
Time bar (total: 11.4s)
| 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 8 to 7 computations (12.5% saved)
| 3.9s | 8 256× | 0 | valid |
ival-mult: 212.0ms (70.7% of total)ival-sqrt: 74.0ms (24.7% of total)ival-true: 6.0ms (2% of total)exact: 5.0ms (1.7% of total)ival-assert: 3.0ms (1% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 127 | 0 | - | 2 | (-3.746900881540727e-156) | (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 #s(literal 2 binary64) x) x) |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 2 binary64) x) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
sqrt.f64 | (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) | oflow-rescue | 68 | 0 |
| ↳ | (*.f64 (*.f64 #s(literal 2 binary64) x) x) | overflow | 68 | |
sqrt.f64 | (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) | uflow-rescue | 57 | 0 |
| ↳ | (*.f64 (*.f64 #s(literal 2 binary64) x) x) | underflow | 57 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 125 | 2 |
| - | 0 | 129 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 125 | 0 | 2 |
| - | 0 | 0 | 129 |
| number | freq |
|---|---|
| 0 | 131 |
| 1 | 125 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 28.0ms | 512× | 0 | valid |
Compiled 58 to 24 computations (58.6% saved)
ival-mult: 7.0ms (61.1% of total)ival-sqrt: 4.0ms (34.9% 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 | 17 |
| 1 | 21 | 13 |
| 2 | 62 | 13 |
| 3 | 151 | 13 |
| 4 | 220 | 13 |
| 5 | 239 | 13 |
| 6 | 241 | 13 |
| 0 | 5 | 6 |
| 0 | 8 | 6 |
| 1 | 12 | 6 |
| 2 | 13 | 6 |
| 0 | 13 | 6 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
| Outputs |
|---|
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
(sqrt.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) x)) |
(abs x)
Compiled 6 to 5 computations (16.7% saved)
Compiled 0 to 1 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 54.4% | (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
Compiled 6 to 5 computations (16.7% saved)
| 1× | egg-herbie |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 #s(literal 2 binary64) x) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(literal 2 binary64) x) x) | |
| cost-diff | 0 | (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 16 |
| 0 | 8 | 16 |
| 1 | 12 | 16 |
| 2 | 13 | 16 |
| 0 | 13 | 16 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
(*.f64 (*.f64 #s(literal 2 binary64) x) x) |
(*.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
x |
| Outputs |
|---|
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
(sqrt.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) x)) |
(*.f64 (*.f64 #s(literal 2 binary64) x) x) |
(*.f64 (*.f64 x #s(literal 2 binary64)) x) |
(*.f64 #s(literal 2 binary64) x) |
(*.f64 x #s(literal 2 binary64)) |
#s(literal 2 binary64) |
x |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (*.f64 (*.f64 #s(literal 2 binary64) x) x) | |
| accuracy | 0.0 | (*.f64 #s(literal 2 binary64) x) | |
| accuracy | 29.2131874821052 | (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
| 10.0ms | 256× | 0 | valid |
Compiled 34 to 12 computations (64.7% saved)
ival-mult: 3.0ms (55.4% of total)ival-sqrt: 2.0ms (36.9% 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 (*.f64 #s(literal 2 binary64) x) x)) |
(*.f64 (*.f64 #s(literal 2 binary64) x) x) |
(*.f64 #s(literal 2 binary64) x) |
| Outputs |
|---|
(* x (sqrt 2)) |
(* 2 (pow x 2)) |
(* 2 x) |
(* -1 (* x (sqrt 2))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | ((sqrt (* (* 2 x) x)) (* (* 2 x) x) (* 2 x)) |
| 1.0ms | x | @ | inf | ((sqrt (* (* 2 x) x)) (* (* 2 x) x) (* 2 x)) |
| 1.0ms | x | @ | -inf | ((sqrt (* (* 2 x) x)) (* (* 2 x) x) (* 2 x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 17 |
| 1 | 17 | 17 |
| 2 | 32 | 17 |
| 3 | 36 | 17 |
| 4 | 40 | 17 |
| 5 | 52 | 17 |
| 6 | 64 | 17 |
| 7 | 75 | 17 |
| 8 | 95 | 17 |
| 9 | 100 | 17 |
| 0 | 100 | 17 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(* x (sqrt 2)) |
(* 2 (pow x 2)) |
(* 2 x) |
(* -1 (* x (sqrt 2))) |
| Outputs |
|---|
(* x (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(* 2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* -1 (* x (sqrt 2))) |
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 14 |
| 0 | 8 | 14 |
| 1 | 17 | 14 |
| 2 | 38 | 13 |
| 3 | 92 | 12 |
| 4 | 338 | 12 |
| 5 | 2074 | 12 |
| 0 | 8672 | 12 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
(*.f64 (*.f64 #s(literal 2 binary64) x) x) |
(*.f64 #s(literal 2 binary64) x) |
| Outputs |
|---|
(*.f64 (sqrt.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 3/4 binary64)))) (pow.f64 x #s(literal 1/8 binary64))) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 1/4 binary64)))) (pow.f64 x #s(literal 3/8 binary64))) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 x))) (pow.f64 x #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3/2 binary64)))) (pow.f64 x #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 3/4 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) x) #s(literal 7/16 binary64)) (pow.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) x) #s(literal 1/16 binary64))) |
(*.f64 (*.f64 (pow.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) x) #s(literal 3/8 binary64)) (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/8 binary64))) (pow.f64 x #s(literal 1/8 binary64))) |
(*.f64 (*.f64 (pow.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) x) #s(literal 3/8 binary64)) (pow.f64 x #s(literal 1/8 binary64))) (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/8 binary64))) |
(*.f64 (*.f64 (pow.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) x) #s(literal 3/8 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 #s(literal 4 binary64) #s(literal 1/16 binary64))) |
(*.f64 (*.f64 (pow.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) x) #s(literal 3/8 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/16 binary64))) (pow.f64 x #s(literal 1/4 binary64))) |
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 1/8 binary64))) (pow.f64 x #s(literal 1/8 binary64))) |
(*.f64 (*.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) (pow.f64 #s(literal 4 binary64) #s(literal 1/16 binary64))) (pow.f64 #s(literal 4 binary64) #s(literal 1/16 binary64))) |
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/8 binary64))) (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/8 binary64))) |
(*.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 x #s(literal 3/8 binary64)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 x #s(literal 2 binary64))))) |
(*.f64 (pow.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) x) #s(literal 3/8 binary64)) (pow.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) x) #s(literal 1/8 binary64))) |
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 1/4 binary64))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))) |
(*.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) |
(*.f64 (pow.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3/4 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) x) #s(literal 1/16 binary64)) (pow.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) x) #s(literal 7/16 binary64))) |
(*.f64 (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/8 binary64)) (*.f64 (pow.f64 x #s(literal 1/8 binary64)) (pow.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) x) #s(literal 3/8 binary64)))) |
(*.f64 (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/8 binary64)) (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))))) |
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (*.f64 x #s(literal 2 binary64))))) |
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (*.f64 (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/8 binary64)) (pow.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) x) #s(literal 3/8 binary64)))) |
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (*.f64 (pow.f64 x #s(literal 1/8 binary64)) (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/16 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) x) #s(literal 3/8 binary64)))) |
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/16 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/16 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x))) |
(*.f64 (pow.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) x) #s(literal 1/8 binary64)) (pow.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) x) #s(literal 3/8 binary64))) |
(*.f64 (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))))) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/16 binary64)) (pow.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) x) #s(literal 3/8 binary64)))) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)) |
(*.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x))) |
(*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(pow.f64 (*.f64 (exp.f64 #s(literal 1/2 binary64)) (exp.f64 #s(literal 1/2 binary64))) (/.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64))) |
(pow.f64 (*.f64 (pow.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) x) #s(literal 3 binary64)) (*.f64 (*.f64 x #s(literal 2 binary64)) x)) #s(literal 1/8 binary64)) |
(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64)) |
(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 4 binary64) x)) #s(literal 1/4 binary64)) |
(pow.f64 (*.f64 (*.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/4 binary64)) |
(pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/4 binary64)) |
(pow.f64 (*.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) x) (pow.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) x) #s(literal 3 binary64))) #s(literal 1/8 binary64)) |
(pow.f64 (*.f64 (exp.f64 #s(literal 1/4 binary64)) (exp.f64 #s(literal 1/4 binary64))) (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 2 binary64)))) |
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (-.f64 (pow.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (pow.f64 (log.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) x)) #s(literal -1 binary64))) |
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) (pow.f64 (log.f64 (/.f64 x (*.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64))) |
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (-.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (pow.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 1/2 binary64))) #s(literal -1 binary64))) |
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)))) (pow.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x))) #s(literal -1 binary64))) |
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (log.f64 x) (log.f64 (/.f64 x (*.f64 x #s(literal 2 binary64)))) (pow.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) (log.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) x)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 8 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x))))) #s(literal -1 binary64))) |
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 8 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 1/2 binary64))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x)))) |
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (fma.f64 #s(literal 4 binary64) (log.f64 x) (log.f64 #s(literal 4 binary64)))) |
(pow.f64 (pow.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) x) #s(literal 4 binary64)) #s(literal 1/8 binary64)) |
(pow.f64 (pow.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) x) #s(literal 1/16 binary64)) #s(literal 8 binary64)) |
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (+.f64 (/.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64)))) |
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 2 binary64))) #s(literal 1 binary64))) |
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 2 binary64)))) |
(pow.f64 (pow.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) x) #s(literal 1/8 binary64)) #s(literal 4 binary64)) |
(pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1 binary64)) |
(pow.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) x) #s(literal 1/2 binary64)) |
(/.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 (pow.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (log.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) x)))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) x))))) |
(/.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (/.f64 x (*.f64 x #s(literal 2 binary64)))))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 (pow.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (log.f64 (/.f64 x (*.f64 x #s(literal 2 binary64))))))) |
(/.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 1/2 binary64))))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 1/2 binary64)))))) |
(/.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x))))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)))))) |
(sqrt.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) x)) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) x) #s(literal 4 binary64))) #s(literal 1/8 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) x) #s(literal 1/8 binary64))) #s(literal 4 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))) |
(*.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 x #s(literal 1/4 binary64))) |
(*.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 3/4 binary64))) |
(*.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x)) |
(*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3/2 binary64))) (sqrt.f64 x)) |
(*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) |
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 x #s(literal 2 binary64)))) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (*.f64 x #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 x) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64)))) |
(*.f64 (*.f64 x x) #s(literal 2 binary64)) |
(*.f64 (*.f64 x #s(literal 2 binary64)) x) |
(*.f64 x (*.f64 x #s(literal 2 binary64))) |
(*.f64 #s(literal 2 binary64) (*.f64 x x)) |
(pow.f64 (exp.f64 (-.f64 (pow.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (pow.f64 (log.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) x)) #s(literal -1 binary64))) |
(pow.f64 (exp.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) (pow.f64 (log.f64 (/.f64 x (*.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64))) |
(pow.f64 (exp.f64 (-.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (pow.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 1/2 binary64))) #s(literal -1 binary64))) |
(pow.f64 (exp.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)))) (pow.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x))) #s(literal -1 binary64))) |
(pow.f64 (exp.f64 (+.f64 (pow.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (log.f64 x) (log.f64 (/.f64 x (*.f64 x #s(literal 2 binary64)))) (pow.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(pow.f64 (exp.f64 (+.f64 (pow.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) (log.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) x)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(pow.f64 (exp.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x))))) #s(literal -1 binary64))) |
(pow.f64 (exp.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 1/2 binary64))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(pow.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) x) #s(literal 1 binary64)) |
(/.f64 (exp.f64 (/.f64 (pow.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (log.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) x)))) (exp.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) x))))) |
(/.f64 (exp.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (/.f64 x (*.f64 x #s(literal 2 binary64)))))) (exp.f64 (/.f64 (pow.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (log.f64 (/.f64 x (*.f64 x #s(literal 2 binary64))))))) |
(/.f64 (exp.f64 (/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 1/2 binary64))))) (exp.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 1/2 binary64)))))) |
(/.f64 (exp.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x))))) (exp.f64 (/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)))))) |
(exp.f64 (*.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 2 binary64))) #s(literal 1 binary64))) |
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 2 binary64)))) |
(*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 x #s(literal 1/4 binary64))) |
(*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 3/4 binary64))) |
(*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 x)) |
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) |
(*.f64 x #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) x) |
(exp.f64 (log.f64 (*.f64 x #s(literal 2 binary64)))) |
Compiled 1 740 to 356 computations (79.5% saved)
8 alts after pruning (7 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 115 | 7 | 122 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 115 | 8 | 123 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.5% | (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) |
| 99.2% | (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))) | |
| ▶ | 66.7% | (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))))) |
| ▶ | 99.3% | (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)) |
| 99.5% | (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/16 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/16 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x))) | |
| ▶ | 99.5% | (*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x)) |
| ▶ | 99.3% | (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
| ✓ | 54.4% | (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
Compiled 132 to 107 computations (18.9% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) | |
| cost-diff | 0 | (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) | |
| cost-diff | 6784 | (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)) | |
| cost-diff | 0 | (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))) | |
| cost-diff | 0 | (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64)))) | |
| cost-diff | 0 | (pow.f64 x #s(literal 1/4 binary64)) | |
| cost-diff | 0 | (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))))) | |
| cost-diff | 0 | (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) | |
| cost-diff | 0 | (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) | |
| cost-diff | 0 | (pow.f64 x #s(literal 3/4 binary64)) | |
| cost-diff | 0 | (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) #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 | (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)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 107 |
| 0 | 40 | 107 |
| 1 | 53 | 103 |
| 2 | 61 | 103 |
| 0 | 61 | 103 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.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) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
x |
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) |
(pow.f64 x #s(literal 3/4 binary64)) |
x |
#s(literal 3/4 binary64) |
(sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 x) #s(literal 2 binary64)) |
(sqrt.f64 x) |
#s(literal 2 binary64) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))))) |
(pow.f64 x #s(literal 1/4 binary64)) |
x |
#s(literal 1/4 binary64) |
(sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))) |
(sqrt.f64 x) |
(*.f64 x #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)) |
(pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) |
#s(literal 4 binary64) |
#s(literal 1/8 binary64) |
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) |
x |
| Outputs |
|---|
(*.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) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
x |
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) (pow.f64 x #s(literal 3/4 binary64))) |
(pow.f64 x #s(literal 3/4 binary64)) |
x |
#s(literal 3/4 binary64) |
(sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 x) #s(literal 2 binary64)) |
(sqrt.f64 x) |
#s(literal 2 binary64) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))))) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) x)) (pow.f64 x #s(literal 1/4 binary64))) |
(pow.f64 x #s(literal 1/4 binary64)) |
x |
#s(literal 1/4 binary64) |
(sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64)))) |
(sqrt.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) x)) |
(*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))) |
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) x) |
(sqrt.f64 x) |
(*.f64 x #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)) |
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) x) |
(pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) |
#s(literal 4 binary64) |
#s(literal 1/8 binary64) |
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) |
x |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) | |
| accuracy | 0.2109375 | (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) | |
| accuracy | 0.3125 | (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)) | |
| accuracy | 0.0 | (sqrt.f64 x) | |
| accuracy | 0.14453125 | (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))) | |
| accuracy | 0.28125 | (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))))) | |
| accuracy | 21.80453512555968 | (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64)))) | |
| accuracy | 0.0 | (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) | |
| accuracy | 0.0 | (sqrt.f64 x) | |
| accuracy | 0.12890625 | (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) | |
| accuracy | 0.3046875 | (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) | |
| accuracy | 0.0 | (sqrt.f64 #s(literal 2 binary64)) | |
| accuracy | 0.41796875 | (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) | |
| accuracy | 0.0 | (*.f64 x #s(literal 2 binary64)) | |
| accuracy | 0.0 | (sqrt.f64 (*.f64 x #s(literal 2 binary64))) | |
| accuracy | 0.0 | (sqrt.f64 x) | |
| accuracy | 0.305351269536884 | (*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x)) |
| 82.0ms | 256× | 0 | valid |
Compiled 216 to 48 computations (77.8% saved)
ival-pow: 14.0ms (39.3% of total)ival-mult: 13.0ms (36.5% of total)ival-sqrt: 8.0ms (22.5% of total)exact: 1.0ms (2.8% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(*.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) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(sqrt.f64 #s(literal 2 binary64)) |
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) |
(pow.f64 x #s(literal 3/4 binary64)) |
(sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 x) #s(literal 2 binary64)) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))))) |
(pow.f64 x #s(literal 1/4 binary64)) |
(sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))) |
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)) |
(pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) |
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) |
| Outputs |
|---|
(* x (sqrt 2)) |
(* (sqrt x) (sqrt 2)) |
(* 2 x) |
(sqrt x) |
(pow (* 1 (pow x 3)) 1/4) |
(* (pow (* 1 x) 1/4) (sqrt 2)) |
(* 2 (sqrt x)) |
(pow (* 1 x) 1/4) |
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) |
(* 2 (sqrt (pow x 3))) |
(* (pow 4 1/4) x) |
(* (pow 4 1/8) x) |
(* -1 (* x (* (sqrt -2) (sqrt -1)))) |
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1)))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (pow -1 1/4) (* (* x (sqrt 2)) (sqrt (sqrt -1))))) |
(exp (* 1/4 (+ (log -1) (* -3 (log (/ -1 x)))))) |
(* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2))) |
(* -2 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (pow -1 1/4) (* (* x (sqrt -2)) (sqrt (sqrt -1))))) |
(exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))) |
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1)))) |
(* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 140.0ms | x | @ | 0 | ((* (sqrt (* x 2)) (sqrt x)) (sqrt (* x 2)) (* x 2) (sqrt x) (* (sqrt 2) x) (sqrt 2) (* (pow x 3/4) (sqrt (* (sqrt x) 2))) (pow x 3/4) (sqrt (* (sqrt x) 2)) (* (sqrt x) 2) (* (pow x 1/4) (sqrt (* (sqrt x) (* x 2)))) (pow x 1/4) (sqrt (* (sqrt x) (* x 2))) (* (sqrt x) (* x 2)) (* (pow 4 1/8) (* (pow 4 1/8) x)) (pow 4 1/8) (* (pow 4 1/8) x)) |
| 88.0ms | x | @ | -inf | ((* (sqrt (* x 2)) (sqrt x)) (sqrt (* x 2)) (* x 2) (sqrt x) (* (sqrt 2) x) (sqrt 2) (* (pow x 3/4) (sqrt (* (sqrt x) 2))) (pow x 3/4) (sqrt (* (sqrt x) 2)) (* (sqrt x) 2) (* (pow x 1/4) (sqrt (* (sqrt x) (* x 2)))) (pow x 1/4) (sqrt (* (sqrt x) (* x 2))) (* (sqrt x) (* x 2)) (* (pow 4 1/8) (* (pow 4 1/8) x)) (pow 4 1/8) (* (pow 4 1/8) x)) |
| 57.0ms | x | @ | inf | ((* (sqrt (* x 2)) (sqrt x)) (sqrt (* x 2)) (* x 2) (sqrt x) (* (sqrt 2) x) (sqrt 2) (* (pow x 3/4) (sqrt (* (sqrt x) 2))) (pow x 3/4) (sqrt (* (sqrt x) 2)) (* (sqrt x) 2) (* (pow x 1/4) (sqrt (* (sqrt x) (* x 2)))) (pow x 1/4) (sqrt (* (sqrt x) (* x 2))) (* (sqrt x) (* x 2)) (* (pow 4 1/8) (* (pow 4 1/8) x)) (pow 4 1/8) (* (pow 4 1/8) x)) |
| 1× | egg-herbie |
Useful iterations: 8 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 70 | 143 |
| 1 | 164 | 143 |
| 2 | 460 | 141 |
| 3 | 1088 | 141 |
| 4 | 1457 | 141 |
| 5 | 1870 | 141 |
| 6 | 2638 | 141 |
| 7 | 4526 | 141 |
| 8 | 5944 | 140 |
| 9 | 7130 | 140 |
| 10 | 7955 | 140 |
| 0 | 8031 | 140 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (sqrt 2)) |
(* (sqrt x) (sqrt 2)) |
(* 2 x) |
(sqrt x) |
(pow (* 1 (pow x 3)) 1/4) |
(* (pow (* 1 x) 1/4) (sqrt 2)) |
(* 2 (sqrt x)) |
(pow (* 1 x) 1/4) |
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) |
(* 2 (sqrt (pow x 3))) |
(* (pow 4 1/4) x) |
(* (pow 4 1/8) x) |
(* -1 (* x (* (sqrt -2) (sqrt -1)))) |
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1)))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (pow -1 1/4) (* (* x (sqrt 2)) (sqrt (sqrt -1))))) |
(exp (* 1/4 (+ (log -1) (* -3 (log (/ -1 x)))))) |
(* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2))) |
(* -2 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (pow -1 1/4) (* (* x (sqrt -2)) (sqrt (sqrt -1))))) |
(exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))) |
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1)))) |
(* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 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) |
(pow (* 1 (pow x 3)) 1/4) |
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/4 binary64)) |
(* (pow (* 1 x) 1/4) (sqrt 2)) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64))) |
(* 2 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal 2 binary64)) |
(pow (* 1 x) 1/4) |
(pow.f64 x #s(literal 1/4 binary64)) |
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64))) |
(* 2 (sqrt (pow x 3))) |
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) |
(* (pow 4 1/4) x) |
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) x) |
(* (pow 4 1/8) x) |
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) 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)))) |
(neg.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64))) (sqrt.f64 x))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* (pow -1 1/4) (* (* x (sqrt 2)) (sqrt (sqrt -1))))) |
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 21/4 binary64)) (*.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))) |
(exp (* 1/4 (+ (log -1) (* -3 (log (/ -1 x)))))) |
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/4 binary64)) |
(* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2))) |
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (neg.f64 x) #s(literal 1/4 binary64))) |
(* -2 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 (sqrt.f64 x) #s(literal 2 binary64)) |
(* -1 (* (pow -1 1/4) (* (* x (sqrt -2)) (sqrt (sqrt -1))))) |
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 21/4 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) x) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))))) |
(exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))) |
(pow.f64 x #s(literal 1/4 binary64)) |
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1)))) |
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -2 binary64))) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -3/4 binary64))) |
(* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))) |
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 87 |
| 0 | 40 | 77 |
| 1 | 84 | 75 |
| 2 | 208 | 65 |
| 3 | 713 | 65 |
| 4 | 4133 | 65 |
| 0 | 8149 | 65 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.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) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(sqrt.f64 #s(literal 2 binary64)) |
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) |
(pow.f64 x #s(literal 3/4 binary64)) |
(sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 x) #s(literal 2 binary64)) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))))) |
(pow.f64 x #s(literal 1/4 binary64)) |
(sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))) |
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)) |
(pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) |
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) |
| Outputs |
|---|
(*.f64 (sqrt.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 3/8 binary64)))) (pow.f64 x #s(literal 1/16 binary64))) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 1/4 binary64)))) (pow.f64 x #s(literal 1/8 binary64))) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 1/8 binary64)))) (pow.f64 x #s(literal 3/16 binary64))) |
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 (pow.f64 x #s(literal 5/4 binary64)) #s(literal 2 binary64)))) (pow.f64 x #s(literal 1/8 binary64))) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (pow.f64 x #s(literal 7/8 binary64)))) (pow.f64 x #s(literal 1/16 binary64))) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (pow.f64 x #s(literal 3/8 binary64)))) (pow.f64 x #s(literal 5/16 binary64))) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (pow.f64 x #s(literal 3/4 binary64)))) (pow.f64 x #s(literal 1/8 binary64))) |
(*.f64 (*.f64 (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 7/64 binary64)) x) (pow.f64 #s(literal 4 binary64) #s(literal 1/64 binary64))) (pow.f64 #s(literal 4 binary64) #s(literal 1/64 binary64))) |
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 15/16 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 1/32 binary64))) (pow.f64 x #s(literal 1/32 binary64))) |
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 5/8 binary64)) (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64))) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3/16 binary64)))) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3/16 binary64)))) |
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 5/8 binary64)) (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64))) (pow.f64 x #s(literal 3/8 binary64))) (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64))) |
(*.f64 (*.f64 (*.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/8 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/8 binary64))) |
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 13/16 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 3/32 binary64))) (pow.f64 x #s(literal 3/32 binary64))) |
(*.f64 (*.f64 (*.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) x) (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))) |
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 7/8 binary64)) (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64))) (pow.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) #s(literal 1/8 binary64))) (pow.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) #s(literal 1/8 binary64))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 1/8 binary64)) (*.f64 (pow.f64 x #s(literal 7/16 binary64)) (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)))) (*.f64 (pow.f64 x #s(literal 7/16 binary64)) (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 3/8 binary64)) (*.f64 (pow.f64 x #s(literal 5/16 binary64)) (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)))) (*.f64 (pow.f64 x #s(literal 5/16 binary64)) (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)))) |
(*.f64 (*.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/8 binary64))) (pow.f64 x #s(literal 5/8 binary64))) |
(*.f64 (pow.f64 x #s(literal 7/16 binary64)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal 1/8 binary64)) (*.f64 #s(literal 2 binary64) x)))) |
(*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 5/64 binary64)) (*.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/32 binary64)) x)) |
(*.f64 (pow.f64 x #s(literal 9/16 binary64)) (*.f64 (pow.f64 x #s(literal 7/16 binary64)) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 7/64 binary64)) (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/64 binary64)) x)) |
(*.f64 (*.f64 (pow.f64 x #s(literal 13/16 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 3/16 binary64))) |
(*.f64 (*.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/32 binary64)) x) (pow.f64 #s(literal 16 binary64) #s(literal 5/64 binary64))) |
(*.f64 (pow.f64 (*.f64 x #s(literal 16 binary64)) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 7/8 binary64))) |
(*.f64 (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 5/64 binary64)) x) (pow.f64 #s(literal 64 binary64) #s(literal 1/32 binary64))) |
(*.f64 (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/64 binary64)) x) (pow.f64 #s(literal 16 binary64) #s(literal 7/64 binary64))) |
(*.f64 (*.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64))) |
(*.f64 (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 7/64 binary64)) x) (pow.f64 #s(literal 16 binary64) #s(literal 1/64 binary64))) |
(*.f64 (pow.f64 x #s(literal 7/8 binary64)) (pow.f64 (*.f64 x #s(literal 16 binary64)) #s(literal 1/8 binary64))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 7/16 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 9/16 binary64))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 15/16 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 1/16 binary64))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 5/8 binary64)) (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64))) (*.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) (pow.f64 x #s(literal 3/8 binary64)))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 7/8 binary64)) (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64))) (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64))) |
(*.f64 (pow.f64 x #s(literal 5/8 binary64)) (*.f64 (pow.f64 x #s(literal 3/8 binary64)) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 3/8 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 5/8 binary64))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 5/8 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 3/8 binary64))) |
(*.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/32 binary64)) (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 5/64 binary64)) x)) |
(*.f64 (*.f64 (pow.f64 x #s(literal 5/16 binary64)) (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64))) (*.f64 (*.f64 (pow.f64 x #s(literal 5/16 binary64)) (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64))) (pow.f64 x #s(literal 3/8 binary64)))) |
(*.f64 (*.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) (sqrt.f64 x)) (*.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) (sqrt.f64 x))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 7/16 binary64)) (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64))) (*.f64 (*.f64 (pow.f64 x #s(literal 7/16 binary64)) (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64))) (pow.f64 x #s(literal 1/8 binary64)))) |
(*.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3/16 binary64))) (*.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3/16 binary64))) (*.f64 (pow.f64 x #s(literal 5/8 binary64)) (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64))))) |
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/64 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/64 binary64)) (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 7/64 binary64)) x))) |
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) (pow.f64 x #s(literal 3/4 binary64))))) |
(*.f64 (pow.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) #s(literal 1/8 binary64)) (*.f64 (pow.f64 x #s(literal 7/8 binary64)) (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64))))) |
(*.f64 (pow.f64 x #s(literal 3/32 binary64)) (*.f64 (pow.f64 x #s(literal 3/32 binary64)) (*.f64 (pow.f64 x #s(literal 13/16 binary64)) (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) x))) |
(*.f64 (pow.f64 x #s(literal 1/32 binary64)) (*.f64 (pow.f64 x #s(literal 1/32 binary64)) (*.f64 (pow.f64 x #s(literal 15/16 binary64)) (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)) (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) x)) |
(*.f64 (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) x) (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 7/8 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 1/8 binary64))) |
(*.f64 (*.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)) x) (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64))) |
(*.f64 (pow.f64 x #s(literal 3/16 binary64)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal 1/8 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))))) |
(*.f64 (pow.f64 x #s(literal 3/16 binary64)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal 5/8 binary64)) (*.f64 #s(literal 2 binary64) x)))) |
(*.f64 (pow.f64 x #s(literal 3/16 binary64)) (*.f64 (pow.f64 x #s(literal 13/16 binary64)) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (pow.f64 x #s(literal 1/16 binary64)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal 3/8 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))))) |
(*.f64 (pow.f64 x #s(literal 1/16 binary64)) (*.f64 (pow.f64 x #s(literal 15/16 binary64)) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/64 binary64)) (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 7/64 binary64)) x)) |
(*.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)) (*.f64 (pow.f64 x #s(literal 7/8 binary64)) (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)))) |
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)) (*.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) (pow.f64 x #s(literal 3/4 binary64)))) |
(*.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) (*.f64 (pow.f64 x #s(literal 1/8 binary64)) (*.f64 (pow.f64 x #s(literal 7/8 binary64)) (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64))))) |
(*.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) (*.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) x)) |
(*.f64 (*.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) (pow.f64 x #s(literal 3/8 binary64))) (*.f64 (pow.f64 x #s(literal 5/8 binary64)) (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)))) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (sqrt.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 5/4 binary64)) #s(literal 2 binary64)) (sqrt.f64 x)))) |
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))))) |
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (*.f64 #s(literal 2 binary64) x)))) |
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(*.f64 (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))) |
(*.f64 (*.f64 (*.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/32 binary64)) x) (pow.f64 #s(literal 4 binary64) #s(literal 1/64 binary64))) (pow.f64 #s(literal 4 binary64) #s(literal 1/64 binary64))) |
(*.f64 (*.f64 (sqrt.f64 x) (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))) (*.f64 (sqrt.f64 x) (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)))) |
(*.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x))) |
(*.f64 (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) (sqrt.f64 x)) (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) (sqrt.f64 x))) |
(*.f64 (*.f64 (sqrt.f64 x) (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64))) (*.f64 (sqrt.f64 x) (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)))) |
(*.f64 (*.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/32 binary64)) x) (pow.f64 #s(literal 16 binary64) #s(literal 1/64 binary64))) |
(*.f64 (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/64 binary64)) x) (pow.f64 #s(literal 64 binary64) #s(literal 1/32 binary64))) |
(*.f64 (*.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 x #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 x #s(literal 7/8 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 7/8 binary64)) (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64))) (pow.f64 x #s(literal 1/8 binary64))) |
(*.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/32 binary64)) (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/64 binary64)) x)) |
(*.f64 (*.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) (sqrt.f64 x)) (sqrt.f64 x)) |
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/64 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/64 binary64)) (*.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/32 binary64)) x))) |
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) x)) |
(*.f64 (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) x) (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64))) |
(*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/64 binary64)) (*.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/32 binary64)) x)) |
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3/4 binary64))) |
(*.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) x) |
(*.f64 (*.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) (pow.f64 x #s(literal 3/8 binary64))) (pow.f64 x #s(literal 5/8 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) (pow.f64 x #s(literal 3/4 binary64)))) |
(*.f64 (pow.f64 x #s(literal 3/8 binary64)) (*.f64 (pow.f64 x #s(literal 5/8 binary64)) (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)))) |
(*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) x)) |
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 x) (*.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) (sqrt.f64 x))) |
(*.f64 x (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64))) |
(pow.f64 (*.f64 (sqrt.f64 x) (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) (sqrt.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (sqrt.f64 x) (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64))) #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) (sqrt.f64 x))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 x) (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)))) #s(literal 2 binary64))) |
Compiled 11 299 to 2 276 computations (79.9% saved)
7 alts after pruning (3 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 813 | 3 | 816 |
| Fresh | 2 | 0 | 2 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 1 | 1 |
| Total | 817 | 7 | 824 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.1% | (*.f64 (pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64)) x) |
| ✓ | 99.5% | (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) |
| ▶ | 99.6% | (*.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)) (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) x)) |
| ✓ | 99.5% | (*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x)) |
| ▶ | 66.6% | (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))))) |
| ✓ | 99.3% | (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
| ✓ | 54.4% | (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
Compiled 53 to 47 computations (11.3% saved)
| 1× | egg-herbie |
Found 11 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) | |
| cost-diff | 0 | (*.f64 (pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64)) x) | |
| cost-diff | 6464 | (pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64)) | |
| cost-diff | 0 | (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) | |
| cost-diff | 0 | (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) x) | |
| cost-diff | 0 | (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)) | |
| cost-diff | 0 | (*.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)) (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) x)) | |
| cost-diff | 0 | (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64)))) | |
| cost-diff | 0 | (sqrt.f64 x) | |
| cost-diff | 0 | (sqrt.f64 (sqrt.f64 x)) | |
| cost-diff | 0 | (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 78 |
| 0 | 33 | 78 |
| 1 | 44 | 74 |
| 2 | 64 | 74 |
| 3 | 70 | 74 |
| 0 | 70 | 74 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))))) |
(sqrt.f64 (sqrt.f64 x)) |
(sqrt.f64 x) |
x |
(sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))) |
(*.f64 x #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(*.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)) (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) x)) |
(pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)) |
#s(literal 64 binary64) |
#s(literal 1/16 binary64) |
(*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) x) |
(pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) |
#s(literal 16 binary64) |
#s(literal 1/32 binary64) |
x |
(*.f64 (pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64)) x) |
(pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64)) |
(pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) |
#s(literal 256 binary64) |
#s(literal 1/32 binary64) |
#s(literal 2 binary64) |
x |
| Outputs |
|---|
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))))) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) x)) (sqrt.f64 (sqrt.f64 x))) |
(sqrt.f64 (sqrt.f64 x)) |
(sqrt.f64 x) |
x |
(sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64)))) |
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) x)) |
(*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))) |
(*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) x) |
(*.f64 x #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
(*.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)) (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) x)) |
(*.f64 (*.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)) x) (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64))) |
(pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)) |
#s(literal 64 binary64) |
#s(literal 1/16 binary64) |
(*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) x) |
(pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) |
#s(literal 16 binary64) |
#s(literal 1/32 binary64) |
x |
(*.f64 (pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64)) x) |
(*.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/16 binary64)) x) |
(pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64)) |
(pow.f64 #s(literal 256 binary64) #s(literal 1/16 binary64)) |
(pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) |
#s(literal 256 binary64) |
#s(literal 1/32 binary64) |
#s(literal 2 binary64) |
x |
Found 11 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) | |
| accuracy | 0.41796875 | (*.f64 (pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64)) x) | |
| accuracy | 1.0 | (pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64)) | |
| accuracy | 0.0 | (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)) | |
| accuracy | 0.0 | (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) | |
| accuracy | 0.234375 | (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) x) | |
| accuracy | 0.2734375 | (*.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)) (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) x)) | |
| accuracy | 0.1328125 | (sqrt.f64 (sqrt.f64 x)) | |
| accuracy | 0.14453125 | (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))) | |
| accuracy | 0.28125 | (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))))) | |
| accuracy | 21.80453512555968 | (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64)))) |
| 40.0ms | 256× | 0 | valid |
Compiled 158 to 42 computations (73.4% saved)
ival-pow: 9.0ms (30.9% of total)ival-mult: 8.0ms (27.5% of total)ival-sqrt: 6.0ms (20.6% of total)ival-pow2: 5.0ms (17.2% of total)exact: 1.0ms (3.4% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))))) |
(sqrt.f64 (sqrt.f64 x)) |
(sqrt.f64 x) |
(sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64)))) |
(*.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)) (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) x)) |
(pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)) |
(*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) x) |
(pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) |
(pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64)) |
(*.f64 (pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64)) x) |
(pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) |
(*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))) |
| Outputs |
|---|
(* x (sqrt 2)) |
(pow (* 1 x) 1/4) |
(sqrt x) |
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) |
(* (pow 16 1/32) (* (pow 64 1/16) x)) |
(* (pow 16 1/32) x) |
(* (pow 256 1/16) x) |
(* 2 (sqrt (pow x 3))) |
(* -1 (* x (* (sqrt -2) (sqrt -1)))) |
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1)))) |
(* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 120.0ms | x | @ | 0 | ((* (sqrt (sqrt x)) (sqrt (* (sqrt x) (* x 2)))) (sqrt (sqrt x)) (sqrt x) (sqrt (* (sqrt x) (* x 2))) (* (pow 64 1/16) (* (pow 16 1/32) x)) (pow 64 1/16) (* (pow 16 1/32) x) (pow 16 1/32) (pow (pow 256 1/32) 2) (* (pow (pow 256 1/32) 2) x) (pow 256 1/32) (* (sqrt x) (* x 2))) |
| 42.0ms | x | @ | inf | ((* (sqrt (sqrt x)) (sqrt (* (sqrt x) (* x 2)))) (sqrt (sqrt x)) (sqrt x) (sqrt (* (sqrt x) (* x 2))) (* (pow 64 1/16) (* (pow 16 1/32) x)) (pow 64 1/16) (* (pow 16 1/32) x) (pow 16 1/32) (pow (pow 256 1/32) 2) (* (pow (pow 256 1/32) 2) x) (pow 256 1/32) (* (sqrt x) (* x 2))) |
| 41.0ms | x | @ | -inf | ((* (sqrt (sqrt x)) (sqrt (* (sqrt x) (* x 2)))) (sqrt (sqrt x)) (sqrt x) (sqrt (* (sqrt x) (* x 2))) (* (pow 64 1/16) (* (pow 16 1/32) x)) (pow 64 1/16) (* (pow 16 1/32) x) (pow 16 1/32) (pow (pow 256 1/32) 2) (* (pow (pow 256 1/32) 2) x) (pow 256 1/32) (* (sqrt x) (* x 2))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 79 |
| 1 | 92 | 79 |
| 2 | 229 | 79 |
| 3 | 366 | 79 |
| 4 | 510 | 79 |
| 5 | 652 | 79 |
| 6 | 827 | 79 |
| 7 | 1236 | 79 |
| 8 | 1508 | 79 |
| 9 | 1575 | 79 |
| 10 | 1805 | 79 |
| 11 | 2077 | 79 |
| 12 | 2139 | 79 |
| 13 | 2195 | 79 |
| 14 | 2287 | 79 |
| 15 | 2399 | 79 |
| 16 | 2415 | 79 |
| 17 | 2419 | 79 |
| 18 | 2425 | 79 |
| 19 | 2429 | 79 |
| 20 | 2429 | 79 |
| 21 | 2485 | 79 |
| 22 | 2740 | 79 |
| 0 | 2740 | 79 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(* x (sqrt 2)) |
(pow (* 1 x) 1/4) |
(sqrt x) |
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) |
(* (pow 16 1/32) (* (pow 64 1/16) x)) |
(* (pow 16 1/32) x) |
(* (pow 256 1/16) x) |
(* 2 (sqrt (pow x 3))) |
(* -1 (* x (* (sqrt -2) (sqrt -1)))) |
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1)))) |
(* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))) |
| Outputs |
|---|
(* x (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(pow (* 1 x) 1/4) |
(pow.f64 x #s(literal 1/4 binary64)) |
(sqrt x) |
(sqrt.f64 x) |
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64))) |
(* (pow 16 1/32) (* (pow 64 1/16) x)) |
(*.f64 (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) x) (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64))) |
(* (pow 16 1/32) x) |
(*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) x) |
(* (pow 256 1/16) x) |
(*.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/16 binary64)) x) |
(* 2 (sqrt (pow x 3))) |
(*.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) |
(* -1 (* x (* (sqrt -2) (sqrt -1)))) |
(*.f64 (neg.f64 x) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64)))) |
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1))) |
(*.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (neg.f64 x) #s(literal 1/4 binary64))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1)))) |
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -2 binary64))) (pow.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal 1/4 binary64))) |
(* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))) |
(*.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 64 |
| 0 | 33 | 55 |
| 1 | 79 | 50 |
| 2 | 234 | 47 |
| 3 | 826 | 33 |
| 4 | 5023 | 33 |
| 0 | 8659 | 33 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))))) |
(sqrt.f64 (sqrt.f64 x)) |
(sqrt.f64 x) |
(sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64)))) |
(*.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)) (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) x)) |
(pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)) |
(*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) x) |
(pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) |
(pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64)) |
(*.f64 (pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64)) x) |
(pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) |
(*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))) |
| Outputs |
|---|
(*.f64 (sqrt.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 7/4 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 1/8 binary64)))) (pow.f64 x #s(literal 1/16 binary64))) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 3/8 binary64)))) (pow.f64 x #s(literal 1/16 binary64))) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 1/8 binary64)))) (pow.f64 x #s(literal 3/16 binary64))) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal 3/4 binary64)))) (pow.f64 x #s(literal 3/8 binary64))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 1/8 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 7/8 binary64))) |
(*.f64 (*.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/8 binary64))) (pow.f64 x #s(literal 5/8 binary64))) |
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(pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/512 binary64)) (sqrt.f64 x))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) (pow.f64 #s(literal 65536 binary64) #s(literal 1/512 binary64)))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 1 binary64))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/512 binary64)) (sqrt.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (sqrt.f64 x) (pow.f64 #s(literal 65536 binary64) #s(literal 1/512 binary64))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(sqrt.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x))) |
(sqrt.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (+.f64 #s(literal 0 binary64) (log.f64 x)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (+.f64 (log.f64 x) #s(literal 0 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/512 binary64)) (sqrt.f64 x))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 x) (pow.f64 #s(literal 65536 binary64) #s(literal 1/512 binary64)))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 x) #s(literal 1 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64))) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) |
(exp.f64 (+.f64 #s(literal 0 binary64) (log.f64 x))) |
(exp.f64 (+.f64 (log.f64 x) #s(literal 0 binary64))) |
#s(literal 1 binary64) |
#s(literal 1 binary64) |
(*.f64 (*.f64 (*.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/512 binary64)) x) (pow.f64 #s(literal 256 binary64) #s(literal 1/512 binary64))) (pow.f64 #s(literal 256 binary64) #s(literal 1/512 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 x #s(literal 1/4 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 3/4 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal 1 binary64) x) (pow.f64 #s(literal 256 binary64) #s(literal 1/512 binary64))) (pow.f64 #s(literal 256 binary64) #s(literal 1/512 binary64))) |
(*.f64 (*.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/512 binary64)) (sqrt.f64 x)) (*.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/512 binary64)) (sqrt.f64 x))) |
(*.f64 (*.f64 (sqrt.f64 x) (pow.f64 #s(literal 65536 binary64) #s(literal 1/512 binary64))) (*.f64 (sqrt.f64 x) (pow.f64 #s(literal 65536 binary64) #s(literal 1/512 binary64)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
(*.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) |
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 1 binary64))) |
(*.f64 (*.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/512 binary64)) x) (pow.f64 #s(literal 65536 binary64) #s(literal 1/512 binary64))) |
(*.f64 (*.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/512 binary64)) x) #s(literal 1 binary64)) |
(*.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/512 binary64)) (*.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/512 binary64)) (*.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/512 binary64)) x))) |
(*.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/512 binary64)) (*.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/512 binary64)) (*.f64 #s(literal 1 binary64) x))) |
(*.f64 (*.f64 #s(literal 1 binary64) x) (pow.f64 #s(literal 65536 binary64) #s(literal 1/512 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(*.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/512 binary64)) (*.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/512 binary64)) x)) |
(*.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/512 binary64)) (*.f64 #s(literal 1 binary64) x)) |
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64))) |
(*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/512 binary64)) x)) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) x)) |
(*.f64 #s(literal 1 binary64) x) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal 1 binary64))) |
(*.f64 x #s(literal 1 binary64)) |
(pow.f64 (*.f64 (*.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/512 binary64)) (sqrt.f64 x)) (pow.f64 #s(literal 256 binary64) #s(literal 1/512 binary64))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (*.f64 (sqrt.f64 x) (pow.f64 #s(literal 65536 binary64) #s(literal 1/512 binary64))) (pow.f64 #s(literal 256 binary64) #s(literal 1/512 binary64))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 x)) (pow.f64 #s(literal 256 binary64) #s(literal 1/512 binary64))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) (pow.f64 #s(literal 256 binary64) #s(literal 1/512 binary64))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (*.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/512 binary64)) (sqrt.f64 x)) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (*.f64 (sqrt.f64 x) (pow.f64 #s(literal 65536 binary64) #s(literal 1/512 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/512 binary64)) (*.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/512 binary64)) (sqrt.f64 x))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/512 binary64)) (*.f64 (sqrt.f64 x) (pow.f64 #s(literal 65536 binary64) #s(literal 1/512 binary64)))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/512 binary64)) (*.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/512 binary64)) (*.f64 (sqrt.f64 x) #s(literal 1 binary64))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/512 binary64)) (sqrt.f64 x))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) (pow.f64 #s(literal 65536 binary64) #s(literal 1/512 binary64)))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 1 binary64))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/512 binary64)) (sqrt.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (sqrt.f64 x) (pow.f64 #s(literal 65536 binary64) #s(literal 1/512 binary64))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(sqrt.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x))) |
(sqrt.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (+.f64 #s(literal 0 binary64) (log.f64 x)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (+.f64 (log.f64 x) #s(literal 0 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 #s(literal 65536 binary64) #s(literal 1/512 binary64)) (sqrt.f64 x))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 x) (pow.f64 #s(literal 65536 binary64) #s(literal 1/512 binary64)))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 x) #s(literal 1 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64))) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) |
(exp.f64 (+.f64 #s(literal 0 binary64) (log.f64 x))) |
(exp.f64 (+.f64 (log.f64 x) #s(literal 0 binary64))) |
#s(literal 1 binary64) |
(*.f64 (exp.f64 (fma.f64 #s(literal 5/4 binary64) (log.f64 x) (log.f64 #s(literal 2 binary64)))) (pow.f64 x #s(literal 1/4 binary64))) |
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 5/4 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 1/8 binary64))) (pow.f64 x #s(literal 1/8 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (pow.f64 x #s(literal 3/8 binary64))) (pow.f64 x #s(literal 1/8 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (pow.f64 x #s(literal 1/8 binary64))) (pow.f64 x #s(literal 3/8 binary64))) |
(*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 x #s(literal 3/4 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 x #s(literal 1/4 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 3/4 binary64))) |
(*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 5/4 binary64))) |
(*.f64 (pow.f64 x #s(literal 5/4 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 1/4 binary64)))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 5/4 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 x #s(literal 3/8 binary64)) (*.f64 (pow.f64 x #s(literal 1/8 binary64)) (*.f64 #s(literal 2 binary64) x))) |
(*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) x) |
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (*.f64 (pow.f64 x #s(literal 1/8 binary64)) (*.f64 (pow.f64 x #s(literal 5/4 binary64)) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (*.f64 (pow.f64 x #s(literal 3/8 binary64)) (*.f64 #s(literal 2 binary64) x))) |
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (*.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))) |
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) |
(*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 x)) |
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (exp.f64 (fma.f64 #s(literal 5/4 binary64) (log.f64 x) (log.f64 #s(literal 2 binary64))))) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 5/4 binary64)) #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 2 binary64) x)) |
(*.f64 x (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) |
(exp.f64 (fma.f64 #s(literal 3/2 binary64) (log.f64 x) (log.f64 #s(literal 2 binary64)))) |
Compiled 4 406 to 931 computations (78.9% saved)
9 alts after pruning (3 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 326 | 3 | 329 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 2 | 3 |
| Done | 0 | 4 | 4 |
| Total | 327 | 9 | 336 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.1% | (*.f64 (pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64)) x) |
| ✓ | 99.5% | (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) |
| ✓ | 99.5% | (*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x)) |
| ▶ | 99.2% | (*.f64 (sqrt.f64 (sqrt.f64 x)) (*.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64)) (sqrt.f64 x))) |
| ▶ | 99.2% | (*.f64 (sqrt.f64 (sqrt.f64 x)) (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))) |
| ✓ | 66.6% | (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))))) |
| ✓ | 99.3% | (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
| ▶ | 20.3% | (*.f64 x #s(literal 1 binary64)) |
| ✓ | 54.4% | (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
Compiled 69 to 59 computations (14.5% saved)
| 1× | egg-herbie |
Found 9 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64)) (sqrt.f64 x)) | |
| cost-diff | 0 | (sqrt.f64 x) | |
| cost-diff | 0 | (sqrt.f64 (sqrt.f64 x)) | |
| cost-diff | 0 | (*.f64 (sqrt.f64 (sqrt.f64 x)) (*.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64)) (sqrt.f64 x))) | |
| cost-diff | 0 | (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 #s(literal 2 binary64))) | |
| cost-diff | 0 | (sqrt.f64 x) | |
| cost-diff | 0 | (sqrt.f64 (sqrt.f64 x)) | |
| cost-diff | 0 | (*.f64 (sqrt.f64 (sqrt.f64 x)) (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))) | |
| cost-diff | 320 | (*.f64 x #s(literal 1 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 70 |
| 0 | 28 | 68 |
| 1 | 40 | 68 |
| 2 | 59 | 68 |
| 3 | 63 | 68 |
| 0 | 63 | 68 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(*.f64 (sqrt.f64 (sqrt.f64 x)) (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))) |
(sqrt.f64 (sqrt.f64 x)) |
(sqrt.f64 x) |
x |
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 #s(literal 2 binary64))) |
(pow.f64 x #s(literal 3/4 binary64)) |
#s(literal 3/4 binary64) |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(*.f64 (sqrt.f64 (sqrt.f64 x)) (*.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64)) (sqrt.f64 x))) |
(sqrt.f64 (sqrt.f64 x)) |
(sqrt.f64 x) |
x |
(*.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64)) (sqrt.f64 x)) |
(pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64)) |
(*.f64 #s(literal 4 binary64) x) |
#s(literal 4 binary64) |
#s(literal 1/4 binary64) |
| Outputs |
|---|
(*.f64 x #s(literal 1 binary64)) |
x |
x |
#s(literal 1 binary64) |
(*.f64 (sqrt.f64 (sqrt.f64 x)) (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (sqrt.f64 x))) (pow.f64 x #s(literal 3/4 binary64))) |
(sqrt.f64 (sqrt.f64 x)) |
(sqrt.f64 x) |
x |
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 3/4 binary64))) |
(pow.f64 x #s(literal 3/4 binary64)) |
#s(literal 3/4 binary64) |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(*.f64 (sqrt.f64 (sqrt.f64 x)) (*.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64)) (sqrt.f64 x))) |
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x)) (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64))) |
(sqrt.f64 (sqrt.f64 x)) |
(sqrt.f64 x) |
x |
(*.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64)) (sqrt.f64 x)) |
(pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64)) |
(*.f64 #s(literal 4 binary64) x) |
#s(literal 4 binary64) |
#s(literal 1/4 binary64) |
Found 9 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.00390625 | (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64)) | |
| accuracy | 0.1328125 | (sqrt.f64 (sqrt.f64 x)) | |
| accuracy | 0.28125 | (*.f64 (sqrt.f64 (sqrt.f64 x)) (*.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64)) (sqrt.f64 x))) | |
| accuracy | 0.359375 | (*.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64)) (sqrt.f64 x)) | |
| accuracy | 0.0 | (sqrt.f64 #s(literal 2 binary64)) | |
| accuracy | 0.1328125 | (sqrt.f64 (sqrt.f64 x)) | |
| accuracy | 0.28125 | (*.f64 (sqrt.f64 (sqrt.f64 x)) (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))) | |
| accuracy | 0.41244125976844204 | (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 #s(literal 2 binary64))) | |
| accuracy | 0.0 | (*.f64 x #s(literal 1 binary64)) |
| 36.0ms | 256× | 0 | valid |
Compiled 142 to 36 computations (74.6% saved)
ival-pow: 10.0ms (40.9% of total)ival-mult: 9.0ms (36.8% of total)ival-sqrt: 5.0ms (20.5% of total)exact: 1.0ms (4.1% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 x #s(literal 1 binary64)) |
(*.f64 (sqrt.f64 (sqrt.f64 x)) (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))) |
(sqrt.f64 (sqrt.f64 x)) |
(sqrt.f64 x) |
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 (sqrt.f64 x)) (*.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64)) (sqrt.f64 x))) |
(*.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64)) (sqrt.f64 x)) |
(sqrt.f64 #s(literal 2 binary64)) |
(pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64)) |
| Outputs |
|---|
x |
(* x (sqrt 2)) |
(pow (* 1 x) 1/4) |
(sqrt x) |
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) |
(* (pow 4 1/4) x) |
(exp (* 1/4 (+ (log 4) (* 3 (log x))))) |
(exp (* 1/4 (+ (log 4) (log x)))) |
(exp (* 1/4 (+ (log 4) (* -3 (log (/ 1 x)))))) |
(exp (* 1/4 (+ (log 4) (* -1 (log (/ 1 x)))))) |
(* -1 (* (pow -1 1/4) (* (* x (sqrt 2)) (sqrt (sqrt -1))))) |
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* (exp (* 1/4 (+ (log -1) (* -3 (log (/ -1 x)))))) (sqrt 2)) |
(* -1 (* (pow -4 1/4) (* x (sqrt (pow (sqrt -1) 3))))) |
(* (exp (* 1/4 (+ (log -4) (* -3 (log (/ -1 x)))))) (sqrt -1)) |
(exp (* 1/4 (+ (log -4) (* -1 (log (/ -1 x)))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 87.0ms | x | @ | -inf | ((* x 1) (* (sqrt (sqrt x)) (* (pow x 3/4) (sqrt 2))) (sqrt (sqrt x)) (sqrt x) (* (pow x 3/4) (sqrt 2)) (* (sqrt (sqrt x)) (* (pow (* 4 x) 1/4) (sqrt x))) (* (pow (* 4 x) 1/4) (sqrt x)) (sqrt 2) (pow (* 4 x) 1/4)) |
| 40.0ms | x | @ | 0 | ((* x 1) (* (sqrt (sqrt x)) (* (pow x 3/4) (sqrt 2))) (sqrt (sqrt x)) (sqrt x) (* (pow x 3/4) (sqrt 2)) (* (sqrt (sqrt x)) (* (pow (* 4 x) 1/4) (sqrt x))) (* (pow (* 4 x) 1/4) (sqrt x)) (sqrt 2) (pow (* 4 x) 1/4)) |
| 40.0ms | x | @ | inf | ((* x 1) (* (sqrt (sqrt x)) (* (pow x 3/4) (sqrt 2))) (sqrt (sqrt x)) (sqrt x) (* (pow x 3/4) (sqrt 2)) (* (sqrt (sqrt x)) (* (pow (* 4 x) 1/4) (sqrt x))) (* (pow (* 4 x) 1/4) (sqrt x)) (sqrt 2) (pow (* 4 x) 1/4)) |
| 1× | egg-herbie |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 74 | 132 |
| 1 | 179 | 132 |
| 2 | 445 | 115 |
| 3 | 981 | 107 |
| 4 | 1379 | 106 |
| 5 | 1815 | 106 |
| 6 | 2723 | 106 |
| 7 | 3886 | 106 |
| 8 | 6009 | 106 |
| 0 | 8128 | 106 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(* x (sqrt 2)) |
(pow (* 1 x) 1/4) |
(sqrt x) |
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) |
(* (pow 4 1/4) x) |
(exp (* 1/4 (+ (log 4) (* 3 (log x))))) |
(exp (* 1/4 (+ (log 4) (log x)))) |
(exp (* 1/4 (+ (log 4) (* -3 (log (/ 1 x)))))) |
(exp (* 1/4 (+ (log 4) (* -1 (log (/ 1 x)))))) |
(* -1 (* (pow -1 1/4) (* (* x (sqrt 2)) (sqrt (sqrt -1))))) |
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* (exp (* 1/4 (+ (log -1) (* -3 (log (/ -1 x)))))) (sqrt 2)) |
(* -1 (* (pow -4 1/4) (* x (sqrt (pow (sqrt -1) 3))))) |
(* (exp (* 1/4 (+ (log -4) (* -3 (log (/ -1 x)))))) (sqrt -1)) |
(exp (* 1/4 (+ (log -4) (* -1 (log (/ -1 x)))))) |
| Outputs |
|---|
x |
(* x (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(pow (* 1 x) 1/4) |
(pow.f64 x #s(literal 1/4 binary64)) |
(sqrt x) |
(sqrt.f64 x) |
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) |
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 #s(literal 2 binary64))) |
(* (pow 4 1/4) x) |
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) x) |
(exp (* 1/4 (+ (log 4) (* 3 (log x))))) |
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))) |
(exp (* 1/4 (+ (log 4) (log x)))) |
(pow.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/4 binary64)) |
(exp (* 1/4 (+ (log 4) (* -3 (log (/ 1 x)))))) |
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))) |
(exp (* 1/4 (+ (log 4) (* -1 (log (/ 1 x)))))) |
(pow.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/4 binary64)) |
(* -1 (* (pow -1 1/4) (* (* x (sqrt 2)) (sqrt (sqrt -1))))) |
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 5/4 binary64)) (*.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))) |
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1))) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64)))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* (exp (* 1/4 (+ (log -1) (* -3 (log (/ -1 x)))))) (sqrt 2)) |
(*.f64 (pow.f64 (neg.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -3 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64))) |
(* -1 (* (pow -4 1/4) (* x (sqrt (pow (sqrt -1) 3))))) |
(*.f64 (*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (pow.f64 #s(literal -4 binary64) #s(literal 1/4 binary64))) (neg.f64 x)) |
(* (exp (* 1/4 (+ (log -4) (* -3 (log (/ -1 x)))))) (sqrt -1)) |
(*.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -3/4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 #s(literal -4 binary64) #s(literal 1/4 binary64))) |
(exp (* 1/4 (+ (log -4) (* -1 (log (/ -1 x)))))) |
(pow.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/4 binary64)) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 51 |
| 0 | 28 | 45 |
| 1 | 61 | 45 |
| 2 | 170 | 37 |
| 3 | 755 | 33 |
| 4 | 2905 | 33 |
| 0 | 8680 | 33 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 x #s(literal 1 binary64)) |
(*.f64 (sqrt.f64 (sqrt.f64 x)) (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))) |
(sqrt.f64 (sqrt.f64 x)) |
(sqrt.f64 x) |
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 (sqrt.f64 x)) (*.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64)) (sqrt.f64 x))) |
(*.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64)) (sqrt.f64 x)) |
(sqrt.f64 #s(literal 2 binary64)) |
(pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64)) |
| Outputs |
|---|
(*.f64 (pow.f64 (pow.f64 x #s(literal 13/16 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3/16 binary64))) |
(*.f64 (pow.f64 x #s(literal 13/16 binary64)) (pow.f64 x #s(literal 3/16 binary64))) |
(*.f64 (pow.f64 x #s(literal 7/8 binary64)) (pow.f64 x #s(literal 1/8 binary64))) |
(*.f64 (pow.f64 x #s(literal 5/8 binary64)) (pow.f64 x #s(literal 3/8 binary64))) |
(*.f64 (pow.f64 x #s(literal 3/16 binary64)) (pow.f64 (pow.f64 x #s(literal 13/16 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 x #s(literal 3/16 binary64)) (pow.f64 x #s(literal 13/16 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (pow.f64 x #s(literal 7/8 binary64))) |
(*.f64 (pow.f64 x #s(literal 3/8 binary64)) (pow.f64 x #s(literal 5/8 binary64))) |
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3/4 binary64))) |
(*.f64 (sqrt.f64 x) (sqrt.f64 x)) |
(*.f64 #s(literal 1 binary64) x) |
(*.f64 x #s(literal 1 binary64)) |
(pow.f64 (exp.f64 (neg.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (pow.f64 (neg.f64 (log.f64 x)) #s(literal -1 binary64))) |
(pow.f64 (exp.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64))) (pow.f64 (log.f64 x) #s(literal -1 binary64))) |
(pow.f64 (exp.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64))) (pow.f64 (log.f64 x) #s(literal -2 binary64))) |
(pow.f64 (*.f64 (pow.f64 x #s(literal 5/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) #s(literal 1/4 binary64)) |
(pow.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 5/2 binary64))) #s(literal 1/4 binary64)) |
(pow.f64 (*.f64 (exp.f64 #s(literal 3/4 binary64)) (exp.f64 #s(literal 1/4 binary64))) (log.f64 x)) |
(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1/4 binary64)) |
(pow.f64 (*.f64 x (pow.f64 x #s(literal 3 binary64))) #s(literal 1/4 binary64)) |
(pow.f64 (*.f64 (exp.f64 #s(literal 1/4 binary64)) (exp.f64 #s(literal 3/4 binary64))) (log.f64 x)) |
(pow.f64 (*.f64 (exp.f64 #s(literal 1/2 binary64)) (exp.f64 #s(literal 1/2 binary64))) (log.f64 x)) |
(pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/8 binary64)) |
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 4 binary64))) |
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (*.f64 (log.f64 x) #s(literal 4 binary64))) |
(pow.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 x #s(literal 1/8 binary64)) #s(literal 8 binary64)) |
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 4 binary64)) |
(pow.f64 (sqrt.f64 x) #s(literal 2 binary64)) |
(pow.f64 x #s(literal 1 binary64)) |
(/.f64 (exp.f64 (/.f64 #s(literal 0 binary64) (log.f64 x))) (exp.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (neg.f64 (log.f64 x))))) |
(/.f64 x (exp.f64 (/.f64 #s(literal 0 binary64) (log.f64 x)))) |
(/.f64 x #s(literal 1 binary64)) |
(sqrt.f64 (*.f64 x x)) |
(fabs.f64 x) |
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1/4 binary64)) #s(literal 4 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 2 binary64))) |
(exp.f64 (log.f64 x)) |
x |
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3/16 binary64)) (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64))) (pow.f64 x #s(literal 5/16 binary64))) (*.f64 (*.f64 (pow.f64 x #s(literal 3/16 binary64)) (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64))) (pow.f64 x #s(literal 5/16 binary64)))) |
(*.f64 (*.f64 (*.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/16 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (*.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/16 binary64)) (pow.f64 x #s(literal 1/8 binary64)))) (*.f64 (*.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/16 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (*.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/16 binary64)) (pow.f64 x #s(literal 1/8 binary64))))) |
(*.f64 (*.f64 (*.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/16 binary64)) (pow.f64 x #s(literal 1/8 binary64))) (*.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/16 binary64)) (pow.f64 x #s(literal 1/4 binary64)))) (*.f64 (*.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/16 binary64)) (pow.f64 x #s(literal 1/8 binary64))) (*.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/16 binary64)) (pow.f64 x #s(literal 1/4 binary64))))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 5/16 binary64)) (*.f64 (pow.f64 x #s(literal 3/16 binary64)) (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)))) (*.f64 (pow.f64 x #s(literal 5/16 binary64)) (*.f64 (pow.f64 x #s(literal 3/16 binary64)) (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64))))) |
(*.f64 (*.f64 (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) x) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (*.f64 (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) x) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) x) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) x) #s(literal 1/4 binary64))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) x) #s(literal 1/8 binary64))) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) x) #s(literal 1/8 binary64)))) |
(*.f64 (pow.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))) #s(literal 1/4 binary64)) (pow.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))) #s(literal 1/4 binary64))) |
(*.f64 (*.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3/8 binary64))) (*.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3/8 binary64)))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 3/8 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64))) (*.f64 (pow.f64 x #s(literal 3/8 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)))) |
(*.f64 (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)) x) (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 3/8 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64))) (pow.f64 x #s(literal 3/8 binary64))) |
(*.f64 (*.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64))) |
(*.f64 (*.f64 (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)) (pow.f64 x #s(literal 3/8 binary64))) (pow.f64 x #s(literal 1/8 binary64))) (*.f64 (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)) (pow.f64 x #s(literal 3/8 binary64))) (pow.f64 x #s(literal 1/8 binary64)))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 5/8 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 3/8 binary64))) |
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3/8 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 3/8 binary64))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 1/8 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 3/4 binary64)))) (pow.f64 x #s(literal 1/8 binary64))) |
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 5/8 binary64)) (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64))) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64))) |
(*.f64 (*.f64 (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)) (pow.f64 x #s(literal 3/8 binary64))) (sqrt.f64 x)) (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64))) |
(*.f64 (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)) (sqrt.f64 x)) (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)) (sqrt.f64 x))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 3/8 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 5/8 binary64))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 5/8 binary64)) (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64))) (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)) (pow.f64 x #s(literal 3/8 binary64)))) |
(*.f64 (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)) (pow.f64 x #s(literal 3/8 binary64))) (*.f64 (pow.f64 x #s(literal 5/8 binary64)) (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)))) |
(*.f64 (pow.f64 x #s(literal 5/8 binary64)) (*.f64 (pow.f64 x #s(literal 3/8 binary64)) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)) (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)) x)) |
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (*.f64 (pow.f64 x #s(literal 1/8 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 3/4 binary64))))) |
(*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x)) |
(*.f64 (pow.f64 x #s(literal 3/8 binary64)) (*.f64 (pow.f64 x #s(literal 3/8 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 x #s(literal 3/8 binary64)) (*.f64 (pow.f64 x #s(literal 5/8 binary64)) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (pow.f64 x #s(literal 3/8 binary64)) (*.f64 (*.f64 (pow.f64 x #s(literal 3/8 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3/4 binary64)))) |
(*.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)) (*.f64 (*.f64 (pow.f64 x #s(literal 5/8 binary64)) (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64))) (pow.f64 x #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)) (*.f64 (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)) (pow.f64 x #s(literal 3/8 binary64))) (sqrt.f64 x))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1 binary64)) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 x #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3/4 binary64))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 3/4 binary64)))) |
(*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x #s(literal 2 binary64)))) |
(*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(pow.f64 (*.f64 (*.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3/16 binary64))) (pow.f64 x #s(literal 3/16 binary64))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3/16 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64))) (pow.f64 x #s(literal 3/16 binary64))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3/8 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/16 binary64))) (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/16 binary64))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (*.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/16 binary64)) (pow.f64 x #s(literal 3/8 binary64))) (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/16 binary64))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/8 binary64)) |
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(/.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (/.f64 (pow.f64 (log.f64 #s(literal 4 binary64)) #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 4 binary64) x)))) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 4 binary64) x))))) |
(/.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (/.f64 x #s(literal 4 binary64))))) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (/.f64 (pow.f64 (log.f64 #s(literal 4 binary64)) #s(literal 2 binary64)) (log.f64 (/.f64 x #s(literal 4 binary64)))))) |
(sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 4 binary64))) #s(literal 1/16 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/16 binary64))) #s(literal 4 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))))) |
(exp.f64 (log.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64)))) |
Compiled 8 914 to 1 522 computations (82.9% saved)
10 alts after pruning (2 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 611 | 2 | 613 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 2 | 3 |
| Done | 0 | 6 | 6 |
| Total | 612 | 10 | 622 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.1% | (*.f64 (pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64)) x) |
| ✓ | 99.5% | (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) |
| ✓ | 99.5% | (*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x)) |
| ✓ | 99.2% | (*.f64 (sqrt.f64 (sqrt.f64 x)) (*.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64)) (sqrt.f64 x))) |
| ✓ | 99.2% | (*.f64 (sqrt.f64 (sqrt.f64 x)) (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))) |
| 99.1% | (*.f64 (sqrt.f64 (sqrt.f64 x)) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 x))) | |
| ✓ | 66.6% | (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))))) |
| ✓ | 99.3% | (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
| ✓ | 54.4% | (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
| 20.3% | x |
Compiled 213 to 121 computations (43.2% saved)
| Inputs |
|---|
x |
(*.f64 x #s(literal 1 binary64)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
(*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))))) |
(*.f64 (sqrt.f64 (sqrt.f64 x)) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 x))) |
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))))) |
(*.f64 (sqrt.f64 (sqrt.f64 x)) (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 (sqrt.f64 x)) (*.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64)) (sqrt.f64 x))) |
(*.f64 (pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64)) x) |
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)) |
(*.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)) (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) x)) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/16 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/16 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x))) |
| Outputs |
|---|
(*.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)) (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) x)) |
3 calls:
| 5.0ms | x |
| 4.0ms | (*.f64 (*.f64 #s(literal 2 binary64) x) x) |
| 4.0ms | (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 1 | x |
| 99.6% | 1 | (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
| 99.6% | 1 | (*.f64 (*.f64 #s(literal 2 binary64) x) x) |
Compiled 12 to 10 computations (16.7% saved)
| Inputs |
|---|
x |
(*.f64 x #s(literal 1 binary64)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
(*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))))) |
(*.f64 (sqrt.f64 (sqrt.f64 x)) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 x))) |
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))))) |
(*.f64 (sqrt.f64 (sqrt.f64 x)) (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 (sqrt.f64 x)) (*.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64)) (sqrt.f64 x))) |
(*.f64 (pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64)) x) |
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)) |
| Outputs |
|---|
(*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x)) |
3 calls:
| 5.0ms | (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
| 4.0ms | x |
| 4.0ms | (*.f64 (*.f64 #s(literal 2 binary64) x) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 1 | x |
| 99.5% | 1 | (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
| 99.5% | 1 | (*.f64 (*.f64 #s(literal 2 binary64) x) x) |
Compiled 12 to 10 computations (16.7% saved)
| Inputs |
|---|
x |
(*.f64 x #s(literal 1 binary64)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
| Outputs |
|---|
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
3 calls:
| 2.0ms | x |
| 2.0ms | (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
| 2.0ms | (*.f64 (*.f64 #s(literal 2 binary64) x) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.3% | 1 | x |
| 99.3% | 1 | (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
| 99.3% | 1 | (*.f64 (*.f64 #s(literal 2 binary64) x) x) |
Compiled 12 to 10 computations (16.7% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
x |
(*.f64 x #s(literal 1 binary64)) |
| Outputs |
|---|
x |
3 calls:
| 1.0ms | x |
| 1.0ms | (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
| 1.0ms | (*.f64 (*.f64 #s(literal 2 binary64) x) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 20.3% | 1 | x |
| 20.3% | 1 | (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
| 20.3% | 1 | (*.f64 (*.f64 #s(literal 2 binary64) x) x) |
Compiled 12 to 10 computations (16.7% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 21 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)) (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) x)) |
(*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
x |
| Outputs |
|---|
(*.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)) (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) x)) |
(*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
x |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 14 |
| 0 | 8 | 14 |
| 1 | 17 | 14 |
| 2 | 38 | 13 |
| 3 | 92 | 12 |
| 4 | 338 | 12 |
| 5 | 2074 | 12 |
| 0 | 8672 | 12 |
| 0 | 17 | 51 |
| 0 | 28 | 45 |
| 1 | 61 | 45 |
| 2 | 170 | 37 |
| 3 | 755 | 33 |
| 4 | 2905 | 33 |
| 0 | 8680 | 33 |
| 0 | 20 | 64 |
| 0 | 33 | 55 |
| 1 | 79 | 50 |
| 2 | 234 | 47 |
| 3 | 826 | 33 |
| 4 | 5023 | 33 |
| 0 | 8659 | 33 |
| 0 | 23 | 87 |
| 0 | 40 | 77 |
| 1 | 84 | 75 |
| 2 | 208 | 65 |
| 3 | 713 | 65 |
| 4 | 4133 | 65 |
| 0 | 8149 | 65 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 88 to 65 computations (26.1% saved)
Compiled 72 to 60 computations (16.7% saved)
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