
Time bar (total: 7.0s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 100% | 100% | 0% | 0% | 0% | 0% | 0% | 1 |
Compiled 12 to 11 computations (8.3% saved)
| 561.0ms | 1 679× | 2 | valid |
| 393.0ms | 4 148× | 0 | valid |
| 358.0ms | 2 429× | 1 | valid |
ival-exp: 380.0ms (40.1% of total)adjust: 163.0ms (17.2% of total)ival-div: 112.0ms (11.8% of total)ival-mult: 103.0ms (10.9% of total)ival-add: 100.0ms (10.5% of total)ival-sub: 70.0ms (7.4% of total)exact: 10.0ms (1.1% of total)ival-true: 6.0ms (0.6% of total)ival-assert: 3.0ms (0.3% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 131 | 0 | - | 0 | - | (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | (exp.f64 (*.f64 #s(literal -2 binary64) x)) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal -2 binary64) x) |
| 0 | 0 | - | 0 | - | (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) |
| 0 | 0 | - | 0 | - | #s(literal -2 binary64) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
-.f64 | (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) | cancellation | 131 | 1 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 131 | 0 |
| - | 0 | 125 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 131 | 0 | 0 |
| - | 0 | 1 | 124 |
| number | freq |
|---|---|
| 0 | 125 |
| 1 | 131 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 31.0ms | 102× | 2 | valid |
| 29.0ms | 158× | 1 | valid |
| 15.0ms | 252× | 0 | valid |
Compiled 84 to 31 computations (63.1% saved)
ival-exp: 27.0ms (47.6% of total)adjust: 10.0ms (17.6% of total)ival-div: 6.0ms (10.6% of total)ival-sub: 4.0ms (7.1% of total)ival-add: 4.0ms (7.1% of total)ival-mult: 4.0ms (7.1% of total)exact: 1.0ms (1.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 23 |
| 1 | 23 | 21 |
| 2 | 48 | 21 |
| 3 | 123 | 21 |
| 4 | 343 | 21 |
| 5 | 2613 | 21 |
| 0 | 9 | 10 |
| 0 | 14 | 10 |
| 1 | 24 | 10 |
| 2 | 40 | 10 |
| 3 | 83 | 10 |
| 4 | 253 | 10 |
| 5 | 1921 | 10 |
| 6 | 6134 | 10 |
| 0 | 8233 | 10 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) |
| Outputs |
|---|
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) |
Compiled 10 to 9 computations (10% saved)
Compiled 0 to 1 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 52.7% | (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) |
Compiled 10 to 9 computations (10% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (exp.f64 (*.f64 #s(literal -2 binary64) x)) | |
| cost-diff | 0 | (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) | |
| cost-diff | 0 | (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) | |
| cost-diff | 0 | (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 35 |
| 0 | 14 | 35 |
| 1 | 24 | 35 |
| 2 | 40 | 35 |
| 3 | 83 | 35 |
| 4 | 253 | 35 |
| 5 | 1921 | 35 |
| 6 | 6134 | 35 |
| 0 | 8233 | 35 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) |
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) |
#s(literal 2 binary64) |
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) |
#s(literal 1 binary64) |
(exp.f64 (*.f64 #s(literal -2 binary64) x)) |
(*.f64 #s(literal -2 binary64) x) |
#s(literal -2 binary64) |
x |
| Outputs |
|---|
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) |
(/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) |
#s(literal 2 binary64) |
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) |
(+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(exp.f64 (*.f64 #s(literal -2 binary64) x)) |
(pow.f64 (exp.f64 x) #s(literal -2 binary64)) |
(*.f64 #s(literal -2 binary64) x) |
(*.f64 x #s(literal -2 binary64)) |
#s(literal -2 binary64) |
x |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (exp.f64 (*.f64 #s(literal -2 binary64) x)) | |
| accuracy | 0.0078125 | (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) | |
| accuracy | 0.0078125 | (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) | |
| accuracy | 30.20674971259159 | (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) |
| 15.0ms | 51× | 2 | valid |
| 13.0ms | 79× | 1 | valid |
| 7.0ms | 126× | 0 | valid |
Compiled 37 to 11 computations (70.3% saved)
ival-exp: 11.0ms (42.5% of total)adjust: 5.0ms (19.3% of total)ival-div: 3.0ms (11.6% of total)ival-sub: 2.0ms (7.7% of total)ival-add: 2.0ms (7.7% of total)ival-mult: 2.0ms (7.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) |
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) |
(exp.f64 (*.f64 #s(literal -2 binary64) x)) |
| Outputs |
|---|
x |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* -1/3 (pow x 2))))) |
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))) |
2 |
(+ 2 (* -2 x)) |
(+ 2 (* x (- (* 2 x) 2))) |
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2))) |
(+ 1 (* -2 x)) |
(+ 1 (* x (- (* 2 x) 2))) |
(+ 1 (* x (- (* x (+ 2 (* -4/3 x))) 2))) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(+ 1 (exp (* -2 x))) |
(exp (* -2 x)) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | ((- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (exp (* -2 x))) |
| 1.0ms | x | @ | -inf | ((- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (exp (* -2 x))) |
| 1.0ms | x | @ | 0 | ((- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (exp (* -2 x))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 161 |
| 1 | 146 | 161 |
| 2 | 393 | 151 |
| 3 | 1320 | 151 |
| 4 | 3176 | 151 |
| 5 | 7220 | 151 |
| 0 | 8240 | 137 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* -1/3 (pow x 2))))) |
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))) |
2 |
(+ 2 (* -2 x)) |
(+ 2 (* x (- (* 2 x) 2))) |
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2))) |
(+ 1 (* -2 x)) |
(+ 1 (* x (- (* 2 x) 2))) |
(+ 1 (* x (- (* x (+ 2 (* -4/3 x))) 2))) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(+ 1 (exp (* -2 x))) |
(exp (* -2 x)) |
| Outputs |
|---|
x |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -17/315 binary64) (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64))) x) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(+ 1 (* x (+ 1 (* -1/3 (pow x 2))))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x)) |
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) (+.f64 #s(literal 1 binary64) x)) |
2 |
#s(literal 2 binary64) |
(+ 2 (* -2 x)) |
(fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) |
(+ 2 (* x (- (* 2 x) 2))) |
(fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x #s(literal 2 binary64)) |
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2))) |
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) x #s(literal 2 binary64)) |
(+ 1 (* -2 x)) |
(fma.f64 #s(literal -2 binary64) x #s(literal 1 binary64)) |
(+ 1 (* x (- (* 2 x) 2))) |
(fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (- (* x (+ 2 (* -4/3 x))) 2))) |
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) x #s(literal 1 binary64)) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) |
(+ 1 (exp (* -2 x))) |
(+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) |
(exp (* -2 x)) |
(pow.f64 (exp.f64 x) #s(literal -2 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 28 |
| 0 | 14 | 28 |
| 1 | 51 | 28 |
| 2 | 344 | 28 |
| 3 | 4337 | 28 |
| 0 | 9529 | 27 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) |
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) |
(exp.f64 (*.f64 #s(literal -2 binary64) x)) |
| Outputs |
|---|
(*.f64 (/.f64 (expm1.f64 (*.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal -2 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))))) |
(*.f64 (/.f64 (expm1.f64 (*.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal -2 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) #s(literal 3 binary64)))) (fma.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) (expm1.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))))) #s(literal 1 binary64))) |
(*.f64 (/.f64 (expm1.f64 (*.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) #s(literal 3 binary64))) (-.f64 (pow.f64 (/.f64 #s(literal -2 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))))) #s(literal 2 binary64)))) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) #s(literal 1 binary64))) |
(*.f64 (/.f64 (expm1.f64 (*.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -2 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) #s(literal 6 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))))) (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))))) (pow.f64 (/.f64 #s(literal -2 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal -2 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) #s(literal 4 binary64)))) |
(*.f64 (/.f64 (expm1.f64 (*.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) #s(literal 2 binary64))) (expm1.f64 (*.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) #s(literal 2 binary64)))) (expm1.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)))))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))))) (expm1.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))))) (/.f64 (expm1.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 #s(literal -2 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))))) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))))) #s(literal -2 binary64))) (+.f64 (/.f64 (pow.f64 (/.f64 #s(literal -2 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))))) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))))) #s(literal -1 binary64)))) |
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(-.f64 (-.f64 #s(literal 1 binary64) (cosh.f64 (*.f64 x #s(literal 2 binary64)))) (sinh.f64 (*.f64 x #s(literal -2 binary64)))) |
(-.f64 (pow.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -4 binary64)) (expm1.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal -1 binary64)) (/.f64 (pow.f64 (exp.f64 #s(literal -6 binary64)) x) (-.f64 (pow.f64 (exp.f64 x) #s(literal -4 binary64)) (expm1.f64 (*.f64 x #s(literal -2 binary64)))))) |
(-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 (exp.f64 x) #s(literal -4 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))))) |
(-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) |
(-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) |
(+.f64 (neg.f64 (neg.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) #s(literal 1 binary64)) |
(+.f64 (+.f64 (sinh.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)) (cosh.f64 (*.f64 x #s(literal 2 binary64)))) |
(+.f64 (+.f64 (cosh.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) (sinh.f64 (*.f64 x #s(literal -2 binary64)))) |
(+.f64 (/.f64 (pow.f64 (exp.f64 #s(literal -6 binary64)) x) (-.f64 (pow.f64 (exp.f64 x) #s(literal -4 binary64)) (expm1.f64 (*.f64 x #s(literal -2 binary64))))) (pow.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -4 binary64)) (expm1.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal -1 binary64))) |
(+.f64 (pow.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -4 binary64)) (expm1.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal -1 binary64)) (/.f64 (pow.f64 (exp.f64 #s(literal -6 binary64)) x) (-.f64 (pow.f64 (exp.f64 x) #s(literal -4 binary64)) (expm1.f64 (*.f64 x #s(literal -2 binary64)))))) |
(+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -1 binary64)) (/.f64 (neg.f64 (pow.f64 (exp.f64 x) #s(literal -4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))))) |
(+.f64 (sinh.f64 (*.f64 x #s(literal -2 binary64))) (+.f64 (cosh.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))) |
(+.f64 (cosh.f64 (*.f64 x #s(literal 2 binary64))) (+.f64 (sinh.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))) |
(+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))))) |
(+.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) |
(+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) |
(*.f64 (pow.f64 (neg.f64 (exp.f64 #s(literal -2 binary64))) (/.f64 x #s(literal 2 binary64))) (pow.f64 (neg.f64 (exp.f64 #s(literal -2 binary64))) (/.f64 x #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (fabs.f64 (exp.f64 #s(literal -2 binary64))) (/.f64 x #s(literal 2 binary64))) (pow.f64 (fabs.f64 (exp.f64 #s(literal -2 binary64))) (/.f64 x #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (neg.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (fabs.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)) (pow.f64 (fabs.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (*.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x #s(literal 2 binary64)))) (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (exp.f64 x) #s(literal -1 binary64)) (pow.f64 (exp.f64 x) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x #s(literal 2 binary64)))) (neg.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x #s(literal 2 binary64))))) |
(*.f64 (fabs.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x #s(literal 2 binary64)))) (fabs.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x #s(literal 2 binary64))))) |
(*.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x #s(literal 2 binary64))) (*.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) |
(pow.f64 (pow.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) |
(pow.f64 (fabs.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x)) #s(literal -1 binary64)) |
(pow.f64 (fabs.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 x) #s(literal -2 binary64)) |
(pow.f64 (exp.f64 #s(literal -4 binary64)) (*.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) |
(pow.f64 (exp.f64 #s(literal -4 binary64)) (/.f64 x #s(literal 2 binary64))) |
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (exp.f64 x) #s(literal -4 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (exp.f64 #s(literal -2 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))) |
(pow.f64 (exp.f64 #s(literal -2 binary64)) (*.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))) |
(pow.f64 (exp.f64 #s(literal -2 binary64)) (*.f64 x #s(literal 1 binary64))) |
(pow.f64 (exp.f64 #s(literal -2 binary64)) (*.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) |
(pow.f64 (exp.f64 #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64)))) |
(pow.f64 (exp.f64 #s(literal -2 binary64)) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64)))) |
(pow.f64 (exp.f64 #s(literal -2 binary64)) x) |
(pow.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) |
(/.f64 (exp.f64 (log.f64 (+.f64 (pow.f64 (sinh.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))))) (exp.f64 (log.f64 (-.f64 (cosh.f64 (*.f64 #s(literal -4 binary64) x)) (*.f64 (sinh.f64 (*.f64 x #s(literal -2 binary64))) (cosh.f64 (*.f64 x #s(literal 2 binary64)))))))) |
(/.f64 (-.f64 (pow.f64 (sinh.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (cosh.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (-.f64 (sinh.f64 (*.f64 x #s(literal -2 binary64))) (cosh.f64 (*.f64 x #s(literal 2 binary64))))) |
(/.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64)) |
(/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (sinh.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))) (neg.f64 (-.f64 (cosh.f64 (*.f64 #s(literal -4 binary64) x)) (*.f64 (sinh.f64 (*.f64 x #s(literal -2 binary64))) (cosh.f64 (*.f64 x #s(literal 2 binary64))))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sinh.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))) (-.f64 (cosh.f64 (*.f64 #s(literal -4 binary64) x)) (*.f64 (sinh.f64 (*.f64 x #s(literal -2 binary64))) (cosh.f64 (*.f64 x #s(literal 2 binary64)))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (sinh.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))) #s(literal 1 binary64)) (-.f64 (cosh.f64 (*.f64 #s(literal -4 binary64) x)) (*.f64 (sinh.f64 (*.f64 x #s(literal -2 binary64))) (cosh.f64 (*.f64 x #s(literal 2 binary64)))))) |
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 2 binary64)))))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x #s(literal -2 binary64)))))) #s(literal 4 binary64)) |
(/.f64 (fabs.f64 (+.f64 (pow.f64 (sinh.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))) (fabs.f64 (-.f64 (cosh.f64 (*.f64 #s(literal -4 binary64) x)) (*.f64 (sinh.f64 (*.f64 x #s(literal -2 binary64))) (cosh.f64 (*.f64 x #s(literal 2 binary64))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x))) |
(/.f64 (+.f64 (pow.f64 (sinh.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (sinh.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (cosh.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (sinh.f64 (*.f64 x #s(literal -2 binary64))) (cosh.f64 (*.f64 x #s(literal 2 binary64))))))) |
(/.f64 (+.f64 (pow.f64 (sinh.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))) (-.f64 (cosh.f64 (*.f64 #s(literal -4 binary64) x)) (*.f64 (sinh.f64 (*.f64 x #s(literal -2 binary64))) (cosh.f64 (*.f64 x #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (fabs.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 2 binary64)) x)) |
(fma.f64 (sinh.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1 binary64) (cosh.f64 (*.f64 x #s(literal 2 binary64)))) |
(fma.f64 (cosh.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 1 binary64) (sinh.f64 (*.f64 x #s(literal -2 binary64)))) |
(fma.f64 #s(literal 1 binary64) (sinh.f64 (*.f64 x #s(literal -2 binary64))) (cosh.f64 (*.f64 x #s(literal 2 binary64)))) |
(fma.f64 #s(literal 1 binary64) (cosh.f64 (*.f64 x #s(literal 2 binary64))) (sinh.f64 (*.f64 x #s(literal -2 binary64)))) |
(sqrt.f64 (pow.f64 (exp.f64 x) #s(literal -4 binary64))) |
(-.f64 (/.f64 (pow.f64 (cosh.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (exp.f64 #s(literal 2 binary64)) x)) (/.f64 (pow.f64 (sinh.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (exp.f64 #s(literal 2 binary64)) x))) |
(-.f64 (cosh.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (sinh.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))) |
(-.f64 (cosh.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (sinh.f64 (*.f64 x #s(literal -2 binary64))))) |
(-.f64 (cosh.f64 (*.f64 x #s(literal 2 binary64))) (sinh.f64 (*.f64 x #s(literal 2 binary64)))) |
(fabs.f64 (neg.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) |
(fabs.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))) |
(exp.f64 (/.f64 (*.f64 #s(literal -4 binary64) x) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 #s(literal -4 binary64) (/.f64 x #s(literal 2 binary64)))) |
(exp.f64 (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64))))) |
(exp.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64))))) |
(exp.f64 (*.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 x #s(literal -2 binary64))) |
(+.f64 (/.f64 (pow.f64 (cosh.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) (-.f64 (cosh.f64 (*.f64 #s(literal -4 binary64) x)) (*.f64 (sinh.f64 (*.f64 x #s(literal -2 binary64))) (cosh.f64 (*.f64 x #s(literal 2 binary64)))))) (/.f64 (pow.f64 (sinh.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 3 binary64)) (-.f64 (cosh.f64 (*.f64 #s(literal -4 binary64) x)) (*.f64 (sinh.f64 (*.f64 x #s(literal -2 binary64))) (cosh.f64 (*.f64 x #s(literal 2 binary64))))))) |
(+.f64 (sinh.f64 (*.f64 x #s(literal -2 binary64))) (cosh.f64 (*.f64 x #s(literal 2 binary64)))) |
(+.f64 (cosh.f64 (*.f64 x #s(literal 2 binary64))) (sinh.f64 (*.f64 x #s(literal -2 binary64)))) |
Compiled 6 741 to 1 136 computations (83.1% saved)
9 alts after pruning (8 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 256 | 8 | 264 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 256 | 9 | 265 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 52.7% | (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) |
| 29.8% | (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (exp (* -2 x)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) x #s(literal 1 binary64))))) #s(literal 1 binary64)) | |
| ▶ | 29.8% | (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64)) |
| 29.6% | (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64)) | |
| ▶ | 29.1% | (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64)) |
| 6.7% | (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) | |
| ▶ | 4.4% | (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64)) |
| ▶ | 53.3% | #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x)) |
| ▶ | 51.8% | #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)) |
Compiled 298 to 235 computations (21.1% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (pow.f64 x #s(literal 3 binary64)) | |
| cost-diff | 0 | (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x) | |
| cost-diff | 0 | #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)) | |
| cost-diff | 0 | (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) x #s(literal 2 binary64)) | |
| cost-diff | 0 | #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) x #s(literal 2 binary64))) | |
| cost-diff | 0 | (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) x #s(literal 2 binary64)))) | |
| cost-diff | 0 | (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64)) | |
| cost-diff | 0 | (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) | |
| cost-diff | 0 | #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))) | |
| cost-diff | 0 | (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) | |
| cost-diff | 0 | (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) | |
| cost-diff | 0 | (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64)) | |
| cost-diff | 0 | (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) | |
| cost-diff | 0 | (pow.f64 x #s(literal 3 binary64)) | |
| cost-diff | 0 | (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x) | |
| cost-diff | 0 | #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 249 |
| 0 | 55 | 249 |
| 1 | 84 | 249 |
| 2 | 180 | 249 |
| 3 | 518 | 249 |
| 4 | 1264 | 249 |
| 5 | 3208 | 249 |
| 0 | 8010 | 249 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x)) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x) |
(pow.f64 x #s(literal 3 binary64)) |
x |
#s(literal 3 binary64) |
(-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) |
(*.f64 #s(literal 2/15 binary64) (*.f64 x x)) |
#s(literal 2/15 binary64) |
(*.f64 x x) |
#s(literal 1/3 binary64) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64)) |
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) |
#s(literal 2 binary64) |
#s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))) |
(fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) |
#s(literal -2 binary64) |
x |
#s(literal 1 binary64) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) x #s(literal 2 binary64)))) |
#s(literal 2 binary64) |
#s(approx (+ 1 (exp (* -2 x))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) x #s(literal 2 binary64))) |
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) x #s(literal 2 binary64)) |
(-.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) |
(*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) |
(fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) |
#s(literal -4/3 binary64) |
x |
#s(literal 1 binary64) |
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x) |
(pow.f64 x #s(literal 3 binary64)) |
x |
#s(literal 3 binary64) |
#s(literal -1/3 binary64) |
| Outputs |
|---|
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x)) |
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x)) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x) |
(fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x) |
(pow.f64 x #s(literal 3 binary64)) |
x |
#s(literal 3 binary64) |
(-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) |
(-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) |
(*.f64 #s(literal 2/15 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x x) #s(literal 2/15 binary64)) |
#s(literal 2/15 binary64) |
(*.f64 x x) |
#s(literal 1/3 binary64) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64)) |
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) |
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)))) |
#s(literal 2 binary64) |
#s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))) |
#s(approx (+ 1 (exp (* -2 x))) (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))) |
(fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) |
(fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) |
#s(literal -2 binary64) |
x |
#s(literal 1 binary64) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) x #s(literal 2 binary64)))) |
#s(literal 2 binary64) |
#s(approx (+ 1 (exp (* -2 x))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) x #s(literal 2 binary64))) |
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) x #s(literal 2 binary64)) |
(-.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) |
(*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) |
(fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) |
#s(literal -4/3 binary64) |
x |
#s(literal 1 binary64) |
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)) |
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x)) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x) |
(fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x) |
(pow.f64 x #s(literal 3 binary64)) |
x |
#s(literal 3 binary64) |
#s(literal -1/3 binary64) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (pow.f64 x #s(literal 3 binary64)) | |
| accuracy | 0.0390625 | (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x) | |
| accuracy | 30.849567602953353 | #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)) | |
| accuracy | 0.05078125 | (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) | |
| accuracy | 0.18359375 | (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) | |
| accuracy | 19.488913794582043 | #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) x #s(literal 2 binary64))) | |
| accuracy | 30.20674971259159 | (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64)) | |
| accuracy | 0.0 | (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) | |
| accuracy | 0.0078125 | (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) | |
| accuracy | 30.20674971259159 | (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64)) | |
| accuracy | 30.299421287294912 | #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))) | |
| accuracy | 28.358448550911525 | #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) | |
| accuracy | 30.20674971259159 | (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64)) | |
| accuracy | 0.00390625 | (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) | |
| accuracy | 0.056972509768442016 | (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x) | |
| accuracy | 0.13671875 | (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) | |
| accuracy | 29.9187668564551 | #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x)) |
| 45.0ms | 51× | 2 | valid |
| 44.0ms | 126× | 0 | valid |
| 40.0ms | 79× | 1 | valid |
Compiled 184 to 31 computations (83.2% saved)
ival-mult: 29.0ms (27% of total)adjust: 28.0ms (26.1% of total)ival-exp: 15.0ms (14% of total)const: 13.0ms (12.1% of total)ival-add: 8.0ms (7.5% of total)ival-sub: 5.0ms (4.7% of total)ival-pow: 5.0ms (4.7% of total)ival-div: 3.0ms (2.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x)) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x) |
(pow.f64 x #s(literal 3 binary64)) |
(-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64)) |
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) |
#s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))) |
(fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) x #s(literal 2 binary64)))) |
#s(approx (+ 1 (exp (* -2 x))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) x #s(literal 2 binary64))) |
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) x #s(literal 2 binary64)) |
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x) |
(*.f64 #s(literal 2/15 binary64) (*.f64 x x)) |
(fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) |
(*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) |
| Outputs |
|---|
x |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))) |
(pow x 3) |
-1/3 |
(- (* 2/15 (pow x 2)) 1/3) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* -1/3 (pow x 2))))) |
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))) |
2 |
(+ 2 (* -2 x)) |
(+ 2 (* x (- (* 2 x) 2))) |
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2))) |
(* 2/15 (pow x 2)) |
(+ 2 (* -4/3 x)) |
(* 2 x) |
(* x (+ 2 (* -4/3 x))) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(* 2/15 (pow x 5)) |
(* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(+ 1 (exp (* -2 x))) |
(* -2 x) |
(* x (- (* 2 (/ 1 x)) 2)) |
(* -4/3 (pow x 3)) |
(* (pow x 3) (- (* 2 (/ 1 x)) 4/3)) |
(* (pow x 3) (- (* 2 (/ 1 x)) (+ 4/3 (/ 2 (pow x 2))))) |
(* (pow x 3) (- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 4/3 (/ 2 (pow x 2))))) |
(* -1/3 (pow x 3)) |
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3)) |
(* -4/3 x) |
(* x (- (* 2 (/ 1 x)) 4/3)) |
(* -4/3 (pow x 2)) |
(* (pow x 2) (- (* 2 (/ 1 x)) 4/3)) |
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15))) |
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4)))))) |
(* -1 (* x (- 2 (* 2 (/ 1 x))))) |
(* -1 (* (pow x 3) (- 4/3 (* 2 (/ 1 x))))) |
(* -1 (* (pow x 3) (+ 4/3 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))))) |
(* -1 (* (pow x 3) (+ 4/3 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) x))))) |
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2))))) |
(* -1 (* x (- 4/3 (* 2 (/ 1 x))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 16.0ms | x | @ | -inf | ((- (/ 2 (+ 1 (exp (* -2 x)))) 1) (+ (* (pow x 3) (- (* 2/15 (* x x)) 1/3)) x) (pow x 3) (- (* 2/15 (* x x)) 1/3) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* -2 x) 2) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* (- (* (+ (* -4/3 x) 2) x) 2) x) 2) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (+ (* (pow x 3) -1/3) x) (* 2/15 (* x x)) (+ (* -4/3 x) 2) (* (+ (* -4/3 x) 2) x)) |
| 3.0ms | x | @ | inf | ((- (/ 2 (+ 1 (exp (* -2 x)))) 1) (+ (* (pow x 3) (- (* 2/15 (* x x)) 1/3)) x) (pow x 3) (- (* 2/15 (* x x)) 1/3) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* -2 x) 2) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* (- (* (+ (* -4/3 x) 2) x) 2) x) 2) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (+ (* (pow x 3) -1/3) x) (* 2/15 (* x x)) (+ (* -4/3 x) 2) (* (+ (* -4/3 x) 2) x)) |
| 2.0ms | x | @ | 0 | ((- (/ 2 (+ 1 (exp (* -2 x)))) 1) (+ (* (pow x 3) (- (* 2/15 (* x x)) 1/3)) x) (pow x 3) (- (* 2/15 (* x x)) 1/3) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* -2 x) 2) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* (- (* (+ (* -4/3 x) 2) x) 2) x) 2) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (+ (* (pow x 3) -1/3) x) (* 2/15 (* x x)) (+ (* -4/3 x) 2) (* (+ (* -4/3 x) 2) x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 114 | 399 |
| 1 | 320 | 381 |
| 2 | 1035 | 380 |
| 3 | 4069 | 372 |
| 0 | 8277 | 343 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))) |
(pow x 3) |
-1/3 |
(- (* 2/15 (pow x 2)) 1/3) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* -1/3 (pow x 2))))) |
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))) |
2 |
(+ 2 (* -2 x)) |
(+ 2 (* x (- (* 2 x) 2))) |
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2))) |
(* 2/15 (pow x 2)) |
(+ 2 (* -4/3 x)) |
(* 2 x) |
(* x (+ 2 (* -4/3 x))) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(* 2/15 (pow x 5)) |
(* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(+ 1 (exp (* -2 x))) |
(* -2 x) |
(* x (- (* 2 (/ 1 x)) 2)) |
(* -4/3 (pow x 3)) |
(* (pow x 3) (- (* 2 (/ 1 x)) 4/3)) |
(* (pow x 3) (- (* 2 (/ 1 x)) (+ 4/3 (/ 2 (pow x 2))))) |
(* (pow x 3) (- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 4/3 (/ 2 (pow x 2))))) |
(* -1/3 (pow x 3)) |
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3)) |
(* -4/3 x) |
(* x (- (* 2 (/ 1 x)) 4/3)) |
(* -4/3 (pow x 2)) |
(* (pow x 2) (- (* 2 (/ 1 x)) 4/3)) |
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15))) |
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4)))))) |
(* -1 (* x (- 2 (* 2 (/ 1 x))))) |
(* -1 (* (pow x 3) (- 4/3 (* 2 (/ 1 x))))) |
(* -1 (* (pow x 3) (+ 4/3 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))))) |
(* -1 (* (pow x 3) (+ 4/3 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) x))))) |
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2))))) |
(* -1 (* x (- 4/3 (* 2 (/ 1 x))))) |
| Outputs |
|---|
x |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -17/315 binary64) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64))) x) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
-1/3 |
#s(literal -1/3 binary64) |
(- (* 2/15 (pow x 2)) 1/3) |
(fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
(+ 1 (* x (+ 1 (* -1/3 (pow x 2))))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 x #s(literal 1 binary64))) |
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))) |
(+.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1 binary64)) x) |
2 |
#s(literal 2 binary64) |
(+ 2 (* -2 x)) |
(fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) |
(+ 2 (* x (- (* 2 x) 2))) |
(fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) x #s(literal 2 binary64)) |
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2))) |
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) x #s(literal 2 binary64)) |
(* 2/15 (pow x 2)) |
(*.f64 #s(literal 2/15 binary64) (*.f64 x x)) |
(+ 2 (* -4/3 x)) |
(fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* x (+ 2 (* -4/3 x))) |
(*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(* 2/15 (pow x 5)) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 2/15 binary64)) |
(* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(*.f64 (-.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))) |
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2))))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 2/15 binary64))) (pow.f64 x #s(literal 5 binary64))) |
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) |
(+ 1 (exp (* -2 x))) |
(+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) |
(* -2 x) |
(*.f64 x #s(literal -2 binary64)) |
(* x (- (* 2 (/ 1 x)) 2)) |
(*.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) |
(* -4/3 (pow x 3)) |
(*.f64 #s(literal -4/3 binary64) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (- (* 2 (/ 1 x)) 4/3)) |
(*.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 4/3 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (- (* 2 (/ 1 x)) (+ 4/3 (/ 2 (pow x 2))))) |
(*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) x) |
(* (pow x 3) (- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 4/3 (/ 2 (pow x 2))))) |
(fma.f64 #s(literal -4/3 binary64) (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 2 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)))) |
(* -1/3 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)) |
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3)) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* -4/3 x) |
(*.f64 #s(literal -4/3 binary64) x) |
(* x (- (* 2 (/ 1 x)) 4/3)) |
(*.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 4/3 binary64)) x) |
(* -4/3 (pow x 2)) |
(*.f64 #s(literal -4/3 binary64) (*.f64 x x)) |
(* (pow x 2) (- (* 2 (/ 1 x)) 4/3)) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 4/3 binary64)) x) x) |
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15))) |
(*.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 2/15 binary64))) (pow.f64 x #s(literal 5 binary64))) |
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4)))))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 2/15 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) |
(* -1 (* x (- 2 (* 2 (/ 1 x))))) |
(fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) |
(* -1 (* (pow x 3) (- 4/3 (* 2 (/ 1 x))))) |
(*.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x) |
(* -1 (* (pow x 3) (+ 4/3 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))))) |
(*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) x) |
(* -1 (* (pow x 3) (+ 4/3 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) x))))) |
(fma.f64 #s(literal -4/3 binary64) (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 2 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)))) |
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* -1 (* x (- 4/3 (* 2 (/ 1 x))))) |
(fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 219 |
| 0 | 55 | 219 |
| 1 | 230 | 219 |
| 2 | 1702 | 219 |
| 0 | 8858 | 219 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x)) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x) |
(pow.f64 x #s(literal 3 binary64)) |
(-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64)) |
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) |
#s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))) |
(fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) x #s(literal 2 binary64)))) |
#s(approx (+ 1 (exp (* -2 x))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) x #s(literal 2 binary64))) |
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) x #s(literal 2 binary64)) |
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x) |
(*.f64 #s(literal 2/15 binary64) (*.f64 x x)) |
(fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) |
(*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) |
| Outputs |
|---|
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64))) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64))) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64))) x)) (/.f64 (*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64))) x)) (fma.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64))) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64))) x)) (*.f64 (/.f64 (*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64))) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64))) x)))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64))) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (*.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64))) (pow.f64 x #s(literal 3 binary64))) (*.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64))) (pow.f64 x #s(literal 3 binary64))) (*.f64 x (*.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64))) (pow.f64 x #s(literal 3 binary64))))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 9 binary64)))) (fma.f64 x x (fma.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 4 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 9 binary64))) (fma.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 9 binary64))) (fma.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x)))) (/.f64 (*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 9 binary64))) (fma.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x)))) (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x))))) (*.f64 (/.f64 (*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 9 binary64))) (fma.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x)))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (neg.f64 x))))) (neg.f64 (neg.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64))) x)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64))) x)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64))) x) (*.f64 x x))) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64))) x) (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64))) x))) |
(/.f64 (fma.f64 (*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 9 binary64))) (fma.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x))) (*.f64 (fma.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x))) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (fma.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x))) (fma.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x))))) |
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(+.f64 (/.f64 (*.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 9 binary64))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/9 binary64) (*.f64 x (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/9 binary64) (*.f64 x (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x))))) |
(+.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/9 binary64)) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))) x)) (/.f64 (*.f64 x (neg.f64 x)) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))) x))) |
(+.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/9 binary64)) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))) x)) (/.f64 (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))) x))) |
(+.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/9 binary64)) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))) x)) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))) x))) |
(+.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))) x) |
(+.f64 x (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)))) |
(*.f64 (fabs.f64 (*.f64 #s(literal 2/15 binary64) (neg.f64 x))) x) |
(*.f64 (fabs.f64 (*.f64 #s(literal 2/15 binary64) x)) x) |
(*.f64 (*.f64 #s(literal 2/15 binary64) (neg.f64 x)) (neg.f64 x)) |
(*.f64 (*.f64 #s(literal 2/15 binary64) x) x) |
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 2/15 binary64))) |
(*.f64 (*.f64 x x) #s(literal 2/15 binary64)) |
(*.f64 #s(literal 2/15 binary64) (*.f64 x x)) |
(*.f64 x (fabs.f64 (*.f64 (neg.f64 x) #s(literal 2/15 binary64)))) |
(*.f64 x (fabs.f64 (*.f64 #s(literal 2/15 binary64) x))) |
(*.f64 x (*.f64 #s(literal 2/15 binary64) x)) |
(sqrt.f64 (*.f64 #s(literal 4/225 binary64) (pow.f64 x #s(literal 4 binary64)))) |
(fabs.f64 (neg.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))) |
(fabs.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 16/9 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal -4/3 binary64) x) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 4 binary64) (-.f64 (*.f64 #s(literal -4/3 binary64) x) #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 16/9 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal -4/3 binary64) x) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 16/9 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal -4/3 binary64) x) #s(literal 2 binary64))) (fma.f64 (/.f64 #s(literal 4 binary64) (-.f64 (*.f64 #s(literal -4/3 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (-.f64 (*.f64 #s(literal -4/3 binary64) x) #s(literal 2 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 16/9 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal -4/3 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (-.f64 (*.f64 #s(literal -4/3 binary64) x) #s(literal 2 binary64))))))) |
(/.f64 (-.f64 #s(literal 8 binary64) (pow.f64 (*.f64 #s(literal 4/3 binary64) x) #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (fma.f64 #s(literal 16/9 binary64) (*.f64 x x) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 4/3 binary64) x))))) |
(/.f64 (-.f64 #s(literal 8 binary64) (pow.f64 (*.f64 (neg.f64 x) #s(literal -4/3 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (fma.f64 (*.f64 (neg.f64 x) #s(literal -4/3 binary64)) (*.f64 (neg.f64 x) #s(literal -4/3 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 x) #s(literal -4/3 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 #s(literal -64/27 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 16/9 binary64) (*.f64 x x) (-.f64 #s(literal 4 binary64) (*.f64 x #s(literal -8/3 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 8 binary64) (fma.f64 #s(literal 16/9 binary64) (*.f64 x x) (-.f64 #s(literal 4 binary64) (*.f64 x #s(literal -8/3 binary64))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal -64/27 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 16/9 binary64) (*.f64 x x) (-.f64 #s(literal 4 binary64) (*.f64 x #s(literal -8/3 binary64))))) (/.f64 (*.f64 #s(literal -64/27 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 16/9 binary64) (*.f64 x x) (-.f64 #s(literal 4 binary64) (*.f64 x #s(literal -8/3 binary64))))) (-.f64 (*.f64 (/.f64 #s(literal 8 binary64) (fma.f64 #s(literal 16/9 binary64) (*.f64 x x) (-.f64 #s(literal 4 binary64) (*.f64 x #s(literal -8/3 binary64))))) (/.f64 #s(literal 8 binary64) (fma.f64 #s(literal 16/9 binary64) (*.f64 x x) (-.f64 #s(literal 4 binary64) (*.f64 x #s(literal -8/3 binary64)))))) (*.f64 (/.f64 (*.f64 #s(literal -64/27 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 16/9 binary64) (*.f64 x x) (-.f64 #s(literal 4 binary64) (*.f64 x #s(literal -8/3 binary64))))) (/.f64 #s(literal 8 binary64) (fma.f64 #s(literal 16/9 binary64) (*.f64 x x) (-.f64 #s(literal 4 binary64) (*.f64 x #s(literal -8/3 binary64))))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 16/9 binary64) (*.f64 x x)))) (neg.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal -4/3 binary64) x)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal 16/9 binary64) (*.f64 x x)) #s(literal 4 binary64)))) (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal -4/3 binary64) x) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -64/27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 16/9 binary64) (*.f64 x x) (-.f64 #s(literal 4 binary64) (*.f64 x #s(literal -8/3 binary64))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 16/9 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal -4/3 binary64) x) #s(literal 2 binary64))) (*.f64 (-.f64 (*.f64 #s(literal -4/3 binary64) x) #s(literal 2 binary64)) #s(literal 4 binary64))) (*.f64 (-.f64 (*.f64 #s(literal -4/3 binary64) x) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -4/3 binary64) x) #s(literal 2 binary64)))) |
(/.f64 (fma.f64 (*.f64 #s(literal -64/27 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 16/9 binary64) (*.f64 x x) (-.f64 #s(literal 4 binary64) (*.f64 x #s(literal -8/3 binary64)))) (*.f64 (fma.f64 #s(literal 16/9 binary64) (*.f64 x x) (-.f64 #s(literal 4 binary64) (*.f64 x #s(literal -8/3 binary64)))) #s(literal 8 binary64))) (*.f64 (fma.f64 #s(literal 16/9 binary64) (*.f64 x x) (-.f64 #s(literal 4 binary64) (*.f64 x #s(literal -8/3 binary64)))) (fma.f64 #s(literal 16/9 binary64) (*.f64 x x) (-.f64 #s(literal 4 binary64) (*.f64 x #s(literal -8/3 binary64)))))) |
(/.f64 (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 16/9 binary64) (*.f64 x x))) (-.f64 #s(literal 2 binary64) (*.f64 #s(literal -4/3 binary64) x))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 16/9 binary64) (*.f64 x x)) #s(literal 4 binary64))) (neg.f64 (-.f64 (*.f64 #s(literal -4/3 binary64) x) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -64/27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64))) (neg.f64 (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 #s(literal 16/9 binary64) (*.f64 x x)) (*.f64 x #s(literal -8/3 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -64/27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64))) (neg.f64 (fma.f64 #s(literal 16/9 binary64) (*.f64 x x) (-.f64 #s(literal 4 binary64) (*.f64 x #s(literal -8/3 binary64)))))) |
(/.f64 (-.f64 (*.f64 #s(literal 16/9 binary64) (*.f64 x x)) #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal -4/3 binary64) x) #s(literal 2 binary64))) |
(/.f64 (fma.f64 #s(literal -64/27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)) (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 #s(literal 16/9 binary64) (*.f64 x x)) (*.f64 x #s(literal -8/3 binary64))))) |
(/.f64 (fma.f64 #s(literal -64/27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 #s(literal 16/9 binary64) (*.f64 x x) (-.f64 #s(literal 4 binary64) (*.f64 x #s(literal -8/3 binary64))))) |
(fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) |
(fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) |
(-.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) (*.f64 #s(literal -4/3 binary64) x))) (/.f64 (*.f64 #s(literal 16/9 binary64) (*.f64 x x)) (-.f64 #s(literal 2 binary64) (*.f64 #s(literal -4/3 binary64) x)))) |
(-.f64 (/.f64 (*.f64 #s(literal 16/9 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal -4/3 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (-.f64 (*.f64 #s(literal -4/3 binary64) x) #s(literal 2 binary64)))) |
(-.f64 #s(literal 2 binary64) (*.f64 (neg.f64 x) #s(literal -4/3 binary64))) |
(-.f64 #s(literal 2 binary64) (*.f64 #s(literal 4/3 binary64) x)) |
(+.f64 (/.f64 (*.f64 #s(literal -64/27 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 #s(literal 16/9 binary64) (*.f64 x x)) (*.f64 x #s(literal -8/3 binary64))))) (/.f64 #s(literal 8 binary64) (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 #s(literal 16/9 binary64) (*.f64 x x)) (*.f64 x #s(literal -8/3 binary64)))))) |
(+.f64 (/.f64 #s(literal 8 binary64) (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 #s(literal 16/9 binary64) (*.f64 x x)) (*.f64 x #s(literal -8/3 binary64))))) (/.f64 (*.f64 #s(literal -64/27 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 #s(literal 16/9 binary64) (*.f64 x x)) (*.f64 x #s(literal -8/3 binary64)))))) |
(+.f64 (/.f64 #s(literal 8 binary64) (fma.f64 #s(literal 16/9 binary64) (*.f64 x x) (-.f64 #s(literal 4 binary64) (*.f64 x #s(literal -8/3 binary64))))) (/.f64 (*.f64 #s(literal -64/27 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 16/9 binary64) (*.f64 x x) (-.f64 #s(literal 4 binary64) (*.f64 x #s(literal -8/3 binary64)))))) |
(+.f64 (/.f64 (*.f64 #s(literal -64/27 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 16/9 binary64) (*.f64 x x) (-.f64 #s(literal 4 binary64) (*.f64 x #s(literal -8/3 binary64))))) (/.f64 #s(literal 8 binary64) (fma.f64 #s(literal 16/9 binary64) (*.f64 x x) (-.f64 #s(literal 4 binary64) (*.f64 x #s(literal -8/3 binary64)))))) |
(+.f64 (*.f64 #s(literal -4/3 binary64) x) #s(literal 2 binary64)) |
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal -4/3 binary64) x)) |
(*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) |
(*.f64 x (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4/3 binary64) x) x) #s(literal 3 binary64)) (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 #s(literal -4/3 binary64) x) x) (*.f64 (*.f64 #s(literal -4/3 binary64) x) x) (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (*.f64 (*.f64 (*.f64 #s(literal -4/3 binary64) x) x) (*.f64 x #s(literal 2 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 #s(literal -4/3 binary64) x)) #s(literal 3 binary64)) (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 x (*.f64 #s(literal -4/3 binary64) x)) (*.f64 x (*.f64 #s(literal -4/3 binary64) x)) (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (*.f64 (*.f64 x (*.f64 #s(literal -4/3 binary64) x)) (*.f64 x #s(literal 2 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (*.f64 #s(literal -4/3 binary64) x)) #s(literal 3 binary64))) (fma.f64 #s(literal 4 binary64) (*.f64 x x) (-.f64 (*.f64 (*.f64 x (*.f64 #s(literal -4/3 binary64) x)) (*.f64 x (*.f64 #s(literal -4/3 binary64) x))) (*.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x (*.f64 #s(literal -4/3 binary64) x)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -4/3 binary64) x) x) #s(literal 3 binary64))) (fma.f64 #s(literal 4 binary64) (*.f64 x x) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -4/3 binary64) x) x) (*.f64 (*.f64 #s(literal -4/3 binary64) x) x)) (*.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -4/3 binary64) x) x))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal 16/9 binary64) (*.f64 x x)) #s(literal 4 binary64)) x)) (neg.f64 (-.f64 (*.f64 #s(literal -4/3 binary64) x) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -64/27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)) x)) (neg.f64 (fma.f64 #s(literal 16/9 binary64) (*.f64 x x) (-.f64 #s(literal 4 binary64) (*.f64 x #s(literal -8/3 binary64)))))) |
(/.f64 (neg.f64 (*.f64 x (-.f64 (*.f64 #s(literal 16/9 binary64) (*.f64 x x)) #s(literal 4 binary64)))) (neg.f64 (-.f64 (*.f64 #s(literal -4/3 binary64) x) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (*.f64 x (fma.f64 #s(literal -64/27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)))) (neg.f64 (fma.f64 #s(literal 16/9 binary64) (*.f64 x x) (-.f64 #s(literal 4 binary64) (*.f64 x #s(literal -8/3 binary64)))))) |
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 16/9 binary64) (*.f64 x x)) #s(literal 4 binary64)) x) (-.f64 (*.f64 #s(literal -4/3 binary64) x) #s(literal 2 binary64))) |
(/.f64 (*.f64 (fma.f64 #s(literal -64/27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)) x) (fma.f64 #s(literal 16/9 binary64) (*.f64 x x) (-.f64 #s(literal 4 binary64) (*.f64 x #s(literal -8/3 binary64))))) |
(/.f64 (*.f64 x (-.f64 (*.f64 #s(literal 16/9 binary64) (*.f64 x x)) #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal -4/3 binary64) x) #s(literal 2 binary64))) |
(/.f64 (*.f64 x (fma.f64 #s(literal -64/27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64))) (fma.f64 #s(literal 16/9 binary64) (*.f64 x x) (-.f64 #s(literal 4 binary64) (*.f64 x #s(literal -8/3 binary64))))) |
(fma.f64 (*.f64 #s(literal -4/3 binary64) x) x (*.f64 x #s(literal 2 binary64))) |
(fma.f64 x (*.f64 #s(literal -4/3 binary64) x) (*.f64 x #s(literal 2 binary64))) |
(fma.f64 x #s(literal 2 binary64) (*.f64 (*.f64 #s(literal -4/3 binary64) x) x)) |
(fma.f64 x #s(literal 2 binary64) (*.f64 x (*.f64 #s(literal -4/3 binary64) x))) |
(fma.f64 #s(literal 2 binary64) x (*.f64 (*.f64 #s(literal -4/3 binary64) x) x)) |
(fma.f64 #s(literal 2 binary64) x (*.f64 x (*.f64 #s(literal -4/3 binary64) x))) |
(+.f64 (*.f64 (*.f64 #s(literal -4/3 binary64) x) x) (*.f64 x #s(literal 2 binary64))) |
(+.f64 (*.f64 x (*.f64 #s(literal -4/3 binary64) x)) (*.f64 x #s(literal 2 binary64))) |
(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -4/3 binary64) x) x)) |
(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x (*.f64 #s(literal -4/3 binary64) x))) |
Compiled 17 276 to 1 840 computations (89.3% saved)
9 alts after pruning (6 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 375 | 6 | 381 |
| Fresh | 3 | 0 | 3 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 381 | 9 | 390 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 52.7% | (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) |
| ▶ | 29.6% | (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64)) |
| ✓ | 29.1% | (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64)) |
| 26.9% | (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (- (* (+ (* -4/3 x) 2) x) 2) x) 2) (*.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x)))) #s(literal 1 binary64)) | |
| ▶ | 26.2% | (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64)) |
| ▶ | 6.7% | (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) |
| ✓ | 4.4% | (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64)) |
| ▶ | 53.3% | #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (*.f64 x x)) x x)) |
| ▶ | 51.8% | #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) x)) |
Compiled 295 to 227 computations (23.1% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) x #s(literal 2 binary64)) | |
| cost-diff | 0 | #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) x #s(literal 2 binary64))) | |
| cost-diff | 0 | (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) x #s(literal 2 binary64)))) | |
| cost-diff | 0 | (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64))) | |
| cost-diff | 0 | #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64)))) | |
| cost-diff | 0 | (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64))))) | |
| cost-diff | 0 | (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) x) | |
| cost-diff | 0 | #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) x)) | |
| cost-diff | 2 | (*.f64 (*.f64 x x) x) | |
| cost-diff | 0 | (+.f64 x #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 x #s(literal 1 binary64))) | |
| cost-diff | 0 | (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) | |
| cost-diff | 0 | (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) | |
| cost-diff | 0 | (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (*.f64 x x)) | |
| cost-diff | 0 | #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (*.f64 x x)) x x)) | |
| cost-diff | 2 | (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (*.f64 x x)) x x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 269 |
| 0 | 55 | 269 |
| 1 | 91 | 261 |
| 2 | 207 | 261 |
| 3 | 586 | 261 |
| 4 | 1376 | 261 |
| 5 | 3712 | 261 |
| 0 | 8013 | 255 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (*.f64 x x)) x x)) |
(fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (*.f64 x x)) x x) |
(*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (*.f64 x x)) |
(-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) |
(*.f64 (*.f64 x x) #s(literal 2/15 binary64)) |
(*.f64 x x) |
x |
#s(literal 2/15 binary64) |
#s(literal 1/3 binary64) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) |
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) x)) |
(fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) x) |
(*.f64 (*.f64 x x) x) |
(*.f64 x x) |
x |
#s(literal -1/3 binary64) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64)) |
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64))))) |
#s(literal 2 binary64) |
#s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64)))) |
#s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64))) |
(*.f64 x #s(literal -2 binary64)) |
x |
#s(literal -2 binary64) |
#s(literal 1 binary64) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) x #s(literal 2 binary64)))) |
#s(literal 2 binary64) |
#s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) x #s(literal 2 binary64))) |
(fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) x #s(literal 2 binary64)) |
(fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) |
x |
#s(literal -2 binary64) |
#s(literal 1 binary64) |
| Outputs |
|---|
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (*.f64 x x)) x x)) |
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x)) |
(fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (*.f64 x x)) x x) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x) |
(*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (*.f64 x x)) |
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x) x) |
(-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) |
(-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) |
(*.f64 (*.f64 x x) #s(literal 2/15 binary64)) |
(*.f64 #s(literal 2/15 binary64) (*.f64 x x)) |
(*.f64 x x) |
x |
#s(literal 2/15 binary64) |
#s(literal 1/3 binary64) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) |
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) x)) |
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x)) |
(fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) x) |
(fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x) |
(*.f64 (*.f64 x x) x) |
(pow.f64 x #s(literal 3 binary64)) |
(*.f64 x x) |
x |
#s(literal -1/3 binary64) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64)) |
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64))))) |
#s(literal 2 binary64) |
#s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64)))) |
#s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64))) |
(*.f64 x #s(literal -2 binary64)) |
x |
#s(literal -2 binary64) |
#s(literal 1 binary64) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) x #s(literal 2 binary64)))) |
#s(literal 2 binary64) |
#s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) x #s(literal 2 binary64))) |
(fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) x #s(literal 2 binary64)) |
(fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) |
x |
#s(literal -2 binary64) |
#s(literal 1 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.00390625 | (fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) x #s(literal 2 binary64)) | |
| accuracy | 0.0078125 | (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) x #s(literal 2 binary64)))) | |
| accuracy | 22.290785313839823 | #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) x #s(literal 2 binary64))) | |
| accuracy | 30.20674971259159 | (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64)) | |
| accuracy | 0.0078125 | (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64))))) | |
| accuracy | 30.20674971259159 | (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64)) | |
| accuracy | 30.299421287294912 | #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64)))) | |
| accuracy | 32.47120864334913 | #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64))) | |
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 0.0390625 | (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) x) | |
| accuracy | 0.09375 | (*.f64 (*.f64 x x) x) | |
| accuracy | 30.849567602953353 | #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) x)) | |
| accuracy | 0.0 | (+.f64 x #s(literal 1 binary64)) | |
| accuracy | 29.95999858395658 | #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 x #s(literal 1 binary64))) | |
| accuracy | 30.20674971259159 | (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) | |
| accuracy | 0.0234375 | (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (*.f64 x x)) x x) | |
| accuracy | 0.13671875 | (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) | |
| accuracy | 0.15234375 | (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (*.f64 x x)) | |
| accuracy | 29.9187668564551 | #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (*.f64 x x)) x x)) |
| 58.0ms | 79× | 1 | valid |
| 39.0ms | 51× | 2 | valid |
| 26.0ms | 126× | 0 | valid |
Compiled 186 to 30 computations (83.9% saved)
adjust: 30.0ms (29.9% of total)ival-mult: 17.0ms (16.9% of total)ival-exp: 15.0ms (14.9% of total)ival-div: 14.0ms (13.9% of total)const: 11.0ms (10.9% of total)ival-add: 10.0ms (10% of total)ival-sub: 4.0ms (4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (*.f64 x x)) x x) |
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (*.f64 x x)) x x)) |
(*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (*.f64 x x)) |
(-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) |
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
(*.f64 (*.f64 x x) x) |
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) x)) |
(fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) x) |
(*.f64 x x) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64)) |
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64))))) |
#s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64)))) |
#s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64))) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) x #s(literal 2 binary64)))) |
#s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) x #s(literal 2 binary64))) |
(fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) x #s(literal 2 binary64)) |
(*.f64 (*.f64 x x) #s(literal 2/15 binary64)) |
| Outputs |
|---|
x |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))) |
(* -1/3 (pow x 2)) |
(* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)) |
-1/3 |
(- (* 2/15 (pow x 2)) 1/3) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* -1/3 (pow x 2))))) |
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))) |
(pow x 3) |
(pow x 2) |
2 |
(+ 2 (* -2 x)) |
(+ 2 (* x (- (* 2 x) 2))) |
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2))) |
(* 2/15 (pow x 2)) |
(* 2/15 (pow x 5)) |
(* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2))))) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(* 2/15 (pow x 4)) |
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(* x (+ 1 (/ 1 x))) |
(* -1/3 (pow x 3)) |
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3)) |
(+ 1 (exp (* -2 x))) |
(* -2 x) |
(* x (- (* 2 (/ 1 x)) 2)) |
(* 2 (pow x 2)) |
(* (pow x 2) (- 2 (* 2 (/ 1 x)))) |
(* (pow x 2) (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x)))) |
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15))) |
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4)))))) |
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2))))) |
(* -1 (* x (- 2 (* 2 (/ 1 x))))) |
(* (pow x 2) (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x)))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | inf | ((+ (* (* (- (* (* x x) 2/15) 1/3) (* x x)) x) x) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (* (- (* (* x x) 2/15) 1/3) (* x x)) (- (* (* x x) 2/15) 1/3) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ x 1) (* (* x x) x) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (+ (* (* (* x x) x) -1/3) x) (* x x) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* -2 x) 2) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* (+ (* x 2) -2) x) 2) (* (* x x) 2/15)) |
| 2.0ms | x | @ | -inf | ((+ (* (* (- (* (* x x) 2/15) 1/3) (* x x)) x) x) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (* (- (* (* x x) 2/15) 1/3) (* x x)) (- (* (* x x) 2/15) 1/3) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ x 1) (* (* x x) x) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (+ (* (* (* x x) x) -1/3) x) (* x x) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* -2 x) 2) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* (+ (* x 2) -2) x) 2) (* (* x x) 2/15)) |
| 1.0ms | x | @ | 0 | ((+ (* (* (- (* (* x x) 2/15) 1/3) (* x x)) x) x) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (* (- (* (* x x) 2/15) 1/3) (* x x)) (- (* (* x x) 2/15) 1/3) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ x 1) (* (* x x) x) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (+ (* (* (* x x) x) -1/3) x) (* x x) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* -2 x) 2) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* (+ (* x 2) -2) x) 2) (* (* x x) 2/15)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 96 | 327 |
| 1 | 265 | 317 |
| 2 | 730 | 315 |
| 3 | 2613 | 315 |
| 0 | 8383 | 290 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))) |
(* -1/3 (pow x 2)) |
(* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)) |
-1/3 |
(- (* 2/15 (pow x 2)) 1/3) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* -1/3 (pow x 2))))) |
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))) |
(pow x 3) |
(pow x 2) |
2 |
(+ 2 (* -2 x)) |
(+ 2 (* x (- (* 2 x) 2))) |
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2))) |
(* 2/15 (pow x 2)) |
(* 2/15 (pow x 5)) |
(* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2))))) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(* 2/15 (pow x 4)) |
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(* x (+ 1 (/ 1 x))) |
(* -1/3 (pow x 3)) |
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3)) |
(+ 1 (exp (* -2 x))) |
(* -2 x) |
(* x (- (* 2 (/ 1 x)) 2)) |
(* 2 (pow x 2)) |
(* (pow x 2) (- 2 (* 2 (/ 1 x)))) |
(* (pow x 2) (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x)))) |
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15))) |
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4)))))) |
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2))))) |
(* -1 (* x (- 2 (* 2 (/ 1 x))))) |
(* (pow x 2) (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x)))) |
| Outputs |
|---|
x |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -17/315 binary64) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64))) x) |
(* -1/3 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/3 binary64)) |
(* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)) |
(*.f64 (*.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x) x) |
-1/3 |
#s(literal -1/3 binary64) |
(- (* 2/15 (pow x 2)) 1/3) |
(fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(-.f64 x #s(literal -1 binary64)) |
(+ 1 (* x (+ 1 (* -1/3 (pow x 2))))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (-.f64 x #s(literal -1 binary64))) |
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))) |
(-.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x) #s(literal -1 binary64)) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(pow x 2) |
(*.f64 x x) |
2 |
#s(literal 2 binary64) |
(+ 2 (* -2 x)) |
(fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) |
(+ 2 (* x (- (* 2 x) 2))) |
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)) |
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)) |
(* 2/15 (pow x 2)) |
(*.f64 #s(literal 2/15 binary64) (*.f64 x x)) |
(* 2/15 (pow x 5)) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 2/15 binary64)) |
(* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(*.f64 (-.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))) |
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2))))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/15 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(* 2/15 (pow x 4)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2/15 binary64)) |
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))) |
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) |
(* x (+ 1 (/ 1 x))) |
(-.f64 x #s(literal -1 binary64)) |
(* -1/3 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)) |
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3)) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(+ 1 (exp (* -2 x))) |
(+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) |
(* -2 x) |
(*.f64 #s(literal -2 binary64) x) |
(* x (- (* 2 (/ 1 x)) 2)) |
(fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) |
(* 2 (pow x 2)) |
(*.f64 (*.f64 #s(literal 2 binary64) x) x) |
(* (pow x 2) (- 2 (* 2 (/ 1 x)))) |
(*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x) |
(* (pow x 2) (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x)))) |
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)) |
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15))) |
(*.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 2/15 binary64))) (pow.f64 x #s(literal 5 binary64))) |
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4)))))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 2/15 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) |
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* -1 (* x (- 2 (* 2 (/ 1 x))))) |
(fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) |
(* (pow x 2) (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x)))) |
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 244 |
| 0 | 55 | 236 |
| 1 | 233 | 236 |
| 2 | 1727 | 236 |
| 0 | 8098 | 230 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (*.f64 x x)) x x) |
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (*.f64 x x)) x x)) |
(*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (*.f64 x x)) |
(-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) |
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
(*.f64 (*.f64 x x) x) |
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) x)) |
(fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) x) |
(*.f64 x x) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64)) |
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64))))) |
#s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64)))) |
#s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64))) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) x #s(literal 2 binary64)))) |
#s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) x #s(literal 2 binary64))) |
(fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) x #s(literal 2 binary64)) |
(*.f64 (*.f64 x x) #s(literal 2/15 binary64)) |
| Outputs |
|---|
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) |
(*.f64 x (fma.f64 (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (-.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (neg.f64 x))))) (neg.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64))) x)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (-.f64 (*.f64 x x) (*.f64 (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 4 binary64)))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64))) x)) (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64))) x) (*.f64 x x))) (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64))) x) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64))) x))) |
(/.f64 (fma.f64 (*.f64 (pow.f64 (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 9 binary64))) (fma.f64 (pow.f64 (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (-.f64 (*.f64 x x) (*.f64 (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 4 binary64))))) (*.f64 (fma.f64 (pow.f64 (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (-.f64 (*.f64 x x) (*.f64 (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (fma.f64 (pow.f64 (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (-.f64 (*.f64 x x) (*.f64 (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 4 binary64))))) (fma.f64 (pow.f64 (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (-.f64 (*.f64 x x) (*.f64 (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 4 binary64))))))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)))) (-.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (neg.f64 x)))) (neg.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64))) x))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (*.f64 (pow.f64 (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 4 binary64))))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (-.f64 (*.f64 x x) (*.f64 (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 4 binary64))))))) |
(/.f64 (fma.f64 (pow.f64 (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (neg.f64 x))) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64))) x)) |
(/.f64 (fma.f64 (pow.f64 (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (pow.f64 (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 4 binary64)))))) |
(/.f64 (fma.f64 (pow.f64 (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (-.f64 (*.f64 x x) (*.f64 (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 4 binary64)))))) |
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 (neg.f64 x))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)))) |
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)))) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)))) |
(fma.f64 (*.f64 (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x) (*.f64 x x) x) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x) |
(fma.f64 #s(literal 1 binary64) x (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)))) |
(fma.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x) x) x x) |
(fma.f64 (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x) |
(fma.f64 (*.f64 x x) (*.f64 (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x) x) |
(fma.f64 x #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)))) |
(fma.f64 x (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x) x) x) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64))))) (/.f64 (*.f64 (pow.f64 (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)))))) |
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#s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64))) |
(/.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x) #s(literal 2 binary64)) #s(literal 4 binary64)))) (neg.f64 (neg.f64 (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x) #s(literal 3 binary64)) #s(literal 8 binary64)))) (neg.f64 (neg.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x) #s(literal 2 binary64))) (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x) #s(literal 2 binary64)) #s(literal 4 binary64))) (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x) #s(literal 2 binary64)))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x) #s(literal 2 binary64))) (*.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x) #s(literal 2 binary64))) #s(literal 8 binary64))) (*.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x) #s(literal 2 binary64))) (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x) #s(literal 2 binary64))))) |
(/.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x) #s(literal 2 binary64))) (-.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x) #s(literal 2 binary64)) #s(literal 4 binary64))) (neg.f64 (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x) #s(literal 3 binary64)) #s(literal 8 binary64))) (neg.f64 (+.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x) #s(literal 3 binary64)) #s(literal 8 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x) #s(literal 2 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x) #s(literal 2 binary64))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x) #s(literal 3 binary64)) #s(literal 8 binary64)) (+.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x) #s(literal 2 binary64))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x) #s(literal 3 binary64)) #s(literal 8 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x) #s(literal 2 binary64)))) |
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)) |
(fma.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) #s(literal 2 binary64)) |
(-.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x))) (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x) #s(literal 2 binary64)) (-.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x) #s(literal 2 binary64)))) |
(-.f64 #s(literal 2 binary64) (*.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64))) x)) |
(-.f64 #s(literal 2 binary64) (*.f64 (neg.f64 x) (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x) #s(literal 3 binary64)) (+.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x) #s(literal 2 binary64))))) (/.f64 #s(literal 8 binary64) (+.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x) #s(literal 2 binary64)))))) |
(+.f64 (/.f64 #s(literal 8 binary64) (+.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x) #s(literal 2 binary64))))) (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x) #s(literal 3 binary64)) (+.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x) #s(literal 2 binary64)))))) |
(+.f64 (/.f64 #s(literal 8 binary64) (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x) #s(literal 2 binary64))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x) #s(literal 2 binary64)))) (/.f64 #s(literal 8 binary64) (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x) #s(literal 2 binary64))))) |
(+.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x) #s(literal 2 binary64)) |
(+.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x)) |
(*.f64 (fabs.f64 (*.f64 #s(literal 2/15 binary64) (neg.f64 x))) x) |
(*.f64 (fabs.f64 (*.f64 #s(literal 2/15 binary64) x)) x) |
(*.f64 (*.f64 #s(literal 2/15 binary64) (neg.f64 x)) (neg.f64 x)) |
(*.f64 (*.f64 #s(literal 2/15 binary64) x) x) |
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 2/15 binary64))) |
(*.f64 #s(literal 2/15 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x x) #s(literal 2/15 binary64)) |
(*.f64 x (fabs.f64 (*.f64 (neg.f64 x) #s(literal 2/15 binary64)))) |
(*.f64 x (fabs.f64 (*.f64 #s(literal 2/15 binary64) x))) |
(*.f64 x (*.f64 #s(literal 2/15 binary64) x)) |
(sqrt.f64 (*.f64 #s(literal 4/225 binary64) (pow.f64 x #s(literal 4 binary64)))) |
(fabs.f64 (neg.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)))) |
(fabs.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x))) |
Compiled 12 054 to 1 389 computations (88.5% saved)
12 alts after pruning (6 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 344 | 5 | 349 |
| Fresh | 0 | 1 | 1 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 3 | 3 |
| Total | 346 | 12 | 358 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 52.7% | (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) |
| ✓ | 29.1% | (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64)) |
| 26.9% | (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (- (* (+ (* -4/3 x) 2) x) 2) x) 2) (*.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x)))) #s(literal 1 binary64)) | |
| ▶ | 26.4% | (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* x 2) -2) x) 2) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x)))) #s(literal 1 binary64)) |
| ▶ | 26.8% | (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* x 2) -2) x) 2) (*.f64 (*.f64 #s(literal 2 binary64) x) x)))) #s(literal 1 binary64)) |
| ✓ | 26.2% | (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64)) |
| ▶ | 3.2% | (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) #s(literal 1 binary64)) |
| ▶ | 6.5% | (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) |
| ✓ | 6.7% | (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) |
| ✓ | 4.4% | (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64)) |
| ✓ | 51.8% | #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) x)) |
| ▶ | 53.3% | #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 #s(approx (- (* (* x x) 2/15) 1/3) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64))) (*.f64 x x)) x x)) |
Compiled 400 to 301 computations (24.8% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sqrt.f64 x) | |
| cost-diff | 0 | #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) | |
| cost-diff | 0 | (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) #s(literal 1 binary64)) | |
| cost-diff | 3 | (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (+ (* (+ (* x 2) -2) x) 2) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x)) | |
| cost-diff | 0 | #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* x 2) -2) x) 2) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x))) | |
| cost-diff | 0 | (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* x 2) -2) x) 2) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x)))) | |
| cost-diff | 0 | (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* x 2) -2) x) 2) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x)))) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) | |
| cost-diff | 0 | (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) | |
| cost-diff | 1 | (-.f64 (*.f64 x x) #s(literal 1 binary64)) | |
| cost-diff | 5 | (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) | |
| cost-diff | 0 | #s(approx (+ (* (+ (* x 2) -2) x) 2) (*.f64 (*.f64 #s(literal 2 binary64) x) x)) | |
| cost-diff | 0 | #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* x 2) -2) x) 2) (*.f64 (*.f64 #s(literal 2 binary64) x) x))) | |
| cost-diff | 0 | (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* x 2) -2) x) 2) (*.f64 (*.f64 #s(literal 2 binary64) x) x)))) | |
| cost-diff | 0 | (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* x 2) -2) x) 2) (*.f64 (*.f64 #s(literal 2 binary64) x) x)))) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (- (* (* x x) 2/15) 1/3) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64))) | |
| cost-diff | 0 | (*.f64 #s(approx (- (* (* x x) 2/15) 1/3) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64))) (*.f64 x x)) | |
| cost-diff | 0 | #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 #s(approx (- (* (* x x) 2/15) 1/3) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64))) (*.f64 x x)) x x)) | |
| cost-diff | 2 | (fma.f64 (*.f64 #s(approx (- (* (* x x) 2/15) 1/3) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64))) (*.f64 x x)) x x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 402 |
| 0 | 68 | 403 |
| 1 | 117 | 403 |
| 2 | 342 | 377 |
| 3 | 1475 | 365 |
| 4 | 3173 | 365 |
| 0 | 8518 | 354 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 #s(approx (- (* (* x x) 2/15) 1/3) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64))) (*.f64 x x)) x x)) |
(fma.f64 (*.f64 #s(approx (- (* (* x x) 2/15) 1/3) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64))) (*.f64 x x)) x x) |
(*.f64 #s(approx (- (* (* x x) 2/15) 1/3) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64))) (*.f64 x x)) |
#s(approx (- (* (* x x) 2/15) 1/3) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64))) |
(fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) |
#s(literal 2/15 binary64) |
(*.f64 x x) |
x |
#s(literal -1/3 binary64) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* x 2) -2) x) 2) (*.f64 (*.f64 #s(literal 2 binary64) x) x)))) #s(literal 1 binary64)) |
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* x 2) -2) x) 2) (*.f64 (*.f64 #s(literal 2 binary64) x) x)))) |
#s(literal 2 binary64) |
#s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* x 2) -2) x) 2) (*.f64 (*.f64 #s(literal 2 binary64) x) x))) |
#s(approx (+ (* (+ (* x 2) -2) x) 2) (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
(*.f64 (*.f64 #s(literal 2 binary64) x) x) |
(*.f64 #s(literal 2 binary64) x) |
x |
#s(literal 1 binary64) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) |
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) |
(-.f64 (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 x x) |
x |
#s(literal 1 binary64) |
(-.f64 x #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* x 2) -2) x) 2) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x)))) #s(literal 1 binary64)) |
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* x 2) -2) x) 2) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x)))) |
#s(literal 2 binary64) |
#s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* x 2) -2) x) 2) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x))) |
#s(approx (+ (* (+ (* x 2) -2) x) 2) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x)) |
(*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x) |
(fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) |
x |
#s(literal -2 binary64) |
#s(literal 1 binary64) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) #s(literal 1 binary64)) |
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64)) |
(sqrt.f64 x) |
x |
#s(literal 1 binary64) |
| Outputs |
|---|
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 #s(approx (- (* (* x x) 2/15) 1/3) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64))) (*.f64 x x)) x x)) |
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (- (* (* x x) 2/15) 1/3) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) x)) |
(fma.f64 (*.f64 #s(approx (- (* (* x x) 2/15) 1/3) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64))) (*.f64 x x)) x x) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (- (* (* x x) 2/15) 1/3) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) x) |
(*.f64 #s(approx (- (* (* x x) 2/15) 1/3) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64))) (*.f64 x x)) |
(*.f64 #s(approx (- (* (* x x) 2/15) 1/3) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) (*.f64 x x)) |
#s(approx (- (* (* x x) 2/15) 1/3) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64))) |
#s(approx (- (* (* x x) 2/15) 1/3) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) |
(fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) |
#s(literal 2/15 binary64) |
(*.f64 x x) |
x |
#s(literal -1/3 binary64) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* x 2) -2) x) 2) (*.f64 (*.f64 #s(literal 2 binary64) x) x)))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* x 2) -2) x) 2) (*.f64 (*.f64 x #s(literal 2 binary64)) x)))) #s(literal 1 binary64)) |
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* x 2) -2) x) 2) (*.f64 (*.f64 #s(literal 2 binary64) x) x)))) |
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* x 2) -2) x) 2) (*.f64 (*.f64 x #s(literal 2 binary64)) x)))) |
#s(literal 2 binary64) |
#s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* x 2) -2) x) 2) (*.f64 (*.f64 #s(literal 2 binary64) x) x))) |
#s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* x 2) -2) x) 2) (*.f64 (*.f64 x #s(literal 2 binary64)) x))) |
#s(approx (+ (* (+ (* x 2) -2) x) 2) (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
#s(approx (+ (* (+ (* x 2) -2) x) 2) (*.f64 (*.f64 x #s(literal 2 binary64)) x)) |
(*.f64 (*.f64 #s(literal 2 binary64) x) x) |
(*.f64 (*.f64 x #s(literal 2 binary64)) x) |
(*.f64 #s(literal 2 binary64) x) |
(*.f64 x #s(literal 2 binary64)) |
x |
#s(literal 1 binary64) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) |
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 x #s(literal 1 binary64))) |
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
(-.f64 (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 x x #s(literal -1 binary64)) |
(*.f64 x x) |
x |
#s(literal 1 binary64) |
(-.f64 x #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* x 2) -2) x) 2) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x)))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* x 2) -2) x) 2) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) x)))) #s(literal 1 binary64)) |
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* x 2) -2) x) 2) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x)))) |
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* x 2) -2) x) 2) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) x)))) |
#s(literal 2 binary64) |
#s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* x 2) -2) x) 2) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x))) |
#s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* x 2) -2) x) 2) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) x))) |
#s(approx (+ (* (+ (* x 2) -2) x) 2) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x)) |
#s(approx (+ (* (+ (* x 2) -2) x) 2) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) x)) |
(*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x) |
(*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) x) |
(fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) |
(fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) |
x |
#s(literal -2 binary64) |
#s(literal 1 binary64) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) |
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) |
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 x #s(literal 1 binary64))) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64)) |
(+.f64 x #s(literal 1 binary64)) |
(sqrt.f64 x) |
x |
#s(literal 1 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (sqrt.f64 x) | |
| accuracy | 0.1171875 | (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64)) | |
| accuracy | 13.908247400577268 | #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) | |
| accuracy | 18.057977227474947 | (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) #s(literal 1 binary64)) | |
| accuracy | 0.00390625 | (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x) | |
| accuracy | 14.083590607299971 | #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* x 2) -2) x) 2) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x))) | |
| accuracy | 18.057977227474947 | (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* x 2) -2) x) 2) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x)))) #s(literal 1 binary64)) | |
| accuracy | 18.954618612078495 | #s(approx (+ (* (+ (* x 2) -2) x) 2) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x)) | |
| accuracy | 0.00390625 | (-.f64 (*.f64 x x) #s(literal 1 binary64)) | |
| accuracy | 6.770580559384121 | (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) | |
| accuracy | 13.908247400577268 | #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) | |
| accuracy | 18.057977227474947 | (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) | |
| accuracy | 0.0 | (*.f64 #s(literal 2 binary64) x) | |
| accuracy | 14.083590607299971 | #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* x 2) -2) x) 2) (*.f64 (*.f64 #s(literal 2 binary64) x) x))) | |
| accuracy | 18.057977227474947 | (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* x 2) -2) x) 2) (*.f64 (*.f64 #s(literal 2 binary64) x) x)))) #s(literal 1 binary64)) | |
| accuracy | 18.972147591586943 | #s(approx (+ (* (+ (* x 2) -2) x) 2) (*.f64 (*.f64 #s(literal 2 binary64) x) x)) | |
| accuracy | 0.00390625 | (fma.f64 (*.f64 #s(approx (- (* (* x x) 2/15) 1/3) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64))) (*.f64 x x)) x x) | |
| accuracy | 0.046875 | (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) | |
| accuracy | 0.09375 | (*.f64 #s(approx (- (* (* x x) 2/15) 1/3) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64))) (*.f64 x x)) | |
| accuracy | 14.200431765958404 | #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 #s(approx (- (* (* x x) 2/15) 1/3) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64))) (*.f64 x x)) x x)) |
| 44.0ms | 47× | 1 | valid |
| 36.0ms | 59× | 0 | valid |
| 31.0ms | 120× | 0 | invalid |
| 25.0ms | 30× | 2 | valid |
Compiled 220 to 36 computations (83.6% saved)
const: 46.0ms (40.2% of total)ival-mult: 19.0ms (16.6% of total)adjust: 14.0ms (12.2% of total)ival-add: 13.0ms (11.4% of total)ival-exp: 10.0ms (8.7% of total)ival-sub: 6.0ms (5.2% of total)ival-div: 4.0ms (3.5% of total)ival-sqrt: 2.0ms (1.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (*.f64 #s(approx (- (* (* x x) 2/15) 1/3) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64))) (*.f64 x x)) x x) |
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 #s(approx (- (* (* x x) 2/15) 1/3) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64))) (*.f64 x x)) x x)) |
(*.f64 #s(approx (- (* (* x x) 2/15) 1/3) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64))) (*.f64 x x)) |
#s(approx (- (* (* x x) 2/15) 1/3) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64))) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* x 2) -2) x) 2) (*.f64 (*.f64 #s(literal 2 binary64) x) x)))) #s(literal 1 binary64)) |
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* x 2) -2) x) 2) (*.f64 (*.f64 #s(literal 2 binary64) x) x)))) |
#s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* x 2) -2) x) 2) (*.f64 (*.f64 #s(literal 2 binary64) x) x))) |
#s(approx (+ (* (+ (* x 2) -2) x) 2) (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) |
(-.f64 (*.f64 x x) #s(literal 1 binary64)) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) |
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* x 2) -2) x) 2) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x)))) #s(literal 1 binary64)) |
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* x 2) -2) x) 2) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x)))) |
#s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* x 2) -2) x) 2) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x))) |
#s(approx (+ (* (+ (* x 2) -2) x) 2) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x)) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64)) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) #s(literal 1 binary64)) |
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) |
(sqrt.f64 x) |
(fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) |
(*.f64 #s(literal 2 binary64) x) |
(*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x) |
| Outputs |
|---|
x |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))) |
(* -1/3 (pow x 2)) |
(* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)) |
-1/3 |
(- (* 2/15 (pow x 2)) 1/3) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* -1/3 (pow x 2))))) |
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))) |
2 |
(+ 2 (* -2 x)) |
(+ 2 (* x (- (* 2 x) 2))) |
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2))) |
-1 |
(- (pow x 2) 1) |
(sqrt x) |
(* 2 x) |
(* -2 x) |
(* x (- (* 2 x) 2)) |
(* 2/15 (pow x 5)) |
(* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2))))) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(* 2/15 (pow x 4)) |
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(* 2/15 (pow x 2)) |
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(+ 1 (exp (* -2 x))) |
(* 2 (pow x 2)) |
(* (pow x 2) (- 2 (* 2 (/ 1 x)))) |
(* (pow x 2) (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x)))) |
(* x (+ 1 (/ 1 x))) |
(pow x 2) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15))) |
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4)))))) |
(* (pow x 2) (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x)))) |
(* -1 (* x (pow (sqrt -1) 2))) |
(* -1 (* x (- (pow (sqrt -1) 2) (/ 1 x)))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | x | @ | -inf | ((+ (* (* (- (* (* x x) 2/15) 1/3) (* x x)) x) x) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (* (- (* (* x x) 2/15) 1/3) (* x x)) (- (* (* x x) 2/15) 1/3) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* (+ (* x 2) -2) x) 2) (/ (- (* x x) 1) (- x 1)) (- (* x x) 1) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* (+ (* x 2) -2) x) 2) (+ (* (sqrt x) (sqrt x)) 1) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (sqrt x) (+ (* 2/15 (* x x)) -1/3) (* 2 x) (* (+ (* 2 x) -2) x)) |
| 3.0ms | x | @ | inf | ((+ (* (* (- (* (* x x) 2/15) 1/3) (* x x)) x) x) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (* (- (* (* x x) 2/15) 1/3) (* x x)) (- (* (* x x) 2/15) 1/3) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* (+ (* x 2) -2) x) 2) (/ (- (* x x) 1) (- x 1)) (- (* x x) 1) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* (+ (* x 2) -2) x) 2) (+ (* (sqrt x) (sqrt x)) 1) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (sqrt x) (+ (* 2/15 (* x x)) -1/3) (* 2 x) (* (+ (* 2 x) -2) x)) |
| 2.0ms | x | @ | 0 | ((+ (* (* (- (* (* x x) 2/15) 1/3) (* x x)) x) x) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (* (- (* (* x x) 2/15) 1/3) (* x x)) (- (* (* x x) 2/15) 1/3) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* (+ (* x 2) -2) x) 2) (/ (- (* x x) 1) (- x 1)) (- (* x x) 1) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* (+ (* x 2) -2) x) 2) (+ (* (sqrt x) (sqrt x)) 1) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (sqrt x) (+ (* 2/15 (* x x)) -1/3) (* 2 x) (* (+ (* 2 x) -2) x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 97 | 337 |
| 1 | 267 | 337 |
| 2 | 736 | 323 |
| 3 | 3345 | 323 |
| 0 | 8521 | 312 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))) |
(* -1/3 (pow x 2)) |
(* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)) |
-1/3 |
(- (* 2/15 (pow x 2)) 1/3) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* -1/3 (pow x 2))))) |
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))) |
2 |
(+ 2 (* -2 x)) |
(+ 2 (* x (- (* 2 x) 2))) |
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2))) |
-1 |
(- (pow x 2) 1) |
(sqrt x) |
(* 2 x) |
(* -2 x) |
(* x (- (* 2 x) 2)) |
(* 2/15 (pow x 5)) |
(* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2))))) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(* 2/15 (pow x 4)) |
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(* 2/15 (pow x 2)) |
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(+ 1 (exp (* -2 x))) |
(* 2 (pow x 2)) |
(* (pow x 2) (- 2 (* 2 (/ 1 x)))) |
(* (pow x 2) (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x)))) |
(* x (+ 1 (/ 1 x))) |
(pow x 2) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15))) |
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4)))))) |
(* (pow x 2) (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x)))) |
(* -1 (* x (pow (sqrt -1) 2))) |
(* -1 (* x (- (pow (sqrt -1) 2) (/ 1 x)))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
| Outputs |
|---|
x |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal -2/15 binary64) x) x (-.f64 (*.f64 #s(literal 17/315 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64))) x) |
(* -1/3 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/3 binary64)) |
(* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)) |
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal -2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x) x) |
-1/3 |
#s(literal -1/3 binary64) |
(- (* 2/15 (pow x 2)) 1/3) |
(-.f64 (*.f64 #s(literal -2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(-.f64 x #s(literal -1 binary64)) |
(+ 1 (* x (+ 1 (* -1/3 (pow x 2))))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (-.f64 x #s(literal -1 binary64))) |
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) (-.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 (* x (- (* 2 x) 2))) |
(fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x #s(literal 2 binary64)) |
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2))) |
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) x #s(literal 2 binary64)) |
-1 |
#s(literal -1 binary64) |
(- (pow x 2) 1) |
(fma.f64 x x #s(literal -1 binary64)) |
(sqrt x) |
(sqrt.f64 x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* -2 x) |
(*.f64 #s(literal -2 binary64) x) |
(* x (- (* 2 x) 2)) |
(*.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) |
(* 2/15 (pow x 5)) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 2/15 binary64)) |
(* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(*.f64 (-.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))) |
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2))))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/15 binary64)) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(* 2/15 (pow x 4)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2/15 binary64)) |
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x)))) |
(* 2/15 (pow x 2)) |
(*.f64 #s(literal -2/15 binary64) (*.f64 x x)) |
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 (-.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) x) x) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) |
(+ 1 (exp (* -2 x))) |
(+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) |
(* 2 (pow x 2)) |
(*.f64 (*.f64 #s(literal 2 binary64) x) x) |
(* (pow x 2) (- 2 (* 2 (/ 1 x)))) |
(*.f64 (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x) x) |
(* (pow x 2) (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x)))) |
(*.f64 (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) x) x) |
(* x (+ 1 (/ 1 x))) |
(-.f64 x #s(literal -1 binary64)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))) x) x) |
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (-.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 x x)) #s(literal 2/15 binary64))) |
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4)))))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (-.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/15 binary64)))) |
(* (pow x 2) (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x)))) |
(*.f64 (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) x) x) |
(* -1 (* x (pow (sqrt -1) 2))) |
x |
(* -1 (* x (- (pow (sqrt -1) 2) (/ 1 x)))) |
(-.f64 x #s(literal -1 binary64)) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 370 |
| 0 | 68 | 335 |
| 1 | 301 | 333 |
| 2 | 2006 | 333 |
| 0 | 9562 | 322 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 #s(approx (- (* (* x x) 2/15) 1/3) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64))) (*.f64 x x)) x x) |
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 #s(approx (- (* (* x x) 2/15) 1/3) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64))) (*.f64 x x)) x x)) |
(*.f64 #s(approx (- (* (* x x) 2/15) 1/3) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64))) (*.f64 x x)) |
#s(approx (- (* (* x x) 2/15) 1/3) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64))) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* x 2) -2) x) 2) (*.f64 (*.f64 #s(literal 2 binary64) x) x)))) #s(literal 1 binary64)) |
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* x 2) -2) x) 2) (*.f64 (*.f64 #s(literal 2 binary64) x) x)))) |
#s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* x 2) -2) x) 2) (*.f64 (*.f64 #s(literal 2 binary64) x) x))) |
#s(approx (+ (* (+ (* x 2) -2) x) 2) (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) |
(-.f64 (*.f64 x x) #s(literal 1 binary64)) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) |
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* x 2) -2) x) 2) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x)))) #s(literal 1 binary64)) |
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* x 2) -2) x) 2) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x)))) |
#s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* x 2) -2) x) 2) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x))) |
#s(approx (+ (* (+ (* x 2) -2) x) 2) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x)) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64)) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) #s(literal 1 binary64)) |
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) |
(sqrt.f64 x) |
(fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) |
(*.f64 #s(literal 2 binary64) x) |
(*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x) |
| Outputs |
|---|
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (- (* (* x x) 2/15) 1/3) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) x) (*.f64 (fma.f64 #s(approx (- (* (* x x) 2/15) 1/3) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) (*.f64 x x) #s(literal 1 binary64)) (sqrt.f64 x))) (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (- (* (* x x) 2/15) 1/3) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) x) (sqrt.f64 x))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (- (* (* x x) 2/15) 1/3) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) x) x) (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (- (* (* x x) 2/15) 1/3) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) x) (fma.f64 #s(approx (- (* (* x x) 2/15) 1/3) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) (*.f64 x x) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (- (* (* x x) 2/15) 1/3) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) x) (fma.f64 #s(approx (- (* (* x x) 2/15) 1/3) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (- (* (* x x) 2/15) 1/3) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) x) x)) |
(*.f64 (*.f64 (fma.f64 #s(approx (- (* (* x x) 2/15) 1/3) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) (*.f64 x x) #s(literal 1 binary64)) (sqrt.f64 x)) (sqrt.f64 x)) |
(*.f64 (fma.f64 #s(approx (- (* (* x x) 2/15) 1/3) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) (*.f64 x x) #s(literal 1 binary64)) x) |
(*.f64 x (fma.f64 #s(approx (- (* (* x x) 2/15) 1/3) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) (*.f64 x x) #s(literal 1 binary64))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (- (* (* x x) 2/15) 1/3) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))) #s(literal 3 binary64)) (fma.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (- (* (* x x) 2/15) 1/3) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) x) (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (- (* (* x x) 2/15) 1/3) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (- (* (* x x) 2/15) 1/3) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) x) (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (- (* (* x x) 2/15) 1/3) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (- (* (* x x) 2/15) 1/3) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))) #s(literal 3 binary64)) (fma.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (- (* (* x x) 2/15) 1/3) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) x) (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (- (* (* x x) 2/15) 1/3) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (- (* (* x x) 2/15) 1/3) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))) #s(literal 3 binary64)) (fma.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (- (* (* x x) 2/15) 1/3) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) x) (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (- (* (* x x) 2/15) 1/3) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))) #s(literal 2 binary64)))) (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (- (* (* x x) 2/15) 1/3) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) x) (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (- (* (* x x) 2/15) 1/3) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (- (* (* x x) 2/15) 1/3) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) x) (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (- (* (* x x) 2/15) 1/3) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (- (* (* x x) 2/15) 1/3) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))) #s(literal 3 binary64)) (fma.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (- (* (* x x) 2/15) 1/3) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) x) (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (- (* (* x x) 2/15) 1/3) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (- (* (* x x) 2/15) 1/3) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) x) (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (- (* (* x x) 2/15) 1/3) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))) #s(literal 2 binary64)))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (- (* (* x x) 2/15) 1/3) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (- (* (* x x) 2/15) 1/3) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) x))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 #s(approx (- (* (* x x) 2/15) 1/3) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 x x)))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (- (* (* x x) 2/15) 1/3) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) x)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 #s(approx (- (* (* x x) 2/15) 1/3) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (- (* (* x x) 2/15) 1/3) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) x) (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (- (* (* x x) 2/15) 1/3) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))) #s(literal 2 binary64)))))) |
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(/.f64 (neg.f64 (fma.f64 #s(literal 8/3375 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/27 binary64))) (neg.f64 (+.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 #s(literal 4/225 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 x x) #s(literal -2/45 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 8/3375 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/27 binary64))) (neg.f64 (fma.f64 #s(literal 4/225 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal -2/45 binary64)))))) |
(/.f64 (-.f64 (*.f64 #s(literal 4/225 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/9 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) |
(/.f64 (fma.f64 #s(literal 8/3375 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 #s(literal 4/225 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 x x) #s(literal -2/45 binary64))))) |
(/.f64 (fma.f64 #s(literal 8/3375 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/27 binary64)) (fma.f64 #s(literal 4/225 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal -2/45 binary64))))) |
(fma.f64 (fabs.f64 (*.f64 (*.f64 #s(literal 2/15 binary64) x) (sqrt.f64 x))) (sqrt.f64 x) #s(literal -1/3 binary64)) |
(fma.f64 (fabs.f64 (*.f64 #s(literal 2/15 binary64) x)) x #s(literal -1/3 binary64)) |
(fma.f64 (*.f64 (*.f64 #s(literal 2/15 binary64) x) (sqrt.f64 x)) (sqrt.f64 x) #s(literal -1/3 binary64)) |
(fma.f64 (*.f64 #s(literal 2/15 binary64) x) x #s(literal -1/3 binary64)) |
(fma.f64 (sqrt.f64 x) (fabs.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal 2/15 binary64) x))) #s(literal -1/3 binary64)) |
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 2/15 binary64) x)) #s(literal -1/3 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) |
(fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) |
(fma.f64 x (fabs.f64 (*.f64 #s(literal 2/15 binary64) x)) #s(literal -1/3 binary64)) |
(fma.f64 x (*.f64 #s(literal 2/15 binary64) x) #s(literal -1/3 binary64)) |
(-.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) (/.f64 (*.f64 #s(literal 4/225 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))) |
(-.f64 (/.f64 (*.f64 #s(literal 4/225 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))) |
(-.f64 #s(literal -1/3 binary64) (*.f64 (neg.f64 (*.f64 #s(literal 2/15 binary64) x)) x)) |
(-.f64 #s(literal -1/3 binary64) (*.f64 #s(literal -2/15 binary64) (*.f64 x x))) |
(-.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))) |
(+.f64 (/.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 #s(literal 4/225 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 x x) #s(literal -2/45 binary64))))) (/.f64 (*.f64 #s(literal 8/3375 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 #s(literal 4/225 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 x x) #s(literal -2/45 binary64)))))) |
(+.f64 (/.f64 (*.f64 #s(literal 8/3375 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 #s(literal 4/225 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 x x) #s(literal -2/45 binary64))))) (/.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 #s(literal 4/225 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 x x) #s(literal -2/45 binary64)))))) |
(+.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 #s(literal 4/225 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal -2/45 binary64))))) (/.f64 (*.f64 #s(literal 8/3375 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 4/225 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal -2/45 binary64)))))) |
(+.f64 (/.f64 (*.f64 #s(literal 8/3375 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 4/225 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal -2/45 binary64))))) (/.f64 #s(literal -1/27 binary64) (fma.f64 #s(literal 4/225 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal -2/45 binary64)))))) |
(+.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) |
(+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))) |
(*.f64 (fabs.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 x)) |
(*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) (fabs.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 x) (fabs.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 x)))) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 x) (sqrt.f64 x))) |
(*.f64 #s(literal 2 binary64) x) |
(*.f64 x #s(literal 2 binary64)) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 x x))) (neg.f64 (*.f64 #s(literal 2 binary64) x))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x))))) |
(/.f64 (fabs.f64 (-.f64 (*.f64 x x) (*.f64 x x))) (*.f64 #s(literal 2 binary64) x)) |
(/.f64 (fabs.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fabs.f64 (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x))))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 x x)) (*.f64 #s(literal 2 binary64) x)) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x)))) |
(fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 1/4 binary64)) x) |
(fma.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/4 binary64)) x) |
(fma.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) x x) |
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3/2 binary64))) x) |
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) x) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) x) |
(fma.f64 #s(literal 1 binary64) x x) |
(fma.f64 x (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) x) |
(fma.f64 x #s(literal 1 binary64) x) |
(sqrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x))) |
(-.f64 (/.f64 (*.f64 x x) (*.f64 #s(literal 2 binary64) x)) (/.f64 (*.f64 x x) (*.f64 #s(literal 2 binary64) x))) |
(-.f64 x x) |
(fabs.f64 (neg.f64 (*.f64 #s(literal 2 binary64) x))) |
(fabs.f64 (*.f64 #s(literal 2 binary64) x)) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x))))) |
(+.f64 x x) |
(*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) (sqrt.f64 x)) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)))) |
(*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x) |
(*.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x) (*.f64 (*.f64 #s(literal 2 binary64) x) x) (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x) (*.f64 #s(literal -2 binary64) x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -2 binary64) x) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x) (*.f64 (*.f64 #s(literal 2 binary64) x) x)) (*.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 (*.f64 #s(literal 2 binary64) x) x))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) #s(literal 4 binary64)) x)) (neg.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal -2 binary64)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -8 binary64)) x)) (neg.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) (-.f64 #s(literal 4 binary64) (*.f64 x #s(literal -4 binary64)))))) |
(/.f64 (neg.f64 (*.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) #s(literal 4 binary64)))) (neg.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal -2 binary64)))) |
(/.f64 (neg.f64 (*.f64 x (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -8 binary64)))) (neg.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) (-.f64 #s(literal 4 binary64) (*.f64 x #s(literal -4 binary64)))))) |
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) #s(literal 4 binary64)) x) (-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal -2 binary64))) |
(/.f64 (*.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -8 binary64)) x) (fma.f64 #s(literal 4 binary64) (*.f64 x x) (-.f64 #s(literal 4 binary64) (*.f64 x #s(literal -4 binary64))))) |
(/.f64 (*.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal -2 binary64))) |
(/.f64 (*.f64 x (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -8 binary64))) (fma.f64 #s(literal 4 binary64) (*.f64 x x) (-.f64 #s(literal 4 binary64) (*.f64 x #s(literal -4 binary64))))) |
(fma.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 #s(literal -2 binary64) x)) |
(fma.f64 (sqrt.f64 x) (log.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (sqrt.f64 x))) (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal -2 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 2 binary64) x)) (*.f64 #s(literal -2 binary64) x)) |
(fma.f64 (*.f64 #s(literal 2 binary64) x) x (*.f64 #s(literal -2 binary64) x)) |
(fma.f64 #s(literal -2 binary64) (log.f64 (exp.f64 x)) (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
(fma.f64 #s(literal -2 binary64) x (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
(fma.f64 #s(literal 2 binary64) (*.f64 x x) (*.f64 #s(literal -2 binary64) x)) |
(fma.f64 (*.f64 x x) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) x)) |
(fma.f64 x (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -2 binary64) x)) |
(fma.f64 x #s(literal -2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
(+.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x) (*.f64 #s(literal -2 binary64) x)) |
(+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
Compiled 17 610 to 2 110 computations (88% saved)
17 alts after pruning (10 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 445 | 9 | 454 |
| Fresh | 0 | 1 | 1 |
| Picked | 2 | 3 | 5 |
| Done | 2 | 4 | 6 |
| Total | 449 | 17 | 466 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 52.7% | (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) |
| 26.9% | (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (- (* (+ (* -4/3 x) 2) x) 2) x) 2) (*.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x)))) #s(literal 1 binary64)) | |
| ✓ | 26.4% | (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* x 2) -2) x) 2) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x)))) #s(literal 1 binary64)) |
| 26.8% | (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* x 2) -2) x) 2) (*.f64 (+.f64 x x) x)))) #s(literal 1 binary64)) | |
| 27.2% | (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* x 2) -2) x) 2) (*.f64 (fabs.f64 (*.f64 #s(literal 2 binary64) x)) x)))) #s(literal 1 binary64)) | |
| 5.8% | (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (/.f64 (*.f64 x x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (neg.f64 (fma.f64 x x #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))))) #s(literal 1 binary64)) | |
| 3.1% | (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (/.f64 (*.f64 x x) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))))) #s(literal 1 binary64)) | |
| 3.2% | (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (/.f64 x (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 x (-.f64 (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))))) #s(literal 1 binary64)) | |
| ✓ | 3.2% | (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) #s(literal 1 binary64)) |
| 6.3% | (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) | |
| 4.5% | (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (- (* x x) 1) (*.f64 x x)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) | |
| 29.1% | (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (- (* x x) 1) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) | |
| ✓ | 6.7% | (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) |
| 4.6% | (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(approx (+ (* (sqrt x) (sqrt x)) 1) x)) #s(literal 1 binary64)) | |
| ✓ | 4.4% | (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64)) |
| ✓ | 51.8% | #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) x)) |
| ✓ | 53.3% | #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 #s(approx (- (* (* x x) 2/15) 1/3) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64))) (*.f64 x x)) x x)) |
Compiled 1 055 to 473 computations (55.2% saved)
| Inputs |
|---|
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(approx (+ (* (sqrt x) (sqrt x)) 1) x)) #s(literal 1 binary64)) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) |
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) x)) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (- (* x x) 1) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (- (* x x) 1) (*.f64 x x)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* x 2) -2) x) 2) (*.f64 (+.f64 x x) x)))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* x 2) -2) x) 2) (*.f64 (*.f64 #s(literal 2 binary64) x) x)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* x 2) -2) x) 2) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x)))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* x 2) -2) x) 2) (*.f64 (fabs.f64 (*.f64 #s(literal 2 binary64) x)) x)))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64)) |
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 #s(approx (- (* (* x x) 2/15) 1/3) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64))) (*.f64 x x)) x x)) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64)) |
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (*.f64 x x)) x x)) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (- (* (+ (* -4/3 x) 2) x) 2) x) 2) (*.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x)))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (exp (* -2 x)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) x #s(literal 1 binary64))))) #s(literal 1 binary64)) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (/.f64 x (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 x (-.f64 (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))))) #s(literal 1 binary64)) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (/.f64 (*.f64 x x) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))))) #s(literal 1 binary64)) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (/.f64 (*.f64 x x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (neg.f64 (fma.f64 x x #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))))) #s(literal 1 binary64)) |
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)) |
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x)) |
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) |
| Outputs |
|---|
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) |
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) x)) |
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) |
6 calls:
| 8.0ms | (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) |
| 8.0ms | x |
| 8.0ms | (*.f64 #s(literal -2 binary64) x) |
| 6.0ms | (exp.f64 (*.f64 #s(literal -2 binary64) x)) |
| 6.0ms | (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 3 | (*.f64 #s(literal -2 binary64) x) |
| 100.0% | 3 | (exp.f64 (*.f64 #s(literal -2 binary64) x)) |
| 100.0% | 3 | (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) |
| 100.0% | 3 | (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) |
| 100.0% | 3 | (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) |
| 100.0% | 3 | x |
Compiled 32 to 31 computations (3.1% saved)
| Inputs |
|---|
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(approx (+ (* (sqrt x) (sqrt x)) 1) x)) #s(literal 1 binary64)) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) |
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) x)) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (- (* x x) 1) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (- (* x x) 1) (*.f64 x x)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* x 2) -2) x) 2) (*.f64 (+.f64 x x) x)))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* x 2) -2) x) 2) (*.f64 (*.f64 #s(literal 2 binary64) x) x)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* x 2) -2) x) 2) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x)))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* x 2) -2) x) 2) (*.f64 (fabs.f64 (*.f64 #s(literal 2 binary64) x)) x)))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64)) |
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 #s(approx (- (* (* x x) 2/15) 1/3) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64))) (*.f64 x x)) x x)) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64)) |
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (*.f64 x x)) x x)) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (- (* (+ (* -4/3 x) 2) x) 2) x) 2) (*.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x)))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (exp (* -2 x)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) x #s(literal 1 binary64))))) #s(literal 1 binary64)) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (/.f64 x (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 x (-.f64 (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))))) #s(literal 1 binary64)) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (/.f64 (*.f64 x x) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))))) #s(literal 1 binary64)) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (/.f64 (*.f64 x x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (neg.f64 (fma.f64 x x #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))))) #s(literal 1 binary64)) |
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)) |
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x)) |
| Outputs |
|---|
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (- (* (+ (* -4/3 x) 2) x) 2) x) 2) (*.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x)))) #s(literal 1 binary64)) |
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 #s(approx (- (* (* x x) 2/15) 1/3) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64))) (*.f64 x x)) x x)) |
6 calls:
| 18.0ms | (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) |
| 7.0ms | x |
| 7.0ms | (*.f64 #s(literal -2 binary64) x) |
| 6.0ms | (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) |
| 6.0ms | (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 77.7% | 2 | (*.f64 #s(literal -2 binary64) x) |
| 77.7% | 2 | (exp.f64 (*.f64 #s(literal -2 binary64) x)) |
| 77.7% | 2 | (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) |
| 77.7% | 2 | (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) |
| 77.7% | 2 | (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) |
| 77.7% | 2 | x |
Compiled 32 to 31 computations (3.1% saved)
| Inputs |
|---|
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(approx (+ (* (sqrt x) (sqrt x)) 1) x)) #s(literal 1 binary64)) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) |
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) x)) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (- (* x x) 1) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (- (* x x) 1) (*.f64 x x)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* x 2) -2) x) 2) (*.f64 (+.f64 x x) x)))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* x 2) -2) x) 2) (*.f64 (*.f64 #s(literal 2 binary64) x) x)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* x 2) -2) x) 2) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x)))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* x 2) -2) x) 2) (*.f64 (fabs.f64 (*.f64 #s(literal 2 binary64) x)) x)))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64)) |
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 #s(approx (- (* (* x x) 2/15) 1/3) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64))) (*.f64 x x)) x x)) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64)) |
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (*.f64 x x)) x x)) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) #s(literal 1 binary64)) |
| Outputs |
|---|
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* x 2) -2) x) 2) (*.f64 (fabs.f64 (*.f64 #s(literal 2 binary64) x)) x)))) #s(literal 1 binary64)) |
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 #s(approx (- (* (* x x) 2/15) 1/3) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64))) (*.f64 x x)) x x)) |
6 calls:
| 10.0ms | (*.f64 #s(literal -2 binary64) x) |
| 5.0ms | x |
| 4.0ms | (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) |
| 4.0ms | (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) |
| 4.0ms | (exp.f64 (*.f64 #s(literal -2 binary64) x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 77.6% | 2 | (exp.f64 (*.f64 #s(literal -2 binary64) x)) |
| 77.6% | 2 | (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) |
| 77.6% | 2 | x |
| 77.6% | 2 | (*.f64 #s(literal -2 binary64) x) |
| 77.6% | 2 | (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) |
| 77.6% | 2 | (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) |
Compiled 32 to 31 computations (3.1% saved)
| Inputs |
|---|
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(approx (+ (* (sqrt x) (sqrt x)) 1) x)) #s(literal 1 binary64)) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) |
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) x)) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (- (* x x) 1) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (- (* x x) 1) (*.f64 x x)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* x 2) -2) x) 2) (*.f64 (+.f64 x x) x)))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* x 2) -2) x) 2) (*.f64 (*.f64 #s(literal 2 binary64) x) x)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* x 2) -2) x) 2) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x)))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* x 2) -2) x) 2) (*.f64 (fabs.f64 (*.f64 #s(literal 2 binary64) x)) x)))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64)) |
| Outputs |
|---|
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* x 2) -2) x) 2) (*.f64 (fabs.f64 (*.f64 #s(literal 2 binary64) x)) x)))) #s(literal 1 binary64)) |
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) x)) |
6 calls:
| 8.0ms | (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) |
| 4.0ms | (*.f64 #s(literal -2 binary64) x) |
| 4.0ms | x |
| 3.0ms | (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) |
| 3.0ms | (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 76.9% | 2 | x |
| 76.9% | 2 | (*.f64 #s(literal -2 binary64) x) |
| 76.9% | 2 | (exp.f64 (*.f64 #s(literal -2 binary64) x)) |
| 76.9% | 2 | (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) |
| 76.9% | 2 | (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) |
| 76.9% | 2 | (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) |
Compiled 32 to 31 computations (3.1% saved)
| Inputs |
|---|
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(approx (+ (* (sqrt x) (sqrt x)) 1) x)) #s(literal 1 binary64)) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) |
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) x)) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (- (* x x) 1) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (- (* x x) 1) (*.f64 x x)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* x 2) -2) x) 2) (*.f64 (+.f64 x x) x)))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* x 2) -2) x) 2) (*.f64 (*.f64 #s(literal 2 binary64) x) x)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* x 2) -2) x) 2) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x)))) #s(literal 1 binary64)) |
| Outputs |
|---|
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* x 2) -2) x) 2) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x)))) #s(literal 1 binary64)) |
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) x)) |
6 calls:
| 7.0ms | (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) |
| 4.0ms | x |
| 4.0ms | (*.f64 #s(literal -2 binary64) x) |
| 3.0ms | (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) |
| 3.0ms | (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 76.9% | 2 | (*.f64 #s(literal -2 binary64) x) |
| 76.9% | 2 | (exp.f64 (*.f64 #s(literal -2 binary64) x)) |
| 76.9% | 2 | (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) |
| 76.9% | 2 | (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) |
| 76.9% | 2 | (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) |
| 76.9% | 2 | x |
Compiled 32 to 31 computations (3.1% saved)
| Inputs |
|---|
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(approx (+ (* (sqrt x) (sqrt x)) 1) x)) #s(literal 1 binary64)) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) |
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) x)) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (- (* x x) 1) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (- (* x x) 1) (*.f64 x x)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* x 2) -2) x) 2) (*.f64 (+.f64 x x) x)))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* x 2) -2) x) 2) (*.f64 (*.f64 #s(literal 2 binary64) x) x)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) |
| Outputs |
|---|
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* x 2) -2) x) 2) (*.f64 (+.f64 x x) x)))) #s(literal 1 binary64)) |
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) x)) |
6 calls:
| 8.0ms | (exp.f64 (*.f64 #s(literal -2 binary64) x)) |
| 4.0ms | (*.f64 #s(literal -2 binary64) x) |
| 4.0ms | x |
| 3.0ms | (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) |
| 3.0ms | (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 76.9% | 2 | (*.f64 #s(literal -2 binary64) x) |
| 76.9% | 2 | (exp.f64 (*.f64 #s(literal -2 binary64) x)) |
| 76.9% | 2 | (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) |
| 76.9% | 2 | (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) |
| 76.9% | 2 | (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) |
| 76.9% | 2 | x |
Compiled 32 to 31 computations (3.1% saved)
| Inputs |
|---|
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(approx (+ (* (sqrt x) (sqrt x)) 1) x)) #s(literal 1 binary64)) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) |
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) x)) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (- (* x x) 1) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (- (* x x) 1) (*.f64 x x)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) |
| Outputs |
|---|
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (- (* x x) 1) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) |
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) x)) |
6 calls:
| 3.0ms | x |
| 3.0ms | (*.f64 #s(literal -2 binary64) x) |
| 2.0ms | (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) |
| 2.0ms | (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) |
| 2.0ms | (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 76.6% | 2 | (*.f64 #s(literal -2 binary64) x) |
| 76.6% | 2 | (exp.f64 (*.f64 #s(literal -2 binary64) x)) |
| 76.6% | 2 | (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) |
| 76.6% | 2 | (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) |
| 76.6% | 2 | (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) |
| 76.6% | 2 | x |
Compiled 32 to 31 computations (3.1% saved)
| Inputs |
|---|
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(approx (+ (* (sqrt x) (sqrt x)) 1) x)) #s(literal 1 binary64)) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) |
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) x)) |
| Outputs |
|---|
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) x)) |
6 calls:
| 8.0ms | (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) |
| 2.0ms | x |
| 2.0ms | (*.f64 #s(literal -2 binary64) x) |
| 2.0ms | (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) |
| 2.0ms | (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 51.8% | 1 | (*.f64 #s(literal -2 binary64) x) |
| 51.8% | 1 | (exp.f64 (*.f64 #s(literal -2 binary64) x)) |
| 51.8% | 1 | (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) |
| 51.8% | 1 | (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) |
| 51.8% | 1 | (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) |
| 51.8% | 1 | x |
Compiled 32 to 31 computations (3.1% saved)
| Inputs |
|---|
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(approx (+ (* (sqrt x) (sqrt x)) 1) x)) #s(literal 1 binary64)) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) |
| Outputs |
|---|
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
6 calls:
| 2.0ms | (*.f64 #s(literal -2 binary64) x) |
| 2.0ms | x |
| 1.0ms | (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) |
| 1.0ms | (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) |
| 1.0ms | (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 6.7% | 1 | x |
| 6.7% | 1 | (exp.f64 (*.f64 #s(literal -2 binary64) x)) |
| 6.7% | 1 | (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) |
| 6.7% | 1 | (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) |
| 6.7% | 1 | (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) |
| 6.7% | 1 | (*.f64 #s(literal -2 binary64) x) |
Compiled 32 to 31 computations (3.1% saved)
| Inputs |
|---|
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(approx (+ (* (sqrt x) (sqrt x)) 1) x)) #s(literal 1 binary64)) |
| Outputs |
|---|
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(approx (+ (* (sqrt x) (sqrt x)) 1) x)) #s(literal 1 binary64)) |
6 calls:
| 1.0ms | x |
| 1.0ms | (*.f64 #s(literal -2 binary64) x) |
| 1.0ms | (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) |
| 1.0ms | (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) |
| 1.0ms | (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 4.6% | 1 | (*.f64 #s(literal -2 binary64) x) |
| 4.6% | 1 | (exp.f64 (*.f64 #s(literal -2 binary64) x)) |
| 4.6% | 1 | (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) |
| 4.6% | 1 | x |
| 4.6% | 1 | (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) |
| 4.6% | 1 | (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) |
Compiled 32 to 31 computations (3.1% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64)) |
| Outputs |
|---|
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64)) |
6 calls:
| 7.0ms | x |
| 1.0ms | (*.f64 #s(literal -2 binary64) x) |
| 1.0ms | (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) |
| 1.0ms | (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) |
| 1.0ms | (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 4.4% | 1 | (*.f64 #s(literal -2 binary64) x) |
| 4.4% | 1 | (exp.f64 (*.f64 #s(literal -2 binary64) x)) |
| 4.4% | 1 | (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) |
| 4.4% | 1 | (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) |
| 4.4% | 1 | (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) |
| 4.4% | 1 | x |
Compiled 32 to 31 computations (3.1% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 2.3117523001057622e-10 | 925.163604259488 |
| 10.0ms | -0.018622485210915418 | -7.519348530610034e-5 |
| 15.0ms | 272× | 0 | valid |
Compiled 506 to 438 computations (13.4% saved)
ival-exp: 3.0ms (31.1% of total)ival-div: 2.0ms (20.7% of total)ival-mult: 2.0ms (20.7% of total)ival-add: 1.0ms (10.4% of total)ival-sub: 1.0ms (10.4% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -1.0 | -0.018620332769107795 |
Compiled 13 to 13 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -1.0 | -0.018620332769107795 |
Compiled 13 to 13 computations (0% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 13.0ms | -184074.66287032084 | -0.018622485210915418 |
| 8.0ms | 144× | 0 | valid |
Compiled 427 to 337 computations (21.1% saved)
ival-exp: 2.0ms (38.8% of total)ival-div: 1.0ms (19.4% of total)ival-add: 1.0ms (19.4% of total)ival-mult: 1.0ms (19.4% of total)ival-sub: 1.0ms (19.4% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 6.0ms | -184074.66287032084 | -0.018622485210915418 |
| 3.0ms | 48× | 0 | valid |
Compiled 427 to 337 computations (21.1% saved)
ival-exp: 1.0ms (53.8% of total)ival-div: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)ival-mult: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-sub: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | -184074.66287032084 | -0.018622485210915418 |
Compiled 418 to 328 computations (21.5% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 3.0ms | -184074.66287032084 | -0.018622485210915418 |
| 1.0ms | 16× | 0 | valid |
Compiled 382 to 310 computations (18.8% saved)
ival-div: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)ival-exp: 0.0ms (0% of total)ival-mult: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-sub: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 103 | 443 |
| 1 | 157 | 443 |
| 2 | 331 | 443 |
| 3 | 928 | 443 |
| 4 | 2109 | 443 |
| 5 | 5806 | 443 |
| 1× | node limit |
| Inputs |
|---|
(if (<=.f64 x #s(literal -8762203435012037/9223372036854775808 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) (if (<=.f64 x #s(literal 6456360425798343/9223372036854775808 binary64)) #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) x)) (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)))) |
(if (<=.f64 (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (- (* (+ (* -4/3 x) 2) x) 2) x) 2) (*.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x)))) #s(literal 1 binary64)) #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 #s(approx (- (* (* x x) 2/15) 1/3) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64))) (*.f64 x x)) x x))) |
(if (<=.f64 (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* x 2) -2) x) 2) (*.f64 (fabs.f64 (*.f64 #s(literal 2 binary64) x)) x)))) #s(literal 1 binary64)) #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 #s(approx (- (* (* x x) 2/15) 1/3) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64))) (*.f64 x x)) x x))) |
(if (<=.f64 x #s(literal -3152519739159347/2251799813685248 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* x 2) -2) x) 2) (*.f64 (fabs.f64 (*.f64 #s(literal 2 binary64) x)) x)))) #s(literal 1 binary64)) #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) x))) |
(if (<=.f64 x #s(literal -5404319552844595/4503599627370496 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* x 2) -2) x) 2) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x)))) #s(literal 1 binary64)) #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) x))) |
(if (<=.f64 x #s(literal -3152519739159347/2251799813685248 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* x 2) -2) x) 2) (*.f64 (+.f64 x x) x)))) #s(literal 1 binary64)) #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) x))) |
(if (<=.f64 x #s(literal -5854679515581645/4503599627370496 binary64)) (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (- (* x x) 1) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) x))) |
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) x)) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(approx (+ (* (sqrt x) (sqrt x)) 1) x)) #s(literal 1 binary64)) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64)) |
| Outputs |
|---|
(if (<=.f64 x #s(literal -8762203435012037/9223372036854775808 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) (if (<=.f64 x #s(literal 6456360425798343/9223372036854775808 binary64)) #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) x)) (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)))) |
(if (or (<=.f64 x #s(literal -8762203435012037/9223372036854775808 binary64)) (not (<=.f64 x #s(literal 6456360425798343/9223372036854775808 binary64)))) (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) x))) |
(if (<=.f64 (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (- (* (+ (* -4/3 x) 2) x) 2) x) 2) (*.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x)))) #s(literal 1 binary64)) #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 #s(approx (- (* (* x x) 2/15) 1/3) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64))) (*.f64 x x)) x x))) |
(if (<=.f64 (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* x 2) -2) x) 2) (*.f64 (fabs.f64 (*.f64 #s(literal 2 binary64) x)) x)))) #s(literal 1 binary64)) #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 #s(approx (- (* (* x x) 2/15) 1/3) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64))) (*.f64 x x)) x x))) |
(if (<=.f64 x #s(literal -3152519739159347/2251799813685248 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* x 2) -2) x) 2) (*.f64 (fabs.f64 (*.f64 #s(literal 2 binary64) x)) x)))) #s(literal 1 binary64)) #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) x))) |
(if (<=.f64 x #s(literal -5404319552844595/4503599627370496 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* x 2) -2) x) 2) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x)))) #s(literal 1 binary64)) #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) x))) |
(if (<=.f64 x #s(literal -3152519739159347/2251799813685248 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* x 2) -2) x) 2) (*.f64 (+.f64 x x) x)))) #s(literal 1 binary64)) #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) x))) |
(if (<=.f64 x #s(literal -5854679515581645/4503599627370496 binary64)) (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (- (* x x) 1) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) x))) |
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) x)) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(approx (+ (* (sqrt x) (sqrt x)) 1) x)) #s(literal 1 binary64)) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 161 |
| 1 | 146 | 161 |
| 2 | 393 | 151 |
| 3 | 1320 | 151 |
| 4 | 3176 | 151 |
| 5 | 7220 | 151 |
| 0 | 8240 | 137 |
| 0 | 46 | 370 |
| 0 | 68 | 335 |
| 1 | 301 | 333 |
| 2 | 2006 | 333 |
| 0 | 9562 | 322 |
| 0 | 96 | 327 |
| 1 | 265 | 317 |
| 2 | 730 | 315 |
| 3 | 2613 | 315 |
| 0 | 8383 | 290 |
| 0 | 97 | 337 |
| 1 | 267 | 337 |
| 2 | 736 | 323 |
| 3 | 3345 | 323 |
| 0 | 8521 | 312 |
| 0 | 114 | 399 |
| 1 | 320 | 381 |
| 2 | 1035 | 380 |
| 3 | 4069 | 372 |
| 0 | 8277 | 343 |
| 0 | 35 | 219 |
| 0 | 55 | 219 |
| 1 | 230 | 219 |
| 2 | 1702 | 219 |
| 0 | 8858 | 219 |
| 0 | 35 | 244 |
| 0 | 55 | 236 |
| 1 | 233 | 236 |
| 2 | 1727 | 236 |
| 0 | 8098 | 230 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 447 to 109 computations (75.6% saved)
Compiled 914 to 236 computations (74.2% saved)
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