
Time bar (total: 5.1s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 50% | 49.9% | 49.9% | 0.1% | 0% | 0% | 0% | 4 |
| 50% | 49.9% | 49.9% | 0.1% | 0% | 0% | 0% | 5 |
| 50% | 49.9% | 49.9% | 0.1% | 0% | 0% | 0% | 6 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 7 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 8 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 9 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 10 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 11 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 11 to 7 computations (36.4% saved)
ival-mult: 6.0ms (48.5% of total)ival-add: 3.0ms (24.3% of total)ival-div: 2.0ms (16.2% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 527.0ms | 8256× | 0 | valid |
ival-mult: 78.0ms (39.3% of total)ival-div: 66.0ms (33.3% of total)ival-add: 45.0ms (22.7% of total)const: 7.0ms (3.5% of total)backward-pass: 3.0ms (1.5% of total)| 2× | egg-herbie |
| 2106× | fnmadd-define |
| 1638× | fma-define |
| 1606× | sum3-define |
| 1086× | fmsub-define |
| 1034× | fnmsub-define |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 65 |
| 1 | 76 | 61 |
| 2 | 194 | 60 |
| 3 | 707 | 60 |
| 4 | 1846 | 60 |
| 5 | 3941 | 60 |
| 6 | 5943 | 60 |
| 7 | 6755 | 60 |
| 8 | 7177 | 60 |
| 9 | 7329 | 60 |
| 10 | 7345 | 60 |
| 0 | 6 | 6 |
| 1 | 10 | 6 |
| 2 | 12 | 6 |
| 3 | 13 | 6 |
| 0 | 13 | 6 |
| 1× | iter limit |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
(+ x (/ (* y y) z)) |
| Outputs |
|---|
(+ x (/ (* y y) z)) |
(+.f64 x (*.f64 y (/.f64 y z))) |
| Inputs |
|---|
(+ x (/ (* y y) z)) |
(+ (neg x) (/ (* y y) z)) |
(+ x (/ (* (neg y) (neg y)) z)) |
(+ x (/ (* y y) (neg z))) |
(neg (+ (neg x) (/ (* y y) z))) |
(neg (+ x (/ (* (neg y) (neg y)) z))) |
(neg (+ x (/ (* y y) (neg z)))) |
(+ y (/ (* x x) z)) |
(+ z (/ (* y y) x)) |
(+ x (/ (* z z) y)) |
| Outputs |
|---|
(+ x (/ (* y y) z)) |
(fma y (/ y z) x) |
(+ (neg x) (/ (* y y) z)) |
(fmsub y (/ y z) x) |
(+ x (/ (* (neg y) (neg y)) z)) |
(fma y (/ y z) x) |
(+ x (/ (* y y) (neg z))) |
(fnmadd y (/ y z) x) |
(neg (+ (neg x) (/ (* y y) z))) |
(fnmadd y (/ y z) x) |
(neg (+ x (/ (* (neg y) (neg y)) z))) |
(fnmsub y (/ y z) x) |
(neg (+ x (/ (* y y) (neg z)))) |
(fmsub y (/ y z) x) |
(+ y (/ (* x x) z)) |
(+ y (/ (square x) z)) |
(+ z (/ (* y y) x)) |
(+ z (/ (square y) x)) |
(+ x (/ (* z z) y)) |
(fma z (/ z y) x) |
(abs y)
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 43 | 0 | - | 1 | (3.905291056607971e-181 5.750338590710968e-161 2.951262716870316e-283) | (/.f64 (*.f64 y y) z) |
| 0 | 0 | - | 0 | - | x |
| 0 | 0 | - | 0 | - | (*.f64 y y) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | (+.f64 x (/.f64 (*.f64 y y) z)) |
| 0 | 0 | - | 0 | - | y |
| 55.0ms | 512× | 0 | valid |
Compiled 54 to 20 computations (63% saved)
ival-div: 4.0ms (34.2% of total)ival-mult: 4.0ms (34.2% of total)ival-add: 3.0ms (25.7% of total)const: 1.0ms (8.6% of total)backward-pass: 0.0ms (0% of total)Compiled 10 to 6 computations (40% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 90.2% | (+.f64 x (/.f64 (*.f64 y y) z)) |
| ▶ | 99.9% | (+.f64 x (*.f64 y (/.f64 y z))) |
Compiled 20 to 12 computations (40% saved)
| 1× | egg-herbie |
Found 6 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 y y) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 y y) z) |
| ✓ | cost-diff | 0 | (+.f64 x (/.f64 (*.f64 y y) z)) |
| ✓ | cost-diff | 0 | (/.f64 y z) |
| ✓ | cost-diff | 0 | (*.f64 y (/.f64 y z)) |
| ✓ | cost-diff | 0 | (+.f64 x (*.f64 y (/.f64 y z))) |
| 6× | *-lowering-*.f32 |
| 6× | *-lowering-*.f64 |
| 4× | fma-lowering-fma.f32 |
| 4× | fma-define |
| 4× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 31 |
| 1 | 12 | 31 |
| 2 | 14 | 31 |
| 0 | 14 | 31 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(+ x (* y (/ y z))) |
x |
(* y (/ y z)) |
y |
(/ y z) |
z |
(+ x (/ (* y y) z)) |
x |
(/ (* y y) z) |
(* y y) |
y |
z |
| Outputs |
|---|
(+ x (* y (/ y z))) |
(+.f64 x (/.f64 (*.f64 y y) z)) |
x |
(* y (/ y z)) |
(/.f64 (*.f64 y y) z) |
y |
(/ y z) |
(/.f64 y z) |
z |
(+ x (/ (* y y) z)) |
(+.f64 x (/.f64 (*.f64 y y) z)) |
x |
(/ (* y y) z) |
(/.f64 (*.f64 y y) z) |
(* y y) |
(*.f64 y y) |
y |
z |
Found 6 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (+.f64 x (/.f64 (*.f64 y y) z)) |
| ✓ | accuracy | 100.0% | (*.f64 y y) |
| ✓ | accuracy | 84.3% | (/.f64 (*.f64 y y) z) |
| ✓ | accuracy | 100.0% | (/.f64 y z) |
| ✓ | accuracy | 100.0% | (+.f64 x (*.f64 y (/.f64 y z))) |
| ✓ | accuracy | 99.8% | (*.f64 y (/.f64 y z)) |
| 40.0ms | 256× | 0 | valid |
Compiled 40 to 10 computations (75% saved)
ival-div: 4.0ms (38.1% of total)ival-mult: 4.0ms (38.1% of total)ival-add: 2.0ms (19% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+ x (* y (/ y z)))> |
#<alt (* y (/ y z))> |
#<alt (/ y z)> |
#<alt (+ x (/ (* y y) z))> |
#<alt (/ (* y y) z)> |
#<alt (* y y)> |
| Outputs |
|---|
#<alt (/ (pow y 2) z)> |
#<alt (+ x (/ (pow y 2) z))> |
#<alt (+ x (/ (pow y 2) z))> |
#<alt (+ x (/ (pow y 2) z))> |
#<alt x> |
#<alt (* x (+ 1 (/ (pow y 2) (* x z))))> |
#<alt (* x (+ 1 (/ (pow y 2) (* x z))))> |
#<alt (* x (+ 1 (/ (pow y 2) (* x z))))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1)))> |
#<alt x> |
#<alt (+ x (/ (pow y 2) z))> |
#<alt (+ x (/ (pow y 2) z))> |
#<alt (+ x (/ (pow y 2) z))> |
#<alt (/ (pow y 2) z)> |
#<alt (* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))> |
#<alt (* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))> |
#<alt (* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))> |
#<alt (/ (pow y 2) z)> |
#<alt (* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))> |
#<alt (* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))> |
#<alt (* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (+ (* x z) (pow y 2)) z)> |
#<alt (/ (+ (* x z) (pow y 2)) z)> |
#<alt (/ (+ (* x z) (pow y 2)) z)> |
#<alt x> |
#<alt (+ x (/ (pow y 2) z))> |
#<alt (+ x (/ (pow y 2) z))> |
#<alt (+ x (/ (pow y 2) z))> |
#<alt x> |
#<alt (+ x (/ (pow y 2) z))> |
#<alt (+ x (/ (pow y 2) z))> |
#<alt (+ x (/ (pow y 2) z))> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ y z)> |
#<alt (/ y z)> |
#<alt (/ y z)> |
#<alt (/ y z)> |
#<alt (/ y z)> |
#<alt (/ y z)> |
#<alt (/ y z)> |
#<alt (/ y z)> |
#<alt (/ y z)> |
#<alt (/ y z)> |
#<alt (/ y z)> |
#<alt (/ y z)> |
#<alt (/ y z)> |
#<alt (/ y z)> |
#<alt (/ y z)> |
#<alt (/ y z)> |
#<alt (/ y z)> |
#<alt (/ y z)> |
#<alt (/ y z)> |
#<alt (/ y z)> |
#<alt (/ y z)> |
#<alt (/ y z)> |
#<alt (/ y z)> |
#<alt (/ y z)> |
#<alt (/ (pow y 2) z)> |
#<alt (+ x (/ (pow y 2) z))> |
#<alt (+ x (/ (pow y 2) z))> |
#<alt (+ x (/ (pow y 2) z))> |
#<alt x> |
#<alt (* x (+ 1 (/ (pow y 2) (* x z))))> |
#<alt (* x (+ 1 (/ (pow y 2) (* x z))))> |
#<alt (* x (+ 1 (/ (pow y 2) (* x z))))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1)))> |
#<alt x> |
#<alt (+ x (/ (pow y 2) z))> |
#<alt (+ x (/ (pow y 2) z))> |
#<alt (+ x (/ (pow y 2) z))> |
#<alt (/ (pow y 2) z)> |
#<alt (* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))> |
#<alt (* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))> |
#<alt (* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))> |
#<alt (/ (pow y 2) z)> |
#<alt (* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))> |
#<alt (* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))> |
#<alt (* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (+ (* x z) (pow y 2)) z)> |
#<alt (/ (+ (* x z) (pow y 2)) z)> |
#<alt (/ (+ (* x z) (pow y 2)) z)> |
#<alt x> |
#<alt (+ x (/ (pow y 2) z))> |
#<alt (+ x (/ (pow y 2) z))> |
#<alt (+ x (/ (pow y 2) z))> |
#<alt x> |
#<alt (+ x (/ (pow y 2) z))> |
#<alt (+ x (/ (pow y 2) z))> |
#<alt (+ x (/ (pow y 2) z))> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
39 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | z | @ | 0 | (/ y z) |
| 0.0ms | z | @ | 0 | (+ x (* y (/ y z))) |
| 0.0ms | x | @ | 0 | (+ x (* y (/ y z))) |
| 0.0ms | y | @ | 0 | (+ x (* y (/ y z))) |
| 0.0ms | y | @ | inf | (+ x (* y (/ y z))) |
| 1× | batch-egg-rewrite |
| 2638× | *-lowering-*.f32 |
| 2638× | *-lowering-*.f64 |
| 1958× | /-lowering-/.f32 |
| 1958× | /-lowering-/.f64 |
| 1870× | frac-times |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 25 |
| 1 | 53 | 25 |
| 2 | 341 | 25 |
| 3 | 5942 | 25 |
| 0 | 8344 | 25 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ x (* y (/ y z))) |
(* y (/ y z)) |
(/ y z) |
(+ x (/ (* y y) z)) |
(/ (* y y) z) |
(* y y) |
| Outputs |
|---|
(+.f64 x (/.f64 y (/.f64 z y))) |
(+.f64 (/.f64 y (/.f64 z y)) x) |
(+.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 y (/.f64 z y)))) (neg.f64 (/.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) z) (*.f64 (-.f64 x (/.f64 y (/.f64 z y))) z)))) |
(-.f64 x (-.f64 #s(literal 0 binary64) (/.f64 y (/.f64 z y)))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 y (/.f64 z y)))) (/.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) z) (*.f64 (-.f64 x (/.f64 y (/.f64 z y))) z))) |
(-.f64 (/.f64 (/.f64 (/.f64 y (/.f64 z y)) (/.f64 (/.f64 z y) y)) (-.f64 (/.f64 y (/.f64 z y)) x)) (/.f64 (*.f64 x x) (-.f64 (/.f64 y (/.f64 z y)) x))) |
(fma.f64 x #s(literal 1 binary64) (/.f64 y (/.f64 z y))) |
(fma.f64 x (/.f64 x (-.f64 x (/.f64 y (/.f64 z y)))) (neg.f64 (/.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) z) (*.f64 (-.f64 x (/.f64 y (/.f64 z y))) z)))) |
(fma.f64 y (/.f64 y z) x) |
(fma.f64 (/.f64 y z) y x) |
(fma.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) z) x) |
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal -1 binary64) z) x) |
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 y (/.f64 z y)))) (neg.f64 (/.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) z) (*.f64 (-.f64 x (/.f64 y (/.f64 z y))) z)))) |
(fma.f64 #s(literal 1 binary64) x (/.f64 y (/.f64 z y))) |
(fma.f64 #s(literal 1 binary64) (/.f64 y (/.f64 z y)) x) |
(fma.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y y) x) |
(fma.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) (/.f64 (/.f64 y (/.f64 z y)) (/.f64 (/.f64 z y) y)))) (+.f64 x (/.f64 y (/.f64 z y))) (neg.f64 (/.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) z) (*.f64 (-.f64 x (/.f64 y (/.f64 z y))) z)))) |
(fma.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 y (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) z)) (*.f64 (/.f64 z y) z)))) (+.f64 (*.f64 x x) (*.f64 (/.f64 y (/.f64 z y)) (+.f64 x (/.f64 y (/.f64 z y))))) (neg.f64 (/.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) z) (*.f64 (-.f64 x (/.f64 y (/.f64 z y))) z)))) |
(neg.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 y (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) z)) (*.f64 (/.f64 z y) z))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (/.f64 (-.f64 (/.f64 y (/.f64 z y)) x) (/.f64 (/.f64 z y) y)))))) |
(neg.f64 (/.f64 (-.f64 (*.f64 x x) (/.f64 (/.f64 y (/.f64 z y)) (/.f64 (/.f64 z y) y))) (-.f64 #s(literal 0 binary64) (-.f64 x (/.f64 y (/.f64 z y)))))) |
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 y (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) z)) (*.f64 (/.f64 z y) z)))) (+.f64 (*.f64 x x) (/.f64 (-.f64 (/.f64 y (/.f64 z y)) x) (/.f64 (/.f64 z y) y))))) |
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) (/.f64 (/.f64 y (/.f64 z y)) (/.f64 (/.f64 z y) y)))) (-.f64 x (/.f64 y (/.f64 z y))))) |
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 y (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) z)) (*.f64 (/.f64 z y) z))) (+.f64 (*.f64 x x) (/.f64 (-.f64 (/.f64 y (/.f64 z y)) x) (/.f64 (/.f64 z y) y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 y (/.f64 z y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 y (/.f64 z y)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 y (/.f64 z y)) x) (-.f64 (/.f64 (/.f64 y (/.f64 z y)) (/.f64 (/.f64 z y) y)) (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 x x) (/.f64 (/.f64 y (/.f64 z y)) (/.f64 (/.f64 z y) y))) (-.f64 x (/.f64 y (/.f64 z y)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 y (/.f64 z y)))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 y (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) z)) (*.f64 (/.f64 z y) z)))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (/.f64 (-.f64 (/.f64 y (/.f64 z y)) x) (/.f64 (/.f64 z y) y))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) (/.f64 (/.f64 y (/.f64 z y)) (/.f64 (/.f64 z y) y)))) (-.f64 #s(literal 0 binary64) (-.f64 x (/.f64 y (/.f64 z y))))) |
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 (/.f64 (*.f64 y (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) z)) (*.f64 (/.f64 z y) z)) (/.f64 (/.f64 (*.f64 y (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) z)) (*.f64 (/.f64 z y) z)) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))))))) (*.f64 (+.f64 (*.f64 x x) (/.f64 (-.f64 (/.f64 y (/.f64 z y)) x) (/.f64 (/.f64 z y) y))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (/.f64 (*.f64 y (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) z)) (*.f64 (/.f64 z y) z)) (-.f64 (/.f64 (*.f64 y (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) z)) (*.f64 (/.f64 z y) z)) (*.f64 x (*.f64 x x))))))) |
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(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 y (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) z)) (*.f64 (/.f64 z y) z)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (/.f64 (-.f64 (/.f64 y (/.f64 z y)) x) (/.f64 (/.f64 z y) y)))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) (/.f64 (/.f64 y (/.f64 z y)) (/.f64 (/.f64 z y) y)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 x (/.f64 y (/.f64 z y)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (/.f64 (-.f64 (/.f64 y (/.f64 z y)) x) (/.f64 (/.f64 z y) y)))) (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 y (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) z)) (*.f64 (/.f64 z y) z)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 y (/.f64 z y)))) (-.f64 (*.f64 x x) (/.f64 (/.f64 y (/.f64 z y)) (/.f64 (/.f64 z y) y)))) |
(*.f64 (-.f64 (/.f64 (/.f64 y (/.f64 z y)) (/.f64 (/.f64 z y) y)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 y (/.f64 z y)) x))) |
(*.f64 (/.f64 (-.f64 (*.f64 x x) (/.f64 (/.f64 y (/.f64 z y)) (/.f64 (/.f64 z y) y))) (-.f64 (*.f64 x x) (/.f64 (/.f64 y (/.f64 z y)) (/.f64 (/.f64 z y) y)))) (+.f64 x (/.f64 y (/.f64 z y)))) |
(*.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 y (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) z)) (*.f64 (/.f64 z y) z))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (/.f64 (-.f64 (/.f64 y (/.f64 z y)) x) (/.f64 (/.f64 z y) y)) (*.f64 (/.f64 y (/.f64 z y)) (*.f64 (-.f64 (/.f64 y (/.f64 z y)) x) (/.f64 (-.f64 (/.f64 y (/.f64 z y)) x) (/.f64 (/.f64 z y) y))))))) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (/.f64 (-.f64 (/.f64 y (/.f64 z y)) x) (/.f64 (/.f64 z y) y)) (-.f64 (/.f64 (-.f64 (/.f64 y (/.f64 z y)) x) (/.f64 (/.f64 z y) y)) (*.f64 x x))))) |
(*.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 y (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) z)) (*.f64 (/.f64 z y) z))) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (/.f64 y (/.f64 z y)) (*.f64 (-.f64 (/.f64 y (/.f64 z y)) x) (/.f64 (-.f64 (/.f64 y (/.f64 z y)) x) (/.f64 (/.f64 z y) y)))))) (-.f64 (*.f64 x x) (/.f64 (-.f64 (/.f64 y (/.f64 z y)) x) (/.f64 (/.f64 z y) y)))) |
(*.f64 (/.f64 (-.f64 (*.f64 x x) (/.f64 (/.f64 y (/.f64 z y)) (/.f64 (/.f64 z y) y))) (-.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 y (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) z)) (*.f64 (/.f64 z y) z)))) (+.f64 (*.f64 x x) (*.f64 (/.f64 y (/.f64 z y)) (+.f64 x (/.f64 y (/.f64 z y)))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 z y) y)) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 y (/.f64 z y)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) z)) (-.f64 #s(literal 0 binary64) (/.f64 y (/.f64 z y)))) |
(neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 y (/.f64 z y)))) |
(neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 y (/.f64 z y))) #s(literal 1 binary64))) |
(/.f64 y (/.f64 z y)) |
(/.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 (*.f64 y y) z) |
(/.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (/.f64 z y))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (-.f64 #s(literal 0 binary64) z)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z y) y)) |
(/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) (*.f64 y y))) |
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 z y) y))) |
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) #s(literal -1 binary64)) z) |
(pow.f64 (/.f64 (/.f64 z y) y) #s(literal -1 binary64)) |
(*.f64 y (/.f64 y z)) |
(*.f64 (/.f64 y z) y) |
(*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 (/.f64 y (/.f64 z y)) #s(literal 1 binary64)) |
(*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (/.f64 y z))) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 y (/.f64 z y))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y y)) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y (/.f64 #s(literal 1 binary64) y))) |
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 y (/.f64 z y)))) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (-.f64 #s(literal 0 binary64) (*.f64 y y))) |
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 y z)) (-.f64 #s(literal 0 binary64) y)) |
(*.f64 (/.f64 y #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 y z))) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -1 binary64)) (/.f64 y z)) |
(*.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 y z)) |
(*.f64 (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 y))) |
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 y y))) |
(neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y))) |
(pow.f64 y #s(literal 2 binary64)) |
(pow.f64 (*.f64 y y) #s(literal 1 binary64)) |
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64)) |
(*.f64 y y) |
(*.f64 (*.f64 y y) #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) y)) |
(*.f64 #s(literal 1 binary64) (*.f64 y y)) |
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 y y))) |
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y))) |
| 1× | egg-herbie |
| 2162× | fnmadd-define |
| 1782× | *-lowering-*.f32 |
| 1782× | *-lowering-*.f64 |
| 1756× | fnmsub-define |
| 1504× | fmm-def |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 782 |
| 1 | 63 | 660 |
| 2 | 165 | 660 |
| 3 | 538 | 660 |
| 4 | 2547 | 660 |
| 5 | 6449 | 660 |
| 0 | 8182 | 660 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (pow y 2) z) |
(+ x (/ (pow y 2) z)) |
(+ x (/ (pow y 2) z)) |
(+ x (/ (pow y 2) z)) |
x |
(* x (+ 1 (/ (pow y 2) (* x z)))) |
(* x (+ 1 (/ (pow y 2) (* x z)))) |
(* x (+ 1 (/ (pow y 2) (* x z)))) |
x |
(* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1))) |
(* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1))) |
(* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1))) |
x |
(+ x (/ (pow y 2) z)) |
(+ x (/ (pow y 2) z)) |
(+ x (/ (pow y 2) z)) |
(/ (pow y 2) z) |
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2)))) |
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2)))) |
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2)))) |
(/ (pow y 2) z) |
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2)))) |
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2)))) |
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2)))) |
(/ (pow y 2) z) |
(/ (+ (* x z) (pow y 2)) z) |
(/ (+ (* x z) (pow y 2)) z) |
(/ (+ (* x z) (pow y 2)) z) |
x |
(+ x (/ (pow y 2) z)) |
(+ x (/ (pow y 2) z)) |
(+ x (/ (pow y 2) z)) |
x |
(+ x (/ (pow y 2) z)) |
(+ x (/ (pow y 2) z)) |
(+ x (/ (pow y 2) z)) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ (pow y 2) z) |
(+ x (/ (pow y 2) z)) |
(+ x (/ (pow y 2) z)) |
(+ x (/ (pow y 2) z)) |
x |
(* x (+ 1 (/ (pow y 2) (* x z)))) |
(* x (+ 1 (/ (pow y 2) (* x z)))) |
(* x (+ 1 (/ (pow y 2) (* x z)))) |
x |
(* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1))) |
(* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1))) |
(* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1))) |
x |
(+ x (/ (pow y 2) z)) |
(+ x (/ (pow y 2) z)) |
(+ x (/ (pow y 2) z)) |
(/ (pow y 2) z) |
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2)))) |
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2)))) |
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2)))) |
(/ (pow y 2) z) |
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2)))) |
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2)))) |
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2)))) |
(/ (pow y 2) z) |
(/ (+ (* x z) (pow y 2)) z) |
(/ (+ (* x z) (pow y 2)) z) |
(/ (+ (* x z) (pow y 2)) z) |
x |
(+ x (/ (pow y 2) z)) |
(+ x (/ (pow y 2) z)) |
(+ x (/ (pow y 2) z)) |
x |
(+ x (/ (pow y 2) z)) |
(+ x (/ (pow y 2) z)) |
(+ x (/ (pow y 2) z)) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
| Outputs |
|---|
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(+ x (/ (pow y 2) z)) |
(+.f64 (/.f64 (*.f64 y y) z) x) |
(+ x (/ (pow y 2) z)) |
(+.f64 (/.f64 (*.f64 y y) z) x) |
(+ x (/ (pow y 2) z)) |
(+.f64 (/.f64 (*.f64 y y) z) x) |
x |
(* x (+ 1 (/ (pow y 2) (* x z)))) |
(+.f64 (/.f64 (*.f64 y y) z) x) |
(* x (+ 1 (/ (pow y 2) (* x z)))) |
(+.f64 (/.f64 (*.f64 y y) z) x) |
(* x (+ 1 (/ (pow y 2) (* x z)))) |
(+.f64 (/.f64 (*.f64 y y) z) x) |
x |
(* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1))) |
(+.f64 (/.f64 (*.f64 y y) z) x) |
(* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1))) |
(+.f64 (/.f64 (*.f64 y y) z) x) |
(* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1))) |
(+.f64 (/.f64 (*.f64 y y) z) x) |
x |
(+ x (/ (pow y 2) z)) |
(+.f64 (/.f64 (*.f64 y y) z) x) |
(+ x (/ (pow y 2) z)) |
(+.f64 (/.f64 (*.f64 y y) z) x) |
(+ x (/ (pow y 2) z)) |
(+.f64 (/.f64 (*.f64 y y) z) x) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2)))) |
(+.f64 (/.f64 (*.f64 y y) z) x) |
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2)))) |
(+.f64 (/.f64 (*.f64 y y) z) x) |
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2)))) |
(+.f64 (/.f64 (*.f64 y y) z) x) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2)))) |
(+.f64 (/.f64 (*.f64 y y) z) x) |
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2)))) |
(+.f64 (/.f64 (*.f64 y y) z) x) |
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2)))) |
(+.f64 (/.f64 (*.f64 y y) z) x) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (+ (* x z) (pow y 2)) z) |
(/.f64 (+.f64 (*.f64 y y) (*.f64 z x)) z) |
(/ (+ (* x z) (pow y 2)) z) |
(/.f64 (+.f64 (*.f64 y y) (*.f64 z x)) z) |
(/ (+ (* x z) (pow y 2)) z) |
(/.f64 (+.f64 (*.f64 y y) (*.f64 z x)) z) |
x |
(+ x (/ (pow y 2) z)) |
(+.f64 (/.f64 (*.f64 y y) z) x) |
(+ x (/ (pow y 2) z)) |
(+.f64 (/.f64 (*.f64 y y) z) x) |
(+ x (/ (pow y 2) z)) |
(+.f64 (/.f64 (*.f64 y y) z) x) |
x |
(+ x (/ (pow y 2) z)) |
(+.f64 (/.f64 (*.f64 y y) z) x) |
(+ x (/ (pow y 2) z)) |
(+.f64 (/.f64 (*.f64 y y) z) x) |
(+ x (/ (pow y 2) z)) |
(+.f64 (/.f64 (*.f64 y y) z) x) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(+ x (/ (pow y 2) z)) |
(+.f64 (/.f64 (*.f64 y y) z) x) |
(+ x (/ (pow y 2) z)) |
(+.f64 (/.f64 (*.f64 y y) z) x) |
(+ x (/ (pow y 2) z)) |
(+.f64 (/.f64 (*.f64 y y) z) x) |
x |
(* x (+ 1 (/ (pow y 2) (* x z)))) |
(+.f64 (/.f64 (*.f64 y y) z) x) |
(* x (+ 1 (/ (pow y 2) (* x z)))) |
(+.f64 (/.f64 (*.f64 y y) z) x) |
(* x (+ 1 (/ (pow y 2) (* x z)))) |
(+.f64 (/.f64 (*.f64 y y) z) x) |
x |
(* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1))) |
(+.f64 (/.f64 (*.f64 y y) z) x) |
(* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1))) |
(+.f64 (/.f64 (*.f64 y y) z) x) |
(* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1))) |
(+.f64 (/.f64 (*.f64 y y) z) x) |
x |
(+ x (/ (pow y 2) z)) |
(+.f64 (/.f64 (*.f64 y y) z) x) |
(+ x (/ (pow y 2) z)) |
(+.f64 (/.f64 (*.f64 y y) z) x) |
(+ x (/ (pow y 2) z)) |
(+.f64 (/.f64 (*.f64 y y) z) x) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2)))) |
(+.f64 (/.f64 (*.f64 y y) z) x) |
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2)))) |
(+.f64 (/.f64 (*.f64 y y) z) x) |
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2)))) |
(+.f64 (/.f64 (*.f64 y y) z) x) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2)))) |
(+.f64 (/.f64 (*.f64 y y) z) x) |
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2)))) |
(+.f64 (/.f64 (*.f64 y y) z) x) |
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2)))) |
(+.f64 (/.f64 (*.f64 y y) z) x) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (+ (* x z) (pow y 2)) z) |
(/.f64 (+.f64 (*.f64 y y) (*.f64 z x)) z) |
(/ (+ (* x z) (pow y 2)) z) |
(/.f64 (+.f64 (*.f64 y y) (*.f64 z x)) z) |
(/ (+ (* x z) (pow y 2)) z) |
(/.f64 (+.f64 (*.f64 y y) (*.f64 z x)) z) |
x |
(+ x (/ (pow y 2) z)) |
(+.f64 (/.f64 (*.f64 y y) z) x) |
(+ x (/ (pow y 2) z)) |
(+.f64 (/.f64 (*.f64 y y) z) x) |
(+ x (/ (pow y 2) z)) |
(+.f64 (/.f64 (*.f64 y y) z) x) |
x |
(+ x (/ (pow y 2) z)) |
(+.f64 (/.f64 (*.f64 y y) z) x) |
(+ x (/ (pow y 2) z)) |
(+.f64 (/.f64 (*.f64 y y) z) x) |
(+ x (/ (pow y 2) z)) |
(+.f64 (/.f64 (*.f64 y y) z) x) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
Compiled 8088 to 402 computations (95% saved)
5 alts after pruning (4 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 391 | 4 | 395 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 1 | 2 |
| Done | 0 | 0 | 0 |
| Total | 392 | 5 | 397 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 46.7% | (/.f64 (*.f64 y y) z) |
| ▶ | 99.9% | (+.f64 (/.f64 y (/.f64 z y)) x) |
| ▶ | 99.9% | (+.f64 x (/.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) y))) |
| ✓ | 99.9% | (+.f64 x (*.f64 y (/.f64 y z))) |
| ▶ | 47.1% | x |
Compiled 44 to 28 computations (36.4% saved)
| 1× | egg-herbie |
Found 9 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 y y) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 y y) z) |
| ✓ | cost-diff | 0 | (/.f64 z y) |
| ✓ | cost-diff | 0 | (/.f64 y (/.f64 z y)) |
| ✓ | cost-diff | 0 | (+.f64 (/.f64 y (/.f64 z y)) x) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) y) |
| ✓ | cost-diff | 0 | (/.f64 y z) |
| ✓ | cost-diff | 128 | (/.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) y)) |
| ✓ | cost-diff | 128 | (+.f64 x (/.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) y))) |
| 22× | /-lowering-/.f32 |
| 22× | /-lowering-/.f64 |
| 22× | *-lowering-*.f32 |
| 22× | *-lowering-*.f64 |
| 12× | associate-/l/ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 54 |
| 1 | 25 | 44 |
| 2 | 34 | 44 |
| 3 | 50 | 44 |
| 4 | 58 | 44 |
| 0 | 58 | 44 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
x |
(+ x (/ (/ y z) (/ 1 y))) |
x |
(/ (/ y z) (/ 1 y)) |
(/ y z) |
y |
z |
(/ 1 y) |
1 |
(+ (/ y (/ z y)) x) |
(/ y (/ z y)) |
y |
(/ z y) |
z |
x |
(/ (* y y) z) |
(* y y) |
y |
z |
| Outputs |
|---|
x |
(+ x (/ (/ y z) (/ 1 y))) |
(+.f64 x (/.f64 y (/.f64 z y))) |
x |
(/ (/ y z) (/ 1 y)) |
(/.f64 y (/.f64 z y)) |
(/ y z) |
(/.f64 y z) |
y |
z |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
1 |
#s(literal 1 binary64) |
(+ (/ y (/ z y)) x) |
(+.f64 x (/.f64 y (/.f64 z y))) |
(/ y (/ z y)) |
(/.f64 y (/.f64 z y)) |
y |
(/ z y) |
(/.f64 z y) |
z |
x |
(/ (* y y) z) |
(/.f64 y (/.f64 z y)) |
(* y y) |
(*.f64 y y) |
y |
z |
Found 9 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 y y) |
| ✓ | accuracy | 84.3% | (/.f64 (*.f64 y y) z) |
| ✓ | accuracy | 100.0% | (/.f64 z y) |
| ✓ | accuracy | 100.0% | (+.f64 (/.f64 y (/.f64 z y)) x) |
| ✓ | accuracy | 99.9% | (/.f64 y (/.f64 z y)) |
| ✓ | accuracy | 100.0% | (/.f64 y z) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) y) |
| ✓ | accuracy | 100.0% | (+.f64 x (/.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) y))) |
| ✓ | accuracy | 99.8% | (/.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) y)) |
| 193.0ms | 256× | 0 | valid |
Compiled 59 to 14 computations (76.3% saved)
ival-div: 10.0ms (66.1% of total)ival-add: 2.0ms (13.2% of total)ival-mult: 2.0ms (13.2% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+ x (/ (/ y z) (/ 1 y)))> |
#<alt (/ (/ y z) (/ 1 y))> |
#<alt (/ y z)> |
#<alt (/ 1 y)> |
#<alt (+ (/ y (/ z y)) x)> |
#<alt (/ y (/ z y))> |
#<alt (/ z y)> |
#<alt (/ (* y y) z)> |
#<alt (* y y)> |
| Outputs |
|---|
#<alt (/ (pow y 2) z)> |
#<alt (+ x (/ (pow y 2) z))> |
#<alt (+ x (/ (pow y 2) z))> |
#<alt (+ x (/ (pow y 2) z))> |
#<alt x> |
#<alt (* x (+ 1 (/ (pow y 2) (* x z))))> |
#<alt (* x (+ 1 (/ (pow y 2) (* x z))))> |
#<alt (* x (+ 1 (/ (pow y 2) (* x z))))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1)))> |
#<alt x> |
#<alt (+ x (/ (pow y 2) z))> |
#<alt (+ x (/ (pow y 2) z))> |
#<alt (+ x (/ (pow y 2) z))> |
#<alt (/ (pow y 2) z)> |
#<alt (* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))> |
#<alt (* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))> |
#<alt (* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))> |
#<alt (/ (pow y 2) z)> |
#<alt (* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))> |
#<alt (* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))> |
#<alt (* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (+ (* x z) (pow y 2)) z)> |
#<alt (/ (+ (* x z) (pow y 2)) z)> |
#<alt (/ (+ (* x z) (pow y 2)) z)> |
#<alt x> |
#<alt (+ x (/ (pow y 2) z))> |
#<alt (+ x (/ (pow y 2) z))> |
#<alt (+ x (/ (pow y 2) z))> |
#<alt x> |
#<alt (+ x (/ (pow y 2) z))> |
#<alt (+ x (/ (pow y 2) z))> |
#<alt (+ x (/ (pow y 2) z))> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ y z)> |
#<alt (/ y z)> |
#<alt (/ y z)> |
#<alt (/ y z)> |
#<alt (/ y z)> |
#<alt (/ y z)> |
#<alt (/ y z)> |
#<alt (/ y z)> |
#<alt (/ y z)> |
#<alt (/ y z)> |
#<alt (/ y z)> |
#<alt (/ y z)> |
#<alt (/ y z)> |
#<alt (/ y z)> |
#<alt (/ y z)> |
#<alt (/ y z)> |
#<alt (/ y z)> |
#<alt (/ y z)> |
#<alt (/ y z)> |
#<alt (/ y z)> |
#<alt (/ y z)> |
#<alt (/ y z)> |
#<alt (/ y z)> |
#<alt (/ y z)> |
#<alt (/ 1 y)> |
#<alt (/ 1 y)> |
#<alt (/ 1 y)> |
#<alt (/ 1 y)> |
#<alt (/ 1 y)> |
#<alt (/ 1 y)> |
#<alt (/ 1 y)> |
#<alt (/ 1 y)> |
#<alt (/ 1 y)> |
#<alt (/ 1 y)> |
#<alt (/ 1 y)> |
#<alt (/ 1 y)> |
#<alt x> |
#<alt (+ x (/ (pow y 2) z))> |
#<alt (+ x (/ (pow y 2) z))> |
#<alt (+ x (/ (pow y 2) z))> |
#<alt (/ (pow y 2) z)> |
#<alt (* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))> |
#<alt (* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))> |
#<alt (* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))> |
#<alt (/ (pow y 2) z)> |
#<alt (* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))> |
#<alt (* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))> |
#<alt (* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (+ (* x z) (pow y 2)) z)> |
#<alt (/ (+ (* x z) (pow y 2)) z)> |
#<alt (/ (+ (* x z) (pow y 2)) z)> |
#<alt x> |
#<alt (+ x (/ (pow y 2) z))> |
#<alt (+ x (/ (pow y 2) z))> |
#<alt (+ x (/ (pow y 2) z))> |
#<alt x> |
#<alt (+ x (/ (pow y 2) z))> |
#<alt (+ x (/ (pow y 2) z))> |
#<alt (+ x (/ (pow y 2) z))> |
#<alt (/ (pow y 2) z)> |
#<alt (+ x (/ (pow y 2) z))> |
#<alt (+ x (/ (pow y 2) z))> |
#<alt (+ x (/ (pow y 2) z))> |
#<alt x> |
#<alt (* x (+ 1 (/ (pow y 2) (* x z))))> |
#<alt (* x (+ 1 (/ (pow y 2) (* x z))))> |
#<alt (* x (+ 1 (/ (pow y 2) (* x z))))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1)))> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ z y)> |
#<alt (/ z y)> |
#<alt (/ z y)> |
#<alt (/ z y)> |
#<alt (/ z y)> |
#<alt (/ z y)> |
#<alt (/ z y)> |
#<alt (/ z y)> |
#<alt (/ z y)> |
#<alt (/ z y)> |
#<alt (/ z y)> |
#<alt (/ z y)> |
#<alt (/ z y)> |
#<alt (/ z y)> |
#<alt (/ z y)> |
#<alt (/ z y)> |
#<alt (/ z y)> |
#<alt (/ z y)> |
#<alt (/ z y)> |
#<alt (/ z y)> |
#<alt (/ z y)> |
#<alt (/ z y)> |
#<alt (/ z y)> |
#<alt (/ z y)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
54 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | z | @ | 0 | (/ z y) |
| 0.0ms | z | @ | -inf | (/ z y) |
| 0.0ms | y | @ | 0 | (/ z y) |
| 0.0ms | y | @ | -inf | (/ z y) |
| 0.0ms | z | @ | inf | (/ z y) |
| 1× | batch-egg-rewrite |
| 4074× | *-lowering-*.f32 |
| 4074× | *-lowering-*.f64 |
| 3934× | /-lowering-/.f32 |
| 3934× | /-lowering-/.f64 |
| 1680× | +-lowering-+.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 44 |
| 1 | 82 | 34 |
| 2 | 851 | 34 |
| 0 | 8513 | 34 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ x (/ (/ y z) (/ 1 y))) |
(/ (/ y z) (/ 1 y)) |
(/ y z) |
(/ 1 y) |
(+ (/ y (/ z y)) x) |
(/ y (/ z y)) |
(/ z y) |
(/ (* y y) z) |
(* y y) |
| Outputs |
|---|
(+.f64 x (/.f64 y (/.f64 z y))) |
(+.f64 (/.f64 y (/.f64 z y)) x) |
(+.f64 (/.f64 (/.f64 (/.f64 y (/.f64 z y)) (/.f64 z (*.f64 y y))) (-.f64 (/.f64 y (/.f64 z y)) x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (/.f64 y (/.f64 z y)) x)))) |
(+.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 y (/.f64 z y)))) (neg.f64 (/.f64 (/.f64 (/.f64 y (/.f64 z y)) (/.f64 z (*.f64 y y))) (-.f64 x (/.f64 y (/.f64 z y)))))) |
(-.f64 x (-.f64 #s(literal 0 binary64) (/.f64 y (/.f64 z y)))) |
(-.f64 (/.f64 (/.f64 (/.f64 y (/.f64 z y)) (/.f64 z (*.f64 y y))) (-.f64 (/.f64 y (/.f64 z y)) x)) (/.f64 (*.f64 x x) (-.f64 (/.f64 y (/.f64 z y)) x))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 y (/.f64 z y)))) (/.f64 (/.f64 (/.f64 y (/.f64 z y)) (/.f64 z (*.f64 y y))) (-.f64 x (/.f64 y (/.f64 z y))))) |
(fma.f64 y (/.f64 y z) x) |
(fma.f64 (/.f64 y z) y x) |
(fma.f64 #s(literal 1 binary64) (/.f64 y (/.f64 z y)) x) |
(fma.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) z) x) |
(fma.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (/.f64 y z)) x) |
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal -1 binary64) z) x) |
(fma.f64 (-.f64 #s(literal 0 binary64) (/.f64 y z)) (-.f64 #s(literal 0 binary64) y) x) |
(fma.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y y) x) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 y (/.f64 z y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 y (/.f64 z y)))) #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 y (/.f64 z y)))))) |
(/.f64 (+.f64 (/.f64 (/.f64 (/.f64 y (/.f64 z y)) (/.f64 z (*.f64 y y))) (/.f64 z (*.f64 y y))) (*.f64 x (*.f64 x x))) (+.f64 (*.f64 x (-.f64 x (/.f64 y (/.f64 z y)))) (/.f64 (/.f64 y (/.f64 z y)) (/.f64 z (*.f64 y y))))) |
(/.f64 (+.f64 (/.f64 (/.f64 (/.f64 y (/.f64 z y)) (/.f64 z (*.f64 y y))) (/.f64 z (*.f64 y y))) (*.f64 x (*.f64 x x))) (+.f64 (*.f64 x x) (/.f64 (-.f64 (/.f64 y (/.f64 z y)) x) (/.f64 z (*.f64 y y))))) |
(/.f64 (-.f64 (/.f64 (/.f64 y (/.f64 z y)) (/.f64 z (*.f64 y y))) (*.f64 x x)) (-.f64 (/.f64 y (/.f64 z y)) x)) |
(/.f64 (-.f64 (*.f64 x x) (/.f64 (/.f64 y (/.f64 z y)) (/.f64 z (*.f64 y y)))) (-.f64 x (/.f64 y (/.f64 z y)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (/.f64 (/.f64 y (/.f64 z y)) (/.f64 z (*.f64 y y))) (/.f64 z (*.f64 y y))) (*.f64 x (*.f64 x x)))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (-.f64 x (/.f64 y (/.f64 z y)))) (/.f64 (/.f64 y (/.f64 z y)) (/.f64 z (*.f64 y y)))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (/.f64 (/.f64 y (/.f64 z y)) (/.f64 z (*.f64 y y))) (/.f64 z (*.f64 y y))) (*.f64 x (*.f64 x x)))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (/.f64 (-.f64 (/.f64 y (/.f64 z y)) x) (/.f64 z (*.f64 y y)))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (/.f64 (/.f64 y (/.f64 z y)) (/.f64 z (*.f64 y y))) (*.f64 x x))) (-.f64 #s(literal 0 binary64) (-.f64 (/.f64 y (/.f64 z y)) x))) |
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) (/.f64 (/.f64 y (/.f64 z y)) (/.f64 z (*.f64 y y))))) (-.f64 #s(literal 0 binary64) (-.f64 x (/.f64 y (/.f64 z y))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (/.f64 y (/.f64 z y)) (/.f64 z (*.f64 y y))) (-.f64 (/.f64 y (/.f64 z y)) x)) (*.f64 (-.f64 (/.f64 y (/.f64 z y)) x) (*.f64 x x))) (*.f64 (-.f64 (/.f64 y (/.f64 z y)) x) (-.f64 (/.f64 y (/.f64 z y)) x))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x (/.f64 y (/.f64 z y)))) (*.f64 (-.f64 x (/.f64 y (/.f64 z y))) (/.f64 (/.f64 y (/.f64 z y)) (/.f64 z (*.f64 y y))))) (*.f64 (-.f64 x (/.f64 y (/.f64 z y))) (-.f64 x (/.f64 y (/.f64 z y))))) |
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(/.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (/.f64 z y))) |
(/.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 0 binary64) z))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (-.f64 #s(literal 0 binary64) z)) |
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 y z)) (/.f64 #s(literal -1 binary64) y)) |
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 y (/.f64 z y))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 z (*.f64 y y)) #s(literal -1 binary64)) |
(*.f64 y (/.f64 y z)) |
(*.f64 y (/.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) y))) |
(*.f64 (/.f64 y z) y) |
(*.f64 #s(literal 1 binary64) (/.f64 y (/.f64 z y))) |
(*.f64 (/.f64 y (/.f64 z y)) #s(literal 1 binary64)) |
(*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 y (/.f64 z y)))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 z (*.f64 y y))))) |
(*.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (/.f64 y z))) |
(*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 0 binary64) z)))) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1 binary64))) |
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 y z)) (-.f64 #s(literal 0 binary64) y)) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y y)) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (-.f64 #s(literal 0 binary64) (*.f64 y y))) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 y (/.f64 #s(literal -1 binary64) y))) |
(*.f64 (pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) y) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (/.f64 y #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 y z))) |
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal -1 binary64) y))) |
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (/.f64 y z) (pow.f64 y #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 y (pow.f64 y #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 y (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 y #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 y (/.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal -1 binary64) y))) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) y) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) z) (pow.f64 y #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal 1 binary64) y)) (/.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1 binary64))) |
(*.f64 (/.f64 (/.f64 y z) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (/.f64 y (/.f64 #s(literal -1 binary64) y))) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 y y))) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)) (*.f64 y y)) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) z) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (-.f64 #s(literal 0 binary64) y) (pow.f64 y #s(literal -1/2 binary64)))) |
(*.f64 (pow.f64 (/.f64 z (*.f64 y y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 z (*.f64 y y)) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) |
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 y y))) |
(neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y))) |
(/.f64 y (/.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) y)) |
(/.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 #s(literal -1 binary64) y)) |
(pow.f64 y #s(literal 2 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -2 binary64)) |
(pow.f64 (*.f64 y y) #s(literal 1 binary64)) |
(pow.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 2 binary64)) |
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) #s(literal -1 binary64)) |
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64)) |
(*.f64 y y) |
(*.f64 #s(literal 1 binary64) (*.f64 y y)) |
(*.f64 (*.f64 y y) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 y y))) |
(*.f64 #s(literal -1 binary64) (/.f64 y (/.f64 #s(literal -1 binary64) y))) |
(*.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) y)) |
(*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1 binary64))) |
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y))) |
(*.f64 (/.f64 y #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) y)) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 y (pow.f64 y #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 y (pow.f64 y #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (-.f64 #s(literal 0 binary64) y) (pow.f64 y #s(literal -1/2 binary64)))) |
| 1× | egg-herbie |
| 2162× | fnmadd-define |
| 1784× | *-lowering-*.f32 |
| 1784× | *-lowering-*.f64 |
| 1756× | fnmsub-define |
| 1504× | fmm-def |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 998 |
| 1 | 66 | 852 |
| 2 | 168 | 852 |
| 3 | 539 | 852 |
| 4 | 2546 | 852 |
| 5 | 6450 | 852 |
| 0 | 8183 | 852 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (pow y 2) z) |
(+ x (/ (pow y 2) z)) |
(+ x (/ (pow y 2) z)) |
(+ x (/ (pow y 2) z)) |
x |
(* x (+ 1 (/ (pow y 2) (* x z)))) |
(* x (+ 1 (/ (pow y 2) (* x z)))) |
(* x (+ 1 (/ (pow y 2) (* x z)))) |
x |
(* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1))) |
(* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1))) |
(* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1))) |
x |
(+ x (/ (pow y 2) z)) |
(+ x (/ (pow y 2) z)) |
(+ x (/ (pow y 2) z)) |
(/ (pow y 2) z) |
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2)))) |
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2)))) |
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2)))) |
(/ (pow y 2) z) |
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2)))) |
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2)))) |
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2)))) |
(/ (pow y 2) z) |
(/ (+ (* x z) (pow y 2)) z) |
(/ (+ (* x z) (pow y 2)) z) |
(/ (+ (* x z) (pow y 2)) z) |
x |
(+ x (/ (pow y 2) z)) |
(+ x (/ (pow y 2) z)) |
(+ x (/ (pow y 2) z)) |
x |
(+ x (/ (pow y 2) z)) |
(+ x (/ (pow y 2) z)) |
(+ x (/ (pow y 2) z)) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
x |
(+ x (/ (pow y 2) z)) |
(+ x (/ (pow y 2) z)) |
(+ x (/ (pow y 2) z)) |
(/ (pow y 2) z) |
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2)))) |
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2)))) |
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2)))) |
(/ (pow y 2) z) |
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2)))) |
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2)))) |
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2)))) |
(/ (pow y 2) z) |
(/ (+ (* x z) (pow y 2)) z) |
(/ (+ (* x z) (pow y 2)) z) |
(/ (+ (* x z) (pow y 2)) z) |
x |
(+ x (/ (pow y 2) z)) |
(+ x (/ (pow y 2) z)) |
(+ x (/ (pow y 2) z)) |
x |
(+ x (/ (pow y 2) z)) |
(+ x (/ (pow y 2) z)) |
(+ x (/ (pow y 2) z)) |
(/ (pow y 2) z) |
(+ x (/ (pow y 2) z)) |
(+ x (/ (pow y 2) z)) |
(+ x (/ (pow y 2) z)) |
x |
(* x (+ 1 (/ (pow y 2) (* x z)))) |
(* x (+ 1 (/ (pow y 2) (* x z)))) |
(* x (+ 1 (/ (pow y 2) (* x z)))) |
x |
(* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1))) |
(* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1))) |
(* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1))) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
| Outputs |
|---|
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(+ x (/ (pow y 2) z)) |
(+.f64 (/.f64 (*.f64 y y) z) x) |
(+ x (/ (pow y 2) z)) |
(+.f64 (/.f64 (*.f64 y y) z) x) |
(+ x (/ (pow y 2) z)) |
(+.f64 (/.f64 (*.f64 y y) z) x) |
x |
(* x (+ 1 (/ (pow y 2) (* x z)))) |
(+.f64 (/.f64 (*.f64 y y) z) x) |
(* x (+ 1 (/ (pow y 2) (* x z)))) |
(+.f64 (/.f64 (*.f64 y y) z) x) |
(* x (+ 1 (/ (pow y 2) (* x z)))) |
(+.f64 (/.f64 (*.f64 y y) z) x) |
x |
(* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1))) |
(+.f64 (/.f64 (*.f64 y y) z) x) |
(* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1))) |
(+.f64 (/.f64 (*.f64 y y) z) x) |
(* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1))) |
(+.f64 (/.f64 (*.f64 y y) z) x) |
x |
(+ x (/ (pow y 2) z)) |
(+.f64 (/.f64 (*.f64 y y) z) x) |
(+ x (/ (pow y 2) z)) |
(+.f64 (/.f64 (*.f64 y y) z) x) |
(+ x (/ (pow y 2) z)) |
(+.f64 (/.f64 (*.f64 y y) z) x) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2)))) |
(+.f64 (/.f64 (*.f64 y y) z) x) |
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2)))) |
(+.f64 (/.f64 (*.f64 y y) z) x) |
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2)))) |
(+.f64 (/.f64 (*.f64 y y) z) x) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2)))) |
(+.f64 (/.f64 (*.f64 y y) z) x) |
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2)))) |
(+.f64 (/.f64 (*.f64 y y) z) x) |
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2)))) |
(+.f64 (/.f64 (*.f64 y y) z) x) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (+ (* x z) (pow y 2)) z) |
(/.f64 (+.f64 (*.f64 y y) (*.f64 z x)) z) |
(/ (+ (* x z) (pow y 2)) z) |
(/.f64 (+.f64 (*.f64 y y) (*.f64 z x)) z) |
(/ (+ (* x z) (pow y 2)) z) |
(/.f64 (+.f64 (*.f64 y y) (*.f64 z x)) z) |
x |
(+ x (/ (pow y 2) z)) |
(+.f64 (/.f64 (*.f64 y y) z) x) |
(+ x (/ (pow y 2) z)) |
(+.f64 (/.f64 (*.f64 y y) z) x) |
(+ x (/ (pow y 2) z)) |
(+.f64 (/.f64 (*.f64 y y) z) x) |
x |
(+ x (/ (pow y 2) z)) |
(+.f64 (/.f64 (*.f64 y y) z) x) |
(+ x (/ (pow y 2) z)) |
(+.f64 (/.f64 (*.f64 y y) z) x) |
(+ x (/ (pow y 2) z)) |
(+.f64 (/.f64 (*.f64 y y) z) x) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
x |
(+ x (/ (pow y 2) z)) |
(+.f64 (/.f64 (*.f64 y y) z) x) |
(+ x (/ (pow y 2) z)) |
(+.f64 (/.f64 (*.f64 y y) z) x) |
(+ x (/ (pow y 2) z)) |
(+.f64 (/.f64 (*.f64 y y) z) x) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2)))) |
(+.f64 (/.f64 (*.f64 y y) z) x) |
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2)))) |
(+.f64 (/.f64 (*.f64 y y) z) x) |
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2)))) |
(+.f64 (/.f64 (*.f64 y y) z) x) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2)))) |
(+.f64 (/.f64 (*.f64 y y) z) x) |
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2)))) |
(+.f64 (/.f64 (*.f64 y y) z) x) |
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2)))) |
(+.f64 (/.f64 (*.f64 y y) z) x) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (+ (* x z) (pow y 2)) z) |
(/.f64 (+.f64 (*.f64 y y) (*.f64 z x)) z) |
(/ (+ (* x z) (pow y 2)) z) |
(/.f64 (+.f64 (*.f64 y y) (*.f64 z x)) z) |
(/ (+ (* x z) (pow y 2)) z) |
(/.f64 (+.f64 (*.f64 y y) (*.f64 z x)) z) |
x |
(+ x (/ (pow y 2) z)) |
(+.f64 (/.f64 (*.f64 y y) z) x) |
(+ x (/ (pow y 2) z)) |
(+.f64 (/.f64 (*.f64 y y) z) x) |
(+ x (/ (pow y 2) z)) |
(+.f64 (/.f64 (*.f64 y y) z) x) |
x |
(+ x (/ (pow y 2) z)) |
(+.f64 (/.f64 (*.f64 y y) z) x) |
(+ x (/ (pow y 2) z)) |
(+.f64 (/.f64 (*.f64 y y) z) x) |
(+ x (/ (pow y 2) z)) |
(+.f64 (/.f64 (*.f64 y y) z) x) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(+ x (/ (pow y 2) z)) |
(+.f64 (/.f64 (*.f64 y y) z) x) |
(+ x (/ (pow y 2) z)) |
(+.f64 (/.f64 (*.f64 y y) z) x) |
(+ x (/ (pow y 2) z)) |
(+.f64 (/.f64 (*.f64 y y) z) x) |
x |
(* x (+ 1 (/ (pow y 2) (* x z)))) |
(+.f64 (/.f64 (*.f64 y y) z) x) |
(* x (+ 1 (/ (pow y 2) (* x z)))) |
(+.f64 (/.f64 (*.f64 y y) z) x) |
(* x (+ 1 (/ (pow y 2) (* x z)))) |
(+.f64 (/.f64 (*.f64 y y) z) x) |
x |
(* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1))) |
(+.f64 (/.f64 (*.f64 y y) z) x) |
(* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1))) |
(+.f64 (/.f64 (*.f64 y y) z) x) |
(* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1))) |
(+.f64 (/.f64 (*.f64 y y) z) x) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
Compiled 7551 to 627 computations (91.7% saved)
7 alts after pruning (4 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 570 | 4 | 574 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 2 | 4 |
| Done | 0 | 1 | 1 |
| Total | 572 | 7 | 579 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 55.3% | (/.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) y)) |
| ✓ | 46.7% | (/.f64 (*.f64 y y) z) |
| ▶ | 55.4% | (/.f64 y (/.f64 z y)) |
| ▶ | 99.8% | (+.f64 x (/.f64 (/.f64 y z) (pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64)))) |
| ✓ | 99.9% | (+.f64 x (*.f64 y (/.f64 y z))) |
| ▶ | 55.4% | (*.f64 (/.f64 y z) y) |
| ✓ | 47.1% | x |
Compiled 62 to 41 computations (33.9% saved)
| 1× | egg-herbie |
Found 11 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) y) |
| ✓ | cost-diff | 0 | (/.f64 y z) |
| ✓ | cost-diff | 128 | (/.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) y)) |
| ✓ | cost-diff | 0 | (/.f64 z y) |
| ✓ | cost-diff | 0 | (/.f64 y (/.f64 z y)) |
| ✓ | cost-diff | 0 | (/.f64 y z) |
| ✓ | cost-diff | 12800 | (pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
| ✓ | cost-diff | 12928 | (/.f64 (/.f64 y z) (pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
| ✓ | cost-diff | 12928 | (+.f64 x (/.f64 (/.f64 y z) (pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64)))) |
| ✓ | cost-diff | 0 | (/.f64 y z) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 y z) y) |
| 40× | /-lowering-/.f32 |
| 40× | /-lowering-/.f64 |
| 40× | *-lowering-*.f32 |
| 40× | *-lowering-*.f64 |
| 20× | associate-/l/ |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 68 |
| 1 | 30 | 58 |
| 2 | 49 | 53 |
| 3 | 74 | 53 |
| 4 | 94 | 53 |
| 5 | 95 | 53 |
| 0 | 95 | 53 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(* (/ y z) y) |
(/ y z) |
y |
z |
(+ x (/ (/ y z) (pow (pow y -1/2) 2))) |
x |
(/ (/ y z) (pow (pow y -1/2) 2)) |
(/ y z) |
y |
z |
(pow (pow y -1/2) 2) |
(pow y -1/2) |
-1/2 |
2 |
(/ y (/ z y)) |
y |
(/ z y) |
z |
(/ (/ y z) (/ 1 y)) |
(/ y z) |
y |
z |
(/ 1 y) |
1 |
| Outputs |
|---|
(* (/ y z) y) |
(/.f64 (*.f64 y y) z) |
(/ y z) |
(/.f64 y z) |
y |
z |
(+ x (/ (/ y z) (pow (pow y -1/2) 2))) |
(+.f64 x (/.f64 (*.f64 y y) z)) |
x |
(/ (/ y z) (pow (pow y -1/2) 2)) |
(/.f64 (*.f64 y y) z) |
(/ y z) |
(/.f64 y z) |
y |
z |
(pow (pow y -1/2) 2) |
(/.f64 #s(literal 1 binary64) y) |
(pow y -1/2) |
(pow.f64 y #s(literal -1/2 binary64)) |
-1/2 |
#s(literal -1/2 binary64) |
2 |
#s(literal 2 binary64) |
(/ y (/ z y)) |
(/.f64 (*.f64 y y) z) |
y |
(/ z y) |
(/.f64 z y) |
z |
(/ (/ y z) (/ 1 y)) |
(/.f64 (*.f64 y y) z) |
(/ y z) |
(/.f64 y z) |
y |
z |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
1 |
#s(literal 1 binary64) |
Found 11 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (/.f64 y z) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) y) |
| ✓ | accuracy | 99.8% | (/.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) y)) |
| ✓ | accuracy | 100.0% | (/.f64 z y) |
| ✓ | accuracy | 99.9% | (/.f64 y (/.f64 z y)) |
| ✓ | accuracy | 100.0% | (/.f64 y z) |
| ✓ | accuracy | 100.0% | (+.f64 x (/.f64 (/.f64 y z) (pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64)))) |
| ✓ | accuracy | 99.8% | (/.f64 (/.f64 y z) (pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
| ✓ | accuracy | 99.2% | (pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
| ✓ | accuracy | 100.0% | (/.f64 y z) |
| ✓ | accuracy | 99.8% | (*.f64 (/.f64 y z) y) |
| 76.0ms | 256× | 0 | valid |
Compiled 76 to 17 computations (77.6% saved)
ival-pow: 16.0ms (47.8% of total)ival-div: 13.0ms (38.8% of total)ival-mult: 2.0ms (6% of total)ival-add: 1.0ms (3% of total)const: 1.0ms (3% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* (/ y z) y)> |
#<alt (/ y z)> |
#<alt (+ x (/ (/ y z) (pow (pow y -1/2) 2)))> |
#<alt (/ (/ y z) (pow (pow y -1/2) 2))> |
#<alt (pow (pow y -1/2) 2)> |
#<alt (/ y (/ z y))> |
#<alt (/ z y)> |
#<alt (/ (/ y z) (/ 1 y))> |
#<alt (/ 1 y)> |
| Outputs |
|---|
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ y z)> |
#<alt (/ y z)> |
#<alt (/ y z)> |
#<alt (/ y z)> |
#<alt (/ y z)> |
#<alt (/ y z)> |
#<alt (/ y z)> |
#<alt (/ y z)> |
#<alt (/ y z)> |
#<alt (/ y z)> |
#<alt (/ y z)> |
#<alt (/ y z)> |
#<alt (/ y z)> |
#<alt (/ y z)> |
#<alt (/ y z)> |
#<alt (/ y z)> |
#<alt (/ y z)> |
#<alt (/ y z)> |
#<alt (/ y z)> |
#<alt (/ y z)> |
#<alt (/ y z)> |
#<alt (/ y z)> |
#<alt (/ y z)> |
#<alt (/ y z)> |
#<alt (/ (pow y 2) z)> |
#<alt (+ x (/ (pow y 2) z))> |
#<alt (+ x (/ (pow y 2) z))> |
#<alt (+ x (/ (pow y 2) z))> |
#<alt x> |
#<alt (* x (+ 1 (/ (pow y 2) (* x z))))> |
#<alt (* x (+ 1 (/ (pow y 2) (* x z))))> |
#<alt (* x (+ 1 (/ (pow y 2) (* x z))))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1)))> |
#<alt x> |
#<alt (+ x (/ (pow y 2) z))> |
#<alt (+ x (/ (pow y 2) z))> |
#<alt (+ x (/ (pow y 2) z))> |
#<alt (/ (pow y 2) z)> |
#<alt (* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))> |
#<alt (* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))> |
#<alt (* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))> |
#<alt (* -1 (/ (pow y 2) (* z (pow (sqrt -1) 2))))> |
#<alt (* (pow y 2) (- (/ x (pow y 2)) (/ 1 (* z (pow (sqrt -1) 2)))))> |
#<alt (* (pow y 2) (- (/ x (pow y 2)) (/ 1 (* z (pow (sqrt -1) 2)))))> |
#<alt (* (pow y 2) (- (/ x (pow y 2)) (/ 1 (* z (pow (sqrt -1) 2)))))> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (+ (* x z) (pow y 2)) z)> |
#<alt (/ (+ (* x z) (pow y 2)) z)> |
#<alt (/ (+ (* x z) (pow y 2)) z)> |
#<alt x> |
#<alt (+ x (/ (pow y 2) z))> |
#<alt (+ x (/ (pow y 2) z))> |
#<alt (+ x (/ (pow y 2) z))> |
#<alt x> |
#<alt (+ x (/ (pow y 2) z))> |
#<alt (+ x (/ (pow y 2) z))> |
#<alt (+ x (/ (pow y 2) z))> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (* -1 (/ (pow y 2) (* z (pow (sqrt -1) 2))))> |
#<alt (* -1 (/ (pow y 2) (* z (pow (sqrt -1) 2))))> |
#<alt (* -1 (/ (pow y 2) (* z (pow (sqrt -1) 2))))> |
#<alt (* -1 (/ (pow y 2) (* z (pow (sqrt -1) 2))))> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ 1 y)> |
#<alt (/ 1 y)> |
#<alt (/ 1 y)> |
#<alt (/ 1 y)> |
#<alt (/ 1 y)> |
#<alt (/ 1 y)> |
#<alt (/ 1 y)> |
#<alt (/ 1 y)> |
#<alt (* -1 (/ (pow (sqrt -1) 2) y))> |
#<alt (* -1 (/ (pow (sqrt -1) 2) y))> |
#<alt (* -1 (/ (pow (sqrt -1) 2) y))> |
#<alt (* -1 (/ (pow (sqrt -1) 2) y))> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ z y)> |
#<alt (/ z y)> |
#<alt (/ z y)> |
#<alt (/ z y)> |
#<alt (/ z y)> |
#<alt (/ z y)> |
#<alt (/ z y)> |
#<alt (/ z y)> |
#<alt (/ z y)> |
#<alt (/ z y)> |
#<alt (/ z y)> |
#<alt (/ z y)> |
#<alt (/ z y)> |
#<alt (/ z y)> |
#<alt (/ z y)> |
#<alt (/ z y)> |
#<alt (/ z y)> |
#<alt (/ z y)> |
#<alt (/ z y)> |
#<alt (/ z y)> |
#<alt (/ z y)> |
#<alt (/ z y)> |
#<alt (/ z y)> |
#<alt (/ z y)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ 1 y)> |
#<alt (/ 1 y)> |
#<alt (/ 1 y)> |
#<alt (/ 1 y)> |
#<alt (/ 1 y)> |
#<alt (/ 1 y)> |
#<alt (/ 1 y)> |
#<alt (/ 1 y)> |
#<alt (/ 1 y)> |
#<alt (/ 1 y)> |
#<alt (/ 1 y)> |
#<alt (/ 1 y)> |
51 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | -inf | (+ x (/ (/ y z) (pow (pow y -1/2) 2))) |
| 1.0ms | y | @ | -inf | (/ (/ y z) (pow (pow y -1/2) 2)) |
| 0.0ms | y | @ | -inf | (pow (pow y -1/2) 2) |
| 0.0ms | y | @ | 0 | (* (/ y z) y) |
| 0.0ms | x | @ | 0 | (+ x (/ (/ y z) (pow (pow y -1/2) 2))) |
| 1× | batch-egg-rewrite |
| 3618× | *-lowering-*.f32 |
| 3618× | *-lowering-*.f64 |
| 2580× | /-lowering-/.f32 |
| 2580× | /-lowering-/.f64 |
| 1860× | fnmadd-define |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 38 |
| 1 | 82 | 32 |
| 2 | 589 | 32 |
| 3 | 6402 | 32 |
| 0 | 8618 | 32 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (/ y z) y) |
(/ y z) |
(+ x (/ (/ y z) (pow (pow y -1/2) 2))) |
(/ (/ y z) (pow (pow y -1/2) 2)) |
(pow (pow y -1/2) 2) |
(/ y (/ z y)) |
(/ z y) |
(/ (/ y z) (/ 1 y)) |
(/ 1 y) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 z (*.f64 y y))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 y (/.f64 (-.f64 #s(literal 0 binary64) y) z))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 z (-.f64 #s(literal 0 binary64) y))) (*.f64 y (/.f64 (-.f64 #s(literal 0 binary64) y) z))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) y)) (*.f64 y (/.f64 (-.f64 #s(literal 0 binary64) y) z))) |
(neg.f64 (*.f64 y (/.f64 (-.f64 #s(literal 0 binary64) y) z))) |
(/.f64 y (/.f64 z y)) |
(/.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 (/.f64 (*.f64 y y) z) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 y y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 y #s(literal -3/2 binary64))))) |
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 z (*.f64 y y)))) |
(/.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 z (-.f64 #s(literal 0 binary64) y))) |
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) y) z) (/.f64 #s(literal -1 binary64) y)) |
(/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 #s(literal 1 binary64) y) y)) |
(/.f64 (*.f64 y y) z) |
(/.f64 (pow.f64 y #s(literal 3/2 binary64)) (*.f64 z (pow.f64 y #s(literal -1/2 binary64)))) |
(/.f64 (*.f64 y (/.f64 (-.f64 #s(literal 0 binary64) y) z)) #s(literal -1 binary64)) |
(/.f64 (pow.f64 y #s(literal 1/2 binary64)) (*.f64 (pow.f64 y #s(literal -3/2 binary64)) z)) |
(/.f64 (pow.f64 y #s(literal 1/2 binary64)) (*.f64 (/.f64 z y) (pow.f64 y #s(literal -1/2 binary64)))) |
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 y #s(literal -3/2 binary64))) (pow.f64 y #s(literal -1/2 binary64))) |
(/.f64 (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 y #s(literal -3/2 binary64)))) (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1/2 binary64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (-.f64 #s(literal 0 binary64) z)) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y y))) (-.f64 #s(literal 0 binary64) z)) |
(/.f64 (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) y) z) (pow.f64 y #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1/2 binary64)))) |
(/.f64 (/.f64 (/.f64 y z) (pow.f64 y #s(literal -3/4 binary64))) (pow.f64 y #s(literal -1/4 binary64))) |
(/.f64 (/.f64 (/.f64 y z) (pow.f64 y #s(literal -1/4 binary64))) (pow.f64 y #s(literal -3/4 binary64))) |
(/.f64 (*.f64 (*.f64 y y) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) z)) |
(/.f64 (*.f64 (pow.f64 y #s(literal 3/2 binary64)) (/.f64 #s(literal 1 binary64) z)) (pow.f64 y #s(literal -1/2 binary64))) |
(/.f64 (*.f64 (pow.f64 y #s(literal 1/2 binary64)) (/.f64 y z)) (pow.f64 y #s(literal -1/2 binary64))) |
(/.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 y #s(literal -3/2 binary64))) #s(literal 1 binary64)) (pow.f64 y #s(literal -1/2 binary64))) |
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 y #s(literal -3/2 binary64))) (pow.f64 y #s(literal -1/4 binary64))) (pow.f64 y #s(literal -1/4 binary64))) |
(pow.f64 (/.f64 z (*.f64 y y)) #s(literal -1 binary64)) |
(*.f64 y (/.f64 y z)) |
(*.f64 (/.f64 y z) y) |
(*.f64 (/.f64 (*.f64 y y) z) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) z)) |
(*.f64 #s(literal -1 binary64) (*.f64 y (/.f64 (-.f64 #s(literal 0 binary64) y) z))) |
(*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 (-.f64 #s(literal 0 binary64) y) z)) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) y) z) (-.f64 #s(literal 0 binary64) y)) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y y)) |
(*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 z (pow.f64 y #s(literal -1/2 binary64))))) |
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (pow.f64 y #s(literal -1/2 binary64)))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (pow.f64 y #s(literal -1/2 binary64)))) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (pow.f64 y #s(literal -1/2 binary64)))) (pow.f64 y #s(literal 3/2 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (-.f64 #s(literal 0 binary64) (*.f64 y y))) |
(*.f64 (pow.f64 y #s(literal 1/2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 y #s(literal -3/2 binary64)))) |
(*.f64 (pow.f64 y #s(literal 1/2 binary64)) (pow.f64 (*.f64 (pow.f64 y #s(literal -3/2 binary64)) z) #s(literal -1 binary64))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 y #s(literal -3/2 binary64))) (pow.f64 y #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (pow.f64 y #s(literal -3/2 binary64)) #s(literal -1 binary64)) (pow.f64 (*.f64 z (pow.f64 y #s(literal -1/2 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) y) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1/2 binary64))))) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) y) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) z) (pow.f64 y #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (/.f64 y z) (pow.f64 y #s(literal -3/4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1/4 binary64)))) |
(*.f64 (/.f64 (/.f64 y z) (pow.f64 y #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -3/4 binary64)))) |
(*.f64 (/.f64 y (pow.f64 y #s(literal -1/4 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 y #s(literal -3/4 binary64)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 y #s(literal -1/4 binary64))) (/.f64 y (pow.f64 y #s(literal -3/4 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1/4 binary64))) (/.f64 (/.f64 y z) (pow.f64 y #s(literal -3/4 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) y) (pow.f64 y #s(literal -1/4 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) z) (pow.f64 y #s(literal -3/4 binary64)))) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) z) (pow.f64 y #s(literal -1/4 binary64))) (/.f64 (-.f64 #s(literal 0 binary64) y) (pow.f64 y #s(literal -3/4 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -3/4 binary64))) (/.f64 (/.f64 y z) (pow.f64 y #s(literal -1/4 binary64)))) |
(*.f64 (/.f64 y (pow.f64 y #s(literal -3/4 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 y #s(literal -1/4 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (/.f64 y z) (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1/2 binary64))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 z (pow.f64 y #s(literal -1/2 binary64))))) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) y) (pow.f64 y #s(literal -3/4 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) z) (pow.f64 y #s(literal -1/4 binary64)))) |
(*.f64 (/.f64 y (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1/2 binary64)))) (/.f64 (/.f64 #s(literal -1 binary64) z) (pow.f64 y #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) z) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (-.f64 #s(literal 0 binary64) y) (pow.f64 y #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 y y))) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 y y))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 y #s(literal -3/4 binary64))) (/.f64 y (pow.f64 y #s(literal -1/4 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 z (pow.f64 y #s(literal -1/2 binary64)))) (/.f64 (-.f64 #s(literal 0 binary64) y) (pow.f64 y #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) z) (pow.f64 y #s(literal -3/4 binary64))) (/.f64 (-.f64 #s(literal 0 binary64) y) (pow.f64 y #s(literal -1/4 binary64)))) |
(*.f64 (pow.f64 (/.f64 z (*.f64 y y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 z (*.f64 y y)) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 z y)) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 0 binary64) y) z)) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) z)) (/.f64 (-.f64 #s(literal 0 binary64) y) z)) |
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) y) z)) |
(/.f64 y z) |
(/.f64 (/.f64 y z) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 z y)) |
(/.f64 #s(literal -1 binary64) (/.f64 z (-.f64 #s(literal 0 binary64) y))) |
(/.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) z)) |
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) y) z) #s(literal -1 binary64)) |
(/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (pow.f64 y #s(literal -1/2 binary64)))) (pow.f64 y #s(literal -1/2 binary64))) |
(/.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) y)) |
(/.f64 (pow.f64 y #s(literal 1/2 binary64)) (*.f64 z (pow.f64 y #s(literal -1/2 binary64)))) |
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 y #s(literal -1/4 binary64))) (pow.f64 y #s(literal -3/4 binary64))) |
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y)) |
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 y #s(literal -3/4 binary64))) (pow.f64 y #s(literal -1/4 binary64))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y)) |
(/.f64 (*.f64 (pow.f64 y #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) z)) (pow.f64 y #s(literal -1/2 binary64))) |
(pow.f64 (/.f64 y z) #s(literal 1 binary64)) |
(pow.f64 (/.f64 z y) #s(literal -1 binary64)) |
(*.f64 y (/.f64 #s(literal 1 binary64) z)) |
(*.f64 (/.f64 y z) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 y z)) |
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) y) z)) |
(*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) |
(*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1 binary64))) |
(*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) y) z) #s(literal -1 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) z) y) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (-.f64 #s(literal 0 binary64) y)) |
(*.f64 (pow.f64 y #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 z (pow.f64 y #s(literal -1/2 binary64))))) |
(*.f64 (pow.f64 y #s(literal 1/2 binary64)) (pow.f64 (*.f64 z (pow.f64 y #s(literal -1/2 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 z (pow.f64 y #s(literal -1/2 binary64))) #s(literal -1 binary64)) (pow.f64 y #s(literal 1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1/4 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 y #s(literal -3/4 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -3/4 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 y #s(literal -1/4 binary64)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) y)) |
(*.f64 (pow.f64 (/.f64 z y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 z y) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) y)) |
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)) y) |
(+.f64 x (/.f64 (*.f64 y y) z)) |
(+.f64 (/.f64 (*.f64 y y) z) x) |
(+.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 (*.f64 y y) z))) (neg.f64 (/.f64 (/.f64 (/.f64 (*.f64 y y) z) (/.f64 z (*.f64 y y))) (-.f64 x (/.f64 (*.f64 y y) z))))) |
(-.f64 x (*.f64 y (/.f64 (-.f64 #s(literal 0 binary64) y) z))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 (*.f64 y y) z))) (/.f64 (/.f64 (/.f64 (*.f64 y y) z) (/.f64 z (*.f64 y y))) (-.f64 x (/.f64 (*.f64 y y) z)))) |
(-.f64 (/.f64 (/.f64 (/.f64 (*.f64 y y) z) (/.f64 z (*.f64 y y))) (-.f64 (/.f64 (*.f64 y y) z) x)) (/.f64 (*.f64 x x) (-.f64 (/.f64 (*.f64 y y) z) x))) |
(fma.f64 y (/.f64 y z) x) |
(fma.f64 (/.f64 y z) y x) |
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) z) x) |
(fma.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 (-.f64 #s(literal 0 binary64) y) z) x) |
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) y) z) (-.f64 #s(literal 0 binary64) y) x) |
(fma.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) z) x) |
(fma.f64 (pow.f64 y #s(literal 3/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 z (pow.f64 y #s(literal -1/2 binary64)))) x) |
(neg.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (/.f64 (/.f64 (*.f64 y y) z) (/.f64 z (*.f64 y y))) (/.f64 z (*.f64 y y)))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (/.f64 (-.f64 (/.f64 (*.f64 y y) z) x) (/.f64 z (*.f64 y y))))))) |
(neg.f64 (/.f64 (-.f64 (*.f64 x x) (/.f64 (/.f64 (*.f64 y y) z) (/.f64 z (*.f64 y y)))) (-.f64 #s(literal 0 binary64) (-.f64 x (/.f64 (*.f64 y y) z))))) |
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (/.f64 (/.f64 (*.f64 y y) z) (/.f64 z (*.f64 y y))) (/.f64 z (*.f64 y y))))) (+.f64 (*.f64 x x) (/.f64 (-.f64 (/.f64 (*.f64 y y) z) x) (/.f64 z (*.f64 y y)))))) |
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) (/.f64 (/.f64 (*.f64 y y) z) (/.f64 z (*.f64 y y))))) (-.f64 x (/.f64 (*.f64 y y) z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (*.f64 y y) z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (*.f64 y y) z))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 y y) z) x) (-.f64 (/.f64 (/.f64 (*.f64 y y) z) (/.f64 z (*.f64 y y))) (*.f64 x x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (*.f64 y y) z))))) |
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (/.f64 (/.f64 (*.f64 y y) z) (/.f64 z (*.f64 y y))) (/.f64 z (*.f64 y y)))) (+.f64 (*.f64 x x) (/.f64 (-.f64 (/.f64 (*.f64 y y) z) x) (/.f64 z (*.f64 y y))))) |
(/.f64 (-.f64 (*.f64 x x) (/.f64 (/.f64 (*.f64 y y) z) (/.f64 z (*.f64 y y)))) (-.f64 x (/.f64 (*.f64 y y) z))) |
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (/.f64 (/.f64 (*.f64 y y) z) (/.f64 z (*.f64 y y))) (/.f64 z (*.f64 y y))))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (/.f64 (-.f64 (/.f64 (*.f64 y y) z) x) (/.f64 z (*.f64 y y)))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) (/.f64 (/.f64 (*.f64 y y) z) (/.f64 z (*.f64 y y))))) (-.f64 #s(literal 0 binary64) (-.f64 x (/.f64 (*.f64 y y) z)))) |
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(*.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 #s(literal 0 binary64) z)) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (-.f64 #s(literal 0 binary64) z) #s(literal 1 binary64))) |
(*.f64 (/.f64 z (-.f64 #s(literal 0 binary64) y)) #s(literal -1 binary64)) |
(*.f64 (pow.f64 y #s(literal -1/4 binary64)) (/.f64 (pow.f64 y #s(literal -3/4 binary64)) (/.f64 #s(literal 1 binary64) z))) |
(*.f64 (pow.f64 y #s(literal -1/4 binary64)) (*.f64 (pow.f64 y #s(literal -1/4 binary64)) (*.f64 z (pow.f64 y #s(literal -1/2 binary64))))) |
(*.f64 (pow.f64 y #s(literal -1/4 binary64)) (*.f64 (pow.f64 y #s(literal -3/4 binary64)) z)) |
(*.f64 (/.f64 z y) #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1/2 binary64))) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) z))) |
(*.f64 (*.f64 z (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64))) |
(*.f64 (*.f64 z (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 y #s(literal -3/4 binary64)) (/.f64 (pow.f64 y #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) z))) |
(*.f64 (pow.f64 y #s(literal -3/4 binary64)) (*.f64 (pow.f64 y #s(literal -1/4 binary64)) z)) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 (pow.f64 y #s(literal -1/4 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 y #s(literal -3/4 binary64)) (/.f64 #s(literal 1 binary64) z))) |
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 z (pow.f64 y #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (pow.f64 y #s(literal -3/4 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 y #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) z))) |
(*.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) z)) |
(*.f64 (pow.f64 (/.f64 y z) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y z) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 z (pow.f64 y #s(literal -1/4 binary64))) (pow.f64 y #s(literal -3/4 binary64))) |
(*.f64 (*.f64 z (pow.f64 y #s(literal -3/4 binary64))) (pow.f64 y #s(literal -1/4 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 z (pow.f64 y #s(literal -1/2 binary64)))) (pow.f64 y #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) z) (pow.f64 y #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1/2 binary64)))) |
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) z) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1/2 binary64)))) (pow.f64 y #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (*.f64 z (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/4 binary64))) (pow.f64 y #s(literal -1/4 binary64))) |
(*.f64 (/.f64 z (pow.f64 y #s(literal 1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 z (*.f64 y y))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 y (/.f64 (-.f64 #s(literal 0 binary64) y) z))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 z (-.f64 #s(literal 0 binary64) y))) (*.f64 y (/.f64 (-.f64 #s(literal 0 binary64) y) z))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) y)) (*.f64 y (/.f64 (-.f64 #s(literal 0 binary64) y) z))) |
(neg.f64 (*.f64 y (/.f64 (-.f64 #s(literal 0 binary64) y) z))) |
(/.f64 y (/.f64 z y)) |
(/.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 (/.f64 (*.f64 y y) z) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 y y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 y #s(literal -3/2 binary64))))) |
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 z (*.f64 y y)))) |
(/.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 z (-.f64 #s(literal 0 binary64) y))) |
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) y) z) (/.f64 #s(literal -1 binary64) y)) |
(/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 #s(literal 1 binary64) y) y)) |
(/.f64 (*.f64 y y) z) |
(/.f64 (pow.f64 y #s(literal 3/2 binary64)) (*.f64 z (pow.f64 y #s(literal -1/2 binary64)))) |
(/.f64 (*.f64 y (/.f64 (-.f64 #s(literal 0 binary64) y) z)) #s(literal -1 binary64)) |
(/.f64 (pow.f64 y #s(literal 1/2 binary64)) (*.f64 (pow.f64 y #s(literal -3/2 binary64)) z)) |
(/.f64 (pow.f64 y #s(literal 1/2 binary64)) (*.f64 (/.f64 z y) (pow.f64 y #s(literal -1/2 binary64)))) |
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 y #s(literal -3/2 binary64))) (pow.f64 y #s(literal -1/2 binary64))) |
(/.f64 (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 y #s(literal -3/2 binary64)))) (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1/2 binary64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (-.f64 #s(literal 0 binary64) z)) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y y))) (-.f64 #s(literal 0 binary64) z)) |
(/.f64 (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) y) z) (pow.f64 y #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1/2 binary64)))) |
(/.f64 (/.f64 (/.f64 y z) (pow.f64 y #s(literal -3/4 binary64))) (pow.f64 y #s(literal -1/4 binary64))) |
(/.f64 (/.f64 (/.f64 y z) (pow.f64 y #s(literal -1/4 binary64))) (pow.f64 y #s(literal -3/4 binary64))) |
(/.f64 (*.f64 (*.f64 y y) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) z)) |
(/.f64 (*.f64 (pow.f64 y #s(literal 3/2 binary64)) (/.f64 #s(literal 1 binary64) z)) (pow.f64 y #s(literal -1/2 binary64))) |
(/.f64 (*.f64 (pow.f64 y #s(literal 1/2 binary64)) (/.f64 y z)) (pow.f64 y #s(literal -1/2 binary64))) |
(/.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 y #s(literal -3/2 binary64))) #s(literal 1 binary64)) (pow.f64 y #s(literal -1/2 binary64))) |
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 y #s(literal -3/2 binary64))) (pow.f64 y #s(literal -1/4 binary64))) (pow.f64 y #s(literal -1/4 binary64))) |
(pow.f64 (/.f64 z (*.f64 y y)) #s(literal -1 binary64)) |
(*.f64 y (/.f64 y z)) |
(*.f64 (/.f64 y z) y) |
(*.f64 (/.f64 (*.f64 y y) z) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) z)) |
(*.f64 #s(literal -1 binary64) (*.f64 y (/.f64 (-.f64 #s(literal 0 binary64) y) z))) |
(*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 (-.f64 #s(literal 0 binary64) y) z)) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) y) z) (-.f64 #s(literal 0 binary64) y)) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y y)) |
(*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 z (pow.f64 y #s(literal -1/2 binary64))))) |
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (pow.f64 y #s(literal -1/2 binary64)))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (pow.f64 y #s(literal -1/2 binary64)))) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (pow.f64 y #s(literal -1/2 binary64)))) (pow.f64 y #s(literal 3/2 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (-.f64 #s(literal 0 binary64) (*.f64 y y))) |
(*.f64 (pow.f64 y #s(literal 1/2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 y #s(literal -3/2 binary64)))) |
(*.f64 (pow.f64 y #s(literal 1/2 binary64)) (pow.f64 (*.f64 (pow.f64 y #s(literal -3/2 binary64)) z) #s(literal -1 binary64))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 y #s(literal -3/2 binary64))) (pow.f64 y #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (pow.f64 y #s(literal -3/2 binary64)) #s(literal -1 binary64)) (pow.f64 (*.f64 z (pow.f64 y #s(literal -1/2 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) y) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1/2 binary64))))) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) y) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) z) (pow.f64 y #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (/.f64 y z) (pow.f64 y #s(literal -3/4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1/4 binary64)))) |
(*.f64 (/.f64 (/.f64 y z) (pow.f64 y #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -3/4 binary64)))) |
(*.f64 (/.f64 y (pow.f64 y #s(literal -1/4 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 y #s(literal -3/4 binary64)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 y #s(literal -1/4 binary64))) (/.f64 y (pow.f64 y #s(literal -3/4 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1/4 binary64))) (/.f64 (/.f64 y z) (pow.f64 y #s(literal -3/4 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) y) (pow.f64 y #s(literal -1/4 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) z) (pow.f64 y #s(literal -3/4 binary64)))) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) z) (pow.f64 y #s(literal -1/4 binary64))) (/.f64 (-.f64 #s(literal 0 binary64) y) (pow.f64 y #s(literal -3/4 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -3/4 binary64))) (/.f64 (/.f64 y z) (pow.f64 y #s(literal -1/4 binary64)))) |
(*.f64 (/.f64 y (pow.f64 y #s(literal -3/4 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 y #s(literal -1/4 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (/.f64 y z) (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1/2 binary64))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 z (pow.f64 y #s(literal -1/2 binary64))))) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) y) (pow.f64 y #s(literal -3/4 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) z) (pow.f64 y #s(literal -1/4 binary64)))) |
(*.f64 (/.f64 y (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1/2 binary64)))) (/.f64 (/.f64 #s(literal -1 binary64) z) (pow.f64 y #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) z) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (-.f64 #s(literal 0 binary64) y) (pow.f64 y #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 y y))) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 y y))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 y #s(literal -3/4 binary64))) (/.f64 y (pow.f64 y #s(literal -1/4 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 z (pow.f64 y #s(literal -1/2 binary64)))) (/.f64 (-.f64 #s(literal 0 binary64) y) (pow.f64 y #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) z) (pow.f64 y #s(literal -3/4 binary64))) (/.f64 (-.f64 #s(literal 0 binary64) y) (pow.f64 y #s(literal -1/4 binary64)))) |
(*.f64 (pow.f64 (/.f64 z (*.f64 y y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 z (*.f64 y y)) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 y))) |
(exp.f64 (*.f64 (log.f64 (*.f64 y y)) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal -1 binary64) (log.f64 y)) #s(literal 1 binary64))) |
(exp.f64 (neg.f64 (log.f64 y))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) y)) |
(neg.f64 (/.f64 #s(literal -1 binary64) y)) |
(/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) y) |
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) y)) |
(/.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) |
(pow.f64 y #s(literal -1 binary64)) |
(pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 y #s(literal -1/4 binary64)) #s(literal 4 binary64)) |
(pow.f64 (*.f64 y y) #s(literal -1/2 binary64)) |
(pow.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1/4 binary64)) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (log.f64 y))) |
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1/2 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) |
(*.f64 (pow.f64 y #s(literal -1/4 binary64)) (pow.f64 y #s(literal -3/4 binary64))) |
(*.f64 (pow.f64 y #s(literal -1/4 binary64)) (pow.f64 (pow.f64 y #s(literal -3/4 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 y #s(literal -1/4 binary64)) (/.f64 (pow.f64 y #s(literal -3/4 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 y #s(literal -1/4 binary64)) (*.f64 (pow.f64 y #s(literal -3/4 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 y #s(literal -1/8 binary64)) (*.f64 (pow.f64 y #s(literal -1/8 binary64)) (pow.f64 y #s(literal -3/4 binary64)))) |
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1/2 binary64)))) |
(*.f64 (pow.f64 y #s(literal -3/4 binary64)) (pow.f64 y #s(literal -1/4 binary64))) |
(*.f64 (pow.f64 y #s(literal -3/4 binary64)) (/.f64 (pow.f64 y #s(literal -1/4 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 y #s(literal -3/4 binary64)) (*.f64 (pow.f64 y #s(literal -1/4 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (pow.f64 y #s(literal -3/4 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal -1/4 binary64))) |
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1/2 binary64)))) (pow.f64 y #s(literal -1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1/4 binary64))) (pow.f64 y #s(literal -3/4 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -3/4 binary64))) (pow.f64 y #s(literal -1/4 binary64))) |
(*.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1/2 binary64)))) (pow.f64 y #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (pow.f64 y #s(literal -3/4 binary64)) (pow.f64 y #s(literal -1/8 binary64))) (pow.f64 y #s(literal -1/8 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64))) |
| 1× | egg-herbie |
| 2598× | *-lowering-*.f32 |
| 2598× | *-lowering-*.f64 |
| 1568× | fnmadd-define |
| 1116× | fma-lowering-fma.f32 |
| 1116× | fma-lowering-fma.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 889 |
| 1 | 91 | 762 |
| 2 | 274 | 762 |
| 3 | 804 | 762 |
| 4 | 3588 | 762 |
| 0 | 8395 | 762 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ (pow y 2) z) |
(+ x (/ (pow y 2) z)) |
(+ x (/ (pow y 2) z)) |
(+ x (/ (pow y 2) z)) |
x |
(* x (+ 1 (/ (pow y 2) (* x z)))) |
(* x (+ 1 (/ (pow y 2) (* x z)))) |
(* x (+ 1 (/ (pow y 2) (* x z)))) |
x |
(* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1))) |
(* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1))) |
(* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1))) |
x |
(+ x (/ (pow y 2) z)) |
(+ x (/ (pow y 2) z)) |
(+ x (/ (pow y 2) z)) |
(/ (pow y 2) z) |
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2)))) |
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2)))) |
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2)))) |
(* -1 (/ (pow y 2) (* z (pow (sqrt -1) 2)))) |
(* (pow y 2) (- (/ x (pow y 2)) (/ 1 (* z (pow (sqrt -1) 2))))) |
(* (pow y 2) (- (/ x (pow y 2)) (/ 1 (* z (pow (sqrt -1) 2))))) |
(* (pow y 2) (- (/ x (pow y 2)) (/ 1 (* z (pow (sqrt -1) 2))))) |
(/ (pow y 2) z) |
(/ (+ (* x z) (pow y 2)) z) |
(/ (+ (* x z) (pow y 2)) z) |
(/ (+ (* x z) (pow y 2)) z) |
x |
(+ x (/ (pow y 2) z)) |
(+ x (/ (pow y 2) z)) |
(+ x (/ (pow y 2) z)) |
x |
(+ x (/ (pow y 2) z)) |
(+ x (/ (pow y 2) z)) |
(+ x (/ (pow y 2) z)) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(* -1 (/ (pow y 2) (* z (pow (sqrt -1) 2)))) |
(* -1 (/ (pow y 2) (* z (pow (sqrt -1) 2)))) |
(* -1 (/ (pow y 2) (* z (pow (sqrt -1) 2)))) |
(* -1 (/ (pow y 2) (* z (pow (sqrt -1) 2)))) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(* -1 (/ (pow (sqrt -1) 2) y)) |
(* -1 (/ (pow (sqrt -1) 2) y)) |
(* -1 (/ (pow (sqrt -1) 2) y)) |
(* -1 (/ (pow (sqrt -1) 2) y)) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
| Outputs |
|---|
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(+ x (/ (pow y 2) z)) |
(+.f64 (/.f64 (*.f64 y y) z) x) |
(+ x (/ (pow y 2) z)) |
(+.f64 (/.f64 (*.f64 y y) z) x) |
(+ x (/ (pow y 2) z)) |
(+.f64 (/.f64 (*.f64 y y) z) x) |
x |
(* x (+ 1 (/ (pow y 2) (* x z)))) |
(+.f64 (/.f64 (*.f64 y y) z) x) |
(* x (+ 1 (/ (pow y 2) (* x z)))) |
(+.f64 (/.f64 (*.f64 y y) z) x) |
(* x (+ 1 (/ (pow y 2) (* x z)))) |
(+.f64 (/.f64 (*.f64 y y) z) x) |
x |
(* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1))) |
(+.f64 (/.f64 (*.f64 y y) z) x) |
(* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1))) |
(+.f64 (/.f64 (*.f64 y y) z) x) |
(* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1))) |
(+.f64 (/.f64 (*.f64 y y) z) x) |
x |
(+ x (/ (pow y 2) z)) |
(+.f64 (/.f64 (*.f64 y y) z) x) |
(+ x (/ (pow y 2) z)) |
(+.f64 (/.f64 (*.f64 y y) z) x) |
(+ x (/ (pow y 2) z)) |
(+.f64 (/.f64 (*.f64 y y) z) x) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2)))) |
(+.f64 (/.f64 (*.f64 y y) z) x) |
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2)))) |
(+.f64 (/.f64 (*.f64 y y) z) x) |
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2)))) |
(+.f64 (/.f64 (*.f64 y y) z) x) |
(* -1 (/ (pow y 2) (* z (pow (sqrt -1) 2)))) |
(/.f64 (*.f64 y y) z) |
(* (pow y 2) (- (/ x (pow y 2)) (/ 1 (* z (pow (sqrt -1) 2))))) |
(+.f64 (/.f64 (*.f64 y y) z) x) |
(* (pow y 2) (- (/ x (pow y 2)) (/ 1 (* z (pow (sqrt -1) 2))))) |
(+.f64 (/.f64 (*.f64 y y) z) x) |
(* (pow y 2) (- (/ x (pow y 2)) (/ 1 (* z (pow (sqrt -1) 2))))) |
(+.f64 (/.f64 (*.f64 y y) z) x) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (+ (* x z) (pow y 2)) z) |
(/.f64 (+.f64 (*.f64 y y) (*.f64 z x)) z) |
(/ (+ (* x z) (pow y 2)) z) |
(/.f64 (+.f64 (*.f64 y y) (*.f64 z x)) z) |
(/ (+ (* x z) (pow y 2)) z) |
(/.f64 (+.f64 (*.f64 y y) (*.f64 z x)) z) |
x |
(+ x (/ (pow y 2) z)) |
(+.f64 (/.f64 (*.f64 y y) z) x) |
(+ x (/ (pow y 2) z)) |
(+.f64 (/.f64 (*.f64 y y) z) x) |
(+ x (/ (pow y 2) z)) |
(+.f64 (/.f64 (*.f64 y y) z) x) |
x |
(+ x (/ (pow y 2) z)) |
(+.f64 (/.f64 (*.f64 y y) z) x) |
(+ x (/ (pow y 2) z)) |
(+.f64 (/.f64 (*.f64 y y) z) x) |
(+ x (/ (pow y 2) z)) |
(+.f64 (/.f64 (*.f64 y y) z) x) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(* -1 (/ (pow y 2) (* z (pow (sqrt -1) 2)))) |
(/.f64 (*.f64 y y) z) |
(* -1 (/ (pow y 2) (* z (pow (sqrt -1) 2)))) |
(/.f64 (*.f64 y y) z) |
(* -1 (/ (pow y 2) (* z (pow (sqrt -1) 2)))) |
(/.f64 (*.f64 y y) z) |
(* -1 (/ (pow y 2) (* z (pow (sqrt -1) 2)))) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(* -1 (/ (pow (sqrt -1) 2) y)) |
(/.f64 #s(literal 1 binary64) y) |
(* -1 (/ (pow (sqrt -1) 2) y)) |
(/.f64 #s(literal 1 binary64) y) |
(* -1 (/ (pow (sqrt -1) 2) y)) |
(/.f64 #s(literal 1 binary64) y) |
(* -1 (/ (pow (sqrt -1) 2) y)) |
(/.f64 #s(literal 1 binary64) y) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
Compiled 10639 to 885 computations (91.7% saved)
7 alts after pruning (1 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 870 | 1 | 871 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 3 | 4 |
| Done | 0 | 3 | 3 |
| Total | 871 | 7 | 878 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 51.0% | (/.f64 (pow.f64 y #s(literal 3/2 binary64)) (*.f64 z (pow.f64 y #s(literal -1/2 binary64)))) |
| ✓ | 55.3% | (/.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) y)) |
| ✓ | 46.7% | (/.f64 (*.f64 y y) z) |
| ✓ | 55.4% | (/.f64 y (/.f64 z y)) |
| ✓ | 99.9% | (+.f64 x (*.f64 y (/.f64 y z))) |
| ✓ | 55.4% | (*.f64 (/.f64 y z) y) |
| ✓ | 47.1% | x |
Compiled 60 to 40 computations (33.3% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (pow.f64 y #s(literal -1/2 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 z (pow.f64 y #s(literal -1/2 binary64))) |
| ✓ | cost-diff | 0 | (pow.f64 y #s(literal 3/2 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (pow.f64 y #s(literal 3/2 binary64)) (*.f64 z (pow.f64 y #s(literal -1/2 binary64)))) |
| 10× | /-lowering-/.f32 |
| 10× | /-lowering-/.f64 |
| 4× | pow-lowering-pow.f64 |
| 4× | pow-lowering-pow.f32 |
| 4× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 24 |
| 1 | 11 | 24 |
| 2 | 13 | 24 |
| 0 | 13 | 24 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/ (pow y 3/2) (* z (pow y -1/2))) |
(pow y 3/2) |
y |
3/2 |
(* z (pow y -1/2)) |
z |
(pow y -1/2) |
-1/2 |
| Outputs |
|---|
(/ (pow y 3/2) (* z (pow y -1/2))) |
(/.f64 (/.f64 (pow.f64 y #s(literal 3/2 binary64)) z) (pow.f64 y #s(literal -1/2 binary64))) |
(pow y 3/2) |
(pow.f64 y #s(literal 3/2 binary64)) |
y |
3/2 |
#s(literal 3/2 binary64) |
(* z (pow y -1/2)) |
(*.f64 z (pow.f64 y #s(literal -1/2 binary64))) |
z |
(pow y -1/2) |
(pow.f64 y #s(literal -1/2 binary64)) |
-1/2 |
#s(literal -1/2 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (pow.f64 y #s(literal 3/2 binary64)) |
| ✓ | accuracy | 100.0% | (pow.f64 y #s(literal -1/2 binary64)) |
| ✓ | accuracy | 99.6% | (*.f64 z (pow.f64 y #s(literal -1/2 binary64))) |
| ✓ | accuracy | 92.0% | (/.f64 (pow.f64 y #s(literal 3/2 binary64)) (*.f64 z (pow.f64 y #s(literal -1/2 binary64)))) |
| 36.0ms | 256× | 0 | valid |
Compiled 28 to 10 computations (64.3% saved)
ival-pow: 11.0ms (71.1% of total)ival-div: 2.0ms (12.9% of total)ival-mult: 2.0ms (12.9% of total)const: 1.0ms (6.5% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ (pow y 3/2) (* z (pow y -1/2)))> |
#<alt (pow y 3/2)> |
#<alt (* z (pow y -1/2))> |
#<alt (pow y -1/2)> |
| Outputs |
|---|
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (sqrt (pow y 3))> |
#<alt (sqrt (pow y 3))> |
#<alt (sqrt (pow y 3))> |
#<alt (sqrt (pow y 3))> |
#<alt (sqrt (pow y 3))> |
#<alt (sqrt (pow y 3))> |
#<alt (sqrt (pow y 3))> |
#<alt (sqrt (pow y 3))> |
#<alt (* (sqrt (pow y 3)) (pow (sqrt -1) 2))> |
#<alt (* (sqrt (pow y 3)) (pow (sqrt -1) 2))> |
#<alt (* (sqrt (pow y 3)) (pow (sqrt -1) 2))> |
#<alt (* (sqrt (pow y 3)) (pow (sqrt -1) 2))> |
#<alt (* (sqrt (/ 1 y)) z)> |
#<alt (* (sqrt (/ 1 y)) z)> |
#<alt (* (sqrt (/ 1 y)) z)> |
#<alt (* (sqrt (/ 1 y)) z)> |
#<alt (* (sqrt (/ 1 y)) z)> |
#<alt (* (sqrt (/ 1 y)) z)> |
#<alt (* (sqrt (/ 1 y)) z)> |
#<alt (* (sqrt (/ 1 y)) z)> |
#<alt (* (sqrt (/ 1 y)) z)> |
#<alt (* (sqrt (/ 1 y)) z)> |
#<alt (* (sqrt (/ 1 y)) z)> |
#<alt (* (sqrt (/ 1 y)) z)> |
#<alt (* (sqrt (/ 1 y)) z)> |
#<alt (* (sqrt (/ 1 y)) z)> |
#<alt (* (sqrt (/ 1 y)) z)> |
#<alt (* (sqrt (/ 1 y)) z)> |
#<alt (* (sqrt (/ 1 y)) z)> |
#<alt (* (sqrt (/ 1 y)) z)> |
#<alt (* (sqrt (/ 1 y)) z)> |
#<alt (* (sqrt (/ 1 y)) z)> |
#<alt (* (sqrt (/ 1 y)) (* z (pow (sqrt -1) 2)))> |
#<alt (* (sqrt (/ 1 y)) (* z (pow (sqrt -1) 2)))> |
#<alt (* (sqrt (/ 1 y)) (* z (pow (sqrt -1) 2)))> |
#<alt (* (sqrt (/ 1 y)) (* z (pow (sqrt -1) 2)))> |
#<alt (sqrt (/ 1 y))> |
#<alt (sqrt (/ 1 y))> |
#<alt (sqrt (/ 1 y))> |
#<alt (sqrt (/ 1 y))> |
#<alt (sqrt (/ 1 y))> |
#<alt (sqrt (/ 1 y))> |
#<alt (sqrt (/ 1 y))> |
#<alt (sqrt (/ 1 y))> |
#<alt (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))> |
#<alt (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))> |
#<alt (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))> |
#<alt (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))> |
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | -inf | (pow y 3/2) |
| 1.0ms | y | @ | 0 | (pow y 3/2) |
| 1.0ms | z | @ | 0 | (* z (pow y -1/2)) |
| 1.0ms | y | @ | -inf | (* z (pow y -1/2)) |
| 0.0ms | y | @ | 0 | (pow y -1/2) |
| 1× | batch-egg-rewrite |
| 4812× | *-lowering-*.f32 |
| 4812× | *-lowering-*.f64 |
| 2506× | /-lowering-/.f32 |
| 2506× | /-lowering-/.f64 |
| 1244× | +-lowering-+.f64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 20 |
| 1 | 33 | 20 |
| 2 | 146 | 15 |
| 3 | 927 | 14 |
| 4 | 7378 | 13 |
| 0 | 8870 | 13 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (pow y 3/2) (* z (pow y -1/2))) |
(pow y 3/2) |
(* z (pow y -1/2)) |
(pow y -1/2) |
| Outputs |
|---|
(+.f64 #s(literal 0 binary64) (/.f64 (*.f64 y y) z)) |
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 z (pow.f64 y #s(literal -1/2 binary64)))) #s(literal 0 binary64)) (/.f64 (*.f64 y y) z)) |
(exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 z (*.f64 y y))))) |
(exp.f64 (+.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 y)) (*.f64 #s(literal -1 binary64) (log.f64 (*.f64 z (pow.f64 y #s(literal -1/2 binary64))))))) |
(exp.f64 (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (*.f64 z (pow.f64 y #s(literal -1/2 binary64))))) (*.f64 #s(literal 3/2 binary64) (log.f64 y)))) |
(exp.f64 (-.f64 (*.f64 #s(literal -1 binary64) (log.f64 (*.f64 z (pow.f64 y #s(literal -1/2 binary64))))) (*.f64 (log.f64 y) #s(literal -3/2 binary64)))) |
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 y y) z))) |
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 y y) z)) #s(literal 1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1/2 binary64)))) (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 y y) z))) |
(-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 y y) z))) |
(neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 y y) z))) |
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 y y) z)) #s(literal 1 binary64))) |
(/.f64 (pow.f64 y #s(literal 3/2 binary64)) (*.f64 z (pow.f64 y #s(literal -1/2 binary64)))) |
(/.f64 (/.f64 (*.f64 y y) z) #s(literal 1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 3/2 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 z (pow.f64 y #s(literal -1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 y y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (pow.f64 y #s(literal -1/4 binary64))) (pow.f64 y #s(literal 7/4 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal -1/8 binary64)) (/.f64 (pow.f64 y #s(literal 3/2 binary64)) (*.f64 z (pow.f64 y #s(literal -3/8 binary64)))))) |
(/.f64 (/.f64 (sqrt.f64 y) z) (pow.f64 y #s(literal -3/2 binary64))) |
(/.f64 (pow.f64 y #s(literal 3/4 binary64)) (/.f64 z (pow.f64 y #s(literal 5/4 binary64)))) |
(/.f64 (/.f64 (pow.f64 y #s(literal 3/2 binary64)) z) (pow.f64 y #s(literal -1/2 binary64))) |
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 z (*.f64 y y)))) |
(/.f64 (*.f64 y y) z) |
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (pow.f64 y #s(literal 3/2 binary64)) z)) (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1/2 binary64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (pow.f64 y #s(literal 3/2 binary64)) z)) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1/2 binary64))))) |
(/.f64 (/.f64 (pow.f64 y #s(literal 3/4 binary64)) z) (pow.f64 y #s(literal -5/4 binary64))) |
(/.f64 (pow.f64 y #s(literal 5/4 binary64)) (/.f64 z (pow.f64 y #s(literal 3/4 binary64)))) |
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 z (pow.f64 y #s(literal -1/2 binary64)))) (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -3/2 binary64)))) |
(/.f64 (sqrt.f64 y) (/.f64 z (pow.f64 y #s(literal 3/2 binary64)))) |
(/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) (*.f64 y y))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 3/4 binary64))) (-.f64 #s(literal 0 binary64) (/.f64 z (pow.f64 y #s(literal 5/4 binary64))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 3/4 binary64))) (*.f64 (/.f64 z (pow.f64 y #s(literal 3/4 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1/2 binary64))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 3/4 binary64))) (*.f64 (pow.f64 y #s(literal -5/4 binary64)) (-.f64 #s(literal 0 binary64) z))) |
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 y y) z)) #s(literal -1 binary64)) |
(/.f64 (/.f64 (pow.f64 y #s(literal 7/4 binary64)) z) (pow.f64 y #s(literal -1/4 binary64))) |
(/.f64 (/.f64 (pow.f64 y #s(literal 7/4 binary64)) z) (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1/4 binary64))))) |
(/.f64 (/.f64 (pow.f64 y #s(literal 7/4 binary64)) z) (*.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1/4 binary64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (pow.f64 y #s(literal 7/4 binary64)) z)) (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1/4 binary64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (pow.f64 y #s(literal 7/4 binary64)) z)) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1/4 binary64))))) |
(/.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 5/4 binary64))) (-.f64 #s(literal 0 binary64) (/.f64 z (pow.f64 y #s(literal 3/4 binary64))))) |
(/.f64 (pow.f64 y #s(literal 1 binary64)) (*.f64 (/.f64 z (pow.f64 y #s(literal 3/4 binary64))) (pow.f64 y #s(literal -1/4 binary64)))) |
(/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -1/4 binary64))) (*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 3/2 binary64)) z)) (pow.f64 y #s(literal -1/4 binary64)))) |
(/.f64 (pow.f64 y #s(literal 7/4 binary64)) (*.f64 z (pow.f64 y #s(literal -1/4 binary64)))) |
(/.f64 (pow.f64 y #s(literal 7/4 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 z (pow.f64 y #s(literal -1/4 binary64))))) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (pow.f64 y #s(literal -1/4 binary64)))) (pow.f64 y #s(literal -7/4 binary64))) |
(/.f64 (pow.f64 y #s(literal 1/4 binary64)) (*.f64 z (pow.f64 y #s(literal -7/4 binary64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 9/2 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (pow.f64 y #s(literal -1/2 binary64)))) (pow.f64 y #s(literal 3 binary64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 y)) (/.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 3/2 binary64)) z))) |
(/.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) (*.f64 y y))) |
(/.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (pow.f64 y #s(literal -3/2 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1/2 binary64))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 3 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (pow.f64 y #s(literal -1/2 binary64)))) (pow.f64 y #s(literal 3/2 binary64)))) |
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 3/4 binary64))) z) (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 5/4 binary64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (-.f64 #s(literal 0 binary64) z)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) z))) |
(/.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 7/4 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 z (pow.f64 y #s(literal -1/4 binary64))))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 y #s(literal 13/8 binary64))) (pow.f64 y #s(literal -3/8 binary64))) |
(/.f64 (/.f64 (pow.f64 y #s(literal 3/2 binary64)) (*.f64 z (pow.f64 y #s(literal -3/8 binary64)))) (pow.f64 y #s(literal -1/8 binary64))) |
(/.f64 (/.f64 (pow.f64 y #s(literal 3/2 binary64)) (*.f64 z (pow.f64 y #s(literal -3/8 binary64)))) (*.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1/8 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 z (*.f64 y y)))) (-.f64 #s(literal 0 binary64) (*.f64 z (pow.f64 y #s(literal -1/2 binary64))))) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (pow.f64 y #s(literal -1/2 binary64)))) (-.f64 #s(literal 0 binary64) (/.f64 z (*.f64 y y))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (pow.f64 y #s(literal -1/2 binary64)))) (pow.f64 y #s(literal 3/2 binary64)))) (pow.f64 (*.f64 z (pow.f64 y #s(literal -1/2 binary64))) #s(literal 2 binary64))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (pow.f64 y #s(literal -1/2 binary64)))) (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 3/2 binary64))))) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (pow.f64 y #s(literal -1/2 binary64)))) (*.f64 z (pow.f64 y #s(literal -1/2 binary64))))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1/2 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (pow.f64 y #s(literal -1/2 binary64)))) (/.f64 (pow.f64 y #s(literal 3/2 binary64)) z))) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (pow.f64 y #s(literal -1/2 binary64)))) (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1/2 binary64))))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) z)) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (pow.f64 y #s(literal -1/2 binary64)))) (*.f64 y y))) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (pow.f64 y #s(literal -1/2 binary64)))) (-.f64 #s(literal 0 binary64) z))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1/2 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (pow.f64 y #s(literal -1/2 binary64)))) (-.f64 #s(literal 0 binary64) (/.f64 (pow.f64 y #s(literal 3/2 binary64)) z)))) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (pow.f64 y #s(literal -1/2 binary64)))) (pow.f64 y #s(literal -1/2 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) z) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (pow.f64 y #s(literal -1/2 binary64)))) (-.f64 #s(literal 0 binary64) (*.f64 y y)))) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (pow.f64 y #s(literal -1/2 binary64)))) z)) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 z (pow.f64 y #s(literal -1/4 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (pow.f64 y #s(literal -1/2 binary64)))) (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 7/4 binary64))))) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (pow.f64 y #s(literal -1/2 binary64)))) (*.f64 z (pow.f64 y #s(literal -1/4 binary64))))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1/4 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (pow.f64 y #s(literal -1/2 binary64)))) (-.f64 #s(literal 0 binary64) (/.f64 (pow.f64 y #s(literal 7/4 binary64)) z)))) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (pow.f64 y #s(literal -1/2 binary64)))) (pow.f64 y #s(literal -1/4 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 9/2 binary64))) #s(literal 1 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 z (pow.f64 y #s(literal -1/2 binary64)))))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 9/2 binary64))) #s(literal -1 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 z (pow.f64 y #s(literal -1/2 binary64))))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 9/2 binary64))) (sqrt.f64 y)) (*.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 #s(literal 0 binary64) z))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 9/2 binary64))) (/.f64 #s(literal 1 binary64) z)) (*.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1/2 binary64))))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (pow.f64 y #s(literal 3/2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 z (pow.f64 y #s(literal -1/2 binary64)))))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (pow.f64 y #s(literal 3/2 binary64)) (*.f64 z (pow.f64 y #s(literal -1/2 binary64))))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 3 binary64))) (sqrt.f64 y)) (*.f64 (pow.f64 y #s(literal 3/2 binary64)) (-.f64 #s(literal 0 binary64) z))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) z)) (*.f64 (pow.f64 y #s(literal 3/2 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1/2 binary64))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 3/4 binary64)))) (*.f64 (/.f64 z (pow.f64 y #s(literal 3/4 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1/2 binary64))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 3/4 binary64)))) (*.f64 (pow.f64 y #s(literal -5/4 binary64)) (-.f64 #s(literal 0 binary64) z))) |
(/.f64 (*.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 y #s(literal 3/4 binary64))) (*.f64 z (pow.f64 y #s(literal -1/4 binary64)))) |
(/.f64 (*.f64 (pow.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 3/4 binary64)))) (-.f64 #s(literal 0 binary64) (*.f64 z (pow.f64 y #s(literal -1/4 binary64))))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 3/4 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 z (pow.f64 y #s(literal 5/4 binary64))))) |
(/.f64 (*.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal 1 binary64)) (*.f64 z (pow.f64 y #s(literal -7/4 binary64)))) |
(/.f64 (*.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal -1 binary64)) (*.f64 (pow.f64 y #s(literal -1/4 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 3/2 binary64)) z)))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 9/2 binary64))) (-.f64 #s(literal 0 binary64) (sqrt.f64 y))) (*.f64 (pow.f64 y #s(literal 3 binary64)) z)) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 9/2 binary64))) (/.f64 #s(literal -1 binary64) z)) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal -1/2 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 3 binary64))) (-.f64 #s(literal 0 binary64) (sqrt.f64 y))) (*.f64 (pow.f64 y #s(literal 3/2 binary64)) z)) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) z)) (*.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 y #s(literal -1/2 binary64)))) |
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(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 3/2 binary64))) #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64))) |
(pow.f64 y #s(literal 3/2 binary64)) |
(pow.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 y #s(literal 3/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 y y) #s(literal 3/4 binary64)) |
(pow.f64 (pow.f64 y #s(literal -3/2 binary64)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 y #s(literal 3/8 binary64)) #s(literal 4 binary64)) |
(pow.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 3/4 binary64))) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 #s(literal 3/2 binary64)) (log.f64 y)) |
(pow.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 3/8 binary64)) |
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 3/2 binary64))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 y #s(literal 3/4 binary64)) (pow.f64 y #s(literal 3/4 binary64))) |
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 3/2 binary64)))) |
(*.f64 (pow.f64 y #s(literal 3/8 binary64)) (pow.f64 y #s(literal 9/8 binary64))) |
(*.f64 (pow.f64 y #s(literal 3/8 binary64)) (neg.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 9/8 binary64))))) |
(*.f64 (pow.f64 y #s(literal 3/8 binary64)) (*.f64 (pow.f64 y #s(literal 9/8 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 y #s(literal 3/8 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 3/8 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 3/4 binary64))))) |
(*.f64 (pow.f64 y #s(literal 3/8 binary64)) (/.f64 (pow.f64 y #s(literal 9/8 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 y #s(literal 3/8 binary64)) (/.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 9/8 binary64))) #s(literal -1 binary64))) |
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 3/4 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 3/4 binary64)))) |
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 3/4 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 3/4 binary64))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 y #s(literal 3/16 binary64)) (*.f64 (pow.f64 y #s(literal 3/16 binary64)) (pow.f64 y #s(literal 9/8 binary64)))) |
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 3/8 binary64))) (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 9/8 binary64)))) |
(*.f64 (pow.f64 y #s(literal 9/8 binary64)) (pow.f64 y #s(literal 3/8 binary64))) |
(*.f64 (pow.f64 y #s(literal 9/8 binary64)) (*.f64 (pow.f64 y #s(literal 3/8 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 y #s(literal 9/8 binary64)) (/.f64 (pow.f64 y #s(literal 3/8 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 9/8 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 3/8 binary64)))) |
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 9/8 binary64))) (/.f64 (pow.f64 y #s(literal 3/8 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 y #s(literal -3/2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 y #s(literal -3/2 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal 3/4 binary64)) (pow.f64 (sqrt.f64 y) #s(literal 3/4 binary64))) |
(*.f64 (pow.f64 (pow.f64 y #s(literal 3/4 binary64)) #s(literal 3/4 binary64)) (pow.f64 (pow.f64 y #s(literal 5/4 binary64)) #s(literal 3/4 binary64))) |
(*.f64 (pow.f64 (pow.f64 y #s(literal 1 binary64)) #s(literal 3/4 binary64)) (pow.f64 (pow.f64 y #s(literal 1 binary64)) #s(literal 3/4 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 3/4 binary64)))) (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 3/4 binary64)))) |
(*.f64 (pow.f64 (exp.f64 #s(literal 3/2 binary64)) (/.f64 (log.f64 y) #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal 3/2 binary64)) (/.f64 (log.f64 y) #s(literal 2 binary64)))) |
(*.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 9/8 binary64)))) (pow.f64 y #s(literal 3/8 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3/8 binary64))) (pow.f64 y #s(literal 9/8 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 9/8 binary64))) (pow.f64 y #s(literal 3/8 binary64))) |
(*.f64 (*.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 9/8 binary64)))) (pow.f64 y #s(literal 3/8 binary64))) |
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 3/4 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 3/8 binary64)))) (pow.f64 y #s(literal 3/8 binary64))) |
(*.f64 (*.f64 (pow.f64 y #s(literal 9/8 binary64)) (pow.f64 y #s(literal 3/16 binary64))) (pow.f64 y #s(literal 3/16 binary64))) |
(+.f64 (*.f64 z (pow.f64 y #s(literal -1/2 binary64))) #s(literal 0 binary64)) |
(+.f64 #s(literal 0 binary64) (*.f64 z (pow.f64 y #s(literal -1/2 binary64)))) |
(exp.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (log.f64 (*.f64 z (pow.f64 y #s(literal -1/2 binary64))))))) |
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 z (pow.f64 y #s(literal -1/2 binary64))))) |
(neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (pow.f64 y #s(literal -1/2 binary64))))) |
(/.f64 z (sqrt.f64 y)) |
(/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) z)) |
(/.f64 (*.f64 z (pow.f64 y #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (pow.f64 y #s(literal -1/2 binary64)))) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 y) z)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 y) z) #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z (pow.f64 y #s(literal -1/2 binary64))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 #s(literal -1 binary64) z)) |
(/.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 #s(literal 0 binary64) (sqrt.f64 y))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 z (pow.f64 y #s(literal -1/2 binary64))) #s(literal 3 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 z (pow.f64 y #s(literal -1/2 binary64))) #s(literal 2 binary64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 z (pow.f64 y #s(literal -1/2 binary64))) #s(literal 3 binary64))) (*.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z (pow.f64 y #s(literal -1/2 binary64))) #s(literal 2 binary64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 z (pow.f64 y #s(literal -1/2 binary64))) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 z (pow.f64 y #s(literal -1/2 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 z (pow.f64 y #s(literal -1/2 binary64))) #s(literal 3 binary64)))) (pow.f64 (*.f64 z (pow.f64 y #s(literal -1/2 binary64))) #s(literal 2 binary64))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 z (pow.f64 y #s(literal -1/2 binary64))) #s(literal 2 binary64)))) (*.f64 z (pow.f64 y #s(literal -1/2 binary64)))) |
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 z (pow.f64 y #s(literal -1/2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (*.f64 z (pow.f64 y #s(literal -1/2 binary64))) #s(literal 2 binary64)) #s(literal 0 binary64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (pow.f64 y #s(literal -1/2 binary64)))) #s(literal 3 binary64))) (pow.f64 (*.f64 z (pow.f64 y #s(literal -1/2 binary64))) #s(literal 2 binary64))) |
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 z (pow.f64 y #s(literal -1/2 binary64))) #s(literal 3 binary64)))) (pow.f64 (*.f64 z (pow.f64 y #s(literal -1/2 binary64))) #s(literal 2 binary64))) |
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 z (pow.f64 y #s(literal -1/2 binary64))) #s(literal 2 binary64)))) (*.f64 z (pow.f64 y #s(literal -1/2 binary64)))) |
(pow.f64 (*.f64 z (pow.f64 y #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (sqrt.f64 y) z) #s(literal -1 binary64)) |
(*.f64 z (pow.f64 y #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) z) |
(*.f64 (*.f64 z (pow.f64 y #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (pow.f64 y #s(literal -1/2 binary64)))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 z (pow.f64 y #s(literal -1/2 binary64)))) |
(*.f64 (pow.f64 y #s(literal -1/4 binary64)) (*.f64 z (pow.f64 y #s(literal -1/4 binary64)))) |
(*.f64 (pow.f64 y #s(literal -1/4 binary64)) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (pow.f64 y #s(literal -1/4 binary64)))))) |
(*.f64 (pow.f64 y #s(literal -1/4 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1/4 binary64))) (-.f64 #s(literal 0 binary64) z))) |
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 z (pow.f64 y #s(literal -1/2 binary64))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) z)) |
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1/2 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) z) #s(literal 1 binary64))) |
(*.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1/2 binary64)))) |
(*.f64 (-.f64 #s(literal 0 binary64) z) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1/2 binary64))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 y #s(literal -1/8 binary64)) (*.f64 z (pow.f64 y #s(literal -3/8 binary64)))) |
(*.f64 (pow.f64 y #s(literal -1/8 binary64)) (*.f64 (*.f64 z (pow.f64 y #s(literal -3/8 binary64))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 y #s(literal -1/8 binary64)) (/.f64 (*.f64 z (pow.f64 y #s(literal -3/8 binary64))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 y #s(literal -1/8 binary64)) (/.f64 (pow.f64 y #s(literal -3/8 binary64)) (/.f64 #s(literal 1 binary64) z))) |
(*.f64 (*.f64 z (pow.f64 y #s(literal -1/4 binary64))) (pow.f64 y #s(literal -1/4 binary64))) |
(*.f64 (*.f64 z (pow.f64 y #s(literal -1/4 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1/4 binary64))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1/4 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 z (pow.f64 y #s(literal -1/4 binary64))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1/4 binary64))) (/.f64 (*.f64 z (pow.f64 y #s(literal -1/4 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 y #s(literal -1/16 binary64)) (*.f64 (pow.f64 y #s(literal -1/16 binary64)) (*.f64 z (pow.f64 y #s(literal -3/8 binary64))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (pow.f64 y #s(literal -1/4 binary64)))) (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1/4 binary64)))) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (pow.f64 y #s(literal -1/4 binary64)))) (/.f64 (pow.f64 y #s(literal -1/4 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 y #s(literal -3/8 binary64)) (*.f64 z (pow.f64 y #s(literal -1/8 binary64)))) |
(*.f64 (pow.f64 y #s(literal -3/8 binary64)) (/.f64 (pow.f64 y #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) z))) |
(*.f64 (*.f64 z (pow.f64 y #s(literal -3/8 binary64))) (pow.f64 y #s(literal -1/8 binary64))) |
(*.f64 (*.f64 z (pow.f64 y #s(literal -3/8 binary64))) (*.f64 (pow.f64 y #s(literal -1/8 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 z (pow.f64 y #s(literal -3/8 binary64))) (/.f64 (pow.f64 y #s(literal -1/8 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 z (pow.f64 y #s(literal -1/8 binary64))) (pow.f64 y #s(literal -3/8 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1/2 binary64)))) (-.f64 #s(literal 0 binary64) z)) |
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) z)) (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1/2 binary64)))) |
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1/4 binary64)))) (*.f64 z (pow.f64 y #s(literal -1/4 binary64)))) |
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (pow.f64 y #s(literal -1/4 binary64))))) (pow.f64 y #s(literal -1/4 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1/4 binary64))) (*.f64 z (pow.f64 y #s(literal -1/4 binary64)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 z (pow.f64 y #s(literal -1/4 binary64)))) (pow.f64 y #s(literal -1/4 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1/8 binary64))) (*.f64 z (pow.f64 y #s(literal -3/8 binary64)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 z (pow.f64 y #s(literal -3/8 binary64)))) (pow.f64 y #s(literal -1/8 binary64))) |
(*.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1/4 binary64)))) (*.f64 z (pow.f64 y #s(literal -1/4 binary64)))) |
(*.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 z (pow.f64 y #s(literal -1/4 binary64))))) (pow.f64 y #s(literal -1/4 binary64))) |
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1/4 binary64)))) (pow.f64 y #s(literal -1/4 binary64))) |
(*.f64 (*.f64 (*.f64 z (pow.f64 y #s(literal -3/8 binary64))) (pow.f64 y #s(literal -1/16 binary64))) (pow.f64 y #s(literal -1/16 binary64))) |
(*.f64 (/.f64 z (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal -1/4 binary64))) |
(exp.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 y))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1/2 binary64))) (log.f64 y))) |
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1/2 binary64)))) |
(neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1/2 binary64)))) |
(/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 y)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1/2 binary64))) #s(literal -1 binary64)) |
(pow.f64 y #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 y #s(literal -1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 y y) #s(literal -1/4 binary64)) |
(pow.f64 (pow.f64 y #s(literal -1/8 binary64)) #s(literal 4 binary64)) |
(pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 y)) |
(pow.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1/8 binary64)) |
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 y #s(literal -1/4 binary64)) (pow.f64 y #s(literal -1/4 binary64))) |
(*.f64 (pow.f64 y #s(literal -1/4 binary64)) (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1/4 binary64))))) |
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1/2 binary64)))) |
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1/2 binary64))) #s(literal -1 binary64)) |
(*.f64 (pow.f64 y #s(literal -1/8 binary64)) (pow.f64 y #s(literal -3/8 binary64))) |
(*.f64 (pow.f64 y #s(literal -1/8 binary64)) (/.f64 (pow.f64 y #s(literal -3/8 binary64)) #s(literal 1 binary64))) |
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1/4 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1/4 binary64)))) |
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1/4 binary64))) (/.f64 (pow.f64 y #s(literal -1/4 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 y #s(literal -1/16 binary64)) (*.f64 (pow.f64 y #s(literal -1/16 binary64)) (pow.f64 y #s(literal -3/8 binary64)))) |
(*.f64 (pow.f64 y #s(literal -3/8 binary64)) (pow.f64 y #s(literal -1/8 binary64))) |
(*.f64 (pow.f64 y #s(literal -3/8 binary64)) (/.f64 (pow.f64 y #s(literal -1/8 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal -1/4 binary64)) (pow.f64 (sqrt.f64 y) #s(literal -1/4 binary64))) |
(*.f64 (pow.f64 (pow.f64 y #s(literal 3/4 binary64)) #s(literal -1/4 binary64)) (pow.f64 (pow.f64 y #s(literal 5/4 binary64)) #s(literal -1/4 binary64))) |
(*.f64 (pow.f64 (pow.f64 y #s(literal 1 binary64)) #s(literal -1/4 binary64)) (pow.f64 (pow.f64 y #s(literal 1 binary64)) #s(literal -1/4 binary64))) |
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1/4 binary64)))) (pow.f64 y #s(literal -1/4 binary64))) |
(*.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (/.f64 (log.f64 y) #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (/.f64 (log.f64 y) #s(literal 2 binary64)))) |
(*.f64 (*.f64 (pow.f64 y #s(literal -3/8 binary64)) (pow.f64 y #s(literal -1/16 binary64))) (pow.f64 y #s(literal -1/16 binary64))) |
| 1× | egg-herbie |
| 228× | fma-define |
| 200× | sum3-define |
| 82× | *-lowering-*.f32 |
| 82× | *-lowering-*.f64 |
| 80× | fma-lowering-fma.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 384 |
| 1 | 32 | 324 |
| 2 | 55 | 312 |
| 3 | 78 | 312 |
| 4 | 82 | 312 |
| 5 | 86 | 312 |
| 6 | 99 | 312 |
| 7 | 151 | 312 |
| 8 | 168 | 312 |
| 9 | 209 | 312 |
| 10 | 439 | 312 |
| 11 | 443 | 312 |
| 0 | 443 | 312 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(sqrt (pow y 3)) |
(sqrt (pow y 3)) |
(sqrt (pow y 3)) |
(sqrt (pow y 3)) |
(sqrt (pow y 3)) |
(sqrt (pow y 3)) |
(sqrt (pow y 3)) |
(sqrt (pow y 3)) |
(* (sqrt (pow y 3)) (pow (sqrt -1) 2)) |
(* (sqrt (pow y 3)) (pow (sqrt -1) 2)) |
(* (sqrt (pow y 3)) (pow (sqrt -1) 2)) |
(* (sqrt (pow y 3)) (pow (sqrt -1) 2)) |
(* (sqrt (/ 1 y)) z) |
(* (sqrt (/ 1 y)) z) |
(* (sqrt (/ 1 y)) z) |
(* (sqrt (/ 1 y)) z) |
(* (sqrt (/ 1 y)) z) |
(* (sqrt (/ 1 y)) z) |
(* (sqrt (/ 1 y)) z) |
(* (sqrt (/ 1 y)) z) |
(* (sqrt (/ 1 y)) z) |
(* (sqrt (/ 1 y)) z) |
(* (sqrt (/ 1 y)) z) |
(* (sqrt (/ 1 y)) z) |
(* (sqrt (/ 1 y)) z) |
(* (sqrt (/ 1 y)) z) |
(* (sqrt (/ 1 y)) z) |
(* (sqrt (/ 1 y)) z) |
(* (sqrt (/ 1 y)) z) |
(* (sqrt (/ 1 y)) z) |
(* (sqrt (/ 1 y)) z) |
(* (sqrt (/ 1 y)) z) |
(* (sqrt (/ 1 y)) (* z (pow (sqrt -1) 2))) |
(* (sqrt (/ 1 y)) (* z (pow (sqrt -1) 2))) |
(* (sqrt (/ 1 y)) (* z (pow (sqrt -1) 2))) |
(* (sqrt (/ 1 y)) (* z (pow (sqrt -1) 2))) |
(sqrt (/ 1 y)) |
(sqrt (/ 1 y)) |
(sqrt (/ 1 y)) |
(sqrt (/ 1 y)) |
(sqrt (/ 1 y)) |
(sqrt (/ 1 y)) |
(sqrt (/ 1 y)) |
(sqrt (/ 1 y)) |
(* (sqrt (/ 1 y)) (pow (sqrt -1) 2)) |
(* (sqrt (/ 1 y)) (pow (sqrt -1) 2)) |
(* (sqrt (/ 1 y)) (pow (sqrt -1) 2)) |
(* (sqrt (/ 1 y)) (pow (sqrt -1) 2)) |
| Outputs |
|---|
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(sqrt (pow y 3)) |
(sqrt.f64 (*.f64 y (*.f64 y y))) |
(sqrt (pow y 3)) |
(sqrt.f64 (*.f64 y (*.f64 y y))) |
(sqrt (pow y 3)) |
(sqrt.f64 (*.f64 y (*.f64 y y))) |
(sqrt (pow y 3)) |
(sqrt.f64 (*.f64 y (*.f64 y y))) |
(sqrt (pow y 3)) |
(sqrt.f64 (*.f64 y (*.f64 y y))) |
(sqrt (pow y 3)) |
(sqrt.f64 (*.f64 y (*.f64 y y))) |
(sqrt (pow y 3)) |
(sqrt.f64 (*.f64 y (*.f64 y y))) |
(sqrt (pow y 3)) |
(sqrt.f64 (*.f64 y (*.f64 y y))) |
(* (sqrt (pow y 3)) (pow (sqrt -1) 2)) |
(-.f64 #s(literal 0 binary64) (sqrt.f64 (*.f64 y (*.f64 y y)))) |
(* (sqrt (pow y 3)) (pow (sqrt -1) 2)) |
(-.f64 #s(literal 0 binary64) (sqrt.f64 (*.f64 y (*.f64 y y)))) |
(* (sqrt (pow y 3)) (pow (sqrt -1) 2)) |
(-.f64 #s(literal 0 binary64) (sqrt.f64 (*.f64 y (*.f64 y y)))) |
(* (sqrt (pow y 3)) (pow (sqrt -1) 2)) |
(-.f64 #s(literal 0 binary64) (sqrt.f64 (*.f64 y (*.f64 y y)))) |
(* (sqrt (/ 1 y)) z) |
(*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) |
(* (sqrt (/ 1 y)) z) |
(*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) |
(* (sqrt (/ 1 y)) z) |
(*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) |
(* (sqrt (/ 1 y)) z) |
(*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) |
(* (sqrt (/ 1 y)) z) |
(*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) |
(* (sqrt (/ 1 y)) z) |
(*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) |
(* (sqrt (/ 1 y)) z) |
(*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) |
(* (sqrt (/ 1 y)) z) |
(*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) |
(* (sqrt (/ 1 y)) z) |
(*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) |
(* (sqrt (/ 1 y)) z) |
(*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) |
(* (sqrt (/ 1 y)) z) |
(*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) |
(* (sqrt (/ 1 y)) z) |
(*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) |
(* (sqrt (/ 1 y)) z) |
(*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) |
(* (sqrt (/ 1 y)) z) |
(*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) |
(* (sqrt (/ 1 y)) z) |
(*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) |
(* (sqrt (/ 1 y)) z) |
(*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) |
(* (sqrt (/ 1 y)) z) |
(*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) |
(* (sqrt (/ 1 y)) z) |
(*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) |
(* (sqrt (/ 1 y)) z) |
(*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) |
(* (sqrt (/ 1 y)) z) |
(*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) |
(* (sqrt (/ 1 y)) (* z (pow (sqrt -1) 2))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 0 binary64) z)) |
(* (sqrt (/ 1 y)) (* z (pow (sqrt -1) 2))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 0 binary64) z)) |
(* (sqrt (/ 1 y)) (* z (pow (sqrt -1) 2))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 0 binary64) z)) |
(* (sqrt (/ 1 y)) (* z (pow (sqrt -1) 2))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 0 binary64) z)) |
(sqrt (/ 1 y)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) y)) |
(sqrt (/ 1 y)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) y)) |
(sqrt (/ 1 y)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) y)) |
(sqrt (/ 1 y)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) y)) |
(sqrt (/ 1 y)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) y)) |
(sqrt (/ 1 y)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) y)) |
(sqrt (/ 1 y)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) y)) |
(sqrt (/ 1 y)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) y)) |
(* (sqrt (/ 1 y)) (pow (sqrt -1) 2)) |
(-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) |
(* (sqrt (/ 1 y)) (pow (sqrt -1) 2)) |
(-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) |
(* (sqrt (/ 1 y)) (pow (sqrt -1) 2)) |
(-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) |
(* (sqrt (/ 1 y)) (pow (sqrt -1) 2)) |
(-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) |
Compiled 7277 to 1149 computations (84.2% saved)
7 alts after pruning (1 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 543 | 1 | 544 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 6 | 6 |
| Total | 544 | 7 | 551 |
| Status | Accuracy | Program |
|---|---|---|
| 51.0% | (/.f64 (pow.f64 y #s(literal 3/2 binary64)) (/.f64 z (sqrt.f64 y))) | |
| ✓ | 55.3% | (/.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) y)) |
| ✓ | 46.7% | (/.f64 (*.f64 y y) z) |
| ✓ | 55.4% | (/.f64 y (/.f64 z y)) |
| ✓ | 99.9% | (+.f64 x (*.f64 y (/.f64 y z))) |
| ✓ | 55.4% | (*.f64 (/.f64 y z) y) |
| ✓ | 47.1% | x |
Compiled 143 to 69 computations (51.7% saved)
| Inputs |
|---|
x |
(*.f64 (/.f64 y z) y) |
(/.f64 y (/.f64 z y)) |
(/.f64 (*.f64 y y) z) |
(+.f64 x (*.f64 y (/.f64 y z))) |
(+.f64 x (/.f64 (*.f64 y y) z)) |
(+.f64 (/.f64 y (/.f64 z y)) x) |
(/.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) y)) |
(+.f64 x (/.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) y))) |
(/.f64 (pow.f64 y #s(literal 3/2 binary64)) (/.f64 z (sqrt.f64 y))) |
(/.f64 (pow.f64 y #s(literal 3/2 binary64)) (*.f64 z (pow.f64 y #s(literal -1/2 binary64)))) |
(+.f64 x (/.f64 (/.f64 y z) (pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64)))) |
| Outputs |
|---|
(+.f64 x (*.f64 y (/.f64 y z))) |
6 calls:
| 5.0ms | (+.f64 x (/.f64 (*.f64 y y) z)) |
| 4.0ms | z |
| 4.0ms | x |
| 4.0ms | y |
| 4.0ms | (*.f64 y y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | x |
| 99.9% | 1 | y |
| 99.9% | 1 | z |
| 99.9% | 1 | (+.f64 x (/.f64 (*.f64 y y) z)) |
| 99.9% | 1 | (/.f64 (*.f64 y y) z) |
| 99.9% | 1 | (*.f64 y y) |
Compiled 36 to 24 computations (33.3% saved)
| Inputs |
|---|
x |
(*.f64 (/.f64 y z) y) |
(/.f64 y (/.f64 z y)) |
(/.f64 (*.f64 y y) z) |
| Outputs |
|---|
(/.f64 y (/.f64 z y)) |
x |
(*.f64 (/.f64 y z) y) |
5 calls:
| 4.0ms | z |
| 2.0ms | y |
| 2.0ms | x |
| 2.0ms | (*.f64 y y) |
| 2.0ms | (/.f64 (*.f64 y y) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 71.0% | 3 | x |
| 84.8% | 2 | y |
| 67.3% | 4 | z |
| 87.5% | 3 | (/.f64 (*.f64 y y) z) |
| 84.8% | 2 | (*.f64 y y) |
Compiled 26 to 18 computations (30.8% saved)
| Inputs |
|---|
x |
(*.f64 (/.f64 y z) y) |
| Outputs |
|---|
x |
(*.f64 (/.f64 y z) y) |
1 calls:
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.8% | 2 | y |
Compiled 4 to 3 computations (25% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
x |
| Outputs |
|---|
x |
3 calls:
| 1.0ms | x |
| 1.0ms | z |
| 1.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 47.1% | 1 | z |
| 47.1% | 1 | x |
| 47.1% | 1 | y |
Compiled 12 to 9 computations (25% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0471609933511847e-68 | 2.2482670828263063e-64 |
| 0.0ms | -1.8357889730556346e+154 | -1.3487977853837453e+117 |
Compiled 16 to 11 computations (31.3% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 1.634836215995252e+33 | 9.068734648462706e+35 |
| 8.0ms | 128× | 0 | valid |
Compiled 128 to 91 computations (28.9% saved)
ival-div: 1.0ms (34.6% of total)ival-add: 1.0ms (34.6% of total)ival-mult: 1.0ms (34.6% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 1× | egg-herbie |
| 2× | *-commutative_binary64 |
| 2× | +-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 45 |
| 1 | 23 | 45 |
| 1× | saturated |
| Inputs |
|---|
(+.f64 x (*.f64 y (/.f64 y z))) |
(if (<=.f64 (/.f64 (*.f64 y y) z) #s(literal -10000000000000000369475456880582265409809179829842688451922778552150543659347219597216513109705408327446511753687232667314337003349573404171046192448274432 binary64)) (/.f64 y (/.f64 z y)) (if (<=.f64 (/.f64 (*.f64 y y) z) #s(literal 4856672230564323/242833611528216133864932738352939863330300854881517440156476551217363035650651062272 binary64)) x (*.f64 (/.f64 y z) y))) |
(if (<=.f64 y #s(literal 1649999999999999881376093513449472 binary64)) x (*.f64 (/.f64 y z) y)) |
x |
| Outputs |
|---|
(+.f64 x (*.f64 y (/.f64 y z))) |
(if (<=.f64 (/.f64 (*.f64 y y) z) #s(literal -10000000000000000369475456880582265409809179829842688451922778552150543659347219597216513109705408327446511753687232667314337003349573404171046192448274432 binary64)) (/.f64 y (/.f64 z y)) (if (<=.f64 (/.f64 (*.f64 y y) z) #s(literal 4856672230564323/242833611528216133864932738352939863330300854881517440156476551217363035650651062272 binary64)) x (*.f64 (/.f64 y z) y))) |
(if (<=.f64 (/.f64 (*.f64 y y) z) #s(literal -10000000000000000369475456880582265409809179829842688451922778552150543659347219597216513109705408327446511753687232667314337003349573404171046192448274432 binary64)) (/.f64 y (/.f64 z y)) (if (<=.f64 (/.f64 (*.f64 y y) z) #s(literal 4856672230564323/242833611528216133864932738352939863330300854881517440156476551217363035650651062272 binary64)) x (*.f64 y (/.f64 y z)))) |
(if (<=.f64 y #s(literal 1649999999999999881376093513449472 binary64)) x (*.f64 (/.f64 y z) y)) |
(if (<=.f64 y #s(literal 1649999999999999881376093513449472 binary64)) x (*.f64 y (/.f64 y z))) |
x |
| 4074× | *-lowering-*.f32 |
| 4074× | *-lowering-*.f64 |
| 3934× | /-lowering-/.f32 |
| 3934× | /-lowering-/.f64 |
| 2162× | fnmadd-define |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 44 |
| 1 | 82 | 34 |
| 2 | 851 | 34 |
| 0 | 8513 | 34 |
| 0 | 6 | 6 |
| 1 | 10 | 6 |
| 2 | 12 | 6 |
| 3 | 13 | 6 |
| 0 | 13 | 6 |
| 0 | 24 | 782 |
| 1 | 63 | 660 |
| 2 | 165 | 660 |
| 3 | 538 | 660 |
| 4 | 2547 | 660 |
| 5 | 6449 | 660 |
| 0 | 8182 | 660 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
Compiled 178 to 100 computations (43.8% saved)
(abs y)
Compiled 176 to 86 computations (51.1% saved)
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