 | 0.013591373973944419 |
| 24.0ms | -1024660527215954000.0 | -105906.88206932745 |
Compiled 1 261 to 876 computations (30.5% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 46.0ms | 1942.0250017903566 | 5.032038648147082e+19 |
| 2.0ms | -1024660527215954000.0 | -105906.88206932745 |
| 19.0ms | 160× | 0 | valid |
Compiled 2 062 to 1 274 computations (38.2% saved)
ival-mult: 4.0ms (28.4% of total)ival-div: 2.0ms (14.2% of total)ival-exp: 2.0ms (14.2% of total)ival-add: 2.0ms (14.2% of total)ival-sub: 2.0ms (14.2% of total)ival-neg: 1.0ms (7.1% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0000000004552028 | +inf |
Compiled 32 to 24 computations (25% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 28.0ms | 411964625672868800.0 | 1.1646503389440348e+26 |
| 70.0ms | -0.011151777960513132 | -5.628349813795811e-9 |
| 52.0ms | 49× | 1 | valid |
| 32.0ms | 239× | 0 | valid |
Compiled 2 354 to 1 302 computations (44.7% saved)
ival-exp: 13.0ms (32.2% of total)ival-mult: 8.0ms (19.8% of total)ival-sub: 5.0ms (12.4% of total)ival-div: 5.0ms (12.4% of total)adjust: 3.0ms (7.4% of total)ival-neg: 3.0ms (7.4% of total)ival-add: 3.0ms (7.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 2.0ms | 411964625672868800.0 | 1.1646503389440348e+26 |
Compiled 959 to 591 computations (38.4% saved)
| 4× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 43.0ms | 1.0973063613808405e-10 | 5535700.941728317 |
| 35.0ms | 9.67643693474827e-222 | 1.3939096741075507e-217 |
| 42.0ms | -2.09472848154768e-196 | -1.2416986024127889e-204 |
| 42.0ms | -2.9495518792096664e+47 | -1.3397597441730898e+38 |
| 57.0ms | 141× | 1 | valid |
| 51.0ms | 421× | 0 | valid |
| 11.0ms | 97× | 0 | exit |
| 8.0ms | 14× | 2 | valid |
Compiled 3 156 to 2 064 computations (34.6% saved)
ival-exp: 23.0ms (21.7% of total)ival-sub: 20.0ms (18.8% of total)ival-mult: 20.0ms (18.8% of total)ival-div: 14.0ms (13.2% of total)adjust: 11.0ms (10.4% of total)ival-add: 8.0ms (7.5% of total)ival-neg: 7.0ms (6.6% of total)ival-true: 1.0ms (0.9% of total)exact: 1.0ms (0.9% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 10.0ms | 411964625672868800.0 | 1.1646503389440348e+26 |
| 7.0ms | 64× | 0 | valid |
Compiled 896 to 573 computations (36% saved)
ival-div: 1.0ms (19% of total)ival-exp: 1.0ms (19% of total)ival-add: 1.0ms (19% of total)ival-mult: 1.0ms (19% of total)ival-sub: 1.0ms (19% of total)ival-neg: 1.0ms (19% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 31.0ms | 1.0973063613808405e-10 | 5535700.941728317 |
| 40.0ms | -2.9495518792096664e+47 | -1.3397597441730898e+38 |
| 23.0ms | 206× | 0 | valid |
| 17.0ms | 50× | 1 | valid |
| 11.0ms | 86× | 0 | exit |
Compiled 1 490 to 1 028 computations (31% saved)
ival-mult: 9.0ms (22.5% of total)ival-sub: 7.0ms (17.5% of total)ival-exp: 7.0ms (17.5% of total)ival-div: 6.0ms (15% of total)ival-add: 4.0ms (10% of total)adjust: 3.0ms (7.5% of total)ival-neg: 3.0ms (7.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0000000004552028 | +inf |
Compiled 32 to 24 computations (25% saved)
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 174 | 1554 |
| 1 | 296 | 1554 |
| 2 | 583 | 1484 |
| 3 | 1754 | 1484 |
| 1× | node limit |
| Inputs |
|---|
(if (<=.f64 (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (fma.f64 (exp.f64 (neg.f64 x)) (-.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 x (exp.f64 x))) #s(literal 1/2 binary64))) (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 #s(approx (neg (* (- 1 eps) x)) (*.f64 x eps)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))))) #s(literal 2 binary64))) |
(if (<=.f64 eps #s(literal -7200000000 binary64)) (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (/ -1 (exp (+ (* x eps) x))) (-.f64 (fma.f64 x eps x) #s(literal 1 binary64))))) #s(literal 2 binary64)) (if (<=.f64 eps #s(literal 7782220156096217/576460752303423488 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (fma.f64 (exp.f64 (neg.f64 x)) (-.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 x (exp.f64 x))) #s(literal 1/2 binary64))) (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)))) |
(if (<=.f64 eps #s(literal -7200000000 binary64)) (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (/ -1 (exp (+ (* x eps) x))) (-.f64 (fma.f64 x eps x) #s(literal 1 binary64))))) #s(literal 2 binary64)) (if (<=.f64 eps #s(literal 7782220156096217/576460752303423488 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)))) |
(if (<=.f64 eps #s(literal -7200000000 binary64)) (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (/ -1 (exp (+ (* x eps) x))) (-.f64 (fma.f64 x eps x) #s(literal 1 binary64))))) #s(literal 2 binary64)) (if (<=.f64 eps #s(literal 1000000000000 binary64)) (/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) #s(approx (* (- eps 1) (+ (/ 1 eps) 1)) (-.f64 eps (/.f64 #s(literal 1 binary64) eps)))) x #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))))) #s(literal 2 binary64)))) |
(if (<=.f64 (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) (/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (-.f64 eps #s(literal -1 binary64)) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))))) #s(literal 2 binary64))) |
(if (<=.f64 x #s(literal -4352132950612665/604462909807314587353088 binary64)) (/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (/.f64 #s(approx (- (* (/ (- eps 1) eps) (/ (- eps 1) eps)) (* (- eps 1) (- eps 1))) (/.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 2 binary64) eps) (*.f64 eps eps) #s(literal -2 binary64)) eps #s(literal 1 binary64)) eps) eps)) #s(approx (- (/ (- eps 1) eps) (- eps 1)) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps))))) x #s(literal 2 binary64))) #s(literal 2 binary64)) (if (<=.f64 x #s(literal 800000000000000000 binary64)) (/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (/.f64 (fma.f64 eps eps #s(literal -1 binary64)) (-.f64 eps #s(literal 1 binary64))) #s(approx (* (- eps 1) (+ (/ 1 eps) 1)) (-.f64 eps (/.f64 #s(literal 1 binary64) eps)))) x #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (-.f64 eps #s(literal -1 binary64)) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64)))) |
(if (<=.f64 x #s(literal 800000000000000000 binary64)) (/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (/.f64 (fma.f64 eps eps #s(literal -1 binary64)) (-.f64 eps #s(literal 1 binary64))) #s(approx (* (- eps 1) (+ (/ 1 eps) 1)) (-.f64 eps (/.f64 #s(literal 1 binary64) eps)))) x #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (-.f64 eps #s(literal -1 binary64)) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64))) |
(if (<=.f64 x #s(literal -660000000000000026529720269316654391214735360 binary64)) (/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (-.f64 eps #s(literal -1 binary64)) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (/ -1 (exp (+ (* x eps) x))) (-.f64 (fma.f64 x eps x) #s(literal 1 binary64))))) #s(literal 2 binary64)) (if (<=.f64 x #s(literal -3029838279291863/168324348849547952231711676252164117297610873690341563503944988898199428937506586307637329160882830439263455003397702966816621832005881723620090072660860187198567157476110227142133240252298326952681384055545004032 binary64)) (/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (/.f64 (fma.f64 eps eps #s(literal -1 binary64)) eps)) x #s(literal 2 binary64))) #s(literal 2 binary64)) (if (<=.f64 x #s(literal 8953632661337695/203491651394038521547847039511757134922630564035519658215217828728150550470508791245160894801988351157926327837934364027279321339542216951915385621714197694277806322617004838820284371518304871360136871830318804992117027222823378335301632 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) (if (<=.f64 x #s(literal 720 binary64)) (/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (/.f64 (fma.f64 eps eps #s(literal -1 binary64)) eps)) x #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (-.f64 eps #s(literal -1 binary64)) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64)))))) |
(if (<=.f64 x #s(literal 420000000000000000 binary64)) (/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) #s(approx (* (- eps 1) (+ (/ 1 eps) 1)) (/.f64 #s(literal -1 binary64) eps))) x #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (-.f64 eps #s(literal -1 binary64)) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64))) |
(if (<=.f64 x #s(literal -1999999999999999879418332743206357172224 binary64)) (/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (-.f64 eps #s(literal -1 binary64)) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (/ -1 (exp (+ (* x eps) x))) (-.f64 (fma.f64 x eps x) #s(literal 1 binary64))))) #s(literal 2 binary64)) (if (<=.f64 x #s(literal 370 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) (/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (-.f64 eps #s(literal -1 binary64)) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64)))) |
(if (<=.f64 (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) (/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (-.f64 eps #s(literal -1 binary64)) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (/ -1 (exp (+ (* x eps) x))) (-.f64 (fma.f64 x eps x) #s(literal 1 binary64))))) #s(literal 2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) |
| Outputs |
|---|
(if (<=.f64 (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (fma.f64 (exp.f64 (neg.f64 x)) (-.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 x (exp.f64 x))) #s(literal 1/2 binary64))) (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 #s(approx (neg (* (- 1 eps) x)) (*.f64 x eps)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))))) #s(literal 2 binary64))) |
(if (<=.f64 (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 (+.f64 #s(literal -1 binary64) eps) x))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)))) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (fma.f64 (exp.f64 (neg.f64 x)) (-.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 x (exp.f64 x))) #s(literal 1/2 binary64))) (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 #s(approx (neg (* (- 1 eps) x)) (*.f64 x eps)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))))) #s(literal 2 binary64))) |
(if (<=.f64 eps #s(literal -7200000000 binary64)) (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (/ -1 (exp (+ (* x eps) x))) (-.f64 (fma.f64 x eps x) #s(literal 1 binary64))))) #s(literal 2 binary64)) (if (<=.f64 eps #s(literal 7782220156096217/576460752303423488 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (fma.f64 (exp.f64 (neg.f64 x)) (-.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 x (exp.f64 x))) #s(literal 1/2 binary64))) (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)))) |
(if (<=.f64 eps #s(literal -7200000000 binary64)) (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 (+.f64 #s(literal -1 binary64) eps) x))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (/ -1 (exp (+ (* x eps) x))) (-.f64 (fma.f64 x eps x) #s(literal 1 binary64))))) #s(literal 2 binary64)) (if (<=.f64 eps #s(literal 7782220156096217/576460752303423488 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (fma.f64 (exp.f64 (neg.f64 x)) (-.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 x (exp.f64 x))) #s(literal 1/2 binary64))) (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)))) #s(literal 2 binary64)))) |
(if (<=.f64 eps #s(literal -7200000000 binary64)) (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (/ -1 (exp (+ (* x eps) x))) (-.f64 (fma.f64 x eps x) #s(literal 1 binary64))))) #s(literal 2 binary64)) (if (<=.f64 eps #s(literal 7782220156096217/576460752303423488 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)))) |
(if (<=.f64 eps #s(literal -7200000000 binary64)) (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 (+.f64 #s(literal -1 binary64) eps) x))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (/ -1 (exp (+ (* x eps) x))) (-.f64 (fma.f64 x eps x) #s(literal 1 binary64))))) #s(literal 2 binary64)) (if (<=.f64 eps #s(literal 7782220156096217/576460752303423488 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)))) #s(literal 2 binary64)))) |
(if (<=.f64 eps #s(literal -7200000000 binary64)) (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (/ -1 (exp (+ (* x eps) x))) (-.f64 (fma.f64 x eps x) #s(literal 1 binary64))))) #s(literal 2 binary64)) (if (<=.f64 eps #s(literal 1000000000000 binary64)) (/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) #s(approx (* (- eps 1) (+ (/ 1 eps) 1)) (-.f64 eps (/.f64 #s(literal 1 binary64) eps)))) x #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))))) #s(literal 2 binary64)))) |
(if (<=.f64 eps #s(literal -7200000000 binary64)) (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 (+.f64 #s(literal -1 binary64) eps) x))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (/ -1 (exp (+ (* x eps) x))) (-.f64 (fma.f64 x eps x) #s(literal 1 binary64))))) #s(literal 2 binary64)) (if (<=.f64 eps #s(literal 1000000000000 binary64)) (/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) #s(approx (* (- eps 1) (+ (/ 1 eps) 1)) (-.f64 eps (/.f64 #s(literal 1 binary64) eps)))) x #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))))) #s(literal 2 binary64)))) |
(if (<=.f64 (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) (/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (-.f64 eps #s(literal -1 binary64)) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))))) #s(literal 2 binary64))) |
(if (<=.f64 (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 (+.f64 #s(literal -1 binary64) eps) x))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)))) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) (/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (-.f64 eps #s(literal -1 binary64)) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))))) #s(literal 2 binary64))) |
(if (<=.f64 x #s(literal -4352132950612665/604462909807314587353088 binary64)) (/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (/.f64 #s(approx (- (* (/ (- eps 1) eps) (/ (- eps 1) eps)) (* (- eps 1) (- eps 1))) (/.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 2 binary64) eps) (*.f64 eps eps) #s(literal -2 binary64)) eps #s(literal 1 binary64)) eps) eps)) #s(approx (- (/ (- eps 1) eps) (- eps 1)) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps))))) x #s(literal 2 binary64))) #s(literal 2 binary64)) (if (<=.f64 x #s(literal 800000000000000000 binary64)) (/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (/.f64 (fma.f64 eps eps #s(literal -1 binary64)) (-.f64 eps #s(literal 1 binary64))) #s(approx (* (- eps 1) (+ (/ 1 eps) 1)) (-.f64 eps (/.f64 #s(literal 1 binary64) eps)))) x #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (-.f64 eps #s(literal -1 binary64)) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64)))) |
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(if (<=.f64 x #s(literal 420000000000000000 binary64)) (/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) #s(approx (* (- eps 1) (+ (/ 1 eps) 1)) (/.f64 #s(literal -1 binary64) eps))) x #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (-.f64 eps #s(literal -1 binary64)) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64))) |
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(if (<=.f64 (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 (+.f64 #s(literal -1 binary64) eps) x))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)))) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) (/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (-.f64 eps #s(literal -1 binary64)) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (/ -1 (exp (+ (* x eps) x))) (-.f64 (fma.f64 x eps x) #s(literal 1 binary64))))) #s(literal 2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 64 | 642 |
| 0 | 105 | 614 |
| 1 | 411 | 540 |
| 0 | 3639 | 540 |
| 0 | 470 | 2617 |
| 1 | 1600 | 2350 |
| 2 | 7803 | 2350 |
| 0 | 8002 | 2220 |
| 0 | 284 | 1388 |
| 1 | 1012 | 1251 |
| 2 | 4876 | 1235 |
| 0 | 8428 | 1147 |
| 0 | 82 | 886 |
| 0 | 135 | 850 |
| 1 | 584 | 762 |
| 0 | 5644 | 762 |
| 0 | 499 | 2713 |
| 1 | 1690 | 2427 |
| 0 | 8288 | 2301 |
| 0 | 53 | 508 |
| 0 | 88 | 508 |
| 1 | 308 | 469 |
| 0 | 2457 | 469 |
| 0 | 396 | 2309 |
| 1 | 1395 | 2050 |
| 2 | 7040 | 2028 |
| 0 | 8216 | 1908 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 1 543 to 176 computations (88.6% saved)
Compiled 3 144 to 390 computations (87.6% saved)
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