
Time bar (total: 5.1s)
| 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 6 computations (25% saved)
ival-mult: 0.0ms (0% of total)const: 0.0ms (0% of total)ival-sqrt: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 506.0ms | 8256× | 0 | valid |
ival-mult: 131.0ms (49.1% of total)ival-sqrt: 122.0ms (45.7% of total)const: 10.0ms (3.7% of total)backward-pass: 3.0ms (1.1% of total)| 2× | egg-herbie |
| 134× | fma-define |
| 124× | fmsub-define |
| 120× | fnmsub-define |
| 120× | fnmadd-define |
| 40× | sum3-define |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 21 |
| 1 | 27 | 16 |
| 2 | 66 | 16 |
| 3 | 161 | 16 |
| 4 | 237 | 16 |
| 5 | 394 | 16 |
| 6 | 509 | 16 |
| 7 | 512 | 16 |
| 0 | 5 | 6 |
| 1 | 9 | 5 |
| 2 | 11 | 5 |
| 0 | 11 | 5 |
| 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))) |
| Inputs |
|---|
(sqrt (* (* 2 x) x)) |
(sqrt (* (* 2 (neg x)) (neg x))) |
(neg (sqrt (* (* 2 (neg x)) (neg x)))) |
| Outputs |
|---|
(sqrt (* (* 2 x) x)) |
(sqrt (* 2 (square x))) |
(sqrt (* (* 2 (neg x)) (neg x))) |
(sqrt (* 2 (square x))) |
(neg (sqrt (* (* 2 (neg x)) (neg x)))) |
(neg (sqrt (* 2 (square x)))) |
(abs x)
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 129 | 0 | - | 3 | (1.2402149907660508e-161) | (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 2 binary64) x) |
| 0 | 0 | - | 0 | - | x |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 #s(literal 2 binary64) x) x) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 165.0ms | 512× | 0 | valid |
Compiled 43 to 17 computations (60.5% saved)
ival-mult: 7.0ms (59.5% of total)ival-sqrt: 4.0ms (34% of total)const: 1.0ms (8.5% of total)backward-pass: 0.0ms (0% of total)Compiled 7 to 5 computations (28.6% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 53.5% | (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: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 16 |
| 1 | 9 | 14 |
| 2 | 11 | 14 |
| 0 | 11 | 14 |
| 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 | 53.5% | (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
| 18.0ms | 256× | 0 | valid |
Compiled 18 to 6 computations (66.7% saved)
ival-mult: 4.0ms (67.3% of total)ival-sqrt: 2.0ms (33.6% of total)const: 0.0ms (0% of total)backward-pass: 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 | |
|---|---|---|---|---|
| 2.0ms | x | @ | -inf | (* 2 x) |
| 1.0ms | x | @ | 0 | (sqrt (* (* 2 x) x)) |
| 1.0ms | x | @ | inf | (* (* 2 x) x) |
| 1.0ms | x | @ | inf | (sqrt (* (* 2 x) x)) |
| 0.0ms | x | @ | 0 | (* (* 2 x) x) |
| 1× | batch-egg-rewrite |
| 4528× | *-lowering-*.f32 |
| 4528× | *-lowering-*.f64 |
| 2564× | /-lowering-/.f32 |
| 2564× | /-lowering-/.f64 |
| 1504× | frac-times |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 14 |
| 1 | 14 | 12 |
| 2 | 36 | 12 |
| 3 | 91 | 11 |
| 4 | 358 | 11 |
| 5 | 2172 | 11 |
| 0 | 9220 | 11 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(sqrt (* (* 2 x) x)) |
(* (* 2 x) x) |
(* 2 x) |
| Outputs |
|---|
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))))) |
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 x 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 #s(literal 2 binary64) (*.f64 x 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 (pow.f64 (*.f64 #s(literal 2 binary64) (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 (pow.f64 (*.f64 #s(literal 2 binary64) (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 #s(literal 2 binary64) (*.f64 x 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 #s(literal 2 binary64) (*.f64 x 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 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1/8 binary64)) #s(literal 4 binary64)) |
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))) |
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))) #s(literal 1 binary64))) |
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (+.f64 (/.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))) #s(literal 2 binary64)) (/.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))) #s(literal 2 binary64)))) |
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x 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 1/4 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))))) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))) #s(literal 1/4 binary64))) |
(pow.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))) #s(literal 2 binary64)))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) (log.f64 (/.f64 (*.f64 x x) #s(literal 2 binary64))))))) |
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 2 binary64)) (*.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x))))))) |
(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) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) x)))))) |
(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) (+.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (*.f64 (log.f64 x) (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 #s(literal 2 binary64) (*.f64 x 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 #s(literal 2 binary64) (*.f64 x 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 #s(literal 2 binary64) (*.f64 x 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 #s(literal 2 binary64) (*.f64 x 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 #s(literal 2 binary64) (*.f64 x x)))) |
(pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4 binary64))))) #s(literal 1/8 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 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 (*.f64 #s(literal 2 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4 binary64)))) (*.f64 #s(literal 2 binary64) (*.f64 x 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 #s(literal 2 binary64) (*.f64 x 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) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 x)) |
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x 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 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4 binary64))))) #s(literal 1/8 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal 2 binary64) x)))) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1/8 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x 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)) (pow.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4 binary64))))) #s(literal 1/8 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (*.f64 (pow.f64 x #s(literal 1/8 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4 binary64))))) #s(literal 1/8 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (*.f64 #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 #s(literal 2 binary64) (*.f64 x (*.f64 x 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 #s(literal 2 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4 binary64))))) #s(literal 1/8 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1/16 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 7/16 binary64))) |
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3/4 binary64))) |
(*.f64 (*.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 #s(literal 2 binary64) (*.f64 x x)) #s(literal 3/8 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1/8 binary64))) |
(*.f64 (pow.f64 x #s(literal 3/8 binary64)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 #s(literal 2 binary64) x)))) |
(*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))) #s(literal 2 binary64)))) (exp.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))) #s(literal 2 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 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x 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 (pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/8 binary64))) (pow.f64 x #s(literal 1/8 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4 binary64)))) #s(literal 2 binary64)) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4 binary64)))) (*.f64 x x)) #s(literal 1/8 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 x 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 #s(literal 2 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4 binary64)))) (*.f64 #s(literal 2 binary64) x)) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 1/8 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 7/16 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1/16 binary64))) |
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 3/4 binary64))) |
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3/2 binary64)))) (pow.f64 x #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 x))) (pow.f64 x #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (pow.f64 x #s(literal 1/4 binary64)))) (pow.f64 x #s(literal 3/8 binary64))) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (pow.f64 x #s(literal 3/4 binary64)))) (pow.f64 x #s(literal 1/8 binary64))) |
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 x 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 (pow.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)))))) |
(/.f64 (exp.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (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 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64)) |
(pow.f64 (exp.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) (log.f64 (/.f64 (*.f64 x x) #s(literal 2 binary64))))))) |
(pow.f64 (exp.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 2 binary64)) (*.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x))))))) |
(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) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) x)))))) |
(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) (+.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (/.f64 x (*.f64 #s(literal 2 binary64) x))))))) |
(pow.f64 (exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 x 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 #s(literal 2 binary64) (*.f64 x 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 #s(literal 2 binary64) (*.f64 x 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 #s(literal 2 binary64) (*.f64 x 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 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (*.f64 #s(literal 2 binary64) x))) |
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 #s(literal 2 binary64) x))) |
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) |
(*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal 3/2 binary64))) |
(*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3/2 binary64))) (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) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 3/4 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 x #s(literal 1/4 binary64))) |
(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 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))) |
(*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 x)) |
(*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 3/4 binary64))) |
(*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 x #s(literal 1/4 binary64))) |
| 1× | egg-herbie |
| 106× | sum3-define |
| 98× | fma-define |
| 46× | fma-lowering-fma.f32 |
| 46× | fma-lowering-fma.f64 |
| 38× | *-lowering-*.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 148 |
| 1 | 17 | 136 |
| 2 | 33 | 136 |
| 3 | 37 | 136 |
| 4 | 41 | 136 |
| 5 | 63 | 136 |
| 6 | 95 | 136 |
| 7 | 107 | 136 |
| 8 | 138 | 136 |
| 9 | 231 | 136 |
| 10 | 234 | 136 |
| 0 | 234 | 136 |
| 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 #s(literal 0 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) |
(* -1 (* x (sqrt 2))) |
(-.f64 #s(literal 0 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) |
(* -1 (* x (sqrt 2))) |
(-.f64 #s(literal 0 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) |
(* -1 (* x (sqrt 2))) |
(-.f64 #s(literal 0 binary64) (*.f64 x (sqrt.f64 #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 (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 2078 to 360 computations (82.7% saved)
8 alts after pruning (7 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 147 | 7 | 154 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 147 | 8 | 155 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 26.1% | (pow.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64)) |
| ▶ | 99.5% | (*.f64 (pow.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3/4 binary64))) |
| ▶ | 99.5% | (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 x)) |
| 99.5% | (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) | |
| 82.7% | (*.f64 (pow.f64 x #s(literal 3/8 binary64)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 #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)))) |
| ▶ | 99.3% | (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
| ✓ | 53.5% | (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
Compiled 145 to 107 computations (26.2% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (pow.f64 x #s(literal 3/4 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x #s(literal 4 binary64)) |
| ✓ | cost-diff | 0 | (pow.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 (pow.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3/4 binary64))) |
| ✓ | cost-diff | 0 | (*.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 | 6656 | (*.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 x x) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x x)) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 4 binary64))) |
| ✓ | cost-diff | 0 | (pow.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64)) |
| ✓ | cost-diff | 0 | (sqrt.f64 #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
| ✓ | cost-diff | 0 | (sqrt.f64 x) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 2 binary64) x) |
| ✓ | cost-diff | 0 | (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 x)) |
| ✓ | cost-diff | 64 | (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64)) |
| 78× | *-lowering-*.f32 |
| 78× | *-lowering-*.f64 |
| 36× | associate-*r* |
| 22× | *-commutative |
| 20× | associate-*l* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 93 |
| 1 | 41 | 89 |
| 2 | 64 | 89 |
| 3 | 79 | 89 |
| 4 | 79 | 89 |
| 0 | 79 | 89 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(* (pow (* 2 x) 1/2) (sqrt x)) |
(pow (* 2 x) 1/2) |
(* 2 x) |
2 |
x |
1/2 |
(sqrt x) |
(* (sqrt 2) x) |
(sqrt 2) |
2 |
x |
(pow (* (* x (* x x)) (* x 4)) 1/4) |
(* (* x (* x x)) (* x 4)) |
(* x (* x x)) |
x |
(* x x) |
(* x 4) |
4 |
1/4 |
(* (pow 2 1/4) (* x (pow 2 1/4))) |
(pow 2 1/4) |
2 |
1/4 |
(* x (pow 2 1/4)) |
x |
(* (pow (* x 4) 1/4) (pow x 3/4)) |
(pow (* x 4) 1/4) |
(* x 4) |
x |
4 |
1/4 |
(pow x 3/4) |
3/4 |
| Outputs |
|---|
(* (pow (* 2 x) 1/2) (sqrt x)) |
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 x)) |
(pow (* 2 x) 1/2) |
(sqrt.f64 (*.f64 #s(literal 2 binary64) x)) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
2 |
#s(literal 2 binary64) |
x |
1/2 |
#s(literal 1/2 binary64) |
(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 |
(pow (* (* x (* x x)) (* x 4)) 1/4) |
(pow.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 4 binary64)))) #s(literal 1/4 binary64)) |
(* (* x (* x x)) (* x 4)) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 4 binary64)))) |
(* x (* x x)) |
(*.f64 x (*.f64 x x)) |
x |
(* x x) |
(*.f64 x x) |
(* x 4) |
(*.f64 x #s(literal 4 binary64)) |
4 |
#s(literal 4 binary64) |
1/4 |
#s(literal 1/4 binary64) |
(* (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 |
(* (pow (* x 4) 1/4) (pow x 3/4)) |
(*.f64 (pow.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3/4 binary64))) |
(pow (* x 4) 1/4) |
(pow.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) |
(* x 4) |
(*.f64 x #s(literal 4 binary64)) |
x |
4 |
#s(literal 4 binary64) |
1/4 |
#s(literal 1/4 binary64) |
(pow x 3/4) |
(pow.f64 x #s(literal 3/4 binary64)) |
3/4 |
#s(literal 3/4 binary64) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (pow.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) |
| ✓ | accuracy | 100.0% | (pow.f64 x #s(literal 3/4 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 x #s(literal 4 binary64)) |
| ✓ | accuracy | 99.5% | (*.f64 (pow.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3/4 binary64))) |
| ✓ | 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 | 100.0% | (*.f64 x #s(literal 4 binary64)) |
| ✓ | accuracy | 99.9% | (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 4 binary64))) |
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 x x)) |
| ✓ | accuracy | 26.1% | (pow.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64)) |
| ✓ | accuracy | 100.0% | (sqrt.f64 #s(literal 2 binary64)) |
| ✓ | accuracy | 99.3% | (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
| ✓ | accuracy | 100.0% | (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 2 binary64) x) |
| ✓ | accuracy | 100.0% | (sqrt.f64 x) |
| ✓ | accuracy | 99.5% | (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 x)) |
| 137.0ms | 256× | 0 | valid |
Compiled 109 to 24 computations (78% saved)
ival-pow: 43.0ms (65.8% of total)ival-mult: 18.0ms (27.6% of total)ival-sqrt: 4.0ms (6.1% of total)const: 1.0ms (1.5% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (pow (* 2 x) 1/2)> |
#<alt (* (pow (* 2 x) 1/2) (sqrt x))> |
#<alt (* 2 x)> |
#<alt (sqrt x)> |
#<alt (* (sqrt 2) x)> |
#<alt (sqrt 2)> |
#<alt (pow (* (* x (* x x)) (* x 4)) 1/4)> |
#<alt (* (* x (* x x)) (* x 4))> |
#<alt (* x (* x x))> |
#<alt (* x x)> |
#<alt (* (pow 2 1/4) (* x (pow 2 1/4)))> |
#<alt (pow 2 1/4)> |
#<alt (* x (pow 2 1/4))> |
#<alt (* (pow (* x 4) 1/4) (pow x 3/4))> |
#<alt (pow (* x 4) 1/4)> |
#<alt (* x 4)> |
#<alt (pow x 3/4)> |
| Outputs |
|---|
#<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 (* 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 (* 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 (* (pow 4 1/4) x)> |
#<alt (* (pow 4 1/4) x)> |
#<alt (* (pow 4 1/4) x)> |
#<alt (* (pow 4 1/4) x)> |
#<alt (* (pow 4 1/4) x)> |
#<alt (* (pow 4 1/4) x)> |
#<alt (* (pow 4 1/4) x)> |
#<alt (* (pow 4 1/4) x)> |
#<alt (* -1 (* (pow 4 1/4) x))> |
#<alt (* -1 (* (pow 4 1/4) x))> |
#<alt (* -1 (* (pow 4 1/4) x))> |
#<alt (* -1 (* (pow 4 1/4) x))> |
#<alt (* 4 (pow x 4))> |
#<alt (* 4 (pow x 4))> |
#<alt (* 4 (pow x 4))> |
#<alt (* 4 (pow x 4))> |
#<alt (* 4 (pow x 4))> |
#<alt (* 4 (pow x 4))> |
#<alt (* 4 (pow x 4))> |
#<alt (* 4 (pow x 4))> |
#<alt (* 4 (pow x 4))> |
#<alt (* 4 (pow x 4))> |
#<alt (* 4 (pow x 4))> |
#<alt (* 4 (pow x 4))> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 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 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 4 1/4) x)> |
#<alt (* (pow 4 1/4) x)> |
#<alt (* (pow 4 1/4) x)> |
#<alt (* (pow 4 1/4) x)> |
#<alt (* (pow 4 1/4) x)> |
#<alt (* (pow 4 1/4) x)> |
#<alt (* (pow 4 1/4) x)> |
#<alt (* (pow 4 1/4) x)> |
#<alt (* -1 (* (pow 4 1/4) x))> |
#<alt (* -1 (* (pow 4 1/4) x))> |
#<alt (* -1 (* (pow 4 1/4) x))> |
#<alt (* -1 (* (pow 4 1/4) x))> |
#<alt (exp (* 1/4 (+ (log 4) (log x))))> |
#<alt (exp (* 1/4 (+ (log 4) (log x))))> |
#<alt (exp (* 1/4 (+ (log 4) (log x))))> |
#<alt (exp (* 1/4 (+ (log 4) (log x))))> |
#<alt (exp (* 1/4 (+ (log 4) (* -1 (log (/ 1 x))))))> |
#<alt (exp (* 1/4 (+ (log 4) (* -1 (log (/ 1 x))))))> |
#<alt (exp (* 1/4 (+ (log 4) (* -1 (log (/ 1 x))))))> |
#<alt (exp (* 1/4 (+ (log 4) (* -1 (log (/ 1 x))))))> |
#<alt (exp (* 1/4 (+ (log -4) (* -1 (log (/ -1 x))))))> |
#<alt (exp (* 1/4 (+ (log -4) (* -1 (log (/ -1 x))))))> |
#<alt (exp (* 1/4 (+ (log -4) (* -1 (log (/ -1 x))))))> |
#<alt (exp (* 1/4 (+ (log -4) (* -1 (log (/ -1 x))))))> |
#<alt (* 4 x)> |
#<alt (* 4 x)> |
#<alt (* 4 x)> |
#<alt (* 4 x)> |
#<alt (* 4 x)> |
#<alt (* 4 x)> |
#<alt (* 4 x)> |
#<alt (* 4 x)> |
#<alt (* 4 x)> |
#<alt (* 4 x)> |
#<alt (* 4 x)> |
#<alt (* 4 x)> |
#<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 (exp (* 1/4 (+ (log -1) (* -3 (log (/ -1 x))))))> |
#<alt (exp (* 1/4 (+ (log -1) (* -3 (log (/ -1 x))))))> |
#<alt (exp (* 1/4 (+ (log -1) (* -3 (log (/ -1 x))))))> |
#<alt (exp (* 1/4 (+ (log -1) (* -3 (log (/ -1 x))))))> |
45 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 73.0ms | x | @ | 0 | (pow (* (* x (* x x)) (* x 4)) 1/4) |
| 34.0ms | x | @ | -inf | (pow (* x 4) 1/4) |
| 24.0ms | x | @ | 0 | (pow x 3/4) |
| 19.0ms | x | @ | 0 | (* x (pow 2 1/4)) |
| 13.0ms | x | @ | -inf | (pow x 3/4) |
| 1× | batch-egg-rewrite |
| 2806× | *-lowering-*.f32 |
| 2806× | *-lowering-*.f64 |
| 1816× | sum3-define |
| 1772× | +-lowering-+.f64 |
| 1772× | +-lowering-+.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 77 |
| 1 | 81 | 70 |
| 2 | 274 | 60 |
| 3 | 1178 | 60 |
| 4 | 5294 | 60 |
| 0 | 8329 | 60 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(pow (* 2 x) 1/2) |
(* (pow (* 2 x) 1/2) (sqrt x)) |
(* 2 x) |
(sqrt x) |
(* (sqrt 2) x) |
(sqrt 2) |
(pow (* (* x (* x x)) (* x 4)) 1/4) |
(* (* x (* x x)) (* x 4)) |
(* x (* x x)) |
(* x x) |
(* (pow 2 1/4) (* x (pow 2 1/4))) |
(pow 2 1/4) |
(* x (pow 2 1/4)) |
(* (pow (* x 4) 1/4) (pow x 3/4)) |
(pow (* x 4) 1/4) |
(* x 4) |
(pow x 3/4) |
| Outputs |
|---|
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal 2 binary64) x)))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 1/2 binary64))) (log.f64 (*.f64 #s(literal 2 binary64) x)))) |
(sqrt.f64 (*.f64 #s(literal 2 binary64) x)) |
(pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/8 binary64)) #s(literal 4 binary64)) |
(pow.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64)) |
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 #s(literal 2 binary64) x))) |
(pow.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 16 binary64))) #s(literal 1/8 binary64)) |
(pow.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal 1/4 binary64)) |
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)) |
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 (*.f64 x (*.f64 #s(literal 2 binary64) x)) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (*.f64 x (*.f64 #s(literal 2 binary64) x)) #s(literal 1/4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/8 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3/8 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3/8 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/8 binary64))) |
(*.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)))) |
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 x (*.f64 #s(literal 2 binary64) x))))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 1/4 binary64))) (log.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 4 binary64)))))))) |
(sqrt.f64 (*.f64 x (*.f64 #s(literal 2 binary64) x))) |
(pow.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 4 binary64))))) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 (*.f64 x (*.f64 #s(literal 2 binary64) x)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal 16 binary64)))) #s(literal 1/8 binary64)) |
(pow.f64 (*.f64 x (*.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64)) |
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (log.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 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 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)) |
(pow.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal 16 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal 16 binary64))))) #s(literal 1/16 binary64)) |
(pow.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 4 binary64)))))))) #s(literal 1/8 binary64)) |
(pow.f64 (exp.f64 (log.f64 (*.f64 x (*.f64 #s(literal 2 binary64) x)))) #s(literal 1/2 binary64)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (*.f64 #s(literal 4 binary64) (log.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 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 4 binary64))))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/8 binary64))) |
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/8 binary64)) (pow.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 4 binary64)))))) #s(literal 1/8 binary64)))) |
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 2 binary64) x)) #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 (*.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3/4 binary64))) |
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 4 binary64)))) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (log.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 4 binary64))))))) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 4 binary64))))) (*.f64 x (*.f64 x #s(literal 4 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 3/8 binary64)))) |
(*.f64 (pow.f64 x #s(literal 3/8 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 x (*.f64 x x))) #s(literal 1/8 binary64))) |
(*.f64 (pow.f64 x #s(literal 3/8 binary64)) (pow.f64 (*.f64 (*.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 3/2 binary64))) #s(literal 1/4 binary64))) |
(*.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 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 2 binary64) x)) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 1/8 binary64)) (pow.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 4 binary64)))))) #s(literal 1/8 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 4 binary64)))))) #s(literal 1/8 binary64)))) |
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (*.f64 (pow.f64 x #s(literal 1/8 binary64)) (pow.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 4 binary64)))) #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (pow.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 4 binary64))))) (*.f64 x (*.f64 x (*.f64 x #s(literal 4 binary64))))) #s(literal 1/8 binary64))) |
(*.f64 (pow.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 4 binary64)))) #s(literal 1/8 binary64)) (pow.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 4 binary64)))))) #s(literal 1/8 binary64))) |
(*.f64 (pow.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 1/16 binary64)) (*.f64 (pow.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 1/16 binary64)) (pow.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 4 binary64)))))) #s(literal 1/8 binary64)))) |
(*.f64 (pow.f64 x #s(literal 3/16 binary64)) (*.f64 (pow.f64 x #s(literal 3/16 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 x (*.f64 x x))) #s(literal 1/8 binary64)))) |
(*.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 (*.f64 x x) (*.f64 #s(literal 2 binary64) x)) #s(literal 1/4 binary64)))) |
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(pow.f64 (pow.f64 x #s(literal 3/16 binary64)) #s(literal 4 binary64)) |
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/8 binary64)) |
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (*.f64 (log.f64 x) #s(literal 3 binary64))) |
(pow.f64 (exp.f64 #s(literal 3/4 binary64)) (log.f64 x)) |
(*.f64 (sqrt.f64 x) (pow.f64 x #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 x)) |
(*.f64 (pow.f64 x #s(literal 3/8 binary64)) (pow.f64 x #s(literal 3/8 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (pow.f64 x #s(literal 5/8 binary64))) |
(*.f64 (pow.f64 x #s(literal 3/16 binary64)) (pow.f64 x #s(literal 9/16 binary64))) |
(*.f64 (pow.f64 x #s(literal 5/8 binary64)) (pow.f64 x #s(literal 1/8 binary64))) |
(*.f64 (pow.f64 x #s(literal 9/16 binary64)) (pow.f64 x #s(literal 3/16 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 3/4 binary64)) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 3/4 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 3/4 binary64)) (pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 3/4 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/8 binary64)) #s(literal 3/4 binary64)) (pow.f64 (pow.f64 x #s(literal 5/8 binary64)) #s(literal 3/4 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 7/8 binary64)) #s(literal 3/4 binary64)) (pow.f64 (pow.f64 x #s(literal 1/8 binary64)) #s(literal 3/4 binary64))) |
(*.f64 (pow.f64 (exp.f64 #s(literal 3/4 binary64)) (/.f64 (log.f64 x) #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal 3/4 binary64)) (/.f64 (log.f64 x) #s(literal 2 binary64)))) |
| 1× | egg-herbie |
| 2252× | fnmadd-define |
| 1540× | fma-lowering-fma.f32 |
| 1540× | fma-lowering-fma.f64 |
| 1482× | fma-define |
| 1432× | fmsub-define |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 60 | 836 |
| 1 | 140 | 820 |
| 2 | 333 | 800 |
| 3 | 594 | 776 |
| 4 | 1024 | 772 |
| 5 | 1740 | 772 |
| 6 | 3604 | 772 |
| 7 | 5417 | 772 |
| 8 | 7184 | 772 |
| 0 | 8104 | 772 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (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)))) |
(* 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)))) |
(* 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)) |
(* (pow 4 1/4) x) |
(* (pow 4 1/4) x) |
(* (pow 4 1/4) x) |
(* (pow 4 1/4) x) |
(* (pow 4 1/4) x) |
(* (pow 4 1/4) x) |
(* (pow 4 1/4) x) |
(* (pow 4 1/4) x) |
(* -1 (* (pow 4 1/4) x)) |
(* -1 (* (pow 4 1/4) x)) |
(* -1 (* (pow 4 1/4) x)) |
(* -1 (* (pow 4 1/4) x)) |
(* 4 (pow x 4)) |
(* 4 (pow x 4)) |
(* 4 (pow x 4)) |
(* 4 (pow x 4)) |
(* 4 (pow x 4)) |
(* 4 (pow x 4)) |
(* 4 (pow x 4)) |
(* 4 (pow x 4)) |
(* 4 (pow x 4)) |
(* 4 (pow x 4)) |
(* 4 (pow x 4)) |
(* 4 (pow x 4)) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 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 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 4 1/4) x) |
(* (pow 4 1/4) x) |
(* (pow 4 1/4) x) |
(* (pow 4 1/4) x) |
(* (pow 4 1/4) x) |
(* (pow 4 1/4) x) |
(* (pow 4 1/4) x) |
(* (pow 4 1/4) x) |
(* -1 (* (pow 4 1/4) x)) |
(* -1 (* (pow 4 1/4) x)) |
(* -1 (* (pow 4 1/4) x)) |
(* -1 (* (pow 4 1/4) x)) |
(exp (* 1/4 (+ (log 4) (log x)))) |
(exp (* 1/4 (+ (log 4) (log x)))) |
(exp (* 1/4 (+ (log 4) (log x)))) |
(exp (* 1/4 (+ (log 4) (log x)))) |
(exp (* 1/4 (+ (log 4) (* -1 (log (/ 1 x)))))) |
(exp (* 1/4 (+ (log 4) (* -1 (log (/ 1 x)))))) |
(exp (* 1/4 (+ (log 4) (* -1 (log (/ 1 x)))))) |
(exp (* 1/4 (+ (log 4) (* -1 (log (/ 1 x)))))) |
(exp (* 1/4 (+ (log -4) (* -1 (log (/ -1 x)))))) |
(exp (* 1/4 (+ (log -4) (* -1 (log (/ -1 x)))))) |
(exp (* 1/4 (+ (log -4) (* -1 (log (/ -1 x)))))) |
(exp (* 1/4 (+ (log -4) (* -1 (log (/ -1 x)))))) |
(* 4 x) |
(* 4 x) |
(* 4 x) |
(* 4 x) |
(* 4 x) |
(* 4 x) |
(* 4 x) |
(* 4 x) |
(* 4 x) |
(* 4 x) |
(* 4 x) |
(* 4 x) |
(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) |
(exp (* 1/4 (+ (log -1) (* -3 (log (/ -1 x)))))) |
(exp (* 1/4 (+ (log -1) (* -3 (log (/ -1 x)))))) |
(exp (* 1/4 (+ (log -1) (* -3 (log (/ -1 x)))))) |
(exp (* 1/4 (+ (log -1) (* -3 (log (/ -1 x)))))) |
| Outputs |
|---|
(* (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) (* (sqrt -2) (sqrt -1)))) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))))) |
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1)))) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))))) |
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1)))) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))))) |
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1)))) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 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 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) x)) |
(* -1 (* x (* (sqrt -2) (sqrt -1)))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) x)) |
(* -1 (* x (* (sqrt -2) (sqrt -1)))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) x)) |
(* -1 (* x (* (sqrt -2) (sqrt -1)))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) x)) |
(* 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))) |
(* (pow 4 1/4) x) |
(/.f64 x (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64))) |
(* (pow 4 1/4) x) |
(/.f64 x (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64))) |
(* (pow 4 1/4) x) |
(/.f64 x (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64))) |
(* (pow 4 1/4) x) |
(/.f64 x (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64))) |
(* (pow 4 1/4) x) |
(/.f64 x (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64))) |
(* (pow 4 1/4) x) |
(/.f64 x (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64))) |
(* (pow 4 1/4) x) |
(/.f64 x (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64))) |
(* (pow 4 1/4) x) |
(/.f64 x (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64))) |
(* -1 (* (pow 4 1/4) x)) |
(-.f64 #s(literal 0 binary64) (/.f64 x (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)))) |
(* -1 (* (pow 4 1/4) x)) |
(-.f64 #s(literal 0 binary64) (/.f64 x (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)))) |
(* -1 (* (pow 4 1/4) x)) |
(-.f64 #s(literal 0 binary64) (/.f64 x (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)))) |
(* -1 (* (pow 4 1/4) x)) |
(-.f64 #s(literal 0 binary64) (/.f64 x (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)))) |
(* 4 (pow x 4)) |
(*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) |
(* 4 (pow x 4)) |
(*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) |
(* 4 (pow x 4)) |
(*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) |
(* 4 (pow x 4)) |
(*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) |
(* 4 (pow x 4)) |
(*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) |
(* 4 (pow x 4)) |
(*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) |
(* 4 (pow x 4)) |
(*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) |
(* 4 (pow x 4)) |
(*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) |
(* 4 (pow x 4)) |
(*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) |
(* 4 (pow x 4)) |
(*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) |
(* 4 (pow x 4)) |
(*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) |
(* 4 (pow x 4)) |
(*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.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))) |
(* 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 4 1/4) x) |
(/.f64 x (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64))) |
(* (pow 4 1/4) x) |
(/.f64 x (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64))) |
(* (pow 4 1/4) x) |
(/.f64 x (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64))) |
(* (pow 4 1/4) x) |
(/.f64 x (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64))) |
(* (pow 4 1/4) x) |
(/.f64 x (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64))) |
(* (pow 4 1/4) x) |
(/.f64 x (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64))) |
(* (pow 4 1/4) x) |
(/.f64 x (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64))) |
(* (pow 4 1/4) x) |
(/.f64 x (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64))) |
(* -1 (* (pow 4 1/4) x)) |
(-.f64 #s(literal 0 binary64) (/.f64 x (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)))) |
(* -1 (* (pow 4 1/4) x)) |
(-.f64 #s(literal 0 binary64) (/.f64 x (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)))) |
(* -1 (* (pow 4 1/4) x)) |
(-.f64 #s(literal 0 binary64) (/.f64 x (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)))) |
(* -1 (* (pow 4 1/4) x)) |
(-.f64 #s(literal 0 binary64) (/.f64 x (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)))) |
(exp (* 1/4 (+ (log 4) (log x)))) |
(pow.f64 (/.f64 x #s(literal 1/4 binary64)) #s(literal 1/4 binary64)) |
(exp (* 1/4 (+ (log 4) (log x)))) |
(pow.f64 (/.f64 x #s(literal 1/4 binary64)) #s(literal 1/4 binary64)) |
(exp (* 1/4 (+ (log 4) (log x)))) |
(pow.f64 (/.f64 x #s(literal 1/4 binary64)) #s(literal 1/4 binary64)) |
(exp (* 1/4 (+ (log 4) (log x)))) |
(pow.f64 (/.f64 x #s(literal 1/4 binary64)) #s(literal 1/4 binary64)) |
(exp (* 1/4 (+ (log 4) (* -1 (log (/ 1 x)))))) |
(pow.f64 (/.f64 x #s(literal 1/4 binary64)) #s(literal 1/4 binary64)) |
(exp (* 1/4 (+ (log 4) (* -1 (log (/ 1 x)))))) |
(pow.f64 (/.f64 x #s(literal 1/4 binary64)) #s(literal 1/4 binary64)) |
(exp (* 1/4 (+ (log 4) (* -1 (log (/ 1 x)))))) |
(pow.f64 (/.f64 x #s(literal 1/4 binary64)) #s(literal 1/4 binary64)) |
(exp (* 1/4 (+ (log 4) (* -1 (log (/ 1 x)))))) |
(pow.f64 (/.f64 x #s(literal 1/4 binary64)) #s(literal 1/4 binary64)) |
(exp (* 1/4 (+ (log -4) (* -1 (log (/ -1 x)))))) |
(pow.f64 (/.f64 x #s(literal 1/4 binary64)) #s(literal 1/4 binary64)) |
(exp (* 1/4 (+ (log -4) (* -1 (log (/ -1 x)))))) |
(pow.f64 (/.f64 x #s(literal 1/4 binary64)) #s(literal 1/4 binary64)) |
(exp (* 1/4 (+ (log -4) (* -1 (log (/ -1 x)))))) |
(pow.f64 (/.f64 x #s(literal 1/4 binary64)) #s(literal 1/4 binary64)) |
(exp (* 1/4 (+ (log -4) (* -1 (log (/ -1 x)))))) |
(pow.f64 (/.f64 x #s(literal 1/4 binary64)) #s(literal 1/4 binary64)) |
(* 4 x) |
(/.f64 x #s(literal 1/4 binary64)) |
(* 4 x) |
(/.f64 x #s(literal 1/4 binary64)) |
(* 4 x) |
(/.f64 x #s(literal 1/4 binary64)) |
(* 4 x) |
(/.f64 x #s(literal 1/4 binary64)) |
(* 4 x) |
(/.f64 x #s(literal 1/4 binary64)) |
(* 4 x) |
(/.f64 x #s(literal 1/4 binary64)) |
(* 4 x) |
(/.f64 x #s(literal 1/4 binary64)) |
(* 4 x) |
(/.f64 x #s(literal 1/4 binary64)) |
(* 4 x) |
(/.f64 x #s(literal 1/4 binary64)) |
(* 4 x) |
(/.f64 x #s(literal 1/4 binary64)) |
(* 4 x) |
(/.f64 x #s(literal 1/4 binary64)) |
(* 4 x) |
(/.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)) |
(exp (* 1/4 (+ (log -1) (* -3 (log (/ -1 x)))))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -3/4 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64))) |
(exp (* 1/4 (+ (log -1) (* -3 (log (/ -1 x)))))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -3/4 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64))) |
(exp (* 1/4 (+ (log -1) (* -3 (log (/ -1 x)))))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -3/4 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64))) |
(exp (* 1/4 (+ (log -1) (* -3 (log (/ -1 x)))))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -3/4 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64))) |
Compiled 10098 to 761 computations (92.5% saved)
5 alts after pruning (2 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 760 | 2 | 762 |
| Fresh | 2 | 0 | 2 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 765 | 5 | 770 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.3% | (/.f64 x (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64))) |
| ✓ | 99.5% | (*.f64 (pow.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3/4 binary64))) |
| ▶ | 99.5% | (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 x)) |
| ✓ | 99.3% | (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
| ✓ | 53.5% | (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
Compiled 36 to 28 computations (22.2% saved)
| 1× | egg-herbie |
Found 6 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 x (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64))) |
| ✓ | 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)) |
| 8× | *-lowering-*.f32 |
| 8× | *-lowering-*.f64 |
| 4× | *-commutative |
| 4× | sqrt-lowering-sqrt.f64 |
| 4× | sqrt-lowering-sqrt.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 29 |
| 1 | 12 | 29 |
| 0 | 12 | 29 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(* (sqrt (* 2 x)) (sqrt x)) |
(sqrt (* 2 x)) |
(* 2 x) |
2 |
x |
(sqrt x) |
(/ x (pow 4 -1/4)) |
x |
(pow 4 -1/4) |
4 |
-1/4 |
| 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) |
(/ x (pow 4 -1/4)) |
(/.f64 x (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64))) |
x |
(pow 4 -1/4) |
(pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)) |
4 |
#s(literal 4 binary64) |
-1/4 |
#s(literal -1/4 binary64) |
Found 6 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)) |
| ✓ | accuracy | 99.3% | (/.f64 x (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64))) |
| ✓ | 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)) |
| 36.0ms | 256× | 0 | valid |
Compiled 31 to 11 computations (64.5% saved)
ival-sqrt: 5.0ms (34.9% of total)ival-pow: 4.0ms (27.9% of total)ival-mult: 3.0ms (20.9% of total)ival-div: 2.0ms (14% of total)const: 1.0ms (7% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* (sqrt (* 2 x)) (sqrt x))> |
#<alt (sqrt (* 2 x))> |
#<alt (* 2 x)> |
#<alt (sqrt x)> |
#<alt (/ x (pow 4 -1/4))> |
#<alt (pow 4 -1/4)> |
| 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 (* (pow 4 1/4) x)> |
#<alt (* (pow 4 1/4) x)> |
#<alt (* (pow 4 1/4) x)> |
#<alt (* (pow 4 1/4) x)> |
#<alt (* (pow 4 1/4) x)> |
#<alt (* (pow 4 1/4) x)> |
#<alt (* (pow 4 1/4) x)> |
#<alt (* (pow 4 1/4) x)> |
#<alt (* (pow 4 1/4) x)> |
#<alt (* (pow 4 1/4) x)> |
#<alt (* (pow 4 1/4) x)> |
#<alt (* (pow 4 1/4) x)> |
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 11.0ms | x | @ | 0 | (/ x (pow 4 -1/4)) |
| 0.0ms | x | @ | -inf | (/ x (pow 4 -1/4)) |
| 0.0ms | x | @ | 0 | (sqrt (* 2 x)) |
| 0.0ms | x | @ | -inf | (sqrt (* 2 x)) |
| 0.0ms | x | @ | inf | (/ x (pow 4 -1/4)) |
| 1× | batch-egg-rewrite |
| 2314× | *-lowering-*.f32 |
| 2314× | *-lowering-*.f64 |
| 1286× | +-lowering-+.f64 |
| 1286× | +-lowering-+.f32 |
| 1178× | log-prod |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 24 |
| 1 | 34 | 24 |
| 2 | 123 | 20 |
| 3 | 515 | 20 |
| 4 | 3853 | 19 |
| 0 | 8528 | 19 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (sqrt (* 2 x)) (sqrt x)) |
(sqrt (* 2 x)) |
(* 2 x) |
(sqrt x) |
(/ x (pow 4 -1/4)) |
(pow 4 -1/4) |
| Outputs |
|---|
(+.f64 #s(literal 0 binary64) (/.f64 x (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))) |
(+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) (/.f64 x (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))) |
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))))) |
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))) #s(literal 1 binary64))) |
(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 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) x))) #s(literal -1/2 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 #s(literal 2 binary64) (*.f64 x x)) (*.f64 #s(literal 2 binary64) (*.f64 x x)))) #s(literal 1/4 binary64))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))))) #s(literal 1/2 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 x (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))) |
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))) |
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64) (/.f64 x (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))) |
(neg.f64 (/.f64 x (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))) |
(/.f64 x (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) |
(/.f64 (-.f64 #s(literal 0 binary64) x) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/16 binary64)) (/.f64 x (pow.f64 #s(literal 4 binary64) #s(literal -3/16 binary64))))) |
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 #s(literal -1 binary64) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) x)) |
(/.f64 (/.f64 x (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(/.f64 (/.f64 x (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) #s(literal -1 binary64)) |
(/.f64 (/.f64 x (pow.f64 #s(literal 4 binary64) #s(literal -1/8 binary64))) (pow.f64 #s(literal 4 binary64) #s(literal -1/8 binary64))) |
(/.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (/.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/8 binary64)) x)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (*.f64 x x))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) x)) |
(/.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/16 binary64)) (/.f64 (pow.f64 #s(literal 4 binary64) #s(literal -3/16 binary64)) x)) |
(/.f64 (/.f64 x (pow.f64 #s(literal 4 binary64) #s(literal -1/16 binary64))) (pow.f64 #s(literal 4 binary64) #s(literal -3/16 binary64))) |
(/.f64 (pow.f64 #s(literal 4 binary64) #s(literal 3/16 binary64)) (/.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/16 binary64)) x)) |
(/.f64 (pow.f64 #s(literal 4 binary64) #s(literal 3/16 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 #s(literal 4 binary64) #s(literal -1/16 binary64)))) |
(/.f64 (/.f64 x (pow.f64 #s(literal 4 binary64) #s(literal -3/16 binary64))) (pow.f64 #s(literal 4 binary64) #s(literal -1/16 binary64))) |
(/.f64 (/.f64 x (pow.f64 #s(literal 4 binary64) #s(literal -3/16 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 4 binary64) #s(literal -1/16 binary64)))) |
(/.f64 (/.f64 x (pow.f64 #s(literal 4 binary64) #s(literal -3/16 binary64))) (*.f64 #s(literal 1 binary64) (pow.f64 #s(literal 4 binary64) #s(literal -1/16 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (pow.f64 #s(literal 4 binary64) #s(literal -1/8 binary64))) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (/.f64 x (pow.f64 #s(literal 4 binary64) #s(literal -1/8 binary64))))) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal -1/8 binary64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) x)) (pow.f64 #s(literal 4 binary64) #s(literal -1/2 binary64))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) x))) (pow.f64 #s(literal 4 binary64) #s(literal -1/2 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) x)) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/8 binary64)) x)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (/.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/8 binary64)) x))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (pow.f64 #s(literal 4 binary64) #s(literal -1/16 binary64))) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (/.f64 x (pow.f64 #s(literal 4 binary64) #s(literal -3/16 binary64))))) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal -1/16 binary64)))) |
(/.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/16 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 #s(literal 4 binary64) #s(literal -3/16 binary64)) x)) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (*.f64 (*.f64 x x) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (pow.f64 #s(literal 4 binary64) #s(literal 3/16 binary64))) (*.f64 (*.f64 x x) (pow.f64 #s(literal 4 binary64) #s(literal -1/16 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal -1 binary64)) (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (pow.f64 #s(literal 4 binary64) #s(literal 3/16 binary64))) (*.f64 x (pow.f64 #s(literal 4 binary64) #s(literal -1/16 binary64)))) |
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 #s(literal 4 binary64) #s(literal -1/16 binary64)))) (pow.f64 #s(literal 4 binary64) #s(literal -3/16 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) (*.f64 (*.f64 x x) (pow.f64 #s(literal 4 binary64) #s(literal -1/8 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) (*.f64 x (pow.f64 #s(literal 4 binary64) #s(literal -1/8 binary64)))) |
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(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 #s(literal 16 binary64)))) #s(literal -1/8 binary64))) |
(-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 #s(literal 4 binary64) #s(literal -1/2 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) |
(fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64) #s(literal 0 binary64)) |
(fma.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/8 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal -1/8 binary64)) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/16 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal -3/16 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/16 binary64)) (/.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/16 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/16 binary64)) (/.f64 (pow.f64 #s(literal 4 binary64) #s(literal -3/16 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/16 binary64)) (/.f64 (pow.f64 #s(literal 4 binary64) #s(literal -3/16 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/16 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal -3/16 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/16 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal -3/16 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 #s(literal 4 binary64) #s(literal -3/4 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 4 binary64) #s(literal -1/2 binary64))) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/32 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/32 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal -3/16 binary64))) #s(literal 0 binary64)) |
(fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 4 binary64) #s(literal -1/16 binary64))) (pow.f64 #s(literal 4 binary64) #s(literal -3/16 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 #s(literal 4 binary64) #s(literal -3/16 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal -1/16 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 #s(literal 4 binary64) #s(literal -3/16 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 4 binary64) #s(literal -1/16 binary64))) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 #s(literal 4 binary64) #s(literal -3/16 binary64)) (/.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/16 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 #s(literal 4 binary64) #s(literal -3/16 binary64)) (/.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/16 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 #s(literal 4 binary64) #s(literal -3/16 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/16 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 #s(literal 4 binary64) #s(literal -3/16 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/16 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/16 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/16 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (/.f64 (log.f64 #s(literal 4 binary64)) #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (/.f64 (log.f64 #s(literal 4 binary64)) #s(literal 2 binary64))) #s(literal 0 binary64)) |
(fma.f64 (*.f64 #s(literal 1 binary64) (pow.f64 #s(literal 4 binary64) #s(literal -1/16 binary64))) (pow.f64 #s(literal 4 binary64) #s(literal -3/16 binary64)) #s(literal 0 binary64)) |
(fma.f64 (*.f64 #s(literal 1 binary64) (pow.f64 #s(literal 4 binary64) #s(literal -3/16 binary64))) (pow.f64 #s(literal 4 binary64) #s(literal -1/16 binary64)) #s(literal 0 binary64)) |
(fma.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal -3/16 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal -1/32 binary64))) (pow.f64 #s(literal 4 binary64) #s(literal -1/32 binary64)) #s(literal 0 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 4 binary64) #s(literal 3/16 binary64))) (pow.f64 #s(literal 4 binary64) #s(literal -1/16 binary64)) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/8 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/16 binary64))) (pow.f64 #s(literal 4 binary64) #s(literal -1/16 binary64)) #s(literal 0 binary64)) |
(neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) |
(/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/2 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal -3/4 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal -1/2 binary64)))) |
(/.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/8 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) |
(/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) |
(/.f64 (pow.f64 #s(literal 4 binary64) #s(literal -3/4 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal -1/2 binary64))) |
(/.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) |
(pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) |
(pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)) |
(pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/8 binary64)) #s(literal 2 binary64)) |
(pow.f64 #s(literal 16 binary64) #s(literal -1/8 binary64)) |
(pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/16 binary64)) #s(literal 4 binary64)) |
(pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal -2 binary64)) |
(pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal -2 binary64)) |
(pow.f64 (exp.f64 #s(literal -1/4 binary64)) (log.f64 #s(literal 4 binary64))) |
(pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 (log.f64 #s(literal 4 binary64)) #s(literal 1 binary64))) |
(pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 (log.f64 #s(literal 1/4 binary64)) #s(literal -1 binary64))) |
(pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 (*.f64 (log.f64 #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/32 binary64)) #s(literal 8 binary64)) |
(pow.f64 #s(literal 256 binary64) #s(literal -1/16 binary64)) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1/4 binary64) (log.f64 #s(literal 1/4 binary64)))) |
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (*.f64 (log.f64 #s(literal 4 binary64)) #s(literal -1 binary64))) |
(pow.f64 (exp.f64 (log.f64 #s(literal 1/4 binary64))) #s(literal 1/4 binary64)) |
(pow.f64 (exp.f64 (log.f64 #s(literal 16 binary64))) #s(literal -1/8 binary64)) |
(pow.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64)) |
(pow.f64 (exp.f64 #s(literal -1/8 binary64)) (*.f64 (log.f64 #s(literal 4 binary64)) #s(literal 2 binary64))) |
(pow.f64 (/.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/2 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal -3/4 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal -1/2 binary64))) #s(literal -1 binary64)) |
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/8 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal -1/8 binary64))) |
(*.f64 #s(literal -1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/16 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal -3/16 binary64))) |
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/16 binary64)) (/.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/16 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))) |
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/16 binary64)) (/.f64 (pow.f64 #s(literal 4 binary64) #s(literal -3/16 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/16 binary64)) (/.f64 (pow.f64 #s(literal 4 binary64) #s(literal -3/16 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/16 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal -3/16 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/16 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal -3/16 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal -3/4 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 4 binary64) #s(literal -1/2 binary64)))) |
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/32 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/32 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal -3/16 binary64)))) |
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 4 binary64) #s(literal -1/16 binary64))) (pow.f64 #s(literal 4 binary64) #s(literal -3/16 binary64))) |
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal -3/16 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal -1/16 binary64))) |
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal -3/16 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 4 binary64) #s(literal -1/16 binary64)))) |
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal -3/16 binary64)) (/.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/16 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal -3/16 binary64)) (/.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/16 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal -3/16 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/16 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal -3/16 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/16 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/16 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/16 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))) |
(*.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (/.f64 (log.f64 #s(literal 4 binary64)) #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (/.f64 (log.f64 #s(literal 4 binary64)) #s(literal 2 binary64)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 #s(literal 4 binary64) #s(literal -1/16 binary64))) (pow.f64 #s(literal 4 binary64) #s(literal -3/16 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 #s(literal 4 binary64) #s(literal -3/16 binary64))) (pow.f64 #s(literal 4 binary64) #s(literal -1/16 binary64))) |
(*.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal -3/16 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal -1/32 binary64))) (pow.f64 #s(literal 4 binary64) #s(literal -1/32 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 4 binary64) #s(literal 3/16 binary64))) (pow.f64 #s(literal 4 binary64) #s(literal -1/16 binary64))) |
(*.f64 (/.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/8 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/16 binary64))) (pow.f64 #s(literal 4 binary64) #s(literal -1/16 binary64))) |
| 1× | egg-herbie |
| 3612× | fnmadd-define |
| 2834× | sum3-define |
| 1256× | *-lowering-*.f32 |
| 1256× | *-lowering-*.f64 |
| 1168× | fnmsub-define |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 260 |
| 1 | 47 | 260 |
| 2 | 122 | 260 |
| 3 | 246 | 260 |
| 4 | 484 | 260 |
| 5 | 915 | 260 |
| 6 | 2056 | 260 |
| 7 | 2774 | 260 |
| 8 | 3192 | 260 |
| 9 | 3374 | 260 |
| 10 | 3596 | 260 |
| 11 | 4247 | 260 |
| 12 | 4798 | 260 |
| 13 | 4828 | 260 |
| 14 | 4921 | 260 |
| 15 | 4949 | 260 |
| 16 | 4961 | 260 |
| 17 | 5001 | 260 |
| 18 | 5001 | 260 |
| 19 | 5015 | 260 |
| 20 | 5167 | 260 |
| 21 | 6581 | 260 |
| 0 | 8457 | 260 |
| 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))) |
(* (pow 4 1/4) x) |
(* (pow 4 1/4) x) |
(* (pow 4 1/4) x) |
(* (pow 4 1/4) x) |
(* (pow 4 1/4) x) |
(* (pow 4 1/4) x) |
(* (pow 4 1/4) x) |
(* (pow 4 1/4) x) |
(* (pow 4 1/4) x) |
(* (pow 4 1/4) x) |
(* (pow 4 1/4) x) |
(* (pow 4 1/4) 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) (sqrt -1)))) |
(-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) |
(* -1 (* x (* (sqrt -2) (sqrt -1)))) |
(-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) |
(* -1 (* x (* (sqrt -2) (sqrt -1)))) |
(-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) |
(* -1 (* x (* (sqrt -2) (sqrt -1)))) |
(-.f64 #s(literal 0 binary64) (*.f64 x (*.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 #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x)))) |
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1)))) |
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x)))) |
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1)))) |
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x)))) |
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1)))) |
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x)))) |
(* 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) |
(* (pow 4 1/4) x) |
(*.f64 x (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))) |
(* (pow 4 1/4) x) |
(*.f64 x (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))) |
(* (pow 4 1/4) x) |
(*.f64 x (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))) |
(* (pow 4 1/4) x) |
(*.f64 x (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))) |
(* (pow 4 1/4) x) |
(*.f64 x (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))) |
(* (pow 4 1/4) x) |
(*.f64 x (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))) |
(* (pow 4 1/4) x) |
(*.f64 x (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))) |
(* (pow 4 1/4) x) |
(*.f64 x (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))) |
(* (pow 4 1/4) x) |
(*.f64 x (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))) |
(* (pow 4 1/4) x) |
(*.f64 x (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))) |
(* (pow 4 1/4) x) |
(*.f64 x (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))) |
(* (pow 4 1/4) x) |
(*.f64 x (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))) |
Compiled 6349 to 852 computations (86.6% saved)
6 alts after pruning (2 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 576 | 2 | 578 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 2 | 2 |
| Done | 1 | 2 | 3 |
| Total | 577 | 6 | 583 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.3% | (/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) x)) |
| ✓ | 99.3% | (/.f64 x (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64))) |
| ▶ | 99.3% | (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) x)) |
| ✓ | 99.5% | (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 x)) |
| ✓ | 99.3% | (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
| ✓ | 53.5% | (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
Compiled 41 to 33 computations (19.5% saved)
| 1× | egg-herbie |
Found 6 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) x) |
| ✓ | cost-diff | 0 | (sqrt.f64 #s(literal 2 binary64)) |
| ✓ | cost-diff | 128 | (/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) x)) |
| ✓ | cost-diff | 0 | (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) x) |
| ✓ | cost-diff | 128 | (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) x)) |
| 44× | *-lowering-*.f32 |
| 44× | *-lowering-*.f64 |
| 32× | /-lowering-/.f32 |
| 32× | /-lowering-/.f64 |
| 10× | *-commutative |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 30 |
| 1 | 18 | 29 |
| 2 | 25 | 28 |
| 3 | 36 | 28 |
| 4 | 53 | 28 |
| 5 | 57 | 28 |
| 6 | 66 | 28 |
| 7 | 69 | 28 |
| 8 | 70 | 28 |
| 0 | 70 | 28 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/ 1 (/ (pow 2 -1/2) x)) |
1 |
(/ (pow 2 -1/2) x) |
(pow 2 -1/2) |
2 |
-1/2 |
x |
(/ (sqrt 2) (/ 1 x)) |
(sqrt 2) |
2 |
(/ 1 x) |
1 |
x |
| Outputs |
|---|
(/ 1 (/ (pow 2 -1/2) x)) |
(/.f64 x (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) |
1 |
#s(literal 1 binary64) |
(/ (pow 2 -1/2) x) |
(/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) x) |
(pow 2 -1/2) |
(pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) |
2 |
#s(literal 2 binary64) |
-1/2 |
#s(literal -1/2 binary64) |
x |
(/ (sqrt 2) (/ 1 x)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(sqrt 2) |
(sqrt.f64 #s(literal 2 binary64)) |
2 |
#s(literal 2 binary64) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
1 |
#s(literal 1 binary64) |
x |
Found 6 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) x) |
| ✓ | accuracy | 100.0% | (sqrt.f64 #s(literal 2 binary64)) |
| ✓ | accuracy | 99.3% | (/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) x)) |
| ✓ | accuracy | 100.0% | (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) |
| ✓ | accuracy | 99.5% | (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) x)) |
| ✓ | accuracy | 99.3% | (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) x) |
| 38.0ms | 256× | 0 | valid |
Compiled 35 to 11 computations (68.6% saved)
ival-div: 7.0ms (48.1% of total)ival-pow: 4.0ms (27.5% of total)ival-sqrt: 3.0ms (20.6% of total)const: 1.0ms (6.9% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ 1 (/ (pow 2 -1/2) x))> |
#<alt (/ (pow 2 -1/2) x)> |
#<alt (pow 2 -1/2)> |
#<alt (/ (sqrt 2) (/ 1 x))> |
#<alt (sqrt 2)> |
#<alt (/ 1 x)> |
| Outputs |
|---|
#<alt (/ x (sqrt 1/2))> |
#<alt (/ x (sqrt 1/2))> |
#<alt (/ x (sqrt 1/2))> |
#<alt (/ x (sqrt 1/2))> |
#<alt (/ x (sqrt 1/2))> |
#<alt (/ x (sqrt 1/2))> |
#<alt (/ x (sqrt 1/2))> |
#<alt (/ x (sqrt 1/2))> |
#<alt (/ x (sqrt 1/2))> |
#<alt (/ x (sqrt 1/2))> |
#<alt (/ x (sqrt 1/2))> |
#<alt (/ x (sqrt 1/2))> |
#<alt (/ (sqrt 1/2) x)> |
#<alt (/ (sqrt 1/2) x)> |
#<alt (/ (sqrt 1/2) x)> |
#<alt (/ (sqrt 1/2) x)> |
#<alt (/ (sqrt 1/2) x)> |
#<alt (/ (sqrt 1/2) x)> |
#<alt (/ (sqrt 1/2) x)> |
#<alt (/ (sqrt 1/2) x)> |
#<alt (/ (sqrt 1/2) x)> |
#<alt (/ (sqrt 1/2) x)> |
#<alt (/ (sqrt 1/2) x)> |
#<alt (/ (sqrt 1/2) 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 (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (/ 1 (/ (pow 2 -1/2) x)) |
| 1.0ms | x | @ | 0 | (/ 1 (/ (pow 2 -1/2) x)) |
| 0.0ms | x | @ | -inf | (/ 1 (/ (pow 2 -1/2) x)) |
| 0.0ms | x | @ | 0 | (/ (pow 2 -1/2) x) |
| 0.0ms | x | @ | -inf | (/ (pow 2 -1/2) x) |
| 1× | batch-egg-rewrite |
| 2862× | *-lowering-*.f32 |
| 2862× | *-lowering-*.f64 |
| 2106× | /-lowering-/.f32 |
| 2106× | /-lowering-/.f64 |
| 1412× | sum3-define |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 24 |
| 1 | 53 | 20 |
| 2 | 235 | 18 |
| 3 | 1130 | 18 |
| 4 | 7456 | 18 |
| 0 | 8264 | 18 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 (/ (pow 2 -1/2) x)) |
(/ (pow 2 -1/2) x) |
(pow 2 -1/2) |
(/ (sqrt 2) (/ 1 x)) |
(sqrt 2) |
(/ 1 x) |
| Outputs |
|---|
(+.f64 #s(literal 0 binary64) (/.f64 x (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))) |
(+.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)) (/.f64 x (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))) |
(+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64)) (/.f64 x (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))) |
(exp.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x))))) |
(exp.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal -1/4 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x))) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (neg.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))) #s(literal -1/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (+.f64 (neg.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))) #s(literal -1/2 binary64))) (neg.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))) #s(literal -1/2 binary64))))) |
(exp.f64 (-.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) (log.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)) x)))) |
(-.f64 #s(literal 0 binary64) (/.f64 x (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))) |
(neg.f64 (/.f64 x (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) x)) |
(/.f64 #s(literal 1 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))))) |
(/.f64 x (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) |
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))) |
(/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) x))) |
(/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) x))) |
(/.f64 (/.f64 x (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal -1/4 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/4 binary64))) |
(/.f64 (/.f64 x (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))) #s(literal -1 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 1/4 binary64)) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)) x)) |
(/.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) (sqrt.f64 #s(literal 2 binary64)))) |
(/.f64 (sqrt.f64 x) (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))) (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64))) |
(/.f64 (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal -3/8 binary64))) |
(/.f64 (/.f64 x (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/8 binary64)) #s(literal -1 binary64))) (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal -3/8 binary64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (*.f64 x x))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64))) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 2 binary64))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) x)) |
(/.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -3/8 binary64)) x)) |
(/.f64 (/.f64 x (pow.f64 #s(literal 2 binary64) #s(literal -3/8 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal -1/8 binary64))) |
(/.f64 (/.f64 x (pow.f64 #s(literal 2 binary64) #s(literal -3/8 binary64))) (*.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/8 binary64)))) |
(/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64)))) |
(/.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/8 binary64)) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/8 binary64)) x)) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))) (/.f64 #s(literal -1 binary64) x)) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))) (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) x)) #s(literal 1/2 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) x)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) x))) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))))) (/.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (/.f64 x (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (/.f64 x (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))))) (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))))) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)))) |
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(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1/2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x))) (/.f64 #s(literal 1 binary64) x)) |
(+.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) |
(+.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) |
(exp.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 1/2 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal -1/4 binary64)) #s(literal -2 binary64))) |
(exp.f64 (*.f64 (log.f64 #s(literal 4 binary64)) #s(literal 1/4 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) |
(exp.f64 (+.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))) |
(exp.f64 (-.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal -1/4 binary64)))) |
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64)))) |
(sqrt.f64 #s(literal 2 binary64)) |
(neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/8 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/8 binary64)))) |
(/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) |
(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1 binary64)) |
(/.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))) |
(/.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)))) |
(/.f64 (*.f64 #s(literal -1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))) (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal -3/8 binary64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64))) #s(literal -2 binary64)) |
(/.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -3/8 binary64))) |
(/.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/8 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1/8 binary64))) |
(/.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/8 binary64)) (*.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/8 binary64)))) |
(/.f64 (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/8 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/8 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64))) #s(literal 2 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64))) #s(literal 2 binary64)) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) #s(literal -1 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)))) |
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)))) #s(literal 2 binary64)) |
(/.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/8 binary64)) #s(literal 1 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1/8 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64))) #s(literal -1 binary64)) #s(literal 2 binary64)) |
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal -1/8 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/8 binary64)))) |
(/.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/8 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1/16 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal -1/16 binary64))) |
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) |
(pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)) #s(literal -2 binary64)) |
(pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/8 binary64)) #s(literal -4 binary64)) |
(pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 #s(literal 1/2 binary64))) |
(pow.f64 (exp.f64 #s(literal -1/2 binary64)) (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal -1 binary64))) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 2 binary64)))) |
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) |
(pow.f64 (exp.f64 (log.f64 #s(literal 1/2 binary64))) #s(literal -1/2 binary64)) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 #s(literal 2 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1 binary64)) |
(*.f64 (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 1/4 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) #s(literal -1 binary64))) |
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/8 binary64))) |
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal -3/8 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/8 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))) |
(*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal -3/8 binary64)) #s(literal -1 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -3/2 binary64)))) #s(literal 1/2 binary64)) |
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) |
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x)) |
(exp.f64 (log.f64 (/.f64 #s(literal 1 binary64) x))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 x)) #s(literal 2 binary64))) |
(exp.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 x)) (*.f64 #s(literal -1/2 binary64) (log.f64 x)))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x)) |
(neg.f64 (/.f64 #s(literal -1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) |
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)) |
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x))) |
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x))) |
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x))) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 0 binary64) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 0 binary64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) |
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) |
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x))) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x)) |
(pow.f64 x #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal -1/2 binary64)) |
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1/2 binary64)) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 x)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64))))) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))) |
(*.f64 (pow.f64 x #s(literal -1/4 binary64)) (*.f64 (pow.f64 x #s(literal -1/4 binary64)) (pow.f64 x #s(literal -1/2 binary64)))) |
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64)))) |
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(*.f64 (*.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64)))) (pow.f64 x #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x x)) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x))) x) |
| 1× | egg-herbie |
| 6× | /-lowering-/.f32 |
| 6× | /-lowering-/.f64 |
| 4× | sqrt-lowering-sqrt.f64 |
| 4× | *-lowering-*.f32 |
| 4× | *-lowering-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 168 |
| 1 | 14 | 168 |
| 0 | 14 | 168 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/ x (sqrt 1/2)) |
(/ x (sqrt 1/2)) |
(/ x (sqrt 1/2)) |
(/ x (sqrt 1/2)) |
(/ x (sqrt 1/2)) |
(/ x (sqrt 1/2)) |
(/ x (sqrt 1/2)) |
(/ x (sqrt 1/2)) |
(/ x (sqrt 1/2)) |
(/ x (sqrt 1/2)) |
(/ x (sqrt 1/2)) |
(/ x (sqrt 1/2)) |
(/ (sqrt 1/2) x) |
(/ (sqrt 1/2) x) |
(/ (sqrt 1/2) x) |
(/ (sqrt 1/2) x) |
(/ (sqrt 1/2) x) |
(/ (sqrt 1/2) x) |
(/ (sqrt 1/2) x) |
(/ (sqrt 1/2) x) |
(/ (sqrt 1/2) x) |
(/ (sqrt 1/2) x) |
(/ (sqrt 1/2) x) |
(/ (sqrt 1/2) 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)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
| Outputs |
|---|
(/ x (sqrt 1/2)) |
(/.f64 x (sqrt.f64 #s(literal 1/2 binary64))) |
(/ x (sqrt 1/2)) |
(/.f64 x (sqrt.f64 #s(literal 1/2 binary64))) |
(/ x (sqrt 1/2)) |
(/.f64 x (sqrt.f64 #s(literal 1/2 binary64))) |
(/ x (sqrt 1/2)) |
(/.f64 x (sqrt.f64 #s(literal 1/2 binary64))) |
(/ x (sqrt 1/2)) |
(/.f64 x (sqrt.f64 #s(literal 1/2 binary64))) |
(/ x (sqrt 1/2)) |
(/.f64 x (sqrt.f64 #s(literal 1/2 binary64))) |
(/ x (sqrt 1/2)) |
(/.f64 x (sqrt.f64 #s(literal 1/2 binary64))) |
(/ x (sqrt 1/2)) |
(/.f64 x (sqrt.f64 #s(literal 1/2 binary64))) |
(/ x (sqrt 1/2)) |
(/.f64 x (sqrt.f64 #s(literal 1/2 binary64))) |
(/ x (sqrt 1/2)) |
(/.f64 x (sqrt.f64 #s(literal 1/2 binary64))) |
(/ x (sqrt 1/2)) |
(/.f64 x (sqrt.f64 #s(literal 1/2 binary64))) |
(/ x (sqrt 1/2)) |
(/.f64 x (sqrt.f64 #s(literal 1/2 binary64))) |
(/ (sqrt 1/2) x) |
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) |
(/ (sqrt 1/2) x) |
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) |
(/ (sqrt 1/2) x) |
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) |
(/ (sqrt 1/2) x) |
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) |
(/ (sqrt 1/2) x) |
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) |
(/ (sqrt 1/2) x) |
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) |
(/ (sqrt 1/2) x) |
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) |
(/ (sqrt 1/2) x) |
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) |
(/ (sqrt 1/2) x) |
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) |
(/ (sqrt 1/2) x) |
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) |
(/ (sqrt 1/2) x) |
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) |
(/ (sqrt 1/2) x) |
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) 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))) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
Compiled 9355 to 1360 computations (85.5% saved)
5 alts after pruning (2 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 691 | 2 | 693 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 0 | 2 |
| Done | 1 | 3 | 4 |
| Total | 694 | 5 | 699 |
| Status | Accuracy | Program |
|---|---|---|
| 99.3% | (/.f64 x (sqrt.f64 #s(literal 1/2 binary64))) | |
| 99.3% | (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)) | |
| ✓ | 99.5% | (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 x)) |
| ✓ | 99.3% | (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
| ✓ | 53.5% | (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
Compiled 136 to 75 computations (44.9% saved)
| Inputs |
|---|
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(/.f64 x (sqrt.f64 #s(literal 1/2 binary64))) |
(/.f64 x (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64))) |
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)) |
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) x)) |
(pow.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64)) |
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 x)) |
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64)) (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 (pow.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3/4 binary64))) |
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 x #s(literal 3/8 binary64)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 #s(literal 2 binary64) x)))) |
| Outputs |
|---|
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 x)) |
3 calls:
| 8.0ms | (*.f64 (*.f64 #s(literal 2 binary64) x) x) |
| 5.0ms | 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 |
|---|
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(/.f64 x (sqrt.f64 #s(literal 1/2 binary64))) |
(/.f64 x (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64))) |
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)) |
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) x)) |
(pow.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64)) |
| Outputs |
|---|
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) x)) |
3 calls:
| 4.0ms | (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
| 3.0ms | x |
| 3.0ms | (*.f64 (*.f64 #s(literal 2 binary64) x) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.3% | 1 | x |
| 99.3% | 1 | (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
| 99.3% | 1 | (*.f64 (*.f64 #s(literal 2 binary64) x) x) |
Compiled 15 to 10 computations (33.3% saved)
| Inputs |
|---|
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(/.f64 x (sqrt.f64 #s(literal 1/2 binary64))) |
(/.f64 x (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64))) |
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)) |
| Outputs |
|---|
(/.f64 x (sqrt.f64 #s(literal 1/2 binary64))) |
3 calls:
| 2.0ms | x |
| 2.0ms | (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
| 2.0ms | (*.f64 (*.f64 #s(literal 2 binary64) x) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.3% | 1 | x |
| 99.3% | 1 | (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
| 99.3% | 1 | (*.f64 (*.f64 #s(literal 2 binary64) x) x) |
Compiled 15 to 10 computations (33.3% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
| Outputs |
|---|
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
1 calls:
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.3% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| 1× | egg-herbie |
| 6× | *-commutative_binary64 |
| 2× | 1-exp_binary64 |
| 2× | 1-exp_binary32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 21 |
| 1 | 20 | 21 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 x)) |
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 x (sqrt.f64 #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
| Outputs |
|---|
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 x)) |
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 x (sqrt.f64 #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
| 4528× | *-lowering-*.f32 |
| 4528× | *-lowering-*.f64 |
| 2806× | *-lowering-*.f32 |
| 2806× | *-lowering-*.f64 |
| 2564× | /-lowering-/.f32 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 77 |
| 1 | 81 | 70 |
| 2 | 274 | 60 |
| 3 | 1178 | 60 |
| 4 | 5294 | 60 |
| 0 | 8329 | 60 |
| 0 | 10 | 24 |
| 1 | 34 | 24 |
| 2 | 123 | 20 |
| 3 | 515 | 20 |
| 4 | 3853 | 19 |
| 0 | 8528 | 19 |
| 0 | 5 | 14 |
| 1 | 14 | 12 |
| 2 | 36 | 12 |
| 3 | 91 | 11 |
| 4 | 358 | 11 |
| 5 | 2172 | 11 |
| 0 | 9220 | 11 |
| 0 | 10 | 168 |
| 1 | 14 | 168 |
| 0 | 14 | 168 |
| 1× | fuel |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 98 to 74 computations (24.5% saved)
Compiled 90 to 62 computations (31.1% saved)
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