
Time bar (total: 6.1s)
| 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 7 computations (12.5% saved)
| 403.0ms | 8 256× | 0 | valid |
ival-mult: 161.0ms (69.5% of total)ival-sqrt: 57.0ms (24.6% of total)ival-true: 6.0ms (2.6% of total)exact: 4.0ms (1.7% of total)ival-assert: 3.0ms (1.3% of total)| 2× | egg-herbie |
| 32× | associate-*r* |
| 28× | distribute-lft-neg-in |
| 28× | associate-*l* |
| 24× | distribute-lft-in |
| 24× | neg-sub0 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 19 |
| 1 | 25 | 19 |
| 2 | 64 | 19 |
| 3 | 139 | 19 |
| 4 | 202 | 19 |
| 5 | 219 | 19 |
| 6 | 221 | 19 |
| 0 | 5 | 6 |
| 1 | 8 | 6 |
| 2 | 11 | 6 |
| 0 | 11 | 6 |
| 1× | iter limit |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
(sqrt (* 2 (* x x))) |
| Outputs |
|---|
(sqrt (* 2 (* x x))) |
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))) |
| 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 (* (neg x) (neg x)))) |
(sqrt (* 2 (* x x))) |
(neg (sqrt (* 2 (* (neg x) (neg x))))) |
(neg (sqrt (* 2 (* x x)))) |
(abs x)
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 132 | 0 | - | 4 | (1.5736118008543633e-158) | (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 x x) |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 2 binary64) (*.f64 x x)) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
sqrt.f64 | (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))) | oflow-rescue | 69 | 0 |
| ↳ | (*.f64 #s(literal 2 binary64) (*.f64 x x)) | overflow | 70 | |
| ↳ | (*.f64 x x) | overflow | 70 | |
| ↳ | (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))) | overflow | 1 | |
sqrt.f64 | (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))) | uflow-rescue | 59 | 0 |
| ↳ | (*.f64 #s(literal 2 binary64) (*.f64 x x)) | underflow | 59 | |
| ↳ | (*.f64 x x) | underflow | 59 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 128 | 4 |
| - | 0 | 124 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 128 | 0 | 4 |
| - | 0 | 0 | 124 |
| number | freq |
|---|---|
| 0 | 128 |
| 1 | 128 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 27.0ms | 512× | 0 | valid |
Compiled 50 to 24 computations (52% saved)
ival-mult: 11.0ms (72.6% of total)ival-sqrt: 4.0ms (26.4% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Compiled 1 to 1 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 53.0% | (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 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 x x) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 2 binary64) (*.f64 x x)) |
| ✓ | cost-diff | 0 | (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))) |
| 14× | *-lowering-*.f32 |
| 14× | *-lowering-*.f64 |
| 6× | *-commutative |
| 2× | sqrt-lowering-sqrt.f64 |
| 2× | associate-*r* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 16 |
| 1 | 8 | 16 |
| 2 | 11 | 16 |
| 0 | 11 | 16 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(sqrt (* 2 (* x x))) |
(* 2 (* x x)) |
2 |
(* x x) |
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 |
#s(literal 2 binary64) |
(* x x) |
(*.f64 x x) |
x |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 2 binary64) (*.f64 x x)) |
| ✓ | accuracy | 53.0% | (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))) |
| 10.0ms | 256× | 0 | valid |
Compiled 18 to 7 computations (61.1% saved)
ival-mult: 3.0ms (56.1% of total)ival-sqrt: 2.0ms (37.4% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (sqrt (* 2 (* x x)))> |
#<alt (* 2 (* x x))> |
#<alt (* x 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 (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)> |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (* x x) |
| 1.0ms | x | @ | 0 | (sqrt (* 2 (* x x))) |
| 1.0ms | x | @ | inf | (* 2 (* x x)) |
| 0.0ms | x | @ | inf | (sqrt (* 2 (* x x))) |
| 0.0ms | x | @ | 0 | (* 2 (* x x)) |
| 1× | batch-egg-rewrite |
| 6 020× | accelerator-lowering-fma.f32 |
| 6 020× | accelerator-lowering-fma.f64 |
| 3 692× | *-lowering-*.f32 |
| 3 692× | *-lowering-*.f64 |
| 1 894× | pow-lowering-pow.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 14 |
| 1 | 14 | 13 |
| 2 | 43 | 12 |
| 3 | 120 | 12 |
| 4 | 577 | 12 |
| 5 | 3941 | 12 |
| 0 | 8197 | 12 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(sqrt (* 2 (* x x))) |
(* 2 (* x x)) |
(* x x) |
| Outputs |
|---|
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))))) |
(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 (*.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 (*.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 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 #s(literal 2 binary64)) #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x))))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)))))) |
(/.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log.f64 (/.f64 (*.f64 x x) #s(literal 2 binary64))))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (log.f64 (/.f64 (*.f64 x x) #s(literal 2 binary64)))))) |
(/.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 (pow.f64 (log.f64 (*.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 (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 (exp.f64 #s(literal 2 binary64)) (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))) #s(literal 1/4 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 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 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 (*.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 (*.f64 #s(literal 4 binary64) (pow.f64 (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 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 #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 (*.f64 #s(literal 2 binary64) x) x)))) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) x)))) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(*.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 (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 x (*.f64 (*.f64 x x) #s(literal 4 binary64))) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 3/8 binary64)))) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3/2 binary64)))))) |
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)) (pow.f64 (*.f64 x (*.f64 #s(literal 2 binary64) (*.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 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)) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))))) |
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (*.f64 (pow.f64 x #s(literal 3/8 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64)))) |
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (*.f64 (pow.f64 x #s(literal 1/8 binary64)) (pow.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 4 binary64))) #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 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 x)) #s(literal 3/8 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 x #s(literal 1/8 binary64)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal 7/4 binary64)) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3/2 binary64)))))) |
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal 5/4 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 x))))) |
(*.f64 (pow.f64 x #s(literal 3/8 binary64)) (*.f64 (pow.f64 x #s(literal 1/8 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/2 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)))) |
(*.f64 (pow.f64 x #s(literal 3/8 binary64)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 x))))) |
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))) |
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 3/8 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 x (*.f64 #s(literal 2 binary64) (*.f64 x x))) #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/8 binary64)) (*.f64 (pow.f64 x #s(literal 1/8 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 3/8 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 (*.f64 x (*.f64 (*.f64 x x) #s(literal 4 binary64))) #s(literal 1/4 binary64)) (pow.f64 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 (*.f64 #s(literal 2 binary64) (*.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 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 (*.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 5/8 binary64)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 x))))) |
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(*.f64 (pow.f64 x #s(literal 3/8 binary64)) (sqrt.f64 (pow.f64 x #s(literal 13/4 binary64)))) |
(*.f64 #s(literal -1 binary64) (*.f64 x x)) |
(*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 x #s(literal 5/4 binary64)) (pow.f64 x #s(literal 3/4 binary64))) |
(*.f64 (pow.f64 x #s(literal 7/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 x #s(literal 7/4 binary64)) (neg.f64 (pow.f64 x #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 x #s(literal 5/8 binary64)) (sqrt.f64 (pow.f64 x #s(literal 11/4 binary64)))) |
(*.f64 (pow.f64 x #s(literal 1/16 binary64)) (sqrt.f64 (pow.f64 x #s(literal 31/8 binary64)))) |
(*.f64 (pow.f64 x #s(literal 7/8 binary64)) (sqrt.f64 (pow.f64 x #s(literal 9/4 binary64)))) |
(*.f64 (pow.f64 x #s(literal 3/16 binary64)) (sqrt.f64 (pow.f64 x #s(literal 29/8 binary64)))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (sqrt.f64 x)) |
(*.f64 (fabs.f64 (pow.f64 x #s(literal 7/4 binary64))) (pow.f64 x #s(literal 1/4 binary64))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 7/4 binary64))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 7/4 binary64))) (pow.f64 x #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 x #s(literal 13/8 binary64)) (pow.f64 x #s(literal 3/8 binary64))) |
(*.f64 (pow.f64 x #s(literal 15/8 binary64)) (pow.f64 x #s(literal 1/8 binary64))) |
(*.f64 (*.f64 x (-.f64 #s(literal 0 binary64) (sqrt.f64 x))) (sqrt.f64 x)) |
(*.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 7/2 binary64) (log.f64 x))) (pow.f64 x #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 5/2 binary64) (log.f64 x))) (pow.f64 x #s(literal 3/4 binary64))) |
(*.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) (*.f64 #s(literal 3/8 binary64) (log.f64 x))) (sqrt.f64 x)) |
(*.f64 (pow.f64 (E.f64) (*.f64 #s(literal 7/4 binary64) (log.f64 x))) (pow.f64 x #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 9/4 binary64))) (pow.f64 x #s(literal 7/8 binary64))) |
(*.f64 (sqrt.f64 (fabs.f64 (pow.f64 x #s(literal 7/2 binary64)))) (pow.f64 x #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 15/4 binary64))) (pow.f64 x #s(literal 1/8 binary64))) |
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 13/4 binary64))) (pow.f64 x #s(literal 3/8 binary64))) |
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 31/8 binary64))) (pow.f64 x #s(literal 1/16 binary64))) |
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 29/8 binary64))) (pow.f64 x #s(literal 3/16 binary64))) |
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 11/4 binary64))) (pow.f64 x #s(literal 5/8 binary64))) |
| 1× | egg-herbie |
| 38× | *-lowering-*.f32 |
| 38× | *-lowering-*.f64 |
| 38× | accelerator-lowering-fma.f32 |
| 38× | accelerator-lowering-fma.f64 |
| 36× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 148 |
| 1 | 15 | 148 |
| 2 | 32 | 148 |
| 3 | 38 | 148 |
| 4 | 42 | 148 |
| 5 | 54 | 148 |
| 6 | 66 | 148 |
| 7 | 77 | 148 |
| 8 | 97 | 148 |
| 9 | 102 | 148 |
| 0 | 102 | 148 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* -1 (* x (sqrt 2))) |
(* -1 (* x (sqrt 2))) |
(* -1 (* x (sqrt 2))) |
(* -1 (* x (sqrt 2))) |
(* 2 (pow x 2)) |
(* 2 (pow x 2)) |
(* 2 (pow x 2)) |
(* 2 (pow x 2)) |
(* 2 (pow x 2)) |
(* 2 (pow x 2)) |
(* 2 (pow x 2)) |
(* 2 (pow x 2)) |
(* 2 (pow x 2)) |
(* 2 (pow x 2)) |
(* 2 (pow x 2)) |
(* 2 (pow x 2)) |
(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) |
| 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))) |
(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) |
Compiled 3 267 to 749 computations (77.1% saved)
6 alts after pruning (5 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 257 | 5 | 262 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 257 | 6 | 263 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 98.8% | (*.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)) |
| ▶ | 99.4% | (*.f64 (pow.f64 x #s(literal 7/8 binary64)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)))) |
| ▶ | 99.4% | (*.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) |
| ✓ | 53.0% | (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))) |
Compiled 97 to 73 computations (24.7% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (sqrt.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))) |
| ✓ | cost-diff | 0 | (pow.f64 x #s(literal 7/8 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 (pow.f64 x #s(literal 7/8 binary64)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)))) |
| ✓ | cost-diff | 0 | (pow.f64 x #s(literal 3/4 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x #s(literal 4 binary64)) |
| ✓ | cost-diff | 0 | (pow.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 (pow.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3/4 binary64))) |
| ✓ | cost-diff | 0 | (*.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 | (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 | (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 x)) |
| 38× | *-lowering-*.f32 |
| 38× | *-lowering-*.f64 |
| 18× | *-commutative |
| 14× | pow-lowering-pow.f64 |
| 14× | pow-lowering-pow.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 97 |
| 1 | 36 | 97 |
| 2 | 39 | 97 |
| 3 | 41 | 97 |
| 4 | 41 | 97 |
| 0 | 41 | 97 |
| 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 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 |
(* (pow x 7/8) (sqrt (* (pow x 1/4) 2))) |
(pow x 7/8) |
x |
7/8 |
(sqrt (* (pow x 1/4) 2)) |
(* (pow x 1/4) 2) |
(pow x 1/4) |
1/4 |
2 |
| Outputs |
|---|
(* (pow (* 2 x) 1/2) (sqrt x)) |
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 x)) |
(pow (* 2 x) 1/2) |
(pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64)) |
(* 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 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) |
(* (pow x 7/8) (sqrt (* (pow x 1/4) 2))) |
(*.f64 (pow.f64 x #s(literal 7/8 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 1/4 binary64))))) |
(pow x 7/8) |
(pow.f64 x #s(literal 7/8 binary64)) |
x |
7/8 |
#s(literal 7/8 binary64) |
(sqrt (* (pow x 1/4) 2)) |
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 1/4 binary64)))) |
(* (pow x 1/4) 2) |
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 1/4 binary64))) |
(pow x 1/4) |
(pow.f64 x #s(literal 1/4 binary64)) |
1/4 |
#s(literal 1/4 binary64) |
2 |
#s(literal 2 binary64) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (pow.f64 x #s(literal 1/4 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
| ✓ | accuracy | 99.8% | (sqrt.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))) |
| ✓ | accuracy | 99.5% | (*.f64 (pow.f64 x #s(literal 7/8 binary64)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)))) |
| ✓ | accuracy | 100.0% | (pow.f64 x #s(literal 3/4 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 x #s(literal 4 binary64)) |
| ✓ | accuracy | 99.4% | (*.f64 (pow.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3/4 binary64))) |
| ✓ | accuracy | 98.9% | (pow.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) |
| ✓ | accuracy | 100.0% | (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) |
| ✓ | accuracy | 99.7% | (*.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% | (sqrt.f64 #s(literal 2 binary64)) |
| ✓ | accuracy | 99.3% | (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 2 binary64) x) |
| ✓ | accuracy | 100.0% | (sqrt.f64 x) |
| ✓ | accuracy | 99.6% | (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64)) |
| ✓ | accuracy | 99.5% | (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 x)) |
| 229.0ms | 256× | 0 | valid |
Compiled 106 to 27 computations (74.5% saved)
ival-mult: 184.0ms (85.7% of total)ival-pow: 21.0ms (9.8% of total)ival-sqrt: 9.0ms (4.2% of total)exact: 1.0ms (0.5% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* (pow (* 2 x) 1/2) (sqrt x))> |
#<alt (pow (* 2 x) 1/2)> |
#<alt (* 2 x)> |
#<alt (sqrt x)> |
#<alt (* (sqrt 2) x)> |
#<alt (sqrt 2)> |
#<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)> |
#<alt (* (pow x 7/8) (sqrt (* (pow x 1/4) 2)))> |
#<alt (pow x 7/8)> |
#<alt (sqrt (* (pow x 1/4) 2))> |
#<alt (* (pow x 1/4) 2)> |
#<alt (pow x 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 (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* 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))))))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* x (sqrt 2))> |
#<alt (* -1 (* (pow -1 1/4) (* x (sqrt 2))))> |
#<alt (* -1 (* (pow -1 1/4) (* x (sqrt 2))))> |
#<alt (* -1 (* (pow -1 1/4) (* x (sqrt 2))))> |
#<alt (* -1 (* (pow -1 1/4) (* x (sqrt 2))))> |
#<alt (pow (* 1 (pow x 7)) 1/8)> |
#<alt (pow (* 1 (pow x 7)) 1/8)> |
#<alt (pow (* 1 (pow x 7)) 1/8)> |
#<alt (pow (* 1 (pow x 7)) 1/8)> |
#<alt (pow (* 1 (pow x 7)) 1/8)> |
#<alt (pow (* 1 (pow x 7)) 1/8)> |
#<alt (pow (* 1 (pow x 7)) 1/8)> |
#<alt (pow (* 1 (pow x 7)) 1/8)> |
#<alt (exp (* 1/8 (+ (log -1) (* -7 (log (/ -1 x))))))> |
#<alt (exp (* 1/8 (+ (log -1) (* -7 (log (/ -1 x))))))> |
#<alt (exp (* 1/8 (+ (log -1) (* -7 (log (/ -1 x))))))> |
#<alt (exp (* 1/8 (+ (log -1) (* -7 (log (/ -1 x))))))> |
#<alt (* (pow (* 1 x) 1/8) (sqrt 2))> |
#<alt (* (pow (* 1 x) 1/8) (sqrt 2))> |
#<alt (* (pow (* 1 x) 1/8) (sqrt 2))> |
#<alt (* (pow (* 1 x) 1/8) (sqrt 2))> |
#<alt (* (pow (* 1 x) 1/8) (sqrt 2))> |
#<alt (* (pow (* 1 x) 1/8) (sqrt 2))> |
#<alt (* (pow (* 1 x) 1/8) (sqrt 2))> |
#<alt (* (pow (* 1 x) 1/8) (sqrt 2))> |
#<alt (* (exp (* 1/8 (+ (log -1) (* -1 (log (/ -1 x)))))) (sqrt 2))> |
#<alt (* (exp (* 1/8 (+ (log -1) (* -1 (log (/ -1 x)))))) (sqrt 2))> |
#<alt (* (exp (* 1/8 (+ (log -1) (* -1 (log (/ -1 x)))))) (sqrt 2))> |
#<alt (* (exp (* 1/8 (+ (log -1) (* -1 (log (/ -1 x)))))) (sqrt 2))> |
#<alt (* 2 (pow (* 1 x) 1/4))> |
#<alt (* 2 (pow (* 1 x) 1/4))> |
#<alt (* 2 (pow (* 1 x) 1/4))> |
#<alt (* 2 (pow (* 1 x) 1/4))> |
#<alt (* 2 (pow (* 1 x) 1/4))> |
#<alt (* 2 (pow (* 1 x) 1/4))> |
#<alt (* 2 (pow (* 1 x) 1/4))> |
#<alt (* 2 (pow (* 1 x) 1/4))> |
#<alt (* 2 (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))))> |
#<alt (* 2 (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))))> |
#<alt (* 2 (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))))> |
#<alt (* 2 (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))))> |
#<alt (pow (* 1 x) 1/4)> |
#<alt (pow (* 1 x) 1/4)> |
#<alt (pow (* 1 x) 1/4)> |
#<alt (pow (* 1 x) 1/4)> |
#<alt (pow (* 1 x) 1/4)> |
#<alt (pow (* 1 x) 1/4)> |
#<alt (pow (* 1 x) 1/4)> |
#<alt (pow (* 1 x) 1/4)> |
#<alt (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x))))))> |
#<alt (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x))))))> |
#<alt (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x))))))> |
#<alt (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x))))))> |
48 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 43.0ms | x | @ | 0 | (* x (pow 2 1/4)) |
| 31.0ms | x | @ | -inf | (pow (* x 4) 1/4) |
| 27.0ms | x | @ | 0 | (sqrt (* (pow x 1/4) 2)) |
| 22.0ms | x | @ | 0 | (* (pow x 7/8) (sqrt (* (pow x 1/4) 2))) |
| 22.0ms | x | @ | 0 | (* (pow (* x 4) 1/4) (pow x 3/4)) |
| 1× | batch-egg-rewrite |
| 4 592× | *-lowering-*.f32 |
| 4 592× | *-lowering-*.f64 |
| 4 022× | accelerator-lowering-fma.f32 |
| 4 022× | accelerator-lowering-fma.f64 |
| 2 378× | pow-lowering-pow.f64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 82 |
| 1 | 80 | 77 |
| 2 | 241 | 67 |
| 3 | 1037 | 66 |
| 4 | 4177 | 66 |
| 0 | 8070 | 66 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (pow (* 2 x) 1/2) (sqrt x)) |
(pow (* 2 x) 1/2) |
(* 2 x) |
(sqrt x) |
(* (sqrt 2) x) |
(sqrt 2) |
(* (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) |
(* (pow x 7/8) (sqrt (* (pow x 1/4) 2))) |
(pow x 7/8) |
(sqrt (* (pow x 1/4) 2)) |
(* (pow x 1/4) 2) |
(pow x 1/4) |
| 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 7/8 binary64) (log.f64 x)) (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 1/4 binary64))))))) |
(exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 7/16 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 1/4 binary64))) #s(literal 1/4 binary64)))) #s(literal 2 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 4 binary64) (*.f64 x x)) (*.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))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))) #s(literal 1/4 binary64)) #s(literal 2 binary64))) |
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))) |
(sqrt.f64 (exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))))) |
(pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (log.f64 (*.f64 x (*.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 2 binary64) (log.f64 x)))) |
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (log.f64 (*.f64 x (*.f64 x #s(literal 4 binary64)))) (*.f64 (log.f64 x) #s(literal 2 binary64)))) |
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) (log.f64 (*.f64 x (*.f64 x #s(literal 4 binary64)))))) |
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 x (*.f64 x #s(literal 4 binary64)))))) |
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))) |
(pow.f64 (*.f64 (pow.f64 x #s(literal 3/16 binary64)) (pow.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 1/16 binary64))) #s(literal 4 binary64)) |
(pow.f64 (*.f64 (pow.f64 x #s(literal 7/16 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 1/4 binary64))) #s(literal 1/4 binary64))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1/8 binary64)) #s(literal 4 binary64)) |
(pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/4 binary64)) |
(pow.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 4 binary64) (*.f64 x x))) #s(literal 1/4 binary64)) |
(pow.f64 (*.f64 (pow.f64 x #s(literal 1/8 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/8 binary64))) #s(literal 4 binary64)) |
(pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (*.f64 x x)) #s(literal 1/4 binary64)) |
(pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) (*.f64 #s(literal 2 binary64) (*.f64 x x))) #s(literal 1/4 binary64)) |
(pow.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 4 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 1/8 binary64))) #s(literal 4 binary64)) |
(pow.f64 (exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 (pow.f64 x #s(literal 1/16 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 7/16 binary64)))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (pow.f64 x #s(literal 7/32 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 1/4 binary64))) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 7/32 binary64)))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/8 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 x x)) #s(literal 1/8 binary64))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 1/4 binary64))) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 7/32 binary64))) (pow.f64 x #s(literal 7/32 binary64))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 7/16 binary64))) (pow.f64 x #s(literal 1/16 binary64))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 x x)) #s(literal 1/8 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/8 binary64))) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 (*.f64 x #s(literal 4 binary64)))) #s(literal 3 binary64)) (*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 27/64 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 (*.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 3/4 binary64) (log.f64 x)) (+.f64 (*.f64 #s(literal 3/4 binary64) (log.f64 x)) (*.f64 #s(literal -1/4 binary64) (log.f64 (*.f64 x #s(literal 4 binary64))))))))) |
(pow.f64 (exp.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 (*.f64 x #s(literal 4 binary64)))) #s(literal 3 binary64)) (*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 27/64 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 9/16 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 (*.f64 x #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 (*.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal -3/4 binary64) (log.f64 x))))))) |
(pow.f64 (exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))) (+.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 (*.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal -3/4 binary64) (log.f64 x))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 (*.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal -3/4 binary64) (log.f64 x))))) |
(pow.f64 (exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))) (+.f64 (*.f64 #s(literal 3/4 binary64) (log.f64 x)) (*.f64 #s(literal -1/4 binary64) (log.f64 (*.f64 x #s(literal 4 binary64))))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 3/4 binary64) (log.f64 x)) (*.f64 #s(literal -1/4 binary64) (log.f64 (*.f64 x #s(literal 4 binary64))))))) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 #s(literal 2 binary64) x))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 7/8 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 #s(literal 2 binary64) x) (*.f64 x 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 7/8 binary64)) (pow.f64 (*.f64 #s(literal 16 binary64) x) #s(literal 1/8 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 3/4 binary64)))) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 (*.f64 x (*.f64 #s(literal 4 binary64) (*.f64 x x))) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(literal 16 binary64) x) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 7/8 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 7/8 binary64)))) |
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 (*.f64 #s(literal 16 binary64) x) #s(literal 1/8 binary64)))) |
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (*.f64 (pow.f64 x #s(literal 1/8 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 3/4 binary64))))) |
(*.f64 (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 (*.f64 x #s(literal 4 binary64)) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 7/8 binary64)))) |
(*.f64 (pow.f64 x #s(literal 7/16 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 9/16 binary64)))) |
(*.f64 (pow.f64 x #s(literal 3/8 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 5/8 binary64)))) |
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 x x)) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 x #s(literal 3/16 binary64)) (*.f64 (pow.f64 x #s(literal 3/16 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 5/8 binary64))))) |
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 1/4 binary64))) #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 7/8 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 1/4 binary64))) #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 x #s(literal 7/32 binary64)) (*.f64 (pow.f64 x #s(literal 7/32 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 9/16 binary64))))) |
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/16 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/16 binary64)) (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 3/8 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)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 7/8 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 #s(literal 2 binary64) x) (*.f64 x x)) #s(literal 1/4 binary64)))) |
(*.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 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 5/8 binary64))) (pow.f64 x #s(literal 3/8 binary64))) |
(*.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 7/8 binary64))) (pow.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 1/8 binary64))) |
(*.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 1/8 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 3/8 binary64))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 9/16 binary64))) (pow.f64 x #s(literal 7/16 binary64))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 7/8 binary64))) (pow.f64 x #s(literal 1/8 binary64))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 x #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) 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 x #s(literal 1/16 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 7/8 binary64))) (pow.f64 x #s(literal 1/16 binary64)))) |
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(*.f64 (pow.f64 (pow.f64 x #s(literal 1/8 binary64)) #s(literal 7/8 binary64)) (pow.f64 (pow.f64 x #s(literal 7/8 binary64)) #s(literal 7/8 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 7/16 binary64)) #s(literal 7/8 binary64)) (pow.f64 (pow.f64 x #s(literal 9/16 binary64)) #s(literal 7/8 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/8 binary64)) #s(literal 7/8 binary64)) (pow.f64 (pow.f64 x #s(literal 5/8 binary64)) #s(literal 7/8 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 15/16 binary64)) #s(literal 7/8 binary64)) (pow.f64 (pow.f64 x #s(literal 1/16 binary64)) #s(literal 7/8 binary64))) |
(*.f64 (exp.f64 (*.f64 #s(literal 7/8 binary64) (/.f64 (log.f64 x) #s(literal 2 binary64)))) (exp.f64 (*.f64 #s(literal 7/8 binary64) (/.f64 (log.f64 x) #s(literal 2 binary64))))) |
(*.f64 (pow.f64 (exp.f64 #s(literal 7/8 binary64)) (*.f64 #s(literal 1/4 binary64) (log.f64 x))) (pow.f64 (exp.f64 #s(literal 7/8 binary64)) (*.f64 #s(literal 3/4 binary64) (log.f64 x)))) |
(*.f64 (pow.f64 (exp.f64 #s(literal 7/8 binary64)) (*.f64 #s(literal 3/4 binary64) (log.f64 x))) (pow.f64 (exp.f64 #s(literal 7/8 binary64)) (*.f64 #s(literal 1/4 binary64) (log.f64 x)))) |
(*.f64 (pow.f64 (exp.f64 #s(literal 7/8 binary64)) (*.f64 #s(literal 7/8 binary64) (log.f64 x))) (pow.f64 (exp.f64 #s(literal 7/8 binary64)) (*.f64 (log.f64 x) #s(literal 1/8 binary64)))) |
(*.f64 (pow.f64 (exp.f64 #s(literal 7/8 binary64)) (*.f64 (log.f64 x) #s(literal 1/8 binary64))) (pow.f64 (exp.f64 #s(literal 7/8 binary64)) (*.f64 #s(literal 7/8 binary64) (log.f64 x)))) |
(*.f64 (pow.f64 (exp.f64 #s(literal 7/8 binary64)) (*.f64 (log.f64 x) #s(literal 3/8 binary64))) (pow.f64 (exp.f64 #s(literal 7/8 binary64)) (*.f64 #s(literal 5/8 binary64) (log.f64 x)))) |
(*.f64 (pow.f64 (exp.f64 #s(literal 7/8 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 x))) (pow.f64 (exp.f64 #s(literal 7/8 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 x)))) |
(*.f64 (pow.f64 (exp.f64 #s(literal 7/8 binary64)) (*.f64 (log.f64 x) #s(literal 7/16 binary64))) (pow.f64 (exp.f64 #s(literal 7/8 binary64)) (*.f64 #s(literal 9/16 binary64) (log.f64 x)))) |
(*.f64 (pow.f64 (exp.f64 #s(literal 7/8 binary64)) (*.f64 #s(literal 15/16 binary64) (log.f64 x))) (pow.f64 (exp.f64 #s(literal 7/8 binary64)) (*.f64 (log.f64 x) #s(literal 1/16 binary64)))) |
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 1/4 binary64)))))) |
(exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 1/4 binary64))))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 x) #s(literal 4 binary64))) #s(literal 1/4 binary64))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 1/2 binary64))) (log.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 1/4 binary64)))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 4 binary64) (*.f64 x #s(literal 4 binary64)))) #s(literal 1/8 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 16 binary64) x)) #s(literal 1/8 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (pow.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 1/16 binary64)))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal 16 binary64))) #s(literal 1/8 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 1/16 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)))) #s(literal 2 binary64))) |
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 1/4 binary64)))) |
(pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 1/4 binary64))) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 1/4 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (sqrt.f64 x) #s(literal 4 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (log.f64 (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) |
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 x)))) |
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (log.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (log.f64 x)))) |
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (log.f64 #s(literal 4 binary64)) (/.f64 (log.f64 x) #s(literal 2 binary64)))) |
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (log.f64 x) #s(literal 2 binary64)))) |
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (log.f64 #s(literal 2 binary64))) (/.f64 (log.f64 x) #s(literal 2 binary64)))) |
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (/.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 #s(literal 4 binary64)))) |
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 x)) (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (/.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 x)) (*.f64 #s(literal 2 binary64) (log.f64 #s(literal 2 binary64))))) |
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (/.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 #s(literal 2 binary64))))) |
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 1/4 binary64))))) |
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 1/4 binary64))) #s(literal 1/8 binary64)) #s(literal 4 binary64)) |
(pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 x #s(literal 4 binary64))) #s(literal 1/8 binary64)) |
(pow.f64 (*.f64 #s(literal 16 binary64) x) #s(literal 1/8 binary64)) |
(pow.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (pow.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 1/16 binary64))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x #s(literal 16 binary64)) #s(literal 1/8 binary64)) |
(pow.f64 (*.f64 (pow.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 1/16 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 (log.f64 (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) #s(literal 1/4 binary64)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 1/8 binary64))) |
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 1/8 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (pow.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 1/8 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 1/4 binary64))) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 1/4 binary64))) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/16 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 1/8 binary64))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 1/8 binary64))) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/16 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/32 binary64)) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 1/8 binary64))) (pow.f64 x #s(literal 1/16 binary64))))) |
(*.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (pow.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 1/16 binary64))) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (pow.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 1/16 binary64)))) |
(*.f64 (*.f64 (pow.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 1/16 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))) (*.f64 (pow.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 1/16 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)))) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 1/8 binary64))) (pow.f64 x #s(literal 1/16 binary64)))) (pow.f64 x #s(literal 1/32 binary64))) |
(*.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 (log.f64 x) #s(literal 1/8 binary64))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 1/8 binary64)))))) |
(*.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 (log.f64 x) #s(literal 1/16 binary64))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 1/8 binary64))) (pow.f64 x #s(literal 1/16 binary64)))))) |
(*.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 1/8 binary64))))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 (log.f64 x) #s(literal 1/8 binary64)))) |
(*.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 1/8 binary64))) (pow.f64 x #s(literal 1/16 binary64))))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 (log.f64 x) #s(literal 1/16 binary64)))) |
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 1/4 binary64))))) |
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 1/8 binary64)))) |
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 1/8 binary64)))))) |
(*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 1/8 binary64))) (pow.f64 x #s(literal 1/8 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/16 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 1/8 binary64))) (pow.f64 x #s(literal 1/16 binary64)))) |
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 1/8 binary64))) (pow.f64 x #s(literal 1/16 binary64))) (pow.f64 x #s(literal 1/16 binary64))) |
(*.f64 (exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 1/8 binary64))))) (pow.f64 x #s(literal 1/8 binary64))) |
(exp.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 x))) |
(exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 x)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 1/4 binary64))) (log.f64 x))) |
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 x)) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1/16 binary64)) #s(literal 4 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 4 binary64) (log.f64 x)) #s(literal 1/16 binary64))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))) #s(literal 1/8 binary64))) |
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) |
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 x)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) |
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1/8 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) (log.f64 x)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (exp.f64 #s(literal 1/4 binary64))) (log.f64 x)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 x)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1/8 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1/16 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1/16 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/8 binary64))) |
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 x)) #s(literal 1/4 binary64)) #s(literal 4 binary64))) |
(exp.f64 (*.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 4 binary64))) |
(fabs.f64 (pow.f64 x #s(literal 1/4 binary64))) |
(fabs.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64)))) |
(fabs.f64 (*.f64 (pow.f64 x #s(literal 1/8 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 1/8 binary64))))) |
(fabs.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 1/8 binary64))) (pow.f64 x #s(literal 1/8 binary64)))) |
(sqrt.f64 (sqrt.f64 x)) |
(pow.f64 x #s(literal 1/4 binary64)) |
(pow.f64 x (log.f64 (exp.f64 #s(literal 1/4 binary64)))) |
(pow.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1/8 binary64)) |
(pow.f64 (pow.f64 x #s(literal 1/16 binary64)) #s(literal 4 binary64)) |
(pow.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/16 binary64)) |
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (log.f64 x)) |
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (/.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 x)))) |
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 x)) (/.f64 (log.f64 x) #s(literal 2 binary64)))) |
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (/.f64 (log.f64 x) #s(literal 2 binary64)) (/.f64 (log.f64 x) #s(literal 2 binary64)))) |
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 x))) |
(pow.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 1/8 binary64))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 x))) |
(pow.f64 (exp.f64 #s(literal 1/8 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 x))) |
(pow.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x))) #s(literal 1/8 binary64)) |
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 x))) |
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) #s(literal 1 binary64)) (log.f64 x)) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal 1/8 binary64))) |
(pow.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 #s(literal 1/4 binary64) (log.f64 x))) |
(pow.f64 (exp.f64 (log.f64 (exp.f64 #s(literal 1/4 binary64)))) (log.f64 x)) |
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (pow.f64 x #s(literal 1/8 binary64))) |
(*.f64 (pow.f64 x #s(literal 3/16 binary64)) (pow.f64 x #s(literal 1/16 binary64))) |
(*.f64 (pow.f64 x #s(literal 7/32 binary64)) (pow.f64 x #s(literal 1/32 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/16 binary64)) (pow.f64 x #s(literal 3/16 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/16 binary64)) (pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/32 binary64)) (pow.f64 (pow.f64 x #s(literal 7/8 binary64)) #s(literal 1/4 binary64))) |
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 1/8 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 1/8 binary64)))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/16 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 7/8 binary64)) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/32 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 7/16 binary64)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 x #s(literal 9/16 binary64)) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/8 binary64)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 x #s(literal 5/8 binary64)) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 15/16 binary64)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 x #s(literal 1/16 binary64)) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (*.f64 (log.f64 x) #s(literal 1/8 binary64))) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (*.f64 #s(literal 7/8 binary64) (log.f64 x)))) |
(*.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (*.f64 #s(literal 7/8 binary64) (log.f64 x))) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (*.f64 (log.f64 x) #s(literal 1/8 binary64)))) |
(*.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (*.f64 (log.f64 x) #s(literal 3/8 binary64))) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (*.f64 #s(literal 5/8 binary64) (log.f64 x)))) |
(*.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (*.f64 (log.f64 x) #s(literal 7/16 binary64))) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (*.f64 #s(literal 9/16 binary64) (log.f64 x)))) |
(*.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (*.f64 #s(literal 15/16 binary64) (log.f64 x))) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (*.f64 (log.f64 x) #s(literal 1/16 binary64)))) |
| 1× | egg-herbie |
| 4 632× | accelerator-lowering-fma.f32 |
| 4 632× | accelerator-lowering-fma.f64 |
| 2 264× | *-lowering-*.f32 |
| 2 264× | *-lowering-*.f64 |
| 1 276× | --lowering--.f32 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 82 | 964 |
| 1 | 198 | 964 |
| 2 | 489 | 924 |
| 3 | 886 | 900 |
| 4 | 1327 | 892 |
| 5 | 1912 | 892 |
| 6 | 3075 | 892 |
| 7 | 4667 | 892 |
| 8 | 6905 | 892 |
| 0 | 8112 | 892 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* -1 (* x (* (sqrt -2) (sqrt -1)))) |
(* -1 (* x (* (sqrt -2) (sqrt -1)))) |
(* -1 (* x (* (sqrt -2) (sqrt -1)))) |
(* -1 (* x (* (sqrt -2) (sqrt -1)))) |
(* (sqrt x) (sqrt 2)) |
(* (sqrt x) (sqrt 2)) |
(* (sqrt x) (sqrt 2)) |
(* (sqrt x) (sqrt 2)) |
(* (sqrt x) (sqrt 2)) |
(* (sqrt x) (sqrt 2)) |
(* (sqrt x) (sqrt 2)) |
(* (sqrt x) (sqrt 2)) |
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1)))) |
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1)))) |
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1)))) |
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1)))) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* 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)))))) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* -1 (* (pow -1 1/4) (* x (sqrt 2)))) |
(* -1 (* (pow -1 1/4) (* x (sqrt 2)))) |
(* -1 (* (pow -1 1/4) (* x (sqrt 2)))) |
(* -1 (* (pow -1 1/4) (* x (sqrt 2)))) |
(pow (* 1 (pow x 7)) 1/8) |
(pow (* 1 (pow x 7)) 1/8) |
(pow (* 1 (pow x 7)) 1/8) |
(pow (* 1 (pow x 7)) 1/8) |
(pow (* 1 (pow x 7)) 1/8) |
(pow (* 1 (pow x 7)) 1/8) |
(pow (* 1 (pow x 7)) 1/8) |
(pow (* 1 (pow x 7)) 1/8) |
(exp (* 1/8 (+ (log -1) (* -7 (log (/ -1 x)))))) |
(exp (* 1/8 (+ (log -1) (* -7 (log (/ -1 x)))))) |
(exp (* 1/8 (+ (log -1) (* -7 (log (/ -1 x)))))) |
(exp (* 1/8 (+ (log -1) (* -7 (log (/ -1 x)))))) |
(* (pow (* 1 x) 1/8) (sqrt 2)) |
(* (pow (* 1 x) 1/8) (sqrt 2)) |
(* (pow (* 1 x) 1/8) (sqrt 2)) |
(* (pow (* 1 x) 1/8) (sqrt 2)) |
(* (pow (* 1 x) 1/8) (sqrt 2)) |
(* (pow (* 1 x) 1/8) (sqrt 2)) |
(* (pow (* 1 x) 1/8) (sqrt 2)) |
(* (pow (* 1 x) 1/8) (sqrt 2)) |
(* (exp (* 1/8 (+ (log -1) (* -1 (log (/ -1 x)))))) (sqrt 2)) |
(* (exp (* 1/8 (+ (log -1) (* -1 (log (/ -1 x)))))) (sqrt 2)) |
(* (exp (* 1/8 (+ (log -1) (* -1 (log (/ -1 x)))))) (sqrt 2)) |
(* (exp (* 1/8 (+ (log -1) (* -1 (log (/ -1 x)))))) (sqrt 2)) |
(* 2 (pow (* 1 x) 1/4)) |
(* 2 (pow (* 1 x) 1/4)) |
(* 2 (pow (* 1 x) 1/4)) |
(* 2 (pow (* 1 x) 1/4)) |
(* 2 (pow (* 1 x) 1/4)) |
(* 2 (pow (* 1 x) 1/4)) |
(* 2 (pow (* 1 x) 1/4)) |
(* 2 (pow (* 1 x) 1/4)) |
(* 2 (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x))))))) |
(* 2 (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x))))))) |
(* 2 (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x))))))) |
(* 2 (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x))))))) |
(pow (* 1 x) 1/4) |
(pow (* 1 x) 1/4) |
(pow (* 1 x) 1/4) |
(pow (* 1 x) 1/4) |
(pow (* 1 x) 1/4) |
(pow (* 1 x) 1/4) |
(pow (* 1 x) 1/4) |
(pow (* 1 x) 1/4) |
(exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))) |
(exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))) |
(exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))) |
(exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 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 (*.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)) |
(* (sqrt x) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)) |
(* (sqrt x) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)) |
(* (sqrt x) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)) |
(* (sqrt x) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)) |
(* (sqrt x) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)) |
(* (sqrt x) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)) |
(* (sqrt x) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)) |
(* (sqrt x) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)) |
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1)))) |
(*.f64 (sqrt.f64 x) (-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) |
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1)))) |
(*.f64 (sqrt.f64 x) (-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) |
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1)))) |
(*.f64 (sqrt.f64 x) (-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) |
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1)))) |
(*.f64 (sqrt.f64 x) (-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* 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 1/4 binary64) #s(literal 1/4 binary64))) |
(* (pow 4 1/4) x) |
(/.f64 x (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64))) |
(* (pow 4 1/4) x) |
(/.f64 x (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64))) |
(* (pow 4 1/4) x) |
(/.f64 x (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64))) |
(* (pow 4 1/4) x) |
(/.f64 x (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64))) |
(* (pow 4 1/4) x) |
(/.f64 x (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64))) |
(* (pow 4 1/4) x) |
(/.f64 x (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64))) |
(* (pow 4 1/4) x) |
(/.f64 x (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64))) |
(* -1 (* (pow 4 1/4) x)) |
(/.f64 x (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)))) |
(* -1 (* (pow 4 1/4) x)) |
(/.f64 x (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)))) |
(* -1 (* (pow 4 1/4) x)) |
(/.f64 x (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)))) |
(* -1 (* (pow 4 1/4) x)) |
(/.f64 x (-.f64 #s(literal 0 binary64) (pow.f64 #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) (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)))))) |
(pow.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -3 binary64))) #s(literal 1/4 binary64)) |
(exp (* 1/4 (+ (log -1) (* -3 (log (/ -1 x)))))) |
(pow.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -3 binary64))) #s(literal 1/4 binary64)) |
(exp (* 1/4 (+ (log -1) (* -3 (log (/ -1 x)))))) |
(pow.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -3 binary64))) #s(literal 1/4 binary64)) |
(exp (* 1/4 (+ (log -1) (* -3 (log (/ -1 x)))))) |
(pow.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -3 binary64))) #s(literal 1/4 binary64)) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(* -1 (* (pow -1 1/4) (* x (sqrt 2)))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 x (pow.f64 #s(literal -1 binary64) #s(literal 5/4 binary64)))) |
(* -1 (* (pow -1 1/4) (* x (sqrt 2)))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 x (pow.f64 #s(literal -1 binary64) #s(literal 5/4 binary64)))) |
(* -1 (* (pow -1 1/4) (* x (sqrt 2)))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 x (pow.f64 #s(literal -1 binary64) #s(literal 5/4 binary64)))) |
(* -1 (* (pow -1 1/4) (* x (sqrt 2)))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 x (pow.f64 #s(literal -1 binary64) #s(literal 5/4 binary64)))) |
(pow (* 1 (pow x 7)) 1/8) |
(pow.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/8 binary64)) |
(pow (* 1 (pow x 7)) 1/8) |
(pow.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/8 binary64)) |
(pow (* 1 (pow x 7)) 1/8) |
(pow.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/8 binary64)) |
(pow (* 1 (pow x 7)) 1/8) |
(pow.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/8 binary64)) |
(pow (* 1 (pow x 7)) 1/8) |
(pow.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/8 binary64)) |
(pow (* 1 (pow x 7)) 1/8) |
(pow.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/8 binary64)) |
(pow (* 1 (pow x 7)) 1/8) |
(pow.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/8 binary64)) |
(pow (* 1 (pow x 7)) 1/8) |
(pow.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/8 binary64)) |
(exp (* 1/8 (+ (log -1) (* -7 (log (/ -1 x)))))) |
(/.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -7/8 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 1/8 binary64))) |
(exp (* 1/8 (+ (log -1) (* -7 (log (/ -1 x)))))) |
(/.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -7/8 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 1/8 binary64))) |
(exp (* 1/8 (+ (log -1) (* -7 (log (/ -1 x)))))) |
(/.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -7/8 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 1/8 binary64))) |
(exp (* 1/8 (+ (log -1) (* -7 (log (/ -1 x)))))) |
(/.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -7/8 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 1/8 binary64))) |
(* (pow (* 1 x) 1/8) (sqrt 2)) |
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal -1/8 binary64))) |
(* (pow (* 1 x) 1/8) (sqrt 2)) |
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal -1/8 binary64))) |
(* (pow (* 1 x) 1/8) (sqrt 2)) |
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal -1/8 binary64))) |
(* (pow (* 1 x) 1/8) (sqrt 2)) |
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal -1/8 binary64))) |
(* (pow (* 1 x) 1/8) (sqrt 2)) |
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal -1/8 binary64))) |
(* (pow (* 1 x) 1/8) (sqrt 2)) |
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal -1/8 binary64))) |
(* (pow (* 1 x) 1/8) (sqrt 2)) |
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal -1/8 binary64))) |
(* (pow (* 1 x) 1/8) (sqrt 2)) |
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal -1/8 binary64))) |
(* (exp (* 1/8 (+ (log -1) (* -1 (log (/ -1 x)))))) (sqrt 2)) |
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal -1/8 binary64))) |
(* (exp (* 1/8 (+ (log -1) (* -1 (log (/ -1 x)))))) (sqrt 2)) |
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal -1/8 binary64))) |
(* (exp (* 1/8 (+ (log -1) (* -1 (log (/ -1 x)))))) (sqrt 2)) |
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal -1/8 binary64))) |
(* (exp (* 1/8 (+ (log -1) (* -1 (log (/ -1 x)))))) (sqrt 2)) |
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal -1/8 binary64))) |
(* 2 (pow (* 1 x) 1/4)) |
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal -1/4 binary64))) |
(* 2 (pow (* 1 x) 1/4)) |
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal -1/4 binary64))) |
(* 2 (pow (* 1 x) 1/4)) |
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal -1/4 binary64))) |
(* 2 (pow (* 1 x) 1/4)) |
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal -1/4 binary64))) |
(* 2 (pow (* 1 x) 1/4)) |
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal -1/4 binary64))) |
(* 2 (pow (* 1 x) 1/4)) |
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal -1/4 binary64))) |
(* 2 (pow (* 1 x) 1/4)) |
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal -1/4 binary64))) |
(* 2 (pow (* 1 x) 1/4)) |
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal -1/4 binary64))) |
(* 2 (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x))))))) |
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal -1/4 binary64))) |
(* 2 (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x))))))) |
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal -1/4 binary64))) |
(* 2 (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x))))))) |
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal -1/4 binary64))) |
(* 2 (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x))))))) |
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal -1/4 binary64))) |
(pow (* 1 x) 1/4) |
(pow.f64 x #s(literal 1/4 binary64)) |
(pow (* 1 x) 1/4) |
(pow.f64 x #s(literal 1/4 binary64)) |
(pow (* 1 x) 1/4) |
(pow.f64 x #s(literal 1/4 binary64)) |
(pow (* 1 x) 1/4) |
(pow.f64 x #s(literal 1/4 binary64)) |
(pow (* 1 x) 1/4) |
(pow.f64 x #s(literal 1/4 binary64)) |
(pow (* 1 x) 1/4) |
(pow.f64 x #s(literal 1/4 binary64)) |
(pow (* 1 x) 1/4) |
(pow.f64 x #s(literal 1/4 binary64)) |
(pow (* 1 x) 1/4) |
(pow.f64 x #s(literal 1/4 binary64)) |
(exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))) |
(pow.f64 x #s(literal 1/4 binary64)) |
(exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))) |
(pow.f64 x #s(literal 1/4 binary64)) |
(exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))) |
(pow.f64 x #s(literal 1/4 binary64)) |
(exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))) |
(pow.f64 x #s(literal 1/4 binary64)) |
Compiled 17 166 to 2 127 computations (87.6% saved)
5 alts after pruning (2 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 260 | 2 | 1 262 |
| Fresh | 0 | 0 | 0 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 263 | 5 | 1 268 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.4% | (/.f64 x (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64))) |
| ✓ | 98.8% | (*.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) |
| ✓ | 53.0% | (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))) |
Compiled 36 to 27 computations (25% saved)
| 1× | egg-herbie |
Found 6 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 x (pow.f64 #s(literal 1/4 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 | 9 | 28 |
| 1 | 11 | 28 |
| 0 | 11 | 28 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(* (sqrt (* 2 x)) (sqrt x)) |
(sqrt (* 2 x)) |
(* 2 x) |
2 |
x |
(sqrt x) |
(/ x (pow 1/4 1/4)) |
x |
(pow 1/4 1/4) |
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 1/4 1/4)) |
(/.f64 x (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64))) |
x |
(pow 1/4 1/4) |
(pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) |
1/4 |
#s(literal 1/4 binary64) |
Found 6 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) |
| ✓ | accuracy | 99.4% | (/.f64 x (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64))) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 2 binary64) x) |
| ✓ | accuracy | 100.0% | (sqrt.f64 x) |
| ✓ | accuracy | 99.6% | (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) |
| ✓ | accuracy | 99.5% | (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 x)) |
| 20.0ms | 256× | 0 | valid |
Compiled 30 to 11 computations (63.3% saved)
ival-sqrt: 4.0ms (31.1% of total)ival-mult: 3.0ms (23.3% of total)ival-pow: 3.0ms (23.3% of total)ival-div: 2.0ms (15.6% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* (sqrt (* 2 x)) (sqrt x))> |
#<alt (sqrt (* 2 x))> |
#<alt (* 2 x)> |
#<alt (sqrt x)> |
#<alt (/ x (pow 1/4 1/4))> |
#<alt (pow 1/4 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 1/4 1/4)) |
| 0.0ms | x | @ | -inf | (/ x (pow 1/4 1/4)) |
| 0.0ms | x | @ | -inf | (sqrt (* 2 x)) |
| 0.0ms | x | @ | inf | (/ x (pow 1/4 1/4)) |
| 0.0ms | x | @ | 0 | (sqrt (* 2 x)) |
| 1× | batch-egg-rewrite |
| 2 412× | *-lowering-*.f32 |
| 2 412× | *-lowering-*.f64 |
| 1 224× | /-lowering-/.f32 |
| 1 224× | /-lowering-/.f64 |
| 626× | accelerator-lowering-fma.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 23 |
| 1 | 33 | 23 |
| 2 | 118 | 21 |
| 3 | 501 | 21 |
| 0 | 3794 | 21 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (sqrt (* 2 x)) (sqrt x)) |
(sqrt (* 2 x)) |
(* 2 x) |
(sqrt x) |
(/ x (pow 1/4 1/4)) |
(pow 1/4 1/4) |
| Outputs |
|---|
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))))) |
(exp.f64 (+.f64 (log.f64 x) (*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))))) |
(exp.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) (log.f64 x))) |
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))) |
(neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (sqrt.f64 #s(literal 2 binary64)))) |
(neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) x))) |
(pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (*.f64 x x)) #s(literal 1/4 binary64)) |
(pow.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4 binary64))) #s(literal 1/4 binary64)) |
(pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) (*.f64 #s(literal 2 binary64) (*.f64 x x))) #s(literal 1/4 binary64)) |
(pow.f64 (exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))) #s(literal 1/2 binary64)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 x (*.f64 #s(literal 1 binary64) (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 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) x) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) x) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #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 #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 #s(literal 2 binary64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) x)) |
(*.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 (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)))) |
(*.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 x #s(literal 1/8 binary64)) (*.f64 (pow.f64 x #s(literal 1/8 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) x) #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 2 binary64) x)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64))) |
(*.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #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 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) x) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x)) |
(*.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/8 binary64))) (pow.f64 x #s(literal 1/8 binary64))) |
(*.f64 (*.f64 (pow.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 2 binary64) x)) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) |
(*.f64 (*.f64 (pow.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 2 binary64) x)) #s(literal 1/4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64))) |
(*.f64 (*.f64 (pow.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 2 binary64) x)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/8 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/8 binary64))) |
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(fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64))) #s(literal -1 binary64) #s(literal 0 binary64)) |
(fma.f64 #s(literal 1 binary64) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/8 binary64)) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/8 binary64)) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64))) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/16 binary64)) (pow.f64 #s(literal 1/4 binary64) #s(literal 3/16 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/16 binary64)) (/.f64 (neg.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 3/16 binary64))) #s(literal -1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/16 binary64)) (/.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/16 binary64)) (pow.f64 #s(literal 1/4 binary64) #s(literal -1/8 binary64))) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/16 binary64)) (/.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 3/16 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/16 binary64)) (neg.f64 (neg.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 3/16 binary64)))) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/16 binary64)) (*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 3/16 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/16 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/16 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/8 binary64)))) #s(literal 0 binary64)) |
(fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/8 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/8 binary64))) #s(literal 0 binary64)) |
(fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/8 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/8 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/32 binary64)) (*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/32 binary64)) (pow.f64 #s(literal 1/4 binary64) #s(literal 3/16 binary64))) #s(literal 0 binary64)) |
(fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/16 binary64))) (neg.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 3/16 binary64))) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 3/16 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/16 binary64))) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 3/16 binary64))) (/.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/16 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 3/16 binary64)) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/16 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 3/16 binary64)) (/.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/16 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 3/16 binary64)) (*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/16 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/16 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/16 binary64)) (pow.f64 #s(literal 1/4 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 1/4 binary64)) #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (/.f64 (log.f64 #s(literal 1/4 binary64)) #s(literal 2 binary64))) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 (neg.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 3/16 binary64)))) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/16 binary64)) #s(literal 0 binary64)) |
(fma.f64 (*.f64 #s(literal 1 binary64) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/16 binary64))) (pow.f64 #s(literal 1/4 binary64) #s(literal 3/16 binary64)) #s(literal 0 binary64)) |
(fma.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/8 binary64)))) (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/8 binary64))) #s(literal 0 binary64)) |
(fma.f64 (*.f64 #s(literal 1 binary64) (pow.f64 #s(literal 1/4 binary64) #s(literal 3/16 binary64))) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/16 binary64)) #s(literal 0 binary64)) |
(fma.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 3/16 binary64)))) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/16 binary64)) #s(literal 0 binary64)) |
(fma.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/8 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/16 binary64)))) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/16 binary64)) #s(literal 0 binary64)) |
(fma.f64 (*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 3/16 binary64)) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/32 binary64))) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/32 binary64)) #s(literal 0 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 1/4 binary64) #s(literal -3/16 binary64))) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/16 binary64)) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/8 binary64)) (pow.f64 #s(literal 1/4 binary64) #s(literal -1/16 binary64))) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/16 binary64)) #s(literal 0 binary64)) |
(neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)))) |
(/.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64))) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 1/4 binary64) #s(literal -1/4 binary64))) |
(/.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/8 binary64)) (pow.f64 #s(literal 1/4 binary64) #s(literal -1/8 binary64))) |
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 1/4 binary64) #s(literal -1/4 binary64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/8 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 1/4 binary64) #s(literal -1/8 binary64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 1/4 binary64) #s(literal 3/4 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/2 binary64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 1/4 binary64) #s(literal 3/4 binary64))) (*.f64 #s(literal -1 binary64) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/2 binary64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 1/4 binary64) #s(literal 3/4 binary64)))) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/2 binary64))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/2 binary64)))) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64))) |
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 #s(literal 1/4 binary64) #s(literal 3/4 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 0 binary64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64))) #s(literal 3 binary64))) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/2 binary64))) |
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 1/4 binary64) #s(literal 3/4 binary64)))) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/2 binary64))) |
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/2 binary64)))) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64))) |
(pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal -1/4 binary64)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/8 binary64)) #s(literal 2 binary64)) |
(pow.f64 #s(literal 1/16 binary64) #s(literal 1/8 binary64)) |
(pow.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/16 binary64)) #s(literal 4 binary64)) |
(pow.f64 (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/8 binary64))) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (log.f64 #s(literal 1/4 binary64))) |
(pow.f64 #s(literal 1/256 binary64) #s(literal 1/16 binary64)) |
(pow.f64 (exp.f64 (log.f64 #s(literal 1/16 binary64))) #s(literal 1/8 binary64)) |
(*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/8 binary64)) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/8 binary64))) |
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/16 binary64)) (pow.f64 #s(literal 1/4 binary64) #s(literal 3/16 binary64))) |
(*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/16 binary64)) (/.f64 (neg.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 3/16 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/16 binary64)) (/.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/16 binary64)) (pow.f64 #s(literal 1/4 binary64) #s(literal -1/8 binary64)))) |
(*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/16 binary64)) (/.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 3/16 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/16 binary64)) (neg.f64 (neg.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 3/16 binary64))))) |
(*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/16 binary64)) (*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 3/16 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/16 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/16 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/8 binary64))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/8 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/8 binary64)))) |
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/8 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/8 binary64))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/32 binary64)) (*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/32 binary64)) (pow.f64 #s(literal 1/4 binary64) #s(literal 3/16 binary64)))) |
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/16 binary64))) (neg.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 3/16 binary64)))) |
(*.f64 (neg.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 3/16 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/16 binary64)))) |
(*.f64 (neg.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 3/16 binary64))) (/.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/16 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 3/16 binary64)) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/16 binary64))) |
(*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 3/16 binary64)) (/.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/16 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 3/16 binary64)) (*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/16 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/16 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/16 binary64)) (pow.f64 #s(literal 1/4 binary64) #s(literal -1/8 binary64)))) |
(*.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (/.f64 (log.f64 #s(literal 1/4 binary64)) #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (/.f64 (log.f64 #s(literal 1/4 binary64)) #s(literal 2 binary64)))) |
(*.f64 (neg.f64 (neg.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 3/16 binary64)))) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/16 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/16 binary64))) (pow.f64 #s(literal 1/4 binary64) #s(literal 3/16 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/8 binary64)))) (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/8 binary64)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 #s(literal 1/4 binary64) #s(literal 3/16 binary64))) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/16 binary64))) |
(*.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 3/16 binary64)))) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/16 binary64))) |
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/8 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/16 binary64)))) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/16 binary64))) |
(*.f64 (*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 3/16 binary64)) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/32 binary64))) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/32 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 1/4 binary64) #s(literal -3/16 binary64))) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/16 binary64))) |
(*.f64 (/.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/8 binary64)) (pow.f64 #s(literal 1/4 binary64) #s(literal -1/16 binary64))) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/16 binary64))) |
| 1× | egg-herbie |
| 1 272× | associate-*r* |
| 1 136× | *-lowering-*.f32 |
| 1 136× | *-lowering-*.f64 |
| 1 136× | accelerator-lowering-fma.f32 |
| 1 136× | accelerator-lowering-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 260 |
| 1 | 47 | 260 |
| 2 | 121 | 260 |
| 3 | 248 | 260 |
| 4 | 486 | 260 |
| 5 | 797 | 260 |
| 6 | 1374 | 260 |
| 7 | 1493 | 260 |
| 8 | 1547 | 260 |
| 9 | 1585 | 260 |
| 10 | 1748 | 260 |
| 11 | 1979 | 260 |
| 12 | 2030 | 260 |
| 13 | 2060 | 260 |
| 14 | 2067 | 260 |
| 15 | 2069 | 260 |
| 16 | 2069 | 260 |
| 17 | 2223 | 260 |
| 18 | 2375 | 260 |
| 19 | 3180 | 260 |
| 20 | 3302 | 260 |
| 21 | 3330 | 260 |
| 22 | 3346 | 260 |
| 23 | 3354 | 260 |
| 24 | 3362 | 260 |
| 25 | 3462 | 260 |
| 26 | 3502 | 260 |
| 27 | 3502 | 260 |
| 28 | 3724 | 260 |
| 0 | 3724 | 260 |
| 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) (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 (sqrt.f64 #s(literal -2 binary64)) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))) |
(* -1 (* x (* (sqrt -2) (sqrt -1)))) |
(-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))) |
(* -1 (* x (* (sqrt -2) (sqrt -1)))) |
(-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))) |
(* -1 (* x (* (sqrt -2) (sqrt -1)))) |
(-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))) |
(* (sqrt x) (sqrt 2)) |
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) |
(* (sqrt x) (sqrt 2)) |
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) |
(* (sqrt x) (sqrt 2)) |
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) |
(* (sqrt x) (sqrt 2)) |
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) |
(* (sqrt x) (sqrt 2)) |
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) |
(* (sqrt x) (sqrt 2)) |
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) |
(* (sqrt x) (sqrt 2)) |
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) |
(* (sqrt x) (sqrt 2)) |
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) |
(* -1 (* (sqrt x) (* (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 4 713 to 869 computations (81.6% saved)
6 alts after pruning (2 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 415 | 2 | 417 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 1 | 2 |
| Done | 0 | 3 | 3 |
| Total | 416 | 6 | 422 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.3% | (/.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) x)) |
| ✓ | 99.4% | (/.f64 x (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64))) |
| ▶ | 99.3% | (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) x)) |
| ✓ | 98.8% | (*.f64 (pow.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3/4 binary64))) |
| ✓ | 99.3% | (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
| ✓ | 53.0% | (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))) |
Compiled 44 to 34 computations (22.7% 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 | (pow.f64 #s(literal 1/4 binary64) #s(literal -1/4 binary64)) |
| ✓ | cost-diff | 128 | (/.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) x)) |
| ✓ | cost-diff | 0 | (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) x) |
| ✓ | cost-diff | 128 | (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 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 | 35 |
| 1 | 16 | 33 |
| 2 | 22 | 31 |
| 3 | 33 | 31 |
| 4 | 50 | 31 |
| 5 | 54 | 31 |
| 6 | 63 | 31 |
| 7 | 65 | 31 |
| 8 | 66 | 31 |
| 0 | 66 | 31 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/ 1 (/ (pow 1/4 1/4) x)) |
1 |
(/ (pow 1/4 1/4) x) |
(pow 1/4 1/4) |
1/4 |
x |
(/ (pow 1/4 -1/4) (/ 1 x)) |
(pow 1/4 -1/4) |
1/4 |
-1/4 |
(/ 1 x) |
1 |
x |
| Outputs |
|---|
(/ 1 (/ (pow 1/4 1/4) x)) |
(/.f64 x (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64))) |
1 |
#s(literal 1 binary64) |
(/ (pow 1/4 1/4) x) |
(/.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) x) |
(pow 1/4 1/4) |
(pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) |
1/4 |
#s(literal 1/4 binary64) |
x |
(/ (pow 1/4 -1/4) (/ 1 x)) |
(*.f64 x (pow.f64 #s(literal 1/4 binary64) #s(literal -1/4 binary64))) |
(pow 1/4 -1/4) |
(pow.f64 #s(literal 1/4 binary64) #s(literal -1/4 binary64)) |
1/4 |
#s(literal 1/4 binary64) |
-1/4 |
#s(literal -1/4 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% | (pow.f64 #s(literal 1/4 binary64) #s(literal -1/4 binary64)) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) x) |
| ✓ | accuracy | 99.3% | (/.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) x)) |
| ✓ | accuracy | 100.0% | (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) |
| ✓ | accuracy | 99.6% | (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) x)) |
| ✓ | accuracy | 99.3% | (/.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) x) |
| 25.0ms | 256× | 0 | valid |
Compiled 37 to 12 computations (67.6% saved)
ival-pow: 7.0ms (50.6% of total)ival-div: 6.0ms (43.4% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ 1 (/ (pow 1/4 1/4) x))> |
#<alt (/ (pow 1/4 1/4) x)> |
#<alt (pow 1/4 1/4)> |
#<alt (/ (pow 1/4 -1/4) (/ 1 x))> |
#<alt (pow 1/4 -1/4)> |
#<alt (/ 1 x)> |
| Outputs |
|---|
#<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)> |
#<alt (* (pow 1/4 1/4) (/ 1 x))> |
#<alt (* (pow 1/4 1/4) (/ 1 x))> |
#<alt (* (pow 1/4 1/4) (/ 1 x))> |
#<alt (* (pow 1/4 1/4) (/ 1 x))> |
#<alt (* (pow 1/4 1/4) (/ 1 x))> |
#<alt (* (pow 1/4 1/4) (/ 1 x))> |
#<alt (* (pow 1/4 1/4) (/ 1 x))> |
#<alt (* (pow 1/4 1/4) (/ 1 x))> |
#<alt (* (pow 1/4 1/4) (/ 1 x))> |
#<alt (* (pow 1/4 1/4) (/ 1 x))> |
#<alt (* (pow 1/4 1/4) (/ 1 x))> |
#<alt (* (pow 1/4 1/4) (/ 1 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)> |
#<alt (* (pow 4 1/4) 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)> |
#<alt (/ 1 x)> |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 15.0ms | x | @ | 0 | (/ (pow 1/4 1/4) x) |
| 12.0ms | x | @ | 0 | (/ (pow 1/4 -1/4) (/ 1 x)) |
| 5.0ms | x | @ | inf | (/ (pow 1/4 1/4) x) |
| 0.0ms | x | @ | -inf | (/ (pow 1/4 1/4) x) |
| 0.0ms | x | @ | -inf | (/ 1 x) |
| 1× | batch-egg-rewrite |
| 2 866× | *-lowering-*.f32 |
| 2 866× | *-lowering-*.f64 |
| 2 128× | /-lowering-/.f32 |
| 2 128× | /-lowering-/.f64 |
| 1 666× | accelerator-lowering-fma.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 28 |
| 1 | 56 | 24 |
| 2 | 252 | 24 |
| 3 | 1303 | 24 |
| 0 | 8089 | 24 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 (/ (pow 1/4 1/4) x)) |
(/ (pow 1/4 1/4) x) |
(pow 1/4 1/4) |
(/ (pow 1/4 -1/4) (/ 1 x)) |
(pow 1/4 -1/4) |
(/ 1 x) |
| Outputs |
|---|
(+.f64 #s(literal 0 binary64) (/.f64 x (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)))) |
(+.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)) (/.f64 x (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)))) |
(+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 1/4 binary64) #s(literal -1/4 binary64))) #s(literal 0 binary64)) (/.f64 x (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)))) |
(exp.f64 (log.f64 (/.f64 x (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 x (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64))))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/2 binary64)))) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (/.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) x))) #s(literal 2 binary64))) |
(exp.f64 (+.f64 (*.f64 (log.f64 #s(literal 1/4 binary64)) #s(literal -1/8 binary64)) (+.f64 (*.f64 (log.f64 #s(literal 1/4 binary64)) #s(literal -1/8 binary64)) (log.f64 x)))) |
(exp.f64 (+.f64 (+.f64 (*.f64 (log.f64 #s(literal 1/4 binary64)) #s(literal -1/8 binary64)) (log.f64 x)) (*.f64 (log.f64 #s(literal 1/4 binary64)) #s(literal -1/8 binary64)))) |
(exp.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (/.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) x))) (*.f64 #s(literal -1/2 binary64) (log.f64 (/.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) x))))) |
(exp.f64 (-.f64 (+.f64 (*.f64 (log.f64 #s(literal 1/4 binary64)) #s(literal -1/8 binary64)) (log.f64 x)) (*.f64 (log.f64 #s(literal 1/4 binary64)) #s(literal 1/8 binary64)))) |
(-.f64 #s(literal 0 binary64) (/.f64 x (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/8 binary64)) x))) (/.f64 x (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64))))) |
(fma.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64) (/.f64 x (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)))) |
(fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 1/4 binary64) #s(literal -1/4 binary64))) #s(literal 0 binary64) (/.f64 x (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)))) |
(neg.f64 (/.f64 x (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal -1/4 binary64)) (pow.f64 x #s(literal -1/2 binary64))))) |
(/.f64 x (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64))) |
(/.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64))) x)) |
(/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64))) (/.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) x))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 1/4 binary64) #s(literal -1/4 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 1/4 binary64) #s(literal 1/4 binary64)) x))) |
(/.f64 (/.f64 x (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64))) #s(literal 1 binary64)) |
(/.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal -1/8 binary64)) (/.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/8 binary64)) x)) |
(/.f64 (/.f64 x (pow.f64 #s(literal 1/4 binary64) #s(literal 1/8 binary64))) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/8 binary64))) |
(/.f64 (sqrt.f64 (/.f64 x (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 #s(literal 1/4 binary64) #s(literal -1/8 binary64)))) |
(/.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal -1/16 binary64)) (/.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 3/16 binary64)) x)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 1/4 binary64) #s(literal -1/8 binary64))) (-.f64 #s(literal 0 binary64) (/.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/8 binary64)) x))) |
(/.f64 (/.f64 x (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)))) #s(literal -1 binary64)) |
(/.f64 (sqrt.f64 x) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 #s(literal 1/4 binary64) #s(literal -1/4 binary64)))) |
(/.f64 (/.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal -1/4 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64))) |
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 x (pow.f64 #s(literal 1/4 binary64) #s(literal 1/8 binary64)))) (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/8 binary64)))) |
(/.f64 (/.f64 x (pow.f64 #s(literal 1/4 binary64) #s(literal 1/16 binary64))) (pow.f64 #s(literal 1/4 binary64) #s(literal 3/16 binary64))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64))) (*.f64 x x))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 1/4 binary64) #s(literal -3/4 binary64))) (*.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 #s(literal 1/4 binary64) #s(literal -1/2 binary64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64))) x)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 1/4 binary64) #s(literal -1/2 binary64))) (*.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 #s(literal 1/4 binary64) #s(literal -1/4 binary64)))) |
(/.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal -3/16 binary64)) (/.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/16 binary64)) x)) |
(/.f64 (/.f64 x (pow.f64 #s(literal 1/4 binary64) #s(literal 3/16 binary64))) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/16 binary64))) |
(/.f64 (/.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal -1/4 binary64)) (-.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)))) |
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(fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 1/4 binary64) #s(literal -1/16 binary64))) (/.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal -1/16 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/8 binary64)))) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal -3/16 binary64)) (pow.f64 #s(literal 1/4 binary64) #s(literal -1/16 binary64)) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal -3/16 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 1/4 binary64) #s(literal -1/16 binary64))) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 3/16 binary64)) #s(literal -1 binary64)) (pow.f64 #s(literal 1/4 binary64) #s(literal -1/16 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (/.f64 (log.f64 #s(literal 1/4 binary64)) #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (/.f64 (log.f64 #s(literal 1/4 binary64)) #s(literal 2 binary64))) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 (neg.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal -3/16 binary64)))) (pow.f64 #s(literal 1/4 binary64) #s(literal -1/16 binary64)) #s(literal 0 binary64)) |
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 1/4 binary64) #s(literal 3/4 binary64)))) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/2 binary64)))) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) #s(literal 0 binary64)) |
(neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 1/4 binary64) #s(literal -1/4 binary64)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64))) |
(/.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 1/4 binary64) #s(literal -1/4 binary64))) #s(literal -1 binary64)) |
(/.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal -1/8 binary64)) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/8 binary64))) |
(/.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal -1/16 binary64)) (pow.f64 #s(literal 1/4 binary64) #s(literal 3/16 binary64))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 1/4 binary64) #s(literal -1/8 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/8 binary64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 1/4 binary64) #s(literal -3/4 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 1/4 binary64) #s(literal -1/2 binary64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 1/4 binary64) #s(literal -3/4 binary64))) (*.f64 #s(literal -1 binary64) (pow.f64 #s(literal 1/4 binary64) #s(literal -1/2 binary64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 1/4 binary64) #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 1/4 binary64) #s(literal -1/4 binary64)))) |
(/.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal -3/16 binary64)) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/16 binary64))) |
(/.f64 (neg.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal -3/16 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/16 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 1/4 binary64) #s(literal -3/4 binary64)))) (pow.f64 #s(literal 1/4 binary64) #s(literal -1/2 binary64))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 1/4 binary64) #s(literal -1/2 binary64)))) (pow.f64 #s(literal 1/4 binary64) #s(literal -1/4 binary64))) |
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 #s(literal 1/4 binary64) #s(literal -3/4 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal -1/2 binary64)) #s(literal 0 binary64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 1/4 binary64) #s(literal -1/4 binary64))) #s(literal 3 binary64))) (pow.f64 #s(literal 1/4 binary64) #s(literal -1/2 binary64))) |
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 1/4 binary64) #s(literal -3/4 binary64)))) (pow.f64 #s(literal 1/4 binary64) #s(literal -1/2 binary64))) |
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 1/4 binary64) #s(literal -1/2 binary64)))) (pow.f64 #s(literal 1/4 binary64) #s(literal -1/4 binary64))) |
(/.f64 (*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal -3/16 binary64)) #s(literal 1 binary64)) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/16 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 1/4 binary64) #s(literal -3/4 binary64))) #s(literal -1 binary64)) (pow.f64 #s(literal 1/4 binary64) #s(literal -1/2 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 1/4 binary64) #s(literal -1/2 binary64))) #s(literal -1 binary64)) (pow.f64 #s(literal 1/4 binary64) #s(literal -1/4 binary64))) |
(pow.f64 #s(literal 1/4 binary64) #s(literal -1/4 binary64)) |
(pow.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/8 binary64)) #s(literal -2 binary64)) |
(pow.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal -1/8 binary64)) #s(literal 2 binary64)) |
(pow.f64 #s(literal 1/16 binary64) #s(literal -1/8 binary64)) |
(pow.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal -1/16 binary64)) #s(literal 4 binary64)) |
(pow.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/16 binary64)) #s(literal -4 binary64)) |
(pow.f64 (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 1/4 binary64) #s(literal -1/8 binary64))) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 #s(literal -1/4 binary64)) (log.f64 #s(literal 1/4 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 1/4 binary64)) #s(literal -1 binary64))) |
(pow.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) |
(pow.f64 #s(literal 1/256 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 (log.f64 #s(literal 1/16 binary64))) #s(literal -1/8 binary64)) |
(pow.f64 (exp.f64 (log.f64 #s(literal 4 binary64))) #s(literal 1/4 binary64)) |
(*.f64 #s(literal 1 binary64) (pow.f64 #s(literal 1/4 binary64) #s(literal -1/4 binary64))) |
(*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 1/4 binary64) #s(literal -1/4 binary64)))) |
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 1/4 binary64) #s(literal -1/4 binary64))) #s(literal -1 binary64)) |
(*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal -1/8 binary64)) (pow.f64 #s(literal 1/4 binary64) #s(literal -1/8 binary64))) |
(*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal -1/16 binary64)) (pow.f64 #s(literal 1/4 binary64) #s(literal -3/16 binary64))) |
(*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal -1/16 binary64)) (pow.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 3/16 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal -1/16 binary64)) (neg.f64 (neg.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal -3/16 binary64))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 1/4 binary64) #s(literal -1/8 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 1/4 binary64) #s(literal -1/8 binary64)))) |
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 1/4 binary64) #s(literal -1/16 binary64))) (neg.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal -3/16 binary64)))) |
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 1/4 binary64) #s(literal -1/16 binary64))) (/.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal -1/16 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/8 binary64))))) |
(*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal -3/16 binary64)) (pow.f64 #s(literal 1/4 binary64) #s(literal -1/16 binary64))) |
(*.f64 (neg.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal -3/16 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 1/4 binary64) #s(literal -1/16 binary64)))) |
(*.f64 (pow.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 3/16 binary64)) #s(literal -1 binary64)) (pow.f64 #s(literal 1/4 binary64) #s(literal -1/16 binary64))) |
(*.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (/.f64 (log.f64 #s(literal 1/4 binary64)) #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (/.f64 (log.f64 #s(literal 1/4 binary64)) #s(literal 2 binary64)))) |
(*.f64 (neg.f64 (neg.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal -3/16 binary64)))) (pow.f64 #s(literal 1/4 binary64) #s(literal -1/16 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 1/4 binary64) #s(literal 3/4 binary64)))) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/2 binary64)))) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 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 (-.f64 #s(literal 0 binary64) (log.f64 x))) |
(exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 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)) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x) #s(literal 0 binary64)) |
(fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64)))) #s(literal 0 binary64)) |
(fma.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))) #s(literal 0 binary64)) |
(fma.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)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) #s(literal 0 binary64)) |
(fma.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)) #s(literal 0 binary64)) |
(fma.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) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64)))) (pow.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x x) #s(literal 0 binary64)) |
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x))) x #s(literal 0 binary64)) |
(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 (-.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 (-.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 |
| 20× | *-lowering-*.f32 |
| 20× | *-lowering-*.f64 |
| 6× | *-commutative |
| 4× | pow-lowering-pow.f64 |
| 4× | pow-lowering-pow.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 240 |
| 1 | 15 | 216 |
| 2 | 18 | 216 |
| 3 | 25 | 216 |
| 4 | 25 | 216 |
| 0 | 25 | 216 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(* (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) |
(* (pow 1/4 1/4) (/ 1 x)) |
(* (pow 1/4 1/4) (/ 1 x)) |
(* (pow 1/4 1/4) (/ 1 x)) |
(* (pow 1/4 1/4) (/ 1 x)) |
(* (pow 1/4 1/4) (/ 1 x)) |
(* (pow 1/4 1/4) (/ 1 x)) |
(* (pow 1/4 1/4) (/ 1 x)) |
(* (pow 1/4 1/4) (/ 1 x)) |
(* (pow 1/4 1/4) (/ 1 x)) |
(* (pow 1/4 1/4) (/ 1 x)) |
(* (pow 1/4 1/4) (/ 1 x)) |
(* (pow 1/4 1/4) (/ 1 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) |
(* (pow 4 1/4) x) |
(/ 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 |
|---|
(* (pow 4 1/4) x) |
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) x) |
(* (pow 4 1/4) x) |
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) x) |
(* (pow 4 1/4) x) |
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) x) |
(* (pow 4 1/4) x) |
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) x) |
(* (pow 4 1/4) x) |
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) x) |
(* (pow 4 1/4) x) |
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) x) |
(* (pow 4 1/4) x) |
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) x) |
(* (pow 4 1/4) x) |
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) x) |
(* (pow 4 1/4) x) |
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) x) |
(* (pow 4 1/4) x) |
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) x) |
(* (pow 4 1/4) x) |
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) x) |
(* (pow 4 1/4) x) |
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) x) |
(* (pow 1/4 1/4) (/ 1 x)) |
(/.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) x) |
(* (pow 1/4 1/4) (/ 1 x)) |
(/.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) x) |
(* (pow 1/4 1/4) (/ 1 x)) |
(/.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) x) |
(* (pow 1/4 1/4) (/ 1 x)) |
(/.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) x) |
(* (pow 1/4 1/4) (/ 1 x)) |
(/.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) x) |
(* (pow 1/4 1/4) (/ 1 x)) |
(/.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) x) |
(* (pow 1/4 1/4) (/ 1 x)) |
(/.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) x) |
(* (pow 1/4 1/4) (/ 1 x)) |
(/.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) x) |
(* (pow 1/4 1/4) (/ 1 x)) |
(/.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) x) |
(* (pow 1/4 1/4) (/ 1 x)) |
(/.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) x) |
(* (pow 1/4 1/4) (/ 1 x)) |
(/.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) x) |
(* (pow 1/4 1/4) (/ 1 x)) |
(/.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) x) |
(* (pow 4 1/4) x) |
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) x) |
(* (pow 4 1/4) x) |
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) x) |
(* (pow 4 1/4) x) |
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) x) |
(* (pow 4 1/4) x) |
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) x) |
(* (pow 4 1/4) x) |
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) x) |
(* (pow 4 1/4) x) |
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) x) |
(* (pow 4 1/4) x) |
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) x) |
(* (pow 4 1/4) x) |
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) x) |
(* (pow 4 1/4) x) |
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) x) |
(* (pow 4 1/4) x) |
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) x) |
(* (pow 4 1/4) x) |
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) x) |
(* (pow 4 1/4) x) |
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 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) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
Compiled 10 506 to 1 544 computations (85.3% saved)
6 alts after pruning (1 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 758 | 1 | 759 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 2 | 2 |
| Done | 1 | 3 | 4 |
| Total | 759 | 6 | 765 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.3% | (/.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) x)) |
| 99.2% | (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) x)) | |
| ✓ | 99.4% | (/.f64 x (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64))) |
| ✓ | 99.3% | (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) x)) |
| ✓ | 99.3% | (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
| ✓ | 53.0% | (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))) |
Compiled 126 to 74 computations (41.3% saved)
| Inputs |
|---|
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(/.f64 x (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64))) |
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) x)) |
(/.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) x)) |
(*.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 7/8 binary64)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)))) |
| Outputs |
|---|
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 x)) |
4 calls:
| 4.0ms | x |
| 3.0ms | (*.f64 x x) |
| 3.0ms | (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))) |
| 3.0ms | (*.f64 #s(literal 2 binary64) (*.f64 x x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 1 | x |
| 99.5% | 1 | (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))) |
| 99.5% | 1 | (*.f64 #s(literal 2 binary64) (*.f64 x x)) |
| 99.5% | 1 | (*.f64 x x) |
Compiled 19 to 12 computations (36.8% saved)
| Inputs |
|---|
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(/.f64 x (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64))) |
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) x)) |
(/.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) x)) |
| Outputs |
|---|
(/.f64 x (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64))) |
4 calls:
| 3.0ms | (*.f64 x x) |
| 2.0ms | x |
| 2.0ms | (*.f64 #s(literal 2 binary64) (*.f64 x x)) |
| 2.0ms | (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.4% | 1 | x |
| 99.4% | 1 | (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))) |
| 99.4% | 1 | (*.f64 #s(literal 2 binary64) (*.f64 x x)) |
| 99.4% | 1 | (*.f64 x x) |
Compiled 19 to 12 computations (36.8% 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 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 16 |
| 1 | 14 | 16 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 x)) |
(/.f64 x (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
| Outputs |
|---|
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 x)) |
(/.f64 x (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
| 6 020× | accelerator-lowering-fma.f32 |
| 6 020× | accelerator-lowering-fma.f64 |
| 4 632× | accelerator-lowering-fma.f32 |
| 4 632× | accelerator-lowering-fma.f64 |
| 4 592× | *-lowering-*.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 14 |
| 1 | 14 | 13 |
| 2 | 43 | 12 |
| 3 | 120 | 12 |
| 4 | 577 | 12 |
| 5 | 3941 | 12 |
| 0 | 8197 | 12 |
| 0 | 25 | 82 |
| 1 | 80 | 77 |
| 2 | 241 | 67 |
| 3 | 1037 | 66 |
| 4 | 4177 | 66 |
| 0 | 8070 | 66 |
| 0 | 82 | 964 |
| 1 | 198 | 964 |
| 2 | 489 | 924 |
| 3 | 886 | 900 |
| 4 | 1327 | 892 |
| 5 | 1912 | 892 |
| 6 | 3075 | 892 |
| 7 | 4667 | 892 |
| 8 | 6905 | 892 |
| 0 | 8112 | 892 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 46 to 33 computations (28.3% saved)
Compiled 80 to 56 computations (30% saved)
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