
Time bar (total: 17.2s)
| 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)
| 1.1s | 5 924× | 0 | valid |
| 1.0s | 2 332× | 1 | valid |
| 150.0ms | 969× | 0 | exit |
| 2.0ms | 14× | 1 | exit |
ival-div: 451.0ms (25.1% of total)ival-mult: 341.0ms (18.9% of total)ival-exp: 327.0ms (18.2% of total)ival-add: 255.0ms (14.2% of total)ival-sub: 198.0ms (11% of total)ival-neg: 134.0ms (7.4% of total)adjust: 72.0ms (4% of total)exact: 12.0ms (0.7% of total)ival-true: 7.0ms (0.4% of total)ival-assert: 4.0ms (0.2% of total)| 2× | egg-herbie |
| 11 102× | accelerator-lowering-fma.f32 |
| 11 102× | accelerator-lowering-fma.f64 |
| 2 706× | *-lowering-*.f32 |
| 2 706× | *-lowering-*.f64 |
| 1 598× | --lowering--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 63 | 181 |
| 1 | 197 | 166 |
| 2 | 600 | 162 |
| 3 | 1975 | 162 |
| 4 | 4911 | 160 |
| 0 | 19 | 29 |
| 1 | 55 | 29 |
| 2 | 154 | 27 |
| 3 | 495 | 27 |
| 4 | 1112 | 27 |
| 5 | 3326 | 25 |
| 6 | 7585 | 25 |
| 0 | 8121 | 23 |
| 1× | iter limit |
| 1× | node limit |
| 1× | node limit |
| Inputs |
|---|
(/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) |
| Outputs |
|---|
(/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) |
(fma.f64 (exp.f64 (fma.f64 x (+.f64 eps #s(literal -1 binary64)) #s(literal 0 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal 1/2 binary64)) (fma.f64 (exp.f64 (fma.f64 x (-.f64 #s(literal -1 binary64) eps) #s(literal 0 binary64))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) #s(literal 0 binary64))) |
| Inputs |
|---|
(/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) |
(/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) (neg x))))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) (neg x)))))) 2) |
(/ (- (* (+ 1 (/ 1 (neg eps))) (exp (neg (* (- 1 (neg eps)) x)))) (* (- (/ 1 (neg eps)) 1) (exp (neg (* (+ 1 (neg eps)) x))))) 2) |
(neg (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) (neg x))))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) (neg x)))))) 2)) |
(neg (/ (- (* (+ 1 (/ 1 (neg eps))) (exp (neg (* (- 1 (neg eps)) x)))) (* (- (/ 1 (neg eps)) 1) (exp (neg (* (+ 1 (neg eps)) x))))) 2)) |
(/ (- (* (+ 1 (/ 1 x)) (exp (neg (* (- 1 x) eps)))) (* (- (/ 1 x) 1) (exp (neg (* (+ 1 x) eps))))) 2) |
| Outputs |
|---|
(/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) |
(* (+ (* (pow (exp x) (- -1 eps)) (+ 1 (/ -1 eps))) (* (+ 1 (/ 1 eps)) (pow (exp x) (+ eps -1)))) 1/2) |
(/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) (neg x))))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) (neg x)))))) 2) |
(/ (* (exp x) (+ (/ (+ 1 (/ 1 eps)) (pow (exp eps) x)) (* (pow (exp eps) x) (+ 1 (/ -1 eps))))) 2) |
(/ (- (* (+ 1 (/ 1 (neg eps))) (exp (neg (* (- 1 (neg eps)) x)))) (* (- (/ 1 (neg eps)) 1) (exp (neg (* (+ 1 (neg eps)) x))))) 2) |
(* (+ (* (pow (exp x) (- -1 eps)) (+ 1 (/ -1 eps))) (* (+ 1 (/ 1 eps)) (pow (exp x) (+ eps -1)))) 1/2) |
(neg (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) (neg x))))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) (neg x)))))) 2)) |
(* (* (exp x) (+ (/ (+ 1 (/ 1 eps)) (pow (exp eps) x)) (* (pow (exp eps) x) (+ 1 (/ -1 eps))))) -1/2) |
(neg (/ (- (* (+ 1 (/ 1 (neg eps))) (exp (neg (* (- 1 (neg eps)) x)))) (* (- (/ 1 (neg eps)) 1) (exp (neg (* (+ 1 (neg eps)) x))))) 2)) |
(* (+ (* (pow (exp x) (- -1 eps)) (+ 1 (/ -1 eps))) (* (+ 1 (/ 1 eps)) (pow (exp x) (+ eps -1)))) -1/2) |
(/ (- (* (+ 1 (/ 1 x)) (exp (neg (* (- 1 x) eps)))) (* (- (/ 1 x) 1) (exp (neg (* (+ 1 x) eps))))) 2) |
(/ (+ (* (+ 1 (/ 1 x)) (pow (exp eps) (+ x -1))) (* (pow (exp eps) (- -1 x)) (+ 1 (/ -1 x)))) 2) |
(abs eps)
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 55 | 1 | (3.537308516409703e-186 3.7542374699168974e-10) | 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 | 56 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 55 | 0 |
| - | 1 | 200 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 55 | 0 | 0 |
| - | 1 | 0 | 200 |
| number | freq |
|---|---|
| 0 | 200 |
| 1 | 56 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 73.0ms | 400× | 0 | valid |
| 57.0ms | 112× | 1 | valid |
Compiled 348 to 80 computations (77% saved)
ival-exp: 58.0ms (55.7% of total)ival-mult: 14.0ms (13.4% of total)ival-div: 9.0ms (8.6% of total)ival-sub: 8.0ms (7.7% of total)ival-add: 6.0ms (5.8% of total)ival-neg: 5.0ms (4.8% of total)adjust: 3.0ms (2.9% of total)exact: 1.0ms (1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)Compiled 2 to 2 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 79.2% | (/.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 31 to 19 computations (38.7% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 128 | (*.f64 (+.f64 #s(literal 1 binary64) eps) x) |
| ✓ | cost-diff | 128 | (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)) |
| ✓ | cost-diff | 192 | (-.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))))) |
| ✓ | cost-diff | 704 | (/.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)) |
| 11 102× | accelerator-lowering-fma.f32 |
| 11 102× | accelerator-lowering-fma.f64 |
| 2 706× | *-lowering-*.f32 |
| 2 706× | *-lowering-*.f64 |
| 1 598× | --lowering--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 141 |
| 1 | 55 | 141 |
| 2 | 154 | 131 |
| 3 | 495 | 131 |
| 4 | 1112 | 131 |
| 5 | 3326 | 129 |
| 6 | 7585 | 129 |
| 0 | 8121 | 123 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (- (* (+ 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)) |
1 |
(/ 1 eps) |
eps |
(exp (neg (* (- 1 eps) x))) |
(neg (* (- 1 eps) x)) |
(* (- 1 eps) x) |
(- 1 eps) |
x |
(* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) |
(- (/ 1 eps) 1) |
(exp (neg (* (+ 1 eps) x))) |
(neg (* (+ 1 eps) x)) |
(* (+ 1 eps) x) |
(+ 1 eps) |
2 |
| Outputs |
|---|
(/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) |
(fma.f64 (exp.f64 (fma.f64 x (+.f64 eps #s(literal -1 binary64)) #s(literal 0 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal 1/2 binary64)) (fma.f64 (exp.f64 (fma.f64 x (-.f64 #s(literal -1 binary64) eps) #s(literal 0 binary64))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) #s(literal 0 binary64))) |
(- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) |
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (fma.f64 x (+.f64 eps #s(literal -1 binary64)) #s(literal 0 binary64))) (fma.f64 (exp.f64 (fma.f64 x (-.f64 #s(literal -1 binary64) eps) #s(literal 0 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) #s(literal 0 binary64))) |
(* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) |
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (fma.f64 x (+.f64 eps #s(literal -1 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) |
(+ 1 (/ 1 eps)) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) |
1 |
#s(literal 1 binary64) |
(/ 1 eps) |
(/.f64 #s(literal 1 binary64) eps) |
eps |
(exp (neg (* (- 1 eps) x))) |
(exp.f64 (fma.f64 x (+.f64 eps #s(literal -1 binary64)) #s(literal 0 binary64))) |
(neg (* (- 1 eps) x)) |
(fma.f64 x (+.f64 eps #s(literal -1 binary64)) #s(literal 0 binary64)) |
(* (- 1 eps) x) |
(fma.f64 (-.f64 #s(literal 1 binary64) eps) x #s(literal 0 binary64)) |
(- 1 eps) |
(-.f64 #s(literal 1 binary64) eps) |
x |
(* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) |
(fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (fma.f64 x (-.f64 #s(literal -1 binary64) eps) #s(literal 0 binary64))) #s(literal 0 binary64)) |
(- (/ 1 eps) 1) |
(+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) |
(exp (neg (* (+ 1 eps) x))) |
(exp.f64 (fma.f64 x (-.f64 #s(literal -1 binary64) eps) #s(literal 0 binary64))) |
(neg (* (+ 1 eps) x)) |
(fma.f64 x (-.f64 #s(literal -1 binary64) eps) #s(literal 0 binary64)) |
(* (+ 1 eps) x) |
(fma.f64 eps x x) |
(+ 1 eps) |
(+.f64 #s(literal 1 binary64) eps) |
2 |
#s(literal 2 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 (+.f64 #s(literal 1 binary64) eps) x) |
| ✓ | accuracy | 100.0% | (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))) |
| ✓ | accuracy | 100.0% | (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) |
| ✓ | accuracy | 79.2% | (-.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))))) |
| 32.0ms | 200× | 0 | valid |
| 19.0ms | 56× | 1 | valid |
Compiled 143 to 21 computations (85.3% saved)
ival-exp: 8.0ms (21.2% of total)ival-neg: 8.0ms (21.2% of total)ival-mult: 7.0ms (18.5% of total)ival-sub: 6.0ms (15.9% of total)ival-div: 5.0ms (13.2% of total)ival-add: 3.0ms (7.9% of total)adjust: 1.0ms (2.6% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2)> |
#<alt (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))))> |
#<alt (neg (* (- 1 eps) x))> |
#<alt (* (+ 1 eps) x)> |
#<alt (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x))))> |
#<alt (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))> |
| Outputs |
|---|
#<alt (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))))> |
#<alt (+ (* 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))))))))> |
#<alt (+ (* 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))))))))))> |
#<alt (+ (* 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))))))))))))> |
#<alt (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps)))))))> |
#<alt (+ (* 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)))> |
#<alt (+ (* 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)))> |
#<alt (+ (* 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)))> |
#<alt (* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))))> |
#<alt (+ (* -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)))))))))> |
#<alt (+ (* -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)))))))))> |
#<alt (+ (* -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)))))))))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 (* x (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1)))))))> |
#<alt (+ 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))))))))> |
#<alt (+ 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))))))))))> |
#<alt (* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))))> |
#<alt (* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))))> |
#<alt (* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))))> |
#<alt (* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))))> |
#<alt (* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))))> |
#<alt (* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))))> |
#<alt (* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))))> |
#<alt (* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))))> |
#<alt (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))> |
#<alt (- (+ (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))))))> |
#<alt (- (+ (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))))))> |
#<alt (- (+ (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))))))> |
#<alt (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))> |
#<alt (- (+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps)) (+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps)))> |
#<alt (- (+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps)) (+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps)))> |
#<alt (- (+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps)) (+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps)))> |
#<alt (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))> |
#<alt (- (+ (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)))))))> |
#<alt (- (+ (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)))))))> |
#<alt (- (+ (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)))))))> |
#<alt 2> |
#<alt (+ 2 (* x (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))> |
#<alt (+ 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))))))> |
#<alt (+ 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))))))> |
#<alt (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1)))> |
#<alt (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1)))> |
#<alt (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1)))> |
#<alt (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1)))> |
#<alt (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))> |
#<alt (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))> |
#<alt (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))> |
#<alt (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))> |
#<alt (* -1 x)> |
#<alt (- (* eps x) x)> |
#<alt (- (* eps x) x)> |
#<alt (- (* eps x) x)> |
#<alt (* eps x)> |
#<alt (* eps (- (* -1 (/ x eps)) (* -1 x)))> |
#<alt (* eps (- (* -1 (/ x eps)) (* -1 x)))> |
#<alt (* eps (- (* -1 (/ x eps)) (* -1 x)))> |
#<alt (* eps x)> |
#<alt (* -1 (* eps (- (/ x eps) x)))> |
#<alt (* -1 (* eps (- (/ x eps) x)))> |
#<alt (* -1 (* eps (- (/ x eps) x)))> |
#<alt (* x (- eps 1))> |
#<alt (* x (- eps 1))> |
#<alt (* x (- eps 1))> |
#<alt (* x (- eps 1))> |
#<alt (* x (- eps 1))> |
#<alt (* x (- eps 1))> |
#<alt (* x (- eps 1))> |
#<alt (* x (- eps 1))> |
#<alt (* -1 (* x (- 1 eps)))> |
#<alt (* -1 (* x (- 1 eps)))> |
#<alt (* -1 (* x (- 1 eps)))> |
#<alt (* -1 (* x (- 1 eps)))> |
#<alt x> |
#<alt (+ x (* eps x))> |
#<alt (+ x (* eps x))> |
#<alt (+ x (* eps x))> |
#<alt (* eps x)> |
#<alt (* eps (+ x (/ x eps)))> |
#<alt (* eps (+ x (/ x eps)))> |
#<alt (* eps (+ x (/ x eps)))> |
#<alt (* eps x)> |
#<alt (* -1 (* eps (+ (* -1 x) (* -1 (/ x eps)))))> |
#<alt (* -1 (* eps (+ (* -1 x) (* -1 (/ x eps)))))> |
#<alt (* -1 (* eps (+ (* -1 x) (* -1 (/ x eps)))))> |
#<alt (* x (+ 1 eps))> |
#<alt (* x (+ 1 eps))> |
#<alt (* x (+ 1 eps))> |
#<alt (* x (+ 1 eps))> |
#<alt (* x (+ 1 eps))> |
#<alt (* x (+ 1 eps))> |
#<alt (* x (+ 1 eps))> |
#<alt (* x (+ 1 eps))> |
#<alt (* x (+ 1 eps))> |
#<alt (* x (+ 1 eps))> |
#<alt (* x (+ 1 eps))> |
#<alt (* x (+ 1 eps))> |
#<alt (/ (exp (neg x)) eps)> |
#<alt (/ (+ (exp (neg x)) (* eps (+ (exp (neg x)) (* x (exp (neg x)))))) eps)> |
#<alt (/ (+ (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)> |
#<alt (/ (+ (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)> |
#<alt (exp (neg (* x (- 1 eps))))> |
#<alt (+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps))> |
#<alt (+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps))> |
#<alt (+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps))> |
#<alt (exp (neg (* x (+ 1 (* -1 eps)))))> |
#<alt (+ (exp (neg (* x (+ 1 (* -1 eps))))) (/ (exp (neg (* x (+ 1 (* -1 eps))))) eps))> |
#<alt (+ (exp (neg (* x (+ 1 (* -1 eps))))) (/ (exp (neg (* x (+ 1 (* -1 eps))))) eps))> |
#<alt (+ (exp (neg (* x (+ 1 (* -1 eps))))) (/ (exp (neg (* x (+ 1 (* -1 eps))))) eps))> |
#<alt (+ 1 (/ 1 eps))> |
#<alt (+ 1 (+ (* x (* (+ 1 (/ 1 eps)) (- eps 1))) (/ 1 eps)))> |
#<alt (+ 1 (+ (* x (+ (* 1/2 (* x (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2)))) (* (+ 1 (/ 1 eps)) (- eps 1)))) (/ 1 eps)))> |
#<alt (+ 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)))> |
#<alt (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps)))> |
#<alt (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps)))> |
#<alt (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps)))> |
#<alt (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps)))> |
#<alt (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps)))> |
#<alt (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps)))> |
#<alt (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps)))> |
#<alt (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps)))> |
#<alt (/ (exp (neg x)) eps)> |
#<alt (/ (+ (exp (neg x)) (* eps (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) eps)> |
#<alt (/ (+ (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)> |
#<alt (/ (+ (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)> |
#<alt (* -1 (exp (neg (* x (+ 1 eps)))))> |
#<alt (+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps))> |
#<alt (+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps))> |
#<alt (+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps))> |
#<alt (* -1 (exp (neg (* x (- 1 (* -1 eps))))))> |
#<alt (+ (* -1 (exp (neg (* x (- 1 (* -1 eps)))))) (/ (exp (neg (* x (- 1 (* -1 eps))))) eps))> |
#<alt (+ (* -1 (exp (neg (* x (- 1 (* -1 eps)))))) (/ (exp (neg (* x (- 1 (* -1 eps))))) eps))> |
#<alt (+ (* -1 (exp (neg (* x (- 1 (* -1 eps)))))) (/ (exp (neg (* x (- 1 (* -1 eps))))) eps))> |
#<alt (- (/ 1 eps) 1)> |
#<alt (- (+ (* -1 (* x (* (+ 1 eps) (- (/ 1 eps) 1)))) (/ 1 eps)) 1)> |
#<alt (- (+ (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (* 1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) (/ 1 eps)) 1)> |
#<alt (- (+ (* 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)> |
#<alt (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))> |
#<alt (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))> |
#<alt (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))> |
#<alt (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))> |
#<alt (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))> |
#<alt (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))> |
#<alt (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))> |
#<alt (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))> |
36 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | 0 | (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) |
| 3.0ms | eps | @ | -inf | (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) |
| 3.0ms | eps | @ | 0 | (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) |
| 2.0ms | x | @ | -inf | (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) |
| 1.0ms | x | @ | inf | (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) |
| 1× | batch-egg-rewrite |
| 4 830× | accelerator-lowering-fma.f32 |
| 4 830× | accelerator-lowering-fma.f64 |
| 3 930× | /-lowering-/.f32 |
| 3 930× | /-lowering-/.f64 |
| 3 926× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 93 |
| 1 | 116 | 87 |
| 2 | 917 | 86 |
| 0 | 8910 | 78 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (- (* (+ 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))))) |
(neg (* (- 1 eps) x)) |
(* (+ 1 eps) x) |
(* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) |
(* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) |
| Outputs |
|---|
(+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) #s(literal 1/2 binary64)) (*.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps))) #s(literal 1/2 binary64))) |
(+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps))) #s(literal 1/2 binary64)))) |
(+.f64 (*.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps))) #s(literal 1/2 binary64)) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) #s(literal 1/2 binary64))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps))))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))))) |
(+.f64 (*.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (exp.f64 (*.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) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 (exp.f64 (*.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) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))) #s(literal -1/2 binary64))) |
(-.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) #s(literal 1/2 binary64)))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))) (exp.f64 (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) #s(literal 3 binary64)))) (fma.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (exp.f64 (fma.f64 x (+.f64 eps #s(literal -1 binary64)) (*.f64 x (+.f64 eps #s(literal -1 binary64)))))))) #s(literal 2 binary64)) (/.f64 (/.f64 (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (exp.f64 (fma.f64 x (+.f64 eps #s(literal -1 binary64)) (*.f64 x (+.f64 eps #s(literal -1 binary64)))))))) #s(literal 2 binary64))) |
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(fma.f64 (/.f64 #s(literal 1 binary64) eps) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) |
(fma.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (/.f64 #s(literal 1 binary64) eps) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) #s(literal -1 binary64))) |
(fma.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) #s(literal -1 binary64) (/.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) eps)) |
(fma.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (*.f64 (/.f64 #s(literal 1 binary64) eps) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) |
(neg.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (fma.f64 eps x x))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 eps eps)) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) (*.f64 eps eps)))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps))) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 eps eps)) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) (*.f64 eps eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps))) #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 eps eps)) #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) (*.f64 eps eps))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps))) #s(literal -1 binary64)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 eps eps)) #s(literal -1 binary64)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))) |
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (fma.f64 eps x x))) |
(/.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)))) |
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps))) #s(literal -1 binary64)) (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) (*.f64 eps eps))) (exp.f64 (fma.f64 eps x x)))) |
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps))) #s(literal -1 binary64)) (*.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) (*.f64 eps eps))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal 0 binary64) (exp.f64 (fma.f64 eps x x)))) |
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 eps eps)) #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (fma.f64 eps x x)))) |
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 eps eps)) #s(literal -1 binary64)) (*.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))) |
(/.f64 (+.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps)))) #s(literal 1 binary64)) (neg.f64 (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) (*.f64 eps eps))) (exp.f64 (fma.f64 eps x x))))) |
(/.f64 (+.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps)))) #s(literal 1 binary64)) (neg.f64 (*.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) (*.f64 eps eps)))))) |
(/.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 eps eps)) #s(literal 1 binary64)) (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (fma.f64 eps x x))))) |
(/.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 eps eps)) #s(literal 1 binary64)) (neg.f64 (*.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))))) |
(/.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps))) #s(literal -1 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) (*.f64 eps eps)))) |
(/.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 eps eps)) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) |
(/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps))) #s(literal -1 binary64)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) (*.f64 eps eps)))) |
(/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 eps eps)) #s(literal -1 binary64)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) |
(/.f64 (neg.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps))) #s(literal -1 binary64)))) (+.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) eps)) (/.f64 #s(literal -1 binary64) (*.f64 eps eps)))) |
(/.f64 (neg.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 eps eps)) #s(literal -1 binary64)))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) eps))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps))) #s(literal -1 binary64)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) (+.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) eps)) (/.f64 #s(literal -1 binary64) (*.f64 eps eps)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 eps eps)) #s(literal -1 binary64)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) eps))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) eps) #s(literal 3 binary64)) (pow.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) eps) (/.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) eps) (-.f64 (*.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) #s(literal -1 binary64)) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) #s(literal -1 binary64))) (*.f64 (/.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) eps) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) #s(literal -1 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) eps) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) eps) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (*.f64 (/.f64 #s(literal 1 binary64) eps) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) eps) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) eps) (/.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) eps)) (*.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) #s(literal -1 binary64)) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) #s(literal -1 binary64)))) (-.f64 (/.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) eps) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) eps) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (*.f64 (/.f64 #s(literal 1 binary64) eps) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) (*.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))) (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) eps) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))) |
(*.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) |
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (/.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) #s(literal 1 binary64))) |
(*.f64 (exp.f64 (*.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 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))) |
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) (*.f64 eps eps))) (exp.f64 (fma.f64 eps x x))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) (*.f64 eps eps)))))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 eps eps)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (fma.f64 eps x x))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 eps eps)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps))) |
(*.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) (*.f64 eps eps))))) |
(*.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 eps eps)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) eps)))) |
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps))) #s(literal -1 binary64)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) (*.f64 eps eps))))) |
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 eps eps)) #s(literal -1 binary64)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) eps)))) |
(*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 eps eps)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps))))) (/.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) eps))))) |
(*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 eps eps)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 eps eps)))) (/.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))))) |
(*.f64 (/.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 eps eps)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps))))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 eps eps)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) eps))))) |
(*.f64 (/.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 eps eps)))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 eps eps)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))))) |
| 1× | egg-herbie |
| 16 366× | accelerator-lowering-fma.f32 |
| 16 366× | accelerator-lowering-fma.f64 |
| 4 512× | +-lowering-+.f64 |
| 4 512× | +-lowering-+.f32 |
| 4 372× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 299 | 3116 |
| 1 | 975 | 2807 |
| 2 | 3405 | 2490 |
| 0 | 8361 | 2351 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 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)))))))))))) |
(* 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))) |
(+ (* 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))) |
(+ (* 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))) |
(* 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))))))))) |
(+ (* -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))))))))) |
(+ (* -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))))))))) |
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)))))))))) |
(* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1)))) |
(* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1)))) |
(* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1)))) |
(* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1)))) |
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))) |
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))) |
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))) |
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))) |
(- (+ (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 (- 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)) (+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) 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 (* -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 (/ (- (* -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 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) |
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)))))) |
(- (* (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))) |
(- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 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))) |
(- (* (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 x) |
(- (* eps x) x) |
(- (* eps x) x) |
(- (* eps x) x) |
(* eps x) |
(* eps (- (* -1 (/ x eps)) (* -1 x))) |
(* eps (- (* -1 (/ x eps)) (* -1 x))) |
(* eps (- (* -1 (/ x eps)) (* -1 x))) |
(* eps x) |
(* -1 (* eps (- (/ x eps) x))) |
(* -1 (* eps (- (/ x eps) x))) |
(* -1 (* eps (- (/ x eps) x))) |
(* x (- eps 1)) |
(* x (- eps 1)) |
(* x (- eps 1)) |
(* x (- eps 1)) |
(* x (- eps 1)) |
(* x (- eps 1)) |
(* x (- eps 1)) |
(* x (- eps 1)) |
(* -1 (* x (- 1 eps))) |
(* -1 (* x (- 1 eps))) |
(* -1 (* x (- 1 eps))) |
(* -1 (* x (- 1 eps))) |
x |
(+ x (* eps x)) |
(+ x (* eps x)) |
(+ x (* eps x)) |
(* eps x) |
(* eps (+ x (/ x eps))) |
(* eps (+ x (/ x eps))) |
(* eps (+ x (/ x eps))) |
(* eps x) |
(* -1 (* eps (+ (* -1 x) (* -1 (/ x eps))))) |
(* -1 (* eps (+ (* -1 x) (* -1 (/ x eps))))) |
(* -1 (* eps (+ (* -1 x) (* -1 (/ x eps))))) |
(* x (+ 1 eps)) |
(* x (+ 1 eps)) |
(* x (+ 1 eps)) |
(* x (+ 1 eps)) |
(* x (+ 1 eps)) |
(* x (+ 1 eps)) |
(* x (+ 1 eps)) |
(* x (+ 1 eps)) |
(* x (+ 1 eps)) |
(* x (+ 1 eps)) |
(* x (+ 1 eps)) |
(* x (+ 1 eps)) |
(/ (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) |
(exp (neg (* x (- 1 eps)))) |
(+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps)) |
(+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps)) |
(+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps)) |
(exp (neg (* x (+ 1 (* -1 eps))))) |
(+ (exp (neg (* x (+ 1 (* -1 eps))))) (/ (exp (neg (* x (+ 1 (* -1 eps))))) eps)) |
(+ (exp (neg (* x (+ 1 (* -1 eps))))) (/ (exp (neg (* x (+ 1 (* -1 eps))))) eps)) |
(+ (exp (neg (* x (+ 1 (* -1 eps))))) (/ (exp (neg (* x (+ 1 (* -1 eps))))) 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 (- (* eps x) x)) (+ 1 (/ 1 eps))) |
(* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) |
(* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) |
(* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) |
(* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) |
(* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) |
(* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) |
(/ (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) |
(* -1 (exp (neg (* x (+ 1 eps))))) |
(+ (* -1 (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))))) (/ (exp (neg (* x (+ 1 eps)))) eps)) |
(* -1 (exp (neg (* x (- 1 (* -1 eps)))))) |
(+ (* -1 (exp (neg (* x (- 1 (* -1 eps)))))) (/ (exp (neg (* x (- 1 (* -1 eps))))) eps)) |
(+ (* -1 (exp (neg (* x (- 1 (* -1 eps)))))) (/ (exp (neg (* x (- 1 (* -1 eps))))) eps)) |
(+ (* -1 (exp (neg (* x (- 1 (* -1 eps)))))) (/ (exp (neg (* x (- 1 (* -1 eps))))) 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) |
(* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1)) |
(* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1)) |
(* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1)) |
(* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1)) |
(* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)) |
(* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)) |
(* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)) |
(* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)) |
| Outputs |
|---|
(* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (+.f64 (+.f64 x #s(literal 2 binary64)) 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)))))))) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 eps eps) (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (-.f64 (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 (*.f64 x x) (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64))))) (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (+.f64 (+.f64 x #s(literal 2 binary64)) 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)))))))))) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (-.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/120 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/24 binary64))))) (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (-.f64 (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 (*.f64 x x) (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64)))))) (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (+.f64 (+.f64 x #s(literal 2 binary64)) 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)))))))))))) |
(fma.f64 (*.f64 eps eps) (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (-.f64 (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)))) (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 (-.f64 #s(literal 0 binary64) x)) (-.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/120 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/24 binary64)))))) (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (-.f64 (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 (*.f64 x x) (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))) |
(* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) 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))) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) 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))) |
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(*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) |
(* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)) |
(*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) |
Compiled 32 832 to 2 457 computations (92.5% saved)
7 alts after pruning (7 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 637 | 7 | 644 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 638 | 7 | 645 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 41.3% | (fma.f64 (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps))) (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) |
| ▶ | 73.8% | (fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps)) (*.f64 x (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))))))) #s(literal 1 binary64)) |
| 41.7% | (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #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))))) #s(literal 2 binary64)) | |
| 42.4% | (/.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)))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64)) | |
| ▶ | 99.2% | (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) |
| ▶ | 55.9% | (*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x))) |
| ▶ | 41.3% | #s(literal 1 binary64) |
Compiled 316 to 184 computations (41.8% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 320 | (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) |
| ✓ | cost-diff | 384 | (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))) |
| ✓ | cost-diff | 640 | (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps)) (*.f64 x (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))))) |
| ✓ | cost-diff | 1984 | (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps)) (*.f64 x (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))))))) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 0 binary64) x) |
| ✓ | cost-diff | 0 | (exp.f64 (-.f64 #s(literal 0 binary64) x)) |
| ✓ | cost-diff | 0 | (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) |
| ✓ | cost-diff | 128 | (*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x))) |
| ✓ | cost-diff | 0 | (+.f64 eps #s(literal 1 binary64)) |
| ✓ | cost-diff | 320 | (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps)) |
| ✓ | cost-diff | 320 | (fma.f64 (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps))) (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) |
| ✓ | cost-diff | 2560 | (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal -1 binary64) eps) |
| ✓ | cost-diff | 0 | (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))) |
| ✓ | cost-diff | 0 | (+.f64 (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) |
| 24 000× | accelerator-lowering-fma.f32 |
| 24 000× | accelerator-lowering-fma.f64 |
| 3 866× | *-lowering-*.f32 |
| 3 866× | *-lowering-*.f64 |
| 3 212× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 489 |
| 1 | 160 | 474 |
| 2 | 636 | 461 |
| 3 | 3273 | 430 |
| 4 | 5761 | 336 |
| 0 | 8571 | 315 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (+ (exp (* x (+ -1 eps))) (exp (* x (- -1 eps))))) |
1/2 |
(+ (exp (* x (+ -1 eps))) (exp (* x (- -1 eps)))) |
(exp (* x (+ -1 eps))) |
(* x (+ -1 eps)) |
x |
(+ -1 eps) |
-1 |
eps |
(exp (* x (- -1 eps))) |
(* x (- -1 eps)) |
(- -1 eps) |
1 |
(+ (* (+ (* (+ eps 1) (+ -1 (/ 1 eps))) (* (+ 1 (/ 1 eps)) (+ -1 eps))) (* 1/2 x)) 1) |
(+ (* (+ eps 1) (+ -1 (/ 1 eps))) (* (+ 1 (/ 1 eps)) (+ -1 eps))) |
(+ eps 1) |
eps |
1 |
(+ -1 (/ 1 eps)) |
-1 |
(/ 1 eps) |
(* (+ 1 (/ 1 eps)) (+ -1 eps)) |
(+ 1 (/ 1 eps)) |
(+ -1 eps) |
(* 1/2 x) |
1/2 |
x |
(* 1/2 (* (exp (- 0 x)) (+ (+ x 2) x))) |
1/2 |
(* (exp (- 0 x)) (+ (+ x 2) x)) |
(exp (- 0 x)) |
(- 0 x) |
0 |
x |
(+ (+ x 2) x) |
(+ x 2) |
2 |
(+ (* 1/2 (* x (+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (+ (* (* 1/2 x) (* (- 1 eps) (- 1 eps))) (+ -1 eps))) (* x (* (* -1/2 (+ -1 (/ 1 eps))) (* (+ eps 1) (+ eps 1)))))))) 1) |
1/2 |
(* x (+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (+ (* (* 1/2 x) (* (- 1 eps) (- 1 eps))) (+ -1 eps))) (* x (* (* -1/2 (+ -1 (/ 1 eps))) (* (+ eps 1) (+ eps 1))))))) |
x |
(+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (+ (* (* 1/2 x) (* (- 1 eps) (- 1 eps))) (+ -1 eps))) (* x (* (* -1/2 (+ -1 (/ 1 eps))) (* (+ eps 1) (+ eps 1)))))) |
(+ eps 1) |
eps |
1 |
(+ -1 (/ 1 eps)) |
-1 |
(/ 1 eps) |
(+ (* (+ 1 (/ 1 eps)) (+ (* (* 1/2 x) (* (- 1 eps) (- 1 eps))) (+ -1 eps))) (* x (* (* -1/2 (+ -1 (/ 1 eps))) (* (+ eps 1) (+ eps 1))))) |
(+ 1 (/ 1 eps)) |
(+ (* (* 1/2 x) (* (- 1 eps) (- 1 eps))) (+ -1 eps)) |
(* 1/2 x) |
(* (- 1 eps) (- 1 eps)) |
(- 1 eps) |
(+ -1 eps) |
(* x (* (* -1/2 (+ -1 (/ 1 eps))) (* (+ eps 1) (+ eps 1)))) |
(* (* -1/2 (+ -1 (/ 1 eps))) (* (+ eps 1) (+ eps 1))) |
(* -1/2 (+ -1 (/ 1 eps))) |
-1/2 |
(* (+ eps 1) (+ eps 1)) |
| Outputs |
|---|
(* 1/2 (+ (exp (* x (+ -1 eps))) (exp (* x (- -1 eps))))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (fma.f64 x (+.f64 #s(literal -1 binary64) eps) #s(literal 0 binary64))) (exp.f64 (fma.f64 x (-.f64 #s(literal -1 binary64) eps) #s(literal 0 binary64))))) |
1/2 |
#s(literal 1/2 binary64) |
(+ (exp (* x (+ -1 eps))) (exp (* x (- -1 eps)))) |
(+.f64 (exp.f64 (fma.f64 x (+.f64 #s(literal -1 binary64) eps) #s(literal 0 binary64))) (exp.f64 (fma.f64 x (-.f64 #s(literal -1 binary64) eps) #s(literal 0 binary64)))) |
(exp (* x (+ -1 eps))) |
(exp.f64 (fma.f64 x (+.f64 #s(literal -1 binary64) eps) #s(literal 0 binary64))) |
(* x (+ -1 eps)) |
(fma.f64 x (+.f64 #s(literal -1 binary64) eps) #s(literal 0 binary64)) |
x |
(+ -1 eps) |
(+.f64 #s(literal -1 binary64) eps) |
-1 |
#s(literal -1 binary64) |
eps |
(exp (* x (- -1 eps))) |
(exp.f64 (fma.f64 x (-.f64 #s(literal -1 binary64) eps) #s(literal 0 binary64))) |
(* x (- -1 eps)) |
(fma.f64 x (-.f64 #s(literal -1 binary64) eps) #s(literal 0 binary64)) |
(- -1 eps) |
(-.f64 #s(literal -1 binary64) eps) |
1 |
#s(literal 1 binary64) |
(+ (* (+ (* (+ eps 1) (+ -1 (/ 1 eps))) (* (+ 1 (/ 1 eps)) (+ -1 eps))) (* 1/2 x)) 1) |
(fma.f64 x #s(literal 0 binary64) #s(literal 1 binary64)) |
(+ (* (+ eps 1) (+ -1 (/ 1 eps))) (* (+ 1 (/ 1 eps)) (+ -1 eps))) |
#s(literal 0 binary64) |
(+ eps 1) |
(+.f64 eps #s(literal 1 binary64)) |
eps |
1 |
#s(literal 1 binary64) |
(+ -1 (/ 1 eps)) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) |
-1 |
#s(literal -1 binary64) |
(/ 1 eps) |
(/.f64 #s(literal 1 binary64) eps) |
(* (+ 1 (/ 1 eps)) (+ -1 eps)) |
(-.f64 #s(literal 0 binary64) (-.f64 (/.f64 #s(literal 1 binary64) eps) eps)) |
(+ 1 (/ 1 eps)) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) |
(+ -1 eps) |
(+.f64 #s(literal -1 binary64) eps) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
1/2 |
#s(literal 1/2 binary64) |
x |
(* 1/2 (* (exp (- 0 x)) (+ (+ x 2) x))) |
(*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (+.f64 x x) #s(literal 1 binary64))) |
1/2 |
#s(literal 1/2 binary64) |
(* (exp (- 0 x)) (+ (+ x 2) x)) |
(*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) |
(exp (- 0 x)) |
(exp.f64 (-.f64 #s(literal 0 binary64) x)) |
(- 0 x) |
(-.f64 #s(literal 0 binary64) x) |
0 |
#s(literal 0 binary64) |
x |
(+ (+ x 2) x) |
(fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) |
(+ x 2) |
(+.f64 x #s(literal 2 binary64)) |
2 |
#s(literal 2 binary64) |
(+ (* 1/2 (* x (+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (+ (* (* 1/2 x) (* (- 1 eps) (- 1 eps))) (+ -1 eps))) (* x (* (* -1/2 (+ -1 (/ 1 eps))) (* (+ eps 1) (+ eps 1)))))))) 1) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 x (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) eps) (fma.f64 eps #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) eps) (fma.f64 eps #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 0 binary64))) #s(literal 1 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(* x (+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (+ (* (* 1/2 x) (* (- 1 eps) (- 1 eps))) (+ -1 eps))) (* x (* (* -1/2 (+ -1 (/ 1 eps))) (* (+ eps 1) (+ eps 1))))))) |
(*.f64 x (fma.f64 x (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) eps) (fma.f64 eps #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) eps) (fma.f64 eps #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 0 binary64))) |
x |
(+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (+ (* (* 1/2 x) (* (- 1 eps) (- 1 eps))) (+ -1 eps))) (* x (* (* -1/2 (+ -1 (/ 1 eps))) (* (+ eps 1) (+ eps 1)))))) |
(fma.f64 x (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) eps) (fma.f64 eps #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) eps) (fma.f64 eps #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 0 binary64)) |
(+ eps 1) |
(+.f64 eps #s(literal 1 binary64)) |
eps |
1 |
#s(literal 1 binary64) |
(+ -1 (/ 1 eps)) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) |
-1 |
#s(literal -1 binary64) |
(/ 1 eps) |
(/.f64 #s(literal 1 binary64) eps) |
(+ (* (+ 1 (/ 1 eps)) (+ (* (* 1/2 x) (* (- 1 eps) (- 1 eps))) (+ -1 eps))) (* x (* (* -1/2 (+ -1 (/ 1 eps))) (* (+ eps 1) (+ eps 1))))) |
(fma.f64 x (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) eps) (fma.f64 eps #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) eps) (-.f64 (*.f64 x (fma.f64 eps #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64))) |
(+ 1 (/ 1 eps)) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) |
(+ (* (* 1/2 x) (* (- 1 eps) (- 1 eps))) (+ -1 eps)) |
(+.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 x (-.f64 #s(literal 1 binary64) eps) #s(literal 0 binary64)) (fma.f64 eps #s(literal -1/2 binary64) #s(literal 1/2 binary64)) eps)) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* (- 1 eps) (- 1 eps)) |
(*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1 binary64) eps)) |
(- 1 eps) |
(-.f64 #s(literal 1 binary64) eps) |
(+ -1 eps) |
(+.f64 #s(literal -1 binary64) eps) |
(* x (* (* -1/2 (+ -1 (/ 1 eps))) (* (+ eps 1) (+ eps 1)))) |
(fma.f64 x (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) eps) (fma.f64 eps #s(literal -1/2 binary64) #s(literal -1/2 binary64))) #s(literal 0 binary64)) |
(* (* -1/2 (+ -1 (/ 1 eps))) (* (+ eps 1) (+ eps 1))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) eps) (fma.f64 eps #s(literal -1/2 binary64) #s(literal -1/2 binary64))) |
(* -1/2 (+ -1 (/ 1 eps))) |
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)) |
-1/2 |
#s(literal -1/2 binary64) |
(* (+ eps 1) (+ eps 1)) |
(fma.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 eps #s(literal 1 binary64))) #s(literal 1 binary64)) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 91.5% | (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps)) |
| ✓ | accuracy | 91.4% | (*.f64 x (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))))) |
| ✓ | accuracy | 86.2% | (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps)) (*.f64 x (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))))) |
| ✓ | accuracy | 55.0% | (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps)) (*.f64 x (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))))))) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x))) |
| ✓ | accuracy | 100.0% | (exp.f64 (-.f64 #s(literal 0 binary64) x)) |
| ✓ | accuracy | 100.0% | (+.f64 (+.f64 x #s(literal 2 binary64)) x) |
| ✓ | accuracy | 100.0% | (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal -1 binary64) eps) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 1/2 binary64) x) |
| ✓ | accuracy | 100.0% | (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps)) |
| ✓ | accuracy | 94.3% | (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps))) |
| ✓ | accuracy | 100.0% | (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) |
| ✓ | accuracy | 100.0% | (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))) |
| ✓ | accuracy | 100.0% | (*.f64 x (+.f64 #s(literal -1 binary64) eps)) |
| ✓ | accuracy | 100.0% | (*.f64 x (-.f64 #s(literal -1 binary64) eps)) |
| 110.0ms | 168× | 1 | valid |
| 91.0ms | 88× | 2 | valid |
Compiled 461 to 48 computations (89.6% saved)
ival-mult: 59.0ms (40.2% of total)ival-add: 43.0ms (29.3% of total)adjust: 21.0ms (14.3% of total)ival-exp: 11.0ms (7.5% of total)ival-sub: 7.0ms (4.8% of total)ival-div: 4.0ms (2.7% of total)exact: 1.0ms (0.7% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* 1/2 (+ (exp (* x (+ -1 eps))) (exp (* x (- -1 eps)))))> |
#<alt (+ (exp (* x (+ -1 eps))) (exp (* x (- -1 eps))))> |
#<alt (exp (* x (+ -1 eps)))> |
#<alt (+ -1 eps)> |
#<alt (+ (* (+ eps 1) (+ -1 (/ 1 eps))) (* (+ 1 (/ 1 eps)) (+ -1 eps)))> |
#<alt (+ (* (+ (* (+ eps 1) (+ -1 (/ 1 eps))) (* (+ 1 (/ 1 eps)) (+ -1 eps))) (* 1/2 x)) 1)> |
#<alt (* (+ 1 (/ 1 eps)) (+ -1 eps))> |
#<alt (+ eps 1)> |
#<alt (* 1/2 (* (exp (- 0 x)) (+ (+ x 2) x)))> |
#<alt (* (exp (- 0 x)) (+ (+ x 2) x))> |
#<alt (exp (- 0 x))> |
#<alt (- 0 x)> |
#<alt (+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (+ (* (* 1/2 x) (* (- 1 eps) (- 1 eps))) (+ -1 eps))) (* x (* (* -1/2 (+ -1 (/ 1 eps))) (* (+ eps 1) (+ eps 1))))))> |
#<alt (+ (* (+ 1 (/ 1 eps)) (+ (* (* 1/2 x) (* (- 1 eps) (- 1 eps))) (+ -1 eps))) (* x (* (* -1/2 (+ -1 (/ 1 eps))) (* (+ eps 1) (+ eps 1)))))> |
#<alt (* (* -1/2 (+ -1 (/ 1 eps))) (* (+ eps 1) (+ eps 1)))> |
#<alt (* -1/2 (+ -1 (/ 1 eps)))> |
#<alt (* x (- -1 eps))> |
#<alt (* x (+ -1 eps))> |
#<alt (exp (* x (- -1 eps)))> |
#<alt (* 1/2 x)> |
#<alt (+ (+ x 2) x)> |
#<alt (* x (* (* -1/2 (+ -1 (/ 1 eps))) (* (+ eps 1) (+ eps 1))))> |
#<alt (+ (* (* 1/2 x) (* (- 1 eps) (- 1 eps))) (+ -1 eps))> |
| Outputs |
|---|
#<alt 1> |
#<alt (+ 1 (* 1/2 (* x (- (+ eps (* -1 (+ 1 eps))) 1))))> |
#<alt (+ 1 (* x (+ (* 1/2 (* x (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- eps 1) 2))))) (* 1/2 (- (+ eps (* -1 (+ 1 eps))) 1)))))> |
#<alt (+ 1 (* x (+ (* 1/2 (- (+ eps (* -1 (+ 1 eps))) 1)) (* x (+ (* 1/2 (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3))))) (* 1/2 (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- eps 1) 2)))))))))> |
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))> |
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))> |
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))> |
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))> |
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))> |
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))> |
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))> |
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))> |
#<alt (exp (* -1 x))> |
#<alt (+ (exp (* -1 x)) (* 1/2 (* eps (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (* -1 x)))))))> |
#<alt (+ (exp (* -1 x)) (* eps (+ (* 1/2 (* eps (* (pow x 2) (exp (* -1 x))))) (* 1/2 (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (* -1 x))))))))> |
#<alt (+ (exp (* -1 x)) (* eps (+ (* 1/2 (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (* -1 x))))) (* eps (+ (* 1/2 (* eps (+ (* -1/6 (* (pow x 3) (exp (* -1 x)))) (* 1/6 (* (pow x 3) (exp (* -1 x))))))) (* 1/2 (* (pow x 2) (exp (* -1 x)))))))))> |
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))> |
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))> |
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))> |
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))> |
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1)))))> |
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1)))))> |
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1)))))> |
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1)))))> |
#<alt 2> |
#<alt (+ 2 (* x (- (+ eps (* -1 (+ 1 eps))) 1)))> |
#<alt (+ 2 (* x (- (+ eps (+ (* -1 (+ 1 eps)) (* x (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- eps 1) 2)))))) 1)))> |
#<alt (+ 2 (* x (- (+ eps (+ (* -1 (+ 1 eps)) (* x (+ (* 1/2 (pow (+ 1 eps) 2)) (+ (* 1/2 (pow (- eps 1) 2)) (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3))))))))) 1)))> |
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))> |
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))> |
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))> |
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))> |
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))> |
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))> |
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))> |
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))> |
#<alt (* 2 (exp (* -1 x)))> |
#<alt (+ (* 2 (exp (* -1 x))) (* eps (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (* -1 x))))))> |
#<alt (+ (* 2 (exp (* -1 x))) (* eps (+ (* -1 (* x (exp (* -1 x)))) (+ (* eps (* (pow x 2) (exp (* -1 x)))) (* x (exp (* -1 x)))))))> |
#<alt (+ (* 2 (exp (* -1 x))) (* eps (+ (* -1 (* x (exp (* -1 x)))) (+ (* eps (+ (* eps (+ (* -1/6 (* (pow x 3) (exp (* -1 x)))) (* 1/6 (* (pow x 3) (exp (* -1 x)))))) (* (pow x 2) (exp (* -1 x))))) (* x (exp (* -1 x)))))))> |
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))> |
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))> |
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))> |
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))> |
#<alt (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1))))> |
#<alt (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1))))> |
#<alt (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1))))> |
#<alt (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1))))> |
#<alt 1> |
#<alt (+ 1 (* x (- eps 1)))> |
#<alt (+ 1 (* x (- (+ eps (* 1/2 (* x (pow (- eps 1) 2)))) 1)))> |
#<alt (+ 1 (* x (- (+ eps (* x (+ (* 1/6 (* x (pow (- eps 1) 3))) (* 1/2 (pow (- eps 1) 2))))) 1)))> |
#<alt (exp (* x (- eps 1)))> |
#<alt (exp (* x (- eps 1)))> |
#<alt (exp (* x (- eps 1)))> |
#<alt (exp (* x (- eps 1)))> |
#<alt (exp (* x (- eps 1)))> |
#<alt (exp (* x (- eps 1)))> |
#<alt (exp (* x (- eps 1)))> |
#<alt (exp (* x (- eps 1)))> |
#<alt (exp (* -1 x))> |
#<alt (+ (exp (* -1 x)) (* eps (* x (exp (* -1 x)))))> |
#<alt (+ (exp (* -1 x)) (* eps (+ (* 1/2 (* eps (* (pow x 2) (exp (* -1 x))))) (* x (exp (* -1 x))))))> |
#<alt (+ (exp (* -1 x)) (* eps (+ (* eps (+ (* 1/6 (* eps (* (pow x 3) (exp (* -1 x))))) (* 1/2 (* (pow x 2) (exp (* -1 x)))))) (* x (exp (* -1 x))))))> |
#<alt (exp (* x (- eps 1)))> |
#<alt (exp (* x (- eps 1)))> |
#<alt (exp (* x (- eps 1)))> |
#<alt (exp (* x (- eps 1)))> |
#<alt (exp (* -1 (* x (+ 1 (* -1 eps)))))> |
#<alt (exp (* -1 (* x (+ 1 (* -1 eps)))))> |
#<alt (exp (* -1 (* x (+ 1 (* -1 eps)))))> |
#<alt (exp (* -1 (* x (+ 1 (* -1 eps)))))> |
#<alt -1> |
#<alt (- eps 1)> |
#<alt (- eps 1)> |
#<alt (- eps 1)> |
#<alt eps> |
#<alt (* eps (- 1 (/ 1 eps)))> |
#<alt (* eps (- 1 (/ 1 eps)))> |
#<alt (* eps (- 1 (/ 1 eps)))> |
#<alt eps> |
#<alt (* -1 (* eps (- (/ 1 eps) 1)))> |
#<alt (* -1 (* eps (- (/ 1 eps) 1)))> |
#<alt (* -1 (* eps (- (/ 1 eps) 1)))> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt (+ 1 (* 1/2 (* x (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1))))))> |
#<alt (+ 1 (* 1/2 (* x (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1))))))> |
#<alt (+ 1 (* 1/2 (* x (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1))))))> |
#<alt (* 1/2 (* x (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1)))))> |
#<alt (* x (+ (* 1/2 (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1)))) (/ 1 x)))> |
#<alt (* x (+ (* 1/2 (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1)))) (/ 1 x)))> |
#<alt (* x (+ (* 1/2 (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1)))) (/ 1 x)))> |
#<alt (* 1/2 (* x (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1)))))> |
#<alt (* -1 (* x (- (* -1/2 (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1)))) (/ 1 x))))> |
#<alt (* -1 (* x (- (* -1/2 (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1)))) (/ 1 x))))> |
#<alt (* -1 (* x (- (* -1/2 (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1)))) (/ 1 x))))> |
#<alt (/ -1 eps)> |
#<alt (/ (- (pow eps 2) 1) eps)> |
#<alt (/ (- (pow eps 2) 1) eps)> |
#<alt (/ (- (pow eps 2) 1) eps)> |
#<alt eps> |
#<alt (* eps (- 1 (/ 1 (pow eps 2))))> |
#<alt (* eps (- 1 (/ 1 (pow eps 2))))> |
#<alt (* eps (- 1 (/ 1 (pow eps 2))))> |
#<alt eps> |
#<alt (* -1 (* eps (- (/ 1 (pow eps 2)) 1)))> |
#<alt (* -1 (* eps (- (/ 1 (pow eps 2)) 1)))> |
#<alt (* -1 (* eps (- (/ 1 (pow eps 2)) 1)))> |
#<alt 1> |
#<alt (+ 1 eps)> |
#<alt (+ 1 eps)> |
#<alt (+ 1 eps)> |
#<alt eps> |
#<alt (* eps (+ 1 (/ 1 eps)))> |
#<alt (* eps (+ 1 (/ 1 eps)))> |
#<alt (* eps (+ 1 (/ 1 eps)))> |
#<alt eps> |
#<alt (* eps (+ 1 (/ 1 eps)))> |
#<alt (* eps (+ 1 (/ 1 eps)))> |
#<alt (* eps (+ 1 (/ 1 eps)))> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (- (* 1/3 x) 1/2)))> |
#<alt (+ 1 (* (pow x 2) (- (* x (+ 1/3 (* -1/8 x))) 1/2)))> |
#<alt (* x (exp (neg x)))> |
#<alt (* x (+ (exp (neg x)) (/ (exp (neg x)) x)))> |
#<alt (* x (+ (exp (neg x)) (/ (exp (neg x)) x)))> |
#<alt (* x (+ (exp (neg x)) (/ (exp (neg x)) x)))> |
#<alt (* x (exp (* -1 x)))> |
#<alt (* -1 (* x (+ (* -1 (exp (* -1 x))) (* -1 (/ (exp (* -1 x)) x)))))> |
#<alt (* -1 (* x (+ (* -1 (exp (* -1 x))) (* -1 (/ (exp (* -1 x)) x)))))> |
#<alt (* -1 (* x (+ (* -1 (exp (* -1 x))) (* -1 (/ (exp (* -1 x)) x)))))> |
#<alt 2> |
#<alt (+ 2 (* -1 (pow x 2)))> |
#<alt (+ 2 (* (pow x 2) (- (* 2/3 x) 1)))> |
#<alt (+ 2 (* (pow x 2) (- (* x (+ 2/3 (* -1/4 x))) 1)))> |
#<alt (* 2 (* x (exp (neg x))))> |
#<alt (* x (+ (* 2 (exp (neg x))) (* 2 (/ (exp (neg x)) x))))> |
#<alt (* x (+ (* 2 (exp (neg x))) (* 2 (/ (exp (neg x)) x))))> |
#<alt (* x (+ (* 2 (exp (neg x))) (* 2 (/ (exp (neg x)) x))))> |
#<alt (* 2 (* x (exp (* -1 x))))> |
#<alt (* -1 (* x (+ (* -2 (exp (* -1 x))) (* -2 (/ (exp (* -1 x)) x)))))> |
#<alt (* -1 (* x (+ (* -2 (exp (* -1 x))) (* -2 (/ (exp (* -1 x)) x)))))> |
#<alt (* -1 (* x (+ (* -2 (exp (* -1 x))) (* -2 (/ (exp (* -1 x)) x)))))> |
#<alt 1> |
#<alt (+ 1 (* -1 x))> |
#<alt (+ 1 (* x (- (* 1/2 x) 1)))> |
#<alt (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))> |
#<alt (exp (neg x))> |
#<alt (exp (neg x))> |
#<alt (exp (neg x))> |
#<alt (exp (neg x))> |
#<alt (exp (* -1 x))> |
#<alt (exp (* -1 x))> |
#<alt (exp (* -1 x))> |
#<alt (exp (* -1 x))> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (/ (+ (* -1/2 x) (* 1/2 x)) eps)> |
#<alt (/ (+ (* -1/2 x) (+ (* 1/2 x) (* eps (+ (* -1 x) (+ (* -1/2 x) (* 1/2 x)))))) eps)> |
#<alt (/ (+ (* -1/2 x) (+ (* 1/2 x) (* eps (+ (* -1 x) (+ (* -1/2 x) (+ (* 1/2 x) (* eps (+ x (* -1 x))))))))) eps)> |
#<alt (/ (+ (* -1/2 x) (+ (* 1/2 x) (* eps (+ (* -1 x) (+ (* -1/2 x) (+ (* 1/2 x) (* eps (+ x (+ (* -1 x) (* eps x)))))))))) eps)> |
#<alt (* (pow eps 2) x)> |
#<alt (* (pow eps 2) (+ x (+ (* -1 (/ x eps)) (/ x eps))))> |
#<alt (* (pow eps 2) (+ x (+ (* -1 (/ x eps)) (+ (* -1 (/ x (pow eps 2))) (+ (* -1/2 (/ x (pow eps 2))) (+ (* 1/2 (/ x (pow eps 2))) (/ x eps)))))))> |
#<alt (* (pow eps 2) (+ x (+ (* -1 (/ x eps)) (+ (* -1 (/ x (pow eps 2))) (+ (* -1/2 (/ x (pow eps 2))) (+ (* -1/2 (/ x (pow eps 3))) (+ (* 1/2 (/ x (pow eps 2))) (+ (* 1/2 (/ x (pow eps 3))) (/ x eps)))))))))> |
#<alt (* (pow eps 2) x)> |
#<alt (* (pow eps 2) (+ x (* -1 (/ (+ x (* -1 x)) eps))))> |
#<alt (* (pow eps 2) (+ x (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (- (+ (* -1 (- x 1)) (+ (* -1/2 x) (* 1/2 x))) 1) eps)))) eps))))> |
#<alt (* (pow eps 2) (+ x (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (- (+ (* -1 (- x 1)) (+ (* -1 (/ (- (+ (* -1 (- (* 1/2 x) 1)) (* 1/2 x)) 1) eps)) (+ (* -1/2 x) (* 1/2 x)))) 1) eps)))) eps))))> |
#<alt (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1)))> |
#<alt (+ (* x (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))))) (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1))))> |
#<alt (+ (* x (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))))) (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1))))> |
#<alt (+ (* x (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))))) (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1))))> |
#<alt (* x (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2)))))> |
#<alt (* x (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))) (+ (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x) (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x)))))> |
#<alt (* x (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))) (+ (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x) (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x)))))> |
#<alt (* x (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))) (+ (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x) (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x)))))> |
#<alt (* -1 (* x (+ (* -1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))))> |
#<alt (* -1 (* x (+ (* -1 (/ (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1))) x)) (+ (* -1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))))> |
#<alt (* -1 (* x (+ (* -1 (/ (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1))) x)) (+ (* -1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))))> |
#<alt (* -1 (* x (+ (* -1 (/ (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1))) x)) (+ (* -1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))))> |
#<alt (/ (- (+ (* -1/2 x) (* 1/2 x)) 1) eps)> |
#<alt (/ (- (+ (* -1/2 x) (+ (* 1/2 x) (* eps (+ (* -1 x) (+ (* -1/2 x) (* 1/2 x)))))) 1) eps)> |
#<alt (/ (- (+ (* -1/2 x) (+ (* 1/2 x) (* eps (+ (* -1 x) (+ (* -1/2 x) (+ (* 1/2 x) (* eps (+ 1 (+ x (* -1 x)))))))))) 1) eps)> |
#<alt (/ (- (+ (* -1/2 x) (+ (* 1/2 x) (* eps (+ (* -1 x) (+ (* -1/2 x) (+ (* 1/2 x) (* eps (+ 1 (+ x (+ (* -1 x) (* eps x))))))))))) 1) eps)> |
#<alt (* (pow eps 2) x)> |
#<alt (* (pow eps 2) (+ x (+ (* -1 (/ x eps)) (+ (/ 1 eps) (/ x eps)))))> |
#<alt (* (pow eps 2) (+ x (+ (* -1 (/ x eps)) (+ (* -1 (/ x (pow eps 2))) (+ (* -1/2 (/ x (pow eps 2))) (+ (* 1/2 (/ x (pow eps 2))) (+ (/ 1 eps) (/ x eps))))))))> |
#<alt (* (pow eps 2) (- (+ x (+ (* -1 (/ x eps)) (+ (* -1 (/ x (pow eps 2))) (+ (* -1/2 (/ x (pow eps 2))) (+ (* -1/2 (/ x (pow eps 3))) (+ (* 1/2 (/ x (pow eps 2))) (+ (* 1/2 (/ x (pow eps 3))) (+ (/ 1 eps) (/ x eps))))))))) (/ 1 (pow eps 3))))> |
#<alt (* (pow eps 2) x)> |
#<alt (* (pow eps 2) (+ x (* -1 (/ (- (+ x (* -1 x)) 1) eps))))> |
#<alt (* (pow eps 2) (+ x (* -1 (/ (- (+ x (+ (* -1 x) (* -1 (/ (- (+ (* -1 (- x 1)) (+ (* -1/2 x) (* 1/2 x))) 1) eps)))) 1) eps))))> |
#<alt (* (pow eps 2) (+ x (* -1 (/ (- (+ x (+ (* -1 x) (* -1 (/ (- (+ (* -1 (- x 1)) (+ (* -1 (/ (+ (* -1 (- (* 1/2 x) 1)) (* 1/2 x)) eps)) (+ (* -1/2 x) (* 1/2 x)))) 1) eps)))) 1) eps))))> |
#<alt (* (+ 1 (/ 1 eps)) (- eps 1))> |
#<alt (+ (* x (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))))) (* (+ 1 (/ 1 eps)) (- eps 1)))> |
#<alt (+ (* x (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))))) (* (+ 1 (/ 1 eps)) (- eps 1)))> |
#<alt (+ (* x (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))))) (* (+ 1 (/ 1 eps)) (- eps 1)))> |
#<alt (* x (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2)))))> |
#<alt (* x (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))) (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x))))> |
#<alt (* x (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))) (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x))))> |
#<alt (* x (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))) (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x))))> |
#<alt (* -1 (* x (+ (* -1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))))> |
#<alt (* -1 (* x (+ (* -1 (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x)) (+ (* -1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))))> |
#<alt (* -1 (* x (+ (* -1 (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x)) (+ (* -1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))))> |
#<alt (* -1 (* x (+ (* -1 (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x)) (+ (* -1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))))> |
#<alt (/ -1/2 eps)> |
#<alt (/ (- (* -1/2 eps) 1/2) eps)> |
#<alt (/ (- (* eps (- (* 1/2 eps) 1/2)) 1/2) eps)> |
#<alt (/ (- (* eps (- (* eps (+ 1/2 (* 1/2 eps))) 1/2)) 1/2) eps)> |
#<alt (* 1/2 (pow eps 2))> |
#<alt (* (pow eps 2) (+ 1/2 (* 1/2 (/ 1 eps))))> |
#<alt (* (pow eps 2) (- (+ 1/2 (* 1/2 (/ 1 eps))) (/ 1/2 (pow eps 2))))> |
#<alt (* (pow eps 2) (+ 1/2 (+ (* -1 (/ (+ 1/2 (* 1/2 (/ 1 eps))) (pow eps 2))) (* 1/2 (/ 1 eps)))))> |
#<alt (* 1/2 (pow eps 2))> |
#<alt (* (pow eps 2) (+ 1/2 (* 1/2 (/ 1 eps))))> |
#<alt (* (pow eps 2) (+ 1/2 (* -1 (/ (- (* 1/2 (/ 1 eps)) 1/2) eps))))> |
#<alt (* (pow eps 2) (+ 1/2 (* -1 (/ (- (+ (/ 1/2 (pow eps 2)) (* 1/2 (/ 1 eps))) 1/2) eps))))> |
#<alt (/ -1/2 eps)> |
#<alt (/ (- (* 1/2 eps) 1/2) eps)> |
#<alt (/ (- (* 1/2 eps) 1/2) eps)> |
#<alt (/ (- (* 1/2 eps) 1/2) eps)> |
#<alt 1/2> |
#<alt (- 1/2 (* 1/2 (/ 1 eps)))> |
#<alt (- 1/2 (* 1/2 (/ 1 eps)))> |
#<alt (- 1/2 (* 1/2 (/ 1 eps)))> |
#<alt 1/2> |
#<alt (- 1/2 (* 1/2 (/ 1 eps)))> |
#<alt (- 1/2 (* 1/2 (/ 1 eps)))> |
#<alt (- 1/2 (* 1/2 (/ 1 eps)))> |
#<alt (* -1 (* x (+ 1 eps)))> |
#<alt (* -1 (* x (+ 1 eps)))> |
#<alt (* -1 (* x (+ 1 eps)))> |
#<alt (* -1 (* x (+ 1 eps)))> |
#<alt (* -1 (* x (+ 1 eps)))> |
#<alt (* -1 (* x (+ 1 eps)))> |
#<alt (* -1 (* x (+ 1 eps)))> |
#<alt (* -1 (* x (+ 1 eps)))> |
#<alt (* -1 (* x (+ 1 eps)))> |
#<alt (* -1 (* x (+ 1 eps)))> |
#<alt (* -1 (* x (+ 1 eps)))> |
#<alt (* -1 (* x (+ 1 eps)))> |
#<alt (* -1 x)> |
#<alt (+ (* -1 x) (* -1 (* eps x)))> |
#<alt (+ (* -1 x) (* -1 (* eps x)))> |
#<alt (+ (* -1 x) (* -1 (* eps x)))> |
#<alt (* -1 (* eps x))> |
#<alt (* eps (+ (* -1 x) (* -1 (/ x eps))))> |
#<alt (* eps (+ (* -1 x) (* -1 (/ x eps))))> |
#<alt (* eps (+ (* -1 x) (* -1 (/ x eps))))> |
#<alt (* -1 (* eps x))> |
#<alt (* -1 (* eps (+ x (/ x eps))))> |
#<alt (* -1 (* eps (+ x (/ x eps))))> |
#<alt (* -1 (* eps (+ x (/ x eps))))> |
#<alt (* x (- eps 1))> |
#<alt (* x (- eps 1))> |
#<alt (* x (- eps 1))> |
#<alt (* x (- eps 1))> |
#<alt (* x (- eps 1))> |
#<alt (* x (- eps 1))> |
#<alt (* x (- eps 1))> |
#<alt (* x (- eps 1))> |
#<alt (* x (- eps 1))> |
#<alt (* x (- eps 1))> |
#<alt (* x (- eps 1))> |
#<alt (* x (- eps 1))> |
#<alt (* -1 x)> |
#<alt (+ (* -1 x) (* eps x))> |
#<alt (+ (* -1 x) (* eps x))> |
#<alt (+ (* -1 x) (* eps x))> |
#<alt (* eps x)> |
#<alt (* eps (+ x (* -1 (/ x eps))))> |
#<alt (* eps (+ x (* -1 (/ x eps))))> |
#<alt (* eps (+ x (* -1 (/ x eps))))> |
#<alt (* eps x)> |
#<alt (* -1 (* eps (+ (* -1 x) (/ x eps))))> |
#<alt (* -1 (* eps (+ (* -1 x) (/ x eps))))> |
#<alt (* -1 (* eps (+ (* -1 x) (/ x eps))))> |
#<alt 1> |
#<alt (+ 1 (* -1 (* x (+ 1 eps))))> |
#<alt (+ 1 (* x (+ (* -1 (+ 1 eps)) (* 1/2 (* x (pow (+ 1 eps) 2))))))> |
#<alt (+ 1 (* x (+ (* -1 (+ 1 eps)) (* x (+ (* -1/6 (* x (pow (+ 1 eps) 3))) (* 1/2 (pow (+ 1 eps) 2)))))))> |
#<alt (exp (* -1 (* x (+ 1 eps))))> |
#<alt (exp (* -1 (* x (+ 1 eps))))> |
#<alt (exp (* -1 (* x (+ 1 eps))))> |
#<alt (exp (* -1 (* x (+ 1 eps))))> |
#<alt (exp (* -1 (* x (+ 1 eps))))> |
#<alt (exp (* -1 (* x (+ 1 eps))))> |
#<alt (exp (* -1 (* x (+ 1 eps))))> |
#<alt (exp (* -1 (* x (+ 1 eps))))> |
#<alt (exp (* -1 x))> |
#<alt (+ (exp (* -1 x)) (* -1 (* eps (* x (exp (* -1 x))))))> |
#<alt (+ (exp (* -1 x)) (* eps (+ (* -1 (* x (exp (* -1 x)))) (* 1/2 (* eps (* (pow x 2) (exp (* -1 x))))))))> |
#<alt (+ (exp (* -1 x)) (* eps (+ (* -1 (* x (exp (* -1 x)))) (* eps (+ (* -1/6 (* eps (* (pow x 3) (exp (* -1 x))))) (* 1/2 (* (pow x 2) (exp (* -1 x)))))))))> |
#<alt (exp (* -1 (* x (+ 1 eps))))> |
#<alt (exp (* -1 (* x (+ 1 eps))))> |
#<alt (exp (* -1 (* x (+ 1 eps))))> |
#<alt (exp (* -1 (* x (+ 1 eps))))> |
#<alt (exp (* x (- (* -1 eps) 1)))> |
#<alt (exp (* x (- (* -1 eps) 1)))> |
#<alt (exp (* x (- (* -1 eps) 1)))> |
#<alt (exp (* x (- (* -1 eps) 1)))> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt 2> |
#<alt (+ 2 (* 2 x))> |
#<alt (+ 2 (* 2 x))> |
#<alt (+ 2 (* 2 x))> |
#<alt (* 2 x)> |
#<alt (* x (+ 2 (* 2 (/ 1 x))))> |
#<alt (* x (+ 2 (* 2 (/ 1 x))))> |
#<alt (* x (+ 2 (* 2 (/ 1 x))))> |
#<alt (* 2 x)> |
#<alt (* x (+ 2 (* 2 (/ 1 x))))> |
#<alt (* x (+ 2 (* 2 (/ 1 x))))> |
#<alt (* x (+ 2 (* 2 (/ 1 x))))> |
#<alt (* -1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))> |
#<alt (* -1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))> |
#<alt (* -1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))> |
#<alt (* -1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))> |
#<alt (* -1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))> |
#<alt (* -1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))> |
#<alt (* -1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))> |
#<alt (* -1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))> |
#<alt (* -1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))> |
#<alt (* -1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))> |
#<alt (* -1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))> |
#<alt (* -1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))> |
#<alt (* -1/2 (/ x eps))> |
#<alt (/ (+ (* -1/2 x) (* -1/2 (* eps x))) eps)> |
#<alt (/ (+ (* -1/2 x) (* eps (+ (* -1/2 x) (* 1/2 (* eps x))))) eps)> |
#<alt (/ (+ (* -1/2 x) (* eps (+ (* -1/2 x) (* eps (+ (* 1/2 x) (* 1/2 (* eps x))))))) eps)> |
#<alt (* 1/2 (* (pow eps 2) x))> |
#<alt (* (pow eps 2) (+ (* 1/2 x) (* 1/2 (/ x eps))))> |
#<alt (* (pow eps 2) (+ (* -1/2 (/ x (pow eps 2))) (+ (* 1/2 x) (* 1/2 (/ x eps)))))> |
#<alt (* (pow eps 2) (+ (* -1/2 (/ x (pow eps 2))) (+ (* -1/2 (/ x (pow eps 3))) (+ (* 1/2 x) (* 1/2 (/ x eps))))))> |
#<alt (* 1/2 (* (pow eps 2) x))> |
#<alt (* (pow eps 2) (+ (* 1/2 x) (* 1/2 (/ x eps))))> |
#<alt (* (pow eps 2) (+ (* -1 (/ (+ (* -1/2 x) (* 1/2 (/ x eps))) eps)) (* 1/2 x)))> |
#<alt (* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 x) (* -1/2 (/ x eps))) eps)) (* -1/2 x)) eps)) (* 1/2 x)))> |
#<alt (- eps 1)> |
#<alt (- (+ eps (* 1/2 (* x (pow (- 1 eps) 2)))) 1)> |
#<alt (- (+ eps (* 1/2 (* x (pow (- 1 eps) 2)))) 1)> |
#<alt (- (+ eps (* 1/2 (* x (pow (- 1 eps) 2)))) 1)> |
#<alt (* 1/2 (* x (pow (- 1 eps) 2)))> |
#<alt (* x (- (+ (* 1/2 (pow (- 1 eps) 2)) (/ eps x)) (/ 1 x)))> |
#<alt (* x (- (+ (* 1/2 (pow (- 1 eps) 2)) (/ eps x)) (/ 1 x)))> |
#<alt (* x (- (+ (* 1/2 (pow (- 1 eps) 2)) (/ eps x)) (/ 1 x)))> |
#<alt (* 1/2 (* x (pow (- 1 eps) 2)))> |
#<alt (* -1 (* x (+ (* -1 (/ (- eps 1) x)) (* -1/2 (pow (- 1 eps) 2)))))> |
#<alt (* -1 (* x (+ (* -1 (/ (- eps 1) x)) (* -1/2 (pow (- 1 eps) 2)))))> |
#<alt (* -1 (* x (+ (* -1 (/ (- eps 1) x)) (* -1/2 (pow (- 1 eps) 2)))))> |
#<alt (- (* 1/2 x) 1)> |
#<alt (- (+ (* 1/2 x) (* eps (+ 1 (* -1 x)))) 1)> |
#<alt (- (+ (* 1/2 x) (* eps (+ 1 (+ (* -1 x) (* 1/2 (* eps x)))))) 1)> |
#<alt (- (+ (* 1/2 x) (* eps (+ 1 (+ (* -1 x) (* 1/2 (* eps x)))))) 1)> |
#<alt (* 1/2 (* (pow eps 2) x))> |
#<alt (* (pow eps 2) (+ (* -1 (/ x eps)) (+ (* 1/2 x) (/ 1 eps))))> |
#<alt (* (pow eps 2) (- (+ (* -1 (/ x eps)) (+ (* 1/2 x) (+ (* 1/2 (/ x (pow eps 2))) (/ 1 eps)))) (/ 1 (pow eps 2))))> |
#<alt (* (pow eps 2) (- (+ (* -1 (/ x eps)) (+ (* 1/2 x) (+ (* 1/2 (/ x (pow eps 2))) (/ 1 eps)))) (/ 1 (pow eps 2))))> |
#<alt (* 1/2 (* (pow eps 2) x))> |
#<alt (* (pow eps 2) (+ (* -1 (/ (- x 1) eps)) (* 1/2 x)))> |
#<alt (* (pow eps 2) (+ (* -1 (/ (- (+ x (* -1 (/ (- (* 1/2 x) 1) eps))) 1) eps)) (* 1/2 x)))> |
#<alt (* (pow eps 2) (+ (* -1 (/ (- (+ x (* -1 (/ (- (* 1/2 x) 1) eps))) 1) eps)) (* 1/2 x)))> |
102 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 83.0ms | eps | @ | 0 | (+ (* (+ eps 1) (+ -1 (/ 1 eps))) (* (+ 1 (/ 1 eps)) (+ -1 eps))) |
| 5.0ms | eps | @ | -inf | (+ (* (* 1/2 x) (* (- 1 eps) (- 1 eps))) (+ -1 eps)) |
| 2.0ms | x | @ | inf | (+ (* (* 1/2 x) (* (- 1 eps) (- 1 eps))) (+ -1 eps)) |
| 1.0ms | x | @ | 0 | (+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (+ (* (* 1/2 x) (* (- 1 eps) (- 1 eps))) (+ -1 eps))) (* x (* (* -1/2 (+ -1 (/ 1 eps))) (* (+ eps 1) (+ eps 1)))))) |
| 1.0ms | eps | @ | -inf | (+ (* (+ eps 1) (+ -1 (/ 1 eps))) (* (+ 1 (/ 1 eps)) (+ -1 eps))) |
| 1× | batch-egg-rewrite |
| 3 816× | /-lowering-/.f32 |
| 3 816× | /-lowering-/.f64 |
| 3 246× | *-lowering-*.f32 |
| 3 246× | *-lowering-*.f64 |
| 3 182× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 270 |
| 1 | 308 | 258 |
| 2 | 3232 | 258 |
| 0 | 8452 | 249 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (+ (exp (* x (+ -1 eps))) (exp (* x (- -1 eps))))) |
(+ (exp (* x (+ -1 eps))) (exp (* x (- -1 eps)))) |
(exp (* x (+ -1 eps))) |
(+ -1 eps) |
(+ (* (+ eps 1) (+ -1 (/ 1 eps))) (* (+ 1 (/ 1 eps)) (+ -1 eps))) |
(+ (* (+ (* (+ eps 1) (+ -1 (/ 1 eps))) (* (+ 1 (/ 1 eps)) (+ -1 eps))) (* 1/2 x)) 1) |
(* (+ 1 (/ 1 eps)) (+ -1 eps)) |
(+ eps 1) |
(* 1/2 (* (exp (- 0 x)) (+ (+ x 2) x))) |
(* (exp (- 0 x)) (+ (+ x 2) x)) |
(exp (- 0 x)) |
(- 0 x) |
(+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (+ (* (* 1/2 x) (* (- 1 eps) (- 1 eps))) (+ -1 eps))) (* x (* (* -1/2 (+ -1 (/ 1 eps))) (* (+ eps 1) (+ eps 1)))))) |
(+ (* (+ 1 (/ 1 eps)) (+ (* (* 1/2 x) (* (- 1 eps) (- 1 eps))) (+ -1 eps))) (* x (* (* -1/2 (+ -1 (/ 1 eps))) (* (+ eps 1) (+ eps 1))))) |
(* (* -1/2 (+ -1 (/ 1 eps))) (* (+ eps 1) (+ eps 1))) |
(* -1/2 (+ -1 (/ 1 eps))) |
(* x (- -1 eps)) |
(* x (+ -1 eps)) |
(exp (* x (- -1 eps))) |
(* 1/2 x) |
(+ (+ x 2) x) |
(* x (* (* -1/2 (+ -1 (/ 1 eps))) (* (+ eps 1) (+ eps 1)))) |
(+ (* (* 1/2 x) (* (- 1 eps) (- 1 eps))) (+ -1 eps)) |
| Outputs |
|---|
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps)))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps)))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))) (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps)))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))) |
(fma.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) |
(fma.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))))) |
(fma.f64 (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) |
(fma.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))))) |
(/.f64 (fma.f64 (exp.f64 (*.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64))) #s(literal 1/8 binary64) (*.f64 (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64))) #s(literal 1/8 binary64))) (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps)))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps)))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64))))) (+.f64 (exp.f64 (*.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))) (exp.f64 (*.f64 x (+.f64 (+.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal -1 binary64) eps))))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (*.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))))) (-.f64 (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) |
(/.f64 (*.f64 (+.f64 (exp.f64 (*.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64)))) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (*.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))) (exp.f64 (*.f64 x (+.f64 (+.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal -1 binary64) eps))))))) |
(/.f64 (*.f64 (-.f64 (exp.f64 (*.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) |
(/.f64 (neg.f64 (fma.f64 (exp.f64 (*.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64))) #s(literal 1/8 binary64) (*.f64 (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64))) #s(literal 1/8 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps)))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps)))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64)))))) (neg.f64 (+.f64 (exp.f64 (*.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))) (exp.f64 (*.f64 x (+.f64 (+.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal -1 binary64) eps)))))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (*.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64)))))) (neg.f64 (-.f64 (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))) |
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(/.f64 (fma.f64 (+.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1 binary64) eps)) (*.f64 (*.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 1/8 binary64)) (*.f64 (*.f64 (+.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1 binary64) eps))) (*.f64 (+.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1 binary64) eps)))))) (fma.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1 binary64) eps) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal 1 binary64) eps)) (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal 1 binary64) eps)))) (*.f64 (+.f64 #s(literal -1 binary64) eps) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1 binary64) eps))))))) |
(/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal 1 binary64) eps)) (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal 1 binary64) eps))) (*.f64 (neg.f64 (+.f64 #s(literal -1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal -1 binary64) eps))) |
(/.f64 (neg.f64 (fma.f64 (+.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1 binary64) eps)) (*.f64 (*.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 1/8 binary64)) (*.f64 (*.f64 (+.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1 binary64) eps))) (*.f64 (+.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1 binary64) eps))))))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal 1 binary64) eps)) (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal 1 binary64) eps))) (*.f64 (+.f64 #s(literal -1 binary64) eps) (-.f64 (+.f64 #s(literal -1 binary64) eps) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1 binary64) eps)))))))) |
(/.f64 (neg.f64 (fma.f64 (+.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1 binary64) eps)) (*.f64 (*.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 1/8 binary64)) (*.f64 (*.f64 (+.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1 binary64) eps))) (*.f64 (+.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1 binary64) eps))))))) (neg.f64 (fma.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1 binary64) eps) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal 1 binary64) eps)) (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal 1 binary64) eps)))) (*.f64 (+.f64 #s(literal -1 binary64) eps) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1 binary64) eps)))))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal 1 binary64) eps)) (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal 1 binary64) eps))) (*.f64 (neg.f64 (+.f64 #s(literal -1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps)))) (neg.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal -1 binary64) eps)))) |
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1 binary64) eps)) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1 binary64) eps)) #s(literal -1 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1 binary64) eps)) #s(literal -1 binary64))) (*.f64 eps (*.f64 eps eps))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1 binary64) eps)) #s(literal -1 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1 binary64) eps)) #s(literal -1 binary64)) (-.f64 (*.f64 eps eps) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1 binary64) eps)) #s(literal -1 binary64)) eps)))) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1 binary64) eps)) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal 1 binary64) eps)) (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal 1 binary64) eps))))) (-.f64 (+.f64 #s(literal -1 binary64) eps) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1 binary64) eps))))) |
(/.f64 (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1 binary64) eps)) #s(literal -1 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1 binary64) eps)) #s(literal -1 binary64))) (*.f64 eps eps)) (-.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1 binary64) eps)) #s(literal -1 binary64)) eps)) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (+.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1 binary64) eps)) (*.f64 (*.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 1/8 binary64)) (*.f64 (*.f64 (+.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1 binary64) eps))) (*.f64 (+.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1 binary64) eps)))))))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal 1 binary64) eps)) (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal 1 binary64) eps))) (*.f64 (+.f64 #s(literal -1 binary64) eps) (-.f64 (+.f64 #s(literal -1 binary64) eps) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1 binary64) eps))))))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal 1 binary64) eps)) (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal 1 binary64) eps))) (*.f64 (neg.f64 (+.f64 #s(literal -1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps))))) (neg.f64 (neg.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal -1 binary64) eps))))) |
(/.f64 (neg.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1 binary64) eps)) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1 binary64) eps)) #s(literal -1 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1 binary64) eps)) #s(literal -1 binary64))) (*.f64 eps (*.f64 eps eps)))) (neg.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1 binary64) eps)) #s(literal -1 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1 binary64) eps)) #s(literal -1 binary64)) (-.f64 (*.f64 eps eps) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1 binary64) eps)) #s(literal -1 binary64)) eps))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1 binary64) eps)) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal 1 binary64) eps)) (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal 1 binary64) eps)))))) (neg.f64 (-.f64 (+.f64 #s(literal -1 binary64) eps) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1 binary64) eps)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1 binary64) eps)) #s(literal -1 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1 binary64) eps)) #s(literal -1 binary64))) (*.f64 eps eps))) (neg.f64 (-.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1 binary64) eps)) #s(literal -1 binary64)) eps))) |
(pow.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal 1 binary64) eps)) (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal 1 binary64) eps))) (*.f64 (+.f64 #s(literal -1 binary64) eps) (-.f64 (+.f64 #s(literal -1 binary64) eps) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1 binary64) eps)))))) (fma.f64 (+.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1 binary64) eps)) (*.f64 (*.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 1/8 binary64)) (*.f64 (*.f64 (+.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1 binary64) eps))) (*.f64 (+.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1 binary64) eps))))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal -1 binary64) eps)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal 1 binary64) eps)) (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal 1 binary64) eps))) (*.f64 (neg.f64 (+.f64 #s(literal -1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps)))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (+.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1 binary64) eps)) (*.f64 (*.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 1/8 binary64)) (*.f64 (*.f64 (+.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1 binary64) eps))) (*.f64 (+.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1 binary64) eps)))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal 1 binary64) eps)) (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal 1 binary64) eps))) (*.f64 (+.f64 #s(literal -1 binary64) eps) (-.f64 (+.f64 #s(literal -1 binary64) eps) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1 binary64) eps)))))))) |
(*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal 1 binary64) eps)) (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal 1 binary64) eps))) (*.f64 (neg.f64 (+.f64 #s(literal -1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal -1 binary64) eps)))) |
| 1× | egg-herbie |
| 11 442× | accelerator-lowering-fma.f32 |
| 11 442× | accelerator-lowering-fma.f64 |
| 4 692× | *-lowering-*.f32 |
| 4 692× | *-lowering-*.f64 |
| 3 788× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 589 | 4797 |
| 1 | 1976 | 4390 |
| 2 | 6627 | 4295 |
| 0 | 8580 | 4085 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (* 1/2 (* x (- (+ eps (* -1 (+ 1 eps))) 1)))) |
(+ 1 (* x (+ (* 1/2 (* x (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- eps 1) 2))))) (* 1/2 (- (+ eps (* -1 (+ 1 eps))) 1))))) |
(+ 1 (* x (+ (* 1/2 (- (+ eps (* -1 (+ 1 eps))) 1)) (* x (+ (* 1/2 (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3))))) (* 1/2 (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- eps 1) 2))))))))) |
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))) |
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))) |
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))) |
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))) |
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))) |
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))) |
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))) |
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))) |
(exp (* -1 x)) |
(+ (exp (* -1 x)) (* 1/2 (* eps (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (* -1 x))))))) |
(+ (exp (* -1 x)) (* eps (+ (* 1/2 (* eps (* (pow x 2) (exp (* -1 x))))) (* 1/2 (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (* -1 x)))))))) |
(+ (exp (* -1 x)) (* eps (+ (* 1/2 (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (* -1 x))))) (* eps (+ (* 1/2 (* eps (+ (* -1/6 (* (pow x 3) (exp (* -1 x)))) (* 1/6 (* (pow x 3) (exp (* -1 x))))))) (* 1/2 (* (pow x 2) (exp (* -1 x))))))))) |
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))) |
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))) |
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))) |
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))) |
(* 1/2 (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1))))) |
(* 1/2 (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1))))) |
(* 1/2 (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1))))) |
(* 1/2 (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1))))) |
2 |
(+ 2 (* x (- (+ eps (* -1 (+ 1 eps))) 1))) |
(+ 2 (* x (- (+ eps (+ (* -1 (+ 1 eps)) (* x (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- eps 1) 2)))))) 1))) |
(+ 2 (* x (- (+ eps (+ (* -1 (+ 1 eps)) (* x (+ (* 1/2 (pow (+ 1 eps) 2)) (+ (* 1/2 (pow (- eps 1) 2)) (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3))))))))) 1))) |
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))) |
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))) |
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))) |
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))) |
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))) |
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))) |
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))) |
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))) |
(* 2 (exp (* -1 x))) |
(+ (* 2 (exp (* -1 x))) (* eps (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (* -1 x)))))) |
(+ (* 2 (exp (* -1 x))) (* eps (+ (* -1 (* x (exp (* -1 x)))) (+ (* eps (* (pow x 2) (exp (* -1 x)))) (* x (exp (* -1 x))))))) |
(+ (* 2 (exp (* -1 x))) (* eps (+ (* -1 (* x (exp (* -1 x)))) (+ (* eps (+ (* eps (+ (* -1/6 (* (pow x 3) (exp (* -1 x)))) (* 1/6 (* (pow x 3) (exp (* -1 x)))))) (* (pow x 2) (exp (* -1 x))))) (* x (exp (* -1 x))))))) |
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))) |
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))) |
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))) |
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))) |
(+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1)))) |
(+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1)))) |
(+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1)))) |
(+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -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))) |
(exp (* x (- eps 1))) |
(exp (* x (- eps 1))) |
(exp (* x (- eps 1))) |
(exp (* x (- eps 1))) |
(exp (* x (- eps 1))) |
(exp (* x (- eps 1))) |
(exp (* x (- eps 1))) |
(exp (* x (- eps 1))) |
(exp (* -1 x)) |
(+ (exp (* -1 x)) (* eps (* x (exp (* -1 x))))) |
(+ (exp (* -1 x)) (* eps (+ (* 1/2 (* eps (* (pow x 2) (exp (* -1 x))))) (* x (exp (* -1 x)))))) |
(+ (exp (* -1 x)) (* eps (+ (* eps (+ (* 1/6 (* eps (* (pow x 3) (exp (* -1 x))))) (* 1/2 (* (pow x 2) (exp (* -1 x)))))) (* x (exp (* -1 x)))))) |
(exp (* x (- eps 1))) |
(exp (* x (- eps 1))) |
(exp (* x (- eps 1))) |
(exp (* x (- eps 1))) |
(exp (* -1 (* x (+ 1 (* -1 eps))))) |
(exp (* -1 (* x (+ 1 (* -1 eps))))) |
(exp (* -1 (* x (+ 1 (* -1 eps))))) |
(exp (* -1 (* x (+ 1 (* -1 eps))))) |
-1 |
(- eps 1) |
(- eps 1) |
(- eps 1) |
eps |
(* eps (- 1 (/ 1 eps))) |
(* eps (- 1 (/ 1 eps))) |
(* eps (- 1 (/ 1 eps))) |
eps |
(* -1 (* eps (- (/ 1 eps) 1))) |
(* -1 (* eps (- (/ 1 eps) 1))) |
(* -1 (* eps (- (/ 1 eps) 1))) |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
(+ 1 (* 1/2 (* x (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1)))))) |
(+ 1 (* 1/2 (* x (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1)))))) |
(+ 1 (* 1/2 (* x (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1)))))) |
(* 1/2 (* x (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1))))) |
(* x (+ (* 1/2 (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1)))) (/ 1 x))) |
(* x (+ (* 1/2 (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1)))) (/ 1 x))) |
(* x (+ (* 1/2 (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1)))) (/ 1 x))) |
(* 1/2 (* x (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1))))) |
(* -1 (* x (- (* -1/2 (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1)))) (/ 1 x)))) |
(* -1 (* x (- (* -1/2 (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1)))) (/ 1 x)))) |
(* -1 (* x (- (* -1/2 (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1)))) (/ 1 x)))) |
(/ -1 eps) |
(/ (- (pow eps 2) 1) eps) |
(/ (- (pow eps 2) 1) eps) |
(/ (- (pow eps 2) 1) eps) |
eps |
(* eps (- 1 (/ 1 (pow eps 2)))) |
(* eps (- 1 (/ 1 (pow eps 2)))) |
(* eps (- 1 (/ 1 (pow eps 2)))) |
eps |
(* -1 (* eps (- (/ 1 (pow eps 2)) 1))) |
(* -1 (* eps (- (/ 1 (pow eps 2)) 1))) |
(* -1 (* eps (- (/ 1 (pow eps 2)) 1))) |
1 |
(+ 1 eps) |
(+ 1 eps) |
(+ 1 eps) |
eps |
(* eps (+ 1 (/ 1 eps))) |
(* eps (+ 1 (/ 1 eps))) |
(* eps (+ 1 (/ 1 eps))) |
eps |
(* eps (+ 1 (/ 1 eps))) |
(* eps (+ 1 (/ 1 eps))) |
(* eps (+ 1 (/ 1 eps))) |
1 |
(+ 1 (* -1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 1/3 x) 1/2))) |
(+ 1 (* (pow x 2) (- (* x (+ 1/3 (* -1/8 x))) 1/2))) |
(* x (exp (neg x))) |
(* x (+ (exp (neg x)) (/ (exp (neg x)) x))) |
(* x (+ (exp (neg x)) (/ (exp (neg x)) x))) |
(* x (+ (exp (neg x)) (/ (exp (neg x)) x))) |
(* x (exp (* -1 x))) |
(* -1 (* x (+ (* -1 (exp (* -1 x))) (* -1 (/ (exp (* -1 x)) x))))) |
(* -1 (* x (+ (* -1 (exp (* -1 x))) (* -1 (/ (exp (* -1 x)) x))))) |
(* -1 (* x (+ (* -1 (exp (* -1 x))) (* -1 (/ (exp (* -1 x)) x))))) |
2 |
(+ 2 (* -1 (pow x 2))) |
(+ 2 (* (pow x 2) (- (* 2/3 x) 1))) |
(+ 2 (* (pow x 2) (- (* x (+ 2/3 (* -1/4 x))) 1))) |
(* 2 (* x (exp (neg x)))) |
(* x (+ (* 2 (exp (neg x))) (* 2 (/ (exp (neg x)) x)))) |
(* x (+ (* 2 (exp (neg x))) (* 2 (/ (exp (neg x)) x)))) |
(* x (+ (* 2 (exp (neg x))) (* 2 (/ (exp (neg x)) x)))) |
(* 2 (* x (exp (* -1 x)))) |
(* -1 (* x (+ (* -2 (exp (* -1 x))) (* -2 (/ (exp (* -1 x)) x))))) |
(* -1 (* x (+ (* -2 (exp (* -1 x))) (* -2 (/ (exp (* -1 x)) x))))) |
(* -1 (* x (+ (* -2 (exp (* -1 x))) (* -2 (/ (exp (* -1 x)) x))))) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))) |
(exp (neg x)) |
(exp (neg x)) |
(exp (neg x)) |
(exp (neg x)) |
(exp (* -1 x)) |
(exp (* -1 x)) |
(exp (* -1 x)) |
(exp (* -1 x)) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(/ (+ (* -1/2 x) (* 1/2 x)) eps) |
(/ (+ (* -1/2 x) (+ (* 1/2 x) (* eps (+ (* -1 x) (+ (* -1/2 x) (* 1/2 x)))))) eps) |
(/ (+ (* -1/2 x) (+ (* 1/2 x) (* eps (+ (* -1 x) (+ (* -1/2 x) (+ (* 1/2 x) (* eps (+ x (* -1 x))))))))) eps) |
(/ (+ (* -1/2 x) (+ (* 1/2 x) (* eps (+ (* -1 x) (+ (* -1/2 x) (+ (* 1/2 x) (* eps (+ x (+ (* -1 x) (* eps x)))))))))) eps) |
(* (pow eps 2) x) |
(* (pow eps 2) (+ x (+ (* -1 (/ x eps)) (/ x eps)))) |
(* (pow eps 2) (+ x (+ (* -1 (/ x eps)) (+ (* -1 (/ x (pow eps 2))) (+ (* -1/2 (/ x (pow eps 2))) (+ (* 1/2 (/ x (pow eps 2))) (/ x eps))))))) |
(* (pow eps 2) (+ x (+ (* -1 (/ x eps)) (+ (* -1 (/ x (pow eps 2))) (+ (* -1/2 (/ x (pow eps 2))) (+ (* -1/2 (/ x (pow eps 3))) (+ (* 1/2 (/ x (pow eps 2))) (+ (* 1/2 (/ x (pow eps 3))) (/ x eps))))))))) |
(* (pow eps 2) x) |
(* (pow eps 2) (+ x (* -1 (/ (+ x (* -1 x)) eps)))) |
(* (pow eps 2) (+ x (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (- (+ (* -1 (- x 1)) (+ (* -1/2 x) (* 1/2 x))) 1) eps)))) eps)))) |
(* (pow eps 2) (+ x (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (- (+ (* -1 (- x 1)) (+ (* -1 (/ (- (+ (* -1 (- (* 1/2 x) 1)) (* 1/2 x)) 1) eps)) (+ (* -1/2 x) (* 1/2 x)))) 1) eps)))) eps)))) |
(+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1))) |
(+ (* x (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))))) (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1)))) |
(+ (* x (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))))) (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1)))) |
(+ (* x (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))))) (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1)))) |
(* x (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))))) |
(* x (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))) (+ (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x) (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x))))) |
(* x (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))) (+ (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x) (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x))))) |
(* x (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))) (+ (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x) (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x))))) |
(* -1 (* x (+ (* -1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) |
(* -1 (* x (+ (* -1 (/ (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1))) x)) (+ (* -1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))))) |
(* -1 (* x (+ (* -1 (/ (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1))) x)) (+ (* -1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))))) |
(* -1 (* x (+ (* -1 (/ (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1))) x)) (+ (* -1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))))) |
(/ (- (+ (* -1/2 x) (* 1/2 x)) 1) eps) |
(/ (- (+ (* -1/2 x) (+ (* 1/2 x) (* eps (+ (* -1 x) (+ (* -1/2 x) (* 1/2 x)))))) 1) eps) |
(/ (- (+ (* -1/2 x) (+ (* 1/2 x) (* eps (+ (* -1 x) (+ (* -1/2 x) (+ (* 1/2 x) (* eps (+ 1 (+ x (* -1 x)))))))))) 1) eps) |
(/ (- (+ (* -1/2 x) (+ (* 1/2 x) (* eps (+ (* -1 x) (+ (* -1/2 x) (+ (* 1/2 x) (* eps (+ 1 (+ x (+ (* -1 x) (* eps x))))))))))) 1) eps) |
(* (pow eps 2) x) |
(* (pow eps 2) (+ x (+ (* -1 (/ x eps)) (+ (/ 1 eps) (/ x eps))))) |
(* (pow eps 2) (+ x (+ (* -1 (/ x eps)) (+ (* -1 (/ x (pow eps 2))) (+ (* -1/2 (/ x (pow eps 2))) (+ (* 1/2 (/ x (pow eps 2))) (+ (/ 1 eps) (/ x eps)))))))) |
(* (pow eps 2) (- (+ x (+ (* -1 (/ x eps)) (+ (* -1 (/ x (pow eps 2))) (+ (* -1/2 (/ x (pow eps 2))) (+ (* -1/2 (/ x (pow eps 3))) (+ (* 1/2 (/ x (pow eps 2))) (+ (* 1/2 (/ x (pow eps 3))) (+ (/ 1 eps) (/ x eps))))))))) (/ 1 (pow eps 3)))) |
(* (pow eps 2) x) |
(* (pow eps 2) (+ x (* -1 (/ (- (+ x (* -1 x)) 1) eps)))) |
(* (pow eps 2) (+ x (* -1 (/ (- (+ x (+ (* -1 x) (* -1 (/ (- (+ (* -1 (- x 1)) (+ (* -1/2 x) (* 1/2 x))) 1) eps)))) 1) eps)))) |
(* (pow eps 2) (+ x (* -1 (/ (- (+ x (+ (* -1 x) (* -1 (/ (- (+ (* -1 (- x 1)) (+ (* -1 (/ (+ (* -1 (- (* 1/2 x) 1)) (* 1/2 x)) eps)) (+ (* -1/2 x) (* 1/2 x)))) 1) eps)))) 1) eps)))) |
(* (+ 1 (/ 1 eps)) (- eps 1)) |
(+ (* x (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))))) (* (+ 1 (/ 1 eps)) (- eps 1))) |
(+ (* x (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))))) (* (+ 1 (/ 1 eps)) (- eps 1))) |
(+ (* x (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))))) (* (+ 1 (/ 1 eps)) (- eps 1))) |
(* x (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))))) |
(* x (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))) (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x)))) |
(* x (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))) (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x)))) |
(* x (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))) (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x)))) |
(* -1 (* x (+ (* -1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) |
(* -1 (* x (+ (* -1 (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x)) (+ (* -1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))))) |
(* -1 (* x (+ (* -1 (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x)) (+ (* -1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))))) |
(* -1 (* x (+ (* -1 (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x)) (+ (* -1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))))) |
(/ -1/2 eps) |
(/ (- (* -1/2 eps) 1/2) eps) |
(/ (- (* eps (- (* 1/2 eps) 1/2)) 1/2) eps) |
(/ (- (* eps (- (* eps (+ 1/2 (* 1/2 eps))) 1/2)) 1/2) eps) |
(* 1/2 (pow eps 2)) |
(* (pow eps 2) (+ 1/2 (* 1/2 (/ 1 eps)))) |
(* (pow eps 2) (- (+ 1/2 (* 1/2 (/ 1 eps))) (/ 1/2 (pow eps 2)))) |
(* (pow eps 2) (+ 1/2 (+ (* -1 (/ (+ 1/2 (* 1/2 (/ 1 eps))) (pow eps 2))) (* 1/2 (/ 1 eps))))) |
(* 1/2 (pow eps 2)) |
(* (pow eps 2) (+ 1/2 (* 1/2 (/ 1 eps)))) |
(* (pow eps 2) (+ 1/2 (* -1 (/ (- (* 1/2 (/ 1 eps)) 1/2) eps)))) |
(* (pow eps 2) (+ 1/2 (* -1 (/ (- (+ (/ 1/2 (pow eps 2)) (* 1/2 (/ 1 eps))) 1/2) eps)))) |
(/ -1/2 eps) |
(/ (- (* 1/2 eps) 1/2) eps) |
(/ (- (* 1/2 eps) 1/2) eps) |
(/ (- (* 1/2 eps) 1/2) eps) |
1/2 |
(- 1/2 (* 1/2 (/ 1 eps))) |
(- 1/2 (* 1/2 (/ 1 eps))) |
(- 1/2 (* 1/2 (/ 1 eps))) |
1/2 |
(- 1/2 (* 1/2 (/ 1 eps))) |
(- 1/2 (* 1/2 (/ 1 eps))) |
(- 1/2 (* 1/2 (/ 1 eps))) |
(* -1 (* x (+ 1 eps))) |
(* -1 (* x (+ 1 eps))) |
(* -1 (* x (+ 1 eps))) |
(* -1 (* x (+ 1 eps))) |
(* -1 (* x (+ 1 eps))) |
(* -1 (* x (+ 1 eps))) |
(* -1 (* x (+ 1 eps))) |
(* -1 (* x (+ 1 eps))) |
(* -1 (* x (+ 1 eps))) |
(* -1 (* x (+ 1 eps))) |
(* -1 (* x (+ 1 eps))) |
(* -1 (* x (+ 1 eps))) |
(* -1 x) |
(+ (* -1 x) (* -1 (* eps x))) |
(+ (* -1 x) (* -1 (* eps x))) |
(+ (* -1 x) (* -1 (* eps x))) |
(* -1 (* eps x)) |
(* eps (+ (* -1 x) (* -1 (/ x eps)))) |
(* eps (+ (* -1 x) (* -1 (/ x eps)))) |
(* eps (+ (* -1 x) (* -1 (/ x eps)))) |
(* -1 (* eps x)) |
(* -1 (* eps (+ x (/ x eps)))) |
(* -1 (* eps (+ x (/ x eps)))) |
(* -1 (* eps (+ x (/ x eps)))) |
(* x (- eps 1)) |
(* x (- eps 1)) |
(* x (- eps 1)) |
(* x (- eps 1)) |
(* x (- eps 1)) |
(* x (- eps 1)) |
(* x (- eps 1)) |
(* x (- eps 1)) |
(* x (- eps 1)) |
(* x (- eps 1)) |
(* x (- eps 1)) |
(* x (- eps 1)) |
(* -1 x) |
(+ (* -1 x) (* eps x)) |
(+ (* -1 x) (* eps x)) |
(+ (* -1 x) (* eps x)) |
(* eps x) |
(* eps (+ x (* -1 (/ x eps)))) |
(* eps (+ x (* -1 (/ x eps)))) |
(* eps (+ x (* -1 (/ x eps)))) |
(* eps x) |
(* -1 (* eps (+ (* -1 x) (/ x eps)))) |
(* -1 (* eps (+ (* -1 x) (/ x eps)))) |
(* -1 (* eps (+ (* -1 x) (/ x eps)))) |
1 |
(+ 1 (* -1 (* x (+ 1 eps)))) |
(+ 1 (* x (+ (* -1 (+ 1 eps)) (* 1/2 (* x (pow (+ 1 eps) 2)))))) |
(+ 1 (* x (+ (* -1 (+ 1 eps)) (* x (+ (* -1/6 (* x (pow (+ 1 eps) 3))) (* 1/2 (pow (+ 1 eps) 2))))))) |
(exp (* -1 (* x (+ 1 eps)))) |
(exp (* -1 (* x (+ 1 eps)))) |
(exp (* -1 (* x (+ 1 eps)))) |
(exp (* -1 (* x (+ 1 eps)))) |
(exp (* -1 (* x (+ 1 eps)))) |
(exp (* -1 (* x (+ 1 eps)))) |
(exp (* -1 (* x (+ 1 eps)))) |
(exp (* -1 (* x (+ 1 eps)))) |
(exp (* -1 x)) |
(+ (exp (* -1 x)) (* -1 (* eps (* x (exp (* -1 x)))))) |
(+ (exp (* -1 x)) (* eps (+ (* -1 (* x (exp (* -1 x)))) (* 1/2 (* eps (* (pow x 2) (exp (* -1 x)))))))) |
(+ (exp (* -1 x)) (* eps (+ (* -1 (* x (exp (* -1 x)))) (* eps (+ (* -1/6 (* eps (* (pow x 3) (exp (* -1 x))))) (* 1/2 (* (pow x 2) (exp (* -1 x))))))))) |
(exp (* -1 (* x (+ 1 eps)))) |
(exp (* -1 (* x (+ 1 eps)))) |
(exp (* -1 (* x (+ 1 eps)))) |
(exp (* -1 (* x (+ 1 eps)))) |
(exp (* x (- (* -1 eps) 1))) |
(exp (* x (- (* -1 eps) 1))) |
(exp (* x (- (* -1 eps) 1))) |
(exp (* x (- (* -1 eps) 1))) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
2 |
(+ 2 (* 2 x)) |
(+ 2 (* 2 x)) |
(+ 2 (* 2 x)) |
(* 2 x) |
(* x (+ 2 (* 2 (/ 1 x)))) |
(* x (+ 2 (* 2 (/ 1 x)))) |
(* x (+ 2 (* 2 (/ 1 x)))) |
(* 2 x) |
(* x (+ 2 (* 2 (/ 1 x)))) |
(* x (+ 2 (* 2 (/ 1 x)))) |
(* x (+ 2 (* 2 (/ 1 x)))) |
(* -1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))) |
(* -1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))) |
(* -1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))) |
(* -1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))) |
(* -1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))) |
(* -1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))) |
(* -1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))) |
(* -1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))) |
(* -1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))) |
(* -1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))) |
(* -1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))) |
(* -1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))) |
(* -1/2 (/ x eps)) |
(/ (+ (* -1/2 x) (* -1/2 (* eps x))) eps) |
(/ (+ (* -1/2 x) (* eps (+ (* -1/2 x) (* 1/2 (* eps x))))) eps) |
(/ (+ (* -1/2 x) (* eps (+ (* -1/2 x) (* eps (+ (* 1/2 x) (* 1/2 (* eps x))))))) eps) |
(* 1/2 (* (pow eps 2) x)) |
(* (pow eps 2) (+ (* 1/2 x) (* 1/2 (/ x eps)))) |
(* (pow eps 2) (+ (* -1/2 (/ x (pow eps 2))) (+ (* 1/2 x) (* 1/2 (/ x eps))))) |
(* (pow eps 2) (+ (* -1/2 (/ x (pow eps 2))) (+ (* -1/2 (/ x (pow eps 3))) (+ (* 1/2 x) (* 1/2 (/ x eps)))))) |
(* 1/2 (* (pow eps 2) x)) |
(* (pow eps 2) (+ (* 1/2 x) (* 1/2 (/ x eps)))) |
(* (pow eps 2) (+ (* -1 (/ (+ (* -1/2 x) (* 1/2 (/ x eps))) eps)) (* 1/2 x))) |
(* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 x) (* -1/2 (/ x eps))) eps)) (* -1/2 x)) eps)) (* 1/2 x))) |
(- eps 1) |
(- (+ eps (* 1/2 (* x (pow (- 1 eps) 2)))) 1) |
(- (+ eps (* 1/2 (* x (pow (- 1 eps) 2)))) 1) |
(- (+ eps (* 1/2 (* x (pow (- 1 eps) 2)))) 1) |
(* 1/2 (* x (pow (- 1 eps) 2))) |
(* x (- (+ (* 1/2 (pow (- 1 eps) 2)) (/ eps x)) (/ 1 x))) |
(* x (- (+ (* 1/2 (pow (- 1 eps) 2)) (/ eps x)) (/ 1 x))) |
(* x (- (+ (* 1/2 (pow (- 1 eps) 2)) (/ eps x)) (/ 1 x))) |
(* 1/2 (* x (pow (- 1 eps) 2))) |
(* -1 (* x (+ (* -1 (/ (- eps 1) x)) (* -1/2 (pow (- 1 eps) 2))))) |
(* -1 (* x (+ (* -1 (/ (- eps 1) x)) (* -1/2 (pow (- 1 eps) 2))))) |
(* -1 (* x (+ (* -1 (/ (- eps 1) x)) (* -1/2 (pow (- 1 eps) 2))))) |
(- (* 1/2 x) 1) |
(- (+ (* 1/2 x) (* eps (+ 1 (* -1 x)))) 1) |
(- (+ (* 1/2 x) (* eps (+ 1 (+ (* -1 x) (* 1/2 (* eps x)))))) 1) |
(- (+ (* 1/2 x) (* eps (+ 1 (+ (* -1 x) (* 1/2 (* eps x)))))) 1) |
(* 1/2 (* (pow eps 2) x)) |
(* (pow eps 2) (+ (* -1 (/ x eps)) (+ (* 1/2 x) (/ 1 eps)))) |
(* (pow eps 2) (- (+ (* -1 (/ x eps)) (+ (* 1/2 x) (+ (* 1/2 (/ x (pow eps 2))) (/ 1 eps)))) (/ 1 (pow eps 2)))) |
(* (pow eps 2) (- (+ (* -1 (/ x eps)) (+ (* 1/2 x) (+ (* 1/2 (/ x (pow eps 2))) (/ 1 eps)))) (/ 1 (pow eps 2)))) |
(* 1/2 (* (pow eps 2) x)) |
(* (pow eps 2) (+ (* -1 (/ (- x 1) eps)) (* 1/2 x))) |
(* (pow eps 2) (+ (* -1 (/ (- (+ x (* -1 (/ (- (* 1/2 x) 1) eps))) 1) eps)) (* 1/2 x))) |
(* (pow eps 2) (+ (* -1 (/ (- (+ x (* -1 (/ (- (* 1/2 x) 1) eps))) 1) eps)) (* 1/2 x))) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (* x (- (+ eps (* -1 (+ 1 eps))) 1)))) |
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* x (+ (* 1/2 (* x (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- eps 1) 2))))) (* 1/2 (- (+ eps (* -1 (+ 1 eps))) 1))))) |
(fma.f64 x (fma.f64 x (*.f64 #s(literal 1/4 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (fma.f64 #s(literal 1/2 binary64) (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(+ 1 (* x (+ (* 1/2 (- (+ eps (* -1 (+ 1 eps))) 1)) (* x (+ (* 1/2 (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3))))) (* 1/2 (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- eps 1) 2))))))))) |
(fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal -1/6 binary64)) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64))))) (*.f64 #s(literal 1/4 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))) (fma.f64 #s(literal 1/2 binary64) (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))) |
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))) |
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))) |
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))) |
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))) |
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))) |
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))) |
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))) |
(exp (* -1 x)) |
(exp.f64 (-.f64 #s(literal 0 binary64) x)) |
(+ (exp (* -1 x)) (* 1/2 (* eps (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (* -1 x))))))) |
(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 0 binary64)) |
(+ (exp (* -1 x)) (* eps (+ (* 1/2 (* eps (* (pow x 2) (exp (* -1 x))))) (* 1/2 (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (* -1 x)))))))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 eps (fma.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (*.f64 eps (*.f64 x x)) #s(literal 0 binary64))) (exp.f64 (-.f64 #s(literal 0 binary64) x))) |
(+ (exp (* -1 x)) (* eps (+ (* 1/2 (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (* -1 x))))) (* eps (+ (* 1/2 (* eps (+ (* -1/6 (* (pow x 3) (exp (* -1 x)))) (* 1/6 (* (pow x 3) (exp (* -1 x))))))) (* 1/2 (* (pow x 2) (exp (* -1 x))))))))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 eps (fma.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (*.f64 eps (*.f64 x x)) #s(literal 0 binary64))) (exp.f64 (-.f64 #s(literal 0 binary64) x))) |
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))) |
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))) |
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))) |
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))) |
(* 1/2 (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1))))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))) |
(* 1/2 (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1))))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))) |
(* 1/2 (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1))))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))) |
(* 1/2 (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1))))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))) |
2 |
#s(literal 2 binary64) |
(+ 2 (* x (- (+ eps (* -1 (+ 1 eps))) 1))) |
(fma.f64 x (+.f64 eps (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps))) #s(literal 2 binary64)) |
(+ 2 (* x (- (+ eps (+ (* -1 (+ 1 eps)) (* x (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- eps 1) 2)))))) 1))) |
(fma.f64 x (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (+.f64 eps (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)) |
(+ 2 (* x (- (+ eps (+ (* -1 (+ 1 eps)) (* x (+ (* 1/2 (pow (+ 1 eps) 2)) (+ (* 1/2 (pow (- eps 1) 2)) (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3))))))))) 1))) |
(fma.f64 x (+.f64 eps (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 x (fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal -1/6 binary64)) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64)))))) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)) |
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))) |
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) |
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))) |
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) |
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))) |
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) |
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))) |
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) |
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))) |
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) |
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))) |
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) |
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))) |
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) |
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))) |
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) |
(* 2 (exp (* -1 x))) |
(*.f64 #s(literal 2 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x))) |
(+ (* 2 (exp (* -1 x))) (* eps (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (* -1 x)))))) |
(fma.f64 #s(literal 2 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 0 binary64)) |
(+ (* 2 (exp (* -1 x))) (* eps (+ (* -1 (* x (exp (* -1 x)))) (+ (* eps (* (pow x 2) (exp (* -1 x)))) (* x (exp (* -1 x))))))) |
(fma.f64 #s(literal 2 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x)) (*.f64 eps (fma.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (*.f64 eps (*.f64 x x)) #s(literal 0 binary64)))) |
(+ (* 2 (exp (* -1 x))) (* eps (+ (* -1 (* x (exp (* -1 x)))) (+ (* eps (+ (* eps (+ (* -1/6 (* (pow x 3) (exp (* -1 x)))) (* 1/6 (* (pow x 3) (exp (* -1 x)))))) (* (pow x 2) (exp (* -1 x))))) (* x (exp (* -1 x))))))) |
(fma.f64 #s(literal 2 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x)) (*.f64 eps (fma.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (*.f64 eps (*.f64 x x)) #s(literal 0 binary64)))) |
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))) |
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) |
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))) |
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) |
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))) |
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) |
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))) |
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) |
(+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1)))) |
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) |
(+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1)))) |
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) |
(+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1)))) |
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) |
(+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1)))) |
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) |
1 |
#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 x (fma.f64 x (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/2 binary64))) (+.f64 eps #s(literal -1 binary64))) #s(literal 1 binary64)) |
(+ 1 (* x (- (+ eps (* x (+ (* 1/6 (* x (pow (- eps 1) 3))) (* 1/2 (pow (- eps 1) 2))))) 1))) |
(fma.f64 x (+.f64 eps (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 x (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64))))) #s(literal -1 binary64))) #s(literal 1 binary64)) |
(exp (* x (- eps 1))) |
(exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) |
(exp (* x (- eps 1))) |
(exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) |
(exp (* x (- eps 1))) |
(exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) |
(exp (* x (- eps 1))) |
(exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) |
(exp (* x (- eps 1))) |
(exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) |
(exp (* x (- eps 1))) |
(exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) |
(exp (* x (- eps 1))) |
(exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) |
(exp (* x (- eps 1))) |
(exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) |
(exp (* -1 x)) |
(exp.f64 (-.f64 #s(literal 0 binary64) x)) |
(+ (exp (* -1 x)) (* eps (* x (exp (* -1 x))))) |
(*.f64 (fma.f64 x eps #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x))) |
(+ (exp (* -1 x)) (* eps (+ (* 1/2 (* eps (* (pow x 2) (exp (* -1 x))))) (* x (exp (* -1 x)))))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 eps (fma.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (*.f64 eps (*.f64 x x)) #s(literal 0 binary64))) (*.f64 (fma.f64 x eps #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x)))) |
(+ (exp (* -1 x)) (* eps (+ (* eps (+ (* 1/6 (* eps (* (pow x 3) (exp (* -1 x))))) (* 1/2 (* (pow x 2) (exp (* -1 x)))))) (* x (exp (* -1 x)))))) |
(fma.f64 (fma.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 1/6 binary64)))) (*.f64 eps eps) (*.f64 (fma.f64 x eps #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x)))) |
(exp (* x (- eps 1))) |
(exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) |
(exp (* x (- eps 1))) |
(exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) |
(exp (* x (- eps 1))) |
(exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) |
(exp (* x (- eps 1))) |
(exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) |
(exp (* -1 (* x (+ 1 (* -1 eps))))) |
(exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) |
(exp (* -1 (* x (+ 1 (* -1 eps))))) |
(exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) |
(exp (* -1 (* x (+ 1 (* -1 eps))))) |
(exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) |
(exp (* -1 (* x (+ 1 (* -1 eps))))) |
(exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) |
-1 |
#s(literal -1 binary64) |
(- eps 1) |
(+.f64 eps #s(literal -1 binary64)) |
(- eps 1) |
(+.f64 eps #s(literal -1 binary64)) |
(- eps 1) |
(+.f64 eps #s(literal -1 binary64)) |
eps |
(* eps (- 1 (/ 1 eps))) |
(+.f64 eps #s(literal -1 binary64)) |
(* eps (- 1 (/ 1 eps))) |
(+.f64 eps #s(literal -1 binary64)) |
(* eps (- 1 (/ 1 eps))) |
(+.f64 eps #s(literal -1 binary64)) |
eps |
(* -1 (* eps (- (/ 1 eps) 1))) |
(+.f64 eps #s(literal -1 binary64)) |
(* -1 (* eps (- (/ 1 eps) 1))) |
(+.f64 eps #s(literal -1 binary64)) |
(* -1 (* eps (- (/ 1 eps) 1))) |
(+.f64 eps #s(literal -1 binary64)) |
0 |
#s(literal 0 binary64) |
0 |
#s(literal 0 binary64) |
0 |
#s(literal 0 binary64) |
0 |
#s(literal 0 binary64) |
0 |
#s(literal 0 binary64) |
0 |
#s(literal 0 binary64) |
0 |
#s(literal 0 binary64) |
0 |
#s(literal 0 binary64) |
0 |
#s(literal 0 binary64) |
0 |
#s(literal 0 binary64) |
0 |
#s(literal 0 binary64) |
0 |
#s(literal 0 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (* x (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1)))))) |
(fma.f64 (fma.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))) (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) |
(+ 1 (* 1/2 (* x (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1)))))) |
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(fma.f64 #s(literal 1/2 binary64) x (fma.f64 eps (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) |
(- (+ (* 1/2 x) (* eps (+ 1 (+ (* -1 x) (* 1/2 (* eps x)))))) 1) |
(fma.f64 eps (fma.f64 x (fma.f64 #s(literal 1/2 binary64) eps #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) |
(- (+ (* 1/2 x) (* eps (+ 1 (+ (* -1 x) (* 1/2 (* eps x)))))) 1) |
(fma.f64 eps (fma.f64 x (fma.f64 #s(literal 1/2 binary64) eps #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) |
(* 1/2 (* (pow eps 2) x)) |
(*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps))) |
(* (pow eps 2) (+ (* -1 (/ x eps)) (+ (* 1/2 x) (/ 1 eps)))) |
(*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/2 binary64) x (/.f64 (-.f64 #s(literal 1 binary64) x) eps))) |
(* (pow eps 2) (- (+ (* -1 (/ x eps)) (+ (* 1/2 x) (+ (* 1/2 (/ x (pow eps 2))) (/ 1 eps)))) (/ 1 (pow eps 2)))) |
(*.f64 (*.f64 eps eps) (+.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 x (/.f64 x (*.f64 eps eps))) (/.f64 (-.f64 #s(literal 1 binary64) x) eps)) (/.f64 #s(literal -1 binary64) (*.f64 eps eps)))) |
(* (pow eps 2) (- (+ (* -1 (/ x eps)) (+ (* 1/2 x) (+ (* 1/2 (/ x (pow eps 2))) (/ 1 eps)))) (/ 1 (pow eps 2)))) |
(*.f64 (*.f64 eps eps) (+.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 x (/.f64 x (*.f64 eps eps))) (/.f64 (-.f64 #s(literal 1 binary64) x) eps)) (/.f64 #s(literal -1 binary64) (*.f64 eps eps)))) |
(* 1/2 (* (pow eps 2) x)) |
(*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps))) |
(* (pow eps 2) (+ (* -1 (/ (- x 1) eps)) (* 1/2 x))) |
(*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/2 binary64) x (/.f64 (-.f64 #s(literal 1 binary64) x) eps))) |
(* (pow eps 2) (+ (* -1 (/ (- (+ x (* -1 (/ (- (* 1/2 x) 1) eps))) 1) eps)) (* 1/2 x))) |
(*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/2 binary64) x (/.f64 (+.f64 (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) eps) (+.f64 x #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) eps)))) |
(* (pow eps 2) (+ (* -1 (/ (- (+ x (* -1 (/ (- (* 1/2 x) 1) eps))) 1) eps)) (* 1/2 x))) |
(*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/2 binary64) x (/.f64 (+.f64 (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) eps) (+.f64 x #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) eps)))) |
Compiled 60 296 to 4 862 computations (91.9% saved)
21 alts after pruning (20 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 398 | 20 | 1 418 |
| Fresh | 2 | 0 | 2 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 404 | 21 | 1 425 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 35.7% | (fma.f64 (fma.f64 (/.f64 (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64)) (fma.f64 eps eps (-.f64 #s(literal 1 binary64) eps))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps))) (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) |
| 40.4% | (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) | |
| 50.0% | (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) | |
| 73.5% | (fma.f64 x (fma.f64 x (*.f64 #s(literal 1/4 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (fma.f64 #s(literal 1/2 binary64) (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) | |
| 40.5% | (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) | |
| ▶ | 40.3% | (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
| 72.4% | (fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))))))) #s(literal 1 binary64)) | |
| ▶ | 63.5% | (fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 x (*.f64 eps eps) #s(literal 0 binary64)))) #s(literal 1 binary64)) |
| 61.9% | (fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 eps (fma.f64 x eps #s(literal 1 binary64)) #s(literal 0 binary64)))) #s(literal 1 binary64)) | |
| ▶ | 74.2% | (fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 x (*.f64 eps eps) #s(literal 0 binary64))) #s(literal 1 binary64)) |
| 74.8% | (fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (fma.f64 eps (-.f64 (fma.f64 x (*.f64 eps eps) #s(literal 0 binary64)) x) #s(literal 0 binary64)) eps)) #s(literal 1 binary64)) | |
| 16.1% | (*.f64 (fma.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))) (*.f64 #s(literal 1/2 binary64) x)) | |
| 37.5% | (*.f64 #s(literal 1/2 binary64) (fma.f64 x (+.f64 eps (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 x (fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal -1/6 binary64)) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64)))))) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64))) | |
| 57.0% | (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))) (fma.f64 x (-.f64 (fma.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 #s(literal 1/2 binary64) eps #s(literal 1/2 binary64)))) #s(literal -1 binary64)) eps) #s(literal 1 binary64)))) | |
| 62.6% | (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))) #s(literal 1 binary64))) | |
| ▶ | 84.0% | (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) |
| 61.9% | (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) | |
| 49.9% | (*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x))) | |
| 40.5% | (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 2 binary64)) x))) | |
| 69.7% | (exp.f64 (-.f64 #s(literal 0 binary64) x)) | |
| ✓ | 41.3% | #s(literal 1 binary64) |
Compiled 873 to 515 computations (41% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64)) (fma.f64 eps eps (-.f64 #s(literal 1 binary64) eps))) |
| ✓ | cost-diff | 0 | (fma.f64 (fma.f64 (/.f64 (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64)) (fma.f64 eps eps (-.f64 #s(literal 1 binary64) eps))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps))) (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) |
| ✓ | cost-diff | 512 | (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps)) |
| ✓ | cost-diff | 576 | (fma.f64 (/.f64 (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64)) (fma.f64 eps eps (-.f64 #s(literal 1 binary64) eps))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps))) |
| ✓ | cost-diff | 0 | (+.f64 eps #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 x (*.f64 eps eps) #s(literal 0 binary64)))) #s(literal 1 binary64)) |
| ✓ | cost-diff | 64 | (fma.f64 x (*.f64 eps eps) #s(literal 0 binary64)) |
| ✓ | cost-diff | 704 | (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 x (*.f64 eps eps) #s(literal 0 binary64))) |
| ✓ | cost-diff | -64 | (*.f64 eps eps) |
| ✓ | cost-diff | -64 | (*.f64 x (fma.f64 x (*.f64 eps eps) #s(literal 0 binary64))) |
| ✓ | cost-diff | 0 | (fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 x (*.f64 eps eps) #s(literal 0 binary64))) #s(literal 1 binary64)) |
| ✓ | cost-diff | 64 | (fma.f64 x (*.f64 eps eps) #s(literal 0 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x #s(literal -1/2 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x eps) |
| ✓ | cost-diff | 0 | (exp.f64 (*.f64 x eps)) |
| ✓ | cost-diff | 0 | (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) |
| 19 484× | accelerator-lowering-fma.f32 |
| 19 484× | accelerator-lowering-fma.f64 |
| 3 428× | *-lowering-*.f32 |
| 3 428× | *-lowering-*.f64 |
| 3 334× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 299 |
| 1 | 132 | 299 |
| 2 | 369 | 299 |
| 3 | 1198 | 279 |
| 4 | 4892 | 271 |
| 0 | 8202 | 257 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (+ (exp (* x eps)) (exp (* x (- -1 eps))))) |
1/2 |
(+ (exp (* x eps)) (exp (* x (- -1 eps)))) |
(exp (* x eps)) |
(* x eps) |
x |
eps |
(exp (* x (- -1 eps))) |
(* x (- -1 eps)) |
(- -1 eps) |
-1 |
(+ (* x (* x -1/2)) 1) |
x |
(* x -1/2) |
-1/2 |
1 |
(+ (* 1/2 (* x (+ (* x (* eps eps)) 0))) 1) |
1/2 |
(* x (+ (* x (* eps eps)) 0)) |
x |
(+ (* x (* eps eps)) 0) |
(* eps eps) |
eps |
0 |
1 |
(+ (* 1/2 (* x (+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (* x (* eps eps)) 0)))) 1) |
1/2 |
(* x (+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (* x (* eps eps)) 0))) |
x |
(+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (* x (* eps eps)) 0)) |
(+ eps 1) |
eps |
1 |
(+ -1 (/ 1 eps)) |
-1 |
(/ 1 eps) |
(+ (* x (* eps eps)) 0) |
(* eps eps) |
0 |
(+ (* (+ (* (/ (+ (* eps (* eps eps)) 1) (+ (* eps eps) (- 1 eps))) (+ -1 (/ 1 eps))) (* (+ 1 (/ 1 eps)) (+ -1 eps))) (* 1/2 x)) 1) |
(+ (* (/ (+ (* eps (* eps eps)) 1) (+ (* eps eps) (- 1 eps))) (+ -1 (/ 1 eps))) (* (+ 1 (/ 1 eps)) (+ -1 eps))) |
(/ (+ (* eps (* eps eps)) 1) (+ (* eps eps) (- 1 eps))) |
(+ (* eps (* eps eps)) 1) |
eps |
(* eps eps) |
1 |
(+ (* eps eps) (- 1 eps)) |
(- 1 eps) |
(+ -1 (/ 1 eps)) |
-1 |
(/ 1 eps) |
(* (+ 1 (/ 1 eps)) (+ -1 eps)) |
(+ 1 (/ 1 eps)) |
(+ -1 eps) |
(* 1/2 x) |
1/2 |
x |
| Outputs |
|---|
(* 1/2 (+ (exp (* x eps)) (exp (* x (- -1 eps))))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (fma.f64 x (-.f64 #s(literal -1 binary64) eps) #s(literal 0 binary64))))) |
1/2 |
#s(literal 1/2 binary64) |
(+ (exp (* x eps)) (exp (* x (- -1 eps)))) |
(+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (fma.f64 x (-.f64 #s(literal -1 binary64) eps) #s(literal 0 binary64)))) |
(exp (* x eps)) |
(exp.f64 (*.f64 x eps)) |
(* x eps) |
(*.f64 x eps) |
x |
eps |
(exp (* x (- -1 eps))) |
(exp.f64 (fma.f64 x (-.f64 #s(literal -1 binary64) eps) #s(literal 0 binary64))) |
(* x (- -1 eps)) |
(fma.f64 x (-.f64 #s(literal -1 binary64) eps) #s(literal 0 binary64)) |
(- -1 eps) |
(-.f64 #s(literal -1 binary64) eps) |
-1 |
#s(literal -1 binary64) |
(+ (* x (* x -1/2)) 1) |
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
x |
(* x -1/2) |
(*.f64 x #s(literal -1/2 binary64)) |
-1/2 |
#s(literal -1/2 binary64) |
1 |
#s(literal 1 binary64) |
(+ (* 1/2 (* x (+ (* x (* eps eps)) 0))) 1) |
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (fma.f64 eps (*.f64 x eps) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(* x (+ (* x (* eps eps)) 0)) |
(fma.f64 x (fma.f64 eps (*.f64 x eps) #s(literal 0 binary64)) #s(literal 0 binary64)) |
x |
(+ (* x (* eps eps)) 0) |
(fma.f64 eps (*.f64 x eps) #s(literal 0 binary64)) |
(* eps eps) |
(fma.f64 eps eps #s(literal 0 binary64)) |
eps |
0 |
#s(literal 0 binary64) |
1 |
#s(literal 1 binary64) |
(+ (* 1/2 (* x (+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (* x (* eps eps)) 0)))) 1) |
(fma.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 eps (fma.f64 x eps #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) eps)) #s(literal 0 binary64)) #s(literal 1 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(* x (+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (* x (* eps eps)) 0))) |
(fma.f64 x (fma.f64 eps (fma.f64 x eps #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) eps)) #s(literal 0 binary64)) |
x |
(+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (* x (* eps eps)) 0)) |
(fma.f64 eps (fma.f64 x eps #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) eps)) |
(+ eps 1) |
(+.f64 eps #s(literal 1 binary64)) |
eps |
1 |
#s(literal 1 binary64) |
(+ -1 (/ 1 eps)) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) |
-1 |
#s(literal -1 binary64) |
(/ 1 eps) |
(/.f64 #s(literal 1 binary64) eps) |
(+ (* x (* eps eps)) 0) |
(fma.f64 eps (*.f64 x eps) #s(literal 0 binary64)) |
(* eps eps) |
(fma.f64 eps eps #s(literal 0 binary64)) |
0 |
#s(literal 0 binary64) |
(+ (* (+ (* (/ (+ (* eps (* eps eps)) 1) (+ (* eps eps) (- 1 eps))) (+ -1 (/ 1 eps))) (* (+ 1 (/ 1 eps)) (+ -1 eps))) (* 1/2 x)) 1) |
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 (/.f64 (fma.f64 eps (fma.f64 eps eps #s(literal 0 binary64)) #s(literal 1 binary64)) (fma.f64 eps (+.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) eps)))) #s(literal 1 binary64)) |
(+ (* (/ (+ (* eps (* eps eps)) 1) (+ (* eps eps) (- 1 eps))) (+ -1 (/ 1 eps))) (* (+ 1 (/ 1 eps)) (+ -1 eps))) |
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 (/.f64 (fma.f64 eps (fma.f64 eps eps #s(literal 0 binary64)) #s(literal 1 binary64)) (fma.f64 eps (+.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) eps))) |
(/ (+ (* eps (* eps eps)) 1) (+ (* eps eps) (- 1 eps))) |
(/.f64 (fma.f64 eps (fma.f64 eps eps #s(literal 0 binary64)) #s(literal 1 binary64)) (fma.f64 eps (+.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) |
(+ (* eps (* eps eps)) 1) |
(fma.f64 eps (fma.f64 eps eps #s(literal 0 binary64)) #s(literal 1 binary64)) |
eps |
(* eps eps) |
(fma.f64 eps eps #s(literal 0 binary64)) |
1 |
#s(literal 1 binary64) |
(+ (* eps eps) (- 1 eps)) |
(fma.f64 eps (+.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) |
(- 1 eps) |
(-.f64 #s(literal 1 binary64) eps) |
(+ -1 (/ 1 eps)) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) |
-1 |
#s(literal -1 binary64) |
(/ 1 eps) |
(/.f64 #s(literal 1 binary64) eps) |
(* (+ 1 (/ 1 eps)) (+ -1 eps)) |
(+.f64 eps (/.f64 #s(literal -1 binary64) eps)) |
(+ 1 (/ 1 eps)) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) |
(+ -1 eps) |
(+.f64 eps #s(literal -1 binary64)) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
1/2 |
#s(literal 1/2 binary64) |
x |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps)) |
| ✓ | accuracy | 99.9% | (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64)) |
| ✓ | accuracy | 94.3% | (fma.f64 (/.f64 (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64)) (fma.f64 eps eps (-.f64 #s(literal 1 binary64) eps))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps))) |
| ✓ | accuracy | 62.9% | (/.f64 (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64)) (fma.f64 eps eps (-.f64 #s(literal 1 binary64) eps))) |
| ✓ | accuracy | 100.0% | (*.f64 eps eps) |
| ✓ | accuracy | 100.0% | (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 x (*.f64 eps eps) #s(literal 0 binary64))) |
| ✓ | accuracy | 96.4% | (*.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 x (*.f64 eps eps) #s(literal 0 binary64)))) |
| ✓ | accuracy | 87.9% | (fma.f64 x (*.f64 eps eps) #s(literal 0 binary64)) |
| ✓ | accuracy | 100.0% | (fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 x (*.f64 eps eps) #s(literal 0 binary64))) #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 eps eps) |
| ✓ | accuracy | 95.7% | (*.f64 x (fma.f64 x (*.f64 eps eps) #s(literal 0 binary64))) |
| ✓ | accuracy | 87.9% | (fma.f64 x (*.f64 eps eps) #s(literal 0 binary64)) |
| ✓ | accuracy | 100.0% | (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 x #s(literal -1/2 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) |
| ✓ | accuracy | 100.0% | (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) |
| ✓ | accuracy | 100.0% | (exp.f64 (*.f64 x eps)) |
| ✓ | accuracy | 100.0% | (*.f64 x (-.f64 #s(literal -1 binary64) eps)) |
| 106.0ms | 168× | 1 | valid |
| 91.0ms | 88× | 2 | valid |
Compiled 299 to 46 computations (84.6% saved)
ival-mult: 55.0ms (36.9% of total)ival-add: 48.0ms (32.2% of total)adjust: 21.0ms (14.1% of total)ival-div: 10.0ms (6.7% of total)ival-exp: 8.0ms (5.4% of total)ival-sub: 6.0ms (4% of total)exact: 1.0ms (0.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* 1/2 (+ (exp (* x eps)) (exp (* x (- -1 eps)))))> |
#<alt (+ (exp (* x eps)) (exp (* x (- -1 eps))))> |
#<alt (exp (* x eps))> |
#<alt (* x eps)> |
#<alt (+ (* x (* x -1/2)) 1)> |
#<alt (* x -1/2)> |
#<alt (+ (* x (* eps eps)) 0)> |
#<alt (+ (* 1/2 (* x (+ (* x (* eps eps)) 0))) 1)> |
#<alt (* x (+ (* x (* eps eps)) 0))> |
#<alt (* eps eps)> |
#<alt (+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (* x (* eps eps)) 0))> |
#<alt (+ (* 1/2 (* x (+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (* x (* eps eps)) 0)))) 1)> |
#<alt (+ eps 1)> |
#<alt (+ (* (/ (+ (* eps (* eps eps)) 1) (+ (* eps eps) (- 1 eps))) (+ -1 (/ 1 eps))) (* (+ 1 (/ 1 eps)) (+ -1 eps)))> |
#<alt (* (+ 1 (/ 1 eps)) (+ -1 eps))> |
#<alt (+ (* (+ (* (/ (+ (* eps (* eps eps)) 1) (+ (* eps eps) (- 1 eps))) (+ -1 (/ 1 eps))) (* (+ 1 (/ 1 eps)) (+ -1 eps))) (* 1/2 x)) 1)> |
#<alt (/ (+ (* eps (* eps eps)) 1) (+ (* eps eps) (- 1 eps)))> |
#<alt (* x (- -1 eps))> |
#<alt (exp (* x (- -1 eps)))> |
#<alt (* x (+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (* x (* eps eps)) 0)))> |
#<alt (+ (* eps (* eps eps)) 1)> |
| Outputs |
|---|
#<alt 1> |
#<alt (+ 1 (* 1/2 (* x (+ eps (* -1 (+ 1 eps))))))> |
#<alt (+ 1 (* x (+ (* 1/2 (* x (+ (* 1/2 (pow eps 2)) (* 1/2 (pow (+ 1 eps) 2))))) (* 1/2 (+ eps (* -1 (+ 1 eps)))))))> |
#<alt (+ 1 (* x (+ (* 1/2 (+ eps (* -1 (+ 1 eps)))) (* x (+ (* 1/2 (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow eps 3))))) (* 1/2 (+ (* 1/2 (pow eps 2)) (* 1/2 (pow (+ 1 eps) 2)))))))))> |
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))> |
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))> |
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))> |
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))> |
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))> |
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))> |
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))> |
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))> |
#<alt (* 1/2 (+ 1 (exp (* -1 x))))> |
#<alt (+ (* 1/2 (* eps (+ x (* -1 (* x (exp (* -1 x))))))) (* 1/2 (+ 1 (exp (* -1 x)))))> |
#<alt (+ (* 1/2 (+ 1 (exp (* -1 x)))) (* eps (+ (* 1/2 (* eps (+ (* 1/2 (* (pow x 2) (exp (* -1 x)))) (* 1/2 (pow x 2))))) (* 1/2 (+ x (* -1 (* x (exp (* -1 x)))))))))> |
#<alt (+ (* 1/2 (+ 1 (exp (* -1 x)))) (* eps (+ (* 1/2 (+ x (* -1 (* x (exp (* -1 x)))))) (* eps (+ (* 1/2 (* eps (+ (* -1/6 (* (pow x 3) (exp (* -1 x)))) (* 1/6 (pow x 3))))) (* 1/2 (+ (* 1/2 (* (pow x 2) (exp (* -1 x)))) (* 1/2 (pow x 2)))))))))> |
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))> |
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))> |
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))> |
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))> |
#<alt (* 1/2 (+ (exp (* eps x)) (exp (* x (- (* -1 eps) 1)))))> |
#<alt (* 1/2 (+ (exp (* eps x)) (exp (* x (- (* -1 eps) 1)))))> |
#<alt (* 1/2 (+ (exp (* eps x)) (exp (* x (- (* -1 eps) 1)))))> |
#<alt (* 1/2 (+ (exp (* eps x)) (exp (* x (- (* -1 eps) 1)))))> |
#<alt 2> |
#<alt (+ 2 (* x (+ eps (* -1 (+ 1 eps)))))> |
#<alt (+ 2 (* x (+ eps (+ (* -1 (+ 1 eps)) (* x (+ (* 1/2 (pow eps 2)) (* 1/2 (pow (+ 1 eps) 2))))))))> |
#<alt (+ 2 (* x (+ eps (+ (* -1 (+ 1 eps)) (* x (+ (* 1/2 (pow eps 2)) (+ (* 1/2 (pow (+ 1 eps) 2)) (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow eps 3)))))))))))> |
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))> |
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))> |
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))> |
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))> |
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))> |
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))> |
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))> |
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))> |
#<alt (+ 1 (exp (* -1 x)))> |
#<alt (+ 1 (+ (exp (* -1 x)) (* eps (+ x (* -1 (* x (exp (* -1 x))))))))> |
#<alt (+ 1 (+ (exp (* -1 x)) (* eps (+ x (+ (* -1 (* x (exp (* -1 x)))) (* eps (+ (* 1/2 (* (pow x 2) (exp (* -1 x)))) (* 1/2 (pow x 2)))))))))> |
#<alt (+ 1 (+ (exp (* -1 x)) (* eps (+ x (+ (* -1 (* x (exp (* -1 x)))) (* eps (+ (* 1/2 (* (pow x 2) (exp (* -1 x)))) (+ (* 1/2 (pow x 2)) (* eps (+ (* -1/6 (* (pow x 3) (exp (* -1 x)))) (* 1/6 (pow x 3))))))))))))> |
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))> |
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))> |
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))> |
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))> |
#<alt (+ (exp (* eps x)) (exp (* x (- (* -1 eps) 1))))> |
#<alt (+ (exp (* eps x)) (exp (* x (- (* -1 eps) 1))))> |
#<alt (+ (exp (* eps x)) (exp (* x (- (* -1 eps) 1))))> |
#<alt (+ (exp (* eps x)) (exp (* x (- (* -1 eps) 1))))> |
#<alt 1> |
#<alt (+ 1 (* eps x))> |
#<alt (+ 1 (* x (+ eps (* 1/2 (* (pow eps 2) x)))))> |
#<alt (+ 1 (* x (+ eps (* x (+ (* 1/6 (* (pow eps 3) x)) (* 1/2 (pow eps 2)))))))> |
#<alt (exp (* eps x))> |
#<alt (exp (* eps x))> |
#<alt (exp (* eps x))> |
#<alt (exp (* eps x))> |
#<alt (exp (* eps x))> |
#<alt (exp (* eps x))> |
#<alt (exp (* eps x))> |
#<alt (exp (* eps x))> |
#<alt 1> |
#<alt (+ 1 (* eps x))> |
#<alt (+ 1 (* eps (+ x (* 1/2 (* eps (pow x 2))))))> |
#<alt (+ 1 (* eps (+ x (* eps (+ (* 1/6 (* eps (pow x 3))) (* 1/2 (pow x 2)))))))> |
#<alt (exp (* eps x))> |
#<alt (exp (* eps x))> |
#<alt (exp (* eps x))> |
#<alt (exp (* eps x))> |
#<alt (exp (* eps x))> |
#<alt (exp (* eps x))> |
#<alt (exp (* eps x))> |
#<alt (exp (* eps x))> |
#<alt (* eps x)> |
#<alt (* eps x)> |
#<alt (* eps x)> |
#<alt (* eps x)> |
#<alt (* eps x)> |
#<alt (* eps x)> |
#<alt (* eps x)> |
#<alt (* eps x)> |
#<alt (* eps x)> |
#<alt (* eps x)> |
#<alt (* eps x)> |
#<alt (* eps x)> |
#<alt (* eps x)> |
#<alt (* eps x)> |
#<alt (* eps x)> |
#<alt (* eps x)> |
#<alt (* eps x)> |
#<alt (* eps x)> |
#<alt (* eps x)> |
#<alt (* eps x)> |
#<alt (* eps x)> |
#<alt (* eps x)> |
#<alt (* eps x)> |
#<alt (* eps x)> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (pow x 2)))> |
#<alt (+ 1 (* -1/2 (pow x 2)))> |
#<alt (+ 1 (* -1/2 (pow x 2)))> |
#<alt (* -1/2 (pow x 2))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))> |
#<alt (* -1/2 (pow x 2))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))> |
#<alt (* -1/2 x)> |
#<alt (* -1/2 x)> |
#<alt (* -1/2 x)> |
#<alt (* -1/2 x)> |
#<alt (* -1/2 x)> |
#<alt (* -1/2 x)> |
#<alt (* -1/2 x)> |
#<alt (* -1/2 x)> |
#<alt (* -1/2 x)> |
#<alt (* -1/2 x)> |
#<alt (* -1/2 x)> |
#<alt (* -1/2 x)> |
#<alt (* (pow eps 2) x)> |
#<alt (* (pow eps 2) x)> |
#<alt (* (pow eps 2) x)> |
#<alt (* (pow eps 2) x)> |
#<alt (* (pow eps 2) x)> |
#<alt (* (pow eps 2) x)> |
#<alt (* (pow eps 2) x)> |
#<alt (* (pow eps 2) x)> |
#<alt (* (pow eps 2) x)> |
#<alt (* (pow eps 2) x)> |
#<alt (* (pow eps 2) x)> |
#<alt (* (pow eps 2) x)> |
#<alt (* (pow eps 2) x)> |
#<alt (* (pow eps 2) x)> |
#<alt (* (pow eps 2) x)> |
#<alt (* (pow eps 2) x)> |
#<alt (* (pow eps 2) x)> |
#<alt (* (pow eps 2) x)> |
#<alt (* (pow eps 2) x)> |
#<alt (* (pow eps 2) x)> |
#<alt (* (pow eps 2) x)> |
#<alt (* (pow eps 2) x)> |
#<alt (* (pow eps 2) x)> |
#<alt (* (pow eps 2) x)> |
#<alt 1> |
#<alt (+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))> |
#<alt (+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))> |
#<alt (+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))> |
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))> |
#<alt (* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2))))> |
#<alt (* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2))))> |
#<alt (* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2))))> |
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))> |
#<alt (* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2))))> |
#<alt (* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2))))> |
#<alt (* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2))))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))> |
#<alt (+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))> |
#<alt (+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))> |
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))> |
#<alt (* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))> |
#<alt (* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))> |
#<alt (* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))> |
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))> |
#<alt (* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))> |
#<alt (* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))> |
#<alt (* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))> |
#<alt (* (pow eps 2) (pow x 2))> |
#<alt (* (pow eps 2) (pow x 2))> |
#<alt (* (pow eps 2) (pow x 2))> |
#<alt (* (pow eps 2) (pow x 2))> |
#<alt (* (pow eps 2) (pow x 2))> |
#<alt (* (pow eps 2) (pow x 2))> |
#<alt (* (pow eps 2) (pow x 2))> |
#<alt (* (pow eps 2) (pow x 2))> |
#<alt (* (pow eps 2) (pow x 2))> |
#<alt (* (pow eps 2) (pow x 2))> |
#<alt (* (pow eps 2) (pow x 2))> |
#<alt (* (pow eps 2) (pow x 2))> |
#<alt (* (pow eps 2) (pow x 2))> |
#<alt (* (pow eps 2) (pow x 2))> |
#<alt (* (pow eps 2) (pow x 2))> |
#<alt (* (pow eps 2) (pow x 2))> |
#<alt (* (pow eps 2) (pow x 2))> |
#<alt (* (pow eps 2) (pow x 2))> |
#<alt (* (pow eps 2) (pow x 2))> |
#<alt (* (pow eps 2) (pow x 2))> |
#<alt (* (pow eps 2) (pow x 2))> |
#<alt (* (pow eps 2) (pow x 2))> |
#<alt (* (pow eps 2) (pow x 2))> |
#<alt (* (pow eps 2) (pow x 2))> |
#<alt (pow eps 2)> |
#<alt (pow eps 2)> |
#<alt (pow eps 2)> |
#<alt (pow eps 2)> |
#<alt (pow eps 2)> |
#<alt (pow eps 2)> |
#<alt (pow eps 2)> |
#<alt (pow eps 2)> |
#<alt (pow eps 2)> |
#<alt (pow eps 2)> |
#<alt (pow eps 2)> |
#<alt (pow eps 2)> |
#<alt (/ 1 eps)> |
#<alt (/ (+ 1 (* -1 (pow eps 2))) eps)> |
#<alt (/ (+ 1 (* (pow eps 2) (- (* eps x) 1))) eps)> |
#<alt (/ (+ 1 (* (pow eps 2) (- (* eps x) 1))) eps)> |
#<alt (* (pow eps 2) x)> |
#<alt (* (pow eps 2) (- x (/ 1 eps)))> |
#<alt (* (pow eps 2) (- (+ x (/ 1 (pow eps 3))) (/ 1 eps)))> |
#<alt (* (pow eps 2) (- (+ x (/ 1 (pow eps 3))) (/ 1 eps)))> |
#<alt (* (pow eps 2) x)> |
#<alt (* (pow eps 2) (- x (/ 1 eps)))> |
#<alt (* (pow eps 2) (+ x (* -1 (/ (- 1 (/ 1 (pow eps 2))) eps))))> |
#<alt (* (pow eps 2) (+ x (* -1 (/ (- 1 (/ 1 (pow eps 2))) eps))))> |
#<alt (* (+ 1 eps) (- (/ 1 eps) 1))> |
#<alt (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (pow eps 2) x))> |
#<alt (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (pow eps 2) x))> |
#<alt (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (pow eps 2) x))> |
#<alt (* (pow eps 2) x)> |
#<alt (* x (+ (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x) (pow eps 2)))> |
#<alt (* x (+ (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x) (pow eps 2)))> |
#<alt (* x (+ (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x) (pow eps 2)))> |
#<alt (* (pow eps 2) x)> |
#<alt (* -1 (* x (+ (* -1 (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x)) (* -1 (pow eps 2)))))> |
#<alt (* -1 (* x (+ (* -1 (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x)) (* -1 (pow eps 2)))))> |
#<alt (* -1 (* x (+ (* -1 (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x)) (* -1 (pow eps 2)))))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 (* x (* (+ 1 eps) (- (/ 1 eps) 1)))))> |
#<alt (+ 1 (* x (+ (* 1/2 (* (+ 1 eps) (- (/ 1 eps) 1))) (* 1/2 (* (pow eps 2) x)))))> |
#<alt (+ 1 (* x (+ (* 1/2 (* (+ 1 eps) (- (/ 1 eps) 1))) (* 1/2 (* (pow eps 2) x)))))> |
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))> |
#<alt (* (pow x 2) (+ (* 1/2 (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x)) (* 1/2 (pow eps 2))))> |
#<alt (* (pow x 2) (+ (* 1/2 (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x)) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ (* 1/2 (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x)) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2)))))> |
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))> |
#<alt (* (pow x 2) (+ (* 1/2 (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x)) (* 1/2 (pow eps 2))))> |
#<alt (* (pow x 2) (+ (* -1 (/ (- (* -1/2 (* (+ 1 eps) (- (/ 1 eps) 1))) (/ 1 x)) x)) (* 1/2 (pow eps 2))))> |
#<alt (* (pow x 2) (+ (* -1 (/ (- (* -1/2 (* (+ 1 eps) (- (/ 1 eps) 1))) (/ 1 x)) x)) (* 1/2 (pow eps 2))))> |
#<alt (* 1/2 (/ x eps))> |
#<alt (/ (+ eps (* 1/2 x)) eps)> |
#<alt (/ (+ (* 1/2 x) (* eps (+ 1 (* -1/2 (* eps x))))) eps)> |
#<alt (/ (+ (* 1/2 x) (* eps (+ 1 (* eps (+ (* -1/2 x) (* 1/2 (* eps (pow x 2)))))))) eps)> |
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))> |
#<alt (* (pow eps 2) (+ (* -1/2 (/ x eps)) (* 1/2 (pow x 2))))> |
#<alt (* (pow eps 2) (+ (* -1/2 (/ x eps)) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2)))))> |
#<alt (* (pow eps 2) (+ (* -1/2 (/ x eps)) (+ (* 1/2 (/ x (pow eps 3))) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))))> |
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))> |
#<alt (* (pow eps 2) (+ (* -1/2 (/ x eps)) (* 1/2 (pow x 2))))> |
#<alt (* (pow eps 2) (+ (* -1 (/ (- (* 1/2 x) (/ 1 eps)) eps)) (* 1/2 (pow x 2))))> |
#<alt (* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* 1/2 (/ x eps))) eps)) (* 1/2 x)) eps)) (* 1/2 (pow x 2))))> |
#<alt 1> |
#<alt (+ 1 eps)> |
#<alt (+ 1 eps)> |
#<alt (+ 1 eps)> |
#<alt eps> |
#<alt (* eps (+ 1 (/ 1 eps)))> |
#<alt (* eps (+ 1 (/ 1 eps)))> |
#<alt (* eps (+ 1 (/ 1 eps)))> |
#<alt eps> |
#<alt (* eps (+ 1 (/ 1 eps)))> |
#<alt (* eps (+ 1 (/ 1 eps)))> |
#<alt (* eps (+ 1 (/ 1 eps)))> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt (/ -1 eps)> |
#<alt (/ (- (pow eps 2) 1) eps)> |
#<alt (/ (- (pow eps 2) 1) eps)> |
#<alt (/ (- (pow eps 2) 1) eps)> |
#<alt eps> |
#<alt (* eps (- 1 (/ 1 (pow eps 2))))> |
#<alt (* eps (- 1 (/ 1 (pow eps 2))))> |
#<alt (* eps (- 1 (/ 1 (pow eps 2))))> |
#<alt eps> |
#<alt (* -1 (* eps (- (/ 1 (pow eps 2)) 1)))> |
#<alt (* -1 (* eps (- (/ 1 (pow eps 2)) 1)))> |
#<alt (* -1 (* eps (- (/ 1 (pow eps 2)) 1)))> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt (+ 1 (* 1/2 (* x (+ (* (+ 1 (/ 1 eps)) (- eps 1)) (/ (* (+ 1 (pow eps 3)) (- (/ 1 eps) 1)) (- (+ 1 (pow eps 2)) eps))))))> |
#<alt (+ 1 (* 1/2 (* x (+ (* (+ 1 (/ 1 eps)) (- eps 1)) (/ (* (+ 1 (pow eps 3)) (- (/ 1 eps) 1)) (- (+ 1 (pow eps 2)) eps))))))> |
#<alt (+ 1 (* 1/2 (* x (+ (* (+ 1 (/ 1 eps)) (- eps 1)) (/ (* (+ 1 (pow eps 3)) (- (/ 1 eps) 1)) (- (+ 1 (pow eps 2)) eps))))))> |
#<alt (* 1/2 (* x (+ (* (+ 1 (/ 1 eps)) (- eps 1)) (/ (* (+ 1 (pow eps 3)) (- (/ 1 eps) 1)) (- (+ 1 (pow eps 2)) eps)))))> |
#<alt (* x (+ (* 1/2 (+ (* (+ 1 (/ 1 eps)) (- eps 1)) (/ (* (+ 1 (pow eps 3)) (- (/ 1 eps) 1)) (- (+ 1 (pow eps 2)) eps)))) (/ 1 x)))> |
#<alt (* x (+ (* 1/2 (+ (* (+ 1 (/ 1 eps)) (- eps 1)) (/ (* (+ 1 (pow eps 3)) (- (/ 1 eps) 1)) (- (+ 1 (pow eps 2)) eps)))) (/ 1 x)))> |
#<alt (* x (+ (* 1/2 (+ (* (+ 1 (/ 1 eps)) (- eps 1)) (/ (* (+ 1 (pow eps 3)) (- (/ 1 eps) 1)) (- (+ 1 (pow eps 2)) eps)))) (/ 1 x)))> |
#<alt (* 1/2 (* x (+ (* (+ 1 (/ 1 eps)) (- eps 1)) (/ (* (+ 1 (pow eps 3)) (- (/ 1 eps) 1)) (- (+ 1 (pow eps 2)) eps)))))> |
#<alt (* -1 (* x (- (* -1/2 (+ (* (+ 1 (/ 1 eps)) (- eps 1)) (/ (* (+ 1 (pow eps 3)) (- (/ 1 eps) 1)) (- (+ 1 (pow eps 2)) eps)))) (/ 1 x))))> |
#<alt (* -1 (* x (- (* -1/2 (+ (* (+ 1 (/ 1 eps)) (- eps 1)) (/ (* (+ 1 (pow eps 3)) (- (/ 1 eps) 1)) (- (+ 1 (pow eps 2)) eps)))) (/ 1 x))))> |
#<alt (* -1 (* x (- (* -1/2 (+ (* (+ 1 (/ 1 eps)) (- eps 1)) (/ (* (+ 1 (pow eps 3)) (- (/ 1 eps) 1)) (- (+ 1 (pow eps 2)) eps)))) (/ 1 x))))> |
#<alt 1> |
#<alt (+ 1 eps)> |
#<alt (+ 1 eps)> |
#<alt (+ 1 eps)> |
#<alt eps> |
#<alt (* eps (+ 1 (/ 1 eps)))> |
#<alt (* eps (+ 1 (/ 1 eps)))> |
#<alt (* eps (+ 1 (/ 1 eps)))> |
#<alt eps> |
#<alt (* eps (+ 1 (/ 1 eps)))> |
#<alt (* eps (+ 1 (/ 1 eps)))> |
#<alt (* eps (+ 1 (/ 1 eps)))> |
#<alt (* -1 (* x (+ 1 eps)))> |
#<alt (* -1 (* x (+ 1 eps)))> |
#<alt (* -1 (* x (+ 1 eps)))> |
#<alt (* -1 (* x (+ 1 eps)))> |
#<alt (* -1 (* x (+ 1 eps)))> |
#<alt (* -1 (* x (+ 1 eps)))> |
#<alt (* -1 (* x (+ 1 eps)))> |
#<alt (* -1 (* x (+ 1 eps)))> |
#<alt (* -1 (* x (+ 1 eps)))> |
#<alt (* -1 (* x (+ 1 eps)))> |
#<alt (* -1 (* x (+ 1 eps)))> |
#<alt (* -1 (* x (+ 1 eps)))> |
#<alt (* -1 x)> |
#<alt (+ (* -1 x) (* -1 (* eps x)))> |
#<alt (+ (* -1 x) (* -1 (* eps x)))> |
#<alt (+ (* -1 x) (* -1 (* eps x)))> |
#<alt (* -1 (* eps x))> |
#<alt (* eps (+ (* -1 x) (* -1 (/ x eps))))> |
#<alt (* eps (+ (* -1 x) (* -1 (/ x eps))))> |
#<alt (* eps (+ (* -1 x) (* -1 (/ x eps))))> |
#<alt (* -1 (* eps x))> |
#<alt (* -1 (* eps (+ x (/ x eps))))> |
#<alt (* -1 (* eps (+ x (/ x eps))))> |
#<alt (* -1 (* eps (+ x (/ x eps))))> |
#<alt 1> |
#<alt (+ 1 (* -1 (* x (+ 1 eps))))> |
#<alt (+ 1 (* x (+ (* -1 (+ 1 eps)) (* 1/2 (* x (pow (+ 1 eps) 2))))))> |
#<alt (+ 1 (* x (+ (* -1 (+ 1 eps)) (* x (+ (* -1/6 (* x (pow (+ 1 eps) 3))) (* 1/2 (pow (+ 1 eps) 2)))))))> |
#<alt (exp (* -1 (* x (+ 1 eps))))> |
#<alt (exp (* -1 (* x (+ 1 eps))))> |
#<alt (exp (* -1 (* x (+ 1 eps))))> |
#<alt (exp (* -1 (* x (+ 1 eps))))> |
#<alt (exp (* -1 (* x (+ 1 eps))))> |
#<alt (exp (* -1 (* x (+ 1 eps))))> |
#<alt (exp (* -1 (* x (+ 1 eps))))> |
#<alt (exp (* -1 (* x (+ 1 eps))))> |
#<alt (exp (* -1 x))> |
#<alt (+ (exp (* -1 x)) (* -1 (* eps (* x (exp (* -1 x))))))> |
#<alt (+ (exp (* -1 x)) (* eps (+ (* -1 (* x (exp (* -1 x)))) (* 1/2 (* eps (* (pow x 2) (exp (* -1 x))))))))> |
#<alt (+ (exp (* -1 x)) (* eps (+ (* -1 (* x (exp (* -1 x)))) (* eps (+ (* -1/6 (* eps (* (pow x 3) (exp (* -1 x))))) (* 1/2 (* (pow x 2) (exp (* -1 x)))))))))> |
#<alt (exp (* -1 (* x (+ 1 eps))))> |
#<alt (exp (* -1 (* x (+ 1 eps))))> |
#<alt (exp (* -1 (* x (+ 1 eps))))> |
#<alt (exp (* -1 (* x (+ 1 eps))))> |
#<alt (exp (* x (- (* -1 eps) 1)))> |
#<alt (exp (* x (- (* -1 eps) 1)))> |
#<alt (exp (* x (- (* -1 eps) 1)))> |
#<alt (exp (* x (- (* -1 eps) 1)))> |
#<alt (* x (* (+ 1 eps) (- (/ 1 eps) 1)))> |
#<alt (* x (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (pow eps 2) x)))> |
#<alt (* x (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (pow eps 2) x)))> |
#<alt (* x (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (pow eps 2) x)))> |
#<alt (* (pow eps 2) (pow x 2))> |
#<alt (* (pow x 2) (+ (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x) (pow eps 2)))> |
#<alt (* (pow x 2) (+ (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x) (pow eps 2)))> |
#<alt (* (pow x 2) (+ (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x) (pow eps 2)))> |
#<alt (* (pow eps 2) (pow x 2))> |
#<alt (* (pow x 2) (+ (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x) (pow eps 2)))> |
#<alt (* (pow x 2) (+ (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x) (pow eps 2)))> |
#<alt (* (pow x 2) (+ (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x) (pow eps 2)))> |
#<alt (/ x eps)> |
#<alt (/ (+ x (* -1 (* (pow eps 2) x))) eps)> |
#<alt (/ (+ x (* (pow eps 2) (+ (* -1 x) (* eps (pow x 2))))) eps)> |
#<alt (/ (+ x (* (pow eps 2) (+ (* -1 x) (* eps (pow x 2))))) eps)> |
#<alt (* (pow eps 2) (pow x 2))> |
#<alt (* (pow eps 2) (+ (* -1 (/ x eps)) (pow x 2)))> |
#<alt (* (pow eps 2) (+ (* -1 (/ x eps)) (+ (/ x (pow eps 3)) (pow x 2))))> |
#<alt (* (pow eps 2) (+ (* -1 (/ x eps)) (+ (/ x (pow eps 3)) (pow x 2))))> |
#<alt (* (pow eps 2) (pow x 2))> |
#<alt (* (pow eps 2) (+ (* -1 (/ x eps)) (pow x 2)))> |
#<alt (* (pow eps 2) (+ (* -1 (/ (+ x (* -1 (/ x (pow eps 2)))) eps)) (pow x 2)))> |
#<alt (* (pow eps 2) (+ (* -1 (/ (+ x (* -1 (/ x (pow eps 2)))) eps)) (pow x 2)))> |
#<alt 1> |
#<alt (+ 1 (pow eps 3))> |
#<alt (+ 1 (pow eps 3))> |
#<alt (+ 1 (pow eps 3))> |
#<alt (pow eps 3)> |
#<alt (* (pow eps 3) (+ 1 (/ 1 (pow eps 3))))> |
#<alt (* (pow eps 3) (+ 1 (/ 1 (pow eps 3))))> |
#<alt (* (pow eps 3) (+ 1 (/ 1 (pow eps 3))))> |
#<alt (pow eps 3)> |
#<alt (* (pow eps 3) (+ 1 (/ 1 (pow eps 3))))> |
#<alt (* (pow eps 3) (+ 1 (/ 1 (pow eps 3))))> |
#<alt (* (pow eps 3) (+ 1 (/ 1 (pow eps 3))))> |
102 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | -inf | (+ (* 1/2 (* x (+ (* x (* eps eps)) 0))) 1) |
| 1.0ms | eps | @ | inf | (+ (* (/ (+ (* eps (* eps eps)) 1) (+ (* eps eps) (- 1 eps))) (+ -1 (/ 1 eps))) (* (+ 1 (/ 1 eps)) (+ -1 eps))) |
| 1.0ms | x | @ | 0 | (+ (* (+ (* (/ (+ (* eps (* eps eps)) 1) (+ (* eps eps) (- 1 eps))) (+ -1 (/ 1 eps))) (* (+ 1 (/ 1 eps)) (+ -1 eps))) (* 1/2 x)) 1) |
| 1.0ms | eps | @ | 0 | (+ (* (/ (+ (* eps (* eps eps)) 1) (+ (* eps eps) (- 1 eps))) (+ -1 (/ 1 eps))) (* (+ 1 (/ 1 eps)) (+ -1 eps))) |
| 1.0ms | eps | @ | -inf | (+ (* (/ (+ (* eps (* eps eps)) 1) (+ (* eps eps) (- 1 eps))) (+ -1 (/ 1 eps))) (* (+ 1 (/ 1 eps)) (+ -1 eps))) |
| 1× | batch-egg-rewrite |
| 7 660× | accelerator-lowering-fma.f32 |
| 7 660× | accelerator-lowering-fma.f64 |
| 5 024× | /-lowering-/.f32 |
| 5 024× | /-lowering-/.f64 |
| 4 130× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 215 |
| 1 | 307 | 195 |
| 2 | 3217 | 191 |
| 0 | 9384 | 182 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (+ (exp (* x eps)) (exp (* x (- -1 eps))))) |
(+ (exp (* x eps)) (exp (* x (- -1 eps)))) |
(exp (* x eps)) |
(* x eps) |
(+ (* x (* x -1/2)) 1) |
(* x -1/2) |
(+ (* x (* eps eps)) 0) |
(+ (* 1/2 (* x (+ (* x (* eps eps)) 0))) 1) |
(* x (+ (* x (* eps eps)) 0)) |
(* eps eps) |
(+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (* x (* eps eps)) 0)) |
(+ (* 1/2 (* x (+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (* x (* eps eps)) 0)))) 1) |
(+ eps 1) |
(+ (* (/ (+ (* eps (* eps eps)) 1) (+ (* eps eps) (- 1 eps))) (+ -1 (/ 1 eps))) (* (+ 1 (/ 1 eps)) (+ -1 eps))) |
(* (+ 1 (/ 1 eps)) (+ -1 eps)) |
(+ (* (+ (* (/ (+ (* eps (* eps eps)) 1) (+ (* eps eps) (- 1 eps))) (+ -1 (/ 1 eps))) (* (+ 1 (/ 1 eps)) (+ -1 eps))) (* 1/2 x)) 1) |
(/ (+ (* eps (* eps eps)) 1) (+ (* eps eps) (- 1 eps))) |
(* x (- -1 eps)) |
(exp (* x (- -1 eps))) |
(* x (+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (* x (* eps eps)) 0))) |
(+ (* eps (* eps eps)) 1) |
| Outputs |
|---|
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))) (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))) |
(fma.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps)) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) |
(fma.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps)))) |
(fma.f64 (exp.f64 (*.f64 x eps)) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) |
(fma.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps)))) |
(/.f64 (fma.f64 (exp.f64 (*.f64 (*.f64 x eps) #s(literal 3 binary64))) #s(literal 1/8 binary64) (*.f64 (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64))) #s(literal 1/8 binary64))) (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 x eps) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64))))) (-.f64 (+.f64 (exp.f64 (*.f64 x (+.f64 eps eps))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64)))) (exp.f64 (*.f64 x (+.f64 eps (-.f64 #s(literal -1 binary64) eps)))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (*.f64 x (+.f64 eps eps))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))))) (-.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) |
(/.f64 (*.f64 (+.f64 (exp.f64 (*.f64 (*.f64 x eps) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64)))) #s(literal 1/2 binary64)) (-.f64 (+.f64 (exp.f64 (*.f64 x (+.f64 eps eps))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64)))) (exp.f64 (*.f64 x (+.f64 eps (-.f64 #s(literal -1 binary64) eps)))))) |
(/.f64 (*.f64 (-.f64 (exp.f64 (*.f64 x (+.f64 eps eps))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) |
(/.f64 (neg.f64 (fma.f64 (exp.f64 (*.f64 (*.f64 x eps) #s(literal 3 binary64))) #s(literal 1/8 binary64) (*.f64 (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64))) #s(literal 1/8 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 x eps) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64)))))) (neg.f64 (-.f64 (+.f64 (exp.f64 (*.f64 x (+.f64 eps eps))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64)))) (exp.f64 (*.f64 x (+.f64 eps (-.f64 #s(literal -1 binary64) eps))))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (*.f64 x (+.f64 eps eps))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64)))))) (neg.f64 (-.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (exp.f64 (*.f64 (*.f64 x eps) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64)))) #s(literal 1/2 binary64))) (neg.f64 (-.f64 (+.f64 (exp.f64 (*.f64 x (+.f64 eps eps))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64)))) (exp.f64 (*.f64 x (+.f64 eps (-.f64 #s(literal -1 binary64) eps))))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (exp.f64 (*.f64 x (+.f64 eps eps))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) (neg.f64 (-.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) |
(*.f64 (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) #s(literal 1/2 binary64)) |
(+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) |
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps))) |
(-.f64 (/.f64 (exp.f64 (*.f64 x (+.f64 eps eps))) (-.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) (/.f64 (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))) |
(-.f64 (/.f64 (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps)))) (/.f64 (exp.f64 (*.f64 x (+.f64 eps eps))) (-.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps))))) |
(fma.f64 (exp.f64 (*.f64 x #s(literal -1 binary64))) (exp.f64 (*.f64 x (-.f64 #s(literal 0 binary64) eps))) (exp.f64 (*.f64 x eps))) |
(fma.f64 (exp.f64 (*.f64 x (-.f64 #s(literal 0 binary64) eps))) (exp.f64 (*.f64 x #s(literal -1 binary64))) (exp.f64 (*.f64 x eps))) |
(fma.f64 (exp.f64 (*.f64 x (/.f64 (-.f64 #s(literal -1 binary64) eps) #s(literal 2 binary64)))) (exp.f64 (*.f64 x (/.f64 (-.f64 #s(literal -1 binary64) eps) #s(literal 2 binary64)))) (exp.f64 (*.f64 x eps))) |
(fma.f64 (exp.f64 (*.f64 x (/.f64 eps #s(literal 2 binary64)))) (exp.f64 (*.f64 x (/.f64 eps #s(literal 2 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) |
(fma.f64 (exp.f64 (*.f64 #s(literal -1 binary64) x)) (exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) eps) x)) (exp.f64 (*.f64 x eps))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (+.f64 (exp.f64 (*.f64 x (+.f64 eps eps))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64)))) (exp.f64 (*.f64 x (+.f64 eps (-.f64 #s(literal -1 binary64) eps))))) (+.f64 (exp.f64 (*.f64 (*.f64 x eps) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (-.f64 (exp.f64 (*.f64 x (+.f64 eps eps))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (exp.f64 (*.f64 x (+.f64 eps eps))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64)))) (exp.f64 (*.f64 x (+.f64 eps (-.f64 #s(literal -1 binary64) eps))))) (+.f64 (exp.f64 (*.f64 (*.f64 x eps) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64)))))) |
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(/.f64 (neg.f64 (fma.f64 (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))) (*.f64 (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))))) (*.f64 (fma.f64 (*.f64 eps eps) (*.f64 x x) #s(literal 0 binary64)) (*.f64 (fma.f64 (*.f64 eps eps) (*.f64 x x) #s(literal 0 binary64)) (fma.f64 (*.f64 eps eps) (*.f64 x x) #s(literal 0 binary64)))))) (neg.f64 (fma.f64 (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))) (-.f64 (*.f64 (fma.f64 (*.f64 eps eps) (*.f64 x x) #s(literal 0 binary64)) (fma.f64 (*.f64 eps eps) (*.f64 x x) #s(literal 0 binary64))) (*.f64 (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))) (fma.f64 (*.f64 eps eps) (*.f64 x x) #s(literal 0 binary64))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))))) (*.f64 (fma.f64 (*.f64 eps eps) (*.f64 x x) #s(literal 0 binary64)) (fma.f64 (*.f64 eps eps) (*.f64 x x) #s(literal 0 binary64))))) (neg.f64 (-.f64 (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))) (fma.f64 (*.f64 eps eps) (*.f64 x x) #s(literal 0 binary64))))) |
(/.f64 (neg.f64 (*.f64 x (fma.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (*.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (+.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))) (fma.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))) (*.f64 x (*.f64 x x)) #s(literal 0 binary64))))) (neg.f64 (fma.f64 (fma.f64 x (*.f64 eps eps) #s(literal 0 binary64)) (-.f64 (fma.f64 x (*.f64 eps eps) #s(literal 0 binary64)) (+.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))) (*.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (+.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))))))) |
(/.f64 (neg.f64 (*.f64 x (*.f64 (+.f64 (fma.f64 x (*.f64 eps eps) (-.f64 #s(literal -1 binary64) eps)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (+.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 x (*.f64 eps eps) #s(literal 0 binary64))))))) (neg.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 x (*.f64 eps eps) #s(literal 0 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (*.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (+.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))) (fma.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))) (*.f64 x (*.f64 x x)) #s(literal 0 binary64))) x)) (neg.f64 (fma.f64 (fma.f64 x (*.f64 eps eps) #s(literal 0 binary64)) (-.f64 (fma.f64 x (*.f64 eps eps) #s(literal 0 binary64)) (+.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))) (*.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (+.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 (fma.f64 x (*.f64 eps eps) (-.f64 #s(literal -1 binary64) eps)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (+.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 x (*.f64 eps eps) #s(literal 0 binary64))))) x)) (neg.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 x (*.f64 eps eps) #s(literal 0 binary64)))))) |
(*.f64 x (+.f64 (fma.f64 x (*.f64 eps eps) (-.f64 #s(literal -1 binary64) eps)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))) |
(*.f64 (+.f64 (fma.f64 x (*.f64 eps eps) (-.f64 #s(literal -1 binary64) eps)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) x) |
(+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps))) |
(+.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 1 binary64)) |
(-.f64 (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))) (fma.f64 eps (*.f64 eps eps) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 eps eps) #s(literal -1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps)))) (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))) (-.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps))))) |
(fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 eps eps) eps #s(literal 1 binary64)) |
(fma.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 eps #s(literal 3/2 binary64)) (pow.f64 eps #s(literal 3/2 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps eps))) #s(literal 1 binary64)) (*.f64 eps (*.f64 eps eps))) (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))) #s(literal 1 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 eps (*.f64 eps eps) #s(literal -1 binary64)) (fma.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps eps))) #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps eps))) #s(literal 1 binary64)) (*.f64 eps (*.f64 eps eps))) (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 eps (*.f64 eps eps) #s(literal -1 binary64)) (fma.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps eps))) #s(literal -1 binary64)))) |
(/.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))) #s(literal 1 binary64)) (-.f64 (fma.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps eps))) #s(literal 1 binary64)) (*.f64 eps (*.f64 eps eps)))) |
(/.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))) (*.f64 eps (*.f64 eps eps))))) |
(/.f64 (fma.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps eps))) #s(literal -1 binary64)) (fma.f64 eps (*.f64 eps eps) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))) #s(literal 1 binary64))) (neg.f64 (-.f64 (fma.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps eps))) #s(literal 1 binary64)) (*.f64 eps (*.f64 eps eps))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))) (*.f64 eps (*.f64 eps eps)))))) |
(/.f64 (neg.f64 (fma.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps eps))) #s(literal -1 binary64))) (neg.f64 (fma.f64 eps (*.f64 eps eps) #s(literal -1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps)))) (-.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps eps))) #s(literal 1 binary64)) (*.f64 eps (*.f64 eps eps)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps eps))) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 eps (*.f64 eps eps) #s(literal -1 binary64))))) |
(pow.f64 (/.f64 (-.f64 (fma.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps eps))) #s(literal 1 binary64)) (*.f64 eps (*.f64 eps eps))) (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 eps (*.f64 eps eps) #s(literal -1 binary64)) (fma.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps eps))) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps eps))) #s(literal 1 binary64)) (*.f64 eps (*.f64 eps eps))))) |
(*.f64 (fma.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps eps))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 eps eps) #s(literal -1 binary64)))) |
| 1× | egg-herbie |
| 17 148× | accelerator-lowering-fma.f32 |
| 17 148× | accelerator-lowering-fma.f64 |
| 5 498× | +-lowering-+.f64 |
| 5 498× | +-lowering-+.f32 |
| 4 192× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 327 | 3712 |
| 1 | 1117 | 3570 |
| 2 | 3452 | 3472 |
| 0 | 8126 | 3280 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (* 1/2 (* x (+ eps (* -1 (+ 1 eps)))))) |
(+ 1 (* x (+ (* 1/2 (* x (+ (* 1/2 (pow eps 2)) (* 1/2 (pow (+ 1 eps) 2))))) (* 1/2 (+ eps (* -1 (+ 1 eps))))))) |
(+ 1 (* x (+ (* 1/2 (+ eps (* -1 (+ 1 eps)))) (* x (+ (* 1/2 (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow eps 3))))) (* 1/2 (+ (* 1/2 (pow eps 2)) (* 1/2 (pow (+ 1 eps) 2))))))))) |
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))) |
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))) |
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))) |
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))) |
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))) |
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))) |
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))) |
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))) |
(* 1/2 (+ 1 (exp (* -1 x)))) |
(+ (* 1/2 (* eps (+ x (* -1 (* x (exp (* -1 x))))))) (* 1/2 (+ 1 (exp (* -1 x))))) |
(+ (* 1/2 (+ 1 (exp (* -1 x)))) (* eps (+ (* 1/2 (* eps (+ (* 1/2 (* (pow x 2) (exp (* -1 x)))) (* 1/2 (pow x 2))))) (* 1/2 (+ x (* -1 (* x (exp (* -1 x))))))))) |
(+ (* 1/2 (+ 1 (exp (* -1 x)))) (* eps (+ (* 1/2 (+ x (* -1 (* x (exp (* -1 x)))))) (* eps (+ (* 1/2 (* eps (+ (* -1/6 (* (pow x 3) (exp (* -1 x)))) (* 1/6 (pow x 3))))) (* 1/2 (+ (* 1/2 (* (pow x 2) (exp (* -1 x)))) (* 1/2 (pow x 2))))))))) |
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))) |
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))) |
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))) |
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))) |
(* 1/2 (+ (exp (* eps x)) (exp (* x (- (* -1 eps) 1))))) |
(* 1/2 (+ (exp (* eps x)) (exp (* x (- (* -1 eps) 1))))) |
(* 1/2 (+ (exp (* eps x)) (exp (* x (- (* -1 eps) 1))))) |
(* 1/2 (+ (exp (* eps x)) (exp (* x (- (* -1 eps) 1))))) |
2 |
(+ 2 (* x (+ eps (* -1 (+ 1 eps))))) |
(+ 2 (* x (+ eps (+ (* -1 (+ 1 eps)) (* x (+ (* 1/2 (pow eps 2)) (* 1/2 (pow (+ 1 eps) 2)))))))) |
(+ 2 (* x (+ eps (+ (* -1 (+ 1 eps)) (* x (+ (* 1/2 (pow eps 2)) (+ (* 1/2 (pow (+ 1 eps) 2)) (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow eps 3))))))))))) |
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))) |
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))) |
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))) |
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))) |
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))) |
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))) |
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))) |
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))) |
(+ 1 (exp (* -1 x))) |
(+ 1 (+ (exp (* -1 x)) (* eps (+ x (* -1 (* x (exp (* -1 x)))))))) |
(+ 1 (+ (exp (* -1 x)) (* eps (+ x (+ (* -1 (* x (exp (* -1 x)))) (* eps (+ (* 1/2 (* (pow x 2) (exp (* -1 x)))) (* 1/2 (pow x 2))))))))) |
(+ 1 (+ (exp (* -1 x)) (* eps (+ x (+ (* -1 (* x (exp (* -1 x)))) (* eps (+ (* 1/2 (* (pow x 2) (exp (* -1 x)))) (+ (* 1/2 (pow x 2)) (* eps (+ (* -1/6 (* (pow x 3) (exp (* -1 x)))) (* 1/6 (pow x 3)))))))))))) |
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))) |
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))) |
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))) |
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))) |
(+ (exp (* eps x)) (exp (* x (- (* -1 eps) 1)))) |
(+ (exp (* eps x)) (exp (* x (- (* -1 eps) 1)))) |
(+ (exp (* eps x)) (exp (* x (- (* -1 eps) 1)))) |
(+ (exp (* eps x)) (exp (* x (- (* -1 eps) 1)))) |
1 |
(+ 1 (* eps x)) |
(+ 1 (* x (+ eps (* 1/2 (* (pow eps 2) x))))) |
(+ 1 (* x (+ eps (* x (+ (* 1/6 (* (pow eps 3) x)) (* 1/2 (pow eps 2))))))) |
(exp (* eps x)) |
(exp (* eps x)) |
(exp (* eps x)) |
(exp (* eps x)) |
(exp (* eps x)) |
(exp (* eps x)) |
(exp (* eps x)) |
(exp (* eps x)) |
1 |
(+ 1 (* eps x)) |
(+ 1 (* eps (+ x (* 1/2 (* eps (pow x 2)))))) |
(+ 1 (* eps (+ x (* eps (+ (* 1/6 (* eps (pow x 3))) (* 1/2 (pow x 2))))))) |
(exp (* eps x)) |
(exp (* eps x)) |
(exp (* eps x)) |
(exp (* eps x)) |
(exp (* eps x)) |
(exp (* eps x)) |
(exp (* eps x)) |
(exp (* eps x)) |
(* eps x) |
(* eps x) |
(* eps x) |
(* eps x) |
(* eps x) |
(* eps x) |
(* eps x) |
(* eps x) |
(* eps x) |
(* eps x) |
(* eps x) |
(* eps x) |
(* eps x) |
(* eps x) |
(* eps x) |
(* eps x) |
(* eps x) |
(* eps x) |
(* eps x) |
(* eps x) |
(* eps x) |
(* eps x) |
(* eps x) |
(* eps x) |
1 |
(+ 1 (* -1/2 (pow x 2))) |
(+ 1 (* -1/2 (pow x 2))) |
(+ 1 (* -1/2 (pow x 2))) |
(* -1/2 (pow x 2)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2)) |
(* -1/2 (pow x 2)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2)) |
(* -1/2 x) |
(* -1/2 x) |
(* -1/2 x) |
(* -1/2 x) |
(* -1/2 x) |
(* -1/2 x) |
(* -1/2 x) |
(* -1/2 x) |
(* -1/2 x) |
(* -1/2 x) |
(* -1/2 x) |
(* -1/2 x) |
(* (pow eps 2) x) |
(* (pow eps 2) x) |
(* (pow eps 2) x) |
(* (pow eps 2) x) |
(* (pow eps 2) x) |
(* (pow eps 2) x) |
(* (pow eps 2) x) |
(* (pow eps 2) x) |
(* (pow eps 2) x) |
(* (pow eps 2) x) |
(* (pow eps 2) x) |
(* (pow eps 2) x) |
(* (pow eps 2) x) |
(* (pow eps 2) x) |
(* (pow eps 2) x) |
(* (pow eps 2) x) |
(* (pow eps 2) x) |
(* (pow eps 2) x) |
(* (pow eps 2) x) |
(* (pow eps 2) x) |
(* (pow eps 2) x) |
(* (pow eps 2) x) |
(* (pow eps 2) x) |
(* (pow eps 2) x) |
1 |
(+ 1 (* 1/2 (* (pow eps 2) (pow x 2)))) |
(+ 1 (* 1/2 (* (pow eps 2) (pow x 2)))) |
(+ 1 (* 1/2 (* (pow eps 2) (pow x 2)))) |
(* 1/2 (* (pow eps 2) (pow x 2))) |
(* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2)))) |
(* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2)))) |
(* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2)))) |
(* 1/2 (* (pow eps 2) (pow x 2))) |
(* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2)))) |
(* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2)))) |
(* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2)))) |
1 |
(+ 1 (* 1/2 (* (pow eps 2) (pow x 2)))) |
(+ 1 (* 1/2 (* (pow eps 2) (pow x 2)))) |
(+ 1 (* 1/2 (* (pow eps 2) (pow x 2)))) |
(* 1/2 (* (pow eps 2) (pow x 2))) |
(* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2)))) |
(* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2)))) |
(* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2)))) |
(* 1/2 (* (pow eps 2) (pow x 2))) |
(* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2)))) |
(* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2)))) |
(* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2)))) |
(* (pow eps 2) (pow x 2)) |
(* (pow eps 2) (pow x 2)) |
(* (pow eps 2) (pow x 2)) |
(* (pow eps 2) (pow x 2)) |
(* (pow eps 2) (pow x 2)) |
(* (pow eps 2) (pow x 2)) |
(* (pow eps 2) (pow x 2)) |
(* (pow eps 2) (pow x 2)) |
(* (pow eps 2) (pow x 2)) |
(* (pow eps 2) (pow x 2)) |
(* (pow eps 2) (pow x 2)) |
(* (pow eps 2) (pow x 2)) |
(* (pow eps 2) (pow x 2)) |
(* (pow eps 2) (pow x 2)) |
(* (pow eps 2) (pow x 2)) |
(* (pow eps 2) (pow x 2)) |
(* (pow eps 2) (pow x 2)) |
(* (pow eps 2) (pow x 2)) |
(* (pow eps 2) (pow x 2)) |
(* (pow eps 2) (pow x 2)) |
(* (pow eps 2) (pow x 2)) |
(* (pow eps 2) (pow x 2)) |
(* (pow eps 2) (pow x 2)) |
(* (pow eps 2) (pow x 2)) |
(pow eps 2) |
(pow eps 2) |
(pow eps 2) |
(pow eps 2) |
(pow eps 2) |
(pow eps 2) |
(pow eps 2) |
(pow eps 2) |
(pow eps 2) |
(pow eps 2) |
(pow eps 2) |
(pow eps 2) |
(/ 1 eps) |
(/ (+ 1 (* -1 (pow eps 2))) eps) |
(/ (+ 1 (* (pow eps 2) (- (* eps x) 1))) eps) |
(/ (+ 1 (* (pow eps 2) (- (* eps x) 1))) eps) |
(* (pow eps 2) x) |
(* (pow eps 2) (- x (/ 1 eps))) |
(* (pow eps 2) (- (+ x (/ 1 (pow eps 3))) (/ 1 eps))) |
(* (pow eps 2) (- (+ x (/ 1 (pow eps 3))) (/ 1 eps))) |
(* (pow eps 2) x) |
(* (pow eps 2) (- x (/ 1 eps))) |
(* (pow eps 2) (+ x (* -1 (/ (- 1 (/ 1 (pow eps 2))) eps)))) |
(* (pow eps 2) (+ x (* -1 (/ (- 1 (/ 1 (pow eps 2))) eps)))) |
(* (+ 1 eps) (- (/ 1 eps) 1)) |
(+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (pow eps 2) x)) |
(+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (pow eps 2) x)) |
(+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (pow eps 2) x)) |
(* (pow eps 2) x) |
(* x (+ (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x) (pow eps 2))) |
(* x (+ (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x) (pow eps 2))) |
(* x (+ (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x) (pow eps 2))) |
(* (pow eps 2) x) |
(* -1 (* x (+ (* -1 (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x)) (* -1 (pow eps 2))))) |
(* -1 (* x (+ (* -1 (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x)) (* -1 (pow eps 2))))) |
(* -1 (* x (+ (* -1 (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x)) (* -1 (pow eps 2))))) |
1 |
(+ 1 (* 1/2 (* x (* (+ 1 eps) (- (/ 1 eps) 1))))) |
(+ 1 (* x (+ (* 1/2 (* (+ 1 eps) (- (/ 1 eps) 1))) (* 1/2 (* (pow eps 2) x))))) |
(+ 1 (* x (+ (* 1/2 (* (+ 1 eps) (- (/ 1 eps) 1))) (* 1/2 (* (pow eps 2) x))))) |
(* 1/2 (* (pow eps 2) (pow x 2))) |
(* (pow x 2) (+ (* 1/2 (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x)) (* 1/2 (pow eps 2)))) |
(* (pow x 2) (+ (* 1/2 (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x)) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2))))) |
(* (pow x 2) (+ (* 1/2 (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x)) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2))))) |
(* 1/2 (* (pow eps 2) (pow x 2))) |
(* (pow x 2) (+ (* 1/2 (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x)) (* 1/2 (pow eps 2)))) |
(* (pow x 2) (+ (* -1 (/ (- (* -1/2 (* (+ 1 eps) (- (/ 1 eps) 1))) (/ 1 x)) x)) (* 1/2 (pow eps 2)))) |
(* (pow x 2) (+ (* -1 (/ (- (* -1/2 (* (+ 1 eps) (- (/ 1 eps) 1))) (/ 1 x)) x)) (* 1/2 (pow eps 2)))) |
(* 1/2 (/ x eps)) |
(/ (+ eps (* 1/2 x)) eps) |
(/ (+ (* 1/2 x) (* eps (+ 1 (* -1/2 (* eps x))))) eps) |
(/ (+ (* 1/2 x) (* eps (+ 1 (* eps (+ (* -1/2 x) (* 1/2 (* eps (pow x 2)))))))) eps) |
(* 1/2 (* (pow eps 2) (pow x 2))) |
(* (pow eps 2) (+ (* -1/2 (/ x eps)) (* 1/2 (pow x 2)))) |
(* (pow eps 2) (+ (* -1/2 (/ x eps)) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))) |
(* (pow eps 2) (+ (* -1/2 (/ x eps)) (+ (* 1/2 (/ x (pow eps 3))) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2)))))) |
(* 1/2 (* (pow eps 2) (pow x 2))) |
(* (pow eps 2) (+ (* -1/2 (/ x eps)) (* 1/2 (pow x 2)))) |
(* (pow eps 2) (+ (* -1 (/ (- (* 1/2 x) (/ 1 eps)) eps)) (* 1/2 (pow x 2)))) |
(* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* 1/2 (/ x eps))) eps)) (* 1/2 x)) eps)) (* 1/2 (pow x 2)))) |
1 |
(+ 1 eps) |
(+ 1 eps) |
(+ 1 eps) |
eps |
(* eps (+ 1 (/ 1 eps))) |
(* eps (+ 1 (/ 1 eps))) |
(* eps (+ 1 (/ 1 eps))) |
eps |
(* eps (+ 1 (/ 1 eps))) |
(* eps (+ 1 (/ 1 eps))) |
(* eps (+ 1 (/ 1 eps))) |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
(/ -1 eps) |
(/ (- (pow eps 2) 1) eps) |
(/ (- (pow eps 2) 1) eps) |
(/ (- (pow eps 2) 1) eps) |
eps |
(* eps (- 1 (/ 1 (pow eps 2)))) |
(* eps (- 1 (/ 1 (pow eps 2)))) |
(* eps (- 1 (/ 1 (pow eps 2)))) |
eps |
(* -1 (* eps (- (/ 1 (pow eps 2)) 1))) |
(* -1 (* eps (- (/ 1 (pow eps 2)) 1))) |
(* -1 (* eps (- (/ 1 (pow eps 2)) 1))) |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
(+ 1 (* 1/2 (* x (+ (* (+ 1 (/ 1 eps)) (- eps 1)) (/ (* (+ 1 (pow eps 3)) (- (/ 1 eps) 1)) (- (+ 1 (pow eps 2)) eps)))))) |
(+ 1 (* 1/2 (* x (+ (* (+ 1 (/ 1 eps)) (- eps 1)) (/ (* (+ 1 (pow eps 3)) (- (/ 1 eps) 1)) (- (+ 1 (pow eps 2)) eps)))))) |
(+ 1 (* 1/2 (* x (+ (* (+ 1 (/ 1 eps)) (- eps 1)) (/ (* (+ 1 (pow eps 3)) (- (/ 1 eps) 1)) (- (+ 1 (pow eps 2)) eps)))))) |
(* 1/2 (* x (+ (* (+ 1 (/ 1 eps)) (- eps 1)) (/ (* (+ 1 (pow eps 3)) (- (/ 1 eps) 1)) (- (+ 1 (pow eps 2)) eps))))) |
(* x (+ (* 1/2 (+ (* (+ 1 (/ 1 eps)) (- eps 1)) (/ (* (+ 1 (pow eps 3)) (- (/ 1 eps) 1)) (- (+ 1 (pow eps 2)) eps)))) (/ 1 x))) |
(* x (+ (* 1/2 (+ (* (+ 1 (/ 1 eps)) (- eps 1)) (/ (* (+ 1 (pow eps 3)) (- (/ 1 eps) 1)) (- (+ 1 (pow eps 2)) eps)))) (/ 1 x))) |
(* x (+ (* 1/2 (+ (* (+ 1 (/ 1 eps)) (- eps 1)) (/ (* (+ 1 (pow eps 3)) (- (/ 1 eps) 1)) (- (+ 1 (pow eps 2)) eps)))) (/ 1 x))) |
(* 1/2 (* x (+ (* (+ 1 (/ 1 eps)) (- eps 1)) (/ (* (+ 1 (pow eps 3)) (- (/ 1 eps) 1)) (- (+ 1 (pow eps 2)) eps))))) |
(* -1 (* x (- (* -1/2 (+ (* (+ 1 (/ 1 eps)) (- eps 1)) (/ (* (+ 1 (pow eps 3)) (- (/ 1 eps) 1)) (- (+ 1 (pow eps 2)) eps)))) (/ 1 x)))) |
(* -1 (* x (- (* -1/2 (+ (* (+ 1 (/ 1 eps)) (- eps 1)) (/ (* (+ 1 (pow eps 3)) (- (/ 1 eps) 1)) (- (+ 1 (pow eps 2)) eps)))) (/ 1 x)))) |
(* -1 (* x (- (* -1/2 (+ (* (+ 1 (/ 1 eps)) (- eps 1)) (/ (* (+ 1 (pow eps 3)) (- (/ 1 eps) 1)) (- (+ 1 (pow eps 2)) eps)))) (/ 1 x)))) |
1 |
(+ 1 eps) |
(+ 1 eps) |
(+ 1 eps) |
eps |
(* eps (+ 1 (/ 1 eps))) |
(* eps (+ 1 (/ 1 eps))) |
(* eps (+ 1 (/ 1 eps))) |
eps |
(* eps (+ 1 (/ 1 eps))) |
(* eps (+ 1 (/ 1 eps))) |
(* eps (+ 1 (/ 1 eps))) |
(* -1 (* x (+ 1 eps))) |
(* -1 (* x (+ 1 eps))) |
(* -1 (* x (+ 1 eps))) |
(* -1 (* x (+ 1 eps))) |
(* -1 (* x (+ 1 eps))) |
(* -1 (* x (+ 1 eps))) |
(* -1 (* x (+ 1 eps))) |
(* -1 (* x (+ 1 eps))) |
(* -1 (* x (+ 1 eps))) |
(* -1 (* x (+ 1 eps))) |
(* -1 (* x (+ 1 eps))) |
(* -1 (* x (+ 1 eps))) |
(* -1 x) |
(+ (* -1 x) (* -1 (* eps x))) |
(+ (* -1 x) (* -1 (* eps x))) |
(+ (* -1 x) (* -1 (* eps x))) |
(* -1 (* eps x)) |
(* eps (+ (* -1 x) (* -1 (/ x eps)))) |
(* eps (+ (* -1 x) (* -1 (/ x eps)))) |
(* eps (+ (* -1 x) (* -1 (/ x eps)))) |
(* -1 (* eps x)) |
(* -1 (* eps (+ x (/ x eps)))) |
(* -1 (* eps (+ x (/ x eps)))) |
(* -1 (* eps (+ x (/ x eps)))) |
1 |
(+ 1 (* -1 (* x (+ 1 eps)))) |
(+ 1 (* x (+ (* -1 (+ 1 eps)) (* 1/2 (* x (pow (+ 1 eps) 2)))))) |
(+ 1 (* x (+ (* -1 (+ 1 eps)) (* x (+ (* -1/6 (* x (pow (+ 1 eps) 3))) (* 1/2 (pow (+ 1 eps) 2))))))) |
(exp (* -1 (* x (+ 1 eps)))) |
(exp (* -1 (* x (+ 1 eps)))) |
(exp (* -1 (* x (+ 1 eps)))) |
(exp (* -1 (* x (+ 1 eps)))) |
(exp (* -1 (* x (+ 1 eps)))) |
(exp (* -1 (* x (+ 1 eps)))) |
(exp (* -1 (* x (+ 1 eps)))) |
(exp (* -1 (* x (+ 1 eps)))) |
(exp (* -1 x)) |
(+ (exp (* -1 x)) (* -1 (* eps (* x (exp (* -1 x)))))) |
(+ (exp (* -1 x)) (* eps (+ (* -1 (* x (exp (* -1 x)))) (* 1/2 (* eps (* (pow x 2) (exp (* -1 x)))))))) |
(+ (exp (* -1 x)) (* eps (+ (* -1 (* x (exp (* -1 x)))) (* eps (+ (* -1/6 (* eps (* (pow x 3) (exp (* -1 x))))) (* 1/2 (* (pow x 2) (exp (* -1 x))))))))) |
(exp (* -1 (* x (+ 1 eps)))) |
(exp (* -1 (* x (+ 1 eps)))) |
(exp (* -1 (* x (+ 1 eps)))) |
(exp (* -1 (* x (+ 1 eps)))) |
(exp (* x (- (* -1 eps) 1))) |
(exp (* x (- (* -1 eps) 1))) |
(exp (* x (- (* -1 eps) 1))) |
(exp (* x (- (* -1 eps) 1))) |
(* x (* (+ 1 eps) (- (/ 1 eps) 1))) |
(* x (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (pow eps 2) x))) |
(* x (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (pow eps 2) x))) |
(* x (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (pow eps 2) x))) |
(* (pow eps 2) (pow x 2)) |
(* (pow x 2) (+ (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x) (pow eps 2))) |
(* (pow x 2) (+ (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x) (pow eps 2))) |
(* (pow x 2) (+ (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x) (pow eps 2))) |
(* (pow eps 2) (pow x 2)) |
(* (pow x 2) (+ (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x) (pow eps 2))) |
(* (pow x 2) (+ (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x) (pow eps 2))) |
(* (pow x 2) (+ (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x) (pow eps 2))) |
(/ x eps) |
(/ (+ x (* -1 (* (pow eps 2) x))) eps) |
(/ (+ x (* (pow eps 2) (+ (* -1 x) (* eps (pow x 2))))) eps) |
(/ (+ x (* (pow eps 2) (+ (* -1 x) (* eps (pow x 2))))) eps) |
(* (pow eps 2) (pow x 2)) |
(* (pow eps 2) (+ (* -1 (/ x eps)) (pow x 2))) |
(* (pow eps 2) (+ (* -1 (/ x eps)) (+ (/ x (pow eps 3)) (pow x 2)))) |
(* (pow eps 2) (+ (* -1 (/ x eps)) (+ (/ x (pow eps 3)) (pow x 2)))) |
(* (pow eps 2) (pow x 2)) |
(* (pow eps 2) (+ (* -1 (/ x eps)) (pow x 2))) |
(* (pow eps 2) (+ (* -1 (/ (+ x (* -1 (/ x (pow eps 2)))) eps)) (pow x 2))) |
(* (pow eps 2) (+ (* -1 (/ (+ x (* -1 (/ x (pow eps 2)))) eps)) (pow x 2))) |
1 |
(+ 1 (pow eps 3)) |
(+ 1 (pow eps 3)) |
(+ 1 (pow eps 3)) |
(pow eps 3) |
(* (pow eps 3) (+ 1 (/ 1 (pow eps 3)))) |
(* (pow eps 3) (+ 1 (/ 1 (pow eps 3)))) |
(* (pow eps 3) (+ 1 (/ 1 (pow eps 3)))) |
(pow eps 3) |
(* (pow eps 3) (+ 1 (/ 1 (pow eps 3)))) |
(* (pow eps 3) (+ 1 (/ 1 (pow eps 3)))) |
(* (pow eps 3) (+ 1 (/ 1 (pow eps 3)))) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (* x (+ eps (* -1 (+ 1 eps)))))) |
(fma.f64 (fma.f64 eps #s(literal 0 binary64) #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) |
(+ 1 (* x (+ (* 1/2 (* x (+ (* 1/2 (pow eps 2)) (* 1/2 (pow (+ 1 eps) 2))))) (* 1/2 (+ eps (* -1 (+ 1 eps))))))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 eps eps (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (fma.f64 eps #s(literal 0 binary64) #s(literal -1 binary64)))) #s(literal 1 binary64)) |
(+ 1 (* x (+ (* 1/2 (+ eps (* -1 (+ 1 eps)))) (* x (+ (* 1/2 (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow eps 3))))) (* 1/2 (+ (* 1/2 (pow eps 2)) (* 1/2 (pow (+ 1 eps) 2))))))))) |
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 x #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) eps) #s(literal 1/2 binary64)) (fma.f64 x (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 eps eps)) eps) (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)))) (fma.f64 eps #s(literal 0 binary64) #s(literal -1 binary64)))) #s(literal 1 binary64)) |
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps)))) |
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps)))) |
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps)))) |
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps)))) |
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps)))) |
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps)))) |
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps)))) |
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps)))) |
(* 1/2 (+ 1 (exp (* -1 x)))) |
(fma.f64 #s(literal 1/2 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 1/2 binary64)) |
(+ (* 1/2 (* eps (+ x (* -1 (* x (exp (* -1 x))))))) (* 1/2 (+ 1 (exp (* -1 x))))) |
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 x (-.f64 #s(literal 0 binary64) eps) #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x)) (*.f64 x eps)) #s(literal 1/2 binary64)) |
(+ (* 1/2 (+ 1 (exp (* -1 x)))) (* eps (+ (* 1/2 (* eps (+ (* 1/2 (* (pow x 2) (exp (* -1 x)))) (* 1/2 (pow x 2))))) (* 1/2 (+ x (* -1 (* x (exp (* -1 x))))))))) |
(fma.f64 #s(literal 1/2 binary64) (fma.f64 eps (fma.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x eps)) (-.f64 #s(literal 0 binary64) x)) (*.f64 x (fma.f64 (*.f64 #s(literal 1/2 binary64) eps) x #s(literal 1 binary64)))) (exp.f64 (-.f64 #s(literal 0 binary64) x))) #s(literal 1/2 binary64)) |
(+ (* 1/2 (+ 1 (exp (* -1 x)))) (* eps (+ (* 1/2 (+ x (* -1 (* x (exp (* -1 x)))))) (* eps (+ (* 1/2 (* eps (+ (* -1/6 (* (pow x 3) (exp (* -1 x)))) (* 1/6 (pow x 3))))) (* 1/2 (+ (* 1/2 (* (pow x 2) (exp (* -1 x)))) (* 1/2 (pow x 2))))))))) |
(fma.f64 eps (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (fma.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (fma.f64 eps (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (fma.f64 (*.f64 eps #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))))) (fma.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 x (-.f64 #s(literal 0 binary64) eps) #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x)) (*.f64 x eps)) #s(literal 1/2 binary64))) |
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps)))) |
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps)))) |
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps)))) |
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps)))) |
(* 1/2 (+ (exp (* eps x)) (exp (* x (- (* -1 eps) 1))))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps)))) |
(* 1/2 (+ (exp (* eps x)) (exp (* x (- (* -1 eps) 1))))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps)))) |
(* 1/2 (+ (exp (* eps x)) (exp (* x (- (* -1 eps) 1))))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps)))) |
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1 |
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(* -1 (* x (+ 1 eps))) |
(*.f64 x (-.f64 #s(literal -1 binary64) eps)) |
(* -1 (* x (+ 1 eps))) |
(*.f64 x (-.f64 #s(literal -1 binary64) eps)) |
(* -1 (* x (+ 1 eps))) |
(*.f64 x (-.f64 #s(literal -1 binary64) eps)) |
(* -1 (* x (+ 1 eps))) |
(*.f64 x (-.f64 #s(literal -1 binary64) eps)) |
(* -1 (* x (+ 1 eps))) |
(*.f64 x (-.f64 #s(literal -1 binary64) eps)) |
(* -1 (* x (+ 1 eps))) |
(*.f64 x (-.f64 #s(literal -1 binary64) eps)) |
(* -1 (* x (+ 1 eps))) |
(*.f64 x (-.f64 #s(literal -1 binary64) eps)) |
(* -1 (* x (+ 1 eps))) |
(*.f64 x (-.f64 #s(literal -1 binary64) eps)) |
(* -1 (* x (+ 1 eps))) |
(*.f64 x (-.f64 #s(literal -1 binary64) eps)) |
(* -1 (* x (+ 1 eps))) |
(*.f64 x (-.f64 #s(literal -1 binary64) eps)) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(+ (* -1 x) (* -1 (* eps x))) |
(*.f64 x (-.f64 #s(literal -1 binary64) eps)) |
(+ (* -1 x) (* -1 (* eps x))) |
(*.f64 x (-.f64 #s(literal -1 binary64) eps)) |
(+ (* -1 x) (* -1 (* eps x))) |
(*.f64 x (-.f64 #s(literal -1 binary64) eps)) |
(* -1 (* eps x)) |
(*.f64 eps (-.f64 #s(literal 0 binary64) x)) |
(* eps (+ (* -1 x) (* -1 (/ x eps)))) |
(*.f64 x (-.f64 #s(literal -1 binary64) eps)) |
(* eps (+ (* -1 x) (* -1 (/ x eps)))) |
(*.f64 x (-.f64 #s(literal -1 binary64) eps)) |
(* eps (+ (* -1 x) (* -1 (/ x eps)))) |
(*.f64 x (-.f64 #s(literal -1 binary64) eps)) |
(* -1 (* eps x)) |
(*.f64 eps (-.f64 #s(literal 0 binary64) x)) |
(* -1 (* eps (+ x (/ x eps)))) |
(*.f64 x (-.f64 #s(literal -1 binary64) eps)) |
(* -1 (* eps (+ x (/ x eps)))) |
(*.f64 x (-.f64 #s(literal -1 binary64) eps)) |
(* -1 (* eps (+ x (/ x eps)))) |
(*.f64 x (-.f64 #s(literal -1 binary64) eps)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (* x (+ 1 eps)))) |
(fma.f64 x (-.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) |
(+ 1 (* x (+ (* -1 (+ 1 eps)) (* 1/2 (* x (pow (+ 1 eps) 2)))))) |
(fma.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))) #s(literal 1 binary64)) |
(+ 1 (* x (+ (* -1 (+ 1 eps)) (* x (+ (* -1/6 (* x (pow (+ 1 eps) 3))) (* 1/2 (pow (+ 1 eps) 2))))))) |
(fma.f64 x (fma.f64 x (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 x #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) eps) #s(literal 1/2 binary64))) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)) |
(exp (* -1 (* x (+ 1 eps)))) |
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) |
(exp (* -1 (* x (+ 1 eps)))) |
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) |
(exp (* -1 (* x (+ 1 eps)))) |
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) |
(exp (* -1 (* x (+ 1 eps)))) |
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) |
(exp (* -1 (* x (+ 1 eps)))) |
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) |
(exp (* -1 (* x (+ 1 eps)))) |
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) |
(exp (* -1 (* x (+ 1 eps)))) |
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) |
(exp (* -1 (* x (+ 1 eps)))) |
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) |
(exp (* -1 x)) |
(exp.f64 (-.f64 #s(literal 0 binary64) x)) |
(+ (exp (* -1 x)) (* -1 (* eps (* x (exp (* -1 x)))))) |
(*.f64 (fma.f64 x (-.f64 #s(literal 0 binary64) eps) #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x))) |
(+ (exp (* -1 x)) (* eps (+ (* -1 (* x (exp (* -1 x)))) (* 1/2 (* eps (* (pow x 2) (exp (* -1 x)))))))) |
(fma.f64 eps (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x eps)) (-.f64 #s(literal 0 binary64) x))) (exp.f64 (-.f64 #s(literal 0 binary64) x))) |
(+ (exp (* -1 x)) (* eps (+ (* -1 (* x (exp (* -1 x)))) (* eps (+ (* -1/6 (* eps (* (pow x 3) (exp (* -1 x))))) (* 1/2 (* (pow x 2) (exp (* -1 x))))))))) |
(fma.f64 (*.f64 eps eps) (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (fma.f64 eps (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (*.f64 (fma.f64 x (-.f64 #s(literal 0 binary64) eps) #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x)))) |
(exp (* -1 (* x (+ 1 eps)))) |
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) |
(exp (* -1 (* x (+ 1 eps)))) |
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) |
(exp (* -1 (* x (+ 1 eps)))) |
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) |
(exp (* -1 (* x (+ 1 eps)))) |
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) |
(exp (* x (- (* -1 eps) 1))) |
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) |
(exp (* x (- (* -1 eps) 1))) |
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) |
(exp (* x (- (* -1 eps) 1))) |
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) |
(exp (* x (- (* -1 eps) 1))) |
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) |
(* x (* (+ 1 eps) (- (/ 1 eps) 1))) |
(*.f64 (fma.f64 x eps x) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) |
(* x (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (pow eps 2) x))) |
(*.f64 x (+.f64 (fma.f64 x (*.f64 eps eps) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps)) (-.f64 #s(literal -1 binary64) eps))) |
(* x (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (pow eps 2) x))) |
(*.f64 x (+.f64 (fma.f64 x (*.f64 eps eps) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps)) (-.f64 #s(literal -1 binary64) eps))) |
(* x (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (pow eps 2) x))) |
(*.f64 x (+.f64 (fma.f64 x (*.f64 eps eps) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps)) (-.f64 #s(literal -1 binary64) eps))) |
(* (pow eps 2) (pow x 2)) |
(*.f64 x (*.f64 x (*.f64 eps eps))) |
(* (pow x 2) (+ (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x) (pow eps 2))) |
(*.f64 x (fma.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps)) #s(literal 1 binary64) (*.f64 x (*.f64 eps eps)))) |
(* (pow x 2) (+ (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x) (pow eps 2))) |
(*.f64 x (fma.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps)) #s(literal 1 binary64) (*.f64 x (*.f64 eps eps)))) |
(* (pow x 2) (+ (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x) (pow eps 2))) |
(*.f64 x (fma.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps)) #s(literal 1 binary64) (*.f64 x (*.f64 eps eps)))) |
(* (pow eps 2) (pow x 2)) |
(*.f64 x (*.f64 x (*.f64 eps eps))) |
(* (pow x 2) (+ (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x) (pow eps 2))) |
(*.f64 x (fma.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps)) #s(literal 1 binary64) (*.f64 x (*.f64 eps eps)))) |
(* (pow x 2) (+ (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x) (pow eps 2))) |
(*.f64 x (fma.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps)) #s(literal 1 binary64) (*.f64 x (*.f64 eps eps)))) |
(* (pow x 2) (+ (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x) (pow eps 2))) |
(*.f64 x (fma.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps)) #s(literal 1 binary64) (*.f64 x (*.f64 eps eps)))) |
(/ x eps) |
(/.f64 x eps) |
(/ (+ x (* -1 (* (pow eps 2) x))) eps) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) eps) x) |
(/ (+ x (* (pow eps 2) (+ (* -1 x) (* eps (pow x 2))))) eps) |
(/.f64 (fma.f64 (*.f64 eps eps) (*.f64 x (fma.f64 x eps #s(literal -1 binary64))) x) eps) |
(/ (+ x (* (pow eps 2) (+ (* -1 x) (* eps (pow x 2))))) eps) |
(/.f64 (fma.f64 (*.f64 eps eps) (*.f64 x (fma.f64 x eps #s(literal -1 binary64))) x) eps) |
(* (pow eps 2) (pow x 2)) |
(*.f64 x (*.f64 x (*.f64 eps eps))) |
(* (pow eps 2) (+ (* -1 (/ x eps)) (pow x 2))) |
(*.f64 eps (*.f64 x (fma.f64 x eps #s(literal -1 binary64)))) |
(* (pow eps 2) (+ (* -1 (/ x eps)) (+ (/ x (pow eps 3)) (pow x 2)))) |
(fma.f64 eps (*.f64 x (fma.f64 x eps #s(literal -1 binary64))) (/.f64 (*.f64 x eps) (*.f64 eps eps))) |
(* (pow eps 2) (+ (* -1 (/ x eps)) (+ (/ x (pow eps 3)) (pow x 2)))) |
(fma.f64 eps (*.f64 x (fma.f64 x eps #s(literal -1 binary64))) (/.f64 (*.f64 x eps) (*.f64 eps eps))) |
(* (pow eps 2) (pow x 2)) |
(*.f64 x (*.f64 x (*.f64 eps eps))) |
(* (pow eps 2) (+ (* -1 (/ x eps)) (pow x 2))) |
(*.f64 eps (*.f64 x (fma.f64 x eps #s(literal -1 binary64)))) |
(* (pow eps 2) (+ (* -1 (/ (+ x (* -1 (/ x (pow eps 2)))) eps)) (pow x 2))) |
(fma.f64 eps (*.f64 x (fma.f64 x eps #s(literal -1 binary64))) (/.f64 (*.f64 x eps) (*.f64 eps eps))) |
(* (pow eps 2) (+ (* -1 (/ (+ x (* -1 (/ x (pow eps 2)))) eps)) (pow x 2))) |
(fma.f64 eps (*.f64 x (fma.f64 x eps #s(literal -1 binary64))) (/.f64 (*.f64 x eps) (*.f64 eps eps))) |
1 |
#s(literal 1 binary64) |
(+ 1 (pow eps 3)) |
(fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64)) |
(+ 1 (pow eps 3)) |
(fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64)) |
(+ 1 (pow eps 3)) |
(fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64)) |
(pow eps 3) |
(*.f64 eps (*.f64 eps eps)) |
(* (pow eps 3) (+ 1 (/ 1 (pow eps 3)))) |
(fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64)) |
(* (pow eps 3) (+ 1 (/ 1 (pow eps 3)))) |
(fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64)) |
(* (pow eps 3) (+ 1 (/ 1 (pow eps 3)))) |
(fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64)) |
(pow eps 3) |
(*.f64 eps (*.f64 eps eps)) |
(* (pow eps 3) (+ 1 (/ 1 (pow eps 3)))) |
(fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64)) |
(* (pow eps 3) (+ 1 (/ 1 (pow eps 3)))) |
(fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64)) |
(* (pow eps 3) (+ 1 (/ 1 (pow eps 3)))) |
(fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64)) |
Compiled 77 884 to 5 926 computations (92.4% saved)
32 alts after pruning (29 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 201 | 20 | 2 221 |
| Fresh | 6 | 9 | 15 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 2 210 | 32 | 2 242 |
| Status | Accuracy | Program |
|---|---|---|
| 40.5% | (fma.f64 (fma.f64 eps #s(literal 0 binary64) #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) | |
| ▶ | 74.2% | (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 eps eps)) x #s(literal 1 binary64)) |
| 40.4% | (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) | |
| 50.0% | (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) | |
| 40.5% | (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) | |
| ✓ | 40.3% | (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
| 38.0% | (fma.f64 x (*.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 x #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) eps) #s(literal 1/2 binary64)) (fma.f64 x (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 eps eps)) eps) (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)))) (fma.f64 eps #s(literal 0 binary64) #s(literal -1 binary64)))) #s(literal 1 binary64)) | |
| 68.7% | (fma.f64 eps (*.f64 x (fma.f64 (*.f64 #s(literal 1/2 binary64) eps) x #s(literal -1/2 binary64))) #s(literal 1 binary64)) | |
| ▶ | 51.7% | (fma.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 x (*.f64 x eps)) eps (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))))) #s(literal 1 binary64)) |
| 64.9% | (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 eps eps) (*.f64 x (fma.f64 x eps #s(literal -1 binary64))) x) eps) #s(literal 1 binary64)) | |
| ▶ | 5.6% | (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))) (*.f64 x (*.f64 x x)) #s(literal 0 binary64)) x) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1 binary64)) |
| 27.8% | (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64)) x) (fma.f64 x (*.f64 eps eps) #s(literal 0 binary64))) #s(literal 1 binary64)) | |
| ▶ | 69.0% | (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x eps) (*.f64 x eps)) #s(literal 1 binary64)) |
| 73.5% | (fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 eps eps (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (fma.f64 eps #s(literal 0 binary64) #s(literal -1 binary64)))) #s(literal 1 binary64)) | |
| 4.5% | (fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (fma.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))) (*.f64 x (*.f64 x x)) #s(literal 0 binary64)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64)))) #s(literal 1 binary64)) | |
| 64.2% | (fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (fma.f64 (*.f64 eps eps) (fma.f64 x eps #s(literal -1 binary64)) #s(literal 1 binary64)) eps)) #s(literal 1 binary64)) | |
| 10.3% | (fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (/.f64 (*.f64 (*.f64 x eps) (fma.f64 (*.f64 eps eps) (*.f64 x x) #s(literal 0 binary64))) (*.f64 x x)) (/.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))) #s(literal 1 binary64)) | |
| 37.4% | (fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (/.f64 (*.f64 x eps) x) (/.f64 (*.f64 eps (fma.f64 x (*.f64 eps eps) #s(literal 0 binary64))) (*.f64 eps eps)))) #s(literal 1 binary64)) | |
| 72.3% | (fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (*.f64 x eps) eps)) #s(literal 1 binary64)) | |
| 16.1% | (*.f64 (fma.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))) (*.f64 #s(literal 1/2 binary64) x)) | |
| 19.2% | (*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (fma.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64)) (fma.f64 eps (+.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (+.f64 eps #s(literal -1 binary64))) (/.f64 (+.f64 eps #s(literal -1 binary64)) eps))) | |
| 31.0% | (*.f64 eps (*.f64 x (fma.f64 (*.f64 #s(literal 1/2 binary64) eps) x #s(literal -1/2 binary64)))) | |
| 32.9% | (*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) | |
| 37.5% | (*.f64 #s(literal 1/2 binary64) (fma.f64 x (+.f64 eps (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 x (fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal -1/6 binary64)) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64)))))) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64))) | |
| 62.0% | (*.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 eps (fma.f64 eps (*.f64 (*.f64 x x) (fma.f64 (*.f64 eps #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) | |
| ✓ | 84.0% | (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) |
| 63.1% | (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) #s(literal 1 binary64))) | |
| 61.9% | (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) | |
| 49.9% | (*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x))) | |
| ▶ | 40.5% | (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 2 binary64)) x))) |
| 69.7% | (exp.f64 (-.f64 #s(literal 0 binary64) x)) | |
| ✓ | 41.3% | #s(literal 1 binary64) |
Compiled 1 258 to 718 computations (42.9% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))) |
| ✓ | cost-diff | 0 | (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))) (*.f64 x (*.f64 x x)) #s(literal 0 binary64)) x) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1 binary64)) |
| ✓ | cost-diff | 64 | (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64)) |
| ✓ | cost-diff | 2752 | (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))) (*.f64 x (*.f64 x x)) #s(literal 0 binary64)) x) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x eps)) |
| ✓ | cost-diff | 0 | (fma.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 x (*.f64 x eps)) eps (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))))) #s(literal 1 binary64)) |
| ✓ | cost-diff | 384 | (+.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) |
| ✓ | cost-diff | 448 | (fma.f64 (*.f64 x (*.f64 x eps)) eps (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))))) |
| ✓ | cost-diff | -64 | (*.f64 (*.f64 x eps) (*.f64 x eps)) |
| ✓ | cost-diff | 0 | (*.f64 x eps) |
| ✓ | cost-diff | 64 | (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x eps) (*.f64 x eps)) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (+.f64 x #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (+.f64 (+.f64 x #s(literal 2 binary64)) x) |
| ✓ | cost-diff | 320 | (*.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) |
| ✓ | cost-diff | 512 | (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 2 binary64)) x))) |
| ✓ | cost-diff | -64 | (*.f64 #s(literal 1/2 binary64) x) |
| ✓ | cost-diff | 0 | (*.f64 eps eps) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 eps eps)) x #s(literal 1 binary64)) |
| ✓ | cost-diff | 64 | (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 eps eps)) |
| 9 976× | accelerator-lowering-fma.f32 |
| 9 976× | accelerator-lowering-fma.f64 |
| 4 110× | *-lowering-*.f32 |
| 4 110× | *-lowering-*.f64 |
| 3 340× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 283 |
| 1 | 155 | 247 |
| 2 | 496 | 229 |
| 3 | 3651 | 217 |
| 4 | 5578 | 209 |
| 5 | 7733 | 209 |
| 0 | 8760 | 199 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* (* (* 1/2 x) (* eps eps)) x) 1) |
(* (* 1/2 x) (* eps eps)) |
(* 1/2 x) |
1/2 |
x |
(* eps eps) |
eps |
1 |
(* 1/2 (* 1 (+ (+ x 2) x))) |
1/2 |
(* 1 (+ (+ x 2) x)) |
1 |
(+ (+ x 2) x) |
(+ x 2) |
x |
2 |
(+ (* 1/2 (* (* x eps) (* x eps))) 1) |
1/2 |
(* (* x eps) (* x eps)) |
(* x eps) |
x |
eps |
1 |
(+ (* 1/2 (+ (* (* x (* x eps)) eps) (* x (+ (- -1 eps) (+ 1 (/ 1 eps)))))) 1) |
1/2 |
(+ (* (* x (* x eps)) eps) (* x (+ (- -1 eps) (+ 1 (/ 1 eps))))) |
(* x (* x eps)) |
x |
(* x eps) |
eps |
(* x (+ (- -1 eps) (+ 1 (/ 1 eps)))) |
(+ (- -1 eps) (+ 1 (/ 1 eps))) |
(- -1 eps) |
-1 |
(+ 1 (/ 1 eps)) |
1 |
(/ 1 eps) |
(+ (* 1/2 (/ (* (+ (* (* (* eps (* eps eps)) (* eps (* eps eps))) (* x (* x x))) 0) x) (+ (* (* eps eps) (+ (* (* eps eps) (* x x)) 0)) 0))) 1) |
1/2 |
(/ (* (+ (* (* (* eps (* eps eps)) (* eps (* eps eps))) (* x (* x x))) 0) x) (+ (* (* eps eps) (+ (* (* eps eps) (* x x)) 0)) 0)) |
(* (+ (* (* (* eps (* eps eps)) (* eps (* eps eps))) (* x (* x x))) 0) x) |
(+ (* (* (* eps (* eps eps)) (* eps (* eps eps))) (* x (* x x))) 0) |
(* (* eps (* eps eps)) (* eps (* eps eps))) |
(* eps (* eps eps)) |
eps |
(* eps eps) |
(* x (* x x)) |
x |
(* x x) |
0 |
(+ (* (* eps eps) (+ (* (* eps eps) (* x x)) 0)) 0) |
(+ (* (* eps eps) (* x x)) 0) |
1 |
| Outputs |
|---|
(+ (* (* (* 1/2 x) (* eps eps)) x) 1) |
(fma.f64 x (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x eps))) #s(literal 1 binary64)) |
(* (* 1/2 x) (* eps eps)) |
(*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x eps))) |
(* 1/2 x) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
x |
(* eps eps) |
(*.f64 eps eps) |
eps |
1 |
#s(literal 1 binary64) |
(* 1/2 (* 1 (+ (+ x 2) x))) |
(+.f64 x #s(literal 1 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(* 1 (+ (+ x 2) x)) |
(fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) |
1 |
#s(literal 1 binary64) |
(+ (+ x 2) x) |
(fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) |
(+ x 2) |
(+.f64 x #s(literal 2 binary64)) |
x |
2 |
#s(literal 2 binary64) |
(+ (* 1/2 (* (* x eps) (* x eps))) 1) |
(fma.f64 x (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x eps))) #s(literal 1 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(* (* x eps) (* x eps)) |
(fma.f64 eps (*.f64 eps (*.f64 x x)) #s(literal 0 binary64)) |
(* x eps) |
(*.f64 x eps) |
x |
eps |
1 |
#s(literal 1 binary64) |
(+ (* 1/2 (+ (* (* x (* x eps)) eps) (* x (+ (- -1 eps) (+ 1 (/ 1 eps)))))) 1) |
(fma.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 eps (fma.f64 x eps #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) eps)) #s(literal 0 binary64)) #s(literal 1 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(+ (* (* x (* x eps)) eps) (* x (+ (- -1 eps) (+ 1 (/ 1 eps))))) |
(fma.f64 x (fma.f64 eps (fma.f64 x eps #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) eps)) #s(literal 0 binary64)) |
(* x (* x eps)) |
(*.f64 eps (*.f64 x x)) |
x |
(* x eps) |
(*.f64 x eps) |
eps |
(* x (+ (- -1 eps) (+ 1 (/ 1 eps)))) |
(fma.f64 x (-.f64 (/.f64 #s(literal 1 binary64) eps) eps) #s(literal 0 binary64)) |
(+ (- -1 eps) (+ 1 (/ 1 eps))) |
(-.f64 (/.f64 #s(literal 1 binary64) eps) eps) |
(- -1 eps) |
(-.f64 #s(literal -1 binary64) eps) |
-1 |
#s(literal -1 binary64) |
(+ 1 (/ 1 eps)) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) |
1 |
#s(literal 1 binary64) |
(/ 1 eps) |
(/.f64 #s(literal 1 binary64) eps) |
(+ (* 1/2 (/ (* (+ (* (* (* eps (* eps eps)) (* eps (* eps eps))) (* x (* x x))) 0) x) (+ (* (* eps eps) (+ (* (* eps eps) (* x x)) 0)) 0))) 1) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x)) #s(literal 0 binary64)) (*.f64 x eps)) #s(literal 1 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(/ (* (+ (* (* (* eps (* eps eps)) (* eps (* eps eps))) (* x (* x x))) 0) x) (+ (* (* eps eps) (+ (* (* eps eps) (* x x)) 0)) 0)) |
(/.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x)) #s(literal 0 binary64)) (*.f64 x eps)) |
(* (+ (* (* (* eps (* eps eps)) (* eps (* eps eps))) (* x (* x x))) 0) x) |
(fma.f64 x (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 eps (*.f64 eps (*.f64 eps eps)))) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(+ (* (* (* eps (* eps eps)) (* eps (* eps eps))) (* x (* x x))) 0) |
(fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 eps (*.f64 eps (*.f64 eps eps)))) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* (* eps (* eps eps)) (* eps (* eps eps))) |
(*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))) |
(* eps (* eps eps)) |
(*.f64 eps (*.f64 eps eps)) |
eps |
(* eps eps) |
(*.f64 eps eps) |
(* x (* x x)) |
(*.f64 x (*.f64 x x)) |
x |
(* x x) |
(*.f64 x x) |
0 |
#s(literal 0 binary64) |
(+ (* (* eps eps) (+ (* (* eps eps) (* x x)) 0)) 0) |
(fma.f64 x (*.f64 x (*.f64 eps (*.f64 eps (*.f64 eps eps)))) #s(literal 0 binary64)) |
(+ (* (* eps eps) (* x x)) 0) |
(fma.f64 eps (*.f64 eps (*.f64 x x)) #s(literal 0 binary64)) |
1 |
#s(literal 1 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 94.8% | (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64)) |
| ✓ | accuracy | 76.5% | (fma.f64 (*.f64 eps eps) (*.f64 x x) #s(literal 0 binary64)) |
| ✓ | accuracy | 67.5% | (fma.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))) (*.f64 x (*.f64 x x)) #s(literal 0 binary64)) |
| ✓ | accuracy | 27.5% | (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))) (*.f64 x (*.f64 x x)) #s(literal 0 binary64)) x) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64))) |
| ✓ | accuracy | 100.0% | (+.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) |
| ✓ | accuracy | 99.8% | (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))) |
| ✓ | accuracy | 99.8% | (*.f64 x (*.f64 x eps)) |
| ✓ | accuracy | 94.3% | (fma.f64 (*.f64 x (*.f64 x eps)) eps (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))))) |
| ✓ | accuracy | 100.0% | (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x eps) (*.f64 x eps)) #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 x eps) |
| ✓ | accuracy | 99.6% | (*.f64 (*.f64 x eps) (*.f64 x eps)) |
| ✓ | accuracy | 100.0% | (+.f64 x #s(literal 2 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 2 binary64)) x))) |
| ✓ | accuracy | 100.0% | (+.f64 (+.f64 x #s(literal 2 binary64)) x) |
| ✓ | accuracy | 100.0% | (*.f64 eps eps) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 1/2 binary64) x) |
| ✓ | accuracy | 96.6% | (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 eps eps)) x #s(literal 1 binary64)) |
| ✓ | accuracy | 87.9% | (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 eps eps)) |
| 78.0ms | 256× | 0 | valid |
Compiled 326 to 46 computations (85.9% saved)
ival-mult: 31.0ms (54.6% of total)ival-add: 20.0ms (35.3% of total)ival-div: 3.0ms (5.3% of total)ival-sub: 1.0ms (1.8% of total)exact: 1.0ms (1.8% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* (* 1/2 x) (* eps eps))> |
#<alt (+ (* (* (* 1/2 x) (* eps eps)) x) 1)> |
#<alt (* eps eps)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 (* 1 (+ (+ x 2) x)))> |
#<alt (* 1 (+ (+ x 2) x))> |
#<alt (+ (+ x 2) x)> |
#<alt (+ x 2)> |
#<alt (+ (* 1/2 (* (* x eps) (* x eps))) 1)> |
#<alt (* x eps)> |
#<alt (* (* x eps) (* x eps))> |
#<alt (+ (* (* x (* x eps)) eps) (* x (+ (- -1 eps) (+ 1 (/ 1 eps)))))> |
#<alt (+ (- -1 eps) (+ 1 (/ 1 eps)))> |
#<alt (+ (* 1/2 (+ (* (* x (* x eps)) eps) (* x (+ (- -1 eps) (+ 1 (/ 1 eps)))))) 1)> |
#<alt (* x (* x eps))> |
#<alt (/ (* (+ (* (* (* eps (* eps eps)) (* eps (* eps eps))) (* x (* x x))) 0) x) (+ (* (* eps eps) (+ (* (* eps eps) (* x x)) 0)) 0))> |
#<alt (+ (* (* eps eps) (+ (* (* eps eps) (* x x)) 0)) 0)> |
#<alt (+ (* 1/2 (/ (* (+ (* (* (* eps (* eps eps)) (* eps (* eps eps))) (* x (* x x))) 0) x) (+ (* (* eps eps) (+ (* (* eps eps) (* x x)) 0)) 0))) 1)> |
#<alt (* (* eps (* eps eps)) (* eps (* eps eps)))> |
#<alt (* x (+ (- -1 eps) (+ 1 (/ 1 eps))))> |
#<alt (+ (* (* (* eps (* eps eps)) (* eps (* eps eps))) (* x (* x x))) 0)> |
#<alt (+ (* (* eps eps) (* x x)) 0)> |
| Outputs |
|---|
#<alt (* 1/2 (* (pow eps 2) x))> |
#<alt (* 1/2 (* (pow eps 2) x))> |
#<alt (* 1/2 (* (pow eps 2) x))> |
#<alt (* 1/2 (* (pow eps 2) x))> |
#<alt (* 1/2 (* (pow eps 2) x))> |
#<alt (* 1/2 (* (pow eps 2) x))> |
#<alt (* 1/2 (* (pow eps 2) x))> |
#<alt (* 1/2 (* (pow eps 2) x))> |
#<alt (* 1/2 (* (pow eps 2) x))> |
#<alt (* 1/2 (* (pow eps 2) x))> |
#<alt (* 1/2 (* (pow eps 2) x))> |
#<alt (* 1/2 (* (pow eps 2) x))> |
#<alt (* 1/2 (* (pow eps 2) x))> |
#<alt (* 1/2 (* (pow eps 2) x))> |
#<alt (* 1/2 (* (pow eps 2) x))> |
#<alt (* 1/2 (* (pow eps 2) x))> |
#<alt (* 1/2 (* (pow eps 2) x))> |
#<alt (* 1/2 (* (pow eps 2) x))> |
#<alt (* 1/2 (* (pow eps 2) x))> |
#<alt (* 1/2 (* (pow eps 2) x))> |
#<alt (* 1/2 (* (pow eps 2) x))> |
#<alt (* 1/2 (* (pow eps 2) x))> |
#<alt (* 1/2 (* (pow eps 2) x))> |
#<alt (* 1/2 (* (pow eps 2) x))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))> |
#<alt (+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))> |
#<alt (+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))> |
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))> |
#<alt (* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2))))> |
#<alt (* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2))))> |
#<alt (* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2))))> |
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))> |
#<alt (* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2))))> |
#<alt (* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2))))> |
#<alt (* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2))))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))> |
#<alt (+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))> |
#<alt (+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))> |
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))> |
#<alt (* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))> |
#<alt (* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))> |
#<alt (* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))> |
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))> |
#<alt (* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))> |
#<alt (* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))> |
#<alt (* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))> |
#<alt (pow eps 2)> |
#<alt (pow eps 2)> |
#<alt (pow eps 2)> |
#<alt (pow eps 2)> |
#<alt (pow eps 2)> |
#<alt (pow eps 2)> |
#<alt (pow eps 2)> |
#<alt (pow eps 2)> |
#<alt (pow eps 2)> |
#<alt (pow eps 2)> |
#<alt (pow eps 2)> |
#<alt (pow eps 2)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt 1> |
#<alt (+ 1 x)> |
#<alt (+ 1 x)> |
#<alt (+ 1 x)> |
#<alt x> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt x> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt 2> |
#<alt (+ 2 (* 2 x))> |
#<alt (+ 2 (* 2 x))> |
#<alt (+ 2 (* 2 x))> |
#<alt (* 2 x)> |
#<alt (* x (+ 2 (* 2 (/ 1 x))))> |
#<alt (* x (+ 2 (* 2 (/ 1 x))))> |
#<alt (* x (+ 2 (* 2 (/ 1 x))))> |
#<alt (* 2 x)> |
#<alt (* x (+ 2 (* 2 (/ 1 x))))> |
#<alt (* x (+ 2 (* 2 (/ 1 x))))> |
#<alt (* x (+ 2 (* 2 (/ 1 x))))> |
#<alt 2> |
#<alt (+ 2 (* 2 x))> |
#<alt (+ 2 (* 2 x))> |
#<alt (+ 2 (* 2 x))> |
#<alt (* 2 x)> |
#<alt (* x (+ 2 (* 2 (/ 1 x))))> |
#<alt (* x (+ 2 (* 2 (/ 1 x))))> |
#<alt (* x (+ 2 (* 2 (/ 1 x))))> |
#<alt (* 2 x)> |
#<alt (* x (+ 2 (* 2 (/ 1 x))))> |
#<alt (* x (+ 2 (* 2 (/ 1 x))))> |
#<alt (* x (+ 2 (* 2 (/ 1 x))))> |
#<alt 2> |
#<alt (+ 2 x)> |
#<alt (+ 2 x)> |
#<alt (+ 2 x)> |
#<alt x> |
#<alt (* x (+ 1 (* 2 (/ 1 x))))> |
#<alt (* x (+ 1 (* 2 (/ 1 x))))> |
#<alt (* x (+ 1 (* 2 (/ 1 x))))> |
#<alt x> |
#<alt (* x (+ 1 (* 2 (/ 1 x))))> |
#<alt (* x (+ 1 (* 2 (/ 1 x))))> |
#<alt (* x (+ 1 (* 2 (/ 1 x))))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))> |
#<alt (+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))> |
#<alt (+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))> |
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))> |
#<alt (* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2))))> |
#<alt (* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2))))> |
#<alt (* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2))))> |
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))> |
#<alt (* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2))))> |
#<alt (* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2))))> |
#<alt (* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2))))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))> |
#<alt (+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))> |
#<alt (+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))> |
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))> |
#<alt (* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))> |
#<alt (* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))> |
#<alt (* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))> |
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))> |
#<alt (* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))> |
#<alt (* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))> |
#<alt (* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))> |
#<alt (* eps x)> |
#<alt (* eps x)> |
#<alt (* eps x)> |
#<alt (* eps x)> |
#<alt (* eps x)> |
#<alt (* eps x)> |
#<alt (* eps x)> |
#<alt (* eps x)> |
#<alt (* eps x)> |
#<alt (* eps x)> |
#<alt (* eps x)> |
#<alt (* eps x)> |
#<alt (* eps x)> |
#<alt (* eps x)> |
#<alt (* eps x)> |
#<alt (* eps x)> |
#<alt (* eps x)> |
#<alt (* eps x)> |
#<alt (* eps x)> |
#<alt (* eps x)> |
#<alt (* eps x)> |
#<alt (* eps x)> |
#<alt (* eps x)> |
#<alt (* eps x)> |
#<alt (* (pow eps 2) (pow x 2))> |
#<alt (* (pow eps 2) (pow x 2))> |
#<alt (* (pow eps 2) (pow x 2))> |
#<alt (* (pow eps 2) (pow x 2))> |
#<alt (* (pow eps 2) (pow x 2))> |
#<alt (* (pow eps 2) (pow x 2))> |
#<alt (* (pow eps 2) (pow x 2))> |
#<alt (* (pow eps 2) (pow x 2))> |
#<alt (* (pow eps 2) (pow x 2))> |
#<alt (* (pow eps 2) (pow x 2))> |
#<alt (* (pow eps 2) (pow x 2))> |
#<alt (* (pow eps 2) (pow x 2))> |
#<alt (* (pow eps 2) (pow x 2))> |
#<alt (* (pow eps 2) (pow x 2))> |
#<alt (* (pow eps 2) (pow x 2))> |
#<alt (* (pow eps 2) (pow x 2))> |
#<alt (* (pow eps 2) (pow x 2))> |
#<alt (* (pow eps 2) (pow x 2))> |
#<alt (* (pow eps 2) (pow x 2))> |
#<alt (* (pow eps 2) (pow x 2))> |
#<alt (* (pow eps 2) (pow x 2))> |
#<alt (* (pow eps 2) (pow x 2))> |
#<alt (* (pow eps 2) (pow x 2))> |
#<alt (* (pow eps 2) (pow x 2))> |
#<alt (* x (- (/ 1 eps) eps))> |
#<alt (* x (- (+ (* (pow eps 2) x) (/ 1 eps)) eps))> |
#<alt (* x (- (+ (* (pow eps 2) x) (/ 1 eps)) eps))> |
#<alt (* x (- (+ (* (pow eps 2) x) (/ 1 eps)) eps))> |
#<alt (* (pow eps 2) (pow x 2))> |
#<alt (* (pow x 2) (- (+ (/ 1 (* eps x)) (pow eps 2)) (/ eps x)))> |
#<alt (* (pow x 2) (- (+ (/ 1 (* eps x)) (pow eps 2)) (/ eps x)))> |
#<alt (* (pow x 2) (- (+ (/ 1 (* eps x)) (pow eps 2)) (/ eps x)))> |
#<alt (* (pow eps 2) (pow x 2))> |
#<alt (* (pow x 2) (- (+ (/ 1 (* eps x)) (pow eps 2)) (/ eps x)))> |
#<alt (* (pow x 2) (- (+ (/ 1 (* eps x)) (pow eps 2)) (/ eps x)))> |
#<alt (* (pow x 2) (- (+ (/ 1 (* eps x)) (pow eps 2)) (/ eps x)))> |
#<alt (/ x eps)> |
#<alt (/ (+ x (* -1 (* (pow eps 2) x))) eps)> |
#<alt (/ (+ x (* (pow eps 2) (+ (* -1 x) (* eps (pow x 2))))) eps)> |
#<alt (/ (+ x (* (pow eps 2) (+ (* -1 x) (* eps (pow x 2))))) eps)> |
#<alt (* (pow eps 2) (pow x 2))> |
#<alt (* (pow eps 2) (+ (* -1 (/ x eps)) (pow x 2)))> |
#<alt (* (pow eps 2) (+ (* -1 (/ x eps)) (+ (/ x (pow eps 3)) (pow x 2))))> |
#<alt (* (pow eps 2) (+ (* -1 (/ x eps)) (+ (/ x (pow eps 3)) (pow x 2))))> |
#<alt (* (pow eps 2) (pow x 2))> |
#<alt (* (pow eps 2) (+ (* -1 (/ x eps)) (pow x 2)))> |
#<alt (* (pow eps 2) (+ (* -1 (/ (+ x (* -1 (/ x (pow eps 2)))) eps)) (pow x 2)))> |
#<alt (* (pow eps 2) (+ (* -1 (/ (+ x (* -1 (/ x (pow eps 2)))) eps)) (pow x 2)))> |
#<alt (/ 1 eps)> |
#<alt (/ (+ 1 (* -1 (pow eps 2))) eps)> |
#<alt (/ (+ 1 (* -1 (pow eps 2))) eps)> |
#<alt (/ (+ 1 (* -1 (pow eps 2))) eps)> |
#<alt (* -1 eps)> |
#<alt (* eps (- (/ 1 (pow eps 2)) 1))> |
#<alt (* eps (- (/ 1 (pow eps 2)) 1))> |
#<alt (* eps (- (/ 1 (pow eps 2)) 1))> |
#<alt (* -1 eps)> |
#<alt (* -1 (* eps (- 1 (/ 1 (pow eps 2)))))> |
#<alt (* -1 (* eps (- 1 (/ 1 (pow eps 2)))))> |
#<alt (* -1 (* eps (- 1 (/ 1 (pow eps 2)))))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 (* x (- (/ 1 eps) eps))))> |
#<alt (+ 1 (* x (+ (* 1/2 (* (pow eps 2) x)) (* 1/2 (- (/ 1 eps) eps)))))> |
#<alt (+ 1 (* x (+ (* 1/2 (* (pow eps 2) x)) (* 1/2 (- (/ 1 eps) eps)))))> |
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))> |
#<alt (* (pow x 2) (+ (* 1/2 (/ (- (/ 1 eps) eps) x)) (* 1/2 (pow eps 2))))> |
#<alt (* (pow x 2) (+ (* 1/2 (/ (- (/ 1 eps) eps) x)) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ (* 1/2 (/ (- (/ 1 eps) eps) x)) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2)))))> |
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))> |
#<alt (* (pow x 2) (+ (* 1/2 (/ (- (/ 1 eps) eps) x)) (* 1/2 (pow eps 2))))> |
#<alt (* (pow x 2) (+ (* -1 (/ (- (* -1/2 (- (/ 1 eps) eps)) (/ 1 x)) x)) (* 1/2 (pow eps 2))))> |
#<alt (* (pow x 2) (+ (* -1 (/ (- (* -1/2 (- (/ 1 eps) eps)) (/ 1 x)) x)) (* 1/2 (pow eps 2))))> |
#<alt (* 1/2 (/ x eps))> |
#<alt (/ (+ eps (* 1/2 x)) eps)> |
#<alt (/ (+ (* 1/2 x) (* eps (+ 1 (* -1/2 (* eps x))))) eps)> |
#<alt (/ (+ (* 1/2 x) (* eps (+ 1 (* eps (+ (* -1/2 x) (* 1/2 (* eps (pow x 2)))))))) eps)> |
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))> |
#<alt (* (pow eps 2) (+ (* -1/2 (/ x eps)) (* 1/2 (pow x 2))))> |
#<alt (* (pow eps 2) (+ (* -1/2 (/ x eps)) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2)))))> |
#<alt (* (pow eps 2) (+ (* -1/2 (/ x eps)) (+ (* 1/2 (/ x (pow eps 3))) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))))> |
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))> |
#<alt (* (pow eps 2) (+ (* -1/2 (/ x eps)) (* 1/2 (pow x 2))))> |
#<alt (* (pow eps 2) (+ (* -1 (/ (- (* 1/2 x) (/ 1 eps)) eps)) (* 1/2 (pow x 2))))> |
#<alt (* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* 1/2 (/ x eps))) eps)) (* 1/2 x)) eps)) (* 1/2 (pow x 2))))> |
#<alt (* eps (pow x 2))> |
#<alt (* eps (pow x 2))> |
#<alt (* eps (pow x 2))> |
#<alt (* eps (pow x 2))> |
#<alt (* eps (pow x 2))> |
#<alt (* eps (pow x 2))> |
#<alt (* eps (pow x 2))> |
#<alt (* eps (pow x 2))> |
#<alt (* eps (pow x 2))> |
#<alt (* eps (pow x 2))> |
#<alt (* eps (pow x 2))> |
#<alt (* eps (pow x 2))> |
#<alt (* eps (pow x 2))> |
#<alt (* eps (pow x 2))> |
#<alt (* eps (pow x 2))> |
#<alt (* eps (pow x 2))> |
#<alt (* eps (pow x 2))> |
#<alt (* eps (pow x 2))> |
#<alt (* eps (pow x 2))> |
#<alt (* eps (pow x 2))> |
#<alt (* eps (pow x 2))> |
#<alt (* eps (pow x 2))> |
#<alt (* eps (pow x 2))> |
#<alt (* eps (pow x 2))> |
#<alt (* (pow eps 2) (pow x 2))> |
#<alt (* (pow eps 2) (pow x 2))> |
#<alt (* (pow eps 2) (pow x 2))> |
#<alt (* (pow eps 2) (pow x 2))> |
#<alt (* (pow eps 2) (pow x 2))> |
#<alt (* (pow eps 2) (pow x 2))> |
#<alt (* (pow eps 2) (pow x 2))> |
#<alt (* (pow eps 2) (pow x 2))> |
#<alt (* (pow eps 2) (pow x 2))> |
#<alt (* (pow eps 2) (pow x 2))> |
#<alt (* (pow eps 2) (pow x 2))> |
#<alt (* (pow eps 2) (pow x 2))> |
#<alt (* (pow eps 2) (pow x 2))> |
#<alt (* (pow eps 2) (pow x 2))> |
#<alt (* (pow eps 2) (pow x 2))> |
#<alt (* (pow eps 2) (pow x 2))> |
#<alt (* (pow eps 2) (pow x 2))> |
#<alt (* (pow eps 2) (pow x 2))> |
#<alt (* (pow eps 2) (pow x 2))> |
#<alt (* (pow eps 2) (pow x 2))> |
#<alt (* (pow eps 2) (pow x 2))> |
#<alt (* (pow eps 2) (pow x 2))> |
#<alt (* (pow eps 2) (pow x 2))> |
#<alt (* (pow eps 2) (pow x 2))> |
#<alt (* (pow eps 4) (pow x 2))> |
#<alt (* (pow eps 4) (pow x 2))> |
#<alt (* (pow eps 4) (pow x 2))> |
#<alt (* (pow eps 4) (pow x 2))> |
#<alt (* (pow eps 4) (pow x 2))> |
#<alt (* (pow eps 4) (pow x 2))> |
#<alt (* (pow eps 4) (pow x 2))> |
#<alt (* (pow eps 4) (pow x 2))> |
#<alt (* (pow eps 4) (pow x 2))> |
#<alt (* (pow eps 4) (pow x 2))> |
#<alt (* (pow eps 4) (pow x 2))> |
#<alt (* (pow eps 4) (pow x 2))> |
#<alt (* (pow eps 4) (pow x 2))> |
#<alt (* (pow eps 4) (pow x 2))> |
#<alt (* (pow eps 4) (pow x 2))> |
#<alt (* (pow eps 4) (pow x 2))> |
#<alt (* (pow eps 4) (pow x 2))> |
#<alt (* (pow eps 4) (pow x 2))> |
#<alt (* (pow eps 4) (pow x 2))> |
#<alt (* (pow eps 4) (pow x 2))> |
#<alt (* (pow eps 4) (pow x 2))> |
#<alt (* (pow eps 4) (pow x 2))> |
#<alt (* (pow eps 4) (pow x 2))> |
#<alt (* (pow eps 4) (pow x 2))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))> |
#<alt (+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))> |
#<alt (+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))> |
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))> |
#<alt (* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))> |
#<alt (* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))> |
#<alt (* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))> |
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))> |
#<alt (* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))> |
#<alt (* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))> |
#<alt (* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))> |
#<alt (+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))> |
#<alt (+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))> |
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))> |
#<alt (* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2))))> |
#<alt (* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2))))> |
#<alt (* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2))))> |
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))> |
#<alt (* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2))))> |
#<alt (* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2))))> |
#<alt (* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2))))> |
#<alt (pow eps 6)> |
#<alt (pow eps 6)> |
#<alt (pow eps 6)> |
#<alt (pow eps 6)> |
#<alt (pow eps 6)> |
#<alt (pow eps 6)> |
#<alt (pow eps 6)> |
#<alt (pow eps 6)> |
#<alt (pow eps 6)> |
#<alt (pow eps 6)> |
#<alt (pow eps 6)> |
#<alt (pow eps 6)> |
#<alt (* x (- (/ 1 eps) eps))> |
#<alt (* x (- (/ 1 eps) eps))> |
#<alt (* x (- (/ 1 eps) eps))> |
#<alt (* x (- (/ 1 eps) eps))> |
#<alt (* x (- (/ 1 eps) eps))> |
#<alt (* x (- (/ 1 eps) eps))> |
#<alt (* x (- (/ 1 eps) eps))> |
#<alt (* x (- (/ 1 eps) eps))> |
#<alt (* x (- (/ 1 eps) eps))> |
#<alt (* x (- (/ 1 eps) eps))> |
#<alt (* x (- (/ 1 eps) eps))> |
#<alt (* x (- (/ 1 eps) eps))> |
#<alt (/ x eps)> |
#<alt (/ (+ x (* -1 (* (pow eps 2) x))) eps)> |
#<alt (/ (+ x (* -1 (* (pow eps 2) x))) eps)> |
#<alt (/ (+ x (* -1 (* (pow eps 2) x))) eps)> |
#<alt (* -1 (* eps x))> |
#<alt (* eps (+ (* -1 x) (/ x (pow eps 2))))> |
#<alt (* eps (+ (* -1 x) (/ x (pow eps 2))))> |
#<alt (* eps (+ (* -1 x) (/ x (pow eps 2))))> |
#<alt (* -1 (* eps x))> |
#<alt (* -1 (* eps (+ x (* -1 (/ x (pow eps 2))))))> |
#<alt (* -1 (* eps (+ x (* -1 (/ x (pow eps 2))))))> |
#<alt (* -1 (* eps (+ x (* -1 (/ x (pow eps 2))))))> |
#<alt (* (pow eps 6) (pow x 3))> |
#<alt (* (pow eps 6) (pow x 3))> |
#<alt (* (pow eps 6) (pow x 3))> |
#<alt (* (pow eps 6) (pow x 3))> |
#<alt (* (pow eps 6) (pow x 3))> |
#<alt (* (pow eps 6) (pow x 3))> |
#<alt (* (pow eps 6) (pow x 3))> |
#<alt (* (pow eps 6) (pow x 3))> |
#<alt (* (pow eps 6) (pow x 3))> |
#<alt (* (pow eps 6) (pow x 3))> |
#<alt (* (pow eps 6) (pow x 3))> |
#<alt (* (pow eps 6) (pow x 3))> |
#<alt (* (pow eps 6) (pow x 3))> |
#<alt (* (pow eps 6) (pow x 3))> |
#<alt (* (pow eps 6) (pow x 3))> |
#<alt (* (pow eps 6) (pow x 3))> |
#<alt (* (pow eps 6) (pow x 3))> |
#<alt (* (pow eps 6) (pow x 3))> |
#<alt (* (pow eps 6) (pow x 3))> |
#<alt (* (pow eps 6) (pow x 3))> |
#<alt (* (pow eps 6) (pow x 3))> |
#<alt (* (pow eps 6) (pow x 3))> |
#<alt (* (pow eps 6) (pow x 3))> |
#<alt (* (pow eps 6) (pow x 3))> |
#<alt (* (pow eps 2) (pow x 2))> |
#<alt (* (pow eps 2) (pow x 2))> |
#<alt (* (pow eps 2) (pow x 2))> |
#<alt (* (pow eps 2) (pow x 2))> |
#<alt (* (pow eps 2) (pow x 2))> |
#<alt (* (pow eps 2) (pow x 2))> |
#<alt (* (pow eps 2) (pow x 2))> |
#<alt (* (pow eps 2) (pow x 2))> |
#<alt (* (pow eps 2) (pow x 2))> |
#<alt (* (pow eps 2) (pow x 2))> |
#<alt (* (pow eps 2) (pow x 2))> |
#<alt (* (pow eps 2) (pow x 2))> |
#<alt (* (pow eps 2) (pow x 2))> |
#<alt (* (pow eps 2) (pow x 2))> |
#<alt (* (pow eps 2) (pow x 2))> |
#<alt (* (pow eps 2) (pow x 2))> |
#<alt (* (pow eps 2) (pow x 2))> |
#<alt (* (pow eps 2) (pow x 2))> |
#<alt (* (pow eps 2) (pow x 2))> |
#<alt (* (pow eps 2) (pow x 2))> |
#<alt (* (pow eps 2) (pow x 2))> |
#<alt (* (pow eps 2) (pow x 2))> |
#<alt (* (pow eps 2) (pow x 2))> |
#<alt (* (pow eps 2) (pow x 2))> |
108 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | -inf | (* (* 1/2 x) (* eps eps)) |
| 1.0ms | eps | @ | inf | (/ (* (+ (* (* (* eps (* eps eps)) (* eps (* eps eps))) (* x (* x x))) 0) x) (+ (* (* eps eps) (+ (* (* eps eps) (* x x)) 0)) 0)) |
| 1.0ms | x | @ | 0 | (+ (* (* (* eps (* eps eps)) (* eps (* eps eps))) (* x (* x x))) 0) |
| 1.0ms | eps | @ | 0 | (+ (* (* (* eps (* eps eps)) (* eps (* eps eps))) (* x (* x x))) 0) |
| 1.0ms | x | @ | 0 | (+ (* (* eps eps) (+ (* (* eps eps) (* x x)) 0)) 0) |
| 1× | batch-egg-rewrite |
| 6 150× | *-lowering-*.f32 |
| 6 150× | *-lowering-*.f64 |
| 5 046× | accelerator-lowering-fma.f32 |
| 5 046× | accelerator-lowering-fma.f64 |
| 2 972× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 200 |
| 1 | 323 | 182 |
| 2 | 3081 | 178 |
| 0 | 9058 | 172 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (* 1/2 x) (* eps eps)) |
(+ (* (* (* 1/2 x) (* eps eps)) x) 1) |
(* eps eps) |
(* 1/2 x) |
(* 1/2 (* 1 (+ (+ x 2) x))) |
(* 1 (+ (+ x 2) x)) |
(+ (+ x 2) x) |
(+ x 2) |
(+ (* 1/2 (* (* x eps) (* x eps))) 1) |
(* x eps) |
(* (* x eps) (* x eps)) |
(+ (* (* x (* x eps)) eps) (* x (+ (- -1 eps) (+ 1 (/ 1 eps))))) |
(+ (- -1 eps) (+ 1 (/ 1 eps))) |
(+ (* 1/2 (+ (* (* x (* x eps)) eps) (* x (+ (- -1 eps) (+ 1 (/ 1 eps)))))) 1) |
(* x (* x eps)) |
(/ (* (+ (* (* (* eps (* eps eps)) (* eps (* eps eps))) (* x (* x x))) 0) x) (+ (* (* eps eps) (+ (* (* eps eps) (* x x)) 0)) 0)) |
(+ (* (* eps eps) (+ (* (* eps eps) (* x x)) 0)) 0) |
(+ (* 1/2 (/ (* (+ (* (* (* eps (* eps eps)) (* eps (* eps eps))) (* x (* x x))) 0) x) (+ (* (* eps eps) (+ (* (* eps eps) (* x x)) 0)) 0))) 1) |
(* (* eps (* eps eps)) (* eps (* eps eps))) |
(* x (+ (- -1 eps) (+ 1 (/ 1 eps)))) |
(+ (* (* (* eps (* eps eps)) (* eps (* eps eps))) (* x (* x x))) 0) |
(+ (* (* eps eps) (* x x)) 0) |
| Outputs |
|---|
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 eps eps))) |
(*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 eps eps)) |
(*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x eps))) |
(*.f64 (*.f64 eps eps) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)) eps) |
(*.f64 (*.f64 x (*.f64 eps eps)) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 (*.f64 eps eps) #s(literal 1/2 binary64)) x) |
(+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x (*.f64 eps eps)) #s(literal 0 binary64))) |
(+.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x (*.f64 eps eps)) #s(literal 0 binary64)) #s(literal 1 binary64)) |
(-.f64 (/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 eps eps)) (fma.f64 x (*.f64 x (*.f64 eps eps)) #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 1/4 binary64)) (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 eps eps))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 eps eps))) #s(literal -1 binary64)))) |
(fma.f64 #s(literal 1/2 binary64) (fma.f64 x (*.f64 x (*.f64 eps eps)) #s(literal 0 binary64)) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x (*.f64 x (*.f64 eps eps)) #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 eps eps))) #s(literal 1 binary64)) |
(fma.f64 x (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 eps eps))) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x (*.f64 eps eps)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 x (*.f64 eps eps)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 eps (*.f64 (*.f64 x (*.f64 x eps)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 eps eps) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 eps eps))) x #s(literal 1 binary64)) |
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(/.f64 (neg.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 x (*.f64 x eps)) (*.f64 (*.f64 x (*.f64 x eps)) (*.f64 x (*.f64 x eps)))) #s(literal 0 binary64))) (neg.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 eps eps)) (fma.f64 x (*.f64 x (*.f64 eps eps)) #s(literal 0 binary64))) #s(literal 0 binary64)))) |
(/.f64 (neg.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 eps eps)) (fma.f64 x (*.f64 x (*.f64 eps eps)) #s(literal 0 binary64))) #s(literal 0 binary64))) (neg.f64 (fma.f64 x (*.f64 x (*.f64 eps eps)) #s(literal 0 binary64)))) |
(/.f64 (-.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 x (*.f64 x eps)) (*.f64 (*.f64 x (*.f64 x eps)) (*.f64 x (*.f64 x eps)))) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (*.f64 (*.f64 x (*.f64 eps eps)) (fma.f64 x (*.f64 x (*.f64 eps eps)) #s(literal 0 binary64))) #s(literal 0 binary64))) |
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 (*.f64 x (*.f64 eps eps)) (fma.f64 x (*.f64 x (*.f64 eps eps)) #s(literal 0 binary64))) #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x (*.f64 eps eps)) #s(literal 0 binary64)))) |
(pow.f64 (*.f64 x eps) #s(literal 2 binary64)) |
(pow.f64 (fma.f64 x (*.f64 x (*.f64 eps eps)) #s(literal 0 binary64)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 eps eps)) #s(literal 0 binary64))) #s(literal -1 binary64)) |
(pow.f64 (exp.f64 (log.f64 (*.f64 x eps))) #s(literal 2 binary64)) |
(*.f64 x (*.f64 x (*.f64 eps eps))) |
(*.f64 eps (*.f64 x (*.f64 x eps))) |
(*.f64 (*.f64 eps eps) (*.f64 x x)) |
(*.f64 (*.f64 x eps) (*.f64 x eps)) |
(*.f64 (*.f64 x (*.f64 x eps)) eps) |
(*.f64 (*.f64 x x) (*.f64 eps eps)) |
(*.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 x (*.f64 x eps)) (*.f64 (*.f64 x (*.f64 x eps)) (*.f64 x (*.f64 x eps)))) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (*.f64 x (*.f64 eps eps)) (fma.f64 x (*.f64 x (*.f64 eps eps)) #s(literal 0 binary64))) #s(literal 0 binary64)))) |
(*.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 eps eps)) (fma.f64 x (*.f64 x (*.f64 eps eps)) #s(literal 0 binary64))) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 eps eps)) #s(literal 0 binary64)))) |
(*.f64 (*.f64 x (*.f64 eps eps)) x) |
(*.f64 (exp.f64 (log.f64 (*.f64 x eps))) (exp.f64 (log.f64 (*.f64 x eps)))) |
| 1× | egg-herbie |
| 16 106× | accelerator-lowering-fma.f32 |
| 16 106× | accelerator-lowering-fma.f64 |
| 3 942× | *-lowering-*.f32 |
| 3 942× | *-lowering-*.f64 |
| 2 142× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 150 | 3037 |
| 1 | 451 | 3014 |
| 2 | 1192 | 3002 |
| 3 | 3662 | 2968 |
| 4 | 6742 | 2966 |
| 0 | 8172 | 2820 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (* (pow eps 2) x)) |
(* 1/2 (* (pow eps 2) x)) |
(* 1/2 (* (pow eps 2) x)) |
(* 1/2 (* (pow eps 2) x)) |
(* 1/2 (* (pow eps 2) x)) |
(* 1/2 (* (pow eps 2) x)) |
(* 1/2 (* (pow eps 2) x)) |
(* 1/2 (* (pow eps 2) x)) |
(* 1/2 (* (pow eps 2) x)) |
(* 1/2 (* (pow eps 2) x)) |
(* 1/2 (* (pow eps 2) x)) |
(* 1/2 (* (pow eps 2) x)) |
(* 1/2 (* (pow eps 2) x)) |
(* 1/2 (* (pow eps 2) x)) |
(* 1/2 (* (pow eps 2) x)) |
(* 1/2 (* (pow eps 2) x)) |
(* 1/2 (* (pow eps 2) x)) |
(* 1/2 (* (pow eps 2) x)) |
(* 1/2 (* (pow eps 2) x)) |
(* 1/2 (* (pow eps 2) x)) |
(* 1/2 (* (pow eps 2) x)) |
(* 1/2 (* (pow eps 2) x)) |
(* 1/2 (* (pow eps 2) x)) |
(* 1/2 (* (pow eps 2) x)) |
1 |
(+ 1 (* 1/2 (* (pow eps 2) (pow x 2)))) |
(+ 1 (* 1/2 (* (pow eps 2) (pow x 2)))) |
(+ 1 (* 1/2 (* (pow eps 2) (pow x 2)))) |
(* 1/2 (* (pow eps 2) (pow x 2))) |
(* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2)))) |
(* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2)))) |
(* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2)))) |
(* 1/2 (* (pow eps 2) (pow x 2))) |
(* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2)))) |
(* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2)))) |
(* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2)))) |
1 |
(+ 1 (* 1/2 (* (pow eps 2) (pow x 2)))) |
(+ 1 (* 1/2 (* (pow eps 2) (pow x 2)))) |
(+ 1 (* 1/2 (* (pow eps 2) (pow x 2)))) |
(* 1/2 (* (pow eps 2) (pow x 2))) |
(* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2)))) |
(* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2)))) |
(* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2)))) |
(* 1/2 (* (pow eps 2) (pow x 2))) |
(* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2)))) |
(* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2)))) |
(* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2)))) |
(pow eps 2) |
(pow eps 2) |
(pow eps 2) |
(pow eps 2) |
(pow eps 2) |
(pow eps 2) |
(pow eps 2) |
(pow eps 2) |
(pow eps 2) |
(pow eps 2) |
(pow eps 2) |
(pow eps 2) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
1 |
(+ 1 x) |
(+ 1 x) |
(+ 1 x) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
2 |
(+ 2 (* 2 x)) |
(+ 2 (* 2 x)) |
(+ 2 (* 2 x)) |
(* 2 x) |
(* x (+ 2 (* 2 (/ 1 x)))) |
(* x (+ 2 (* 2 (/ 1 x)))) |
(* x (+ 2 (* 2 (/ 1 x)))) |
(* 2 x) |
(* x (+ 2 (* 2 (/ 1 x)))) |
(* x (+ 2 (* 2 (/ 1 x)))) |
(* x (+ 2 (* 2 (/ 1 x)))) |
2 |
(+ 2 (* 2 x)) |
(+ 2 (* 2 x)) |
(+ 2 (* 2 x)) |
(* 2 x) |
(* x (+ 2 (* 2 (/ 1 x)))) |
(* x (+ 2 (* 2 (/ 1 x)))) |
(* x (+ 2 (* 2 (/ 1 x)))) |
(* 2 x) |
(* x (+ 2 (* 2 (/ 1 x)))) |
(* x (+ 2 (* 2 (/ 1 x)))) |
(* x (+ 2 (* 2 (/ 1 x)))) |
2 |
(+ 2 x) |
(+ 2 x) |
(+ 2 x) |
x |
(* x (+ 1 (* 2 (/ 1 x)))) |
(* x (+ 1 (* 2 (/ 1 x)))) |
(* x (+ 1 (* 2 (/ 1 x)))) |
x |
(* x (+ 1 (* 2 (/ 1 x)))) |
(* x (+ 1 (* 2 (/ 1 x)))) |
(* x (+ 1 (* 2 (/ 1 x)))) |
1 |
(+ 1 (* 1/2 (* (pow eps 2) (pow x 2)))) |
(+ 1 (* 1/2 (* (pow eps 2) (pow x 2)))) |
(+ 1 (* 1/2 (* (pow eps 2) (pow x 2)))) |
(* 1/2 (* (pow eps 2) (pow x 2))) |
(* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2)))) |
(* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2)))) |
(* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2)))) |
(* 1/2 (* (pow eps 2) (pow x 2))) |
(* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2)))) |
(* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2)))) |
(* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2)))) |
1 |
(+ 1 (* 1/2 (* (pow eps 2) (pow x 2)))) |
(+ 1 (* 1/2 (* (pow eps 2) (pow x 2)))) |
(+ 1 (* 1/2 (* (pow eps 2) (pow x 2)))) |
(* 1/2 (* (pow eps 2) (pow x 2))) |
(* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2)))) |
(* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2)))) |
(* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2)))) |
(* 1/2 (* (pow eps 2) (pow x 2))) |
(* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2)))) |
(* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2)))) |
(* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2)))) |
(* eps x) |
(* eps x) |
(* eps x) |
(* eps x) |
(* eps x) |
(* eps x) |
(* eps x) |
(* eps x) |
(* eps x) |
(* eps x) |
(* eps x) |
(* eps x) |
(* eps x) |
(* eps x) |
(* eps x) |
(* eps x) |
(* eps x) |
(* eps x) |
(* eps x) |
(* eps x) |
(* eps x) |
(* eps x) |
(* eps x) |
(* eps x) |
(* (pow eps 2) (pow x 2)) |
(* (pow eps 2) (pow x 2)) |
(* (pow eps 2) (pow x 2)) |
(* (pow eps 2) (pow x 2)) |
(* (pow eps 2) (pow x 2)) |
(* (pow eps 2) (pow x 2)) |
(* (pow eps 2) (pow x 2)) |
(* (pow eps 2) (pow x 2)) |
(* (pow eps 2) (pow x 2)) |
(* (pow eps 2) (pow x 2)) |
(* (pow eps 2) (pow x 2)) |
(* (pow eps 2) (pow x 2)) |
(* (pow eps 2) (pow x 2)) |
(* (pow eps 2) (pow x 2)) |
(* (pow eps 2) (pow x 2)) |
(* (pow eps 2) (pow x 2)) |
(* (pow eps 2) (pow x 2)) |
(* (pow eps 2) (pow x 2)) |
(* (pow eps 2) (pow x 2)) |
(* (pow eps 2) (pow x 2)) |
(* (pow eps 2) (pow x 2)) |
(* (pow eps 2) (pow x 2)) |
(* (pow eps 2) (pow x 2)) |
(* (pow eps 2) (pow x 2)) |
(* x (- (/ 1 eps) eps)) |
(* x (- (+ (* (pow eps 2) x) (/ 1 eps)) eps)) |
(* x (- (+ (* (pow eps 2) x) (/ 1 eps)) eps)) |
(* x (- (+ (* (pow eps 2) x) (/ 1 eps)) eps)) |
(* (pow eps 2) (pow x 2)) |
(* (pow x 2) (- (+ (/ 1 (* eps x)) (pow eps 2)) (/ eps x))) |
(* (pow x 2) (- (+ (/ 1 (* eps x)) (pow eps 2)) (/ eps x))) |
(* (pow x 2) (- (+ (/ 1 (* eps x)) (pow eps 2)) (/ eps x))) |
(* (pow eps 2) (pow x 2)) |
(* (pow x 2) (- (+ (/ 1 (* eps x)) (pow eps 2)) (/ eps x))) |
(* (pow x 2) (- (+ (/ 1 (* eps x)) (pow eps 2)) (/ eps x))) |
(* (pow x 2) (- (+ (/ 1 (* eps x)) (pow eps 2)) (/ eps x))) |
(/ x eps) |
(/ (+ x (* -1 (* (pow eps 2) x))) eps) |
(/ (+ x (* (pow eps 2) (+ (* -1 x) (* eps (pow x 2))))) eps) |
(/ (+ x (* (pow eps 2) (+ (* -1 x) (* eps (pow x 2))))) eps) |
(* (pow eps 2) (pow x 2)) |
(* (pow eps 2) (+ (* -1 (/ x eps)) (pow x 2))) |
(* (pow eps 2) (+ (* -1 (/ x eps)) (+ (/ x (pow eps 3)) (pow x 2)))) |
(* (pow eps 2) (+ (* -1 (/ x eps)) (+ (/ x (pow eps 3)) (pow x 2)))) |
(* (pow eps 2) (pow x 2)) |
(* (pow eps 2) (+ (* -1 (/ x eps)) (pow x 2))) |
(* (pow eps 2) (+ (* -1 (/ (+ x (* -1 (/ x (pow eps 2)))) eps)) (pow x 2))) |
(* (pow eps 2) (+ (* -1 (/ (+ x (* -1 (/ x (pow eps 2)))) eps)) (pow x 2))) |
(/ 1 eps) |
(/ (+ 1 (* -1 (pow eps 2))) eps) |
(/ (+ 1 (* -1 (pow eps 2))) eps) |
(/ (+ 1 (* -1 (pow eps 2))) eps) |
(* -1 eps) |
(* eps (- (/ 1 (pow eps 2)) 1)) |
(* eps (- (/ 1 (pow eps 2)) 1)) |
(* eps (- (/ 1 (pow eps 2)) 1)) |
(* -1 eps) |
(* -1 (* eps (- 1 (/ 1 (pow eps 2))))) |
(* -1 (* eps (- 1 (/ 1 (pow eps 2))))) |
(* -1 (* eps (- 1 (/ 1 (pow eps 2))))) |
1 |
(+ 1 (* 1/2 (* x (- (/ 1 eps) eps)))) |
(+ 1 (* x (+ (* 1/2 (* (pow eps 2) x)) (* 1/2 (- (/ 1 eps) eps))))) |
(+ 1 (* x (+ (* 1/2 (* (pow eps 2) x)) (* 1/2 (- (/ 1 eps) eps))))) |
(* 1/2 (* (pow eps 2) (pow x 2))) |
(* (pow x 2) (+ (* 1/2 (/ (- (/ 1 eps) eps) x)) (* 1/2 (pow eps 2)))) |
(* (pow x 2) (+ (* 1/2 (/ (- (/ 1 eps) eps) x)) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2))))) |
(* (pow x 2) (+ (* 1/2 (/ (- (/ 1 eps) eps) x)) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2))))) |
(* 1/2 (* (pow eps 2) (pow x 2))) |
(* (pow x 2) (+ (* 1/2 (/ (- (/ 1 eps) eps) x)) (* 1/2 (pow eps 2)))) |
(* (pow x 2) (+ (* -1 (/ (- (* -1/2 (- (/ 1 eps) eps)) (/ 1 x)) x)) (* 1/2 (pow eps 2)))) |
(* (pow x 2) (+ (* -1 (/ (- (* -1/2 (- (/ 1 eps) eps)) (/ 1 x)) x)) (* 1/2 (pow eps 2)))) |
(* 1/2 (/ x eps)) |
(/ (+ eps (* 1/2 x)) eps) |
(/ (+ (* 1/2 x) (* eps (+ 1 (* -1/2 (* eps x))))) eps) |
(/ (+ (* 1/2 x) (* eps (+ 1 (* eps (+ (* -1/2 x) (* 1/2 (* eps (pow x 2)))))))) eps) |
(* 1/2 (* (pow eps 2) (pow x 2))) |
(* (pow eps 2) (+ (* -1/2 (/ x eps)) (* 1/2 (pow x 2)))) |
(* (pow eps 2) (+ (* -1/2 (/ x eps)) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))) |
(* (pow eps 2) (+ (* -1/2 (/ x eps)) (+ (* 1/2 (/ x (pow eps 3))) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2)))))) |
(* 1/2 (* (pow eps 2) (pow x 2))) |
(* (pow eps 2) (+ (* -1/2 (/ x eps)) (* 1/2 (pow x 2)))) |
(* (pow eps 2) (+ (* -1 (/ (- (* 1/2 x) (/ 1 eps)) eps)) (* 1/2 (pow x 2)))) |
(* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* 1/2 (/ x eps))) eps)) (* 1/2 x)) eps)) (* 1/2 (pow x 2)))) |
(* eps (pow x 2)) |
(* eps (pow x 2)) |
(* eps (pow x 2)) |
(* eps (pow x 2)) |
(* eps (pow x 2)) |
(* eps (pow x 2)) |
(* eps (pow x 2)) |
(* eps (pow x 2)) |
(* eps (pow x 2)) |
(* eps (pow x 2)) |
(* eps (pow x 2)) |
(* eps (pow x 2)) |
(* eps (pow x 2)) |
(* eps (pow x 2)) |
(* eps (pow x 2)) |
(* eps (pow x 2)) |
(* eps (pow x 2)) |
(* eps (pow x 2)) |
(* eps (pow x 2)) |
(* eps (pow x 2)) |
(* eps (pow x 2)) |
(* eps (pow x 2)) |
(* eps (pow x 2)) |
(* eps (pow x 2)) |
(* (pow eps 2) (pow x 2)) |
(* (pow eps 2) (pow x 2)) |
(* (pow eps 2) (pow x 2)) |
(* (pow eps 2) (pow x 2)) |
(* (pow eps 2) (pow x 2)) |
(* (pow eps 2) (pow x 2)) |
(* (pow eps 2) (pow x 2)) |
(* (pow eps 2) (pow x 2)) |
(* (pow eps 2) (pow x 2)) |
(* (pow eps 2) (pow x 2)) |
(* (pow eps 2) (pow x 2)) |
(* (pow eps 2) (pow x 2)) |
(* (pow eps 2) (pow x 2)) |
(* (pow eps 2) (pow x 2)) |
(* (pow eps 2) (pow x 2)) |
(* (pow eps 2) (pow x 2)) |
(* (pow eps 2) (pow x 2)) |
(* (pow eps 2) (pow x 2)) |
(* (pow eps 2) (pow x 2)) |
(* (pow eps 2) (pow x 2)) |
(* (pow eps 2) (pow x 2)) |
(* (pow eps 2) (pow x 2)) |
(* (pow eps 2) (pow x 2)) |
(* (pow eps 2) (pow x 2)) |
(* (pow eps 4) (pow x 2)) |
(* (pow eps 4) (pow x 2)) |
(* (pow eps 4) (pow x 2)) |
(* (pow eps 4) (pow x 2)) |
(* (pow eps 4) (pow x 2)) |
(* (pow eps 4) (pow x 2)) |
(* (pow eps 4) (pow x 2)) |
(* (pow eps 4) (pow x 2)) |
(* (pow eps 4) (pow x 2)) |
(* (pow eps 4) (pow x 2)) |
(* (pow eps 4) (pow x 2)) |
(* (pow eps 4) (pow x 2)) |
(* (pow eps 4) (pow x 2)) |
(* (pow eps 4) (pow x 2)) |
(* (pow eps 4) (pow x 2)) |
(* (pow eps 4) (pow x 2)) |
(* (pow eps 4) (pow x 2)) |
(* (pow eps 4) (pow x 2)) |
(* (pow eps 4) (pow x 2)) |
(* (pow eps 4) (pow x 2)) |
(* (pow eps 4) (pow x 2)) |
(* (pow eps 4) (pow x 2)) |
(* (pow eps 4) (pow x 2)) |
(* (pow eps 4) (pow x 2)) |
1 |
(+ 1 (* 1/2 (* (pow eps 2) (pow x 2)))) |
(+ 1 (* 1/2 (* (pow eps 2) (pow x 2)))) |
(+ 1 (* 1/2 (* (pow eps 2) (pow x 2)))) |
(* 1/2 (* (pow eps 2) (pow x 2))) |
(* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2)))) |
(* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2)))) |
(* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2)))) |
(* 1/2 (* (pow eps 2) (pow x 2))) |
(* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2)))) |
(* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2)))) |
(* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2)))) |
1 |
(+ 1 (* 1/2 (* (pow eps 2) (pow x 2)))) |
(+ 1 (* 1/2 (* (pow eps 2) (pow x 2)))) |
(+ 1 (* 1/2 (* (pow eps 2) (pow x 2)))) |
(* 1/2 (* (pow eps 2) (pow x 2))) |
(* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2)))) |
(* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2)))) |
(* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2)))) |
(* 1/2 (* (pow eps 2) (pow x 2))) |
(* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2)))) |
(* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2)))) |
(* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2)))) |
(pow eps 6) |
(pow eps 6) |
(pow eps 6) |
(pow eps 6) |
(pow eps 6) |
(pow eps 6) |
(pow eps 6) |
(pow eps 6) |
(pow eps 6) |
(pow eps 6) |
(pow eps 6) |
(pow eps 6) |
(* x (- (/ 1 eps) eps)) |
(* x (- (/ 1 eps) eps)) |
(* x (- (/ 1 eps) eps)) |
(* x (- (/ 1 eps) eps)) |
(* x (- (/ 1 eps) eps)) |
(* x (- (/ 1 eps) eps)) |
(* x (- (/ 1 eps) eps)) |
(* x (- (/ 1 eps) eps)) |
(* x (- (/ 1 eps) eps)) |
(* x (- (/ 1 eps) eps)) |
(* x (- (/ 1 eps) eps)) |
(* x (- (/ 1 eps) eps)) |
(/ x eps) |
(/ (+ x (* -1 (* (pow eps 2) x))) eps) |
(/ (+ x (* -1 (* (pow eps 2) x))) eps) |
(/ (+ x (* -1 (* (pow eps 2) x))) eps) |
(* -1 (* eps x)) |
(* eps (+ (* -1 x) (/ x (pow eps 2)))) |
(* eps (+ (* -1 x) (/ x (pow eps 2)))) |
(* eps (+ (* -1 x) (/ x (pow eps 2)))) |
(* -1 (* eps x)) |
(* -1 (* eps (+ x (* -1 (/ x (pow eps 2)))))) |
(* -1 (* eps (+ x (* -1 (/ x (pow eps 2)))))) |
(* -1 (* eps (+ x (* -1 (/ x (pow eps 2)))))) |
(* (pow eps 6) (pow x 3)) |
(* (pow eps 6) (pow x 3)) |
(* (pow eps 6) (pow x 3)) |
(* (pow eps 6) (pow x 3)) |
(* (pow eps 6) (pow x 3)) |
(* (pow eps 6) (pow x 3)) |
(* (pow eps 6) (pow x 3)) |
(* (pow eps 6) (pow x 3)) |
(* (pow eps 6) (pow x 3)) |
(* (pow eps 6) (pow x 3)) |
(* (pow eps 6) (pow x 3)) |
(* (pow eps 6) (pow x 3)) |
(* (pow eps 6) (pow x 3)) |
(* (pow eps 6) (pow x 3)) |
(* (pow eps 6) (pow x 3)) |
(* (pow eps 6) (pow x 3)) |
(* (pow eps 6) (pow x 3)) |
(* (pow eps 6) (pow x 3)) |
(* (pow eps 6) (pow x 3)) |
(* (pow eps 6) (pow x 3)) |
(* (pow eps 6) (pow x 3)) |
(* (pow eps 6) (pow x 3)) |
(* (pow eps 6) (pow x 3)) |
(* (pow eps 6) (pow x 3)) |
(* (pow eps 2) (pow x 2)) |
(* (pow eps 2) (pow x 2)) |
(* (pow eps 2) (pow x 2)) |
(* (pow eps 2) (pow x 2)) |
(* (pow eps 2) (pow x 2)) |
(* (pow eps 2) (pow x 2)) |
(* (pow eps 2) (pow x 2)) |
(* (pow eps 2) (pow x 2)) |
(* (pow eps 2) (pow x 2)) |
(* (pow eps 2) (pow x 2)) |
(* (pow eps 2) (pow x 2)) |
(* (pow eps 2) (pow x 2)) |
(* (pow eps 2) (pow x 2)) |
(* (pow eps 2) (pow x 2)) |
(* (pow eps 2) (pow x 2)) |
(* (pow eps 2) (pow x 2)) |
(* (pow eps 2) (pow x 2)) |
(* (pow eps 2) (pow x 2)) |
(* (pow eps 2) (pow x 2)) |
(* (pow eps 2) (pow x 2)) |
(* (pow eps 2) (pow x 2)) |
(* (pow eps 2) (pow x 2)) |
(* (pow eps 2) (pow x 2)) |
(* (pow eps 2) (pow x 2)) |
| Outputs |
|---|
(* 1/2 (* (pow eps 2) x)) |
(*.f64 eps (*.f64 #s(literal 1/2 binary64) (fma.f64 eps x #s(literal 0 binary64)))) |
(* 1/2 (* (pow eps 2) x)) |
(*.f64 eps (*.f64 #s(literal 1/2 binary64) (fma.f64 eps x #s(literal 0 binary64)))) |
(* 1/2 (* (pow eps 2) x)) |
(*.f64 eps (*.f64 #s(literal 1/2 binary64) (fma.f64 eps x #s(literal 0 binary64)))) |
(* 1/2 (* (pow eps 2) x)) |
(*.f64 eps (*.f64 #s(literal 1/2 binary64) (fma.f64 eps x #s(literal 0 binary64)))) |
(* 1/2 (* (pow eps 2) x)) |
(*.f64 eps (*.f64 #s(literal 1/2 binary64) (fma.f64 eps x #s(literal 0 binary64)))) |
(* 1/2 (* (pow eps 2) x)) |
(*.f64 eps (*.f64 #s(literal 1/2 binary64) (fma.f64 eps x #s(literal 0 binary64)))) |
(* 1/2 (* (pow eps 2) x)) |
(*.f64 eps (*.f64 #s(literal 1/2 binary64) (fma.f64 eps x #s(literal 0 binary64)))) |
(* 1/2 (* (pow eps 2) x)) |
(*.f64 eps (*.f64 #s(literal 1/2 binary64) (fma.f64 eps x #s(literal 0 binary64)))) |
(* 1/2 (* (pow eps 2) x)) |
(*.f64 eps (*.f64 #s(literal 1/2 binary64) (fma.f64 eps x #s(literal 0 binary64)))) |
(* 1/2 (* (pow eps 2) x)) |
(*.f64 eps (*.f64 #s(literal 1/2 binary64) (fma.f64 eps x #s(literal 0 binary64)))) |
(* 1/2 (* (pow eps 2) x)) |
(*.f64 eps (*.f64 #s(literal 1/2 binary64) (fma.f64 eps x #s(literal 0 binary64)))) |
(* 1/2 (* (pow eps 2) x)) |
(*.f64 eps (*.f64 #s(literal 1/2 binary64) (fma.f64 eps x #s(literal 0 binary64)))) |
(* 1/2 (* (pow eps 2) x)) |
(*.f64 eps (*.f64 #s(literal 1/2 binary64) (fma.f64 eps x #s(literal 0 binary64)))) |
(* 1/2 (* (pow eps 2) x)) |
(*.f64 eps (*.f64 #s(literal 1/2 binary64) (fma.f64 eps x #s(literal 0 binary64)))) |
(* 1/2 (* (pow eps 2) x)) |
(*.f64 eps (*.f64 #s(literal 1/2 binary64) (fma.f64 eps x #s(literal 0 binary64)))) |
(* 1/2 (* (pow eps 2) x)) |
(*.f64 eps (*.f64 #s(literal 1/2 binary64) (fma.f64 eps x #s(literal 0 binary64)))) |
(* 1/2 (* (pow eps 2) x)) |
(*.f64 eps (*.f64 #s(literal 1/2 binary64) (fma.f64 eps x #s(literal 0 binary64)))) |
(* 1/2 (* (pow eps 2) x)) |
(*.f64 eps (*.f64 #s(literal 1/2 binary64) (fma.f64 eps x #s(literal 0 binary64)))) |
(* 1/2 (* (pow eps 2) x)) |
(*.f64 eps (*.f64 #s(literal 1/2 binary64) (fma.f64 eps x #s(literal 0 binary64)))) |
(* 1/2 (* (pow eps 2) x)) |
(*.f64 eps (*.f64 #s(literal 1/2 binary64) (fma.f64 eps x #s(literal 0 binary64)))) |
(* 1/2 (* (pow eps 2) x)) |
(*.f64 eps (*.f64 #s(literal 1/2 binary64) (fma.f64 eps x #s(literal 0 binary64)))) |
(* 1/2 (* (pow eps 2) x)) |
(*.f64 eps (*.f64 #s(literal 1/2 binary64) (fma.f64 eps x #s(literal 0 binary64)))) |
(* 1/2 (* (pow eps 2) x)) |
(*.f64 eps (*.f64 #s(literal 1/2 binary64) (fma.f64 eps x #s(literal 0 binary64)))) |
(* 1/2 (* (pow eps 2) x)) |
(*.f64 eps (*.f64 #s(literal 1/2 binary64) (fma.f64 eps x #s(literal 0 binary64)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (* (pow eps 2) (pow x 2)))) |
(fma.f64 eps (*.f64 #s(literal 1/2 binary64) (fma.f64 eps (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1 binary64)) |
(+ 1 (* 1/2 (* (pow eps 2) (pow x 2)))) |
(fma.f64 eps (*.f64 #s(literal 1/2 binary64) (fma.f64 eps (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1 binary64)) |
(+ 1 (* 1/2 (* (pow eps 2) (pow x 2)))) |
(fma.f64 eps (*.f64 #s(literal 1/2 binary64) (fma.f64 eps (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1 binary64)) |
(* 1/2 (* (pow eps 2) (pow x 2))) |
(fma.f64 eps (*.f64 #s(literal 1/2 binary64) (fma.f64 eps (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) |
(* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2)))) |
(fma.f64 eps (*.f64 #s(literal 1/2 binary64) (fma.f64 eps (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1 binary64)) |
(* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2)))) |
(fma.f64 eps (*.f64 #s(literal 1/2 binary64) (fma.f64 eps (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1 binary64)) |
(* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2)))) |
(fma.f64 eps (*.f64 #s(literal 1/2 binary64) (fma.f64 eps (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1 binary64)) |
(* 1/2 (* (pow eps 2) (pow x 2))) |
(fma.f64 eps (*.f64 #s(literal 1/2 binary64) (fma.f64 eps (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) |
(* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2)))) |
(fma.f64 eps (*.f64 #s(literal 1/2 binary64) (fma.f64 eps (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1 binary64)) |
(* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2)))) |
(fma.f64 eps (*.f64 #s(literal 1/2 binary64) (fma.f64 eps (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1 binary64)) |
(* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2)))) |
(fma.f64 eps (*.f64 #s(literal 1/2 binary64) (fma.f64 eps (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (* (pow eps 2) (pow x 2)))) |
(fma.f64 eps (*.f64 #s(literal 1/2 binary64) (fma.f64 eps (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1 binary64)) |
(+ 1 (* 1/2 (* (pow eps 2) (pow x 2)))) |
(fma.f64 eps (*.f64 #s(literal 1/2 binary64) (fma.f64 eps (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1 binary64)) |
(+ 1 (* 1/2 (* (pow eps 2) (pow x 2)))) |
(fma.f64 eps (*.f64 #s(literal 1/2 binary64) (fma.f64 eps (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1 binary64)) |
(* 1/2 (* (pow eps 2) (pow x 2))) |
(fma.f64 eps (*.f64 #s(literal 1/2 binary64) (fma.f64 eps (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) |
(* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2)))) |
(fma.f64 eps (*.f64 #s(literal 1/2 binary64) (fma.f64 eps (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1 binary64)) |
(* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2)))) |
(fma.f64 eps (*.f64 #s(literal 1/2 binary64) (fma.f64 eps (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1 binary64)) |
(* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2)))) |
(fma.f64 eps (*.f64 #s(literal 1/2 binary64) (fma.f64 eps (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1 binary64)) |
(* 1/2 (* (pow eps 2) (pow x 2))) |
(fma.f64 eps (*.f64 #s(literal 1/2 binary64) (fma.f64 eps (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) |
(* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2)))) |
(fma.f64 eps (*.f64 #s(literal 1/2 binary64) (fma.f64 eps (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1 binary64)) |
(* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2)))) |
(fma.f64 eps (*.f64 #s(literal 1/2 binary64) (fma.f64 eps (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1 binary64)) |
(* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2)))) |
(fma.f64 eps (*.f64 #s(literal 1/2 binary64) (fma.f64 eps (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1 binary64)) |
(pow eps 2) |
(fma.f64 eps eps #s(literal 0 binary64)) |
(pow eps 2) |
(fma.f64 eps eps #s(literal 0 binary64)) |
(pow eps 2) |
(fma.f64 eps eps #s(literal 0 binary64)) |
(pow eps 2) |
(fma.f64 eps eps #s(literal 0 binary64)) |
(pow eps 2) |
(fma.f64 eps eps #s(literal 0 binary64)) |
(pow eps 2) |
(fma.f64 eps eps #s(literal 0 binary64)) |
(pow eps 2) |
(fma.f64 eps eps #s(literal 0 binary64)) |
(pow eps 2) |
(fma.f64 eps eps #s(literal 0 binary64)) |
(pow eps 2) |
(fma.f64 eps eps #s(literal 0 binary64)) |
(pow eps 2) |
(fma.f64 eps eps #s(literal 0 binary64)) |
(pow eps 2) |
(fma.f64 eps eps #s(literal 0 binary64)) |
(pow eps 2) |
(fma.f64 eps eps #s(literal 0 binary64)) |
(* 1/2 x) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64)) |
(* 1/2 x) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64)) |
(* 1/2 x) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64)) |
(* 1/2 x) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64)) |
(* 1/2 x) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64)) |
(* 1/2 x) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64)) |
(* 1/2 x) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64)) |
(* 1/2 x) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64)) |
(* 1/2 x) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64)) |
(* 1/2 x) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64)) |
(* 1/2 x) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64)) |
(* 1/2 x) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
x |
(* x (+ 1 (/ 1 x))) |
(+.f64 x #s(literal 1 binary64)) |
(* x (+ 1 (/ 1 x))) |
(+.f64 x #s(literal 1 binary64)) |
(* x (+ 1 (/ 1 x))) |
(+.f64 x #s(literal 1 binary64)) |
x |
(* x (+ 1 (/ 1 x))) |
(+.f64 x #s(literal 1 binary64)) |
(* x (+ 1 (/ 1 x))) |
(+.f64 x #s(literal 1 binary64)) |
(* x (+ 1 (/ 1 x))) |
(+.f64 x #s(literal 1 binary64)) |
2 |
#s(literal 2 binary64) |
(+ 2 (* 2 x)) |
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) |
(+ 2 (* 2 x)) |
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) |
(+ 2 (* 2 x)) |
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* x (+ 2 (* 2 (/ 1 x)))) |
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) |
(* x (+ 2 (* 2 (/ 1 x)))) |
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) |
(* x (+ 2 (* 2 (/ 1 x)))) |
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* x (+ 2 (* 2 (/ 1 x)))) |
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) |
(* x (+ 2 (* 2 (/ 1 x)))) |
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) |
(* x (+ 2 (* 2 (/ 1 x)))) |
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) |
2 |
#s(literal 2 binary64) |
(+ 2 (* 2 x)) |
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) |
(+ 2 (* 2 x)) |
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) |
(+ 2 (* 2 x)) |
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* x (+ 2 (* 2 (/ 1 x)))) |
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) |
(* x (+ 2 (* 2 (/ 1 x)))) |
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) |
(* x (+ 2 (* 2 (/ 1 x)))) |
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* x (+ 2 (* 2 (/ 1 x)))) |
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) |
(* x (+ 2 (* 2 (/ 1 x)))) |
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) |
(* x (+ 2 (* 2 (/ 1 x)))) |
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) |
2 |
#s(literal 2 binary64) |
(+ 2 x) |
(+.f64 #s(literal 2 binary64) x) |
(+ 2 x) |
(+.f64 #s(literal 2 binary64) x) |
(+ 2 x) |
(+.f64 #s(literal 2 binary64) x) |
x |
(* x (+ 1 (* 2 (/ 1 x)))) |
(+.f64 #s(literal 2 binary64) x) |
(* x (+ 1 (* 2 (/ 1 x)))) |
(+.f64 #s(literal 2 binary64) x) |
(* x (+ 1 (* 2 (/ 1 x)))) |
(+.f64 #s(literal 2 binary64) x) |
x |
(* x (+ 1 (* 2 (/ 1 x)))) |
(+.f64 #s(literal 2 binary64) x) |
(* x (+ 1 (* 2 (/ 1 x)))) |
(+.f64 #s(literal 2 binary64) x) |
(* x (+ 1 (* 2 (/ 1 x)))) |
(+.f64 #s(literal 2 binary64) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (* (pow eps 2) (pow x 2)))) |
(fma.f64 eps (*.f64 #s(literal 1/2 binary64) (fma.f64 eps (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1 binary64)) |
(+ 1 (* 1/2 (* (pow eps 2) (pow x 2)))) |
(fma.f64 eps (*.f64 #s(literal 1/2 binary64) (fma.f64 eps (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1 binary64)) |
(+ 1 (* 1/2 (* (pow eps 2) (pow x 2)))) |
(fma.f64 eps (*.f64 #s(literal 1/2 binary64) (fma.f64 eps (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1 binary64)) |
(* 1/2 (* (pow eps 2) (pow x 2))) |
(fma.f64 eps (*.f64 #s(literal 1/2 binary64) (fma.f64 eps (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) |
(* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2)))) |
(fma.f64 eps (*.f64 #s(literal 1/2 binary64) (fma.f64 eps (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1 binary64)) |
(* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2)))) |
(fma.f64 eps (*.f64 #s(literal 1/2 binary64) (fma.f64 eps (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1 binary64)) |
(* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2)))) |
(fma.f64 eps (*.f64 #s(literal 1/2 binary64) (fma.f64 eps (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1 binary64)) |
(* 1/2 (* (pow eps 2) (pow x 2))) |
(fma.f64 eps (*.f64 #s(literal 1/2 binary64) (fma.f64 eps (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) |
(* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2)))) |
(fma.f64 eps (*.f64 #s(literal 1/2 binary64) (fma.f64 eps (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1 binary64)) |
(* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2)))) |
(fma.f64 eps (*.f64 #s(literal 1/2 binary64) (fma.f64 eps (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1 binary64)) |
(* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2)))) |
(fma.f64 eps (*.f64 #s(literal 1/2 binary64) (fma.f64 eps (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (* (pow eps 2) (pow x 2)))) |
(fma.f64 eps (*.f64 #s(literal 1/2 binary64) (fma.f64 eps (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1 binary64)) |
(+ 1 (* 1/2 (* (pow eps 2) (pow x 2)))) |
(fma.f64 eps (*.f64 #s(literal 1/2 binary64) (fma.f64 eps (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1 binary64)) |
(+ 1 (* 1/2 (* (pow eps 2) (pow x 2)))) |
(fma.f64 eps (*.f64 #s(literal 1/2 binary64) (fma.f64 eps (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1 binary64)) |
(* 1/2 (* (pow eps 2) (pow x 2))) |
(fma.f64 eps (*.f64 #s(literal 1/2 binary64) (fma.f64 eps (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) |
(* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2)))) |
(fma.f64 eps (*.f64 #s(literal 1/2 binary64) (fma.f64 eps (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1 binary64)) |
(* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2)))) |
(fma.f64 eps (*.f64 #s(literal 1/2 binary64) (fma.f64 eps (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1 binary64)) |
(* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2)))) |
(fma.f64 eps (*.f64 #s(literal 1/2 binary64) (fma.f64 eps (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1 binary64)) |
(* 1/2 (* (pow eps 2) (pow x 2))) |
(fma.f64 eps (*.f64 #s(literal 1/2 binary64) (fma.f64 eps (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) |
(* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2)))) |
(fma.f64 eps (*.f64 #s(literal 1/2 binary64) (fma.f64 eps (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1 binary64)) |
(* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2)))) |
(fma.f64 eps (*.f64 #s(literal 1/2 binary64) (fma.f64 eps (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1 binary64)) |
(* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2)))) |
(fma.f64 eps (*.f64 #s(literal 1/2 binary64) (fma.f64 eps (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1 binary64)) |
(* eps x) |
(fma.f64 eps x #s(literal 0 binary64)) |
(* eps x) |
(fma.f64 eps x #s(literal 0 binary64)) |
(* eps x) |
(fma.f64 eps x #s(literal 0 binary64)) |
(* eps x) |
(fma.f64 eps x #s(literal 0 binary64)) |
(* eps x) |
(fma.f64 eps x #s(literal 0 binary64)) |
(* eps x) |
(fma.f64 eps x #s(literal 0 binary64)) |
(* eps x) |
(fma.f64 eps x #s(literal 0 binary64)) |
(* eps x) |
(fma.f64 eps x #s(literal 0 binary64)) |
(* eps x) |
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(* (pow eps 2) (pow x 2)) |
(fma.f64 eps (fma.f64 eps (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* (pow eps 2) (pow x 2)) |
(fma.f64 eps (fma.f64 eps (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* (pow eps 2) (pow x 2)) |
(fma.f64 eps (fma.f64 eps (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* (pow eps 2) (pow x 2)) |
(fma.f64 eps (fma.f64 eps (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* (pow eps 2) (pow x 2)) |
(fma.f64 eps (fma.f64 eps (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* (pow eps 2) (pow x 2)) |
(fma.f64 eps (fma.f64 eps (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* (pow eps 2) (pow x 2)) |
(fma.f64 eps (fma.f64 eps (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* (pow eps 2) (pow x 2)) |
(fma.f64 eps (fma.f64 eps (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* (pow eps 2) (pow x 2)) |
(fma.f64 eps (fma.f64 eps (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* (pow eps 2) (pow x 2)) |
(fma.f64 eps (fma.f64 eps (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* (pow eps 2) (pow x 2)) |
(fma.f64 eps (fma.f64 eps (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* (pow eps 2) (pow x 2)) |
(fma.f64 eps (fma.f64 eps (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* (pow eps 2) (pow x 2)) |
(fma.f64 eps (fma.f64 eps (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) |
Compiled 55 310 to 3 731 computations (93.3% saved)
35 alts after pruning (30 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 484 | 7 | 1 491 |
| Fresh | 1 | 23 | 24 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 488 | 35 | 1 523 |
| Status | Accuracy | Program |
|---|---|---|
| 40.5% | (fma.f64 (fma.f64 eps #s(literal 0 binary64) #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) | |
| 72.3% | (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)) eps) x #s(literal 1 binary64)) | |
| ✓ | 74.2% | (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 eps eps)) x #s(literal 1 binary64)) |
| 40.4% | (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) | |
| 50.0% | (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) | |
| 40.5% | (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) | |
| ✓ | 40.3% | (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
| 38.0% | (fma.f64 x (*.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 x #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) eps) #s(literal 1/2 binary64)) (fma.f64 x (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 eps eps)) eps) (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)))) (fma.f64 eps #s(literal 0 binary64) #s(literal -1 binary64)))) #s(literal 1 binary64)) | |
| 68.7% | (fma.f64 eps (*.f64 x (fma.f64 (*.f64 #s(literal 1/2 binary64) eps) x #s(literal -1/2 binary64))) #s(literal 1 binary64)) | |
| 62.1% | (fma.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 x (*.f64 x eps)) eps (*.f64 x (-.f64 #s(literal 0 binary64) eps))) #s(literal 1 binary64)) | |
| 65.3% | (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (fma.f64 eps x #s(literal 0 binary64)) (*.f64 eps (fma.f64 eps x #s(literal -1 binary64))) x) eps) #s(literal 1 binary64)) | |
| 64.9% | (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 eps eps) (*.f64 x (fma.f64 x eps #s(literal -1 binary64))) x) eps) #s(literal 1 binary64)) | |
| 5.6% | (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))) (*.f64 x (*.f64 x x)) #s(literal 0 binary64)) x) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 x (*.f64 x eps))) eps)) #s(literal 1 binary64)) | |
| 27.8% | (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64)) x) (fma.f64 x (*.f64 eps eps) #s(literal 0 binary64))) #s(literal 1 binary64)) | |
| 74.2% | (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 eps eps)) #s(literal 0 binary64)))) #s(literal 1 binary64)) | |
| ✓ | 69.0% | (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x eps) (*.f64 x eps)) #s(literal 1 binary64)) |
| 73.5% | (fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 eps eps (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (fma.f64 eps #s(literal 0 binary64) #s(literal -1 binary64)))) #s(literal 1 binary64)) | |
| 4.5% | (fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (fma.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))) (*.f64 x (*.f64 x x)) #s(literal 0 binary64)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64)))) #s(literal 1 binary64)) | |
| 64.2% | (fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (fma.f64 (*.f64 eps eps) (fma.f64 x eps #s(literal -1 binary64)) #s(literal 1 binary64)) eps)) #s(literal 1 binary64)) | |
| 10.3% | (fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (/.f64 (*.f64 (*.f64 x eps) (fma.f64 (*.f64 eps eps) (*.f64 x x) #s(literal 0 binary64))) (*.f64 x x)) (/.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))) #s(literal 1 binary64)) | |
| 37.4% | (fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (/.f64 (*.f64 x eps) x) (/.f64 (*.f64 eps (fma.f64 x (*.f64 eps eps) #s(literal 0 binary64))) (*.f64 eps eps)))) #s(literal 1 binary64)) | |
| 40.5% | (+.f64 x #s(literal 1 binary64)) | |
| 16.1% | (*.f64 (fma.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))) (*.f64 #s(literal 1/2 binary64) x)) | |
| 19.2% | (*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (fma.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64)) (fma.f64 eps (+.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (+.f64 eps #s(literal -1 binary64))) (/.f64 (+.f64 eps #s(literal -1 binary64)) eps))) | |
| 31.0% | (*.f64 eps (*.f64 x (fma.f64 (*.f64 #s(literal 1/2 binary64) eps) x #s(literal -1/2 binary64)))) | |
| 32.9% | (*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) | |
| 37.5% | (*.f64 #s(literal 1/2 binary64) (fma.f64 x (+.f64 eps (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 x (fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal -1/6 binary64)) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64)))))) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64))) | |
| 62.0% | (*.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 eps (fma.f64 eps (*.f64 (*.f64 x x) (fma.f64 (*.f64 eps #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) | |
| ✓ | 84.0% | (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) |
| 63.1% | (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) #s(literal 1 binary64))) | |
| 61.9% | (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) | |
| 49.9% | (*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x))) | |
| 69.7% | (exp.f64 (-.f64 #s(literal 0 binary64) x)) | |
| 2.8% | x | |
| ✓ | 41.3% | #s(literal 1 binary64) |
Compiled 1 741 to 646 computations (62.9% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
x |
(+.f64 x #s(literal 1 binary64)) |
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 2 binary64)) x))) |
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 eps #s(literal 0 binary64) #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) |
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(*.f64 eps (*.f64 x (fma.f64 (*.f64 #s(literal 1/2 binary64) eps) x #s(literal -1/2 binary64)))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (*.f64 x eps) eps)) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x eps) (*.f64 x eps)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 eps eps)) x #s(literal 1 binary64)) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)) eps) x #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 x (*.f64 eps eps) #s(literal 0 binary64))) #s(literal 1 binary64)) |
(fma.f64 eps (*.f64 x (fma.f64 (*.f64 #s(literal 1/2 binary64) eps) x #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x))) |
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 x (*.f64 x eps)) eps (*.f64 x (-.f64 #s(literal 0 binary64) eps))) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (fma.f64 (*.f64 eps eps) (fma.f64 x eps #s(literal -1 binary64)) #s(literal 1 binary64)) eps)) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 eps eps) (*.f64 x (fma.f64 x eps #s(literal -1 binary64))) x) eps) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (fma.f64 eps x #s(literal 0 binary64)) (*.f64 eps (fma.f64 eps x #s(literal -1 binary64))) x) eps) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (fma.f64 eps (-.f64 (fma.f64 x (*.f64 eps eps) #s(literal 0 binary64)) x) #s(literal 0 binary64)) eps)) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 eps eps)) #s(literal 0 binary64)))) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 eps eps (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (fma.f64 eps #s(literal 0 binary64) #s(literal -1 binary64)))) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 x (*.f64 eps eps) #s(literal 0 binary64)))) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 eps (fma.f64 x eps #s(literal 1 binary64)) #s(literal 0 binary64)))) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 x (*.f64 x eps)) eps (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))))) #s(literal 1 binary64)) |
(fma.f64 x (fma.f64 x (*.f64 #s(literal 1/4 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (fma.f64 #s(literal 1/2 binary64) (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(*.f64 (fma.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))) (*.f64 #s(literal 1/2 binary64) x)) |
(fma.f64 (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps))) (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64)) x) (fma.f64 x (*.f64 eps eps) #s(literal 0 binary64))) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (/.f64 (*.f64 x eps) x) (/.f64 (*.f64 eps (fma.f64 x (*.f64 eps eps) #s(literal 0 binary64))) (*.f64 eps eps)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (fma.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64)) (fma.f64 eps (+.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (+.f64 eps #s(literal -1 binary64))) (/.f64 (+.f64 eps #s(literal -1 binary64)) eps))) |
(fma.f64 (fma.f64 (/.f64 (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64)) (fma.f64 eps eps (-.f64 #s(literal 1 binary64) eps))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps))) (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) |
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 x #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) eps) #s(literal 1/2 binary64)) (fma.f64 x (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 eps eps)) eps) (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)))) (fma.f64 eps #s(literal 0 binary64) #s(literal -1 binary64)))) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))) (*.f64 x (*.f64 x x)) #s(literal 0 binary64)) x) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 x (*.f64 x eps))) eps)) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (fma.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))) (*.f64 x (*.f64 x x)) #s(literal 0 binary64)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64)))) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))) (*.f64 x (*.f64 x x)) #s(literal 0 binary64)) x) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (/.f64 (*.f64 (*.f64 x eps) (fma.f64 (*.f64 eps eps) (*.f64 x x) #s(literal 0 binary64))) (*.f64 x x)) (/.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))))))) #s(literal 1 binary64)) |
(exp.f64 (-.f64 #s(literal 0 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (+.f64 eps (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 x (fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal -1/6 binary64)) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64)))))) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) #s(literal 1 binary64))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))) #s(literal 1 binary64))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps)) (*.f64 x (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))))))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 eps (fma.f64 eps (*.f64 (*.f64 x x) (fma.f64 (*.f64 eps #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) |
(/.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 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #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))))) #s(literal 2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))) (fma.f64 x (-.f64 (fma.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 #s(literal 1/2 binary64) eps #s(literal 1/2 binary64)))) #s(literal -1 binary64)) eps) #s(literal 1 binary64)))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) |
(/.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 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) |
4 calls:
| 31.0ms | x |
| 30.0ms | (/.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)) |
| 15.0ms | eps |
| 12.0ms | (-.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 |
|---|---|---|
| 99.2% | 1 | x |
| 99.2% | 1 | eps |
| 99.2% | 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)) |
| 99.2% | 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))))) |
Compiled 66 to 40 computations (39.4% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
x |
(+.f64 x #s(literal 1 binary64)) |
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 2 binary64)) x))) |
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 eps #s(literal 0 binary64) #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) |
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(*.f64 eps (*.f64 x (fma.f64 (*.f64 #s(literal 1/2 binary64) eps) x #s(literal -1/2 binary64)))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (*.f64 x eps) eps)) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x eps) (*.f64 x eps)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 eps eps)) x #s(literal 1 binary64)) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)) eps) x #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 x (*.f64 eps eps) #s(literal 0 binary64))) #s(literal 1 binary64)) |
(fma.f64 eps (*.f64 x (fma.f64 (*.f64 #s(literal 1/2 binary64) eps) x #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x))) |
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 x (*.f64 x eps)) eps (*.f64 x (-.f64 #s(literal 0 binary64) eps))) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (fma.f64 (*.f64 eps eps) (fma.f64 x eps #s(literal -1 binary64)) #s(literal 1 binary64)) eps)) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 eps eps) (*.f64 x (fma.f64 x eps #s(literal -1 binary64))) x) eps) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (fma.f64 eps x #s(literal 0 binary64)) (*.f64 eps (fma.f64 eps x #s(literal -1 binary64))) x) eps) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (fma.f64 eps (-.f64 (fma.f64 x (*.f64 eps eps) #s(literal 0 binary64)) x) #s(literal 0 binary64)) eps)) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 eps eps)) #s(literal 0 binary64)))) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 eps eps (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (fma.f64 eps #s(literal 0 binary64) #s(literal -1 binary64)))) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 x (*.f64 eps eps) #s(literal 0 binary64)))) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 eps (fma.f64 x eps #s(literal 1 binary64)) #s(literal 0 binary64)))) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 x (*.f64 x eps)) eps (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))))) #s(literal 1 binary64)) |
(fma.f64 x (fma.f64 x (*.f64 #s(literal 1/4 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (fma.f64 #s(literal 1/2 binary64) (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(*.f64 (fma.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))) (*.f64 #s(literal 1/2 binary64) x)) |
(fma.f64 (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps))) (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64)) x) (fma.f64 x (*.f64 eps eps) #s(literal 0 binary64))) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (/.f64 (*.f64 x eps) x) (/.f64 (*.f64 eps (fma.f64 x (*.f64 eps eps) #s(literal 0 binary64))) (*.f64 eps eps)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (fma.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64)) (fma.f64 eps (+.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (+.f64 eps #s(literal -1 binary64))) (/.f64 (+.f64 eps #s(literal -1 binary64)) eps))) |
(fma.f64 (fma.f64 (/.f64 (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64)) (fma.f64 eps eps (-.f64 #s(literal 1 binary64) eps))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps))) (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) |
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 x #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) eps) #s(literal 1/2 binary64)) (fma.f64 x (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 eps eps)) eps) (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)))) (fma.f64 eps #s(literal 0 binary64) #s(literal -1 binary64)))) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))) (*.f64 x (*.f64 x x)) #s(literal 0 binary64)) x) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 x (*.f64 x eps))) eps)) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (fma.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))) (*.f64 x (*.f64 x x)) #s(literal 0 binary64)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64)))) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))) (*.f64 x (*.f64 x x)) #s(literal 0 binary64)) x) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (/.f64 (*.f64 (*.f64 x eps) (fma.f64 (*.f64 eps eps) (*.f64 x x) #s(literal 0 binary64))) (*.f64 x x)) (/.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))))))) #s(literal 1 binary64)) |
(exp.f64 (-.f64 #s(literal 0 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (+.f64 eps (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 x (fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal -1/6 binary64)) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64)))))) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) #s(literal 1 binary64))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))) #s(literal 1 binary64))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps)) (*.f64 x (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))))))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 eps (fma.f64 eps (*.f64 (*.f64 x x) (fma.f64 (*.f64 eps #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) |
(/.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 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #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))))) #s(literal 2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))) (fma.f64 x (-.f64 (fma.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 #s(literal 1/2 binary64) eps #s(literal 1/2 binary64)))) #s(literal -1 binary64)) eps) #s(literal 1 binary64)))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) |
| Outputs |
|---|
(*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) |
4 calls:
| 55.0ms | eps |
| 39.0ms | x |
| 18.0ms | (-.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))))) |
| 11.0ms | (/.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 |
|---|---|---|
| 88.6% | 3 | x |
| 100.0% | 2 | eps |
| 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)) |
| 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))))) |
Compiled 66 to 40 computations (39.4% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
x |
(+.f64 x #s(literal 1 binary64)) |
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 2 binary64)) x))) |
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 eps #s(literal 0 binary64) #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) |
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(*.f64 eps (*.f64 x (fma.f64 (*.f64 #s(literal 1/2 binary64) eps) x #s(literal -1/2 binary64)))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (*.f64 x eps) eps)) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x eps) (*.f64 x eps)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 eps eps)) x #s(literal 1 binary64)) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)) eps) x #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 x (*.f64 eps eps) #s(literal 0 binary64))) #s(literal 1 binary64)) |
(fma.f64 eps (*.f64 x (fma.f64 (*.f64 #s(literal 1/2 binary64) eps) x #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x))) |
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 x (*.f64 x eps)) eps (*.f64 x (-.f64 #s(literal 0 binary64) eps))) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (fma.f64 (*.f64 eps eps) (fma.f64 x eps #s(literal -1 binary64)) #s(literal 1 binary64)) eps)) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 eps eps) (*.f64 x (fma.f64 x eps #s(literal -1 binary64))) x) eps) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (fma.f64 eps x #s(literal 0 binary64)) (*.f64 eps (fma.f64 eps x #s(literal -1 binary64))) x) eps) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (fma.f64 eps (-.f64 (fma.f64 x (*.f64 eps eps) #s(literal 0 binary64)) x) #s(literal 0 binary64)) eps)) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 eps eps)) #s(literal 0 binary64)))) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 eps eps (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (fma.f64 eps #s(literal 0 binary64) #s(literal -1 binary64)))) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 x (*.f64 eps eps) #s(literal 0 binary64)))) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 eps (fma.f64 x eps #s(literal 1 binary64)) #s(literal 0 binary64)))) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 x (*.f64 x eps)) eps (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))))) #s(literal 1 binary64)) |
(fma.f64 x (fma.f64 x (*.f64 #s(literal 1/4 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (fma.f64 #s(literal 1/2 binary64) (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(*.f64 (fma.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))) (*.f64 #s(literal 1/2 binary64) x)) |
(fma.f64 (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps))) (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64)) x) (fma.f64 x (*.f64 eps eps) #s(literal 0 binary64))) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (/.f64 (*.f64 x eps) x) (/.f64 (*.f64 eps (fma.f64 x (*.f64 eps eps) #s(literal 0 binary64))) (*.f64 eps eps)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (fma.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64)) (fma.f64 eps (+.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (+.f64 eps #s(literal -1 binary64))) (/.f64 (+.f64 eps #s(literal -1 binary64)) eps))) |
(fma.f64 (fma.f64 (/.f64 (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64)) (fma.f64 eps eps (-.f64 #s(literal 1 binary64) eps))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps))) (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) |
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 x #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) eps) #s(literal 1/2 binary64)) (fma.f64 x (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 eps eps)) eps) (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)))) (fma.f64 eps #s(literal 0 binary64) #s(literal -1 binary64)))) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))) (*.f64 x (*.f64 x x)) #s(literal 0 binary64)) x) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 x (*.f64 x eps))) eps)) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (fma.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))) (*.f64 x (*.f64 x x)) #s(literal 0 binary64)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64)))) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))) (*.f64 x (*.f64 x x)) #s(literal 0 binary64)) x) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (/.f64 (*.f64 (*.f64 x eps) (fma.f64 (*.f64 eps eps) (*.f64 x x) #s(literal 0 binary64))) (*.f64 x x)) (/.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))))))) #s(literal 1 binary64)) |
(exp.f64 (-.f64 #s(literal 0 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (+.f64 eps (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 x (fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal -1/6 binary64)) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64)))))) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) #s(literal 1 binary64))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))) #s(literal 1 binary64))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps)) (*.f64 x (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))))))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 eps (fma.f64 eps (*.f64 (*.f64 x x) (fma.f64 (*.f64 eps #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) |
(/.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 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #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))))) #s(literal 2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))) (fma.f64 x (-.f64 (fma.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 #s(literal 1/2 binary64) eps #s(literal 1/2 binary64)))) #s(literal -1 binary64)) eps) #s(literal 1 binary64)))) |
| Outputs |
|---|
(*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 eps eps) (*.f64 x (fma.f64 x eps #s(literal -1 binary64))) x) eps) #s(literal 1 binary64)) |
3 calls:
| 44.0ms | (/.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)) |
| 38.0ms | eps |
| 11.0ms | (-.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 |
|---|---|---|
| 91.1% | 2 | eps |
| 94.2% | 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)) |
| 94.2% | 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))))) |
Compiled 63 to 38 computations (39.7% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
x |
(+.f64 x #s(literal 1 binary64)) |
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 2 binary64)) x))) |
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 eps #s(literal 0 binary64) #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) |
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(*.f64 eps (*.f64 x (fma.f64 (*.f64 #s(literal 1/2 binary64) eps) x #s(literal -1/2 binary64)))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (*.f64 x eps) eps)) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x eps) (*.f64 x eps)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 eps eps)) x #s(literal 1 binary64)) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)) eps) x #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 x (*.f64 eps eps) #s(literal 0 binary64))) #s(literal 1 binary64)) |
(fma.f64 eps (*.f64 x (fma.f64 (*.f64 #s(literal 1/2 binary64) eps) x #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x))) |
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 x (*.f64 x eps)) eps (*.f64 x (-.f64 #s(literal 0 binary64) eps))) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (fma.f64 (*.f64 eps eps) (fma.f64 x eps #s(literal -1 binary64)) #s(literal 1 binary64)) eps)) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 eps eps) (*.f64 x (fma.f64 x eps #s(literal -1 binary64))) x) eps) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (fma.f64 eps x #s(literal 0 binary64)) (*.f64 eps (fma.f64 eps x #s(literal -1 binary64))) x) eps) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (fma.f64 eps (-.f64 (fma.f64 x (*.f64 eps eps) #s(literal 0 binary64)) x) #s(literal 0 binary64)) eps)) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 eps eps)) #s(literal 0 binary64)))) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 eps eps (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (fma.f64 eps #s(literal 0 binary64) #s(literal -1 binary64)))) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 x (*.f64 eps eps) #s(literal 0 binary64)))) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 eps (fma.f64 x eps #s(literal 1 binary64)) #s(literal 0 binary64)))) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 x (*.f64 x eps)) eps (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))))) #s(literal 1 binary64)) |
(fma.f64 x (fma.f64 x (*.f64 #s(literal 1/4 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (fma.f64 #s(literal 1/2 binary64) (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(*.f64 (fma.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))) (*.f64 #s(literal 1/2 binary64) x)) |
(fma.f64 (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps))) (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64)) x) (fma.f64 x (*.f64 eps eps) #s(literal 0 binary64))) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (/.f64 (*.f64 x eps) x) (/.f64 (*.f64 eps (fma.f64 x (*.f64 eps eps) #s(literal 0 binary64))) (*.f64 eps eps)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (fma.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64)) (fma.f64 eps (+.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (+.f64 eps #s(literal -1 binary64))) (/.f64 (+.f64 eps #s(literal -1 binary64)) eps))) |
(fma.f64 (fma.f64 (/.f64 (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64)) (fma.f64 eps eps (-.f64 #s(literal 1 binary64) eps))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps))) (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) |
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 x #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) eps) #s(literal 1/2 binary64)) (fma.f64 x (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 eps eps)) eps) (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)))) (fma.f64 eps #s(literal 0 binary64) #s(literal -1 binary64)))) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))) (*.f64 x (*.f64 x x)) #s(literal 0 binary64)) x) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 x (*.f64 x eps))) eps)) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (fma.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))) (*.f64 x (*.f64 x x)) #s(literal 0 binary64)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64)))) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))) (*.f64 x (*.f64 x x)) #s(literal 0 binary64)) x) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (/.f64 (*.f64 (*.f64 x eps) (fma.f64 (*.f64 eps eps) (*.f64 x x) #s(literal 0 binary64))) (*.f64 x x)) (/.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))))))) #s(literal 1 binary64)) |
(exp.f64 (-.f64 #s(literal 0 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (+.f64 eps (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 x (fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal -1/6 binary64)) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64)))))) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) #s(literal 1 binary64))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))) #s(literal 1 binary64))) |
| Outputs |
|---|
(exp.f64 (-.f64 #s(literal 0 binary64) x)) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 eps eps) (*.f64 x (fma.f64 x eps #s(literal -1 binary64))) x) eps) #s(literal 1 binary64)) |
2 calls:
| 10.0ms | (/.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 | (-.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 |
|---|---|---|
| 93.5% | 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)) |
| 93.5% | 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))))) |
Compiled 60 to 36 computations (40% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
x |
(+.f64 x #s(literal 1 binary64)) |
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 2 binary64)) x))) |
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 eps #s(literal 0 binary64) #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) |
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(*.f64 eps (*.f64 x (fma.f64 (*.f64 #s(literal 1/2 binary64) eps) x #s(literal -1/2 binary64)))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (*.f64 x eps) eps)) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x eps) (*.f64 x eps)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 eps eps)) x #s(literal 1 binary64)) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)) eps) x #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 x (*.f64 eps eps) #s(literal 0 binary64))) #s(literal 1 binary64)) |
(fma.f64 eps (*.f64 x (fma.f64 (*.f64 #s(literal 1/2 binary64) eps) x #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x))) |
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 x (*.f64 x eps)) eps (*.f64 x (-.f64 #s(literal 0 binary64) eps))) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (fma.f64 (*.f64 eps eps) (fma.f64 x eps #s(literal -1 binary64)) #s(literal 1 binary64)) eps)) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 eps eps) (*.f64 x (fma.f64 x eps #s(literal -1 binary64))) x) eps) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (fma.f64 eps x #s(literal 0 binary64)) (*.f64 eps (fma.f64 eps x #s(literal -1 binary64))) x) eps) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (fma.f64 eps (-.f64 (fma.f64 x (*.f64 eps eps) #s(literal 0 binary64)) x) #s(literal 0 binary64)) eps)) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 eps eps)) #s(literal 0 binary64)))) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 eps eps (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (fma.f64 eps #s(literal 0 binary64) #s(literal -1 binary64)))) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 x (*.f64 eps eps) #s(literal 0 binary64)))) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 eps (fma.f64 x eps #s(literal 1 binary64)) #s(literal 0 binary64)))) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 x (*.f64 x eps)) eps (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))))) #s(literal 1 binary64)) |
(fma.f64 x (fma.f64 x (*.f64 #s(literal 1/4 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (fma.f64 #s(literal 1/2 binary64) (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(*.f64 (fma.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))) (*.f64 #s(literal 1/2 binary64) x)) |
(fma.f64 (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps))) (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64)) x) (fma.f64 x (*.f64 eps eps) #s(literal 0 binary64))) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (/.f64 (*.f64 x eps) x) (/.f64 (*.f64 eps (fma.f64 x (*.f64 eps eps) #s(literal 0 binary64))) (*.f64 eps eps)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (fma.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64)) (fma.f64 eps (+.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (+.f64 eps #s(literal -1 binary64))) (/.f64 (+.f64 eps #s(literal -1 binary64)) eps))) |
(fma.f64 (fma.f64 (/.f64 (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64)) (fma.f64 eps eps (-.f64 #s(literal 1 binary64) eps))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps))) (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) |
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 x #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) eps) #s(literal 1/2 binary64)) (fma.f64 x (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 eps eps)) eps) (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)))) (fma.f64 eps #s(literal 0 binary64) #s(literal -1 binary64)))) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))) (*.f64 x (*.f64 x x)) #s(literal 0 binary64)) x) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 x (*.f64 x eps))) eps)) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (fma.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))) (*.f64 x (*.f64 x x)) #s(literal 0 binary64)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64)))) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))) (*.f64 x (*.f64 x x)) #s(literal 0 binary64)) x) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (/.f64 (*.f64 (*.f64 x eps) (fma.f64 (*.f64 eps eps) (*.f64 x x) #s(literal 0 binary64))) (*.f64 x x)) (/.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))))))) #s(literal 1 binary64)) |
| Outputs |
|---|
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (*.f64 x eps) eps)) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 eps eps) (*.f64 x (fma.f64 x eps #s(literal -1 binary64))) x) eps) #s(literal 1 binary64)) |
4 calls:
| 22.0ms | x |
| 17.0ms | (-.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))))) |
| 11.0ms | eps |
| 9.0ms | (/.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 |
|---|---|---|
| 77.6% | 2 | x |
| 74.8% | 1 | eps |
| 79.0% | 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)) |
| 79.0% | 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))))) |
Compiled 66 to 40 computations (39.4% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
x |
(+.f64 x #s(literal 1 binary64)) |
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 2 binary64)) x))) |
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 eps #s(literal 0 binary64) #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) |
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(*.f64 eps (*.f64 x (fma.f64 (*.f64 #s(literal 1/2 binary64) eps) x #s(literal -1/2 binary64)))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (*.f64 x eps) eps)) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x eps) (*.f64 x eps)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 eps eps)) x #s(literal 1 binary64)) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)) eps) x #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 x (*.f64 eps eps) #s(literal 0 binary64))) #s(literal 1 binary64)) |
(fma.f64 eps (*.f64 x (fma.f64 (*.f64 #s(literal 1/2 binary64) eps) x #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x))) |
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 x (*.f64 x eps)) eps (*.f64 x (-.f64 #s(literal 0 binary64) eps))) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (fma.f64 (*.f64 eps eps) (fma.f64 x eps #s(literal -1 binary64)) #s(literal 1 binary64)) eps)) #s(literal 1 binary64)) |
| Outputs |
|---|
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (*.f64 x eps) eps)) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (fma.f64 (*.f64 eps eps) (fma.f64 x eps #s(literal -1 binary64)) #s(literal 1 binary64)) eps)) #s(literal 1 binary64)) |
2 calls:
| 5.0ms | (/.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)) |
| 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 |
|---|---|---|
| 78.3% | 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)) |
| 78.3% | 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))))) |
Compiled 60 to 36 computations (40% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
x |
(+.f64 x #s(literal 1 binary64)) |
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 2 binary64)) x))) |
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 eps #s(literal 0 binary64) #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) |
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(*.f64 eps (*.f64 x (fma.f64 (*.f64 #s(literal 1/2 binary64) eps) x #s(literal -1/2 binary64)))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (*.f64 x eps) eps)) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x eps) (*.f64 x eps)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 eps eps)) x #s(literal 1 binary64)) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)) eps) x #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 x (*.f64 eps eps) #s(literal 0 binary64))) #s(literal 1 binary64)) |
(fma.f64 eps (*.f64 x (fma.f64 (*.f64 #s(literal 1/2 binary64) eps) x #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x))) |
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 x (*.f64 x eps)) eps (*.f64 x (-.f64 #s(literal 0 binary64) eps))) #s(literal 1 binary64)) |
| Outputs |
|---|
#s(literal 1 binary64) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 eps eps)) x #s(literal 1 binary64)) |
2 calls:
| 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))))) |
| 5.0ms | (/.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 |
|---|---|---|
| 77.6% | 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)) |
| 77.6% | 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))))) |
Compiled 60 to 36 computations (40% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
x |
(+.f64 x #s(literal 1 binary64)) |
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 2 binary64)) x))) |
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 eps #s(literal 0 binary64) #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) |
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(*.f64 eps (*.f64 x (fma.f64 (*.f64 #s(literal 1/2 binary64) eps) x #s(literal -1/2 binary64)))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (*.f64 x eps) eps)) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x eps) (*.f64 x eps)) #s(literal 1 binary64)) |
| Outputs |
|---|
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (*.f64 x eps) eps)) #s(literal 1 binary64)) |
(*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
4 calls:
| 33.0ms | (-.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))))) |
| 4.0ms | eps |
| 4.0ms | 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)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 72.3% | 1 | eps |
| 74.5% | 2 | x |
| 72.3% | 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)) |
| 72.3% | 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))))) |
Compiled 66 to 40 computations (39.4% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
x |
(+.f64 x #s(literal 1 binary64)) |
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 2 binary64)) x))) |
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 eps #s(literal 0 binary64) #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) |
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(*.f64 eps (*.f64 x (fma.f64 (*.f64 #s(literal 1/2 binary64) eps) x #s(literal -1/2 binary64)))) |
| Outputs |
|---|
#s(literal 1 binary64) |
(*.f64 eps (*.f64 x (fma.f64 (*.f64 #s(literal 1/2 binary64) eps) x #s(literal -1/2 binary64)))) |
4 calls:
| 10.0ms | eps |
| 4.0ms | x |
| 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))))) |
| 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)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 68.9% | 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)) |
| 68.9% | 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 | eps |
| 67.3% | 3 | x |
Compiled 66 to 40 computations (39.4% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
x |
(+.f64 x #s(literal 1 binary64)) |
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 2 binary64)) x))) |
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 eps #s(literal 0 binary64) #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) |
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
| Outputs |
|---|
#s(literal 1 binary64) |
(*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
2 calls:
| 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 |
|---|---|---|
| 68.8% | 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)) |
| 68.8% | 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))))) |
Compiled 60 to 36 computations (40% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
x |
(+.f64 x #s(literal 1 binary64)) |
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 2 binary64)) x))) |
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 eps #s(literal 0 binary64) #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) |
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
| Outputs |
|---|
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
4 calls:
| 36.0ms | x |
| 3.0ms | eps |
| 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))))) |
| 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)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 50.0% | 1 | eps |
| 50.0% | 1 | x |
| 50.0% | 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)) |
| 50.0% | 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))))) |
Compiled 66 to 40 computations (39.4% saved)
Total -25.2b remaining (-67.1%)
Threshold costs -25.2b (-67.1%)
| Inputs |
|---|
#s(literal 1 binary64) |
x |
(+.f64 x #s(literal 1 binary64)) |
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 2 binary64)) x))) |
| Outputs |
|---|
#s(literal 1 binary64) |
4 calls:
| 2.0ms | x |
| 2.0ms | eps |
| 2.0ms | (-.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))))) |
| 2.0ms | (/.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 |
|---|---|---|
| 41.3% | 1 | x |
| 41.3% | 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)) |
| 41.3% | 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))))) |
| 41.3% | 1 | eps |
Compiled 66 to 40 computations (39.4% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 2.0 |
Compiled 34 to 24 computations (29.4% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.000002397339292 | +inf |
Compiled 34 to 24 computations (29.4% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.000002397339292 | +inf |
Compiled 34 to 24 computations (29.4% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.000002397339292 | +inf |
Compiled 34 to 24 computations (29.4% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.000002397339292 | +inf |
Compiled 34 to 24 computations (29.4% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.0 | 2.000002397339292 |
Compiled 34 to 24 computations (29.4% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 22.0ms | 1.8092966586103936e-8 | 2.421078534756317e-7 |
| 12.0ms | 42× | 1 | valid |
| 6.0ms | 54× | 0 | valid |
Compiled 184 to 126 computations (31.5% saved)
ival-exp: 4.0ms (26.9% of total)ival-mult: 3.0ms (20.2% of total)ival-sub: 2.0ms (13.4% of total)ival-div: 2.0ms (13.4% of total)ival-add: 1.0ms (6.7% of total)adjust: 1.0ms (6.7% of total)ival-neg: 1.0ms (6.7% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.000002397339292 | +inf |
Compiled 34 to 24 computations (29.4% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.000002397339292 | +inf |
Compiled 34 to 24 computations (29.4% saved)
| 1× | egg-herbie |
| 344× | distribute-lft-neg-in_binary64 |
| 170× | neg-mul-1_binary64 |
| 158× | neg-sub0_binary64 |
| 128× | distribute-rgt-neg-in_binary64 |
| 122× | sub-neg_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 82 | 442 |
| 1 | 137 | 442 |
| 2 | 177 | 426 |
| 3 | 230 | 426 |
| 4 | 288 | 426 |
| 5 | 415 | 426 |
| 6 | 556 | 426 |
| 7 | 697 | 426 |
| 8 | 812 | 426 |
| 9 | 894 | 426 |
| 10 | 937 | 426 |
| 11 | 957 | 426 |
| 12 | 967 | 426 |
| 13 | 970 | 426 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) |
(if (<=.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 0 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x))) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))) |
(if (<=.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 4 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 eps eps) (*.f64 x (fma.f64 x eps #s(literal -1 binary64))) x) eps) #s(literal 1 binary64))) |
(if (<=.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 4 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 eps eps) (*.f64 x (fma.f64 x eps #s(literal -1 binary64))) x) eps) #s(literal 1 binary64))) |
(if (<=.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 4 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (*.f64 x eps) eps)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 eps eps) (*.f64 x (fma.f64 x eps #s(literal -1 binary64))) x) eps) #s(literal 1 binary64))) |
(if (<=.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 4 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (*.f64 x eps) eps)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (fma.f64 (*.f64 eps eps) (fma.f64 x eps #s(literal -1 binary64)) #s(literal 1 binary64)) eps)) #s(literal 1 binary64))) |
(if (<=.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) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 eps eps)) x #s(literal 1 binary64))) |
(if (<=.f64 x #s(literal 4533471823554859/18889465931478580854784 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (*.f64 x eps) eps)) #s(literal 1 binary64)) (*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) |
(if (<=.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 4 binary64)) #s(literal 1 binary64) (*.f64 eps (*.f64 x (fma.f64 (*.f64 #s(literal 1/2 binary64) eps) x #s(literal -1/2 binary64))))) |
(if (<=.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 4 binary64)) #s(literal 1 binary64) (*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) |
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
| Outputs |
|---|
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) |
(if (<=.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 0 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x))) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))) |
(if (<=.f64 (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps)))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))) #s(literal 0 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (+.f64 x (+.f64 x #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps))))) |
(if (<=.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 4 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 eps eps) (*.f64 x (fma.f64 x eps #s(literal -1 binary64))) x) eps) #s(literal 1 binary64))) |
(if (<=.f64 (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps)))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))) #s(literal 4 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (+.f64 x (+.f64 x #s(literal 2 binary64))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 eps eps) (*.f64 x (fma.f64 x eps #s(literal -1 binary64))) x) eps) #s(literal 1 binary64))) |
(if (<=.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 4 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 eps eps) (*.f64 x (fma.f64 x eps #s(literal -1 binary64))) x) eps) #s(literal 1 binary64))) |
(if (<=.f64 (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps)))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))) #s(literal 4 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 eps eps) (*.f64 x (fma.f64 x eps #s(literal -1 binary64))) x) eps) #s(literal 1 binary64))) |
(if (<=.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 4 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (*.f64 x eps) eps)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 eps eps) (*.f64 x (fma.f64 x eps #s(literal -1 binary64))) x) eps) #s(literal 1 binary64))) |
(if (<=.f64 (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps)))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))) #s(literal 4 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 eps (*.f64 x eps))) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 eps eps) (*.f64 x (fma.f64 x eps #s(literal -1 binary64))) x) eps) #s(literal 1 binary64))) |
(if (<=.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 4 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (*.f64 x eps) eps)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (fma.f64 (*.f64 eps eps) (fma.f64 x eps #s(literal -1 binary64)) #s(literal 1 binary64)) eps)) #s(literal 1 binary64))) |
(if (<=.f64 (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps)))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))) #s(literal 4 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 eps (*.f64 x eps))) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (fma.f64 (*.f64 eps eps) (fma.f64 x eps #s(literal -1 binary64)) #s(literal 1 binary64)) eps)) #s(literal 1 binary64))) |
(if (<=.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) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 eps eps)) x #s(literal 1 binary64))) |
(if (<=.f64 (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps)))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)) #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 eps eps) (*.f64 #s(literal 1/2 binary64) x)) x #s(literal 1 binary64))) |
(if (<=.f64 x #s(literal 4533471823554859/18889465931478580854784 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (*.f64 x eps) eps)) #s(literal 1 binary64)) (*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) |
(if (<=.f64 x #s(literal 4533471823554859/18889465931478580854784 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 eps (*.f64 x eps))) #s(literal 1 binary64)) (*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) |
(if (<=.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 4 binary64)) #s(literal 1 binary64) (*.f64 eps (*.f64 x (fma.f64 (*.f64 #s(literal 1/2 binary64) eps) x #s(literal -1/2 binary64))))) |
(if (<=.f64 (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps)))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))) #s(literal 4 binary64)) #s(literal 1 binary64) (*.f64 eps (*.f64 x (fma.f64 (*.f64 #s(literal 1/2 binary64) eps) x #s(literal -1/2 binary64))))) |
(if (<=.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 4 binary64)) #s(literal 1 binary64) (*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) |
(if (<=.f64 (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps)))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))) #s(literal 4 binary64)) #s(literal 1 binary64) (*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) |
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
| 17 148× | accelerator-lowering-fma.f32 |
| 17 148× | accelerator-lowering-fma.f64 |
| 16 366× | accelerator-lowering-fma.f32 |
| 16 366× | accelerator-lowering-fma.f64 |
| 11 442× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 299 | 3116 |
| 1 | 975 | 2807 |
| 2 | 3405 | 2490 |
| 0 | 8361 | 2351 |
| 0 | 589 | 4797 |
| 1 | 1976 | 4390 |
| 2 | 6627 | 4295 |
| 0 | 8580 | 4085 |
| 0 | 44 | 215 |
| 1 | 307 | 195 |
| 2 | 3217 | 191 |
| 0 | 9384 | 182 |
| 0 | 327 | 3712 |
| 1 | 1117 | 3570 |
| 2 | 3452 | 3472 |
| 0 | 8126 | 3280 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 819 to 339 computations (58.6% saved)
(abs eps)
Compiled 1 034 to 252 computations (75.6% saved)
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