sqrt D (should all be same)
Time bar (total: 1.7s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 100% | 100% | 0% | 0% | 0% | 0% | 0% | 1 |
Compiled 8 to 7 computations (12.5% saved)
| 367.0ms | 8 256× | 0 | valid |
ival-pow2: 112.0ms (49.3% of total)ival-sqrt: 53.0ms (23.3% of total)ival-mult: 50.0ms (22% of total)ival-true: 5.0ms (2.2% of total)exact: 4.0ms (1.8% of total)ival-assert: 3.0ms (1.3% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 127 | 0 | - | 4 | (-1.3324008694859032e-159) | (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) |
| 0 | 0 | - | 0 | - | (pow.f64 x #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
sqrt.f64 | (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) | oflow-rescue | 66 | 0 |
| ↳ | (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) | overflow | 67 | |
| ↳ | (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) | overflow | 1 | |
| ↳ | (pow.f64 x #s(literal 2 binary64)) | overflow | 67 | |
sqrt.f64 | (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) | uflow-rescue | 57 | 0 |
| ↳ | (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) | underflow | 57 | |
| ↳ | (pow.f64 x #s(literal 2 binary64)) | underflow | 57 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 123 | 4 |
| - | 0 | 129 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 123 | 0 | 4 |
| - | 0 | 0 | 129 |
| number | freq |
|---|---|
| 0 | 133 |
| 1 | 123 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 25.0ms | 512× | 0 | valid |
Compiled 42 to 19 computations (54.8% saved)
ival-pow2: 8.0ms (54% of total)ival-mult: 3.0ms (20.3% of total)ival-sqrt: 3.0ms (20.3% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 15 |
| 1 | 12 | 13 |
| 2 | 32 | 13 |
| 3 | 99 | 13 |
| 4 | 153 | 13 |
| 5 | 247 | 13 |
| 6 | 273 | 13 |
| 7 | 293 | 13 |
| 0 | 5 | 6 |
| 0 | 8 | 6 |
| 1 | 13 | 6 |
| 2 | 27 | 6 |
| 3 | 64 | 6 |
| 4 | 132 | 6 |
| 5 | 204 | 6 |
| 6 | 240 | 6 |
| 7 | 263 | 6 |
| 8 | 278 | 6 |
| 0 | 278 | 3 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) |
| Outputs |
|---|
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) |
(hypot.f64 x x) |
Compiled 6 to 5 computations (16.7% saved)
Compiled 0 to 1 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 54.2% | (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) |
Compiled 6 to 5 computations (16.7% saved)
| 1× | egg-herbie |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (pow.f64 x #s(literal 2 binary64)) | |
| cost-diff | 0 | (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) | |
| cost-diff | 3 | (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 16 |
| 0 | 8 | 16 |
| 1 | 13 | 16 |
| 2 | 27 | 16 |
| 3 | 64 | 16 |
| 4 | 132 | 16 |
| 5 | 204 | 16 |
| 6 | 240 | 16 |
| 7 | 263 | 16 |
| 8 | 278 | 16 |
| 0 | 278 | 13 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) |
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) |
#s(literal 2 binary64) |
(pow.f64 x #s(literal 2 binary64)) |
x |
| Outputs |
|---|
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) |
(hypot.f64 x x) |
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) |
(*.f64 (*.f64 x x) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(pow.f64 x #s(literal 2 binary64)) |
(*.f64 x x) |
x |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.00390625 | (pow.f64 x #s(literal 2 binary64)) | |
| accuracy | 0.00390625 | (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) | |
| accuracy | 29.282784023023456 | (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) |
| 11.0ms | 256× | 0 | valid |
Compiled 18 to 7 computations (61.1% saved)
ival-pow2: 3.0ms (48% of total)ival-sqrt: 2.0ms (32% of total)ival-mult: 1.0ms (16% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) |
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) |
(pow.f64 x #s(literal 2 binary64)) |
| Outputs |
|---|
(* x (sqrt 2)) |
(* 2 (pow x 2)) |
(pow x 2) |
(* -1 (* x (sqrt 2))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | ((sqrt (* 2 (pow x 2))) (* 2 (pow x 2)) (pow x 2)) |
| 1.0ms | x | @ | 0 | ((sqrt (* 2 (pow x 2))) (* 2 (pow x 2)) (pow x 2)) |
| 1.0ms | x | @ | -inf | ((sqrt (* 2 (pow x 2))) (* 2 (pow x 2)) (pow x 2)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 17 |
| 1 | 18 | 17 |
| 2 | 43 | 17 |
| 3 | 92 | 17 |
| 4 | 228 | 17 |
| 5 | 437 | 17 |
| 6 | 485 | 17 |
| 0 | 485 | 17 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(* x (sqrt 2)) |
(* 2 (pow x 2)) |
(pow x 2) |
(* -1 (* x (sqrt 2))) |
| Outputs |
|---|
(* x (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(* 2 (pow x 2)) |
(*.f64 (*.f64 #s(literal 2 binary64) x) x) |
(pow x 2) |
(*.f64 x x) |
(* -1 (* x (sqrt 2))) |
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 14 |
| 0 | 8 | 14 |
| 1 | 24 | 12 |
| 2 | 80 | 10 |
| 0 | 488 | 9 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| 1× | iter limit |
| Inputs |
|---|
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) |
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) |
(pow.f64 x #s(literal 2 binary64)) |
| Outputs |
|---|
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x)) |
(*.f64 (neg.f64 (pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/4 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/4 binary64)))) |
(*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x)) |
(*.f64 (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 x) (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/4 binary64)) (pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(pow.f64 (exp.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/2 binary64)) |
(/.f64 (sqrt.f64 #s(literal 0 binary64)) (sqrt.f64 #s(literal 0 binary64))) |
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))) (sqrt.f64 (+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))))) |
(sqrt.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) |
(hypot.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x))) |
(hypot.f64 (neg.f64 (neg.f64 x)) (pow.f64 (neg.f64 x) #s(literal 1 binary64))) |
(hypot.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)) |
(hypot.f64 (neg.f64 (neg.f64 x)) x) |
(hypot.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (neg.f64 (neg.f64 x))) |
(hypot.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal 1 binary64))) |
(hypot.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (neg.f64 x)) |
(hypot.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) x) |
(hypot.f64 (neg.f64 x) (neg.f64 (neg.f64 x))) |
(hypot.f64 (neg.f64 x) (pow.f64 (neg.f64 x) #s(literal 1 binary64))) |
(hypot.f64 (neg.f64 x) (neg.f64 x)) |
(hypot.f64 (neg.f64 x) x) |
(hypot.f64 x (neg.f64 (neg.f64 x))) |
(hypot.f64 x (pow.f64 (neg.f64 x) #s(literal 1 binary64))) |
(hypot.f64 x (neg.f64 x)) |
(hypot.f64 x x) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 1/2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 1/2 binary64)))) |
(*.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x)) |
(*.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x)) (neg.f64 x)) |
(*.f64 (*.f64 x #s(literal 2 binary64)) x) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64)))) |
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 2 binary64))) |
(*.f64 (neg.f64 x) (+.f64 (neg.f64 x) (neg.f64 x))) |
(*.f64 (neg.f64 x) (-.f64 (neg.f64 x) x)) |
(*.f64 (*.f64 x x) #s(literal 2 binary64)) |
(*.f64 x (*.f64 x #s(literal 2 binary64))) |
(*.f64 #s(literal 2 binary64) (*.f64 x x)) |
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (neg.f64 x) x) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 x x) (*.f64 (neg.f64 x) x))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))))) |
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) |
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64)))) |
(fma.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (neg.f64 (neg.f64 x)) x)) |
(fma.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x x)) |
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 (neg.f64 (neg.f64 x)) x)) |
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 x x)) |
(fma.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 (neg.f64 x)) x)) |
(fma.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 x x)) |
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x) (*.f64 (neg.f64 (neg.f64 x)) x)) |
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x) (*.f64 x x)) |
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (neg.f64 (neg.f64 x)) x)) |
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 x x)) |
(fma.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64) (*.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64))) |
(fma.f64 x x (*.f64 (neg.f64 (neg.f64 x)) x)) |
(fma.f64 x x (*.f64 x x)) |
(fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64))) |
(-.f64 (*.f64 x x) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x))) |
(-.f64 (*.f64 x x) (*.f64 (neg.f64 x) x)) |
(+.f64 (fma.f64 x x (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) |
(+.f64 (*.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64))) |
(+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (-.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 (neg.f64 x) x))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (+.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 x x))) |
(+.f64 (*.f64 x x) (*.f64 (neg.f64 (neg.f64 x)) x)) |
(+.f64 (*.f64 x x) (*.f64 x x)) |
(*.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x)) |
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x))) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x)) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 x x) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x)) |
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (neg.f64 x) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) (*.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))) (-.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))) |
(/.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (-.f64 (*.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) (*.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))))) |
(neg.f64 (*.f64 (neg.f64 x) x)) |
(fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (log.f64 x)) (cosh.f64 (log.f64 x))) (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) |
(sqrt.f64 (pow.f64 x #s(literal 4 binary64))) |
(fabs.f64 (*.f64 x x)) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(+.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) |
Compiled 1 024 to 269 computations (73.7% saved)
6 alts after pruning (6 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 94 | 6 | 100 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 95 | 6 | 101 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (hypot.f64 x x) |
| 45.6% | (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x)) | |
| ▶ | 45.8% | (*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x)) |
| ▶ | 47.0% | (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
| ▶ | 54.2% | (sqrt.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64))) |
| ▶ | 54.4% | #s(approx (sqrt (* 2 (pow x 2))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))) |
Compiled 80 to 66 computations (17.5% saved)
| 1× | egg-herbie |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sqrt.f64 x) | |
| cost-diff | 0 | (*.f64 x #s(literal 2 binary64)) | |
| cost-diff | 0 | (sqrt.f64 (*.f64 x #s(literal 2 binary64))) | |
| cost-diff | 0 | (*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x)) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (*.f64 (*.f64 x x) #s(literal 2 binary64)) | |
| cost-diff | 3 | (sqrt.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64))) | |
| cost-diff | 0 | (sqrt.f64 #s(literal 2 binary64)) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))) | |
| cost-diff | 0 | #s(approx (sqrt (* 2 (pow x 2))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))) | |
| cost-diff | 0 | (sqrt.f64 #s(literal 2 binary64)) | |
| cost-diff | 0 | (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) | |
| cost-diff | 0 | (hypot.f64 x x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 69 |
| 0 | 31 | 63 |
| 1 | 47 | 63 |
| 2 | 89 | 63 |
| 3 | 157 | 63 |
| 4 | 234 | 63 |
| 5 | 275 | 63 |
| 6 | 303 | 63 |
| 7 | 318 | 63 |
| 0 | 318 | 63 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(hypot.f64 x x) |
x |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
x |
#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))) |
(neg.f64 x) |
x |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(sqrt.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64))) |
(*.f64 (*.f64 x x) #s(literal 2 binary64)) |
(*.f64 x x) |
x |
#s(literal 2 binary64) |
(*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x)) |
(sqrt.f64 (*.f64 x #s(literal 2 binary64))) |
(*.f64 x #s(literal 2 binary64)) |
x |
#s(literal 2 binary64) |
(sqrt.f64 x) |
| Outputs |
|---|
(hypot.f64 x x) |
x |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
x |
#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))) |
(neg.f64 x) |
x |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(sqrt.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64))) |
(hypot.f64 x x) |
(*.f64 (*.f64 x x) #s(literal 2 binary64)) |
(*.f64 x x) |
x |
#s(literal 2 binary64) |
(*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 #s(literal 2 binary64) x))) |
(sqrt.f64 (*.f64 x #s(literal 2 binary64))) |
(sqrt.f64 (*.f64 #s(literal 2 binary64) x)) |
(*.f64 x #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) x) |
x |
#s(literal 2 binary64) |
(sqrt.f64 x) |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (*.f64 x #s(literal 2 binary64)) | |
| accuracy | 0.0 | (sqrt.f64 x) | |
| accuracy | 0.1640625 | (*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x)) | |
| accuracy | 0.23827684462574508 | (sqrt.f64 (*.f64 x #s(literal 2 binary64))) | |
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 0.00390625 | (*.f64 (*.f64 x x) #s(literal 2 binary64)) | |
| accuracy | 13.787541534488268 | (sqrt.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64))) | |
| accuracy | 0.0 | (sqrt.f64 #s(literal 2 binary64)) | |
| accuracy | 0.0 | (neg.f64 x) | |
| accuracy | 0.18359375 | (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))) | |
| accuracy | 28.894236814586698 | #s(approx (sqrt (* 2 (pow x 2))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))) | |
| accuracy | 0.0 | (sqrt.f64 #s(literal 2 binary64)) | |
| accuracy | 0.18359375 | (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) | |
| accuracy | 0.0 | (hypot.f64 x x) |
| 49.0ms | 138× | 0 | invalid |
| 17.0ms | 118× | 0 | valid |
Compiled 70 to 19 computations (72.9% saved)
ival-sqrt: 37.0ms (67.8% of total)ival-mult: 9.0ms (16.5% of total)ival-hypot: 5.0ms (9.2% of total)ival-pow2: 2.0ms (3.7% of total)ival-neg: 1.0ms (1.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(hypot.f64 x x) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(sqrt.f64 #s(literal 2 binary64)) |
#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))) |
(neg.f64 x) |
(sqrt.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64))) |
(*.f64 (*.f64 x x) #s(literal 2 binary64)) |
(*.f64 x x) |
(*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x)) |
(sqrt.f64 (*.f64 x #s(literal 2 binary64))) |
(*.f64 x #s(literal 2 binary64)) |
(sqrt.f64 x) |
| Outputs |
|---|
(* x (sqrt 2)) |
(* -1 (* x (sqrt 2))) |
(* -1 x) |
(* 2 (pow x 2)) |
(pow x 2) |
(* (sqrt x) (sqrt 2)) |
(* 2 x) |
(sqrt x) |
(* -1 (* x (* (sqrt -2) (sqrt -1)))) |
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1)))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | -inf | ((sqrt (+ (* x x) (* x x))) (* (sqrt 2) x) (sqrt 2) (sqrt (* 2 (pow x 2))) (* (neg x) (sqrt 2)) (neg x) (sqrt (* (* x x) 2)) (* (* x x) 2) (* x x) (* (sqrt (* x 2)) (sqrt x)) (sqrt (* x 2)) (* x 2) (sqrt x)) |
| 2.0ms | x | @ | inf | ((sqrt (+ (* x x) (* x x))) (* (sqrt 2) x) (sqrt 2) (sqrt (* 2 (pow x 2))) (* (neg x) (sqrt 2)) (neg x) (sqrt (* (* x x) 2)) (* (* x x) 2) (* x x) (* (sqrt (* x 2)) (sqrt x)) (sqrt (* x 2)) (* x 2) (sqrt x)) |
| 2.0ms | x | @ | 0 | ((sqrt (+ (* x x) (* x x))) (* (sqrt 2) x) (sqrt 2) (sqrt (* 2 (pow x 2))) (* (neg x) (sqrt 2)) (neg x) (sqrt (* (* x x) 2)) (* (* x x) 2) (* x x) (* (sqrt (* x 2)) (sqrt x)) (sqrt (* x 2)) (* x 2) (sqrt x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 48 |
| 1 | 56 | 48 |
| 2 | 145 | 48 |
| 3 | 307 | 48 |
| 4 | 636 | 48 |
| 5 | 989 | 48 |
| 6 | 1074 | 48 |
| 7 | 1094 | 48 |
| 8 | 1094 | 48 |
| 9 | 1214 | 48 |
| 10 | 1270 | 48 |
| 11 | 1270 | 48 |
| 12 | 1386 | 48 |
| 13 | 1600 | 48 |
| 14 | 1936 | 48 |
| 15 | 2304 | 48 |
| 16 | 2755 | 48 |
| 17 | 3624 | 48 |
| 18 | 5022 | 48 |
| 19 | 7128 | 48 |
| 0 | 8052 | 48 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (sqrt 2)) |
(* -1 (* x (sqrt 2))) |
(* -1 x) |
(* 2 (pow x 2)) |
(pow x 2) |
(* (sqrt x) (sqrt 2)) |
(* 2 x) |
(sqrt x) |
(* -1 (* x (* (sqrt -2) (sqrt -1)))) |
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1)))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
| Outputs |
|---|
(* x (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(* -1 (* x (sqrt 2))) |
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))) |
(* -1 x) |
(neg.f64 x) |
(* 2 (pow x 2)) |
(*.f64 (*.f64 #s(literal 2 binary64) x) x) |
(pow x 2) |
(*.f64 x x) |
(* (sqrt x) (sqrt 2)) |
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(sqrt x) |
(sqrt.f64 x) |
(* -1 (* x (* (sqrt -2) (sqrt -1)))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64))) (neg.f64 x)) |
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1)))) |
(*.f64 (neg.f64 (sqrt.f64 #s(literal -2 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 58 |
| 0 | 31 | 47 |
| 1 | 76 | 43 |
| 0 | 301 | 43 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| 1× | iter limit |
| Inputs |
|---|
(hypot.f64 x x) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(sqrt.f64 #s(literal 2 binary64)) |
#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))) |
(neg.f64 x) |
(sqrt.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64))) |
(*.f64 (*.f64 x x) #s(literal 2 binary64)) |
(*.f64 x x) |
(*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x)) |
(sqrt.f64 (*.f64 x #s(literal 2 binary64))) |
(*.f64 x #s(literal 2 binary64)) |
(sqrt.f64 x) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/4 binary64)) (pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 #s(literal 2 binary64) x))) |
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/2 binary64)) |
(/.f64 (sqrt.f64 #s(literal 0 binary64)) (sqrt.f64 #s(literal 0 binary64))) |
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))) (sqrt.f64 (+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))))) |
(sqrt.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) |
(hypot.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x))) |
(hypot.f64 (neg.f64 (neg.f64 x)) (exp.f64 (log.f64 x))) |
(hypot.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)) |
(hypot.f64 (neg.f64 (neg.f64 x)) x) |
(hypot.f64 (exp.f64 (log.f64 x)) (neg.f64 (neg.f64 x))) |
(hypot.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x))) |
(hypot.f64 (exp.f64 (log.f64 x)) (neg.f64 x)) |
(hypot.f64 (exp.f64 (log.f64 x)) x) |
(hypot.f64 (neg.f64 x) (neg.f64 (neg.f64 x))) |
(hypot.f64 (neg.f64 x) (exp.f64 (log.f64 x))) |
(hypot.f64 (neg.f64 x) (neg.f64 x)) |
(hypot.f64 (neg.f64 x) x) |
(hypot.f64 x (neg.f64 (neg.f64 x))) |
(hypot.f64 x (exp.f64 (log.f64 x))) |
(hypot.f64 x (neg.f64 x)) |
(hypot.f64 x x) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/4 binary64)) (pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 #s(literal 2 binary64) x))) |
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/2 binary64)) |
(/.f64 (sqrt.f64 #s(literal 0 binary64)) (sqrt.f64 #s(literal 0 binary64))) |
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))) (sqrt.f64 (+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))))) |
(sqrt.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) |
(hypot.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x))) |
(hypot.f64 (neg.f64 (neg.f64 x)) (exp.f64 (log.f64 x))) |
(hypot.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)) |
(hypot.f64 (neg.f64 (neg.f64 x)) x) |
(hypot.f64 (exp.f64 (log.f64 x)) (neg.f64 (neg.f64 x))) |
(hypot.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x))) |
(hypot.f64 (exp.f64 (log.f64 x)) (neg.f64 x)) |
(hypot.f64 (exp.f64 (log.f64 x)) x) |
(hypot.f64 (neg.f64 x) (neg.f64 (neg.f64 x))) |
(hypot.f64 (neg.f64 x) (exp.f64 (log.f64 x))) |
(hypot.f64 (neg.f64 x) (neg.f64 x)) |
(hypot.f64 (neg.f64 x) x) |
(hypot.f64 x (neg.f64 (neg.f64 x))) |
(hypot.f64 x (exp.f64 (log.f64 x))) |
(hypot.f64 x (neg.f64 x)) |
(hypot.f64 x x) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) |
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) |
(sqrt.f64 #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
#s(approx (sqrt (* 2 (pow x 2))) (neg.f64 (hypot.f64 x x))) |
(*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) x) |
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 x)) |
(*.f64 x (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) |
(neg.f64 (hypot.f64 x x)) |
(neg.f64 x) |
(*.f64 (pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/4 binary64)) (pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 #s(literal 2 binary64) x))) |
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/2 binary64)) |
(/.f64 (sqrt.f64 #s(literal 0 binary64)) (sqrt.f64 #s(literal 0 binary64))) |
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))) (sqrt.f64 (+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))))) |
(sqrt.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) |
(hypot.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x))) |
(hypot.f64 (neg.f64 (neg.f64 x)) (exp.f64 (log.f64 x))) |
(hypot.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)) |
(hypot.f64 (neg.f64 (neg.f64 x)) x) |
(hypot.f64 (exp.f64 (log.f64 x)) (neg.f64 (neg.f64 x))) |
(hypot.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x))) |
(hypot.f64 (exp.f64 (log.f64 x)) (neg.f64 x)) |
(hypot.f64 (exp.f64 (log.f64 x)) x) |
(hypot.f64 (neg.f64 x) (neg.f64 (neg.f64 x))) |
(hypot.f64 (neg.f64 x) (exp.f64 (log.f64 x))) |
(hypot.f64 (neg.f64 x) (neg.f64 x)) |
(hypot.f64 (neg.f64 x) x) |
(hypot.f64 x (neg.f64 (neg.f64 x))) |
(hypot.f64 x (exp.f64 (log.f64 x))) |
(hypot.f64 x (neg.f64 x)) |
(hypot.f64 x x) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x)) (neg.f64 x)) |
(*.f64 (*.f64 #s(literal 2 binary64) x) x) |
(*.f64 (*.f64 x x) #s(literal 2 binary64)) |
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 2 binary64))) |
(*.f64 (neg.f64 x) (+.f64 (neg.f64 x) (neg.f64 x))) |
(*.f64 (neg.f64 x) (-.f64 (neg.f64 x) x)) |
(*.f64 #s(literal 2 binary64) (*.f64 x x)) |
(*.f64 x (-.f64 x (neg.f64 x))) |
(*.f64 x (*.f64 #s(literal 2 binary64) x)) |
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (neg.f64 x) x) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 x x) (*.f64 (neg.f64 x) x))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))))) |
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) |
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64)))) |
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 (neg.f64 (neg.f64 x)) x)) |
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 x x)) |
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 (neg.f64 (neg.f64 x)) x)) |
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 x x)) |
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (neg.f64 (neg.f64 x)) x)) |
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 x x)) |
(fma.f64 x x (*.f64 (neg.f64 (neg.f64 x)) x)) |
(fma.f64 x x (*.f64 x x)) |
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64))) |
(-.f64 (*.f64 x x) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x))) |
(-.f64 (*.f64 x x) (*.f64 (neg.f64 x) x)) |
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))))) |
(+.f64 (*.f64 x x) (*.f64 (neg.f64 (neg.f64 x)) x)) |
(+.f64 (*.f64 x x) (*.f64 x x)) |
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x))) |
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x))) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 x x) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 (neg.f64 x) #s(literal 2 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(neg.f64 (*.f64 (neg.f64 x) x)) |
(fabs.f64 (*.f64 x x)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/4 binary64)) (pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 #s(literal 2 binary64) x))) |
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/2 binary64)) |
(/.f64 (sqrt.f64 #s(literal 0 binary64)) (sqrt.f64 #s(literal 0 binary64))) |
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))) (sqrt.f64 (+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))))) |
(sqrt.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) |
(hypot.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x))) |
(hypot.f64 (neg.f64 (neg.f64 x)) (exp.f64 (log.f64 x))) |
(hypot.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)) |
(hypot.f64 (neg.f64 (neg.f64 x)) x) |
(hypot.f64 (exp.f64 (log.f64 x)) (neg.f64 (neg.f64 x))) |
(hypot.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x))) |
(hypot.f64 (exp.f64 (log.f64 x)) (neg.f64 x)) |
(hypot.f64 (exp.f64 (log.f64 x)) x) |
(hypot.f64 (neg.f64 x) (neg.f64 (neg.f64 x))) |
(hypot.f64 (neg.f64 x) (exp.f64 (log.f64 x))) |
(hypot.f64 (neg.f64 x) (neg.f64 x)) |
(hypot.f64 (neg.f64 x) x) |
(hypot.f64 x (neg.f64 (neg.f64 x))) |
(hypot.f64 x (exp.f64 (log.f64 x))) |
(hypot.f64 x (neg.f64 x)) |
(hypot.f64 x x) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)) |
(pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64)) |
(sqrt.f64 (*.f64 #s(literal 2 binary64) x)) |
(hypot.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x))) |
(hypot.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 x)) |
(hypot.f64 (sqrt.f64 x) (sqrt.f64 (neg.f64 x))) |
(hypot.f64 (sqrt.f64 x) (sqrt.f64 x)) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64))) |
(*.f64 #s(literal 2 binary64) x) |
(*.f64 x #s(literal 2 binary64)) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x #s(literal 0 binary64))) |
(/.f64 #s(literal 0 binary64) (-.f64 x x)) |
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) x) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) x) |
(+.f64 x x) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))) |
(pow.f64 x #s(literal 1/2 binary64)) |
(sqrt.f64 x) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64))) |
Compiled 1 026 to 283 computations (72.4% saved)
6 alts after pruning (2 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 109 | 2 | 111 |
| Fresh | 1 | 0 | 1 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 0 | 0 |
| Total | 111 | 6 | 117 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (hypot.f64 x x) |
| ▶ | 45.6% | (*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x)) |
| ▶ | 45.8% | (*.f64 (sqrt.f64 (+.f64 x x)) (sqrt.f64 x)) |
| ✓ | 47.0% | (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
| ✓ | 54.2% | (sqrt.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64))) |
| ✓ | 54.4% | #s(approx (sqrt (* 2 (pow x 2))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))) |
Compiled 40 to 32 computations (20% saved)
| 1× | egg-herbie |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sqrt.f64 #s(literal 2 binary64)) | |
| cost-diff | 0 | (sqrt.f64 x) | |
| cost-diff | 0 | (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) | |
| cost-diff | 4 | (*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x)) | |
| cost-diff | 0 | (sqrt.f64 x) | |
| cost-diff | 0 | (+.f64 x x) | |
| cost-diff | 0 | (sqrt.f64 (+.f64 x x)) | |
| cost-diff | 0 | (*.f64 (sqrt.f64 (+.f64 x x)) (sqrt.f64 x)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 36 |
| 0 | 16 | 36 |
| 1 | 23 | 36 |
| 2 | 29 | 32 |
| 3 | 35 | 32 |
| 4 | 67 | 32 |
| 5 | 130 | 32 |
| 6 | 168 | 32 |
| 7 | 196 | 32 |
| 8 | 220 | 32 |
| 9 | 235 | 32 |
| 0 | 235 | 32 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (sqrt.f64 (+.f64 x x)) (sqrt.f64 x)) |
(sqrt.f64 (+.f64 x x)) |
(+.f64 x x) |
x |
(sqrt.f64 x) |
(*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) |
(sqrt.f64 x) |
x |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
| Outputs |
|---|
(*.f64 (sqrt.f64 (+.f64 x x)) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 #s(literal 2 binary64) x))) |
(sqrt.f64 (+.f64 x x)) |
(sqrt.f64 (*.f64 #s(literal 2 binary64) x)) |
(+.f64 x x) |
(*.f64 #s(literal 2 binary64) x) |
x |
(sqrt.f64 x) |
(*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)) |
(sqrt.f64 x) |
x |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (sqrt.f64 x) | |
| accuracy | 0.0 | (sqrt.f64 #s(literal 2 binary64)) | |
| accuracy | 0.1640625 | (*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x)) | |
| accuracy | 0.21484375 | (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) | |
| accuracy | 0.0 | (+.f64 x x) | |
| accuracy | 0.0 | (sqrt.f64 x) | |
| accuracy | 0.1640625 | (*.f64 (sqrt.f64 (+.f64 x x)) (sqrt.f64 x)) | |
| accuracy | 0.23827684462574508 | (sqrt.f64 (+.f64 x x)) |
| 9.0ms | 138× | 0 | invalid |
| 8.0ms | 118× | 0 | valid |
Compiled 38 to 11 computations (71.1% saved)
ival-sqrt: 4.0ms (42.1% of total)ival-mult: 3.0ms (31.6% of total)ival-add: 1.0ms (10.5% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (sqrt.f64 (+.f64 x x)) (sqrt.f64 x)) |
(sqrt.f64 (+.f64 x x)) |
(+.f64 x x) |
(sqrt.f64 x) |
(*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) |
(sqrt.f64 #s(literal 2 binary64)) |
| Outputs |
|---|
(* x (sqrt 2)) |
(* (sqrt x) (sqrt 2)) |
(* 2 x) |
(sqrt x) |
(* -1 (* x (* (sqrt -2) (sqrt -1)))) |
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1)))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2)))) |
(* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (sqrt 2)))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | -inf | ((* (sqrt (+ x x)) (sqrt x)) (sqrt (+ x x)) (+ x x) (sqrt x) (* (* (sqrt x) (sqrt 2)) (sqrt x)) (* (sqrt x) (sqrt 2)) (sqrt 2)) |
| 1.0ms | x | @ | inf | ((* (sqrt (+ x x)) (sqrt x)) (sqrt (+ x x)) (+ x x) (sqrt x) (* (* (sqrt x) (sqrt 2)) (sqrt x)) (* (sqrt x) (sqrt 2)) (sqrt 2)) |
| 1.0ms | x | @ | 0 | ((* (sqrt (+ x x)) (sqrt x)) (sqrt (+ x x)) (+ x x) (sqrt x) (* (* (sqrt x) (sqrt 2)) (sqrt x)) (* (sqrt x) (sqrt 2)) (sqrt 2)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 42 |
| 1 | 62 | 42 |
| 2 | 207 | 42 |
| 3 | 430 | 42 |
| 4 | 932 | 42 |
| 5 | 1380 | 42 |
| 6 | 1421 | 42 |
| 7 | 1425 | 42 |
| 8 | 1425 | 42 |
| 9 | 1425 | 42 |
| 10 | 1501 | 42 |
| 11 | 1634 | 42 |
| 0 | 1634 | 42 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(* x (sqrt 2)) |
(* (sqrt x) (sqrt 2)) |
(* 2 x) |
(sqrt x) |
(* -1 (* x (* (sqrt -2) (sqrt -1)))) |
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1)))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2)))) |
(* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (sqrt 2)))) |
| Outputs |
|---|
(* x (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(* (sqrt x) (sqrt 2)) |
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(sqrt x) |
(sqrt.f64 x) |
(* -1 (* x (* (sqrt -2) (sqrt -1)))) |
(*.f64 (neg.f64 x) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64)))) |
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1)))) |
(*.f64 (neg.f64 (sqrt.f64 #s(literal -2 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2)))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (sqrt 2)))) |
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 31 |
| 0 | 16 | 27 |
| 1 | 40 | 27 |
| 0 | 156 | 27 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (sqrt.f64 (+.f64 x x)) (sqrt.f64 x)) |
(sqrt.f64 (+.f64 x x)) |
(+.f64 x x) |
(sqrt.f64 x) |
(*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) |
(sqrt.f64 #s(literal 2 binary64)) |
| Outputs |
|---|
(*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 x) (sqrt.f64 x))) |
(*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 #s(literal 2 binary64) x))) |
(pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x) #s(literal 1/2 binary64)) |
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) |
(pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64)) |
(/.f64 (sqrt.f64 #s(literal 0 binary64)) (sqrt.f64 #s(literal 0 binary64))) |
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 x x #s(literal 0 binary64)))) |
(sqrt.f64 (*.f64 #s(literal 2 binary64) x)) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64))) |
(*.f64 #s(literal 2 binary64) x) |
(*.f64 x #s(literal 2 binary64)) |
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x #s(literal 0 binary64)))) |
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) |
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x #s(literal 0 binary64))) |
(-.f64 (/.f64 (*.f64 x x) #s(literal 0 binary64)) (/.f64 (*.f64 x x) #s(literal 0 binary64))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal 0 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal 0 binary64)))) |
(+.f64 x x) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))) |
(pow.f64 x #s(literal 1/2 binary64)) |
(sqrt.f64 x) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 x) (sqrt.f64 x))) |
(*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 #s(literal 2 binary64) x))) |
(pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x) #s(literal 1/2 binary64)) |
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) |
(pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64)) |
(/.f64 (sqrt.f64 #s(literal 0 binary64)) (sqrt.f64 #s(literal 0 binary64))) |
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 x x #s(literal 0 binary64)))) |
(sqrt.f64 (*.f64 #s(literal 2 binary64) x)) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) |
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) |
(sqrt.f64 #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
Compiled 503 to 133 computations (73.6% saved)
6 alts after pruning (0 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 48 | 0 | 48 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 2 | 2 |
| Done | 0 | 4 | 4 |
| Total | 48 | 6 | 54 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (hypot.f64 x x) |
| ✓ | 45.6% | (*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x)) |
| ✓ | 45.8% | (*.f64 (sqrt.f64 (+.f64 x x)) (sqrt.f64 x)) |
| ✓ | 47.0% | (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
| ✓ | 54.2% | (sqrt.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64))) |
| ✓ | 54.4% | #s(approx (sqrt (* 2 (pow x 2))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))) |
Compiled 101 to 61 computations (39.6% saved)
| Inputs |
|---|
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))) |
(sqrt.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 (+.f64 x x)) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x)) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x)) |
(*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x)) |
(hypot.f64 x x) |
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) |
| Outputs |
|---|
(hypot.f64 x x) |
4 calls:
| 3.0ms | x |
| 3.0ms | (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) |
| 3.0ms | (pow.f64 x #s(literal 2 binary64)) |
| 3.0ms | (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | (pow.f64 x #s(literal 2 binary64)) |
| 100.0% | 1 | (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) |
| 100.0% | 1 | (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) |
| 100.0% | 1 | x |
Compiled 15 to 13 computations (13.3% saved)
| Inputs |
|---|
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))) |
(sqrt.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 (+.f64 x x)) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x)) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x)) |
(*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x)) |
| Outputs |
|---|
#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 (+.f64 x x)) (sqrt.f64 x)) |
4 calls:
| 3.0ms | (pow.f64 x #s(literal 2 binary64)) |
| 2.0ms | x |
| 2.0ms | (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) |
| 2.0ms | (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 76.7% | 3 | (pow.f64 x #s(literal 2 binary64)) |
| 76.7% | 3 | (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) |
| 76.7% | 3 | (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) |
| 99.3% | 2 | x |
Compiled 15 to 13 computations (13.3% saved)
| Inputs |
|---|
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))) |
(sqrt.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64))) |
| Outputs |
|---|
#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
1 calls:
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.3% | 2 | x |
Compiled 1 to 1 computations (0% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
| Outputs |
|---|
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
4 calls:
| 1.0ms | x |
| 1.0ms | (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) |
| 1.0ms | (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) |
| 1.0ms | (pow.f64 x #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 47.0% | 1 | (pow.f64 x #s(literal 2 binary64)) |
| 47.0% | 1 | (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) |
| 47.0% | 1 | (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) |
| 47.0% | 1 | x |
Compiled 15 to 13 computations (13.3% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | -7.728964269891208e-301 | 2.8706104238048452e-300 |
| 7.0ms | 160× | 0 | valid |
Compiled 199 to 179 computations (10.1% saved)
ival-pow2: 2.0ms (52% of total)ival-mult: 1.0ms (26% of total)ival-sqrt: 1.0ms (26% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | -7.728964269891208e-301 | 2.8706104238048452e-300 |
Compiled 169 to 169 computations (0% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 50 |
| 1 | 31 | 50 |
| 2 | 49 | 50 |
| 3 | 93 | 50 |
| 4 | 171 | 50 |
| 5 | 265 | 50 |
| 6 | 463 | 50 |
| 7 | 2134 | 50 |
| 8 | 3822 | 50 |
| 1× | node limit |
| Inputs |
|---|
(hypot.f64 x x) |
(if (<=.f64 x #s(literal -20240225330731/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (sqrt (* 2 (pow x 2))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (+.f64 x x)) (sqrt.f64 x))) |
(if (<=.f64 x #s(literal -20240225330731/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (sqrt (* 2 (pow x 2))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
| Outputs |
|---|
(hypot.f64 x x) |
(if (<=.f64 x #s(literal -20240225330731/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (sqrt (* 2 (pow x 2))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (+.f64 x x)) (sqrt.f64 x))) |
(if (<=.f64 x #s(literal -20240225330731/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (sqrt (* 2 (pow x 2))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 14 |
| 0 | 8 | 14 |
| 1 | 24 | 12 |
| 2 | 80 | 10 |
| 0 | 488 | 9 |
| 0 | 18 | 58 |
| 0 | 31 | 47 |
| 1 | 76 | 43 |
| 0 | 301 | 43 |
| 0 | 8 | 17 |
| 1 | 18 | 17 |
| 2 | 43 | 17 |
| 3 | 92 | 17 |
| 4 | 228 | 17 |
| 5 | 437 | 17 |
| 6 | 485 | 17 |
| 0 | 485 | 17 |
| 1× | done |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| 1× | iter limit |
Compiled 50 to 20 computations (60% saved)
Compiled 112 to 50 computations (55.4% saved)
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