
Time bar (total: 16.5s)
| 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)
| 572.0ms | 8 256× | 0 | valid |
ival-mult: 188.0ms (73.4% of total)ival-sqrt: 55.0ms (21.5% of total)ival-true: 5.0ms (2% of total)exact: 4.0ms (1.6% of total)ival-assert: 3.0ms (1.2% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 129 | 0 | - | 1 | (-3.300375203975957e-162) | (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 x x) |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 2 binary64) (*.f64 x x)) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
sqrt.f64 | (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))) | uflow-rescue | 79 | 0 |
| ↳ | (*.f64 #s(literal 2 binary64) (*.f64 x x)) | underflow | 79 | |
| ↳ | (*.f64 x x) | underflow | 79 | |
sqrt.f64 | (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))) | oflow-rescue | 49 | 0 |
| ↳ | (*.f64 #s(literal 2 binary64) (*.f64 x x)) | overflow | 50 | |
| ↳ | (*.f64 x x) | overflow | 50 | |
| ↳ | (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))) | overflow | 1 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 128 | 1 |
| - | 0 | 127 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 128 | 0 | 1 |
| - | 0 | 0 | 127 |
| number | freq |
|---|---|
| 0 | 128 |
| 1 | 128 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 49.0ms | 512× | 0 | valid |
Compiled 42 to 19 computations (54.8% saved)
ival-mult: 29.0ms (87.6% of total)ival-sqrt: 4.0ms (12.1% 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 | 13 |
| 1 | 21 | 13 |
| 2 | 63 | 13 |
| 3 | 141 | 13 |
| 4 | 207 | 13 |
| 5 | 224 | 13 |
| 6 | 226 | 13 |
| 0 | 5 | 6 |
| 0 | 8 | 6 |
| 1 | 11 | 6 |
| 2 | 14 | 6 |
| 0 | 14 | 6 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))) |
| Outputs |
|---|
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))) |
(sqrt.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64))) |
(abs x)
Compiled 6 to 5 computations (16.7% saved)
Compiled 0 to 1 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 53.2% | (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 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 x x) | |
| cost-diff | 0 | (*.f64 #s(literal 2 binary64) (*.f64 x x)) | |
| cost-diff | 0 | (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 16 |
| 0 | 8 | 16 |
| 1 | 11 | 16 |
| 2 | 14 | 16 |
| 0 | 14 | 16 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))) |
(*.f64 #s(literal 2 binary64) (*.f64 x x)) |
#s(literal 2 binary64) |
(*.f64 x x) |
x |
| Outputs |
|---|
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))) |
(sqrt.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64))) |
(*.f64 #s(literal 2 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x x) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(*.f64 x x) |
x |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 0.0 | (*.f64 #s(literal 2 binary64) (*.f64 x x)) | |
| accuracy | 29.975141293382933 | (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))) |
| 10.0ms | 256× | 0 | valid |
Compiled 18 to 7 computations (61.1% saved)
ival-mult: 3.0ms (56.4% of total)ival-sqrt: 2.0ms (37.6% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))) |
(*.f64 #s(literal 2 binary64) (*.f64 x x)) |
(*.f64 x x) |
| Outputs |
|---|
(* x (sqrt 2)) |
(* 2 (pow x 2)) |
(pow x 2) |
(* -1 (* x (sqrt 2))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 51.0ms | x | @ | inf | ((sqrt (* 2 (* x x))) (* 2 (* x x)) (* x x)) |
| 1.0ms | x | @ | 0 | ((sqrt (* 2 (* x x))) (* 2 (* x x)) (* x x)) |
| 1.0ms | x | @ | -inf | ((sqrt (* 2 (* x x))) (* 2 (* x x)) (* x x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 17 |
| 1 | 15 | 17 |
| 2 | 32 | 17 |
| 3 | 38 | 17 |
| 4 | 42 | 17 |
| 5 | 54 | 17 |
| 6 | 66 | 17 |
| 7 | 77 | 17 |
| 8 | 97 | 17 |
| 9 | 102 | 17 |
| 0 | 102 | 17 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(* x (sqrt 2)) |
(* 2 (pow x 2)) |
(pow x 2) |
(* -1 (* x (sqrt 2))) |
| Outputs |
|---|
(* x (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(* 2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 2 binary64)) |
(pow x 2) |
(*.f64 x x) |
(* -1 (* x (sqrt 2))) |
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 14 |
| 0 | 8 | 14 |
| 1 | 17 | 13 |
| 2 | 46 | 12 |
| 3 | 123 | 12 |
| 4 | 580 | 12 |
| 5 | 3914 | 12 |
| 0 | 8179 | 12 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))) |
(*.f64 #s(literal 2 binary64) (*.f64 x x)) |
(*.f64 x 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 1/8 binary64)))) (pow.f64 x #s(literal 3/16 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 (sqrt.f64 x) #s(literal 2 binary64)) (pow.f64 x #s(literal 5/4 binary64)))) (pow.f64 x #s(literal 1/8 binary64))) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (pow.f64 x #s(literal 3/4 binary64)))) (pow.f64 x #s(literal 3/8 binary64))) |
(*.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 #s(literal 2 binary64) (pow.f64 x #s(literal 7/4 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 (sqrt.f64 x) #s(literal 2 binary64)) (pow.f64 x #s(literal 1/4 binary64)))) (pow.f64 x #s(literal 5/8 binary64))) |
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 1/4 binary64)))) (pow.f64 x #s(literal 7/8 binary64))) |
(*.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) (pow.f64 x #s(literal 3/4 binary64))) |
(*.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 3/2 binary64) (log.f64 x) (log.f64 #s(literal 2 binary64)))) (pow.f64 x #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 7/16 binary64)) (pow.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 1/16 binary64))) |
(*.f64 (*.f64 (pow.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 3/16 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 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 3/16 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 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 3/16 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))) (pow.f64 x #s(literal 1/4 binary64))) |
(*.f64 (*.f64 (pow.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 3/16 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))) |
(*.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal 1/4 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 (*.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 2 binary64) #s(literal 1/8 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 3/8 binary64))) (pow.f64 x #s(literal 1/8 binary64))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 1/8 binary64))) (pow.f64 x #s(literal 3/8 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 7/8 binary64)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 x #s(literal 5/8 binary64)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 x) #s(literal 2 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 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 (*.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3/4 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 #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 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 3/16 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/16 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 1/16 binary64)) (pow.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) #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 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 3/16 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)) (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 3/16 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 4 binary64) #s(literal 1/8 binary64)) x))) |
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))))) |
(*.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 3/8 binary64)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (*.f64 (sqrt.f64 x) #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 x #s(literal 3/8 binary64)) (*.f64 (pow.f64 x #s(literal 1/8 binary64)) (sqrt.f64 (*.f64 x #s(literal 2 binary64))))) |
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal 5/4 binary64)) (*.f64 (sqrt.f64 x) #s(literal 2 binary64))))) |
(*.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 7/4 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 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 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 3/16 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 x #s(literal 1/8 binary64)) (*.f64 (pow.f64 x #s(literal 3/8 binary64)) (sqrt.f64 (*.f64 x #s(literal 2 binary64))))) |
(*.f64 (pow.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/16 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 3/16 binary64))) |
(*.f64 (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 3/2 binary64) (log.f64 x) (log.f64 #s(literal 2 binary64))))) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 3/16 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 x) (sqrt.f64 (*.f64 x #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(*.f64 x (sqrt.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 (*.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 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 (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))) |
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(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 #s(literal 4 binary64) (log.f64 x))) |
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64)) (log.f64 x)) |
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (log.f64 x))) |
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (*.f64 #s(literal 8 binary64) (log.f64 x))) |
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(pow.f64 (E.f64) (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(pow.f64 (pow.f64 x #s(literal 16 binary64)) #s(literal 1/8 binary64)) |
(pow.f64 (exp.f64 #s(literal 4 binary64)) (/.f64 (log.f64 x) #s(literal 2 binary64))) |
(pow.f64 (exp.f64 #s(literal 4 binary64)) (log.f64 (sqrt.f64 x))) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (+.f64 (/.f64 (log.f64 x) #s(literal 2 binary64)) (/.f64 (log.f64 x) #s(literal 2 binary64)))) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (fma.f64 (log.f64 x) #s(literal 1/2 binary64) (/.f64 (log.f64 x) #s(literal 2 binary64)))) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (+.f64 (/.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (sqrt.f64 x)))) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/8 binary64) (log.f64 x)) #s(literal 8 binary64))) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (log.f64 x) #s(literal 1/4 binary64)) #s(literal 4 binary64))) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x)) |
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 4 binary64) (log.f64 x))) |
(pow.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 x #s(literal 1/8 binary64)) #s(literal 16 binary64)) |
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 8 binary64)) |
(pow.f64 (sqrt.f64 x) #s(literal 4 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(neg.f64 (*.f64 x x)) |
(sqrt.f64 (pow.f64 x #s(literal 4 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 x x)) |
(fabs.f64 (*.f64 x x)) |
(exp.f64 (*.f64 (log.f64 (E.f64)) (*.f64 (log.f64 x) #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 4 binary64))) (log.f64 (sqrt.f64 x)))) |
(exp.f64 (*.f64 (*.f64 #s(literal 8 binary64) (log.f64 x)) #s(literal 1/4 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1/4 binary64)) #s(literal 8 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
Compiled 2 959 to 751 computations (74.6% saved)
8 alts after pruning (7 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 223 | 7 | 230 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 223 | 8 | 231 |
| Status | Accuracy | Program |
|---|---|---|
| 98.9% | (pow.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x)) #s(literal 2 binary64)) | |
| 99.4% | (*.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3/4 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 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x)) |
| ▶ | 99.4% | (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
| ▶ | 53.1% | (sqrt.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) |
| ▶ | 52.9% | (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (sqrt.f64 x) #s(literal 4 binary64)))) |
| ✓ | 53.2% | (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))) |
Compiled 112 to 99 computations (11.6% 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 | 4 | (*.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) #s(literal 2 binary64)) | |
| cost-diff | 0 | (pow.f64 x #s(literal 3/2 binary64)) | |
| cost-diff | 0 | (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) | |
| cost-diff | 0 | (sqrt.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) | |
| cost-diff | 0 | (sqrt.f64 x) | |
| cost-diff | 0 | (pow.f64 (sqrt.f64 x) #s(literal 4 binary64)) | |
| cost-diff | 0 | (*.f64 #s(literal 2 binary64) (pow.f64 (sqrt.f64 x) #s(literal 4 binary64))) | |
| cost-diff | 0 | (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (sqrt.f64 x) #s(literal 4 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 | 21 | 97 |
| 0 | 37 | 97 |
| 1 | 49 | 93 |
| 2 | 60 | 93 |
| 3 | 62 | 93 |
| 0 | 62 | 93 |
| 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 |
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (sqrt.f64 x) #s(literal 4 binary64)))) |
(*.f64 #s(literal 2 binary64) (pow.f64 (sqrt.f64 x) #s(literal 4 binary64))) |
#s(literal 2 binary64) |
(pow.f64 (sqrt.f64 x) #s(literal 4 binary64)) |
(sqrt.f64 x) |
x |
#s(literal 4 binary64) |
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) |
(pow.f64 x #s(literal 3/2 binary64)) |
x |
#s(literal 3/2 binary64) |
(*.f64 (sqrt.f64 x) #s(literal 2 binary64)) |
(sqrt.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)) |
#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 |
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (sqrt.f64 x) #s(literal 4 binary64)))) |
(sqrt.f64 (*.f64 (pow.f64 (sqrt.f64 x) #s(literal 4 binary64)) #s(literal 2 binary64))) |
(*.f64 #s(literal 2 binary64) (pow.f64 (sqrt.f64 x) #s(literal 4 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal 4 binary64)) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(pow.f64 (sqrt.f64 x) #s(literal 4 binary64)) |
(sqrt.f64 x) |
x |
#s(literal 4 binary64) |
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) |
(sqrt.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) (sqrt.f64 x))) |
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) (sqrt.f64 x)) |
(pow.f64 x #s(literal 3/2 binary64)) |
x |
#s(literal 3/2 binary64) |
(*.f64 (sqrt.f64 x) #s(literal 2 binary64)) |
(sqrt.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)) |
(*.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 | 0.203125 | (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) | |
| accuracy | 0.3203125 | (*.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 | (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) | |
| accuracy | 0.0 | (sqrt.f64 x) | |
| accuracy | 0.15234375 | (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) | |
| accuracy | 29.975141293382933 | (sqrt.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) | |
| accuracy | 0.0 | (*.f64 #s(literal 2 binary64) (pow.f64 (sqrt.f64 x) #s(literal 4 binary64))) | |
| accuracy | 0.0 | (sqrt.f64 x) | |
| accuracy | 0.4321252442110506 | (pow.f64 (sqrt.f64 x) #s(literal 4 binary64)) | |
| accuracy | 29.975141293382933 | (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (sqrt.f64 x) #s(literal 4 binary64)))) | |
| accuracy | 0.0 | (sqrt.f64 #s(literal 2 binary64)) | |
| accuracy | 0.3984375 | (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) | |
| accuracy | 0.0 | (*.f64 x #s(literal 2 binary64)) | |
| accuracy | 0.0 | (sqrt.f64 x) | |
| accuracy | 0.23827749812482193 | (sqrt.f64 (*.f64 x #s(literal 2 binary64))) | |
| accuracy | 0.31478500976844204 | (*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x)) |
| 51.0ms | 256× | 0 | valid |
Compiled 99 to 23 computations (76.8% saved)
ival-mult: 12.0ms (38% of total)ival-pow: 11.0ms (34.8% of total)ival-sqrt: 8.0ms (25.3% of total)exact: 1.0ms (3.2% 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)) |
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (sqrt.f64 x) #s(literal 4 binary64)))) |
(*.f64 #s(literal 2 binary64) (pow.f64 (sqrt.f64 x) #s(literal 4 binary64))) |
(pow.f64 (sqrt.f64 x) #s(literal 4 binary64)) |
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) |
(pow.f64 x #s(literal 3/2 binary64)) |
(*.f64 (sqrt.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) |
(* 2 (pow x 2)) |
(pow x 2) |
(sqrt (pow x 3)) |
(* 2 (sqrt x)) |
(* (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 (* x (* (pow (sqrt -1) 2) (sqrt 2)))) |
(* 2 (* (pow x 2) (pow (sqrt -1) 4))) |
(* (pow x 2) (pow (sqrt -1) 4)) |
(* -1 (* x (* (sqrt -1) (sqrt 2)))) |
(* 2 (* (pow x 2) (pow (sqrt -1) 2))) |
(* (sqrt (pow x 3)) (pow (sqrt -1) 2)) |
(* -2 (* (sqrt x) (pow (sqrt -1) 2))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 59.0ms | x | @ | 0 | ((* (sqrt (* x 2)) (sqrt x)) (sqrt (* x 2)) (* x 2) (sqrt x) (* (sqrt 2) x) (sqrt 2) (sqrt (* 2 (pow (sqrt x) 4))) (* 2 (pow (sqrt x) 4)) (pow (sqrt x) 4) (sqrt (* (pow x 3/2) (* (sqrt x) 2))) (* (pow x 3/2) (* (sqrt x) 2)) (pow x 3/2) (* (sqrt x) 2) (* (pow 4 1/8) (* (pow 4 1/8) x)) (pow 4 1/8) (* (pow 4 1/8) x)) |
| 18.0ms | x | @ | -inf | ((* (sqrt (* x 2)) (sqrt x)) (sqrt (* x 2)) (* x 2) (sqrt x) (* (sqrt 2) x) (sqrt 2) (sqrt (* 2 (pow (sqrt x) 4))) (* 2 (pow (sqrt x) 4)) (pow (sqrt x) 4) (sqrt (* (pow x 3/2) (* (sqrt x) 2))) (* (pow x 3/2) (* (sqrt x) 2)) (pow x 3/2) (* (sqrt x) 2) (* (pow 4 1/8) (* (pow 4 1/8) x)) (pow 4 1/8) (* (pow 4 1/8) x)) |
| 18.0ms | x | @ | inf | ((* (sqrt (* x 2)) (sqrt x)) (sqrt (* x 2)) (* x 2) (sqrt x) (* (sqrt 2) x) (sqrt 2) (sqrt (* 2 (pow (sqrt x) 4))) (* 2 (pow (sqrt x) 4)) (pow (sqrt x) 4) (sqrt (* (pow x 3/2) (* (sqrt x) 2))) (* (pow x 3/2) (* (sqrt x) 2)) (pow x 3/2) (* (sqrt 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: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 102 |
| 1 | 99 | 94 |
| 2 | 294 | 93 |
| 3 | 540 | 93 |
| 4 | 1417 | 93 |
| 5 | 3050 | 93 |
| 6 | 4096 | 93 |
| 7 | 4251 | 93 |
| 8 | 4305 | 93 |
| 9 | 4338 | 93 |
| 10 | 4351 | 93 |
| 11 | 4519 | 93 |
| 12 | 4587 | 93 |
| 13 | 4587 | 93 |
| 14 | 4587 | 93 |
| 15 | 4587 | 93 |
| 16 | 4909 | 93 |
| 17 | 5717 | 93 |
| 18 | 5741 | 93 |
| 0 | 5741 | 93 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(* x (sqrt 2)) |
(* (sqrt x) (sqrt 2)) |
(* 2 x) |
(sqrt x) |
(* 2 (pow x 2)) |
(pow x 2) |
(sqrt (pow x 3)) |
(* 2 (sqrt x)) |
(* (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 (* x (* (pow (sqrt -1) 2) (sqrt 2)))) |
(* 2 (* (pow x 2) (pow (sqrt -1) 4))) |
(* (pow x 2) (pow (sqrt -1) 4)) |
(* -1 (* x (* (sqrt -1) (sqrt 2)))) |
(* 2 (* (pow x 2) (pow (sqrt -1) 2))) |
(* (sqrt (pow x 3)) (pow (sqrt -1) 2)) |
(* -2 (* (sqrt x) (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) |
(* 2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 2 binary64)) |
(pow x 2) |
(*.f64 x x) |
(sqrt (pow x 3)) |
(sqrt.f64 (pow.f64 x #s(literal 3 binary64))) |
(* 2 (sqrt x)) |
(*.f64 (sqrt.f64 x) #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 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (neg.f64 x)) |
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1)))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (sqrt.f64 x))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2)))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(* 2 (* (pow x 2) (pow (sqrt -1) 4))) |
(*.f64 (*.f64 x x) #s(literal 2 binary64)) |
(* (pow x 2) (pow (sqrt -1) 4)) |
(*.f64 x x) |
(* -1 (* x (* (sqrt -1) (sqrt 2)))) |
(*.f64 (neg.f64 x) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) |
(* 2 (* (pow x 2) (pow (sqrt -1) 2))) |
(*.f64 #s(literal -2 binary64) (*.f64 x x)) |
(* (sqrt (pow x 3)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) |
(* -2 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 (sqrt.f64 x) #s(literal 2 binary64)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 80 |
| 0 | 37 | 69 |
| 1 | 84 | 69 |
| 2 | 228 | 59 |
| 3 | 815 | 59 |
| 4 | 4635 | 59 |
| 0 | 8114 | 59 |
| 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)) |
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (sqrt.f64 x) #s(literal 4 binary64)))) |
(*.f64 #s(literal 2 binary64) (pow.f64 (sqrt.f64 x) #s(literal 4 binary64))) |
(pow.f64 (sqrt.f64 x) #s(literal 4 binary64)) |
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) |
(pow.f64 x #s(literal 3/2 binary64)) |
(*.f64 (sqrt.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 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 13/8 binary64) (log.f64 x) (log.f64 #s(literal 2 binary64)))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 3/8 binary64) (log.f64 x)))) |
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(*.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 #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 x #s(literal 1/8 binary64)) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 7/4 binary64) (log.f64 x) (log.f64 #s(literal 2 binary64))))) |
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (*.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) (sqrt.f64 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 3/4 binary64)) (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal 7/4 binary64)) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 5/4 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 3/16 binary64)) (*.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) (sqrt.f64 x)))) |
(*.f64 (pow.f64 x #s(literal 3/16 binary64)) (*.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 5/4 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) (sqrt.f64 x)))) |
(*.f64 (pow.f64 x #s(literal 3/16 binary64)) (*.f64 (pow.f64 x #s(literal 3/16 binary64)) (*.f64 (pow.f64 x #s(literal 5/8 binary64)) (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 (pow.f64 x #s(literal 3/16 binary64)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal 13/8 binary64)) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 3/8 binary64)) (*.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) (sqrt.f64 x)))) |
(*.f64 (pow.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3/4 binary64)))) |
(*.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) (sqrt.f64 x)))) |
(*.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 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 #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)) (sqrt.f64 (*.f64 #s(literal 2 binary64) x)))) |
(*.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 #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 #s(literal 64 binary64) #s(literal 1/16 binary64)) x) (pow.f64 #s(literal 16 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 (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 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 #s(literal 2 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 (*.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3/4 binary64))) |
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) (*.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)) x)) |
(*.f64 (*.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) x) (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 #s(literal 2 binary64) x))) |
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 x)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(pow.f64 (pow.f64 (*.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) (sqrt.f64 x)) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (fma.f64 (log.f64 #s(literal 16 binary64)) #s(literal 1/16 binary64) (log.f64 (sqrt.f64 x)))) |
(pow.f64 (*.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) (sqrt.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 1/8 binary64)) #s(literal 4 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 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(sqrt.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 1/2 binary64))) (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 2 binary64))))) |
(exp.f64 (fma.f64 #s(literal 1/4 binary64) (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 2 binary64))) (fma.f64 (log.f64 #s(literal 16 binary64)) #s(literal 1/16 binary64) (log.f64 (sqrt.f64 x))))) |
(exp.f64 (fma.f64 (log.f64 #s(literal 16 binary64)) #s(literal 1/8 binary64) (log.f64 x))) |
(exp.f64 (+.f64 (log.f64 x) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) |
(exp.f64 (*.f64 (fma.f64 (log.f64 #s(literal 16 binary64)) #s(literal 1/16 binary64) (log.f64 (sqrt.f64 x))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (fma.f64 (log.f64 x) #s(literal 4 binary64) (log.f64 #s(literal 4 binary64))) #s(literal 1/4 binary64))) |
(exp.f64 (fma.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64) (log.f64 x))) |
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 7/64 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/64 binary64))) |
(*.f64 (pow.f64 (exp.f64 #s(literal 1/8 binary64)) (/.f64 (log.f64 #s(literal 4 binary64)) #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal 1/8 binary64)) (/.f64 (log.f64 #s(literal 4 binary64)) #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64))) (sqrt.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)))) |
(*.f64 (pow.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/32 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/64 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/64 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/32 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/32 binary64)) (pow.f64 #s(literal 16 binary64) #s(literal 1/64 binary64))) |
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))) |
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/64 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 7/64 binary64))) |
(*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/64 binary64)) (pow.f64 #s(literal 64 binary64) #s(literal 1/32 binary64))) |
(*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64))) |
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/8 binary64)) (/.f64 (log.f64 #s(literal 4 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)) |
(pow.f64 (sqrt.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64))) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 #s(literal 1/16 binary64)) (log.f64 #s(literal 16 binary64))) |
(pow.f64 (exp.f64 (log.f64 #s(literal 16 binary64))) #s(literal 1/16 binary64)) |
(pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 #s(literal 1/8 binary64)) (+.f64 (/.f64 (log.f64 #s(literal 4 binary64)) #s(literal 2 binary64)) (/.f64 (log.f64 #s(literal 4 binary64)) #s(literal 2 binary64)))) |
(pow.f64 (exp.f64 #s(literal 1/8 binary64)) (*.f64 (log.f64 #s(literal 4 binary64)) #s(literal 1 binary64))) |
(pow.f64 (exp.f64 #s(literal 1/8 binary64)) (log.f64 #s(literal 4 binary64))) |
(pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) |
(pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/64 binary64)) #s(literal 4 binary64)) |
(pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)) |
(pow.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64)) |
(pow.f64 #s(literal 4 binary64) (log.f64 (exp.f64 #s(literal 1/8 binary64)))) |
(pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) |
(pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) |
(exp.f64 (*.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/8 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (log.f64 #s(literal 4 binary64)) #s(literal 1 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (exp.f64 #s(literal 1/8 binary64))) (log.f64 #s(literal 4 binary64))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (*.f64 (*.f64 (log.f64 #s(literal 4 binary64)) #s(literal 1/8 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/64 binary64) (log.f64 #s(literal 16 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 #s(literal 16 binary64)) #s(literal 1/32 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/16 binary64) (log.f64 #s(literal 4 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 #s(literal 16 binary64)))) #s(literal 1/16 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 1/8 binary64))) (*.f64 (log.f64 #s(literal 4 binary64)) #s(literal 1 binary64)))) |
(exp.f64 (*.f64 (log.f64 #s(literal 256 binary64)) #s(literal 1/32 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 1/64 binary64) (log.f64 #s(literal 16 binary64))) #s(literal 4 binary64))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 1/8 binary64))) (log.f64 #s(literal 4 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 #s(literal 4 binary64)) #s(literal 1/8 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 #s(literal 4 binary64)) #s(literal 1/8 binary64))) |
(*.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 (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 (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 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 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 (*.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 256 binary64) #s(literal 1/32 binary64)) (sqrt.f64 x)) (sqrt.f64 x)) |
(*.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 (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 (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 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 5/8 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 (*.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 256 binary64) #s(literal 1/32 binary64)) x) |
(*.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 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 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3/4 binary64))) |
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 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 (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 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x)) #s(literal 2 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 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))) |
(exp.f64 (fma.f64 (log.f64 #s(literal 16 binary64)) #s(literal 1/16 binary64) (log.f64 x))) |
Compiled 9 102 to 2 141 computations (76.5% saved)
7 alts after pruning (4 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 710 | 4 | 714 |
| Fresh | 2 | 0 | 2 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 715 | 7 | 722 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.1% | (*.f64 (pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64)) x) |
| ▶ | 99.4% | (*.f64 (pow.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3/4 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)) |
| ✓ | 99.4% | (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
| ▶ | 53.0% | (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 x) x) (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) |
| ✓ | 53.2% | (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))) |
Compiled 52 to 46 computations (11.5% saved)
| 1× | egg-herbie |
Found 15 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 | 2 | (pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64)) | |
| cost-diff | 0 | (pow.f64 x #s(literal 3/4 binary64)) | |
| cost-diff | 0 | (*.f64 x #s(literal 4 binary64)) | |
| cost-diff | 0 | (pow.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) | |
| cost-diff | 0 | (*.f64 (pow.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3/4 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 x) | |
| cost-diff | 0 | (*.f64 (sqrt.f64 x) x) | |
| cost-diff | 0 | (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 x) x) (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) | |
| cost-diff | 4 | (*.f64 (*.f64 (sqrt.f64 x) x) (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 99 |
| 0 | 42 | 99 |
| 1 | 57 | 95 |
| 2 | 88 | 87 |
| 3 | 103 | 87 |
| 4 | 132 | 87 |
| 5 | 169 | 87 |
| 6 | 171 | 87 |
| 0 | 171 | 87 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(sqrt.f64 (*.f64 (*.f64 (sqrt.f64 x) x) (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) |
(*.f64 (*.f64 (sqrt.f64 x) x) (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 x) x) |
(sqrt.f64 x) |
x |
(*.f64 (sqrt.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 (*.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3/4 binary64))) |
(pow.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) |
(*.f64 x #s(literal 4 binary64)) |
x |
#s(literal 4 binary64) |
#s(literal 1/4 binary64) |
(pow.f64 x #s(literal 3/4 binary64)) |
#s(literal 3/4 binary64) |
(*.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 |
|---|
(sqrt.f64 (*.f64 (*.f64 (sqrt.f64 x) x) (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) |
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
(*.f64 (*.f64 (sqrt.f64 x) x) (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) |
(*.f64 (*.f64 #s(literal 2 binary64) x) x) |
(*.f64 (sqrt.f64 x) x) |
(sqrt.f64 x) |
x |
(*.f64 (sqrt.f64 x) #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) (sqrt.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)) |
(*.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 (*.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3/4 binary64))) |
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64))) |
(pow.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64)) |
(*.f64 x #s(literal 4 binary64)) |
(*.f64 #s(literal 4 binary64) x) |
x |
#s(literal 4 binary64) |
#s(literal 1/4 binary64) |
(pow.f64 x #s(literal 3/4 binary64)) |
#s(literal 3/4 binary64) |
(*.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 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) | |
| accuracy | 0.3984375 | (*.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 x #s(literal 3/4 binary64)) | |
| accuracy | 0.0 | (*.f64 x #s(literal 4 binary64)) | |
| accuracy | 0.24056349274015518 | (pow.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) | |
| accuracy | 0.37728500976844204 | (*.f64 (pow.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3/4 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 | 0.1953125 | (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) x) | |
| accuracy | 0.30078125 | (*.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 | 0.0 | (sqrt.f64 x) | |
| accuracy | 0.15234375 | (*.f64 (*.f64 (sqrt.f64 x) x) (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) | |
| accuracy | 0.1796875 | (*.f64 (sqrt.f64 x) x) | |
| accuracy | 29.975141293382933 | (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 x) x) (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) |
| 65.0ms | 256× | 0 | valid |
Compiled 101 to 28 computations (72.3% saved)
ival-pow: 32.0ms (62.7% of total)ival-mult: 11.0ms (21.6% of total)ival-sqrt: 4.0ms (7.8% of total)ival-pow2: 3.0ms (5.9% of total)exact: 1.0ms (2% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (*.f64 (sqrt.f64 x) x) (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) |
(sqrt.f64 (*.f64 (*.f64 (sqrt.f64 x) x) (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 x) x) |
(sqrt.f64 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)) |
(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)) |
(*.f64 (pow.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3/4 binary64))) |
(pow.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) |
(*.f64 x #s(literal 4 binary64)) |
(pow.f64 x #s(literal 3/4 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)) |
| Outputs |
|---|
(* 2 (pow x 2)) |
(* x (sqrt 2)) |
(sqrt (pow x 3)) |
(sqrt x) |
(* (pow 16 1/32) (* (pow 64 1/16) x)) |
(* (pow 16 1/32) x) |
(* (pow 4 1/4) x) |
(exp (* 1/4 (+ (log 4) (log x)))) |
(* 4 x) |
(pow (* 1 (pow x 3)) 1/4) |
(* (pow 256 1/16) x) |
(exp (* 1/4 (+ (log 4) (* -1 (log (/ 1 x)))))) |
(* -2 (* (pow x 2) (pow (sqrt -1) 2))) |
(* -1 (* x (* (sqrt -2) (sqrt -1)))) |
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (pow 4 1/4) x)) |
(exp (* 1/4 (+ (log -4) (* -1 (log (/ -1 x)))))) |
(exp (* 1/4 (+ (log -1) (* -3 (log (/ -1 x)))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 297.0ms | x | @ | 0 | ((* (* (sqrt x) x) (* (sqrt x) 2)) (sqrt (* (* (sqrt x) x) (* (sqrt x) 2))) (* (sqrt x) x) (sqrt x) (* (pow 64 1/16) (* (pow 16 1/32) x)) (pow 64 1/16) (* (pow 16 1/32) x) (pow 16 1/32) (* (pow (* x 4) 1/4) (pow x 3/4)) (pow (* x 4) 1/4) (* x 4) (pow x 3/4) (pow (pow 256 1/32) 2) (* (pow (pow 256 1/32) 2) x) (pow 256 1/32)) |
| 130.0ms | x | @ | -inf | ((* (* (sqrt x) x) (* (sqrt x) 2)) (sqrt (* (* (sqrt x) x) (* (sqrt x) 2))) (* (sqrt x) x) (sqrt x) (* (pow 64 1/16) (* (pow 16 1/32) x)) (pow 64 1/16) (* (pow 16 1/32) x) (pow 16 1/32) (* (pow (* x 4) 1/4) (pow x 3/4)) (pow (* x 4) 1/4) (* x 4) (pow x 3/4) (pow (pow 256 1/32) 2) (* (pow (pow 256 1/32) 2) x) (pow 256 1/32)) |
| 104.0ms | x | @ | inf | ((* (* (sqrt x) x) (* (sqrt x) 2)) (sqrt (* (* (sqrt x) x) (* (sqrt x) 2))) (* (sqrt x) x) (sqrt x) (* (pow 64 1/16) (* (pow 16 1/32) x)) (pow 64 1/16) (* (pow 16 1/32) x) (pow 16 1/32) (* (pow (* x 4) 1/4) (pow x 3/4)) (pow (* x 4) 1/4) (* x 4) (pow x 3/4) (pow (pow 256 1/32) 2) (* (pow (pow 256 1/32) 2) x) (pow 256 1/32)) |
| 1× | egg-herbie |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 70 | 101 |
| 1 | 155 | 101 |
| 2 | 356 | 98 |
| 3 | 621 | 92 |
| 4 | 1041 | 92 |
| 5 | 1421 | 92 |
| 6 | 2051 | 92 |
| 7 | 3178 | 92 |
| 8 | 4506 | 92 |
| 9 | 5911 | 92 |
| 10 | 7508 | 92 |
| 0 | 8021 | 92 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 2 (pow x 2)) |
(* x (sqrt 2)) |
(sqrt (pow x 3)) |
(sqrt x) |
(* (pow 16 1/32) (* (pow 64 1/16) x)) |
(* (pow 16 1/32) x) |
(* (pow 4 1/4) x) |
(exp (* 1/4 (+ (log 4) (log x)))) |
(* 4 x) |
(pow (* 1 (pow x 3)) 1/4) |
(* (pow 256 1/16) x) |
(exp (* 1/4 (+ (log 4) (* -1 (log (/ 1 x)))))) |
(* -2 (* (pow x 2) (pow (sqrt -1) 2))) |
(* -1 (* x (* (sqrt -2) (sqrt -1)))) |
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (pow 4 1/4) x)) |
(exp (* 1/4 (+ (log -4) (* -1 (log (/ -1 x)))))) |
(exp (* 1/4 (+ (log -1) (* -3 (log (/ -1 x)))))) |
| Outputs |
|---|
(* 2 (pow x 2)) |
(*.f64 (*.f64 #s(literal 2 binary64) x) x) |
(* x (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(sqrt (pow x 3)) |
(sqrt.f64 (pow.f64 x #s(literal 3 binary64))) |
(sqrt x) |
(sqrt.f64 x) |
(* (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 4 1/4) x) |
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) x) |
(exp (* 1/4 (+ (log 4) (log x)))) |
(pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64)) |
(* 4 x) |
(*.f64 #s(literal 4 binary64) x) |
(pow (* 1 (pow x 3)) 1/4) |
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/4 binary64)) |
(* (pow 256 1/16) x) |
(*.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/16 binary64)) x) |
(exp (* 1/4 (+ (log 4) (* -1 (log (/ 1 x)))))) |
(pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64)) |
(* -2 (* (pow x 2) (pow (sqrt -1) 2))) |
(*.f64 (*.f64 #s(literal 2 binary64) x) x) |
(* -1 (* x (* (sqrt -2) (sqrt -1)))) |
(*.f64 (neg.f64 x) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) |
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))) |
(sqrt.f64 (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* (pow 4 1/4) x)) |
(*.f64 (neg.f64 x) (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 4 binary64) x) #s(literal 1/4 binary64)) |
(exp (* 1/4 (+ (log -1) (* -3 (log (/ -1 x)))))) |
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/4 binary64)) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 80 |
| 0 | 42 | 88 |
| 1 | 107 | 81 |
| 2 | 325 | 53 |
| 3 | 1188 | 40 |
| 4 | 6524 | 40 |
| 0 | 8313 | 40 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 (sqrt.f64 x) x) (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) |
(sqrt.f64 (*.f64 (*.f64 (sqrt.f64 x) x) (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 x) x) |
(sqrt.f64 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)) |
(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)) |
(*.f64 (pow.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3/4 binary64))) |
(pow.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) |
(*.f64 x #s(literal 4 binary64)) |
(pow.f64 x #s(literal 3/4 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)) |
| Outputs |
|---|
(*.f64 (exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) x))) x) |
(*.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) (*.f64 x x)) |
(*.f64 (exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))) (pow.f64 x #s(literal 3/2 binary64))) |
(*.f64 (exp.f64 (fma.f64 #s(literal 3/2 binary64) (log.f64 x) (log.f64 #s(literal 2 binary64)))) (sqrt.f64 x)) |
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64))) |
(*.f64 (*.f64 #s(literal 2 binary64) x) x) |
(*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3/2 binary64))) (sqrt.f64 x)) |
(*.f64 (*.f64 x x) (exp.f64 (log.f64 #s(literal 2 binary64)))) |
(*.f64 (*.f64 x x) #s(literal 2 binary64)) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 1/4 binary64)))) |
(*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal 3/2 binary64))) |
(*.f64 #s(literal 2 binary64) (*.f64 x x)) |
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))))) |
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) |
(*.f64 (sqrt.f64 x) (exp.f64 (fma.f64 #s(literal 3/2 binary64) (log.f64 x) (log.f64 #s(literal 2 binary64))))) |
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3/2 binary64)))) |
(*.f64 x (exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)))) |
(*.f64 x (*.f64 #s(literal 2 binary64) x)) |
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 2 binary64)))) |
(*.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 x #s(literal 1/16 binary64))) (*.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 x #s(literal 1/16 binary64)))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 1/16 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/16 binary64)) (pow.f64 x #s(literal 3/8 binary64)))) (*.f64 (pow.f64 x #s(literal 1/16 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/16 binary64)) (pow.f64 x #s(literal 3/8 binary64))))) |
(*.f64 (*.f64 (pow.f64 #s(literal 16384 binary64) #s(literal 1/64 binary64)) (sqrt.f64 x)) (*.f64 (pow.f64 #s(literal 16384 binary64) #s(literal 1/64 binary64)) (sqrt.f64 x))) |
(*.f64 (*.f64 (sqrt.f64 x) (pow.f64 #s(literal 16384 binary64) #s(literal 1/64 binary64))) (*.f64 (sqrt.f64 x) (pow.f64 #s(literal 16384 binary64) #s(literal 1/64 binary64)))) |
(*.f64 (*.f64 (sqrt.f64 x) (pow.f64 #s(literal 4 binary64) #s(literal 1/16 binary64))) (*.f64 (sqrt.f64 x) (pow.f64 #s(literal 4 binary64) #s(literal 1/16 binary64)))) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 1/4 binary64)))) (pow.f64 x #s(literal 1/8 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) (pow.f64 #s(literal 4096 binary64) #s(literal 1/128 binary64))) (*.f64 (sqrt.f64 x) (pow.f64 #s(literal 4096 binary64) #s(literal 1/128 binary64)))) |
(*.f64 (*.f64 (pow.f64 #s(literal 4096 binary64) #s(literal 1/128 binary64)) (sqrt.f64 x)) (*.f64 (pow.f64 #s(literal 4096 binary64) #s(literal 1/128 binary64)) (sqrt.f64 x))) |
(*.f64 (*.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/256 binary64)) (sqrt.f64 x)) (*.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/256 binary64)) (sqrt.f64 x))) |
(*.f64 (*.f64 (sqrt.f64 x) (pow.f64 #s(literal 256 binary64) #s(literal 1/256 binary64))) (*.f64 (sqrt.f64 x) (pow.f64 #s(literal 256 binary64) #s(literal 1/256 binary64)))) |
(*.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 1/4 binary64))) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/8 binary64))) |
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 7/8 binary64)) #s(literal 1 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))) |
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 7/8 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 1/8 binary64))) |
(*.f64 (*.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/256 binary64)) x) (pow.f64 #s(literal 256 binary64) #s(literal 1/256 binary64))) |
(*.f64 (*.f64 (pow.f64 #s(literal 4096 binary64) #s(literal 1/128 binary64)) (*.f64 #s(literal 1 binary64) x)) (pow.f64 #s(literal 4096 binary64) #s(literal 1/128 binary64))) |
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 5/8 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3/16 binary64))) (pow.f64 x #s(literal 3/16 binary64))) |
(*.f64 (*.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/256 binary64)) (*.f64 #s(literal 1 binary64) x)) (pow.f64 #s(literal 256 binary64) #s(literal 1/256 binary64))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 7/8 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 1/8 binary64))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 7/8 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 5/8 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3/8 binary64))) |
(*.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (sqrt.f64 x)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (sqrt.f64 x))) |
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(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (sqrt.f64 x))) #s(literal 2 binary64))) |
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#s(literal 1 binary64) |
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(pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) |
(pow.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (sqrt.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
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(sqrt.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x))) |
(sqrt.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64))) |
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
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(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/2 binary64))) |
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(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) |
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(exp.f64 (+.f64 #s(literal 0 binary64) (log.f64 x))) |
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(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (sqrt.f64 x))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 x) #s(literal 0 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 2 binary64)))) #s(literal 1/4 binary64))) |
(exp.f64 (fma.f64 (log.f64 #s(literal 4 binary64)) #s(literal 1/4 binary64) (log.f64 x))) |
(exp.f64 (fma.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64) (log.f64 x))) |
#s(literal 1 binary64) |
Compiled 4 133 to 1 019 computations (75.3% saved)
8 alts after pruning (2 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 328 | 2 | 330 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 3 | 4 |
| Done | 0 | 3 | 3 |
| Total | 329 | 8 | 337 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.1% | (*.f64 (pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64)) x) |
| ✓ | 99.6% | (*.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)) |
| ▶ | 99.4% | (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 3/4 binary64))) |
| ✓ | 99.4% | (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
| ▶ | 20.3% | (*.f64 x #s(literal 1 binary64)) |
| ✓ | 53.0% | (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 x) x) (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) |
| ✓ | 53.2% | (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))) |
Compiled 55 to 49 computations (10.9% saved)
| 1× | egg-herbie |
Found 5 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sqrt.f64 x) | |
| cost-diff | 0 | (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) | |
| cost-diff | 0 | (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) | |
| cost-diff | 0 | (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 3/4 binary64))) | |
| cost-diff | 2 | (*.f64 x #s(literal 1 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 31 |
| 0 | 16 | 29 |
| 1 | 21 | 29 |
| 2 | 22 | 29 |
| 0 | 22 | 29 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 3/4 binary64))) |
(sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) |
(*.f64 #s(literal 2 binary64) (sqrt.f64 x)) |
#s(literal 2 binary64) |
(sqrt.f64 x) |
x |
(pow.f64 x #s(literal 3/4 binary64)) |
#s(literal 3/4 binary64) |
| Outputs |
|---|
(*.f64 x #s(literal 1 binary64)) |
x |
x |
#s(literal 1 binary64) |
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 3/4 binary64))) |
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) |
(sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) |
(sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) |
(*.f64 #s(literal 2 binary64) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(sqrt.f64 x) |
x |
(pow.f64 x #s(literal 3/4 binary64)) |
#s(literal 3/4 binary64) |
Found 5 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) | |
| accuracy | 0.0 | (sqrt.f64 x) | |
| accuracy | 0.125 | (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) | |
| accuracy | 0.37728500976844204 | (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 3/4 binary64))) | |
| accuracy | 0.0 | (*.f64 x #s(literal 1 binary64)) |
| 34.0ms | 256× | 0 | valid |
Compiled 33 to 12 computations (63.6% saved)
ival-pow: 18.0ms (68.9% of total)ival-mult: 5.0ms (19.1% of total)ival-sqrt: 3.0ms (11.5% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 x #s(literal 1 binary64)) |
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 3/4 binary64))) |
(sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) |
(*.f64 #s(literal 2 binary64) (sqrt.f64 x)) |
(sqrt.f64 x) |
| Outputs |
|---|
x |
(* x (sqrt 2)) |
(* (pow (* 1 x) 1/4) (sqrt 2)) |
(* 2 (sqrt x)) |
(sqrt x) |
(* -1 (* (pow -1 1/4) (* (* x (sqrt 2)) (sqrt (sqrt -1))))) |
(* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2))) |
(* -2 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 23.0ms | x | @ | 0 | ((* x 1) (* (sqrt (* 2 (sqrt x))) (pow x 3/4)) (sqrt (* 2 (sqrt x))) (* 2 (sqrt x)) (sqrt x)) |
| 19.0ms | x | @ | -inf | ((* x 1) (* (sqrt (* 2 (sqrt x))) (pow x 3/4)) (sqrt (* 2 (sqrt x))) (* 2 (sqrt x)) (sqrt x)) |
| 8.0ms | x | @ | inf | ((* x 1) (* (sqrt (* 2 (sqrt x))) (pow x 3/4)) (sqrt (* 2 (sqrt x))) (* 2 (sqrt x)) (sqrt x)) |
| 1× | egg-herbie |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 47 |
| 1 | 59 | 47 |
| 2 | 160 | 46 |
| 3 | 432 | 46 |
| 4 | 815 | 46 |
| 5 | 1122 | 46 |
| 6 | 1388 | 46 |
| 7 | 1505 | 46 |
| 8 | 1594 | 46 |
| 9 | 1630 | 46 |
| 10 | 1635 | 46 |
| 11 | 1635 | 46 |
| 12 | 1748 | 46 |
| 0 | 1748 | 46 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
x |
(* x (sqrt 2)) |
(* (pow (* 1 x) 1/4) (sqrt 2)) |
(* 2 (sqrt x)) |
(sqrt x) |
(* -1 (* (pow -1 1/4) (* (* x (sqrt 2)) (sqrt (sqrt -1))))) |
(* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2))) |
(* -2 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
| Outputs |
|---|
x |
(* x (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(* (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 #s(literal 2 binary64) (sqrt.f64 x)) |
(sqrt x) |
(sqrt.f64 x) |
(* -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)) (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 #s(literal 2 binary64) (sqrt.f64 x)) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 23 |
| 0 | 16 | 21 |
| 1 | 34 | 21 |
| 2 | 87 | 18 |
| 3 | 300 | 16 |
| 4 | 1684 | 16 |
| 0 | 8285 | 16 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 x #s(literal 1 binary64)) |
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 3/4 binary64))) |
(sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) |
(*.f64 #s(literal 2 binary64) (sqrt.f64 x)) |
(sqrt.f64 x) |
| Outputs |
|---|
(*.f64 (pow.f64 (pow.f64 x #s(literal 7/8 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 1/8 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 7/16 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 x #s(literal 9/16 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 9/16 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 x #s(literal 7/16 binary64)) #s(literal 1 binary64))) |
(*.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 7/16 binary64)) (pow.f64 x #s(literal 9/16 binary64))) |
(*.f64 (pow.f64 x #s(literal 9/16 binary64)) (pow.f64 x #s(literal 7/16 binary64))) |
(*.f64 (pow.f64 x #s(literal 5/8 binary64)) (pow.f64 x #s(literal 3/8 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (pow.f64 (pow.f64 x #s(literal 7/8 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (pow.f64 x #s(literal 7/8 binary64))) |
(*.f64 (pow.f64 x #s(literal 3/16 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 1/4 binary64)) (pow.f64 x #s(literal 3/4 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 (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 3 binary64))) (pow.f64 (log.f64 x) #s(literal -2 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 (*.f64 (exp.f64 #s(literal 1/2 binary64)) (exp.f64 #s(literal 1/2 binary64))) (log.f64 x)) |
(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 (pow.f64 x #s(literal 1/8 binary64)) #s(literal 8 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1/2 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 (fma.f64 #s(literal 3/8 binary64) (log.f64 x) (*.f64 #s(literal 1/4 binary64) (log.f64 x))) (*.f64 #s(literal 3/8 binary64) (log.f64 x)))) |
(exp.f64 (+.f64 (fma.f64 #s(literal 1/4 binary64) (log.f64 x) (*.f64 #s(literal 3/8 binary64) (log.f64 x))) (*.f64 #s(literal 3/8 binary64) (log.f64 x)))) |
(exp.f64 (fma.f64 #s(literal 3/8 binary64) (log.f64 x) (fma.f64 #s(literal 3/8 binary64) (log.f64 x) (*.f64 #s(literal 1/4 binary64) (log.f64 x))))) |
(exp.f64 (fma.f64 #s(literal 3/8 binary64) (log.f64 x) (fma.f64 #s(literal 1/4 binary64) (log.f64 x) (*.f64 #s(literal 3/8 binary64) (log.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 #s(literal 1/4 binary64) (log.f64 x)) #s(literal 4 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 2 binary64))) |
(exp.f64 (log.f64 x)) |
x |
(*.f64 (exp.f64 (fma.f64 (log.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 0 binary64))) (pow.f64 x #s(literal 3/4 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 x #s(literal 7/8 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 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))) |
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 7/8 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) (pow.f64 x #s(literal 1/8 binary64))) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) |
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 7/8 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) (pow.f64 x #s(literal 1/8 binary64))) |
(*.f64 (*.f64 x (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 x #s(literal 1/8 binary64))) (pow.f64 x #s(literal 1/8 binary64))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 3/8 binary64)) (*.f64 (pow.f64 x #s(literal 5/16 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))) (*.f64 (pow.f64 x #s(literal 5/16 binary64)) (pow.f64 #s(literal 4 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 (pow.f64 x #s(literal 9/16 binary64)) (*.f64 (pow.f64 x #s(literal 7/16 binary64)) (sqrt.f64 #s(literal 2 binary64)))) |
(*.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 x #s(literal 7/8 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64))) |
(*.f64 (pow.f64 x #s(literal 5/8 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 3/8 binary64)))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 3/8 binary64))) (pow.f64 x #s(literal 5/8 binary64))) |
(*.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 (*.f64 (pow.f64 x #s(literal 5/16 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) (*.f64 (*.f64 (pow.f64 x #s(literal 5/16 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) (pow.f64 x #s(literal 3/8 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 (*.f64 #s(literal 4 binary64) x) #s(literal 1/16 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/16 binary64)) (*.f64 (pow.f64 x #s(literal 7/8 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))))) |
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 x #s(literal 1/8 binary64)) (*.f64 (pow.f64 x #s(literal 7/8 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 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 x #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 x #s(literal 7/8 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))))) |
(*.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 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 x #s(literal 1/4 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 (*.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)) (*.f64 (pow.f64 x #s(literal 7/8 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))) |
(*.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 1/4 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 3/4 binary64)))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(*.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 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1 binary64)) |
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))))) |
(*.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 (*.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3/4 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 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64)) |
(pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x)) #s(literal 2 binary64)) |
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))) |
(sqrt.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64))) |
(exp.f64 (+.f64 (fma.f64 #s(literal 3/16 binary64) (log.f64 x) (*.f64 (log.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) (fma.f64 #s(literal 3/16 binary64) (log.f64 x) (*.f64 #s(literal 3/8 binary64) (log.f64 x))))) |
(exp.f64 (+.f64 (fma.f64 #s(literal 3/16 binary64) (log.f64 x) (*.f64 (log.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) (fma.f64 #s(literal 3/8 binary64) (log.f64 x) (*.f64 #s(literal 3/16 binary64) (log.f64 x))))) |
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(*.f64 (pow.f64 (pow.f64 x #s(literal 7/8 binary64)) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/16 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 7/16 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 x #s(literal 9/16 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 9/16 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 x #s(literal 7/16 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 13/16 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 x #s(literal 3/16 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 5/8 binary64)) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 3/16 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/16 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 x #s(literal 13/16 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (neg.f64 (pow.f64 x #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 x #s(literal 1/16 binary64)) (sqrt.f64 (pow.f64 x #s(literal 7/8 binary64)))) |
(*.f64 (pow.f64 x #s(literal 1/16 binary64)) (pow.f64 (pow.f64 x #s(literal 7/8 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3/8 binary64))) |
(*.f64 (pow.f64 x #s(literal 3/16 binary64)) (sqrt.f64 (pow.f64 x #s(literal 5/8 binary64)))) |
(*.f64 (pow.f64 x #s(literal 3/16 binary64)) (pow.f64 (pow.f64 x #s(literal 5/8 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 x #s(literal 3/8 binary64)) (pow.f64 x #s(literal 1/8 binary64))) |
(*.f64 (sqrt.f64 x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (log.f64 x))) |
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (sqrt.f64 x))) |
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (neg.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (pow.f64 (neg.f64 (log.f64 x)) #s(literal -1 binary64))) |
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (pow.f64 (log.f64 x) #s(literal -2 binary64))) |
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (pow.f64 (log.f64 x) #s(literal -1 binary64))) |
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 x)) |
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/8 binary64)) |
(pow.f64 (pow.f64 x #s(literal 1/8 binary64)) #s(literal 4 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (sqrt.f64 x) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 1/2 binary64)) |
(/.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 0 binary64) (log.f64 x))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (neg.f64 (log.f64 x))))) |
(/.f64 (sqrt.f64 x) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 0 binary64) (log.f64 x)))) |
(/.f64 (sqrt.f64 x) #s(literal 1 binary64)) |
(sqrt.f64 x) |
(fabs.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))) |
(fabs.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (neg.f64 (pow.f64 x #s(literal 1/4 binary64))))) |
(fabs.f64 (neg.f64 (sqrt.f64 x))) |
(fabs.f64 (sqrt.f64 x)) |
(exp.f64 (fma.f64 #s(literal 3/8 binary64) (log.f64 x) (*.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 x)) #s(literal 1/2 binary64)))) |
(exp.f64 (fma.f64 #s(literal 3/8 binary64) (log.f64 x) (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 1/4 binary64)))) |
(exp.f64 (fma.f64 #s(literal 3/8 binary64) (log.f64 x) (*.f64 (log.f64 x) #s(literal 1/8 binary64)))) |
(exp.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 x)) #s(literal 1/2 binary64) (*.f64 #s(literal 3/8 binary64) (log.f64 x)))) |
(exp.f64 (fma.f64 (log.f64 (sqrt.f64 x)) #s(literal 1/4 binary64) (*.f64 #s(literal 3/8 binary64) (log.f64 x)))) |
(exp.f64 (fma.f64 (log.f64 x) #s(literal 1/8 binary64) (*.f64 #s(literal 3/8 binary64) (log.f64 x)))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 1/2 binary64))) (log.f64 x))) |
(exp.f64 (log.f64 (sqrt.f64 x))) |
Compiled 3 206 to 732 computations (77.2% saved)
8 alts after pruning (1 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 242 | 1 | 243 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 1 | 2 |
| Done | 0 | 6 | 6 |
| Total | 243 | 8 | 251 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.1% | (*.f64 (pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64)) x) |
| ✓ | 99.6% | (*.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)) |
| ✓ | 99.4% | (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 3/4 binary64))) |
| ✓ | 99.4% | (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
| ✓ | 53.0% | (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 x) x) (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) |
| ✓ | 53.2% | (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))) |
| 20.3% | x |
Compiled 160 to 102 computations (36.3% saved)
| Inputs |
|---|
x |
(*.f64 x #s(literal 1 binary64)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))) |
(*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x)) |
(sqrt.f64 (*.f64 (*.f64 (sqrt.f64 x) x) (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) |
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (sqrt.f64 x) #s(literal 4 binary64)))) |
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 3/4 binary64))) |
(*.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 (*.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3/4 binary64))) |
(*.f64 (pow.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3/4 binary64))) |
(pow.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x)) #s(literal 2 binary64)) |
| 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)) |
4 calls:
| 6.0ms | (*.f64 x x) |
| 5.0ms | x |
| 4.0ms | (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))) |
| 4.0ms | (*.f64 #s(literal 2 binary64) (*.f64 x x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 1 | x |
| 99.6% | 1 | (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))) |
| 99.6% | 1 | (*.f64 #s(literal 2 binary64) (*.f64 x x)) |
| 99.6% | 1 | (*.f64 x x) |
Compiled 15 to 12 computations (20% saved)
| Inputs |
|---|
x |
(*.f64 x #s(literal 1 binary64)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))) |
(*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x)) |
(sqrt.f64 (*.f64 (*.f64 (sqrt.f64 x) x) (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) |
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (sqrt.f64 x) #s(literal 4 binary64)))) |
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 3/4 binary64))) |
(*.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)) |
4 calls:
| 5.0ms | (*.f64 #s(literal 2 binary64) (*.f64 x x)) |
| 4.0ms | x |
| 3.0ms | (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))) |
| 3.0ms | (*.f64 x x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 1 | x |
| 99.5% | 1 | (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))) |
| 99.5% | 1 | (*.f64 #s(literal 2 binary64) (*.f64 x x)) |
| 99.5% | 1 | (*.f64 x x) |
Compiled 15 to 12 computations (20% saved)
| Inputs |
|---|
x |
(*.f64 x #s(literal 1 binary64)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))) |
| Outputs |
|---|
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
4 calls:
| 2.0ms | x |
| 2.0ms | (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))) |
| 2.0ms | (*.f64 #s(literal 2 binary64) (*.f64 x x)) |
| 2.0ms | (*.f64 x x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.4% | 1 | x |
| 99.4% | 1 | (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))) |
| 99.4% | 1 | (*.f64 #s(literal 2 binary64) (*.f64 x x)) |
| 99.4% | 1 | (*.f64 x x) |
Compiled 15 to 12 computations (20% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
x |
(*.f64 x #s(literal 1 binary64)) |
| Outputs |
|---|
x |
4 calls:
| 7.0ms | (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))) |
| 1.0ms | x |
| 1.0ms | (*.f64 #s(literal 2 binary64) (*.f64 x x)) |
| 1.0ms | (*.f64 x x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 20.3% | 1 | x |
| 20.3% | 1 | (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))) |
| 20.3% | 1 | (*.f64 #s(literal 2 binary64) (*.f64 x x)) |
| 20.3% | 1 | (*.f64 x x) |
Compiled 15 to 12 computations (20% 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: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 14 |
| 0 | 8 | 14 |
| 1 | 17 | 13 |
| 2 | 46 | 12 |
| 3 | 123 | 12 |
| 4 | 580 | 12 |
| 5 | 3914 | 12 |
| 0 | 8179 | 12 |
| 0 | 26 | 80 |
| 0 | 42 | 88 |
| 1 | 107 | 81 |
| 2 | 325 | 53 |
| 3 | 1188 | 40 |
| 4 | 6524 | 40 |
| 0 | 8313 | 40 |
| 0 | 10 | 23 |
| 0 | 16 | 21 |
| 1 | 34 | 21 |
| 2 | 87 | 18 |
| 3 | 300 | 16 |
| 4 | 1684 | 16 |
| 0 | 8285 | 16 |
| 0 | 21 | 80 |
| 0 | 37 | 69 |
| 1 | 84 | 69 |
| 2 | 228 | 59 |
| 3 | 815 | 59 |
| 4 | 4635 | 59 |
| 0 | 8114 | 59 |
| 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 102 to 72 computations (29.4% saved)
Compiled 72 to 60 computations (16.7% saved)
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