
Time bar (total: 20.9s)
| 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)
| 1.1s | 8 256× | 0 | valid |
ival-mult: 138.0ms (64.8% of total)ival-sqrt: 62.0ms (29.1% of total)ival-true: 6.0ms (2.8% of total)exact: 5.0ms (2.3% of total)ival-assert: 3.0ms (1.4% of total)| 1× | egg-herbie |
| 30× | associate-*r* |
| 28× | distribute-rgt-neg-in |
| 28× | associate-*l* |
| 24× | distribute-lft-neg-in |
| 24× | neg-sub0 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 17 |
| 1 | 21 | 13 |
| 2 | 62 | 13 |
| 3 | 149 | 13 |
| 4 | 214 | 13 |
| 5 | 231 | 13 |
| 6 | 233 | 13 |
| 0 | 5 | 6 |
| 1 | 9 | 6 |
| 2 | 10 | 6 |
| 0 | 10 | 6 |
| 1× | iter limit |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
(sqrt (* (* 2 x) x)) |
| Outputs |
|---|
(sqrt (* (* 2 x) x)) |
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))) |
(abs x)
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 137 | 0 | - | 5 | (1.8397579362874557e-156) | (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 #s(literal 2 binary64) x) x) |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 2 binary64) x) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
sqrt.f64 | (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) | uflow-rescue | 67 | 0 |
| ↳ | (*.f64 (*.f64 #s(literal 2 binary64) x) x) | underflow | 67 | |
sqrt.f64 | (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) | oflow-rescue | 65 | 0 |
| ↳ | (*.f64 (*.f64 #s(literal 2 binary64) x) x) | overflow | 65 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 132 | 5 |
| - | 0 | 119 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 132 | 0 | 5 |
| - | 0 | 0 | 119 |
| number | freq |
|---|---|
| 0 | 124 |
| 1 | 132 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 28.0ms | 512× | 0 | valid |
Compiled 50 to 24 computations (52% saved)
ival-sqrt: 7.0ms (50.3% of total)ival-mult: 6.0ms (43.1% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Compiled 1 to 1 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 51.7% | (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
Compiled 7 to 5 computations (28.6% saved)
| 1× | egg-herbie |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 #s(literal 2 binary64) x) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 #s(literal 2 binary64) x) x) |
| ✓ | cost-diff | 0 | (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
| 14× | *-lowering-*.f32 |
| 14× | *-lowering-*.f64 |
| 4× | *-commutative |
| 2× | sqrt-lowering-sqrt.f64 |
| 2× | associate-*r* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 16 |
| 1 | 9 | 16 |
| 2 | 10 | 16 |
| 0 | 10 | 16 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(sqrt (* (* 2 x) x)) |
(* (* 2 x) x) |
(* 2 x) |
2 |
x |
| Outputs |
|---|
(sqrt (* (* 2 x) x)) |
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))) |
(* (* 2 x) x) |
(*.f64 #s(literal 2 binary64) (*.f64 x x)) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
2 |
#s(literal 2 binary64) |
x |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 (*.f64 #s(literal 2 binary64) x) x) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 2 binary64) x) |
| ✓ | accuracy | 51.7% | (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
| 11.0ms | 256× | 0 | valid |
Compiled 18 to 7 computations (61.1% saved)
ival-mult: 3.0ms (54.6% of total)ival-sqrt: 2.0ms (36.4% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (sqrt (* (* 2 x) x))> |
#<alt (* (* 2 x) x)> |
#<alt (* 2 x)> |
| Outputs |
|---|
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* -1 (* x (sqrt 2)))> |
#<alt (* -1 (* x (sqrt 2)))> |
#<alt (* -1 (* x (sqrt 2)))> |
#<alt (* -1 (* x (sqrt 2)))> |
#<alt (* 2 (pow x 2))> |
#<alt (* 2 (pow x 2))> |
#<alt (* 2 (pow x 2))> |
#<alt (* 2 (pow x 2))> |
#<alt (* 2 (pow x 2))> |
#<alt (* 2 (pow x 2))> |
#<alt (* 2 (pow x 2))> |
#<alt (* 2 (pow x 2))> |
#<alt (* 2 (pow x 2))> |
#<alt (* 2 (pow x 2))> |
#<alt (* 2 (pow x 2))> |
#<alt (* 2 (pow x 2))> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (sqrt (* (* 2 x) x)) |
| 1.0ms | x | @ | inf | (* (* 2 x) x) |
| 0.0ms | x | @ | inf | (sqrt (* (* 2 x) x)) |
| 0.0ms | x | @ | 0 | (* (* 2 x) x) |
| 0.0ms | x | @ | -inf | (* 2 x) |
| 1× | batch-egg-rewrite |
| 5 230× | *-lowering-*.f32 |
| 5 230× | *-lowering-*.f64 |
| 3 666× | /-lowering-/.f32 |
| 3 666× | /-lowering-/.f64 |
| 3 090× | accelerator-lowering-fma.f32 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 14 |
| 1 | 14 | 14 |
| 2 | 35 | 13 |
| 3 | 89 | 12 |
| 4 | 348 | 12 |
| 5 | 2065 | 12 |
| 0 | 8669 | 12 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(sqrt (* (* 2 x) x)) |
(* (* 2 x) x) |
(* 2 x) |
| Outputs |
|---|
(exp.f64 (log.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (*.f64 #s(literal 2 binary64) x))) #s(literal 1/8 binary64)) #s(literal 4 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4 binary64))))) #s(literal 1/8 binary64))) |
(sqrt.f64 (*.f64 x (*.f64 #s(literal 2 binary64) x))) |
(/.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x))))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)))))) |
(/.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log.f64 (/.f64 (*.f64 x x) #s(literal 2 binary64))))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (log.f64 (/.f64 (*.f64 x x) #s(literal 2 binary64)))))) |
(/.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (/.f64 x (*.f64 #s(literal 2 binary64) x))))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (log.f64 (/.f64 x (*.f64 #s(literal 2 binary64) x)))))) |
(/.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) x)))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) x))))) |
(pow.f64 (*.f64 x (*.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 (*.f64 x (*.f64 #s(literal 2 binary64) x)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4 binary64))) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 (*.f64 x (*.f64 #s(literal 2 binary64) x)) #s(literal 1/8 binary64)) #s(literal 4 binary64)) |
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 x (*.f64 #s(literal 2 binary64) x)))) |
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 (log.f64 (*.f64 x (*.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64))) |
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (+.f64 (/.f64 (log.f64 (*.f64 x (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64)) (/.f64 (log.f64 (*.f64 x (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64)))) |
(pow.f64 (pow.f64 (*.f64 x (*.f64 #s(literal 2 binary64) x)) #s(literal 1/16 binary64)) #s(literal 8 binary64)) |
(pow.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4 binary64)))) #s(literal 1/8 binary64)) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 (log.f64 (*.f64 x (*.f64 #s(literal 2 binary64) x))) #s(literal 1/4 binary64))) |
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 x (*.f64 #s(literal 2 binary64) x))))) |
(pow.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 (*.f64 x (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64)))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (fma.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 (*.f64 x x)) (log.f64 (/.f64 (*.f64 x x) #s(literal 2 binary64))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) |
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (fma.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 #s(literal 4 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))))) |
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) x)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) |
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 x) (log.f64 (/.f64 x (*.f64 #s(literal 2 binary64) x))) (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))))) |
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 (log.f64 (*.f64 x (*.f64 #s(literal 2 binary64) x))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x))))) |
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 (log.f64 (*.f64 x (*.f64 #s(literal 2 binary64) x))) (log.f64 (/.f64 (*.f64 x x) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (*.f64 x x) #s(literal 2 binary64))))) |
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 (log.f64 (*.f64 x (*.f64 #s(literal 2 binary64) x))) (log.f64 (/.f64 x (*.f64 #s(literal 2 binary64) x))))) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (*.f64 #s(literal 2 binary64) x))))) |
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 (log.f64 (*.f64 x (*.f64 #s(literal 2 binary64) x))) (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) x)))) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) x)))) |
(pow.f64 (*.f64 (exp.f64 #s(literal 1/4 binary64)) (exp.f64 #s(literal 1/4 binary64))) (log.f64 (*.f64 x (*.f64 #s(literal 2 binary64) x)))) |
(pow.f64 (*.f64 (*.f64 x (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 x (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4 binary64))))) #s(literal 1/8 binary64)) |
(pow.f64 (*.f64 (*.f64 x #s(literal 4 binary64)) (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64)) |
(pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64)) |
(pow.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64)) |
(pow.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 4 binary64) x)) #s(literal 1/4 binary64)) |
(pow.f64 (*.f64 (*.f64 (*.f64 x (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4 binary64)))) (*.f64 x (*.f64 #s(literal 2 binary64) x))) #s(literal 1/8 binary64)) |
(pow.f64 (*.f64 (exp.f64 #s(literal 1/2 binary64)) (exp.f64 #s(literal 1/2 binary64))) (/.f64 (log.f64 (*.f64 x (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))) |
(*.f64 x (sqrt.f64 #s(literal 2 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 (pow.f64 (*.f64 x (*.f64 #s(literal 2 binary64) x)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 x (*.f64 #s(literal 2 binary64) x)) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))) |
(*.f64 (sqrt.f64 (sqrt.f64 x)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 x (sqrt.f64 x))))) |
(*.f64 (sqrt.f64 (sqrt.f64 x)) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4 binary64))))) #s(literal 1/8 binary64))) |
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal 2 binary64) x)))) |
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (*.f64 (*.f64 x (sqrt.f64 x)) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)) (pow.f64 (*.f64 x (*.f64 x (*.f64 #s(literal 2 binary64) x))) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (*.f64 x (*.f64 #s(literal 2 binary64) x)) #s(literal 1/8 binary64)) (pow.f64 (*.f64 x (*.f64 #s(literal 2 binary64) x)) #s(literal 3/8 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 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))) |
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (*.f64 (sqrt.f64 (sqrt.f64 x)) (pow.f64 (*.f64 x (*.f64 #s(literal 2 binary64) x)) #s(literal 3/8 binary64)))) |
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 x (sqrt.f64 x)))))) |
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 (*.f64 x (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4 binary64))))) #s(literal 1/8 binary64))) |
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) (*.f64 #s(literal 2 binary64) x)))) |
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/8 binary64)) (pow.f64 (*.f64 x (*.f64 x (*.f64 #s(literal 2 binary64) x))) #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/8 binary64)) (pow.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4 binary64))))) #s(literal 1/8 binary64))) |
(*.f64 (pow.f64 (*.f64 x (*.f64 #s(literal 2 binary64) x)) #s(literal 1/16 binary64)) (pow.f64 (*.f64 x (*.f64 #s(literal 2 binary64) x)) #s(literal 7/16 binary64))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (*.f64 x (sqrt.f64 x)))) |
(*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (sqrt.f64 x)))) |
(*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) |
(*.f64 (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (*.f64 x (*.f64 x (*.f64 #s(literal 2 binary64) x))) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 x (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x))) |
(*.f64 (pow.f64 (*.f64 x (*.f64 #s(literal 2 binary64) x)) #s(literal 3/8 binary64)) (pow.f64 (*.f64 x (*.f64 #s(literal 2 binary64) x)) #s(literal 1/8 binary64))) |
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))) (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (*.f64 #s(literal 2 binary64) x)))) |
(*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 (*.f64 x (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64)))) (exp.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 (*.f64 x (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))))) |
(*.f64 (*.f64 (pow.f64 (*.f64 x (*.f64 x (*.f64 #s(literal 2 binary64) x))) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/8 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/8 binary64))) |
(*.f64 (*.f64 (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (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 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 x (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) |
(*.f64 (pow.f64 (*.f64 (*.f64 (*.f64 x (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4 binary64)))) #s(literal 2 binary64)) #s(literal 1/8 binary64)) (sqrt.f64 (sqrt.f64 x))) |
(*.f64 (*.f64 (pow.f64 (*.f64 x (*.f64 #s(literal 2 binary64) x)) #s(literal 3/8 binary64)) (sqrt.f64 (sqrt.f64 x))) (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 (*.f64 x (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4 binary64)))) x) #s(literal 1/8 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/8 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 (*.f64 x (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4 binary64)))) (*.f64 #s(literal 2 binary64) x)) #s(literal 1/8 binary64)) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) |
(*.f64 (pow.f64 (*.f64 x (*.f64 #s(literal 2 binary64) x)) #s(literal 7/16 binary64)) (pow.f64 (*.f64 x (*.f64 #s(literal 2 binary64) x)) #s(literal 1/16 binary64))) |
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 (*.f64 x (sqrt.f64 x)))) |
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x))) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x))) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (*.f64 x (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) |
(exp.f64 (log.f64 (*.f64 x (*.f64 #s(literal 2 binary64) x)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64))) |
(/.f64 (exp.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x))))) (exp.f64 (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)))))) |
(/.f64 (exp.f64 (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log.f64 (/.f64 (*.f64 x x) #s(literal 2 binary64))))) (exp.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (log.f64 (/.f64 (*.f64 x x) #s(literal 2 binary64)))))) |
(/.f64 (exp.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (/.f64 x (*.f64 #s(literal 2 binary64) x))))) (exp.f64 (/.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (log.f64 (/.f64 x (*.f64 #s(literal 2 binary64) x)))))) |
(/.f64 (exp.f64 (/.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) x)))) (exp.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) x))))) |
(pow.f64 (*.f64 x (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) |
(pow.f64 (exp.f64 (fma.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 (*.f64 x x)) (log.f64 (/.f64 (*.f64 x x) #s(literal 2 binary64))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) |
(pow.f64 (exp.f64 (fma.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 #s(literal 4 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))))) |
(pow.f64 (exp.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) x)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) |
(pow.f64 (exp.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 x) (log.f64 (/.f64 x (*.f64 #s(literal 2 binary64) x))) (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))))) |
(pow.f64 (exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 #s(literal 2 binary64) x))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x))))) |
(pow.f64 (exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 #s(literal 2 binary64) x))) (log.f64 (/.f64 (*.f64 x x) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (*.f64 x x) #s(literal 2 binary64))))) |
(pow.f64 (exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 #s(literal 2 binary64) x))) (log.f64 (/.f64 x (*.f64 #s(literal 2 binary64) x))))) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (*.f64 #s(literal 2 binary64) x))))) |
(pow.f64 (exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 #s(literal 2 binary64) x))) (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) x)))) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) x)))) |
(*.f64 #s(literal 2 binary64) (*.f64 x x)) |
(*.f64 x (*.f64 #s(literal 2 binary64) x)) |
(*.f64 (*.f64 #s(literal 2 binary64) x) x) |
(*.f64 (*.f64 x x) #s(literal 2 binary64)) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 2 binary64) x))) |
(*.f64 (sqrt.f64 x) (*.f64 (*.f64 x (sqrt.f64 x)) #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 (sqrt.f64 x)) (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) (*.f64 #s(literal 2 binary64) x))) |
(*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) (*.f64 (sqrt.f64 (sqrt.f64 x)) (*.f64 #s(literal 2 binary64) x))) |
(*.f64 (*.f64 x (sqrt.f64 x)) (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) |
(*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) (*.f64 x (sqrt.f64 x))) |
(*.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 x))) (sqrt.f64 x)) |
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 x)) (sqrt.f64 x)) |
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (*.f64 x (sqrt.f64 x)))) |
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (*.f64 x (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x))) |
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) x))) |
(*.f64 #s(literal 2 binary64) x) |
(*.f64 x #s(literal 2 binary64)) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 (sqrt.f64 x)) (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) (*.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 2 binary64))) |
(*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 x)) |
(*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (*.f64 x (sqrt.f64 x)))) |
(*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x))) |
| 1× | egg-herbie |
| 38× | *-lowering-*.f32 |
| 38× | *-lowering-*.f64 |
| 38× | accelerator-lowering-fma.f32 |
| 38× | accelerator-lowering-fma.f64 |
| 36× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 148 |
| 1 | 17 | 148 |
| 2 | 32 | 148 |
| 3 | 36 | 148 |
| 4 | 40 | 148 |
| 5 | 52 | 148 |
| 6 | 64 | 148 |
| 7 | 75 | 148 |
| 8 | 95 | 148 |
| 9 | 100 | 148 |
| 0 | 100 | 148 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* -1 (* x (sqrt 2))) |
(* -1 (* x (sqrt 2))) |
(* -1 (* x (sqrt 2))) |
(* -1 (* x (sqrt 2))) |
(* 2 (pow x 2)) |
(* 2 (pow x 2)) |
(* 2 (pow x 2)) |
(* 2 (pow x 2)) |
(* 2 (pow x 2)) |
(* 2 (pow x 2)) |
(* 2 (pow x 2)) |
(* 2 (pow x 2)) |
(* 2 (pow x 2)) |
(* 2 (pow x 2)) |
(* 2 (pow x 2)) |
(* 2 (pow x 2)) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
| Outputs |
|---|
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* -1 (* x (sqrt 2))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 x)) |
(* -1 (* x (sqrt 2))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 x)) |
(* -1 (* x (sqrt 2))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 x)) |
(* -1 (* x (sqrt 2))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 x)) |
(* 2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 2 binary64))) |
(* 2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 2 binary64))) |
(* 2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 2 binary64))) |
(* 2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 2 binary64))) |
(* 2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 2 binary64))) |
(* 2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 2 binary64))) |
(* 2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 2 binary64))) |
(* 2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 2 binary64))) |
(* 2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 2 binary64))) |
(* 2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 2 binary64))) |
(* 2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 2 binary64))) |
(* 2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 2 binary64))) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
Compiled 2 080 to 350 computations (83.2% saved)
7 alts after pruning (6 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 148 | 6 | 154 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 148 | 7 | 155 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.3% | (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))) |
| 99.5% | (*.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 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))) | |
| ▶ | 63.9% | (*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))) |
| ▶ | 64.0% | (*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x))) |
| ▶ | 99.5% | (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 x)) |
| ▶ | 99.4% | (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
| ✓ | 51.7% | (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
Compiled 137 to 93 computations (32.1% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) |
| ✓ | cost-diff | 0 | (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) |
| ✓ | cost-diff | 12608 | (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 2 binary64) x) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (sqrt.f64 x))) |
| ✓ | cost-diff | 0 | (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (sqrt.f64 x)))) |
| ✓ | cost-diff | 0 | (*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 2 binary64) x) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 x)) |
| ✓ | cost-diff | 0 | (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 x))) |
| ✓ | cost-diff | 0 | (*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x))) |
| ✓ | 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 #s(literal 2 binary64) x) |
| ✓ | cost-diff | 0 | (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) |
| ✓ | cost-diff | 0 | (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 x)) |
| 70× | *-lowering-*.f32 |
| 70× | *-lowering-*.f64 |
| 28× | *-commutative |
| 16× | sqrt-lowering-sqrt.f64 |
| 16× | associate-*r* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 130 |
| 1 | 36 | 130 |
| 2 | 52 | 130 |
| 3 | 58 | 130 |
| 4 | 58 | 130 |
| 0 | 58 | 130 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(* (sqrt (* 2 x)) (sqrt x)) |
(sqrt (* 2 x)) |
(* 2 x) |
2 |
x |
(sqrt x) |
(* (sqrt 2) x) |
(sqrt 2) |
2 |
x |
(* (sqrt (* (* 2 x) (sqrt x))) (sqrt (sqrt x))) |
(sqrt (* (* 2 x) (sqrt x))) |
(* (* 2 x) (sqrt x)) |
(* 2 x) |
2 |
x |
(sqrt x) |
(sqrt (sqrt x)) |
(* (sqrt (* (* 2 x) (sqrt (sqrt x)))) (sqrt (sqrt (* x (sqrt x))))) |
(sqrt (* (* 2 x) (sqrt (sqrt x)))) |
(* (* 2 x) (sqrt (sqrt x))) |
(* 2 x) |
2 |
x |
(sqrt (sqrt x)) |
(sqrt x) |
(sqrt (sqrt (* x (sqrt x)))) |
(sqrt (* x (sqrt x))) |
(* x (sqrt x)) |
(* (pow 2 1/4) (* x (pow 2 1/4))) |
(pow 2 1/4) |
2 |
1/4 |
(* x (pow 2 1/4)) |
x |
| Outputs |
|---|
(* (sqrt (* 2 x)) (sqrt x)) |
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 x)) |
(sqrt (* 2 x)) |
(sqrt.f64 (*.f64 #s(literal 2 binary64) x)) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
2 |
#s(literal 2 binary64) |
x |
(sqrt x) |
(sqrt.f64 x) |
(* (sqrt 2) x) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(sqrt 2) |
(sqrt.f64 #s(literal 2 binary64)) |
2 |
#s(literal 2 binary64) |
x |
(* (sqrt (* (* 2 x) (sqrt x))) (sqrt (sqrt x))) |
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x))) |
(sqrt (* (* 2 x) (sqrt x))) |
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 x)))) |
(* (* 2 x) (sqrt x)) |
(*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 x))) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
2 |
#s(literal 2 binary64) |
x |
(sqrt x) |
(sqrt.f64 x) |
(sqrt (sqrt x)) |
(sqrt.f64 (sqrt.f64 x)) |
(* (sqrt (* (* 2 x) (sqrt (sqrt x)))) (sqrt (sqrt (* x (sqrt x))))) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))) |
(sqrt (* (* 2 x) (sqrt (sqrt x)))) |
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (sqrt.f64 x)))) |
(* (* 2 x) (sqrt (sqrt x))) |
(*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (sqrt.f64 x))) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
2 |
#s(literal 2 binary64) |
x |
(sqrt (sqrt x)) |
(sqrt.f64 (sqrt.f64 x)) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt (sqrt (* x (sqrt x)))) |
(sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))) |
(sqrt (* x (sqrt x))) |
(sqrt.f64 (*.f64 x (sqrt.f64 x))) |
(* x (sqrt x)) |
(*.f64 x (sqrt.f64 x)) |
(* (pow 2 1/4) (* x (pow 2 1/4))) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(pow 2 1/4) |
(pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) |
2 |
#s(literal 2 binary64) |
1/4 |
#s(literal 1/4 binary64) |
(* x (pow 2 1/4)) |
(*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) |
x |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) |
| ✓ | accuracy | 99.6% | (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) |
| ✓ | accuracy | 99.5% | (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))) |
| ✓ | accuracy | 99.7% | (*.f64 x (sqrt.f64 x)) |
| ✓ | accuracy | 99.5% | (*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))) |
| ✓ | accuracy | 78.4% | (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (sqrt.f64 x)))) |
| ✓ | accuracy | 63.3% | (sqrt.f64 (*.f64 x (sqrt.f64 x))) |
| ✓ | accuracy | 99.8% | (sqrt.f64 (sqrt.f64 x)) |
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 x)) |
| ✓ | accuracy | 99.5% | (*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x))) |
| ✓ | accuracy | 63.2% | (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 x))) |
| ✓ | accuracy | 100.0% | (sqrt.f64 #s(literal 2 binary64)) |
| ✓ | accuracy | 99.4% | (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 2 binary64) x) |
| ✓ | accuracy | 100.0% | (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) |
| ✓ | accuracy | 100.0% | (sqrt.f64 x) |
| ✓ | accuracy | 99.5% | (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 x)) |
| 53.0ms | 256× | 0 | valid |
Compiled 137 to 24 computations (82.5% saved)
ival-mult: 14.0ms (43.2% of total)ival-sqrt: 14.0ms (43.2% of total)ival-pow: 3.0ms (9.3% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* (sqrt (* 2 x)) (sqrt x))> |
#<alt (sqrt (* 2 x))> |
#<alt (* 2 x)> |
#<alt (sqrt x)> |
#<alt (* (sqrt 2) x)> |
#<alt (sqrt 2)> |
#<alt (* (sqrt (* (* 2 x) (sqrt x))) (sqrt (sqrt x)))> |
#<alt (sqrt (* (* 2 x) (sqrt x)))> |
#<alt (* (* 2 x) (sqrt x))> |
#<alt (* (sqrt (* (* 2 x) (sqrt (sqrt x)))) (sqrt (sqrt (* x (sqrt x)))))> |
#<alt (sqrt (* (* 2 x) (sqrt (sqrt x))))> |
#<alt (* (* 2 x) (sqrt (sqrt x)))> |
#<alt (* (pow 2 1/4) (* x (pow 2 1/4)))> |
#<alt (pow 2 1/4)> |
#<alt (* x (pow 2 1/4))> |
#<alt (sqrt (sqrt x))> |
#<alt (sqrt (* x (sqrt x)))> |
#<alt (* x (sqrt x))> |
| Outputs |
|---|
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* -1 (* x (* (sqrt -2) (sqrt -1))))> |
#<alt (* -1 (* x (* (sqrt -2) (sqrt -1))))> |
#<alt (* -1 (* x (* (sqrt -2) (sqrt -1))))> |
#<alt (* -1 (* x (* (sqrt -2) (sqrt -1))))> |
#<alt (* (sqrt x) (sqrt 2))> |
#<alt (* (sqrt x) (sqrt 2))> |
#<alt (* (sqrt x) (sqrt 2))> |
#<alt (* (sqrt x) (sqrt 2))> |
#<alt (* (sqrt x) (sqrt 2))> |
#<alt (* (sqrt x) (sqrt 2))> |
#<alt (* (sqrt x) (sqrt 2))> |
#<alt (* (sqrt x) (sqrt 2))> |
#<alt (* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))> |
#<alt (* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))> |
#<alt (* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))> |
#<alt (* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* -1 (* x (* (sqrt -2) (sqrt -1))))> |
#<alt (* -1 (* x (* (sqrt -2) (sqrt -1))))> |
#<alt (* -1 (* x (* (sqrt -2) (sqrt -1))))> |
#<alt (* -1 (* x (* (sqrt -2) (sqrt -1))))> |
#<alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))> |
#<alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))> |
#<alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))> |
#<alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))> |
#<alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))> |
#<alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))> |
#<alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))> |
#<alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))> |
#<alt (* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1))))> |
#<alt (* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1))))> |
#<alt (* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1))))> |
#<alt (* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1))))> |
#<alt (* 2 (sqrt (pow x 3)))> |
#<alt (* 2 (sqrt (pow x 3)))> |
#<alt (* 2 (sqrt (pow x 3)))> |
#<alt (* 2 (sqrt (pow x 3)))> |
#<alt (* 2 (sqrt (pow x 3)))> |
#<alt (* 2 (sqrt (pow x 3)))> |
#<alt (* 2 (sqrt (pow x 3)))> |
#<alt (* 2 (sqrt (pow x 3)))> |
#<alt (* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))> |
#<alt (* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))> |
#<alt (* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))> |
#<alt (* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* -1 (* x (* (sqrt -2) (sqrt -1))))> |
#<alt (* -1 (* x (* (sqrt -2) (sqrt -1))))> |
#<alt (* -1 (* x (* (sqrt -2) (sqrt -1))))> |
#<alt (* -1 (* x (* (sqrt -2) (sqrt -1))))> |
#<alt (* (pow (* 1 (pow x 5)) 1/8) (sqrt 2))> |
#<alt (* (pow (* 1 (pow x 5)) 1/8) (sqrt 2))> |
#<alt (* (pow (* 1 (pow x 5)) 1/8) (sqrt 2))> |
#<alt (* (pow (* 1 (pow x 5)) 1/8) (sqrt 2))> |
#<alt (* (pow (* 1 (pow x 5)) 1/8) (sqrt 2))> |
#<alt (* (pow (* 1 (pow x 5)) 1/8) (sqrt 2))> |
#<alt (* (pow (* 1 (pow x 5)) 1/8) (sqrt 2))> |
#<alt (* (pow (* 1 (pow x 5)) 1/8) (sqrt 2))> |
#<alt (* (pow (* -1 (pow x 5)) 1/8) (* (pow (* 1 (sqrt -1)) 1/4) (sqrt -2)))> |
#<alt (* (pow (* -1 (pow x 5)) 1/8) (* (pow (* 1 (sqrt -1)) 1/4) (sqrt -2)))> |
#<alt (* (pow (* -1 (pow x 5)) 1/8) (* (pow (* 1 (sqrt -1)) 1/4) (sqrt -2)))> |
#<alt (* (pow (* -1 (pow x 5)) 1/8) (* (pow (* 1 (sqrt -1)) 1/4) (sqrt -2)))> |
#<alt (* 2 (pow (* 1 (pow x 5)) 1/4))> |
#<alt (* 2 (pow (* 1 (pow x 5)) 1/4))> |
#<alt (* 2 (pow (* 1 (pow x 5)) 1/4))> |
#<alt (* 2 (pow (* 1 (pow x 5)) 1/4))> |
#<alt (* 2 (pow (* 1 (pow x 5)) 1/4))> |
#<alt (* 2 (pow (* 1 (pow x 5)) 1/4))> |
#<alt (* 2 (pow (* 1 (pow x 5)) 1/4))> |
#<alt (* 2 (pow (* 1 (pow x 5)) 1/4))> |
#<alt (* -2 (* (pow (* -1 (pow x 5)) 1/4) (sqrt (sqrt -1))))> |
#<alt (* -2 (* (pow (* -1 (pow x 5)) 1/4) (sqrt (sqrt -1))))> |
#<alt (* -2 (* (pow (* -1 (pow x 5)) 1/4) (sqrt (sqrt -1))))> |
#<alt (* -2 (* (pow (* -1 (pow x 5)) 1/4) (sqrt (sqrt -1))))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* (pow 2 1/4) x)> |
#<alt (* (pow 2 1/4) x)> |
#<alt (* (pow 2 1/4) x)> |
#<alt (* (pow 2 1/4) x)> |
#<alt (* (pow 2 1/4) x)> |
#<alt (* (pow 2 1/4) x)> |
#<alt (* (pow 2 1/4) x)> |
#<alt (* (pow 2 1/4) x)> |
#<alt (* (pow 2 1/4) x)> |
#<alt (* (pow 2 1/4) x)> |
#<alt (* (pow 2 1/4) x)> |
#<alt (* (pow 2 1/4) x)> |
#<alt (pow (* 1 x) 1/4)> |
#<alt (pow (* 1 x) 1/4)> |
#<alt (pow (* 1 x) 1/4)> |
#<alt (pow (* 1 x) 1/4)> |
#<alt (pow (* 1 x) 1/4)> |
#<alt (pow (* 1 x) 1/4)> |
#<alt (pow (* 1 x) 1/4)> |
#<alt (pow (* 1 x) 1/4)> |
#<alt (* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))> |
#<alt (* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))> |
#<alt (* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))> |
#<alt (* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))> |
#<alt (pow (* 1 (pow x 3)) 1/4)> |
#<alt (pow (* 1 (pow x 3)) 1/4)> |
#<alt (pow (* 1 (pow x 3)) 1/4)> |
#<alt (pow (* 1 (pow x 3)) 1/4)> |
#<alt (pow (* 1 (pow x 3)) 1/4)> |
#<alt (pow (* 1 (pow x 3)) 1/4)> |
#<alt (pow (* 1 (pow x 3)) 1/4)> |
#<alt (pow (* 1 (pow x 3)) 1/4)> |
#<alt (* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))> |
#<alt (* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))> |
#<alt (* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))> |
#<alt (* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))> |
#<alt (sqrt (pow x 3))> |
#<alt (sqrt (pow x 3))> |
#<alt (sqrt (pow x 3))> |
#<alt (sqrt (pow x 3))> |
#<alt (sqrt (pow x 3))> |
#<alt (sqrt (pow x 3))> |
#<alt (sqrt (pow x 3))> |
#<alt (sqrt (pow x 3))> |
#<alt (* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))> |
48 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 33.0ms | x | @ | 0 | (* (sqrt (* (* 2 x) (sqrt (sqrt x)))) (sqrt (sqrt (* x (sqrt x))))) |
| 32.0ms | x | @ | 0 | (* x (pow 2 1/4)) |
| 29.0ms | x | @ | 0 | (sqrt (* (* 2 x) (sqrt x))) |
| 21.0ms | x | @ | -inf | (sqrt (* (* 2 x) (sqrt (sqrt x)))) |
| 12.0ms | x | @ | -inf | (* (sqrt (* (* 2 x) (sqrt (sqrt x)))) (sqrt (sqrt (* x (sqrt x))))) |
| 1× | batch-egg-rewrite |
| 6 098× | *-lowering-*.f32 |
| 6 098× | *-lowering-*.f64 |
| 5 528× | accelerator-lowering-fma.f32 |
| 5 528× | accelerator-lowering-fma.f64 |
| 1 852× | +-lowering-+.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 89 |
| 1 | 63 | 85 |
| 2 | 188 | 70 |
| 3 | 758 | 70 |
| 4 | 3779 | 70 |
| 0 | 10200 | 70 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (sqrt (* 2 x)) (sqrt x)) |
(sqrt (* 2 x)) |
(* 2 x) |
(sqrt x) |
(* (sqrt 2) x) |
(sqrt 2) |
(* (sqrt (* (* 2 x) (sqrt x))) (sqrt (sqrt x))) |
(sqrt (* (* 2 x) (sqrt x))) |
(* (* 2 x) (sqrt x)) |
(* (sqrt (* (* 2 x) (sqrt (sqrt x)))) (sqrt (sqrt (* x (sqrt x))))) |
(sqrt (* (* 2 x) (sqrt (sqrt x)))) |
(* (* 2 x) (sqrt (sqrt x))) |
(* (pow 2 1/4) (* x (pow 2 1/4))) |
(pow 2 1/4) |
(* x (pow 2 1/4)) |
(sqrt (sqrt x)) |
(sqrt (* x (sqrt x))) |
(* x (sqrt x)) |
| Outputs |
|---|
(exp.f64 (+.f64 (log.f64 x) (*.f64 #s(literal 1/4 binary64) (log.f64 #s(literal 4 binary64))))) |
(exp.f64 (fma.f64 #s(literal 1/4 binary64) (log.f64 #s(literal 4 binary64)) (log.f64 x))) |
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))))) |
(exp.f64 (fma.f64 #s(literal 1/8 binary64) (log.f64 x) (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (*.f64 x (sqrt.f64 x))))))))) |
(exp.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (*.f64 x (sqrt.f64 x)))))) (*.f64 #s(literal 1/8 binary64) (log.f64 x)))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1/4 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (*.f64 x x))) #s(literal 1/4 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 4 binary64) (*.f64 x x)))) #s(literal 1/4 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x (*.f64 #s(literal 4 binary64) (*.f64 x x))) x)) #s(literal 1/4 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x (*.f64 #s(literal 4 binary64) (*.f64 x x))))) #s(literal 1/4 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (*.f64 x (sqrt.f64 x)))) #s(literal 1/4 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 4 binary64) (*.f64 x x))))) #s(literal 1/4 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) (*.f64 #s(literal 2 binary64) (*.f64 x x)))) #s(literal 1/4 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))) #s(literal 1/4 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (log.f64 x) (*.f64 #s(literal 1/8 binary64) (log.f64 (*.f64 x (*.f64 #s(literal 4 binary64) (*.f64 x x)))))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (log.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 #s(literal 1/4 binary64) (log.f64 x))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (log.f64 (*.f64 x (*.f64 #s(literal 4 binary64) (*.f64 x x)))) (*.f64 #s(literal 1/8 binary64) (log.f64 x))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (fma.f64 #s(literal 3/16 binary64) (log.f64 x) (*.f64 #s(literal 1/8 binary64) (log.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal 4 binary64) (*.f64 x x)))))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 x) (*.f64 #s(literal 1/4 binary64) (log.f64 #s(literal 2 binary64)))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 x))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (log.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal 4 binary64) (*.f64 x x)))) (*.f64 #s(literal 3/16 binary64) (log.f64 x))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (log.f64 x) (*.f64 #s(literal 1/4 binary64) (log.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal 2 binary64))) |
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))) |
(pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))) #s(literal 4 binary64)) |
(pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (*.f64 x x)) #s(literal 1/4 binary64)) |
(pow.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 4 binary64) (*.f64 x x))) #s(literal 1/4 binary64)) |
(pow.f64 (*.f64 (*.f64 x (*.f64 #s(literal 4 binary64) (*.f64 x x))) x) #s(literal 1/4 binary64)) |
(pow.f64 (*.f64 x (*.f64 x (*.f64 #s(literal 4 binary64) (*.f64 x x)))) #s(literal 1/4 binary64)) |
(pow.f64 (*.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (*.f64 x (sqrt.f64 x))) #s(literal 1/4 binary64)) |
(pow.f64 (*.f64 (*.f64 x (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 4 binary64) (*.f64 x x)))) #s(literal 1/4 binary64)) |
(pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) (*.f64 #s(literal 2 binary64) (*.f64 x x))) #s(literal 1/4 binary64)) |
(pow.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (sqrt.f64 (sqrt.f64 x))) #s(literal 4 binary64)) |
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 #s(literal 2 binary64) x))) |
(*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x)))))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x))) |
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 x))))) |
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))) |
(*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))) |
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (sqrt.f64 x)))))) |
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))) |
(*.f64 (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 3/8 binary64)))) |
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(pow.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 4 binary64) (*.f64 x x))) #s(literal 1/4 binary64)) |
(pow.f64 (*.f64 (*.f64 x (*.f64 #s(literal 4 binary64) (*.f64 x x))) x) #s(literal 1/4 binary64)) |
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(fabs.f64 (neg.f64 (sqrt.f64 (sqrt.f64 x)))) |
(fabs.f64 (neg.f64 (neg.f64 (sqrt.f64 (sqrt.f64 x))))) |
(fabs.f64 (*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (neg.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))) |
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))) |
(sqrt.f64 (sqrt.f64 x)) |
(pow.f64 x #s(literal 1/4 binary64)) |
(pow.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 1 binary64)) |
(pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1/8 binary64)) |
(pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) #s(literal 4 binary64)) |
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (log.f64 x)) |
(pow.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/16 binary64)) |
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.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 (exp.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (log.f64 x))) |
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 x))) |
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (log.f64 x)) |
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 x))) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/8 binary64) (log.f64 x))) |
(pow.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 #s(literal 1/4 binary64) (log.f64 x))) |
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) |
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))) |
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))))) |
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x))))))) |
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 x (sqrt.f64 x)))) #s(literal 1/8 binary64))) |
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (*.f64 x (sqrt.f64 x)))))))) |
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))) (fabs.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 x (sqrt.f64 x)))) #s(literal 1/8 binary64)))) |
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))))) |
(*.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (neg.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))) |
(*.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 (log.f64 x) #s(literal 3/8 binary64))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 1/8 binary64) (log.f64 x)))) |
(*.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 1/8 binary64) (log.f64 x))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 (log.f64 x) #s(literal 3/8 binary64)))) |
(*.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 x) #s(literal 5/4 binary64)))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 3/16 binary64) (log.f64 x)))) |
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (*.f64 x (sqrt.f64 x))))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))) |
(*.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) (*.f64 x (*.f64 x (sqrt.f64 x))))) #s(literal 1/4 binary64))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))))))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 3/4 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (log.f64 x)) #s(literal 6 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 3/16 binary64) (log.f64 x)) #s(literal 4 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 3/8 binary64))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 1/2 binary64))) (*.f64 (log.f64 x) #s(literal 3/2 binary64)))) |
(fabs.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))) |
(fabs.f64 (neg.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))) |
(fabs.f64 (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 (sqrt.f64 x))))) |
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 x))) |
(fabs.f64 (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))) (neg.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))))) |
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))))) |
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))))) |
(fabs.f64 (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))) (neg.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))) |
(sqrt.f64 (*.f64 x (sqrt.f64 x))) |
(pow.f64 x #s(literal 3/4 binary64)) |
(pow.f64 (sqrt.f64 x) #s(literal 3/2 binary64)) |
(pow.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 3 binary64)) |
(pow.f64 (*.f64 x (sqrt.f64 x)) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) #s(literal 1 binary64)) |
(pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))) #s(literal 2 binary64)) |
(pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) #s(literal 6 binary64)) |
(pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))) #s(literal 4 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 3/8 binary64)) |
(pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64)) |
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (*.f64 #s(literal 3 binary64) (log.f64 x))) |
(pow.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/8 binary64)) |
(pow.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 3/16 binary64)) |
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 (log.f64 x) #s(literal 3/2 binary64))) |
(pow.f64 (exp.f64 #s(literal 3/2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 x))) |
(pow.f64 (exp.f64 #s(literal 3/2 binary64)) (/.f64 (log.f64 x) #s(literal 2 binary64))) |
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) (log.f64 x)) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal 3/8 binary64))) |
(pow.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 (log.f64 x) #s(literal 3/4 binary64))) |
(pow.f64 (exp.f64 #s(literal 3/4 binary64)) (log.f64 x)) |
(pow.f64 (exp.f64 #s(literal 3 binary64)) (*.f64 #s(literal 1/4 binary64) (log.f64 x))) |
(*.f64 (sqrt.f64 x) (sqrt.f64 (sqrt.f64 x))) |
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))) |
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x))))) |
(*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) |
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))) (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))) |
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))))) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 x (sqrt.f64 x)))) #s(literal 3/8 binary64))) |
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))))) (pow.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 x (sqrt.f64 x)))) #s(literal 1/8 binary64)) #s(literal 3 binary64))) |
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))))) (sqrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 x (sqrt.f64 x)))) #s(literal 3/4 binary64)))) |
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))))) (fabs.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 x (sqrt.f64 x)))) #s(literal 3/8 binary64)))) |
(*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))))) |
(*.f64 (pow.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x))) #s(literal 3/8 binary64)) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))))) |
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x))))) #s(literal 3/2 binary64)) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))))) |
(*.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))) (neg.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))))) |
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))))) #s(literal 3 binary64)) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))))) |
(*.f64 (sqrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x))) #s(literal 3/4 binary64))) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))))) |
(*.f64 (fabs.f64 (pow.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x))) #s(literal 3/8 binary64))) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))))) |
(*.f64 (fabs.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x))))) #s(literal 3/2 binary64))) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 3/2 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 x)) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 x)) #s(literal 6 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 3/2 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 3/4 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 3/8 binary64)) #s(literal 4 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 3/4 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 1/4 binary64))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 3/2 binary64))) (log.f64 x))) |
(fabs.f64 (*.f64 x (sqrt.f64 x))) |
(sqrt.f64 (*.f64 x (*.f64 x x))) |
(pow.f64 x #s(literal 3/2 binary64)) |
(pow.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(pow.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 6 binary64)) |
(pow.f64 (*.f64 x (sqrt.f64 x)) #s(literal 1 binary64)) |
(pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) #s(literal 2 binary64)) |
(pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))) #s(literal 4 binary64)) |
(pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) #s(literal 12 binary64)) |
(pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))) #s(literal 8 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 3/4 binary64)) |
(pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64)) |
(pow.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 3/8 binary64)) |
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 3 binary64) (log.f64 x))) |
(pow.f64 (exp.f64 #s(literal 3/2 binary64)) (log.f64 x)) |
(pow.f64 (pow.f64 (exp.f64 #s(literal 3/2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 x))) |
(pow.f64 (pow.f64 (exp.f64 #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 x))) |
(pow.f64 (pow.f64 (exp.f64 #s(literal 3/2 binary64)) #s(literal 1 binary64)) (log.f64 x)) |
(*.f64 x (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) x) |
(*.f64 (sqrt.f64 (sqrt.f64 x)) (*.f64 x (sqrt.f64 (sqrt.f64 x)))) |
(*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) (sqrt.f64 (*.f64 x (sqrt.f64 x)))) |
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))) (*.f64 x (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))) |
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))) (pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))) #s(literal 3 binary64))) |
(*.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x))) |
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 x (sqrt.f64 x)))) #s(literal 3/4 binary64))) |
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))) (pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (*.f64 x (sqrt.f64 x)))))) #s(literal 3 binary64))) |
(*.f64 (*.f64 x (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))) |
(*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))) (pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x))))) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x))) #s(literal 3/4 binary64)) (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))) |
(*.f64 (pow.f64 (exp.f64 #s(literal 3/2 binary64)) (*.f64 (log.f64 x) #s(literal 3/4 binary64))) (pow.f64 (exp.f64 #s(literal 3/2 binary64)) (*.f64 #s(literal 1/4 binary64) (log.f64 x)))) |
(*.f64 (pow.f64 (exp.f64 #s(literal 3/2 binary64)) (*.f64 #s(literal 1/4 binary64) (log.f64 x))) (pow.f64 (exp.f64 #s(literal 3/2 binary64)) (*.f64 (log.f64 x) #s(literal 3/4 binary64)))) |
(*.f64 (pow.f64 (exp.f64 #s(literal 3/2 binary64)) (*.f64 #s(literal 1/8 binary64) (log.f64 x))) (pow.f64 (exp.f64 #s(literal 3/2 binary64)) (*.f64 #s(literal 7/8 binary64) (log.f64 x)))) |
(*.f64 (pow.f64 (exp.f64 #s(literal 3/2 binary64)) (*.f64 #s(literal 5/8 binary64) (log.f64 x))) (pow.f64 (exp.f64 #s(literal 3/2 binary64)) (*.f64 (log.f64 x) #s(literal 3/8 binary64)))) |
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))) #s(literal 3 binary64)) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))) |
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x))))) #s(literal 3 binary64)) (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))) |
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (*.f64 x (sqrt.f64 x)))))) #s(literal 3 binary64)) (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))))) |
(*.f64 (pow.f64 (pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) (*.f64 x (*.f64 x (sqrt.f64 x))))) #s(literal 1/4 binary64)) #s(literal 3 binary64)) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))))) |
| 1× | egg-herbie |
| 3 440× | *-lowering-*.f32 |
| 3 440× | *-lowering-*.f64 |
| 3 332× | accelerator-lowering-fma.f32 |
| 3 332× | accelerator-lowering-fma.f64 |
| 3 188× | associate-*r* |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 63 | 1088 |
| 1 | 134 | 1088 |
| 2 | 318 | 1084 |
| 3 | 530 | 1084 |
| 4 | 904 | 1084 |
| 5 | 1450 | 1084 |
| 6 | 1954 | 1084 |
| 7 | 2078 | 1084 |
| 8 | 2244 | 1084 |
| 9 | 2474 | 1084 |
| 10 | 2608 | 1084 |
| 11 | 3106 | 1084 |
| 12 | 3416 | 1084 |
| 13 | 3511 | 1084 |
| 14 | 3575 | 1084 |
| 15 | 3630 | 1084 |
| 16 | 3660 | 1084 |
| 17 | 3668 | 1084 |
| 18 | 3668 | 1084 |
| 19 | 3668 | 1084 |
| 20 | 3784 | 1084 |
| 21 | 3832 | 1084 |
| 22 | 3832 | 1084 |
| 23 | 4248 | 1084 |
| 24 | 5998 | 1084 |
| 25 | 6673 | 1084 |
| 26 | 6880 | 1084 |
| 27 | 6914 | 1084 |
| 28 | 6926 | 1084 |
| 29 | 7104 | 1084 |
| 30 | 7272 | 1084 |
| 31 | 7356 | 1084 |
| 32 | 7368 | 1084 |
| 33 | 7368 | 1084 |
| 34 | 7368 | 1084 |
| 0 | 8187 | 1084 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* -1 (* x (* (sqrt -2) (sqrt -1)))) |
(* -1 (* x (* (sqrt -2) (sqrt -1)))) |
(* -1 (* x (* (sqrt -2) (sqrt -1)))) |
(* -1 (* x (* (sqrt -2) (sqrt -1)))) |
(* (sqrt x) (sqrt 2)) |
(* (sqrt x) (sqrt 2)) |
(* (sqrt x) (sqrt 2)) |
(* (sqrt x) (sqrt 2)) |
(* (sqrt x) (sqrt 2)) |
(* (sqrt x) (sqrt 2)) |
(* (sqrt x) (sqrt 2)) |
(* (sqrt x) (sqrt 2)) |
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1)))) |
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1)))) |
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1)))) |
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1)))) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* -1 (* x (* (sqrt -2) (sqrt -1)))) |
(* -1 (* x (* (sqrt -2) (sqrt -1)))) |
(* -1 (* x (* (sqrt -2) (sqrt -1)))) |
(* -1 (* x (* (sqrt -2) (sqrt -1)))) |
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) |
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) |
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) |
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) |
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) |
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) |
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) |
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) |
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1)))) |
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1)))) |
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1)))) |
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1)))) |
(* 2 (sqrt (pow x 3))) |
(* 2 (sqrt (pow x 3))) |
(* 2 (sqrt (pow x 3))) |
(* 2 (sqrt (pow x 3))) |
(* 2 (sqrt (pow x 3))) |
(* 2 (sqrt (pow x 3))) |
(* 2 (sqrt (pow x 3))) |
(* 2 (sqrt (pow x 3))) |
(* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))) |
(* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))) |
(* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))) |
(* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* -1 (* x (* (sqrt -2) (sqrt -1)))) |
(* -1 (* x (* (sqrt -2) (sqrt -1)))) |
(* -1 (* x (* (sqrt -2) (sqrt -1)))) |
(* -1 (* x (* (sqrt -2) (sqrt -1)))) |
(* (pow (* 1 (pow x 5)) 1/8) (sqrt 2)) |
(* (pow (* 1 (pow x 5)) 1/8) (sqrt 2)) |
(* (pow (* 1 (pow x 5)) 1/8) (sqrt 2)) |
(* (pow (* 1 (pow x 5)) 1/8) (sqrt 2)) |
(* (pow (* 1 (pow x 5)) 1/8) (sqrt 2)) |
(* (pow (* 1 (pow x 5)) 1/8) (sqrt 2)) |
(* (pow (* 1 (pow x 5)) 1/8) (sqrt 2)) |
(* (pow (* 1 (pow x 5)) 1/8) (sqrt 2)) |
(* (pow (* -1 (pow x 5)) 1/8) (* (pow (* 1 (sqrt -1)) 1/4) (sqrt -2))) |
(* (pow (* -1 (pow x 5)) 1/8) (* (pow (* 1 (sqrt -1)) 1/4) (sqrt -2))) |
(* (pow (* -1 (pow x 5)) 1/8) (* (pow (* 1 (sqrt -1)) 1/4) (sqrt -2))) |
(* (pow (* -1 (pow x 5)) 1/8) (* (pow (* 1 (sqrt -1)) 1/4) (sqrt -2))) |
(* 2 (pow (* 1 (pow x 5)) 1/4)) |
(* 2 (pow (* 1 (pow x 5)) 1/4)) |
(* 2 (pow (* 1 (pow x 5)) 1/4)) |
(* 2 (pow (* 1 (pow x 5)) 1/4)) |
(* 2 (pow (* 1 (pow x 5)) 1/4)) |
(* 2 (pow (* 1 (pow x 5)) 1/4)) |
(* 2 (pow (* 1 (pow x 5)) 1/4)) |
(* 2 (pow (* 1 (pow x 5)) 1/4)) |
(* -2 (* (pow (* -1 (pow x 5)) 1/4) (sqrt (sqrt -1)))) |
(* -2 (* (pow (* -1 (pow x 5)) 1/4) (sqrt (sqrt -1)))) |
(* -2 (* (pow (* -1 (pow x 5)) 1/4) (sqrt (sqrt -1)))) |
(* -2 (* (pow (* -1 (pow x 5)) 1/4) (sqrt (sqrt -1)))) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* (pow 2 1/4) x) |
(* (pow 2 1/4) x) |
(* (pow 2 1/4) x) |
(* (pow 2 1/4) x) |
(* (pow 2 1/4) x) |
(* (pow 2 1/4) x) |
(* (pow 2 1/4) x) |
(* (pow 2 1/4) x) |
(* (pow 2 1/4) x) |
(* (pow 2 1/4) x) |
(* (pow 2 1/4) x) |
(* (pow 2 1/4) x) |
(pow (* 1 x) 1/4) |
(pow (* 1 x) 1/4) |
(pow (* 1 x) 1/4) |
(pow (* 1 x) 1/4) |
(pow (* 1 x) 1/4) |
(pow (* 1 x) 1/4) |
(pow (* 1 x) 1/4) |
(pow (* 1 x) 1/4) |
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1))) |
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1))) |
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1))) |
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1))) |
(pow (* 1 (pow x 3)) 1/4) |
(pow (* 1 (pow x 3)) 1/4) |
(pow (* 1 (pow x 3)) 1/4) |
(pow (* 1 (pow x 3)) 1/4) |
(pow (* 1 (pow x 3)) 1/4) |
(pow (* 1 (pow x 3)) 1/4) |
(pow (* 1 (pow x 3)) 1/4) |
(pow (* 1 (pow x 3)) 1/4) |
(* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3))) |
(* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3))) |
(* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3))) |
(* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3))) |
(sqrt (pow x 3)) |
(sqrt (pow x 3)) |
(sqrt (pow x 3)) |
(sqrt (pow x 3)) |
(sqrt (pow x 3)) |
(sqrt (pow x 3)) |
(sqrt (pow x 3)) |
(sqrt (pow x 3)) |
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))) |
| Outputs |
|---|
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* -1 (* x (* (sqrt -2) (sqrt -1)))) |
(*.f64 x (neg.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) |
(* -1 (* x (* (sqrt -2) (sqrt -1)))) |
(*.f64 x (neg.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) |
(* -1 (* x (* (sqrt -2) (sqrt -1)))) |
(*.f64 x (neg.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) |
(* -1 (* x (* (sqrt -2) (sqrt -1)))) |
(*.f64 x (neg.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) |
(* (sqrt x) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)) |
(* (sqrt x) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)) |
(* (sqrt x) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)) |
(* (sqrt x) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)) |
(* (sqrt x) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)) |
(* (sqrt x) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)) |
(* (sqrt x) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)) |
(* (sqrt x) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)) |
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1)))) |
(*.f64 (sqrt.f64 x) (neg.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) |
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1)))) |
(*.f64 (sqrt.f64 x) (neg.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) |
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1)))) |
(*.f64 (sqrt.f64 x) (neg.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) |
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1)))) |
(*.f64 (sqrt.f64 x) (neg.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* -1 (* x (* (sqrt -2) (sqrt -1)))) |
(*.f64 x (neg.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) |
(* -1 (* x (* (sqrt -2) (sqrt -1)))) |
(*.f64 x (neg.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) |
(* -1 (* x (* (sqrt -2) (sqrt -1)))) |
(*.f64 x (neg.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) |
(* -1 (* x (* (sqrt -2) (sqrt -1)))) |
(*.f64 x (neg.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) |
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64))) |
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64))) |
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64))) |
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64))) |
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64))) |
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64))) |
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64))) |
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64))) |
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1)))) |
(*.f64 (pow.f64 (*.f64 x (*.f64 x (neg.f64 x))) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))))) |
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1)))) |
(*.f64 (pow.f64 (*.f64 x (*.f64 x (neg.f64 x))) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))))) |
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1)))) |
(*.f64 (pow.f64 (*.f64 x (*.f64 x (neg.f64 x))) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))))) |
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1)))) |
(*.f64 (pow.f64 (*.f64 x (*.f64 x (neg.f64 x))) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))))) |
(* 2 (sqrt (pow x 3))) |
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (*.f64 x x)))) |
(* 2 (sqrt (pow x 3))) |
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (*.f64 x x)))) |
(* 2 (sqrt (pow x 3))) |
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (*.f64 x x)))) |
(* 2 (sqrt (pow x 3))) |
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (*.f64 x x)))) |
(* 2 (sqrt (pow x 3))) |
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (*.f64 x x)))) |
(* 2 (sqrt (pow x 3))) |
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (*.f64 x x)))) |
(* 2 (sqrt (pow x 3))) |
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (*.f64 x x)))) |
(* 2 (sqrt (pow x 3))) |
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (*.f64 x x)))) |
(* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))) |
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (*.f64 x x)))) |
(* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))) |
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (*.f64 x x)))) |
(* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))) |
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (*.f64 x x)))) |
(* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))) |
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (*.f64 x x)))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* -1 (* x (* (sqrt -2) (sqrt -1)))) |
(*.f64 x (neg.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) |
(* -1 (* x (* (sqrt -2) (sqrt -1)))) |
(*.f64 x (neg.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) |
(* -1 (* x (* (sqrt -2) (sqrt -1)))) |
(*.f64 x (neg.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) |
(* -1 (* x (* (sqrt -2) (sqrt -1)))) |
(*.f64 x (neg.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) |
(* (pow (* 1 (pow x 5)) 1/8) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/8 binary64))) |
(* (pow (* 1 (pow x 5)) 1/8) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/8 binary64))) |
(* (pow (* 1 (pow x 5)) 1/8) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/8 binary64))) |
(* (pow (* 1 (pow x 5)) 1/8) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/8 binary64))) |
(* (pow (* 1 (pow x 5)) 1/8) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/8 binary64))) |
(* (pow (* 1 (pow x 5)) 1/8) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/8 binary64))) |
(* (pow (* 1 (pow x 5)) 1/8) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/8 binary64))) |
(* (pow (* 1 (pow x 5)) 1/8) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/8 binary64))) |
(* (pow (* -1 (pow x 5)) 1/8) (* (pow (* 1 (sqrt -1)) 1/4) (sqrt -2))) |
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) #s(literal 1/8 binary64)))) |
(* (pow (* -1 (pow x 5)) 1/8) (* (pow (* 1 (sqrt -1)) 1/4) (sqrt -2))) |
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) #s(literal 1/8 binary64)))) |
(* (pow (* -1 (pow x 5)) 1/8) (* (pow (* 1 (sqrt -1)) 1/4) (sqrt -2))) |
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) #s(literal 1/8 binary64)))) |
(* (pow (* -1 (pow x 5)) 1/8) (* (pow (* 1 (sqrt -1)) 1/4) (sqrt -2))) |
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) #s(literal 1/8 binary64)))) |
(* 2 (pow (* 1 (pow x 5)) 1/4)) |
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/4 binary64))) |
(* 2 (pow (* 1 (pow x 5)) 1/4)) |
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/4 binary64))) |
(* 2 (pow (* 1 (pow x 5)) 1/4)) |
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/4 binary64))) |
(* 2 (pow (* 1 (pow x 5)) 1/4)) |
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/4 binary64))) |
(* 2 (pow (* 1 (pow x 5)) 1/4)) |
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/4 binary64))) |
(* 2 (pow (* 1 (pow x 5)) 1/4)) |
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/4 binary64))) |
(* 2 (pow (* 1 (pow x 5)) 1/4)) |
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/4 binary64))) |
(* 2 (pow (* 1 (pow x 5)) 1/4)) |
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/4 binary64))) |
(* -2 (* (pow (* -1 (pow x 5)) 1/4) (sqrt (sqrt -1)))) |
(*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) #s(literal 1/4 binary64)))) |
(* -2 (* (pow (* -1 (pow x 5)) 1/4) (sqrt (sqrt -1)))) |
(*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) #s(literal 1/4 binary64)))) |
(* -2 (* (pow (* -1 (pow x 5)) 1/4) (sqrt (sqrt -1)))) |
(*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) #s(literal 1/4 binary64)))) |
(* -2 (* (pow (* -1 (pow x 5)) 1/4) (sqrt (sqrt -1)))) |
(*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) #s(literal 1/4 binary64)))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* (pow 2 1/4) x) |
(*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) |
(* (pow 2 1/4) x) |
(*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) |
(* (pow 2 1/4) x) |
(*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) |
(* (pow 2 1/4) x) |
(*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) |
(* (pow 2 1/4) x) |
(*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) |
(* (pow 2 1/4) x) |
(*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) |
(* (pow 2 1/4) x) |
(*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) |
(* (pow 2 1/4) x) |
(*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) |
(* (pow 2 1/4) x) |
(*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) |
(* (pow 2 1/4) x) |
(*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) |
(* (pow 2 1/4) x) |
(*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) |
(* (pow 2 1/4) x) |
(*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) |
(pow (* 1 x) 1/4) |
(pow.f64 x #s(literal 1/4 binary64)) |
(pow (* 1 x) 1/4) |
(pow.f64 x #s(literal 1/4 binary64)) |
(pow (* 1 x) 1/4) |
(pow.f64 x #s(literal 1/4 binary64)) |
(pow (* 1 x) 1/4) |
(pow.f64 x #s(literal 1/4 binary64)) |
(pow (* 1 x) 1/4) |
(pow.f64 x #s(literal 1/4 binary64)) |
(pow (* 1 x) 1/4) |
(pow.f64 x #s(literal 1/4 binary64)) |
(pow (* 1 x) 1/4) |
(pow.f64 x #s(literal 1/4 binary64)) |
(pow (* 1 x) 1/4) |
(pow.f64 x #s(literal 1/4 binary64)) |
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1))) |
(*.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (neg.f64 x) #s(literal 1/4 binary64))) |
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1))) |
(*.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (neg.f64 x) #s(literal 1/4 binary64))) |
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1))) |
(*.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (neg.f64 x) #s(literal 1/4 binary64))) |
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1))) |
(*.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (neg.f64 x) #s(literal 1/4 binary64))) |
(pow (* 1 (pow x 3)) 1/4) |
(pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64)) |
(pow (* 1 (pow x 3)) 1/4) |
(pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64)) |
(pow (* 1 (pow x 3)) 1/4) |
(pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64)) |
(pow (* 1 (pow x 3)) 1/4) |
(pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64)) |
(pow (* 1 (pow x 3)) 1/4) |
(pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64)) |
(pow (* 1 (pow x 3)) 1/4) |
(pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64)) |
(pow (* 1 (pow x 3)) 1/4) |
(pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64)) |
(pow (* 1 (pow x 3)) 1/4) |
(pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64)) |
(* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3))) |
(*.f64 (pow.f64 (*.f64 x (*.f64 x (neg.f64 x))) #s(literal 1/4 binary64)) (sqrt.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))))) |
(* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3))) |
(*.f64 (pow.f64 (*.f64 x (*.f64 x (neg.f64 x))) #s(literal 1/4 binary64)) (sqrt.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))))) |
(* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3))) |
(*.f64 (pow.f64 (*.f64 x (*.f64 x (neg.f64 x))) #s(literal 1/4 binary64)) (sqrt.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))))) |
(* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3))) |
(*.f64 (pow.f64 (*.f64 x (*.f64 x (neg.f64 x))) #s(literal 1/4 binary64)) (sqrt.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))))) |
(sqrt (pow x 3)) |
(sqrt.f64 (*.f64 x (*.f64 x x))) |
(sqrt (pow x 3)) |
(sqrt.f64 (*.f64 x (*.f64 x x))) |
(sqrt (pow x 3)) |
(sqrt.f64 (*.f64 x (*.f64 x x))) |
(sqrt (pow x 3)) |
(sqrt.f64 (*.f64 x (*.f64 x x))) |
(sqrt (pow x 3)) |
(sqrt.f64 (*.f64 x (*.f64 x x))) |
(sqrt (pow x 3)) |
(sqrt.f64 (*.f64 x (*.f64 x x))) |
(sqrt (pow x 3)) |
(sqrt.f64 (*.f64 x (*.f64 x x))) |
(sqrt (pow x 3)) |
(sqrt.f64 (*.f64 x (*.f64 x x))) |
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))) |
(sqrt.f64 (*.f64 x (*.f64 x x))) |
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))) |
(sqrt.f64 (*.f64 x (*.f64 x x))) |
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))) |
(sqrt.f64 (*.f64 x (*.f64 x x))) |
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))) |
(sqrt.f64 (*.f64 x (*.f64 x x))) |
Compiled 18 487 to 1 968 computations (89.4% saved)
11 alts after pruning (5 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 215 | 5 | 1 220 |
| Fresh | 1 | 0 | 1 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 216 | 11 | 1 227 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.1% | (*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) x) |
| ✓ | 99.3% | (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))) |
| ▶ | 99.1% | (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))) |
| ▶ | 99.1% | (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x))) |
| ✓ | 63.9% | (*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))) |
| ✓ | 64.0% | (*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x))) |
| ▶ | 98.5% | (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) #s(literal 4 binary64))) |
| ▶ | 99.1% | (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))) |
| ✓ | 99.5% | (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 x)) |
| ✓ | 99.4% | (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
| ✓ | 51.7% | (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
Compiled 176 to 120 computations (31.8% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) x) |
| ✓ | cost-diff | 12288 | (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) #s(literal 4 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 2 binary64) x) |
| ✓ | cost-diff | 0 | (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) |
| ✓ | cost-diff | 0 | (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) #s(literal 4 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 2 binary64) x) |
| ✓ | cost-diff | 0 | (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) |
| ✓ | cost-diff | 0 | (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 x))) |
| ✓ | cost-diff | 2240 | (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x))) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 2 binary64) x) |
| ✓ | cost-diff | 0 | (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) |
| ✓ | cost-diff | 0 | (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))) |
| ✓ | cost-diff | 2240 | (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (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))) (sqrt.f64 x)) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))) |
| 76× | *-lowering-*.f32 |
| 76× | *-lowering-*.f64 |
| 34× | *-commutative |
| 20× | associate-*r* |
| 16× | associate-*l* |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 142 |
| 1 | 35 | 138 |
| 2 | 56 | 135 |
| 3 | 69 | 135 |
| 0 | 69 | 135 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(* (* (sqrt (* 2 (sqrt x))) (sqrt x)) (sqrt (sqrt x))) |
(* (sqrt (* 2 (sqrt x))) (sqrt x)) |
(sqrt (* 2 (sqrt x))) |
(* 2 (sqrt x)) |
2 |
(sqrt x) |
x |
(sqrt (sqrt x)) |
(* (sqrt (* 2 x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) |
(sqrt (* 2 x)) |
(* 2 x) |
2 |
x |
(* (sqrt (sqrt x)) (sqrt (sqrt x))) |
(sqrt (sqrt x)) |
(sqrt x) |
(* (* (sqrt (* 2 x)) (sqrt (sqrt x))) (sqrt (sqrt x))) |
(* (sqrt (* 2 x)) (sqrt (sqrt x))) |
(sqrt (* 2 x)) |
(* 2 x) |
2 |
x |
(sqrt (sqrt x)) |
(sqrt x) |
(* (sqrt (* 2 x)) (pow (sqrt (sqrt (sqrt x))) 4)) |
(sqrt (* 2 x)) |
(* 2 x) |
2 |
x |
(pow (sqrt (sqrt (sqrt x))) 4) |
(sqrt (sqrt (sqrt x))) |
(sqrt (sqrt x)) |
(sqrt x) |
4 |
(* (pow (pow 2 1/4) 2) x) |
(pow (pow 2 1/4) 2) |
(pow 2 1/4) |
2 |
1/4 |
x |
| Outputs |
|---|
(* (* (sqrt (* 2 (sqrt x))) (sqrt x)) (sqrt (sqrt x))) |
(*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x))) |
(* (sqrt (* 2 (sqrt x))) (sqrt x)) |
(*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))) |
(sqrt (* 2 (sqrt x))) |
(sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) |
(* 2 (sqrt x)) |
(*.f64 #s(literal 2 binary64) (sqrt.f64 x)) |
2 |
#s(literal 2 binary64) |
(sqrt x) |
(sqrt.f64 x) |
x |
(sqrt (sqrt x)) |
(sqrt.f64 (sqrt.f64 x)) |
(* (sqrt (* 2 x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) |
(*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 #s(literal 2 binary64) x))) |
(sqrt (* 2 x)) |
(sqrt.f64 (*.f64 #s(literal 2 binary64) x)) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
2 |
#s(literal 2 binary64) |
x |
(* (sqrt (sqrt x)) (sqrt (sqrt x))) |
(sqrt.f64 x) |
(sqrt (sqrt x)) |
(sqrt.f64 (sqrt.f64 x)) |
(sqrt x) |
(sqrt.f64 x) |
(* (* (sqrt (* 2 x)) (sqrt (sqrt x))) (sqrt (sqrt x))) |
(*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 #s(literal 2 binary64) x))) |
(* (sqrt (* 2 x)) (sqrt (sqrt x))) |
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (*.f64 #s(literal 2 binary64) x))) |
(sqrt (* 2 x)) |
(sqrt.f64 (*.f64 #s(literal 2 binary64) x)) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
2 |
#s(literal 2 binary64) |
x |
(sqrt (sqrt x)) |
(sqrt.f64 (sqrt.f64 x)) |
(sqrt x) |
(sqrt.f64 x) |
(* (sqrt (* 2 x)) (pow (sqrt (sqrt (sqrt x))) 4)) |
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) #s(literal 4 binary64))) |
(sqrt (* 2 x)) |
(sqrt.f64 (*.f64 #s(literal 2 binary64) x)) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
2 |
#s(literal 2 binary64) |
x |
(pow (sqrt (sqrt (sqrt x))) 4) |
(pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) #s(literal 4 binary64)) |
(sqrt (sqrt (sqrt x))) |
(sqrt.f64 (sqrt.f64 (sqrt.f64 x))) |
(sqrt (sqrt x)) |
(sqrt.f64 (sqrt.f64 x)) |
(sqrt x) |
(sqrt.f64 x) |
4 |
#s(literal 4 binary64) |
(* (pow (pow 2 1/4) 2) x) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(pow (pow 2 1/4) 2) |
(sqrt.f64 #s(literal 2 binary64)) |
(pow 2 1/4) |
(pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) |
2 |
#s(literal 2 binary64) |
1/4 |
#s(literal 1/4 binary64) |
x |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) |
| ✓ | accuracy | 99.4% | (*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) x) |
| ✓ | accuracy | 98.4% | (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
| ✓ | accuracy | 99.8% | (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) |
| ✓ | accuracy | 99.8% | (sqrt.f64 (sqrt.f64 x)) |
| ✓ | accuracy | 99.5% | (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) #s(literal 4 binary64))) |
| ✓ | accuracy | 98.6% | (pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) #s(literal 4 binary64)) |
| ✓ | accuracy | 100.0% | (sqrt.f64 x) |
| ✓ | accuracy | 99.8% | (sqrt.f64 (sqrt.f64 x)) |
| ✓ | accuracy | 99.5% | (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 x))) |
| ✓ | accuracy | 99.5% | (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x))) |
| ✓ | accuracy | 100.0% | (sqrt.f64 x) |
| ✓ | accuracy | 99.8% | (sqrt.f64 (sqrt.f64 x)) |
| ✓ | accuracy | 99.5% | (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))) |
| ✓ | accuracy | 99.2% | (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))) |
| ✓ | accuracy | 99.8% | (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) |
| ✓ | accuracy | 99.8% | (sqrt.f64 (sqrt.f64 x)) |
| ✓ | accuracy | 99.5% | (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 x)) |
| ✓ | accuracy | 99.5% | (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))) |
| 212.0ms | 256× | 0 | valid |
Compiled 159 to 24 computations (84.9% saved)
ival-pow: 102.0ms (51.8% of total)ival-sqrt: 79.0ms (40.1% of total)ival-mult: 14.0ms (7.1% of total)ival-pow2: 3.0ms (1.5% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* (* (sqrt (* 2 (sqrt x))) (sqrt x)) (sqrt (sqrt x)))> |
#<alt (* (sqrt (* 2 (sqrt x))) (sqrt x))> |
#<alt (sqrt (* 2 (sqrt x)))> |
#<alt (* 2 (sqrt x))> |
#<alt (* (sqrt (sqrt x)) (sqrt (sqrt x)))> |
#<alt (* (sqrt (* 2 x)) (* (sqrt (sqrt x)) (sqrt (sqrt x))))> |
#<alt (sqrt (* 2 x))> |
#<alt (* 2 x)> |
#<alt (* (* (sqrt (* 2 x)) (sqrt (sqrt x))) (sqrt (sqrt x)))> |
#<alt (* (sqrt (* 2 x)) (sqrt (sqrt x)))> |
#<alt (* (sqrt (* 2 x)) (pow (sqrt (sqrt (sqrt x))) 4))> |
#<alt (pow (sqrt (sqrt (sqrt x))) 4)> |
#<alt (pow (pow 2 1/4) 2)> |
#<alt (* (pow (pow 2 1/4) 2) x)> |
#<alt (pow 2 1/4)> |
#<alt (sqrt (sqrt x))> |
#<alt (sqrt x)> |
#<alt (sqrt (sqrt (sqrt x)))> |
| Outputs |
|---|
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))> |
#<alt (* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))> |
#<alt (* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))> |
#<alt (* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))> |
#<alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))> |
#<alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))> |
#<alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))> |
#<alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))> |
#<alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))> |
#<alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))> |
#<alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))> |
#<alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))> |
#<alt (* (pow (* -1 (pow x 3)) 1/4) (* (sqrt (pow (sqrt -1) 3)) (sqrt 2)))> |
#<alt (* (pow (* -1 (pow x 3)) 1/4) (* (sqrt (pow (sqrt -1) 3)) (sqrt 2)))> |
#<alt (* (pow (* -1 (pow x 3)) 1/4) (* (sqrt (pow (sqrt -1) 3)) (sqrt 2)))> |
#<alt (* (pow (* -1 (pow x 3)) 1/4) (* (sqrt (pow (sqrt -1) 3)) (sqrt 2)))> |
#<alt (* (pow (* 1 x) 1/4) (sqrt 2))> |
#<alt (* (pow (* 1 x) 1/4) (sqrt 2))> |
#<alt (* (pow (* 1 x) 1/4) (sqrt 2))> |
#<alt (* (pow (* 1 x) 1/4) (sqrt 2))> |
#<alt (* (pow (* 1 x) 1/4) (sqrt 2))> |
#<alt (* (pow (* 1 x) 1/4) (sqrt 2))> |
#<alt (* (pow (* 1 x) 1/4) (sqrt 2))> |
#<alt (* (pow (* 1 x) 1/4) (sqrt 2))> |
#<alt (* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))> |
#<alt (* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))> |
#<alt (* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))> |
#<alt (* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))> |
#<alt (* 2 (sqrt x))> |
#<alt (* 2 (sqrt x))> |
#<alt (* 2 (sqrt x))> |
#<alt (* 2 (sqrt x))> |
#<alt (* 2 (sqrt x))> |
#<alt (* 2 (sqrt x))> |
#<alt (* 2 (sqrt x))> |
#<alt (* 2 (sqrt x))> |
#<alt (* -2 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -2 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -2 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -2 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* -1 (* x (* (sqrt -2) (sqrt -1))))> |
#<alt (* -1 (* x (* (sqrt -2) (sqrt -1))))> |
#<alt (* -1 (* x (* (sqrt -2) (sqrt -1))))> |
#<alt (* -1 (* x (* (sqrt -2) (sqrt -1))))> |
#<alt (* (sqrt x) (sqrt 2))> |
#<alt (* (sqrt x) (sqrt 2))> |
#<alt (* (sqrt x) (sqrt 2))> |
#<alt (* (sqrt x) (sqrt 2))> |
#<alt (* (sqrt x) (sqrt 2))> |
#<alt (* (sqrt x) (sqrt 2))> |
#<alt (* (sqrt x) (sqrt 2))> |
#<alt (* (sqrt x) (sqrt 2))> |
#<alt (* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))> |
#<alt (* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))> |
#<alt (* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))> |
#<alt (* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* -1 (* x (* (sqrt -2) (sqrt -1))))> |
#<alt (* -1 (* x (* (sqrt -2) (sqrt -1))))> |
#<alt (* -1 (* x (* (sqrt -2) (sqrt -1))))> |
#<alt (* -1 (* x (* (sqrt -2) (sqrt -1))))> |
#<alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))> |
#<alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))> |
#<alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))> |
#<alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))> |
#<alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))> |
#<alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))> |
#<alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))> |
#<alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))> |
#<alt (* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1))))> |
#<alt (* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1))))> |
#<alt (* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1))))> |
#<alt (* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1))))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* -1 (* x (* (sqrt -2) (sqrt -1))))> |
#<alt (* -1 (* x (* (sqrt -2) (sqrt -1))))> |
#<alt (* -1 (* x (* (sqrt -2) (sqrt -1))))> |
#<alt (* -1 (* x (* (sqrt -2) (sqrt -1))))> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (pow (* 1 x) 1/4)> |
#<alt (pow (* 1 x) 1/4)> |
#<alt (pow (* 1 x) 1/4)> |
#<alt (pow (* 1 x) 1/4)> |
#<alt (pow (* 1 x) 1/4)> |
#<alt (pow (* 1 x) 1/4)> |
#<alt (pow (* 1 x) 1/4)> |
#<alt (pow (* 1 x) 1/4)> |
#<alt (* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))> |
#<alt (* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))> |
#<alt (* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))> |
#<alt (* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (pow (* 1 x) 1/8)> |
#<alt (pow (* 1 x) 1/8)> |
#<alt (pow (* 1 x) 1/8)> |
#<alt (pow (* 1 x) 1/8)> |
#<alt (pow (* 1 x) 1/8)> |
#<alt (pow (* 1 x) 1/8)> |
#<alt (pow (* 1 x) 1/8)> |
#<alt (pow (* 1 x) 1/8)> |
#<alt (* (pow (* -1 x) 1/8) (pow (* 1 (sqrt -1)) 1/4))> |
#<alt (* (pow (* -1 x) 1/8) (pow (* 1 (sqrt -1)) 1/4))> |
#<alt (* (pow (* -1 x) 1/8) (pow (* 1 (sqrt -1)) 1/4))> |
#<alt (* (pow (* -1 x) 1/8) (pow (* 1 (sqrt -1)) 1/4))> |
48 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 42.0ms | x | @ | 0 | (* (sqrt (* 2 (sqrt x))) (sqrt x)) |
| 7.0ms | x | @ | 0 | (sqrt (sqrt (sqrt x))) |
| 1.0ms | x | @ | -inf | (* (* (sqrt (* 2 (sqrt x))) (sqrt x)) (sqrt (sqrt x))) |
| 1.0ms | x | @ | -inf | (* (sqrt (* 2 (sqrt x))) (sqrt x)) |
| 1.0ms | x | @ | -inf | (sqrt (* 2 (sqrt x))) |
| 1× | batch-egg-rewrite |
| 1 820× | prod-exp |
| 756× | unpow-prod-down |
| 494× | pow-prod-down |
| 344× | pow-exp |
| 248× | pow-to-exp |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 184 |
| 1 | 72 | 72 |
| 2 | 258 | 72 |
| 3 | 1249 | 18 |
| 0 | 6936 | 18 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (* (sqrt (* 2 (sqrt x))) (sqrt x)) (sqrt (sqrt x))) |
(* (sqrt (* 2 (sqrt x))) (sqrt x)) |
(sqrt (* 2 (sqrt x))) |
(* 2 (sqrt x)) |
(* (sqrt (sqrt x)) (sqrt (sqrt x))) |
(* (sqrt (* 2 x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) |
(sqrt (* 2 x)) |
(* 2 x) |
(* (* (sqrt (* 2 x)) (sqrt (sqrt x))) (sqrt (sqrt x))) |
(* (sqrt (* 2 x)) (sqrt (sqrt x))) |
(* (sqrt (* 2 x)) (pow (sqrt (sqrt (sqrt x))) 4)) |
(pow (sqrt (sqrt (sqrt x))) 4) |
(pow (pow 2 1/4) 2) |
(* (pow (pow 2 1/4) 2) x) |
(pow 2 1/4) |
(sqrt (sqrt x)) |
(sqrt x) |
(sqrt (sqrt (sqrt x))) |
| Outputs |
|---|
#s(literal 1 binary64) |
x |
#s(literal 1 binary64) |
x |
#s(literal 1 binary64) |
x |
#s(literal 2 binary64) |
#s(literal 1 binary64) |
x |
#s(literal 1 binary64) |
x |
#s(literal 1 binary64) |
x |
#s(literal 2 binary64) |
#s(literal 1 binary64) |
x |
#s(literal 1 binary64) |
x |
#s(literal 1 binary64) |
x |
#s(literal 1 binary64) |
x |
#s(literal 1 binary64) |
x |
#s(literal 1 binary64) |
x |
#s(literal 1 binary64) |
x |
#s(literal 1 binary64) |
x |
#s(literal 1 binary64) |
x |
#s(literal 1 binary64) |
x |
| 1× | egg-herbie |
| 3 956× | *-lowering-*.f32 |
| 3 956× | *-lowering-*.f64 |
| 3 568× | accelerator-lowering-fma.f32 |
| 3 568× | accelerator-lowering-fma.f64 |
| 2 004× | distribute-lft-in |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 968 |
| 1 | 120 | 968 |
| 2 | 324 | 964 |
| 3 | 571 | 964 |
| 4 | 854 | 964 |
| 5 | 1534 | 964 |
| 6 | 2085 | 964 |
| 7 | 2273 | 964 |
| 8 | 2425 | 964 |
| 9 | 2545 | 964 |
| 10 | 2594 | 964 |
| 11 | 3077 | 964 |
| 12 | 3287 | 964 |
| 13 | 3287 | 964 |
| 14 | 3287 | 964 |
| 15 | 3287 | 964 |
| 16 | 3287 | 964 |
| 17 | 3966 | 964 |
| 18 | 5648 | 964 |
| 19 | 6104 | 964 |
| 20 | 6104 | 964 |
| 21 | 6688 | 964 |
| 22 | 6772 | 964 |
| 23 | 6972 | 964 |
| 24 | 7012 | 964 |
| 25 | 7012 | 964 |
| 26 | 7012 | 964 |
| 27 | 7012 | 964 |
| 28 | 7012 | 964 |
| 29 | 7911 | 964 |
| 0 | 8151 | 964 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2)))) |
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2)))) |
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2)))) |
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2)))) |
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) |
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) |
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) |
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) |
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) |
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) |
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) |
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) |
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt (pow (sqrt -1) 3)) (sqrt 2))) |
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt (pow (sqrt -1) 3)) (sqrt 2))) |
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt (pow (sqrt -1) 3)) (sqrt 2))) |
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt (pow (sqrt -1) 3)) (sqrt 2))) |
(* (pow (* 1 x) 1/4) (sqrt 2)) |
(* (pow (* 1 x) 1/4) (sqrt 2)) |
(* (pow (* 1 x) 1/4) (sqrt 2)) |
(* (pow (* 1 x) 1/4) (sqrt 2)) |
(* (pow (* 1 x) 1/4) (sqrt 2)) |
(* (pow (* 1 x) 1/4) (sqrt 2)) |
(* (pow (* 1 x) 1/4) (sqrt 2)) |
(* (pow (* 1 x) 1/4) (sqrt 2)) |
(* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2))) |
(* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2))) |
(* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2))) |
(* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2))) |
(* 2 (sqrt x)) |
(* 2 (sqrt x)) |
(* 2 (sqrt x)) |
(* 2 (sqrt x)) |
(* 2 (sqrt x)) |
(* 2 (sqrt x)) |
(* 2 (sqrt x)) |
(* 2 (sqrt x)) |
(* -2 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -2 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -2 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -2 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* -1 (* x (* (sqrt -2) (sqrt -1)))) |
(* -1 (* x (* (sqrt -2) (sqrt -1)))) |
(* -1 (* x (* (sqrt -2) (sqrt -1)))) |
(* -1 (* x (* (sqrt -2) (sqrt -1)))) |
(* (sqrt x) (sqrt 2)) |
(* (sqrt x) (sqrt 2)) |
(* (sqrt x) (sqrt 2)) |
(* (sqrt x) (sqrt 2)) |
(* (sqrt x) (sqrt 2)) |
(* (sqrt x) (sqrt 2)) |
(* (sqrt x) (sqrt 2)) |
(* (sqrt x) (sqrt 2)) |
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1)))) |
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1)))) |
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1)))) |
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1)))) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* -1 (* x (* (sqrt -2) (sqrt -1)))) |
(* -1 (* x (* (sqrt -2) (sqrt -1)))) |
(* -1 (* x (* (sqrt -2) (sqrt -1)))) |
(* -1 (* x (* (sqrt -2) (sqrt -1)))) |
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) |
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) |
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) |
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) |
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) |
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) |
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) |
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) |
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1)))) |
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1)))) |
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1)))) |
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1)))) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* -1 (* x (* (sqrt -2) (sqrt -1)))) |
(* -1 (* x (* (sqrt -2) (sqrt -1)))) |
(* -1 (* x (* (sqrt -2) (sqrt -1)))) |
(* -1 (* x (* (sqrt -2) (sqrt -1)))) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(pow (* 1 x) 1/4) |
(pow (* 1 x) 1/4) |
(pow (* 1 x) 1/4) |
(pow (* 1 x) 1/4) |
(pow (* 1 x) 1/4) |
(pow (* 1 x) 1/4) |
(pow (* 1 x) 1/4) |
(pow (* 1 x) 1/4) |
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1))) |
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1))) |
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1))) |
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1))) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(pow (* 1 x) 1/8) |
(pow (* 1 x) 1/8) |
(pow (* 1 x) 1/8) |
(pow (* 1 x) 1/8) |
(pow (* 1 x) 1/8) |
(pow (* 1 x) 1/8) |
(pow (* 1 x) 1/8) |
(pow (* 1 x) 1/8) |
(* (pow (* -1 x) 1/8) (pow (* 1 (sqrt -1)) 1/4)) |
(* (pow (* -1 x) 1/8) (pow (* 1 (sqrt -1)) 1/4)) |
(* (pow (* -1 x) 1/8) (pow (* 1 (sqrt -1)) 1/4)) |
(* (pow (* -1 x) 1/8) (pow (* 1 (sqrt -1)) 1/4)) |
| Outputs |
|---|
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2)))) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2)))) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2)))) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2)))) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64))) |
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64))) |
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64))) |
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64))) |
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64))) |
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64))) |
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64))) |
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64))) |
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt (pow (sqrt -1) 3)) (sqrt 2))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 (neg.f64 (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64)) (sqrt.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))))) |
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt (pow (sqrt -1) 3)) (sqrt 2))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 (neg.f64 (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64)) (sqrt.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))))) |
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt (pow (sqrt -1) 3)) (sqrt 2))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 (neg.f64 (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64)) (sqrt.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))))) |
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt (pow (sqrt -1) 3)) (sqrt 2))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 (neg.f64 (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64)) (sqrt.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))))) |
(* (pow (* 1 x) 1/4) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 1/4 binary64))) |
(* (pow (* 1 x) 1/4) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 1/4 binary64))) |
(* (pow (* 1 x) 1/4) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 1/4 binary64))) |
(* (pow (* 1 x) 1/4) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 1/4 binary64))) |
(* (pow (* 1 x) 1/4) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 1/4 binary64))) |
(* (pow (* 1 x) 1/4) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 1/4 binary64))) |
(* (pow (* 1 x) 1/4) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 1/4 binary64))) |
(* (pow (* 1 x) 1/4) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 1/4 binary64))) |
(* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 (neg.f64 x) #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))))) |
(* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 (neg.f64 x) #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))))) |
(* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 (neg.f64 x) #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))))) |
(* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 (neg.f64 x) #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))))) |
(* 2 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal 2 binary64)) |
(* 2 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal 2 binary64)) |
(* 2 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal 2 binary64)) |
(* 2 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal 2 binary64)) |
(* 2 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal 2 binary64)) |
(* 2 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal 2 binary64)) |
(* 2 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal 2 binary64)) |
(* 2 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal 2 binary64)) |
(* -2 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 (sqrt.f64 x) #s(literal 2 binary64)) |
(* -2 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 (sqrt.f64 x) #s(literal 2 binary64)) |
(* -2 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 (sqrt.f64 x) #s(literal 2 binary64)) |
(* -2 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 (sqrt.f64 x) #s(literal 2 binary64)) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* -1 (* x (* (sqrt -2) (sqrt -1)))) |
(neg.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 x (sqrt.f64 #s(literal -2 binary64))))) |
(* -1 (* x (* (sqrt -2) (sqrt -1)))) |
(neg.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 x (sqrt.f64 #s(literal -2 binary64))))) |
(* -1 (* x (* (sqrt -2) (sqrt -1)))) |
(neg.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 x (sqrt.f64 #s(literal -2 binary64))))) |
(* -1 (* x (* (sqrt -2) (sqrt -1)))) |
(neg.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 x (sqrt.f64 #s(literal -2 binary64))))) |
(* (sqrt x) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)) |
(* (sqrt x) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)) |
(* (sqrt x) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)) |
(* (sqrt x) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)) |
(* (sqrt x) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)) |
(* (sqrt x) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)) |
(* (sqrt x) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)) |
(* (sqrt x) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)) |
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1)))) |
(neg.f64 (*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64))))) |
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1)))) |
(neg.f64 (*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64))))) |
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1)))) |
(neg.f64 (*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64))))) |
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1)))) |
(neg.f64 (*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64))))) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* -1 (* x (* (sqrt -2) (sqrt -1)))) |
(neg.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 x (sqrt.f64 #s(literal -2 binary64))))) |
(* -1 (* x (* (sqrt -2) (sqrt -1)))) |
(neg.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 x (sqrt.f64 #s(literal -2 binary64))))) |
(* -1 (* x (* (sqrt -2) (sqrt -1)))) |
(neg.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 x (sqrt.f64 #s(literal -2 binary64))))) |
(* -1 (* x (* (sqrt -2) (sqrt -1)))) |
(neg.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 x (sqrt.f64 #s(literal -2 binary64))))) |
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64))) |
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64))) |
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64))) |
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64))) |
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64))) |
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64))) |
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64))) |
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64))) |
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1)))) |
(*.f64 (pow.f64 (neg.f64 (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -2 binary64)))) |
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1)))) |
(*.f64 (pow.f64 (neg.f64 (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -2 binary64)))) |
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1)))) |
(*.f64 (pow.f64 (neg.f64 (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -2 binary64)))) |
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1)))) |
(*.f64 (pow.f64 (neg.f64 (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -2 binary64)))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* -1 (* x (* (sqrt -2) (sqrt -1)))) |
(neg.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 x (sqrt.f64 #s(literal -2 binary64))))) |
(* -1 (* x (* (sqrt -2) (sqrt -1)))) |
(neg.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 x (sqrt.f64 #s(literal -2 binary64))))) |
(* -1 (* x (* (sqrt -2) (sqrt -1)))) |
(neg.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 x (sqrt.f64 #s(literal -2 binary64))))) |
(* -1 (* x (* (sqrt -2) (sqrt -1)))) |
(neg.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 x (sqrt.f64 #s(literal -2 binary64))))) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(pow (* 1 x) 1/4) |
(pow.f64 x #s(literal 1/4 binary64)) |
(pow (* 1 x) 1/4) |
(pow.f64 x #s(literal 1/4 binary64)) |
(pow (* 1 x) 1/4) |
(pow.f64 x #s(literal 1/4 binary64)) |
(pow (* 1 x) 1/4) |
(pow.f64 x #s(literal 1/4 binary64)) |
(pow (* 1 x) 1/4) |
(pow.f64 x #s(literal 1/4 binary64)) |
(pow (* 1 x) 1/4) |
(pow.f64 x #s(literal 1/4 binary64)) |
(pow (* 1 x) 1/4) |
(pow.f64 x #s(literal 1/4 binary64)) |
(pow (* 1 x) 1/4) |
(pow.f64 x #s(literal 1/4 binary64)) |
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1))) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64)))) |
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1))) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64)))) |
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1))) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64)))) |
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1))) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64)))) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(pow (* 1 x) 1/8) |
(pow.f64 x #s(literal 1/8 binary64)) |
(pow (* 1 x) 1/8) |
(pow.f64 x #s(literal 1/8 binary64)) |
(pow (* 1 x) 1/8) |
(pow.f64 x #s(literal 1/8 binary64)) |
(pow (* 1 x) 1/8) |
(pow.f64 x #s(literal 1/8 binary64)) |
(pow (* 1 x) 1/8) |
(pow.f64 x #s(literal 1/8 binary64)) |
(pow (* 1 x) 1/8) |
(pow.f64 x #s(literal 1/8 binary64)) |
(pow (* 1 x) 1/8) |
(pow.f64 x #s(literal 1/8 binary64)) |
(pow (* 1 x) 1/8) |
(pow.f64 x #s(literal 1/8 binary64)) |
(* (pow (* -1 x) 1/8) (pow (* 1 (sqrt -1)) 1/4)) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1/8 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64))) |
(* (pow (* -1 x) 1/8) (pow (* 1 (sqrt -1)) 1/4)) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1/8 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64))) |
(* (pow (* -1 x) 1/8) (pow (* 1 (sqrt -1)) 1/4)) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1/8 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64))) |
(* (pow (* -1 x) 1/8) (pow (* 1 (sqrt -1)) 1/4)) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1/8 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64))) |
Compiled 4 821 to 181 computations (96.2% saved)
14 alts after pruning (3 fresh and 11 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 445 | 3 | 448 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 6 | 6 |
| Total | 445 | 14 | 459 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.1% | (*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) x) |
| ✓ | 99.3% | (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))) |
| ▶ | 99.2% | (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 x)) (pow.f64 x #s(literal 1/4 binary64))) |
| ✓ | 99.1% | (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))) |
| ✓ | 99.1% | (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x))) |
| ▶ | 98.9% | (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)) (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))) |
| ✓ | 63.9% | (*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))) |
| ✓ | 64.0% | (*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x))) |
| ✓ | 98.5% | (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) #s(literal 4 binary64))) |
| ✓ | 99.1% | (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))) |
| ✓ | 99.5% | (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 x)) |
| ✓ | 99.4% | (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
| ✓ | 51.7% | (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
| ▶ | 20.3% | x |
Compiled 146 to 98 computations (32.9% saved)
| 1× | egg-herbie |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | 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))) (sqrt.f64 x)) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 x)) (pow.f64 x #s(literal 1/4 binary64))) |
| ✓ | cost-diff | 0 | (sqrt.f64 #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)) |
| ✓ | cost-diff | 1600 | (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)) (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))) |
| ✓ | cost-diff | 2240 | (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))) |
| 124× | *-lowering-*.f32 |
| 124× | *-lowering-*.f64 |
| 60× | associate-*r* |
| 42× | associate-*l* |
| 38× | *-commutative |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 62 |
| 1 | 26 | 58 |
| 2 | 59 | 58 |
| 3 | 101 | 58 |
| 4 | 108 | 58 |
| 5 | 110 | 58 |
| 0 | 110 | 58 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
x |
(* (* (sqrt 2) (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) |
(* (sqrt 2) (sqrt x)) |
(sqrt 2) |
2 |
(sqrt x) |
x |
(* (sqrt (sqrt x)) (sqrt (sqrt x))) |
(sqrt (sqrt x)) |
(* (* (sqrt (* 2 (sqrt x))) (sqrt x)) (pow x 1/4)) |
(* (sqrt (* 2 (sqrt x))) (sqrt x)) |
(sqrt (* 2 (sqrt x))) |
(* 2 (sqrt x)) |
2 |
(sqrt x) |
x |
(pow x 1/4) |
1/4 |
| Outputs |
|---|
x |
(* (* (sqrt 2) (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* (sqrt 2) (sqrt x)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)) |
(sqrt 2) |
(sqrt.f64 #s(literal 2 binary64)) |
2 |
#s(literal 2 binary64) |
(sqrt x) |
(sqrt.f64 x) |
x |
(* (sqrt (sqrt x)) (sqrt (sqrt x))) |
(sqrt.f64 x) |
(sqrt (sqrt x)) |
(sqrt.f64 (sqrt.f64 x)) |
(* (* (sqrt (* 2 (sqrt x))) (sqrt x)) (pow x 1/4)) |
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (*.f64 (sqrt.f64 x) (pow.f64 x #s(literal 1/4 binary64)))) |
(* (sqrt (* 2 (sqrt x))) (sqrt x)) |
(*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))) |
(sqrt (* 2 (sqrt x))) |
(sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) |
(* 2 (sqrt x)) |
(*.f64 #s(literal 2 binary64) (sqrt.f64 x)) |
2 |
#s(literal 2 binary64) |
(sqrt x) |
(sqrt.f64 x) |
x |
(pow x 1/4) |
(pow.f64 x #s(literal 1/4 binary64)) |
1/4 |
#s(literal 1/4 binary64) |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (sqrt.f64 x) |
| ✓ | accuracy | 99.8% | (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) |
| ✓ | accuracy | 99.5% | (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 x)) |
| ✓ | accuracy | 99.5% | (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 x)) (pow.f64 x #s(literal 1/4 binary64))) |
| ✓ | accuracy | 99.8% | (sqrt.f64 (sqrt.f64 x)) |
| ✓ | accuracy | 99.5% | (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)) (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))) |
| ✓ | accuracy | 99.3% | (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)) |
| ✓ | accuracy | 99.2% | (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))) |
| 34.0ms | 256× | 0 | valid |
Compiled 74 to 16 computations (78.4% saved)
ival-mult: 12.0ms (48.5% of total)ival-sqrt: 7.0ms (28.3% of total)ival-pow: 5.0ms (20.2% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* (sqrt (sqrt x)) (sqrt (sqrt x)))> |
#<alt (* (* (sqrt 2) (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x))))> |
#<alt (* (sqrt 2) (sqrt x))> |
#<alt (sqrt 2)> |
#<alt (* (* (sqrt (* 2 (sqrt x))) (sqrt x)) (pow x 1/4))> |
#<alt (* (sqrt (* 2 (sqrt x))) (sqrt x))> |
#<alt (sqrt (* 2 (sqrt x)))> |
#<alt (* 2 (sqrt x))> |
#<alt (sqrt (sqrt x))> |
#<alt (sqrt x)> |
| Outputs |
|---|
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))> |
#<alt (* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))> |
#<alt (* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))> |
#<alt (* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))> |
#<alt (* (sqrt x) (sqrt 2))> |
#<alt (* (sqrt x) (sqrt 2))> |
#<alt (* (sqrt x) (sqrt 2))> |
#<alt (* (sqrt x) (sqrt 2))> |
#<alt (* (sqrt x) (sqrt 2))> |
#<alt (* (sqrt x) (sqrt 2))> |
#<alt (* (sqrt x) (sqrt 2))> |
#<alt (* (sqrt x) (sqrt 2))> |
#<alt (* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (sqrt 2))))> |
#<alt (* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (sqrt 2))))> |
#<alt (* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (sqrt 2))))> |
#<alt (* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (sqrt 2))))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* -1 (* (pow -1 1/4) (* (* x (sqrt 2)) (sqrt (pow (sqrt -1) 3)))))> |
#<alt (* -1 (* (pow -1 1/4) (* (* x (sqrt 2)) (sqrt (pow (sqrt -1) 3)))))> |
#<alt (* -1 (* (pow -1 1/4) (* (* x (sqrt 2)) (sqrt (pow (sqrt -1) 3)))))> |
#<alt (* -1 (* (pow -1 1/4) (* (* x (sqrt 2)) (sqrt (pow (sqrt -1) 3)))))> |
#<alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))> |
#<alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))> |
#<alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))> |
#<alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))> |
#<alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))> |
#<alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))> |
#<alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))> |
#<alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))> |
#<alt (* (pow (* -1 (pow x 3)) 1/4) (* (sqrt (pow (sqrt -1) 3)) (sqrt 2)))> |
#<alt (* (pow (* -1 (pow x 3)) 1/4) (* (sqrt (pow (sqrt -1) 3)) (sqrt 2)))> |
#<alt (* (pow (* -1 (pow x 3)) 1/4) (* (sqrt (pow (sqrt -1) 3)) (sqrt 2)))> |
#<alt (* (pow (* -1 (pow x 3)) 1/4) (* (sqrt (pow (sqrt -1) 3)) (sqrt 2)))> |
#<alt (* (pow (* 1 x) 1/4) (sqrt 2))> |
#<alt (* (pow (* 1 x) 1/4) (sqrt 2))> |
#<alt (* (pow (* 1 x) 1/4) (sqrt 2))> |
#<alt (* (pow (* 1 x) 1/4) (sqrt 2))> |
#<alt (* (pow (* 1 x) 1/4) (sqrt 2))> |
#<alt (* (pow (* 1 x) 1/4) (sqrt 2))> |
#<alt (* (pow (* 1 x) 1/4) (sqrt 2))> |
#<alt (* (pow (* 1 x) 1/4) (sqrt 2))> |
#<alt (* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))> |
#<alt (* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))> |
#<alt (* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))> |
#<alt (* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))> |
#<alt (* 2 (sqrt x))> |
#<alt (* 2 (sqrt x))> |
#<alt (* 2 (sqrt x))> |
#<alt (* 2 (sqrt x))> |
#<alt (* 2 (sqrt x))> |
#<alt (* 2 (sqrt x))> |
#<alt (* 2 (sqrt x))> |
#<alt (* 2 (sqrt x))> |
#<alt (* -2 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -2 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -2 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -2 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (pow (* 1 x) 1/4)> |
#<alt (pow (* 1 x) 1/4)> |
#<alt (pow (* 1 x) 1/4)> |
#<alt (pow (* 1 x) 1/4)> |
#<alt (pow (* 1 x) 1/4)> |
#<alt (pow (* 1 x) 1/4)> |
#<alt (pow (* 1 x) 1/4)> |
#<alt (pow (* 1 x) 1/4)> |
#<alt (* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))> |
#<alt (* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))> |
#<alt (* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))> |
#<alt (* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
27 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 13.0ms | x | @ | -inf | (* (* (sqrt (* 2 (sqrt x))) (sqrt x)) (pow x 1/4)) |
| 0.0ms | x | @ | -inf | (* (sqrt 2) (sqrt x)) |
| 0.0ms | x | @ | -inf | (* (* (sqrt 2) (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) |
| 0.0ms | x | @ | 0 | (sqrt (* 2 (sqrt x))) |
| 0.0ms | x | @ | 0 | (* (* (sqrt 2) (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) |
| 1× | batch-egg-rewrite |
| 5 384× | accelerator-lowering-fma.f32 |
| 5 384× | accelerator-lowering-fma.f64 |
| 3 652× | *-lowering-*.f32 |
| 3 652× | *-lowering-*.f64 |
| 1 904× | exp-lowering-exp.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 43 |
| 1 | 45 | 36 |
| 2 | 175 | 36 |
| 3 | 759 | 36 |
| 4 | 4397 | 36 |
| 0 | 8158 | 36 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (sqrt (sqrt x)) (sqrt (sqrt x))) |
(* (* (sqrt 2) (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) |
(* (sqrt 2) (sqrt x)) |
(sqrt 2) |
(* (* (sqrt (* 2 (sqrt x))) (sqrt x)) (pow x 1/4)) |
(* (sqrt (* 2 (sqrt x))) (sqrt x)) |
(sqrt (* 2 (sqrt x))) |
(* 2 (sqrt x)) |
(sqrt (sqrt x)) |
(sqrt x) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 4 binary64) (log.f64 x)) #s(literal 1/8 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1/16 binary64)) #s(literal 8 binary64))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 1/4 binary64))) (log.f64 (*.f64 x x)))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 1/4 binary64))) (*.f64 (log.f64 x) #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (log.f64 x)))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 1/2 binary64))) (log.f64 x))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 1 binary64))) (*.f64 (log.f64 x) #s(literal 1/2 binary64)))) |
(exp.f64 (*.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1/8 binary64)) #s(literal 8 binary64)) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) (log.f64 x)) #s(literal 1/8 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (exp.f64 #s(literal 1/4 binary64))) (log.f64 x)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1/8 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal 1/16 binary64)) #s(literal 4 binary64))) |
(exp.f64 (*.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1/16 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/4 binary64))) |
(exp.f64 (*.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)) #s(literal 4 binary64)) #s(literal 1/4 binary64))) |
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 x)) #s(literal 8 binary64)) #s(literal 1/4 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal 1 binary64)) #s(literal 1/4 binary64))) |
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) (log.f64 x)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) |
(exp.f64 (*.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)) #s(literal 1/8 binary64)) #s(literal 8 binary64))) |
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 x)) #s(literal 1/4 binary64)) #s(literal 8 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal 1/32 binary64)) #s(literal 8 binary64))) |
(exp.f64 (*.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 8 binary64))) |
(exp.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64)))) |
(fabs.f64 (sqrt.f64 x)) |
(fabs.f64 (neg.f64 (sqrt.f64 x))) |
(fabs.f64 (neg.f64 (neg.f64 (sqrt.f64 x)))) |
(sqrt.f64 x) |
(pow.f64 x #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 x) #s(literal 1 binary64)) |
(pow.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) #s(literal 4 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1/4 binary64)) |
(pow.f64 (*.f64 x x) (log.f64 (exp.f64 #s(literal 1/4 binary64)))) |
(pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) #s(literal 8 binary64)) |
(pow.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/8 binary64)) |
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (log.f64 (*.f64 x x))) |
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(pow.f64 (neg.f64 (sqrt.f64 (sqrt.f64 x))) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.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)) (*.f64 (log.f64 x) #s(literal 1/2 binary64))) |
(pow.f64 (exp.f64 #s(literal 4 binary64)) (*.f64 (log.f64 x) #s(literal 1/8 binary64))) |
(pow.f64 (exp.f64 #s(literal 1/8 binary64)) (*.f64 #s(literal 4 binary64) (log.f64 x))) |
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal 1/8 binary64))) |
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) (log.f64 x)) |
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 (log.f64 x) #s(literal 1/2 binary64))) |
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 1/8 binary64)) (log.f64 (*.f64 x x))) |
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/4 binary64) (log.f64 x))) |
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (*.f64 x x))) #s(literal 1/8 binary64)) |
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal 1/2 binary64))) |
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (log.f64 (*.f64 x x))) |
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (log.f64 x)) |
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64)) (*.f64 #s(literal 1/4 binary64) (log.f64 x))) |
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal 8 binary64)) (*.f64 (log.f64 x) #s(literal 1/8 binary64))) |
(pow.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (log.f64 x))) |
(pow.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) #s(literal 1/2 binary64)) (log.f64 x)) |
(pow.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (log.f64 x) #s(literal 1/2 binary64))) |
(pow.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) #s(literal 4 binary64)) (*.f64 (log.f64 x) #s(literal 1/8 binary64))) |
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) #s(literal 8 binary64)) (*.f64 #s(literal 1/4 binary64) (log.f64 x))) |
(pow.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) #s(literal 1/4 binary64)) (log.f64 (*.f64 x x))) |
(pow.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) #s(literal 1/8 binary64)) (*.f64 #s(literal 4 binary64) (log.f64 x))) |
(pow.f64 (exp.f64 (*.f64 #s(literal 4 binary64) (log.f64 x))) #s(literal 1/8 binary64)) |
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))) |
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))) |
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (pow.f64 (*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))) #s(literal 4 binary64))) |
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 (log.f64 x) #s(literal 3/4 binary64)))) |
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (pow.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 (log.f64 x) #s(literal 3/8 binary64)))) |
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 (*.f64 (log.f64 x) #s(literal 3/4 binary64)) #s(literal 1 binary64)))) |
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 3/16 binary64) (log.f64 x)))) |
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (pow.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 (*.f64 (log.f64 x) #s(literal 3/4 binary64)) #s(literal 1/2 binary64)))) |
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (*.f64 x (sqrt.f64 x))))))) |
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 x (sqrt.f64 x)))) #s(literal 1/4 binary64))) |
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(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) #s(literal 1/4 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x x) (*.f64 x #s(literal 4 binary64)))) #s(literal 1/4 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x #s(literal 4 binary64)) (*.f64 x x))) #s(literal 1/4 binary64))) |
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(exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64))) |
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(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal 1/16 binary64)) #s(literal 4 binary64))) |
(exp.f64 (*.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1/16 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/4 binary64))) |
(exp.f64 (*.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)) #s(literal 4 binary64)) #s(literal 1/4 binary64))) |
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 x)) #s(literal 8 binary64)) #s(literal 1/4 binary64))) |
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(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 x)) #s(literal 1/4 binary64)) #s(literal 8 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal 1/32 binary64)) #s(literal 8 binary64))) |
(exp.f64 (*.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 8 binary64))) |
(exp.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64)))) |
(fabs.f64 (sqrt.f64 x)) |
(fabs.f64 (neg.f64 (sqrt.f64 x))) |
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(pow.f64 (sqrt.f64 x) #s(literal 1 binary64)) |
(pow.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 2 binary64)) |
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(pow.f64 (*.f64 x x) #s(literal 1/4 binary64)) |
(pow.f64 (*.f64 x x) (log.f64 (exp.f64 #s(literal 1/4 binary64)))) |
(pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) #s(literal 8 binary64)) |
(pow.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/8 binary64)) |
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (log.f64 (*.f64 x x))) |
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(pow.f64 (neg.f64 (sqrt.f64 (sqrt.f64 x))) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.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)) (*.f64 (log.f64 x) #s(literal 1/2 binary64))) |
(pow.f64 (exp.f64 #s(literal 4 binary64)) (*.f64 (log.f64 x) #s(literal 1/8 binary64))) |
(pow.f64 (exp.f64 #s(literal 1/8 binary64)) (*.f64 #s(literal 4 binary64) (log.f64 x))) |
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal 1/8 binary64))) |
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) (log.f64 x)) |
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 (log.f64 x) #s(literal 1/2 binary64))) |
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 1/8 binary64)) (log.f64 (*.f64 x x))) |
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/4 binary64) (log.f64 x))) |
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (*.f64 x x))) #s(literal 1/8 binary64)) |
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal 1/2 binary64))) |
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (log.f64 (*.f64 x x))) |
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (log.f64 x)) |
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64)) (*.f64 #s(literal 1/4 binary64) (log.f64 x))) |
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal 8 binary64)) (*.f64 (log.f64 x) #s(literal 1/8 binary64))) |
(pow.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (log.f64 x))) |
(pow.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) #s(literal 1/2 binary64)) (log.f64 x)) |
(pow.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (log.f64 x) #s(literal 1/2 binary64))) |
(pow.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) #s(literal 4 binary64)) (*.f64 (log.f64 x) #s(literal 1/8 binary64))) |
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) #s(literal 8 binary64)) (*.f64 #s(literal 1/4 binary64) (log.f64 x))) |
(pow.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) #s(literal 1/4 binary64)) (log.f64 (*.f64 x x))) |
(pow.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) #s(literal 1/8 binary64)) (*.f64 #s(literal 4 binary64) (log.f64 x))) |
(pow.f64 (exp.f64 (*.f64 #s(literal 4 binary64) (log.f64 x))) #s(literal 1/8 binary64)) |
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))) |
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))) |
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (pow.f64 (*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))) #s(literal 4 binary64))) |
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 (log.f64 x) #s(literal 3/4 binary64)))) |
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (pow.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 (log.f64 x) #s(literal 3/8 binary64)))) |
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 (*.f64 (log.f64 x) #s(literal 3/4 binary64)) #s(literal 1 binary64)))) |
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 3/16 binary64) (log.f64 x)))) |
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (pow.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 (*.f64 (log.f64 x) #s(literal 3/4 binary64)) #s(literal 1/2 binary64)))) |
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (*.f64 x (sqrt.f64 x))))))) |
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 x (sqrt.f64 x)))) #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (*.f64 #s(literal 7/4 binary64) (log.f64 x)))) |
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 7/8 binary64) (log.f64 x)))) |
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) |
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))) (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))) |
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))))) |
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 (log.f64 x) #s(literal 5/8 binary64)))) |
(*.f64 (neg.f64 (sqrt.f64 (sqrt.f64 x))) (neg.f64 (sqrt.f64 (sqrt.f64 x)))) |
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))))) |
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (*.f64 x (sqrt.f64 x)))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))) |
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))))) |
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))) #s(literal 4 binary64)) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) |
(*.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 x (sqrt.f64 x)))) #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))) |
(*.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 (log.f64 x) #s(literal 3/4 binary64))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) |
(*.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 (log.f64 x) #s(literal 3/8 binary64))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) |
(*.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (*.f64 #s(literal 7/4 binary64) (log.f64 x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))) |
(*.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 (*.f64 (log.f64 x) #s(literal 3/4 binary64)) #s(literal 1 binary64))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) |
(*.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 7/8 binary64) (log.f64 x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))) |
(*.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 (log.f64 x) #s(literal 5/8 binary64))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))))) |
(*.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 3/16 binary64) (log.f64 x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) |
(*.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 x)) #s(literal 1/4 binary64))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (log.f64 x) #s(literal 3/4 binary64)) #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (log.f64 x) #s(literal 3/4 binary64)) #s(literal 1/4 binary64))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 x)) #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (log.f64 x) #s(literal 1/8 binary64)) #s(literal 1 binary64))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (log.f64 x) #s(literal 1/8 binary64)) #s(literal 1 binary64)))) |
(*.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 (*.f64 (log.f64 x) #s(literal 3/4 binary64)) #s(literal 1/2 binary64))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) |
| 1× | egg-herbie |
| 95 168× | accelerator-lowering-fma.f32 |
| 95 168× | accelerator-lowering-fma.f64 |
| 4 776× | *-lowering-*.f32 |
| 4 776× | *-lowering-*.f64 |
| 4 336× | +-lowering-+.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 568 |
| 1 | 104 | 568 |
| 2 | 309 | 556 |
| 3 | 676 | 556 |
| 4 | 1164 | 556 |
| 5 | 2057 | 556 |
| 6 | 2657 | 556 |
| 7 | 2858 | 556 |
| 8 | 2951 | 556 |
| 9 | 3002 | 556 |
| 10 | 3021 | 556 |
| 11 | 3400 | 556 |
| 12 | 3559 | 556 |
| 13 | 3562 | 556 |
| 14 | 3565 | 556 |
| 15 | 3568 | 556 |
| 16 | 3571 | 556 |
| 17 | 3574 | 556 |
| 18 | 3577 | 556 |
| 19 | 3580 | 556 |
| 20 | 3583 | 556 |
| 21 | 3586 | 556 |
| 22 | 3589 | 556 |
| 23 | 3592 | 556 |
| 24 | 3595 | 556 |
| 25 | 3598 | 556 |
| 26 | 3601 | 556 |
| 27 | 3604 | 556 |
| 28 | 3607 | 556 |
| 29 | 3610 | 556 |
| 30 | 3613 | 556 |
| 31 | 3616 | 556 |
| 32 | 3619 | 556 |
| 33 | 3622 | 556 |
| 34 | 3625 | 556 |
| 35 | 3628 | 556 |
| 36 | 3631 | 556 |
| 37 | 3634 | 556 |
| 38 | 3637 | 556 |
| 39 | 4928 | 556 |
| 0 | 8797 | 556 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2)))) |
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2)))) |
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2)))) |
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2)))) |
(* (sqrt x) (sqrt 2)) |
(* (sqrt x) (sqrt 2)) |
(* (sqrt x) (sqrt 2)) |
(* (sqrt x) (sqrt 2)) |
(* (sqrt x) (sqrt 2)) |
(* (sqrt x) (sqrt 2)) |
(* (sqrt x) (sqrt 2)) |
(* (sqrt x) (sqrt 2)) |
(* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (sqrt 2)))) |
(* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (sqrt 2)))) |
(* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (sqrt 2)))) |
(* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (sqrt 2)))) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* -1 (* (pow -1 1/4) (* (* x (sqrt 2)) (sqrt (pow (sqrt -1) 3))))) |
(* -1 (* (pow -1 1/4) (* (* x (sqrt 2)) (sqrt (pow (sqrt -1) 3))))) |
(* -1 (* (pow -1 1/4) (* (* x (sqrt 2)) (sqrt (pow (sqrt -1) 3))))) |
(* -1 (* (pow -1 1/4) (* (* x (sqrt 2)) (sqrt (pow (sqrt -1) 3))))) |
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) |
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) |
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) |
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) |
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) |
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) |
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) |
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) |
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt (pow (sqrt -1) 3)) (sqrt 2))) |
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt (pow (sqrt -1) 3)) (sqrt 2))) |
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt (pow (sqrt -1) 3)) (sqrt 2))) |
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt (pow (sqrt -1) 3)) (sqrt 2))) |
(* (pow (* 1 x) 1/4) (sqrt 2)) |
(* (pow (* 1 x) 1/4) (sqrt 2)) |
(* (pow (* 1 x) 1/4) (sqrt 2)) |
(* (pow (* 1 x) 1/4) (sqrt 2)) |
(* (pow (* 1 x) 1/4) (sqrt 2)) |
(* (pow (* 1 x) 1/4) (sqrt 2)) |
(* (pow (* 1 x) 1/4) (sqrt 2)) |
(* (pow (* 1 x) 1/4) (sqrt 2)) |
(* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2))) |
(* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2))) |
(* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2))) |
(* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2))) |
(* 2 (sqrt x)) |
(* 2 (sqrt x)) |
(* 2 (sqrt x)) |
(* 2 (sqrt x)) |
(* 2 (sqrt x)) |
(* 2 (sqrt x)) |
(* 2 (sqrt x)) |
(* 2 (sqrt x)) |
(* -2 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -2 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -2 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -2 (* (sqrt x) (pow (sqrt -1) 2))) |
(pow (* 1 x) 1/4) |
(pow (* 1 x) 1/4) |
(pow (* 1 x) 1/4) |
(pow (* 1 x) 1/4) |
(pow (* 1 x) 1/4) |
(pow (* 1 x) 1/4) |
(pow (* 1 x) 1/4) |
(pow (* 1 x) 1/4) |
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1))) |
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1))) |
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1))) |
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1))) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
| Outputs |
|---|
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2)))) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2)))) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2)))) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2)))) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* (sqrt x) (sqrt 2)) |
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) |
(* (sqrt x) (sqrt 2)) |
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) |
(* (sqrt x) (sqrt 2)) |
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) |
(* (sqrt x) (sqrt 2)) |
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) |
(* (sqrt x) (sqrt 2)) |
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) |
(* (sqrt x) (sqrt 2)) |
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) |
(* (sqrt x) (sqrt 2)) |
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) |
(* (sqrt x) (sqrt 2)) |
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) |
(* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (sqrt 2)))) |
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) |
(* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (sqrt 2)))) |
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) |
(* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (sqrt 2)))) |
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) |
(* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (sqrt 2)))) |
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* -1 (* (pow -1 1/4) (* (* x (sqrt 2)) (sqrt (pow (sqrt -1) 3))))) |
(*.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (pow.f64 #s(literal -1 binary64) #s(literal 5/4 binary64)))) |
(* -1 (* (pow -1 1/4) (* (* x (sqrt 2)) (sqrt (pow (sqrt -1) 3))))) |
(*.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (pow.f64 #s(literal -1 binary64) #s(literal 5/4 binary64)))) |
(* -1 (* (pow -1 1/4) (* (* x (sqrt 2)) (sqrt (pow (sqrt -1) 3))))) |
(*.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (pow.f64 #s(literal -1 binary64) #s(literal 5/4 binary64)))) |
(* -1 (* (pow -1 1/4) (* (* x (sqrt 2)) (sqrt (pow (sqrt -1) 3))))) |
(*.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (pow.f64 #s(literal -1 binary64) #s(literal 5/4 binary64)))) |
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64))) |
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64))) |
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64))) |
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64))) |
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64))) |
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64))) |
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64))) |
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64))) |
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt (pow (sqrt -1) 3)) (sqrt 2))) |
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (neg.f64 (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64)))) |
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt (pow (sqrt -1) 3)) (sqrt 2))) |
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (neg.f64 (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64)))) |
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt (pow (sqrt -1) 3)) (sqrt 2))) |
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (neg.f64 (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64)))) |
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt (pow (sqrt -1) 3)) (sqrt 2))) |
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (neg.f64 (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64)))) |
(* (pow (* 1 x) 1/4) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 1/4 binary64))) |
(* (pow (* 1 x) 1/4) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 1/4 binary64))) |
(* (pow (* 1 x) 1/4) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 1/4 binary64))) |
(* (pow (* 1 x) 1/4) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 1/4 binary64))) |
(* (pow (* 1 x) 1/4) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 1/4 binary64))) |
(* (pow (* 1 x) 1/4) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 1/4 binary64))) |
(* (pow (* 1 x) 1/4) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 1/4 binary64))) |
(* (pow (* 1 x) 1/4) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 1/4 binary64))) |
(* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 (neg.f64 x) #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))))) |
(* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 (neg.f64 x) #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))))) |
(* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 (neg.f64 x) #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))))) |
(* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 (neg.f64 x) #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))))) |
(* 2 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal 2 binary64)) |
(* 2 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal 2 binary64)) |
(* 2 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal 2 binary64)) |
(* 2 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal 2 binary64)) |
(* 2 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal 2 binary64)) |
(* 2 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal 2 binary64)) |
(* 2 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal 2 binary64)) |
(* 2 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal 2 binary64)) |
(* -2 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 (sqrt.f64 x) #s(literal 2 binary64)) |
(* -2 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 (sqrt.f64 x) #s(literal 2 binary64)) |
(* -2 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 (sqrt.f64 x) #s(literal 2 binary64)) |
(* -2 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 (sqrt.f64 x) #s(literal 2 binary64)) |
(pow (* 1 x) 1/4) |
(pow.f64 x #s(literal 1/4 binary64)) |
(pow (* 1 x) 1/4) |
(pow.f64 x #s(literal 1/4 binary64)) |
(pow (* 1 x) 1/4) |
(pow.f64 x #s(literal 1/4 binary64)) |
(pow (* 1 x) 1/4) |
(pow.f64 x #s(literal 1/4 binary64)) |
(pow (* 1 x) 1/4) |
(pow.f64 x #s(literal 1/4 binary64)) |
(pow (* 1 x) 1/4) |
(pow.f64 x #s(literal 1/4 binary64)) |
(pow (* 1 x) 1/4) |
(pow.f64 x #s(literal 1/4 binary64)) |
(pow (* 1 x) 1/4) |
(pow.f64 x #s(literal 1/4 binary64)) |
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1))) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64)))) |
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1))) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64)))) |
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1))) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64)))) |
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1))) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64)))) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
Compiled 21 424 to 2 684 computations (87.5% saved)
14 alts after pruning (0 fresh and 14 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 202 | 0 | 1 202 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 3 | 3 |
| Done | 0 | 11 | 11 |
| Total | 1 202 | 14 | 1 216 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.1% | (*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) x) |
| ✓ | 99.3% | (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))) |
| ✓ | 99.2% | (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 x)) (pow.f64 x #s(literal 1/4 binary64))) |
| ✓ | 99.1% | (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))) |
| ✓ | 99.1% | (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x))) |
| ✓ | 98.9% | (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)) (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))) |
| ✓ | 63.9% | (*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))) |
| ✓ | 64.0% | (*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x))) |
| ✓ | 98.5% | (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) #s(literal 4 binary64))) |
| ✓ | 99.1% | (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))) |
| ✓ | 99.5% | (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 x)) |
| ✓ | 99.4% | (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
| ✓ | 51.7% | (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
| ✓ | 20.3% | x |
Compiled 292 to 144 computations (50.7% saved)
| Inputs |
|---|
x |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x))) |
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)) (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 x)) (pow.f64 x #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) #s(literal 4 binary64))) |
(*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) x) |
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 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 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))) |
| Outputs |
|---|
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 x)) |
3 calls:
| 5.0ms | x |
| 5.0ms | (*.f64 (*.f64 #s(literal 2 binary64) x) x) |
| 4.0ms | (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 1 | x |
| 99.5% | 1 | (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
| 99.5% | 1 | (*.f64 (*.f64 #s(literal 2 binary64) x) x) |
Compiled 15 to 10 computations (33.3% saved)
| Inputs |
|---|
x |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
| Outputs |
|---|
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
3 calls:
| 3.0ms | (*.f64 (*.f64 #s(literal 2 binary64) x) x) |
| 2.0ms | x |
| 2.0ms | (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.4% | 1 | x |
| 99.4% | 1 | (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
| 99.4% | 1 | (*.f64 (*.f64 #s(literal 2 binary64) x) x) |
Compiled 15 to 10 computations (33.3% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
x |
| Outputs |
|---|
x |
3 calls:
| 1.0ms | x |
| 1.0ms | (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
| 1.0ms | (*.f64 (*.f64 #s(literal 2 binary64) x) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 20.3% | 1 | x |
| 20.3% | 1 | (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
| 20.3% | 1 | (*.f64 (*.f64 #s(literal 2 binary64) x) x) |
Compiled 15 to 10 computations (33.3% saved)
| 1× | egg-herbie |
| 6× | *-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 12 |
| 1 | 11 | 12 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
x |
| Outputs |
|---|
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
x |
| 6 098× | *-lowering-*.f32 |
| 6 098× | *-lowering-*.f64 |
| 5 528× | accelerator-lowering-fma.f32 |
| 5 528× | accelerator-lowering-fma.f64 |
| 5 230× | *-lowering-*.f32 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 89 |
| 1 | 63 | 85 |
| 2 | 188 | 70 |
| 3 | 758 | 70 |
| 4 | 3779 | 70 |
| 0 | 10200 | 70 |
| 0 | 22 | 184 |
| 1 | 72 | 72 |
| 2 | 258 | 72 |
| 3 | 1249 | 18 |
| 0 | 6936 | 18 |
| 0 | 5 | 14 |
| 1 | 14 | 14 |
| 2 | 35 | 13 |
| 3 | 89 | 12 |
| 4 | 348 | 12 |
| 5 | 2065 | 12 |
| 0 | 8669 | 12 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 51 to 34 computations (33.3% saved)
Compiled 72 to 50 computations (30.6% saved)
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