
Time bar (total: 7.3s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 1 |
| 100% | 100% | 0% | 0% | 0% | 0% | 0% | 2 |
Compiled 15 to 9 computations (40% saved)
| 2.1s | 3 146× | 2 | valid |
| 1.1s | 4 642× | 1 | valid |
| 651.0ms | 7 763× | 0 | exit |
| 30.0ms | 468× | 0 | valid |
ival-exp: 2.0s (60.7% of total)adjust: 412.0ms (12.2% of total)ival-add: 276.0ms (8.2% of total)ival-sub: 274.0ms (8.1% of total)ival-div: 240.0ms (7.1% of total)ival-neg: 104.0ms (3.1% of total)ival-true: 12.0ms (0.4% of total)ival-assert: 6.0ms (0.2% of total)| 1× | egg-herbie |
| 689× | fma-define |
| 254× | fmm-def |
| 158× | div-sub |
| 128× | times-frac |
| 115× | distribute-lft-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 220 |
| 1 | 51 | 220 |
| 2 | 108 | 220 |
| 3 | 238 | 220 |
| 4 | 576 | 220 |
| 5 | 1291 | 220 |
| 6 | 2486 | 220 |
| 7 | 2564 | 220 |
| 8 | 2599 | 220 |
| 9 | 2630 | 220 |
| 10 | 2668 | 220 |
| 11 | 2684 | 220 |
| 12 | 2692 | 220 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 (neg.f64 x)))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 (neg.f64 x))))) |
(neg.f64 (/.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 (neg.f64 x)))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 (neg.f64 x)))))) |
| Outputs |
|---|
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 (neg.f64 x)))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 (neg.f64 x))))) |
(/.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(neg.f64 (/.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 (neg.f64 x)))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 (neg.f64 x)))))) |
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(negabs x)
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 252 | 0 | - | 0 | - | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| 3 | 0 | - | 0 | - | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| 0 | 0 | - | 0 | - | (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| 0 | 0 | - | 0 | - | (exp.f64 x) |
| 0 | 1 | (708.4110764929958) | 0 | - | (exp.f64 (neg.f64 x)) |
| 0 | 0 | - | 0 | - | (neg.f64 x) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
-.f64 | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) | cancellation | 252 | 0 |
/.f64 | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) | o/o | 3 | 0 |
| ↳ | (exp.f64 x) | overflow | 3 | |
| ↳ | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) | overflow | 3 | |
| ↳ | (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) | overflow | 3 | |
| ↳ | (exp.f64 x) | overflow | 3 | |
exp.f64 | (exp.f64 (neg.f64 x)) | sensitivity | 1 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 255 | 0 |
| - | 1 | 0 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 255 | 0 | 0 |
| - | 1 | 0 | 0 |
| number | freq |
|---|---|
| 1 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 135.0ms | 338× | 1 | valid |
| 58.0ms | 148× | 2 | valid |
| 2.0ms | 26× | 0 | valid |
Compiled 98 to 32 computations (67.3% saved)
ival-exp: 62.0ms (65.8% of total)ival-div: 9.0ms (9.5% of total)adjust: 7.0ms (7.4% of total)ival-add: 5.0ms (5.3% of total)ival-neg: 5.0ms (5.3% of total)ival-sub: 5.0ms (5.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)Compiled 1 to 1 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 8.7% | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
Compiled 14 to 7 computations (50% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (exp.f64 (neg.f64 x)) |
| ✓ | cost-diff | 0 | (exp.f64 x) |
| ✓ | cost-diff | 0 | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| ✓ | cost-diff | 0 | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| 318× | fma-define |
| 299× | fmm-def |
| 100× | div-sub |
| 98× | times-frac |
| 62× | distribute-lft-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 137 |
| 1 | 24 | 137 |
| 2 | 44 | 137 |
| 3 | 71 | 137 |
| 4 | 132 | 137 |
| 5 | 304 | 137 |
| 6 | 573 | 137 |
| 7 | 877 | 137 |
| 8 | 1325 | 137 |
| 9 | 1596 | 137 |
| 10 | 1746 | 137 |
| 11 | 1831 | 137 |
| 12 | 1845 | 137 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(exp.f64 x) |
x |
(exp.f64 (neg.f64 x)) |
(neg.f64 x) |
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| Outputs |
|---|
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(exp.f64 x) |
x |
(exp.f64 (neg.f64 x)) |
(neg.f64 x) |
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (exp.f64 x) |
| ✓ | accuracy | 100.0% | (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| ✓ | accuracy | 98.9% | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| ✓ | accuracy | 9.9% | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| 112.0ms | 74× | 2 | valid |
| 28.0ms | 169× | 1 | valid |
| 1.0ms | 13× | 0 | valid |
Compiled 35 to 9 computations (74.3% saved)
ival-exp: 116.0ms (89% of total)ival-div: 3.0ms (2.3% of total)adjust: 3.0ms (2.3% of total)ival-add: 3.0ms (2.3% of total)ival-sub: 3.0ms (2.3% of total)ival-neg: 2.0ms (1.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))> |
#<alt (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))> |
#<alt (exp.f64 x)> |
#<alt (exp.f64 (neg.f64 x))> |
#<alt (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))> |
| Outputs |
|---|
#<alt x> |
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))> |
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))))> |
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/15 binary64) (*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/3 binary64)))))> |
#<alt (/.f64 (-.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))) (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))))> |
#<alt (/.f64 (-.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))) (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))))> |
#<alt (/.f64 (-.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))) (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))))> |
#<alt (/.f64 (-.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))) (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))))> |
#<alt (*.f64 #s(literal 2 binary64) x)> |
#<alt (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))> |
#<alt (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)))))))> |
#<alt (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/60 binary64) (*.f64 #s(literal 1/2520 binary64) (pow.f64 x #s(literal 2 binary64)))))))))> |
#<alt (-.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))> |
#<alt (-.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))> |
#<alt (-.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))> |
#<alt (-.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))> |
#<alt #s(literal 1 binary64)> |
#<alt (+.f64 #s(literal 1 binary64) x)> |
#<alt (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))> |
#<alt (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))))> |
#<alt #s(literal 1 binary64)> |
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))> |
#<alt (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))> |
#<alt (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64))))> |
#<alt (exp.f64 (*.f64 #s(literal -1 binary64) x))> |
#<alt (exp.f64 (*.f64 #s(literal -1 binary64) x))> |
#<alt (exp.f64 (*.f64 #s(literal -1 binary64) x))> |
#<alt (exp.f64 (*.f64 #s(literal -1 binary64) x))> |
#<alt #s(literal 2 binary64)> |
#<alt (+.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))> |
#<alt (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))))))> |
#<alt (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64))))))))> |
#<alt (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))> |
#<alt (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))> |
#<alt (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))> |
#<alt (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))> |
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) |
| 1.0ms | x | @ | inf | (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) |
| 1.0ms | x | @ | 0 | (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) |
| 0.0ms | x | @ | 0 | (- (exp x) (exp (neg x))) |
| 0.0ms | x | @ | 0 | (+ (exp x) (exp (neg x))) |
| 1× | batch-egg-rewrite |
| 80× | add-exp-log |
| 80× | add-log-exp |
| 80× | add-cube-cbrt |
| 78× | log1p-expm1-u |
| 78× | expm1-log1p-u |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 40 |
| 1 | 174 | 40 |
| 2 | 3404 | 40 |
| 1× | unsound |
| Inputs |
|---|
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(exp.f64 x) |
(exp.f64 (neg.f64 x)) |
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| Outputs |
|---|
#s(literal -2 binary64) |
#s(literal -1 binary64) |
#s(literal 0 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(literal 3/2 binary64) |
#s(literal 2 binary64) |
#s(literal 3 binary64) |
#s(literal 4 binary64) |
#s(literal -2 binary64) |
#s(literal -1 binary64) |
#s(literal 0 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(literal 3/2 binary64) |
#s(literal 2 binary64) |
#s(literal 3 binary64) |
#s(literal 4 binary64) |
#s(literal -2 binary64) |
#s(literal -1 binary64) |
#s(literal 0 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(literal 3/2 binary64) |
#s(literal 2 binary64) |
#s(literal 3 binary64) |
#s(literal 4 binary64) |
#s(literal -2 binary64) |
#s(literal -1 binary64) |
#s(literal 0 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(literal 3/2 binary64) |
#s(literal 2 binary64) |
#s(literal 3 binary64) |
#s(literal 4 binary64) |
#s(literal -2 binary64) |
#s(literal -1 binary64) |
#s(literal 0 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(literal 3/2 binary64) |
#s(literal 2 binary64) |
#s(literal 3 binary64) |
#s(literal 4 binary64) |
| 1× | egg-herbie |
| 573× | distribute-lft-in |
| 537× | distribute-rgt-in |
| 508× | fmm-def |
| 396× | fma-define |
| 345× | sub-neg |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 95 | 1127 |
| 1 | 262 | 1030 |
| 2 | 713 | 1006 |
| 3 | 2117 | 1006 |
| 4 | 3093 | 1006 |
| 5 | 4606 | 1006 |
| 6 | 5288 | 1006 |
| 7 | 6693 | 1006 |
| 1× | node limit |
| Inputs |
|---|
x |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/15 binary64) (*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/3 binary64))))) |
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))) (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))) |
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))) (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))) |
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))) (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))) |
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))) (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))) |
(*.f64 #s(literal 2 binary64) x) |
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))))) |
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64))))))) |
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/60 binary64) (*.f64 #s(literal 1/2520 binary64) (pow.f64 x #s(literal 2 binary64))))))))) |
(-.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))) |
(-.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))) |
(-.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))) |
(-.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))) |
#s(literal 1 binary64) |
(+.f64 #s(literal 1 binary64) x) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))))) |
#s(literal 1 binary64) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)) |
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64)))) |
(exp.f64 (*.f64 #s(literal -1 binary64) x)) |
(exp.f64 (*.f64 #s(literal -1 binary64) x)) |
(exp.f64 (*.f64 #s(literal -1 binary64) x)) |
(exp.f64 (*.f64 #s(literal -1 binary64) x)) |
#s(literal 2 binary64) |
(+.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) |
(+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))))) |
(+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)))))))) |
(+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))) |
(+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))) |
(+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))) |
(+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))) |
#s(literal -2 binary64) |
#s(literal -1 binary64) |
#s(literal 0 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(literal 3/2 binary64) |
#s(literal 2 binary64) |
#s(literal 3 binary64) |
#s(literal 4 binary64) |
#s(literal -2 binary64) |
#s(literal -1 binary64) |
#s(literal 0 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(literal 3/2 binary64) |
#s(literal 2 binary64) |
#s(literal 3 binary64) |
#s(literal 4 binary64) |
#s(literal -2 binary64) |
#s(literal -1 binary64) |
#s(literal 0 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(literal 3/2 binary64) |
#s(literal 2 binary64) |
#s(literal 3 binary64) |
#s(literal 4 binary64) |
#s(literal -2 binary64) |
#s(literal -1 binary64) |
#s(literal 0 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(literal 3/2 binary64) |
#s(literal 2 binary64) |
#s(literal 3 binary64) |
#s(literal 4 binary64) |
#s(literal -2 binary64) |
#s(literal -1 binary64) |
#s(literal 0 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(literal 3/2 binary64) |
#s(literal 2 binary64) |
#s(literal 3 binary64) |
#s(literal 4 binary64) |
| Outputs |
|---|
x |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64))))) |
(*.f64 x (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) |
(fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/3 binary64))))) |
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/15 binary64) (*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/3 binary64))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/15 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64))) #s(literal -1/3 binary64))))) |
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/15 binary64) (fma.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/3 binary64))) (pow.f64 x #s(literal 3 binary64)) x) |
(fma.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x) |
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))) (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))) |
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))) (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))) |
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))) (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))) |
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))) (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))) |
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(*.f64 #s(literal 2 binary64) x) |
(*.f64 x #s(literal 2 binary64)) |
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))))) |
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)))) |
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64) #s(literal 2 binary64))) |
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64))))))) |
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/60 binary64)))))) |
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64))) |
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64) (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64)))) |
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/60 binary64) (*.f64 #s(literal 1/2520 binary64) (pow.f64 x #s(literal 2 binary64))))))))) |
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/60 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2520 binary64)))))))) |
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))) |
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64) (fma.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64)))) |
(-.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))) |
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(-.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))) |
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(-.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))) |
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(-.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))) |
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
#s(literal 1 binary64) |
(+.f64 #s(literal 1 binary64) x) |
(+.f64 x #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) |
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)) |
(+.f64 #s(literal 1 binary64) (neg.f64 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)))) |
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))) #s(literal -1 binary64)))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(exp.f64 (*.f64 #s(literal -1 binary64) x)) |
(exp.f64 (neg.f64 x)) |
(exp.f64 (*.f64 #s(literal -1 binary64) x)) |
(exp.f64 (neg.f64 x)) |
(exp.f64 (*.f64 #s(literal -1 binary64) x)) |
(exp.f64 (neg.f64 x)) |
(exp.f64 (*.f64 #s(literal -1 binary64) x)) |
(exp.f64 (neg.f64 x)) |
#s(literal 2 binary64) |
(+.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) |
(fma.f64 x x #s(literal 2 binary64)) |
(+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))))) |
(+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64))))) |
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(fma.f64 x x (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64))) |
(+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)))))))) |
(+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64))))))) |
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(fma.f64 x x (fma.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64))) |
(+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))) |
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))) |
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))) |
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))) |
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
#s(literal -2 binary64) |
#s(literal -1 binary64) |
#s(literal 0 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(literal 3/2 binary64) |
#s(literal 2 binary64) |
#s(literal 3 binary64) |
#s(literal 4 binary64) |
#s(literal -2 binary64) |
#s(literal -1 binary64) |
#s(literal 0 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(literal 3/2 binary64) |
#s(literal 2 binary64) |
#s(literal 3 binary64) |
#s(literal 4 binary64) |
#s(literal -2 binary64) |
#s(literal -1 binary64) |
#s(literal 0 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(literal 3/2 binary64) |
#s(literal 2 binary64) |
#s(literal 3 binary64) |
#s(literal 4 binary64) |
#s(literal -2 binary64) |
#s(literal -1 binary64) |
#s(literal 0 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(literal 3/2 binary64) |
#s(literal 2 binary64) |
#s(literal 3 binary64) |
#s(literal 4 binary64) |
#s(literal -2 binary64) |
#s(literal -1 binary64) |
#s(literal 0 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(literal 3/2 binary64) |
#s(literal 2 binary64) |
#s(literal 3 binary64) |
#s(literal 4 binary64) |
Compiled 1 426 to 302 computations (78.8% saved)
5 alts after pruning (5 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 85 | 5 | 90 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 86 | 5 | 91 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 7.6% | (/.f64 (-.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| ▶ | 98.6% | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64))))) |
| ▶ | 98.4% | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64))))) |
| ▶ | 97.7% | x |
| ▶ | 5.8% | #s(literal 3/2 binary64) |
Compiled 88 to 62 computations (29.5% saved)
| 1× | egg-herbie |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) x) |
| cost-diff | 0 | (exp.f64 x) | |
| ✓ | cost-diff | 128 | (-.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x)) |
| ✓ | cost-diff | 128 | (/.f64 (-.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| ✓ | cost-diff | -6272 | (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))) |
| ✓ | cost-diff | -6144 | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64))))) |
| ✓ | cost-diff | 0 | (pow.f64 x #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64))) |
| ✓ | cost-diff | -6272 | (-.f64 (*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)) |
| ✓ | cost-diff | -6272 | (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64))) |
| ✓ | cost-diff | 0 | (pow.f64 x #s(literal 2 binary64)) |
| 1 460× | fma-define |
| 866× | unsub-neg |
| 340× | fmm-def |
| 309× | distribute-lft-in |
| 250× | distribute-lft-neg-out |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 407 |
| 1 | 68 | 379 |
| 2 | 135 | 367 |
| 3 | 342 | 367 |
| 4 | 952 | 367 |
| 5 | 2678 | 367 |
| 6 | 4514 | 367 |
| 7 | 4950 | 367 |
| 8 | 5195 | 367 |
| 9 | 5298 | 367 |
| 10 | 5360 | 367 |
| 11 | 6717 | 367 |
| 12 | 6845 | 367 |
| 13 | 6857 | 367 |
| 14 | 6863 | 367 |
| 15 | 6867 | 367 |
| 16 | 6867 | 367 |
| 17 | 6877 | 367 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64))))) |
x |
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))) |
#s(literal 1 binary64) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64))) |
(pow.f64 x #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(-.f64 (*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)) |
(*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64))) |
#s(literal 2/15 binary64) |
#s(literal 1/3 binary64) |
#s(literal 3/2 binary64) |
x |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64))))) |
x |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))) |
#s(literal 1 binary64) |
(*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64))) |
#s(literal -1/3 binary64) |
(pow.f64 x #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(/.f64 (-.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(-.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x)) |
(exp.f64 x) |
x |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(exp.f64 (neg.f64 x)) |
(neg.f64 x) |
| Outputs |
|---|
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/3 binary64))))) |
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x) |
(fma.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 5 binary64)) (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x)) |
x |
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))) |
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/3 binary64)))) |
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/3 binary64))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) |
(pow.f64 x #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(-.f64 (*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)) |
(fma.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/3 binary64)) |
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) |
(*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/15 binary64)) |
#s(literal 2/15 binary64) |
#s(literal 1/3 binary64) |
#s(literal 3/2 binary64) |
x |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/3 binary64)))) |
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal 1 binary64))) |
(fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x) |
x |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))) |
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/3 binary64))) |
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/3 binary64)) |
#s(literal -1/3 binary64) |
(pow.f64 x #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(/.f64 (-.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 (+.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 (+.f64 x (expm1.f64 x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(-.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x)) |
(+.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) |
(+.f64 x (expm1.f64 x)) |
(exp.f64 x) |
x |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(exp.f64 (neg.f64 x)) |
(neg.f64 x) |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 100.0% | (exp.f64 x) | |
| accuracy | 100.0% | (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) | |
| ✓ | accuracy | 98.9% | (/.f64 (-.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| ✓ | accuracy | 9.8% | (-.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x)) |
| ✓ | accuracy | 100.0% | (pow.f64 x #s(literal 2 binary64)) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))) |
| ✓ | accuracy | 100.0% | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64))))) |
| ✓ | accuracy | 99.6% | (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64))) |
| ✓ | accuracy | 100.0% | (-.f64 (*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64))))) |
| ✓ | accuracy | 99.7% | (*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64))) |
| ✓ | accuracy | 99.6% | (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64))) |
| 66.0ms | 170× | 1 | valid |
| 48.0ms | 74× | 2 | valid |
| 2.0ms | 12× | 0 | valid |
Compiled 128 to 25 computations (80.5% saved)
ival-mult: 22.0ms (24.9% of total)...in/eval/compile.rkt:111:19: 15.0ms (17% of total)ival-exp: 14.0ms (15.9% of total)adjust: 9.0ms (10.2% of total)ival-sub: 8.0ms (9.1% of total)ival-add: 8.0ms (9.1% of total)ival-pow2: 6.0ms (6.8% of total)ival-div: 5.0ms (5.7% of total)ival-neg: 1.0ms (1.1% of total)...in/eval/compile.rkt:110:19: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (pow.f64 x #s(literal 2 binary64))> |
#<alt (*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64)))> |
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))> |
#<alt (-.f64 (*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64))> |
#<alt (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))> |
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))> |
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64))))> |
#<alt (/.f64 (-.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))> |
#<alt (-.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x))> |
#<alt (-.f64 #s(literal 1 binary64) x)> |
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))))> |
| Outputs |
|---|
#<alt (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))> |
#<alt (*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 4 binary64)))> |
#<alt (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 2/15 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))> |
#<alt (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 2/15 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))> |
#<alt (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 2/15 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))> |
#<alt (*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 4 binary64)))> |
#<alt (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 2/15 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))> |
#<alt (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 2/15 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))> |
#<alt (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 2/15 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))> |
#<alt #s(literal -1/3 binary64)> |
#<alt (*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64)))> |
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 2/15 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))> |
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 2/15 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))> |
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 2/15 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))> |
#<alt (*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64)))> |
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 2/15 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))> |
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 2/15 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))> |
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 2/15 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))> |
#<alt x> |
#<alt (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)))> |
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))> |
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))> |
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))> |
#<alt (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))> |
#<alt #s(literal 1 binary64)> |
#<alt (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))> |
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))> |
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))> |
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))> |
#<alt (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))> |
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))> |
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))> |
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))> |
#<alt x> |
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) x)))> |
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -5/12 binary64) x)))))> |
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -5/48 binary64) x) #s(literal 5/12 binary64)))))))> |
#<alt (/.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))> |
#<alt (*.f64 x (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 (exp.f64 x) (*.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))))> |
#<alt (*.f64 x (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 (exp.f64 x) (*.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))))> |
#<alt (*.f64 x (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 (exp.f64 x) (*.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))))> |
#<alt (/.f64 x (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))))) x)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))))) x)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))))) x)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))))))> |
#<alt (*.f64 #s(literal 2 binary64) x)> |
#<alt (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x)))> |
#<alt (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))))> |
#<alt (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) x)))))))> |
#<alt x> |
#<alt (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) x)) (/.f64 #s(literal 1 binary64) x)))> |
#<alt (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) x)) (/.f64 #s(literal 1 binary64) x)))> |
#<alt (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) x)) (/.f64 #s(literal 1 binary64) x)))> |
#<alt x> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)) #s(literal 1 binary64))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)) #s(literal 1 binary64))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)) #s(literal 1 binary64))))> |
#<alt #s(literal 1 binary64)> |
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))> |
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))> |
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))> |
#<alt (*.f64 #s(literal -1 binary64) x)> |
#<alt (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))> |
#<alt (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))> |
#<alt (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))> |
#<alt (*.f64 #s(literal -1 binary64) x)> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))> |
#<alt x> |
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))> |
#<alt (*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 5 binary64)))> |
#<alt (*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 2/15 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))> |
#<alt (*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))> |
#<alt (*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))> |
#<alt (*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 5 binary64)))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2/15 binary64))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))))> |
33 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | -inf | (- (exp x) (- 1 x)) |
| 2.0ms | x | @ | -inf | (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
| 1.0ms | x | @ | inf | (/ (- (exp x) (- 1 x)) (+ (exp x) (exp (neg x)))) |
| 1.0ms | x | @ | -inf | (/ (- (exp x) (- 1 x)) (+ (exp x) (exp (neg x)))) |
| 1.0ms | x | @ | inf | (* 2/15 (pow x 2)) |
| 1× | batch-egg-rewrite |
| 203× | log1p-expm1-u |
| 203× | expm1-log1p-u |
| 199× | add-exp-log |
| 199× | add-cube-cbrt |
| 198× | add-log-exp |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 203 |
| 1 | 441 | 203 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 x #s(literal 2 binary64)) |
(*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64))) |
(-.f64 (*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)) |
(*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64))))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))) |
(/.f64 (-.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(-.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x)) |
(-.f64 #s(literal 1 binary64) x) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64))))) |
| Outputs |
|---|
#s(literal -2 binary64) |
#s(literal -1 binary64) |
#s(literal 0 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(literal 3/2 binary64) |
#s(literal 2 binary64) |
#s(literal 3 binary64) |
#s(literal 4 binary64) |
#s(literal 8/3375 binary64) |
#s(literal 4/225 binary64) |
#s(literal 2/15 binary64) |
#s(literal -1/5 binary64) |
#s(literal -1/5 binary64) |
#s(literal -1/3 binary64) |
#s(literal -1/27 binary64) |
#s(literal 1/729 binary64) |
#s(literal 1/81 binary64) |
#s(literal 1/9 binary64) |
#s(literal -1/3 binary64) |
#s(literal -1/27 binary64) |
#s(literal 1/729 binary64) |
#s(literal 1/81 binary64) |
#s(literal 1/9 binary64) |
#s(literal -1/3 binary64) |
#s(literal -1/27 binary64) |
#s(literal 1/729 binary64) |
#s(literal 1/81 binary64) |
#s(literal 1/9 binary64) |
#s(literal -2 binary64) |
#s(literal -1 binary64) |
#s(literal 0 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(literal 3/2 binary64) |
#s(literal 2 binary64) |
#s(literal 3 binary64) |
#s(literal 4 binary64) |
#s(literal -2 binary64) |
#s(literal -1 binary64) |
#s(literal 0 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(literal 3/2 binary64) |
#s(literal 2 binary64) |
#s(literal 3 binary64) |
#s(literal 4 binary64) |
#s(literal -2 binary64) |
#s(literal -1 binary64) |
#s(literal 0 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(literal 3/2 binary64) |
#s(literal 2 binary64) |
#s(literal 3 binary64) |
#s(literal 4 binary64) |
#s(literal -1/5 binary64) |
| 1× | egg-herbie |
| 904× | fmm-def |
| 614× | distribute-lft-in |
| 580× | distribute-rgt-in |
| 283× | fma-define |
| 278× | associate-*r* |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 137 | 2957 |
| 1 | 355 | 2823 |
| 2 | 900 | 2459 |
| 3 | 2675 | 2327 |
| 4 | 6293 | 2315 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64))) |
(*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 4 binary64))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 2/15 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 2/15 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 2/15 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) |
(*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 4 binary64))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 2/15 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 2/15 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 2/15 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) |
#s(literal -1/3 binary64) |
(*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 2/15 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 2/15 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 2/15 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) |
(*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 2/15 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 2/15 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 2/15 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) |
x |
(*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64))) |
(*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))) |
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) |
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) |
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) |
#s(literal 1 binary64) |
(*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64))) |
(*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64))) |
x |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) x))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -5/12 binary64) x))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -5/48 binary64) x) #s(literal 5/12 binary64))))))) |
(/.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(*.f64 x (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 (exp.f64 x) (*.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))) |
(*.f64 x (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 (exp.f64 x) (*.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))) |
(*.f64 x (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 (exp.f64 x) (*.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))) |
(/.f64 x (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))) |
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))))) x)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))))))) |
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))))) x)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))))))) |
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))))) x)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))))))) |
(*.f64 #s(literal 2 binary64) x) |
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))) |
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))) |
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) x))))))) |
x |
(*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) x)) (/.f64 #s(literal 1 binary64) x))) |
(*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) x)) (/.f64 #s(literal 1 binary64) x))) |
(*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) x)) (/.f64 #s(literal 1 binary64) x))) |
x |
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)) #s(literal 1 binary64)))) |
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)) #s(literal 1 binary64)))) |
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)) #s(literal 1 binary64)))) |
#s(literal 1 binary64) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)) |
(*.f64 #s(literal -1 binary64) x) |
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
(*.f64 #s(literal -1 binary64) x) |
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))) |
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))) |
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))) |
x |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64))))) |
(*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 5 binary64))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 2/15 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) |
(*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 5 binary64))) |
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2/15 binary64)))) |
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))))) |
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))))) |
#s(literal -2 binary64) |
#s(literal -1 binary64) |
#s(literal 0 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(literal 3/2 binary64) |
#s(literal 2 binary64) |
#s(literal 3 binary64) |
#s(literal 4 binary64) |
#s(literal 8/3375 binary64) |
#s(literal 4/225 binary64) |
#s(literal 2/15 binary64) |
#s(literal -1/5 binary64) |
#s(literal -1/5 binary64) |
#s(literal -1/3 binary64) |
#s(literal -1/27 binary64) |
#s(literal 1/729 binary64) |
#s(literal 1/81 binary64) |
#s(literal 1/9 binary64) |
#s(literal -1/3 binary64) |
#s(literal -1/27 binary64) |
#s(literal 1/729 binary64) |
#s(literal 1/81 binary64) |
#s(literal 1/9 binary64) |
#s(literal -1/3 binary64) |
#s(literal -1/27 binary64) |
#s(literal 1/729 binary64) |
#s(literal 1/81 binary64) |
#s(literal 1/9 binary64) |
#s(literal -2 binary64) |
#s(literal -1 binary64) |
#s(literal 0 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(literal 3/2 binary64) |
#s(literal 2 binary64) |
#s(literal 3 binary64) |
#s(literal 4 binary64) |
#s(literal -2 binary64) |
#s(literal -1 binary64) |
#s(literal 0 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(literal 3/2 binary64) |
#s(literal 2 binary64) |
#s(literal 3 binary64) |
#s(literal 4 binary64) |
#s(literal -2 binary64) |
#s(literal -1 binary64) |
#s(literal 0 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(literal 3/2 binary64) |
#s(literal 2 binary64) |
#s(literal 3 binary64) |
#s(literal 4 binary64) |
#s(literal -1/5 binary64) |
| Outputs |
|---|
(*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64))) |
(*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 4 binary64))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 2/15 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64))))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 2/15 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64))))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 2/15 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64))))) |
(*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 4 binary64))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 2/15 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64))))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 2/15 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64))))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 2/15 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))))) |
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x |
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(+.f64 (/.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (+.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))) |
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))))) x)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))))))) |
(*.f64 x (-.f64 (+.f64 (/.f64 (/.f64 (exp.f64 x) x) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))) |
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 (+.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) x))) |
(fma.f64 x (+.f64 (/.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) x) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) |
(+.f64 (/.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (+.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))) |
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))))) x)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))))))) |
(*.f64 x (-.f64 (+.f64 (/.f64 (/.f64 (exp.f64 x) x) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))) |
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 (+.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) x))) |
(fma.f64 x (+.f64 (/.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) x) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) |
(+.f64 (/.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (+.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))) |
(*.f64 #s(literal 2 binary64) x) |
(*.f64 x #s(literal 2 binary64)) |
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))) |
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64)))) |
(*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64))) |
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))) |
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))) |
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))) |
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) x))))))) |
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))) |
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) |
x |
(*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) x)) (/.f64 #s(literal 1 binary64) x))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 x) x))) |
(-.f64 x (neg.f64 (expm1.f64 x))) |
(fma.f64 (expm1.f64 x) #s(literal 1 binary64) x) |
(*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) x)) (/.f64 #s(literal 1 binary64) x))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 x) x))) |
(-.f64 x (neg.f64 (expm1.f64 x))) |
(fma.f64 (expm1.f64 x) #s(literal 1 binary64) x) |
(*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) x)) (/.f64 #s(literal 1 binary64) x))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 x) x))) |
(-.f64 x (neg.f64 (expm1.f64 x))) |
(fma.f64 (expm1.f64 x) #s(literal 1 binary64) x) |
x |
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)) #s(literal 1 binary64)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 x) x))) |
(-.f64 x (neg.f64 (expm1.f64 x))) |
(fma.f64 (expm1.f64 x) #s(literal 1 binary64) x) |
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)) #s(literal 1 binary64)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 x) x))) |
(-.f64 x (neg.f64 (expm1.f64 x))) |
(fma.f64 (expm1.f64 x) #s(literal 1 binary64) x) |
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)) #s(literal 1 binary64)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 x) x))) |
(-.f64 x (neg.f64 (expm1.f64 x))) |
(fma.f64 (expm1.f64 x) #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)) |
(+.f64 #s(literal 1 binary64) (neg.f64 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)) |
(+.f64 #s(literal 1 binary64) (neg.f64 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)) |
(+.f64 #s(literal 1 binary64) (neg.f64 x)) |
(-.f64 #s(literal 1 binary64) x) |
(*.f64 #s(literal -1 binary64) x) |
(neg.f64 x) |
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
(+.f64 #s(literal 1 binary64) (neg.f64 x)) |
(-.f64 #s(literal 1 binary64) x) |
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
(+.f64 #s(literal 1 binary64) (neg.f64 x)) |
(-.f64 #s(literal 1 binary64) x) |
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
(+.f64 #s(literal 1 binary64) (neg.f64 x)) |
(-.f64 #s(literal 1 binary64) x) |
(*.f64 #s(literal -1 binary64) x) |
(neg.f64 x) |
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))) |
(+.f64 #s(literal 1 binary64) (neg.f64 x)) |
(-.f64 #s(literal 1 binary64) x) |
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))) |
(+.f64 #s(literal 1 binary64) (neg.f64 x)) |
(-.f64 #s(literal 1 binary64) x) |
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))) |
(+.f64 #s(literal 1 binary64) (neg.f64 x)) |
(-.f64 #s(literal 1 binary64) x) |
x |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64))))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal -1/3 binary64))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) |
(fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x) |
(*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 5 binary64))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 2/15 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) |
(*.f64 (-.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 5 binary64))) |
(*.f64 (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 5 binary64))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 2/15 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 2/15 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 2/15 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 2/15 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64))))) |
(*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 5 binary64))) |
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2/15 binary64)))) |
(*.f64 (-.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 5 binary64))) |
(*.f64 (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 5 binary64))) |
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 2/15 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 2/15 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64))))) |
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 2/15 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 2/15 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64))))) |
#s(literal -2 binary64) |
#s(literal -1 binary64) |
#s(literal 0 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(literal 3/2 binary64) |
#s(literal 2 binary64) |
#s(literal 3 binary64) |
#s(literal 4 binary64) |
#s(literal 8/3375 binary64) |
#s(literal 4/225 binary64) |
#s(literal 2/15 binary64) |
#s(literal -1/5 binary64) |
#s(literal -1/5 binary64) |
#s(literal -1/3 binary64) |
#s(literal -1/27 binary64) |
#s(literal 1/729 binary64) |
#s(literal 1/81 binary64) |
#s(literal 1/9 binary64) |
#s(literal -1/3 binary64) |
#s(literal -1/27 binary64) |
#s(literal 1/729 binary64) |
#s(literal 1/81 binary64) |
#s(literal 1/9 binary64) |
#s(literal -1/3 binary64) |
#s(literal -1/27 binary64) |
#s(literal 1/729 binary64) |
#s(literal 1/81 binary64) |
#s(literal 1/9 binary64) |
#s(literal -2 binary64) |
#s(literal -1 binary64) |
#s(literal 0 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(literal 3/2 binary64) |
#s(literal 2 binary64) |
#s(literal 3 binary64) |
#s(literal 4 binary64) |
#s(literal -2 binary64) |
#s(literal -1 binary64) |
#s(literal 0 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(literal 3/2 binary64) |
#s(literal 2 binary64) |
#s(literal 3 binary64) |
#s(literal 4 binary64) |
#s(literal -2 binary64) |
#s(literal -1 binary64) |
#s(literal 0 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(literal 3/2 binary64) |
#s(literal 2 binary64) |
#s(literal 3 binary64) |
#s(literal 4 binary64) |
#s(literal -1/5 binary64) |
Compiled 1 980 to 506 computations (74.4% saved)
5 alts after pruning (1 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 137 | 1 | 138 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 0 | 0 |
| Total | 138 | 5 | 143 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 5.9% | (/.f64 (-.f64 (exp.f64 x) (neg.f64 x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| ✓ | 98.6% | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64))))) |
| ✓ | 98.4% | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64))))) |
| ✓ | 97.7% | x |
| ✓ | 5.8% | #s(literal 3/2 binary64) |
Compiled 43 to 29 computations (32.6% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (neg.f64 x) |
| cost-diff | 0 | (exp.f64 x) | |
| ✓ | cost-diff | 64 | (-.f64 (exp.f64 x) (neg.f64 x)) |
| ✓ | cost-diff | 64 | (/.f64 (-.f64 (exp.f64 x) (neg.f64 x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| 286× | fma-define |
| 220× | fmm-def |
| 120× | times-frac |
| 90× | div-sub |
| 58× | distribute-lft-in |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 129 |
| 1 | 24 | 121 |
| 2 | 49 | 121 |
| 3 | 98 | 121 |
| 4 | 186 | 121 |
| 5 | 394 | 121 |
| 6 | 764 | 121 |
| 7 | 1246 | 121 |
| 8 | 1498 | 121 |
| 9 | 1644 | 121 |
| 10 | 1671 | 121 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (-.f64 (exp.f64 x) (neg.f64 x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(-.f64 (exp.f64 x) (neg.f64 x)) |
(exp.f64 x) |
x |
(neg.f64 x) |
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(exp.f64 (neg.f64 x)) |
| Outputs |
|---|
(/.f64 (-.f64 (exp.f64 x) (neg.f64 x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 (+.f64 x (exp.f64 x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(-.f64 (exp.f64 x) (neg.f64 x)) |
(+.f64 x (exp.f64 x)) |
(exp.f64 x) |
x |
(neg.f64 x) |
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(exp.f64 (neg.f64 x)) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 100.0% | (exp.f64 x) | |
| accuracy | 100.0% | (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) | |
| ✓ | accuracy | 100.0% | (-.f64 (exp.f64 x) (neg.f64 x)) |
| ✓ | accuracy | 98.9% | (/.f64 (-.f64 (exp.f64 x) (neg.f64 x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| 16.0ms | 256× | 0 | valid |
Compiled 33 to 9 computations (72.7% saved)
ival-exp: 4.0ms (38.6% of total)ival-div: 3.0ms (29% of total)ival-sub: 1.0ms (9.7% of total)ival-add: 1.0ms (9.7% of total)ival-neg: 1.0ms (9.7% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/.f64 (-.f64 (exp.f64 x) (neg.f64 x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))> |
#<alt (-.f64 (exp.f64 x) (neg.f64 x))> |
#<alt (neg.f64 x)> |
| Outputs |
|---|
#<alt #s(literal 1/2 binary64)> |
#<alt (+.f64 #s(literal 1/2 binary64) x)> |
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5/12 binary64) (pow.f64 x #s(literal 2 binary64))))))> |
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 41/240 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 5/12 binary64))))))> |
#<alt (/.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))> |
#<alt (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 (exp.f64 x) (*.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))))> |
#<alt (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 (exp.f64 x) (*.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))))> |
#<alt (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 (exp.f64 x) (*.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))))> |
#<alt (/.f64 x (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (exp.f64 x) (*.f64 x (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (exp.f64 x) (*.f64 x (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (exp.f64 x) (*.f64 x (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))))))> |
#<alt #s(literal 1 binary64)> |
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x))> |
#<alt (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))> |
#<alt (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))))> |
#<alt x> |
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) x)))> |
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) x)))> |
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) x)))> |
#<alt x> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (exp.f64 x) x)) #s(literal 1 binary64))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (exp.f64 x) x)) #s(literal 1 binary64))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (exp.f64 x) x)) #s(literal 1 binary64))))> |
#<alt (*.f64 #s(literal -1 binary64) x)> |
#<alt (*.f64 #s(literal -1 binary64) x)> |
#<alt (*.f64 #s(literal -1 binary64) x)> |
#<alt (*.f64 #s(literal -1 binary64) x)> |
#<alt (*.f64 #s(literal -1 binary64) x)> |
#<alt (*.f64 #s(literal -1 binary64) x)> |
#<alt (*.f64 #s(literal -1 binary64) x)> |
#<alt (*.f64 #s(literal -1 binary64) x)> |
#<alt (*.f64 #s(literal -1 binary64) x)> |
#<alt (*.f64 #s(literal -1 binary64) x)> |
#<alt (*.f64 #s(literal -1 binary64) x)> |
#<alt (*.f64 #s(literal -1 binary64) x)> |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (/ (- (exp x) (neg x)) (+ (exp x) (exp (neg x)))) |
| 1.0ms | x | @ | inf | (/ (- (exp x) (neg x)) (+ (exp x) (exp (neg x)))) |
| 0.0ms | x | @ | 0 | (/ (- (exp x) (neg x)) (+ (exp x) (exp (neg x)))) |
| 0.0ms | x | @ | -inf | (- (exp x) (neg x)) |
| 0.0ms | x | @ | 0 | (- (exp x) (neg x)) |
| 1× | batch-egg-rewrite |
| 82× | add-exp-log |
| 82× | add-log-exp |
| 82× | log1p-expm1-u |
| 82× | expm1-log1p-u |
| 81× | add-cube-cbrt |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 120 |
| 1 | 176 | 120 |
| 2 | 3611 | 120 |
| 1× | unsound |
| Inputs |
|---|
(/.f64 (-.f64 (exp.f64 x) (neg.f64 x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(-.f64 (exp.f64 x) (neg.f64 x)) |
(neg.f64 x) |
| Outputs |
|---|
#s(literal -4 binary64) |
#s(literal -2 binary64) |
#s(literal -1 binary64) |
#s(literal -1/2 binary64) |
#s(literal 0 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(literal 3/2 binary64) |
#s(literal 2 binary64) |
#s(literal 3 binary64) |
#s(literal 4 binary64) |
#s(literal -4 binary64) |
#s(literal -2 binary64) |
#s(literal -1 binary64) |
#s(literal -1/2 binary64) |
#s(literal 0 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(literal 3/2 binary64) |
#s(literal 2 binary64) |
#s(literal 3 binary64) |
#s(literal 4 binary64) |
#s(literal -4 binary64) |
#s(literal -2 binary64) |
#s(literal -1 binary64) |
#s(literal -1/2 binary64) |
#s(literal 0 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(literal 3/2 binary64) |
#s(literal 2 binary64) |
#s(literal 3 binary64) |
#s(literal 4 binary64) |
| 1× | egg-herbie |
| 953× | unsub-neg |
| 821× | fmm-def |
| 463× | fma-define |
| 305× | distribute-lft-neg-out |
| 274× | neg-mul-1 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 73 | 1145 |
| 1 | 191 | 1105 |
| 2 | 418 | 1089 |
| 3 | 1108 | 801 |
| 4 | 2980 | 777 |
| 5 | 5609 | 777 |
| 1× | node limit |
| Inputs |
|---|
#s(literal 1/2 binary64) |
(+.f64 #s(literal 1/2 binary64) x) |
(+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5/12 binary64) (pow.f64 x #s(literal 2 binary64)))))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 41/240 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 5/12 binary64)))))) |
(/.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 (exp.f64 x) (*.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))) |
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 (exp.f64 x) (*.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))) |
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 (exp.f64 x) (*.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))) |
(/.f64 x (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))) |
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (exp.f64 x) (*.f64 x (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))))))) |
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (exp.f64 x) (*.f64 x (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))))))) |
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (exp.f64 x) (*.f64 x (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))))))) |
#s(literal 1 binary64) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x)) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))))) |
x |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) x))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) x))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) x))) |
x |
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (exp.f64 x) x)) #s(literal 1 binary64)))) |
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (exp.f64 x) x)) #s(literal 1 binary64)))) |
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (exp.f64 x) x)) #s(literal 1 binary64)))) |
(*.f64 #s(literal -1 binary64) x) |
(*.f64 #s(literal -1 binary64) x) |
(*.f64 #s(literal -1 binary64) x) |
(*.f64 #s(literal -1 binary64) x) |
(*.f64 #s(literal -1 binary64) x) |
(*.f64 #s(literal -1 binary64) x) |
(*.f64 #s(literal -1 binary64) x) |
(*.f64 #s(literal -1 binary64) x) |
(*.f64 #s(literal -1 binary64) x) |
(*.f64 #s(literal -1 binary64) x) |
(*.f64 #s(literal -1 binary64) x) |
(*.f64 #s(literal -1 binary64) x) |
#s(literal -4 binary64) |
#s(literal -2 binary64) |
#s(literal -1 binary64) |
#s(literal -1/2 binary64) |
#s(literal 0 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(literal 3/2 binary64) |
#s(literal 2 binary64) |
#s(literal 3 binary64) |
#s(literal 4 binary64) |
#s(literal -4 binary64) |
#s(literal -2 binary64) |
#s(literal -1 binary64) |
#s(literal -1/2 binary64) |
#s(literal 0 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(literal 3/2 binary64) |
#s(literal 2 binary64) |
#s(literal 3 binary64) |
#s(literal 4 binary64) |
#s(literal -4 binary64) |
#s(literal -2 binary64) |
#s(literal -1 binary64) |
#s(literal -1/2 binary64) |
#s(literal 0 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(literal 3/2 binary64) |
#s(literal 2 binary64) |
#s(literal 3 binary64) |
#s(literal 4 binary64) |
| Outputs |
|---|
#s(literal 1/2 binary64) |
(+.f64 #s(literal 1/2 binary64) x) |
(+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5/12 binary64) (pow.f64 x #s(literal 2 binary64)))))) |
(fma.f64 x (fma.f64 #s(literal -5/12 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
(+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -5/12 binary64) (pow.f64 x #s(literal 3 binary64)) x)) |
(fma.f64 #s(literal -5/12 binary64) (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/2 binary64) x)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 41/240 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 5/12 binary64)))))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 41/240 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -5/12 binary64)))))) |
(fma.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 41/240 binary64) #s(literal -5/12 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
(+.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 41/240 binary64) #s(literal -5/12 binary64)) (pow.f64 x #s(literal 3 binary64)) x)) |
(+.f64 x (fma.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 41/240 binary64) #s(literal -5/12 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64))) |
(/.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 (exp.f64 x) (*.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))) |
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 (/.f64 (exp.f64 x) x) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))) |
(fma.f64 x (/.f64 (exp.f64 x) (*.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (/.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (-.f64 (neg.f64 x) (exp.f64 x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (+.f64 x (exp.f64 x))) |
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 (exp.f64 x) (*.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))) |
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 (/.f64 (exp.f64 x) x) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))) |
(fma.f64 x (/.f64 (exp.f64 x) (*.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (/.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (-.f64 (neg.f64 x) (exp.f64 x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (+.f64 x (exp.f64 x))) |
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 (exp.f64 x) (*.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))) |
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 (/.f64 (exp.f64 x) x) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))) |
(fma.f64 x (/.f64 (exp.f64 x) (*.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (/.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (-.f64 (neg.f64 x) (exp.f64 x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (+.f64 x (exp.f64 x))) |
(/.f64 x (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))) |
(/.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (exp.f64 x) (*.f64 x (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))))))) |
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 (/.f64 (exp.f64 x) x) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))) |
(fma.f64 x (/.f64 (exp.f64 x) (*.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (/.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (-.f64 (neg.f64 x) (exp.f64 x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (+.f64 x (exp.f64 x))) |
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (exp.f64 x) (*.f64 x (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))))))) |
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 (/.f64 (exp.f64 x) x) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))) |
(fma.f64 x (/.f64 (exp.f64 x) (*.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (/.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (-.f64 (neg.f64 x) (exp.f64 x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (+.f64 x (exp.f64 x))) |
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (exp.f64 x) (*.f64 x (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))))))) |
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 (/.f64 (exp.f64 x) x) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))) |
(fma.f64 x (/.f64 (exp.f64 x) (*.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (/.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (-.f64 (neg.f64 x) (exp.f64 x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (+.f64 x (exp.f64 x))) |
#s(literal 1 binary64) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x)) |
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64))) |
(fma.f64 x #s(literal 2 binary64) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) |
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) |
x |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) x))) |
(fma.f64 x (/.f64 (exp.f64 x) x) x) |
(+.f64 x (exp.f64 x)) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) x))) |
(fma.f64 x (/.f64 (exp.f64 x) x) x) |
(+.f64 x (exp.f64 x)) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) x))) |
(fma.f64 x (/.f64 (exp.f64 x) x) x) |
(+.f64 x (exp.f64 x)) |
x |
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (exp.f64 x) x)) #s(literal 1 binary64)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) x))) |
(fma.f64 x (/.f64 (exp.f64 x) x) x) |
(+.f64 x (exp.f64 x)) |
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (exp.f64 x) x)) #s(literal 1 binary64)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) x))) |
(fma.f64 x (/.f64 (exp.f64 x) x) x) |
(+.f64 x (exp.f64 x)) |
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (exp.f64 x) x)) #s(literal 1 binary64)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) x))) |
(fma.f64 x (/.f64 (exp.f64 x) x) x) |
(+.f64 x (exp.f64 x)) |
(*.f64 #s(literal -1 binary64) x) |
(neg.f64 x) |
(*.f64 #s(literal -1 binary64) x) |
(neg.f64 x) |
(*.f64 #s(literal -1 binary64) x) |
(neg.f64 x) |
(*.f64 #s(literal -1 binary64) x) |
(neg.f64 x) |
(*.f64 #s(literal -1 binary64) x) |
(neg.f64 x) |
(*.f64 #s(literal -1 binary64) x) |
(neg.f64 x) |
(*.f64 #s(literal -1 binary64) x) |
(neg.f64 x) |
(*.f64 #s(literal -1 binary64) x) |
(neg.f64 x) |
(*.f64 #s(literal -1 binary64) x) |
(neg.f64 x) |
(*.f64 #s(literal -1 binary64) x) |
(neg.f64 x) |
(*.f64 #s(literal -1 binary64) x) |
(neg.f64 x) |
(*.f64 #s(literal -1 binary64) x) |
(neg.f64 x) |
#s(literal -4 binary64) |
#s(literal -2 binary64) |
#s(literal -1 binary64) |
#s(literal -1/2 binary64) |
#s(literal 0 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(literal 3/2 binary64) |
#s(literal 2 binary64) |
#s(literal 3 binary64) |
#s(literal 4 binary64) |
#s(literal -4 binary64) |
#s(literal -2 binary64) |
#s(literal -1 binary64) |
#s(literal -1/2 binary64) |
#s(literal 0 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(literal 3/2 binary64) |
#s(literal 2 binary64) |
#s(literal 3 binary64) |
#s(literal 4 binary64) |
#s(literal -4 binary64) |
#s(literal -2 binary64) |
#s(literal -1 binary64) |
#s(literal -1/2 binary64) |
#s(literal 0 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(literal 3/2 binary64) |
#s(literal 2 binary64) |
#s(literal 3 binary64) |
#s(literal 4 binary64) |
Compiled 1 038 to 227 computations (78.1% saved)
5 alts after pruning (1 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 76 | 1 | 77 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 4 | 4 |
| Total | 77 | 5 | 82 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 5.9% | (/.f64 (+.f64 x (exp.f64 x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| ✓ | 98.6% | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64))))) |
| ✓ | 98.4% | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64))))) |
| ✓ | 97.7% | x |
| ✓ | 5.8% | #s(literal 3/2 binary64) |
Compiled 42 to 29 computations (31% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) | |
| cost-diff | 0 | (exp.f64 x) | |
| ✓ | cost-diff | 0 | (+.f64 x (exp.f64 x)) |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 x (exp.f64 x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| 475× | fma-define |
| 408× | fmm-def |
| 136× | div-sub |
| 126× | times-frac |
| 74× | distribute-lft-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 121 |
| 1 | 20 | 121 |
| 2 | 29 | 121 |
| 3 | 33 | 121 |
| 4 | 41 | 121 |
| 5 | 48 | 121 |
| 6 | 61 | 121 |
| 7 | 92 | 121 |
| 8 | 141 | 121 |
| 9 | 222 | 121 |
| 10 | 458 | 121 |
| 11 | 1102 | 121 |
| 12 | 1204 | 121 |
| 13 | 1305 | 121 |
| 14 | 1429 | 121 |
| 15 | 1584 | 121 |
| 16 | 1967 | 121 |
| 17 | 2073 | 121 |
| 18 | 2146 | 121 |
| 19 | 2153 | 121 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (+.f64 x (exp.f64 x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(+.f64 x (exp.f64 x)) |
x |
(exp.f64 x) |
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(exp.f64 (neg.f64 x)) |
(neg.f64 x) |
| Outputs |
|---|
(/.f64 (+.f64 x (exp.f64 x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(+.f64 x (exp.f64 x)) |
x |
(exp.f64 x) |
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(exp.f64 (neg.f64 x)) |
(neg.f64 x) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 100.0% | (exp.f64 x) | |
| accuracy | 100.0% | (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) | |
| ✓ | accuracy | 100.0% | (+.f64 x (exp.f64 x)) |
| ✓ | accuracy | 98.9% | (/.f64 (+.f64 x (exp.f64 x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| 16.0ms | 256× | 0 | valid |
Compiled 31 to 9 computations (71% saved)
ival-exp: 4.0ms (40.3% of total)ival-add: 3.0ms (30.2% of total)ival-div: 2.0ms (20.2% of total)ival-neg: 1.0ms (10.1% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/.f64 (+.f64 x (exp.f64 x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))> |
#<alt (+.f64 x (exp.f64 x))> |
| Outputs |
|---|
#<alt #s(literal 1/2 binary64)> |
#<alt (+.f64 #s(literal 1/2 binary64) x)> |
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5/12 binary64) (pow.f64 x #s(literal 2 binary64))))))> |
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 41/240 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 5/12 binary64))))))> |
#<alt (/.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))> |
#<alt (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 (exp.f64 x) (*.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))))> |
#<alt (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 (exp.f64 x) (*.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))))> |
#<alt (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 (exp.f64 x) (*.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))))> |
#<alt (/.f64 x (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (exp.f64 x) (*.f64 x (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (exp.f64 x) (*.f64 x (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (exp.f64 x) (*.f64 x (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))))))> |
#<alt #s(literal 1 binary64)> |
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x))> |
#<alt (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))> |
#<alt (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))))> |
#<alt x> |
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) x)))> |
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) x)))> |
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) x)))> |
#<alt x> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (exp.f64 x) x)) #s(literal 1 binary64))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (exp.f64 x) x)) #s(literal 1 binary64))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (exp.f64 x) x)) #s(literal 1 binary64))))> |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | -inf | (/ (+ x (exp x)) (+ (exp x) (exp (neg x)))) |
| 0.0ms | x | @ | inf | (/ (+ x (exp x)) (+ (exp x) (exp (neg x)))) |
| 0.0ms | x | @ | 0 | (/ (+ x (exp x)) (+ (exp x) (exp (neg x)))) |
| 0.0ms | x | @ | -inf | (+ x (exp x)) |
| 0.0ms | x | @ | inf | (+ x (exp x)) |
| 1× | batch-egg-rewrite |
| 79× | add-exp-log |
| 79× | add-log-exp |
| 79× | log1p-expm1-u |
| 79× | expm1-log1p-u |
| 78× | add-cube-cbrt |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 53 |
| 1 | 172 | 53 |
| 2 | 3359 | 53 |
| 1× | unsound |
| Inputs |
|---|
(/.f64 (+.f64 x (exp.f64 x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(+.f64 x (exp.f64 x)) |
| Outputs |
|---|
#s(literal -2 binary64) |
#s(literal 0 binary64) |
#s(literal 1/2 binary64) |
#s(literal 2 binary64) |
#s(literal 4 binary64) |
#s(literal -1 binary64) |
#s(literal 1 binary64) |
| 1× | egg-herbie |
| 953× | unsub-neg |
| 822× | fmm-def |
| 463× | fma-define |
| 299× | distribute-lft-neg-out |
| 274× | neg-mul-1 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 69 | 1023 |
| 1 | 187 | 983 |
| 2 | 414 | 967 |
| 3 | 1107 | 679 |
| 4 | 2994 | 655 |
| 5 | 5603 | 655 |
| 1× | node limit |
| Inputs |
|---|
#s(literal 1/2 binary64) |
(+.f64 #s(literal 1/2 binary64) x) |
(+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5/12 binary64) (pow.f64 x #s(literal 2 binary64)))))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 41/240 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 5/12 binary64)))))) |
(/.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 (exp.f64 x) (*.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))) |
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 (exp.f64 x) (*.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))) |
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 (exp.f64 x) (*.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))) |
(/.f64 x (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))) |
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (exp.f64 x) (*.f64 x (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))))))) |
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (exp.f64 x) (*.f64 x (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))))))) |
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (exp.f64 x) (*.f64 x (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))))))) |
#s(literal 1 binary64) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x)) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))))) |
x |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) x))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) x))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) x))) |
x |
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (exp.f64 x) x)) #s(literal 1 binary64)))) |
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (exp.f64 x) x)) #s(literal 1 binary64)))) |
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (exp.f64 x) x)) #s(literal 1 binary64)))) |
#s(literal -2 binary64) |
#s(literal 0 binary64) |
#s(literal 1/2 binary64) |
#s(literal 2 binary64) |
#s(literal 4 binary64) |
#s(literal -1 binary64) |
#s(literal 1 binary64) |
| Outputs |
|---|
#s(literal 1/2 binary64) |
(+.f64 #s(literal 1/2 binary64) x) |
(+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5/12 binary64) (pow.f64 x #s(literal 2 binary64)))))) |
(fma.f64 x (fma.f64 #s(literal -5/12 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
(+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -5/12 binary64) (pow.f64 x #s(literal 3 binary64)) x)) |
(+.f64 x (fma.f64 #s(literal -5/12 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 41/240 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 5/12 binary64)))))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 41/240 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -5/12 binary64)))))) |
(fma.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 41/240 binary64) #s(literal -5/12 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
(+.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 41/240 binary64) #s(literal -5/12 binary64)) (pow.f64 x #s(literal 3 binary64)) x)) |
(fma.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 41/240 binary64) #s(literal -5/12 binary64)) (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/2 binary64) x)) |
(/.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 (exp.f64 x) (*.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))) |
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 (/.f64 (exp.f64 x) x) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))) |
(fma.f64 x (/.f64 (exp.f64 x) (*.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (/.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (-.f64 (neg.f64 x) (exp.f64 x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (+.f64 x (exp.f64 x))) |
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 (exp.f64 x) (*.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))) |
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 (/.f64 (exp.f64 x) x) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))) |
(fma.f64 x (/.f64 (exp.f64 x) (*.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (/.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (-.f64 (neg.f64 x) (exp.f64 x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (+.f64 x (exp.f64 x))) |
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 (exp.f64 x) (*.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))) |
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 (/.f64 (exp.f64 x) x) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))) |
(fma.f64 x (/.f64 (exp.f64 x) (*.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (/.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (-.f64 (neg.f64 x) (exp.f64 x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (+.f64 x (exp.f64 x))) |
(/.f64 x (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))) |
(/.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (exp.f64 x) (*.f64 x (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))))))) |
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 (exp.f64 x) (*.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))) |
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 (/.f64 (exp.f64 x) x) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))) |
(fma.f64 x (/.f64 (exp.f64 x) (*.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (/.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (-.f64 (neg.f64 x) (exp.f64 x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (+.f64 x (exp.f64 x))) |
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (exp.f64 x) (*.f64 x (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))))))) |
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 (exp.f64 x) (*.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))) |
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 (/.f64 (exp.f64 x) x) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))) |
(fma.f64 x (/.f64 (exp.f64 x) (*.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (/.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (-.f64 (neg.f64 x) (exp.f64 x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (+.f64 x (exp.f64 x))) |
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (exp.f64 x) (*.f64 x (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))))))) |
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 (exp.f64 x) (*.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))) |
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 (/.f64 (exp.f64 x) x) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))) |
(fma.f64 x (/.f64 (exp.f64 x) (*.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (/.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (-.f64 (neg.f64 x) (exp.f64 x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (+.f64 x (exp.f64 x))) |
#s(literal 1 binary64) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x)) |
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64))) |
(fma.f64 x #s(literal 2 binary64) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) |
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) |
x |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) x))) |
(fma.f64 x (/.f64 (exp.f64 x) x) x) |
(+.f64 x (exp.f64 x)) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) x))) |
(fma.f64 x (/.f64 (exp.f64 x) x) x) |
(+.f64 x (exp.f64 x)) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) x))) |
(fma.f64 x (/.f64 (exp.f64 x) x) x) |
(+.f64 x (exp.f64 x)) |
x |
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (exp.f64 x) x)) #s(literal 1 binary64)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) x))) |
(fma.f64 x (/.f64 (exp.f64 x) x) x) |
(+.f64 x (exp.f64 x)) |
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (exp.f64 x) x)) #s(literal 1 binary64)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) x))) |
(fma.f64 x (/.f64 (exp.f64 x) x) x) |
(+.f64 x (exp.f64 x)) |
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (exp.f64 x) x)) #s(literal 1 binary64)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) x))) |
(fma.f64 x (/.f64 (exp.f64 x) x) x) |
(+.f64 x (exp.f64 x)) |
#s(literal -2 binary64) |
#s(literal 0 binary64) |
#s(literal 1/2 binary64) |
#s(literal 2 binary64) |
#s(literal 4 binary64) |
#s(literal -1 binary64) |
#s(literal 1 binary64) |
Compiled 960 to 219 computations (77.2% saved)
5 alts after pruning (0 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 69 | 0 | 69 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 4 | 4 |
| Total | 69 | 5 | 74 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 5.9% | (/.f64 (+.f64 x (exp.f64 x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| ✓ | 98.6% | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64))))) |
| ✓ | 98.4% | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64))))) |
| ✓ | 97.7% | x |
| ✓ | 5.8% | #s(literal 3/2 binary64) |
Compiled 118 to 58 computations (50.8% saved)
| Inputs |
|---|
#s(literal 3/2 binary64) |
x |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64))))) |
(/.f64 (+.f64 x (exp.f64 x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 (-.f64 (exp.f64 x) (neg.f64 x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 (-.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| Outputs |
|---|
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64))))) |
2 calls:
| 3.0ms | x |
| 2.0ms | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.6% | 1 | x |
| 98.6% | 1 | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
Compiled 16 to 8 computations (50% saved)
| Inputs |
|---|
#s(literal 3/2 binary64) |
x |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64))))) |
| Outputs |
|---|
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64))))) |
1 calls:
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.4% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
#s(literal 3/2 binary64) |
x |
| Outputs |
|---|
x |
1 calls:
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.7% | 1 | x |
Compiled 2 to 1 computations (50% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(literal 3/2 binary64) |
| Outputs |
|---|
#s(literal 3/2 binary64) |
1 calls:
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 5.8% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| 1× | egg-herbie |
| 6× | *-commutative |
| 4× | +-commutative |
| 3× | 1-exp |
| 2× | sub-neg |
| 1× | neg-sub0 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 88 |
| 1 | 35 | 88 |
| 2 | 39 | 88 |
| 3 | 41 | 88 |
| 4 | 42 | 88 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64))))) |
x |
#s(literal 3/2 binary64) |
| Outputs |
|---|
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/15 binary64)) #s(literal 1/3 binary64))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/3 binary64)))) |
x |
#s(literal 3/2 binary64) |
| 80× | add-exp-log |
| 80× | add-log-exp |
| 80× | add-cube-cbrt |
| 78× | log1p-expm1-u |
| 78× | expm1-log1p-u |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 40 |
| 1 | 174 | 40 |
| 2 | 3404 | 40 |
| 1× | done |
| 1× | unsound |
Compiled 27 to 16 computations (40.7% saved)
(negabs x)
Compiled 210 to 134 computations (36.2% saved)
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