
Time bar (total: 6.2s)
| 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 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 3 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 4 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 5 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 6 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 7 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 8 |
| 93.8% | 93.7% | 6.2% | 0.1% | 0% | 0% | 0% | 9 |
| 93.8% | 93.7% | 6.2% | 0.1% | 0% | 0% | 0% | 10 |
| 96.9% | 96.8% | 3.1% | 0.1% | 0% | 0% | 0% | 11 |
| 96.9% | 96.8% | 3.1% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 10 to 7 computations (30% saved)
ival-mult: 3.0ms (55.1% of total)ival-div: 1.0ms (18.4% of total)ival-sub: 1.0ms (18.4% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 471.0ms | 8256× | 0 | valid |
ival-mult: 109.0ms (43.1% of total)ival-div: 70.0ms (27.7% of total)ival-sub: 58.0ms (22.9% of total)const: 13.0ms (5.1% of total)backward-pass: 3.0ms (1.2% of total)| 2× | egg-herbie |
| 1232× | fnmadd-define |
| 856× | fmsub-define |
| 848× | sum3-define |
| 808× | fnmsub-define |
| 730× | fma-define |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 40 |
| 1 | 50 | 38 |
| 2 | 121 | 36 |
| 3 | 327 | 36 |
| 4 | 894 | 36 |
| 5 | 2045 | 36 |
| 6 | 3257 | 36 |
| 7 | 3941 | 36 |
| 8 | 4051 | 36 |
| 9 | 4150 | 36 |
| 10 | 4210 | 36 |
| 11 | 4238 | 36 |
| 0 | 6 | 6 |
| 1 | 12 | 6 |
| 2 | 13 | 6 |
| 0 | 13 | 6 |
| 1× | iter limit |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
(- (/ x (* y y)) 3) |
| Outputs |
|---|
(- (/ x (* y y)) 3) |
(+.f64 (/.f64 (/.f64 x y) y) #s(literal -3 binary64)) |
| Inputs |
|---|
(- (/ x (* y y)) 3) |
(- (/ (neg x) (* y y)) 3) |
(- (/ x (* (neg y) (neg y))) 3) |
(neg (- (/ (neg x) (* y y)) 3)) |
(neg (- (/ x (* (neg y) (neg y))) 3)) |
(- (/ y (* x x)) 3) |
| Outputs |
|---|
(- (/ x (* y y)) 3) |
(fmsub x (square (recip y)) 3) |
(- (/ (neg x) (* y y)) 3) |
(fnmsub x (square (recip y)) 3) |
(- (/ x (* (neg y) (neg y))) 3) |
(fmsub x (square (recip y)) 3) |
(neg (- (/ (neg x) (* y y)) 3)) |
(fmsub x (square (recip y)) -3) |
(neg (- (/ x (* (neg y) (neg y))) 3)) |
(fnmsub x (square (recip y)) -3) |
(- (/ y (* x x)) 3) |
(+ (/ y (square x)) -3) |
(abs y)
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 44 | 0 | - | 2 | (-1.6885168822731062e-192 6.995764383439177e-159) | (/.f64 x (*.f64 y y)) |
| 0 | 0 | - | 0 | - | x |
| 0 | 0 | - | 0 | - | (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
| 0 | 0 | - | 0 | - | (*.f64 y y) |
| 0 | 0 | - | 0 | - | #s(literal 3 binary64) |
| 0 | 0 | - | 0 | - | y |
| 41.0ms | 512× | 0 | valid |
Compiled 51 to 20 computations (60.8% saved)
ival-div: 7.0ms (39% of total)ival-sub: 5.0ms (27.8% of total)ival-mult: 5.0ms (27.8% of total)const: 1.0ms (5.6% of total)backward-pass: 0.0ms (0% of total)Compiled 9 to 6 computations (33.3% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 90.9% | (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
| ▶ | 99.9% | (+.f64 (/.f64 (/.f64 x y) y) #s(literal -3 binary64)) |
Compiled 18 to 12 computations (33.3% saved)
| 1× | egg-herbie |
Found 6 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 y y) |
| ✓ | cost-diff | 0 | (/.f64 x (*.f64 y y)) |
| ✓ | cost-diff | 0 | (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 x y) |
| ✓ | cost-diff | 0 | (/.f64 (/.f64 x y) y) |
| ✓ | cost-diff | 0 | (+.f64 (/.f64 (/.f64 x y) y) #s(literal -3 binary64)) |
| 6× | /-lowering-/.f32 |
| 6× | /-lowering-/.f64 |
| 4× | +-lowering-+.f64 |
| 4× | +-lowering-+.f32 |
| 2× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 31 |
| 1 | 14 | 31 |
| 0 | 14 | 31 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(+ (/ (/ x y) y) -3) |
(/ (/ x y) y) |
(/ x y) |
x |
y |
-3 |
(- (/ x (* y y)) 3) |
(/ x (* y y)) |
x |
(* y y) |
y |
3 |
| Outputs |
|---|
(+ (/ (/ x y) y) -3) |
(+.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y))) |
(/ (/ x y) y) |
(/.f64 x (*.f64 y y)) |
(/ x y) |
(/.f64 x y) |
x |
y |
-3 |
#s(literal -3 binary64) |
(- (/ x (* y y)) 3) |
(+.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y))) |
(/ x (* y y)) |
(/.f64 x (*.f64 y y)) |
x |
(* y y) |
(*.f64 y y) |
y |
3 |
#s(literal 3 binary64) |
Found 6 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 y y) |
| ✓ | accuracy | 100.0% | (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
| ✓ | accuracy | 84.3% | (/.f64 x (*.f64 y y)) |
| ✓ | accuracy | 100.0% | (/.f64 x y) |
| ✓ | accuracy | 100.0% | (+.f64 (/.f64 (/.f64 x y) y) #s(literal -3 binary64)) |
| ✓ | accuracy | 99.9% | (/.f64 (/.f64 x y) y) |
| 36.0ms | 256× | 0 | valid |
Compiled 39 to 11 computations (71.8% saved)
ival-div: 6.0ms (53.2% of total)ival-mult: 2.0ms (17.7% of total)ival-sub: 1.0ms (8.9% of total)ival-add: 1.0ms (8.9% of total)const: 1.0ms (8.9% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+ (/ (/ x y) y) -3)> |
#<alt (/ (/ x y) y)> |
#<alt (/ x y)> |
#<alt (- (/ x (* y y)) 3)> |
#<alt (/ x (* y y))> |
#<alt (* y y)> |
| Outputs |
|---|
#<alt -3> |
#<alt (- (/ x (pow y 2)) 3)> |
#<alt (- (/ x (pow y 2)) 3)> |
#<alt (- (/ x (pow y 2)) 3)> |
#<alt (/ x (pow y 2))> |
#<alt (* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))> |
#<alt (* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))> |
#<alt (* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))> |
#<alt (/ x (pow y 2))> |
#<alt (* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))> |
#<alt (* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))> |
#<alt (* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))> |
#<alt (/ x (pow y 2))> |
#<alt (/ (+ x (* -3 (pow y 2))) (pow y 2))> |
#<alt (/ (+ x (* -3 (pow y 2))) (pow y 2))> |
#<alt (/ (+ x (* -3 (pow y 2))) (pow y 2))> |
#<alt -3> |
#<alt (- (/ x (pow y 2)) 3)> |
#<alt (- (/ x (pow y 2)) 3)> |
#<alt (- (/ x (pow y 2)) 3)> |
#<alt -3> |
#<alt (- (/ x (pow y 2)) 3)> |
#<alt (- (/ x (pow y 2)) 3)> |
#<alt (- (/ x (pow y 2)) 3)> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt -3> |
#<alt (- (/ x (pow y 2)) 3)> |
#<alt (- (/ x (pow y 2)) 3)> |
#<alt (- (/ x (pow y 2)) 3)> |
#<alt (/ x (pow y 2))> |
#<alt (* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))> |
#<alt (* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))> |
#<alt (* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))> |
#<alt (/ x (pow y 2))> |
#<alt (* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))> |
#<alt (* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))> |
#<alt (* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))> |
#<alt (/ x (pow y 2))> |
#<alt (/ (+ x (* -3 (pow y 2))) (pow y 2))> |
#<alt (/ (+ x (* -3 (pow y 2))) (pow y 2))> |
#<alt (/ (+ x (* -3 (pow y 2))) (pow y 2))> |
#<alt -3> |
#<alt (- (/ x (pow y 2)) 3)> |
#<alt (- (/ x (pow y 2)) 3)> |
#<alt (- (/ x (pow y 2)) 3)> |
#<alt -3> |
#<alt (- (/ x (pow y 2)) 3)> |
#<alt (- (/ x (pow y 2)) 3)> |
#<alt (- (/ x (pow y 2)) 3)> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (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)> |
#<alt (pow y 2)> |
33 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | inf | (/ x y) |
| 1.0ms | x | @ | inf | (+ (/ (/ x y) y) -3) |
| 1.0ms | x | @ | 0 | (+ (/ (/ x y) y) -3) |
| 0.0ms | x | @ | inf | (/ x y) |
| 0.0ms | x | @ | 0 | (/ (/ x y) y) |
| 1× | batch-egg-rewrite |
| 3202× | *-lowering-*.f32 |
| 3202× | *-lowering-*.f64 |
| 2228× | /-lowering-/.f32 |
| 2228× | /-lowering-/.f64 |
| 788× | fnmadd-define |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 25 |
| 1 | 67 | 25 |
| 2 | 518 | 25 |
| 3 | 7193 | 25 |
| 0 | 8030 | 25 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (/ (/ x y) y) -3) |
(/ (/ x y) y) |
(/ x y) |
(- (/ x (* y y)) 3) |
(/ x (* y y)) |
(* y y) |
| Outputs |
|---|
(+.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y))) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(+.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))) (+.f64 #s(literal 9 binary64) (/.f64 (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) (/.f64 y (/.f64 x y))))) (neg.f64 (/.f64 #s(literal 27 binary64) (+.f64 #s(literal 9 binary64) (/.f64 (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) (/.f64 y (/.f64 x y))))))) |
(+.f64 (/.f64 (/.f64 x y) (*.f64 (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) (/.f64 (*.f64 y (*.f64 y y)) x))) (neg.f64 (/.f64 #s(literal 9 binary64) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))))) |
(-.f64 #s(literal -3 binary64) (/.f64 (/.f64 x y) (-.f64 #s(literal 0 binary64) y))) |
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))) (+.f64 #s(literal 9 binary64) (/.f64 (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) (/.f64 y (/.f64 x y))))) (/.f64 #s(literal 27 binary64) (+.f64 #s(literal 9 binary64) (/.f64 (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) (/.f64 y (/.f64 x y)))))) |
(-.f64 (/.f64 (/.f64 x y) (*.f64 (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) (/.f64 (*.f64 y (*.f64 y y)) x))) (/.f64 #s(literal 9 binary64) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)))) |
(-.f64 (/.f64 #s(literal 9 binary64) (-.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y)))) (/.f64 (/.f64 (/.f64 x y) (/.f64 (*.f64 y (*.f64 y y)) x)) (-.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y))))) |
(fma.f64 x (/.f64 (/.f64 #s(literal 1 binary64) y) y) #s(literal -3 binary64)) |
(fma.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y) #s(literal -3 binary64)) |
(fma.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)) (/.f64 #s(literal -1 binary64) y) #s(literal -3 binary64)) |
(fma.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (/.f64 #s(literal -1 binary64) y) y) #s(literal -3 binary64)) |
(fma.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x y) #s(literal -3 binary64)) |
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) x #s(literal -3 binary64)) |
(neg.f64 (/.f64 (+.f64 #s(literal -27 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 9 binary64) (/.f64 (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) (/.f64 y (/.f64 x y))))))) |
(neg.f64 (/.f64 (+.f64 (/.f64 (/.f64 x y) (/.f64 (*.f64 y (*.f64 y y)) x)) #s(literal -9 binary64)) (-.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y))))) |
(neg.f64 (/.f64 (+.f64 #s(literal 27 binary64) (neg.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))))) (+.f64 #s(literal 9 binary64) (/.f64 (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) (/.f64 y (/.f64 x y)))))) |
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (/.f64 x y) (/.f64 (*.f64 y (*.f64 y y)) x)) #s(literal -9 binary64))) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)))) |
(/.f64 (+.f64 #s(literal -27 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))))) (+.f64 #s(literal 9 binary64) (/.f64 (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) (/.f64 y (/.f64 x y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y))) (-.f64 #s(literal 9 binary64) (/.f64 (/.f64 x y) (/.f64 (*.f64 y (*.f64 y y)) x))))) |
(/.f64 (+.f64 (/.f64 (/.f64 x y) (/.f64 (*.f64 y (*.f64 y y)) x)) #s(literal -9 binary64)) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y)))))) |
(/.f64 (+.f64 #s(literal 27 binary64) (neg.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 9 binary64) (/.f64 (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) (/.f64 y (/.f64 x y)))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (/.f64 x y) (/.f64 (*.f64 y (*.f64 y y)) x)) #s(literal -9 binary64))) (-.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y)))) |
(/.f64 (+.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))) (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))) (/.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 x (*.f64 x x))))) #s(literal -19683 binary64)) (*.f64 (+.f64 #s(literal 9 binary64) (/.f64 (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) (/.f64 y (/.f64 x y)))) (+.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))) (/.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 x (*.f64 x x)))) (-.f64 #s(literal 729 binary64) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -27 binary64)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))))))) |
(/.f64 (+.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))) (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))) (/.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 x (*.f64 x x))))) #s(literal -19683 binary64)) (*.f64 (+.f64 #s(literal 9 binary64) (/.f64 (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) (/.f64 y (/.f64 x y)))) (+.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))) (/.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 729 binary64) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))))))) |
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(/.f64 (-.f64 (*.f64 (/.f64 (/.f64 x y) (*.f64 (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) (/.f64 (*.f64 y (*.f64 y y)) x))) (/.f64 (/.f64 x y) (*.f64 (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) (/.f64 (*.f64 y (*.f64 y y)) x)))) (*.f64 (/.f64 #s(literal 9 binary64) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))) (/.f64 #s(literal 9 binary64) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))))) (+.f64 (/.f64 (/.f64 x y) (*.f64 (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) (/.f64 (*.f64 y (*.f64 y y)) x))) (/.f64 #s(literal 9 binary64) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))))) |
(/.f64 (*.f64 (+.f64 #s(literal -27 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))))) #s(literal 1 binary64)) (+.f64 #s(literal 9 binary64) (/.f64 (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) (/.f64 y (/.f64 x y))))) |
(/.f64 (*.f64 (+.f64 (/.f64 (/.f64 x y) (/.f64 (*.f64 y (*.f64 y y)) x)) #s(literal -9 binary64)) #s(literal 1 binary64)) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))) |
(/.f64 (*.f64 (+.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))) (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))) (/.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 x (*.f64 x x))))) #s(literal -19683 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9 binary64) (/.f64 (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) (/.f64 y (/.f64 x y)))))) (+.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))) (/.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 x (*.f64 x x)))) (-.f64 #s(literal 729 binary64) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -27 binary64)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))))))) |
(/.f64 (*.f64 (+.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))) (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))) (/.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 x (*.f64 x x))))) #s(literal -19683 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9 binary64) (/.f64 (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) (/.f64 y (/.f64 x y)))))) (+.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))) (/.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 729 binary64) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))))))) |
(/.f64 (*.f64 (+.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))) (/.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 x (*.f64 x x)))) #s(literal -729 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9 binary64) (/.f64 (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) (/.f64 y (/.f64 x y)))))) (+.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))) #s(literal 27 binary64))) |
(/.f64 (*.f64 (+.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))) (/.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 x (*.f64 x x)))) #s(literal -729 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)))) (+.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))) (/.f64 y (/.f64 x y))) (+.f64 #s(literal 81 binary64) (/.f64 (*.f64 (/.f64 x y) #s(literal 9 binary64)) (/.f64 (*.f64 y (*.f64 y y)) x))))) |
(/.f64 (*.f64 (+.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))) (/.f64 y (/.f64 x y))) #s(literal -81 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)))) (+.f64 #s(literal 9 binary64) (/.f64 (/.f64 x y) (/.f64 (*.f64 y (*.f64 y y)) x)))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y)))) #s(literal -1 binary64)) |
(*.f64 (+.f64 #s(literal -27 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9 binary64) (/.f64 (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) (/.f64 y (/.f64 x y)))))) |
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y)))) |
(*.f64 (+.f64 (/.f64 (/.f64 x y) (/.f64 (*.f64 y (*.f64 y y)) x)) #s(literal -9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)))) |
(*.f64 (+.f64 #s(literal 27 binary64) (neg.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 9 binary64) (/.f64 (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) (/.f64 y (/.f64 x y))))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (/.f64 x y) (/.f64 (*.f64 y (*.f64 y y)) x)) #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9 binary64) (/.f64 (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) (/.f64 y (/.f64 x y))))) (+.f64 #s(literal -27 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))) (+.f64 (/.f64 (/.f64 x y) (/.f64 (*.f64 y (*.f64 y y)) x)) #s(literal -9 binary64))) |
(*.f64 (-.f64 #s(literal 9 binary64) (/.f64 (/.f64 x y) (/.f64 (*.f64 y (*.f64 y y)) x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y))))) |
(*.f64 (/.f64 (+.f64 (/.f64 (/.f64 x y) (/.f64 (*.f64 y (*.f64 y y)) x)) #s(literal -9 binary64)) (+.f64 (/.f64 (/.f64 x y) (/.f64 (*.f64 y (*.f64 y y)) x)) #s(literal -9 binary64))) (+.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y)))) |
(*.f64 (/.f64 (+.f64 #s(literal -27 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))))) (+.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))) (/.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 #s(literal 9 binary64) (*.f64 x (/.f64 (/.f64 #s(literal 3 binary64) y) y))) (*.f64 (+.f64 #s(literal 9 binary64) (*.f64 x (/.f64 (/.f64 #s(literal 3 binary64) y) y))) (+.f64 #s(literal 9 binary64) (*.f64 x (/.f64 (/.f64 #s(literal 3 binary64) y) y))))))) (+.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))) (/.f64 y (/.f64 x y))) (*.f64 (+.f64 #s(literal 9 binary64) (*.f64 x (/.f64 (/.f64 #s(literal 3 binary64) y) y))) (-.f64 (+.f64 #s(literal 9 binary64) (*.f64 x (/.f64 (/.f64 #s(literal 3 binary64) y) y))) (/.f64 (/.f64 x y) (/.f64 (*.f64 y (*.f64 y y)) x)))))) |
(*.f64 (/.f64 (+.f64 #s(literal -27 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))))) (*.f64 (+.f64 #s(literal 9 binary64) (/.f64 (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) (/.f64 y (/.f64 x y)))) (-.f64 (/.f64 (/.f64 x y) (/.f64 (*.f64 y (*.f64 y y)) x)) (+.f64 #s(literal 9 binary64) (*.f64 x (/.f64 (/.f64 #s(literal 3 binary64) y) y)))))) (-.f64 (/.f64 (/.f64 x y) (/.f64 (*.f64 y (*.f64 y y)) x)) (+.f64 #s(literal 9 binary64) (*.f64 x (/.f64 (/.f64 #s(literal 3 binary64) y) y))))) |
(*.f64 (/.f64 (+.f64 (/.f64 (/.f64 x y) (/.f64 (*.f64 y (*.f64 y y)) x)) #s(literal -9 binary64)) (+.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))) #s(literal 27 binary64))) (+.f64 (/.f64 (/.f64 x y) (/.f64 (*.f64 y (*.f64 y y)) x)) (-.f64 #s(literal 9 binary64) (*.f64 x (/.f64 (/.f64 #s(literal 3 binary64) y) y))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 y (/.f64 x y))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 x y) (-.f64 #s(literal 0 binary64) y))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) y)) (/.f64 (/.f64 x y) (-.f64 #s(literal 0 binary64) y))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 y y))) (/.f64 (/.f64 x y) (-.f64 #s(literal 0 binary64) y))) |
(neg.f64 (/.f64 (/.f64 x y) (-.f64 #s(literal 0 binary64) y))) |
(neg.f64 (*.f64 (/.f64 (/.f64 x y) (-.f64 #s(literal 0 binary64) y)) #s(literal 1 binary64))) |
(/.f64 x (*.f64 y y)) |
(/.f64 (/.f64 x y) y) |
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)) (-.f64 #s(literal 0 binary64) y)) |
(/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 y y))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x y))) |
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) |
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal -1 binary64) (/.f64 y (-.f64 #s(literal 0 binary64) (/.f64 x y)))) |
(/.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 #s(literal 0 binary64) (/.f64 y x))) |
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)) (*.f64 y y)) |
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)) #s(literal -1 binary64)) y) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 y x))) |
(pow.f64 (/.f64 y (/.f64 x y)) #s(literal -1 binary64)) |
(*.f64 x (/.f64 (/.f64 #s(literal 1 binary64) y) y)) |
(*.f64 x (*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) y))) |
(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 x (*.f64 y y)) #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)) (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))) |
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (/.f64 #s(literal -1 binary64) y) y)) |
(*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) y))) |
(*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) y) #s(literal 1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y y))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x y)) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 x y) (-.f64 #s(literal 0 binary64) y))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 #s(literal 0 binary64) (/.f64 x y))) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) y) (-.f64 #s(literal 0 binary64) x)) |
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) y) y)) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) y)) |
(*.f64 (pow.f64 (/.f64 y (/.f64 x y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y (/.f64 x y)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (/.f64 x y)) |
(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))) |
(/.f64 (*.f64 y y) #s(literal 1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) y)) |
(pow.f64 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 (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))) |
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -1 binary64)) y) |
| 1× | egg-herbie |
| 1876× | fnmadd-define |
| 1640× | fma-define |
| 1398× | fmsub-define |
| 1276× | fma-lowering-fma.f32 |
| 1276× | fma-lowering-fma.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 636 |
| 1 | 48 | 534 |
| 2 | 112 | 534 |
| 3 | 281 | 534 |
| 4 | 634 | 534 |
| 5 | 1123 | 534 |
| 6 | 2003 | 534 |
| 7 | 3275 | 534 |
| 8 | 5549 | 534 |
| 9 | 7349 | 534 |
| 0 | 8100 | 534 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
-3 |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(/ x (pow y 2)) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(/ x (pow y 2)) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(/ x (pow y 2)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
-3 |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
-3 |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
-3 |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(/ x (pow y 2)) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(/ x (pow y 2)) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(/ x (pow y 2)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
-3 |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
-3 |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (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) |
(pow y 2) |
| Outputs |
|---|
-3 |
#s(literal -3 binary64) |
(- (/ x (pow y 2)) 3) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(- (/ x (pow y 2)) 3) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(- (/ x (pow y 2)) 3) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
-3 |
#s(literal -3 binary64) |
(- (/ x (pow y 2)) 3) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(- (/ x (pow y 2)) 3) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(- (/ x (pow y 2)) 3) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
-3 |
#s(literal -3 binary64) |
(- (/ x (pow y 2)) 3) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(- (/ x (pow y 2)) 3) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(- (/ x (pow y 2)) 3) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
-3 |
#s(literal -3 binary64) |
(- (/ x (pow y 2)) 3) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(- (/ x (pow y 2)) 3) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(- (/ x (pow y 2)) 3) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
-3 |
#s(literal -3 binary64) |
(- (/ x (pow y 2)) 3) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(- (/ x (pow y 2)) 3) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(- (/ x (pow y 2)) 3) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
-3 |
#s(literal -3 binary64) |
(- (/ x (pow y 2)) 3) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(- (/ x (pow y 2)) 3) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(- (/ x (pow y 2)) 3) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.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) |
(pow y 2) |
(*.f64 y y) |
Compiled 8010 to 470 computations (94.1% saved)
8 alts after pruning (7 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 369 | 7 | 376 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 1 | 2 |
| Done | 0 | 0 | 0 |
| Total | 370 | 8 | 378 |
| Status | Accuracy | Program |
|---|---|---|
| 50.8% | (/.f64 (-.f64 #s(literal 9 binary64) (/.f64 (/.f64 x y) (/.f64 (*.f64 y (*.f64 y y)) x))) (-.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y)))) | |
| ▶ | 49.1% | (/.f64 x (*.f64 y y)) |
| ▶ | 99.8% | (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) #s(literal 3 binary64)) |
| 50.8% | (-.f64 (/.f64 #s(literal 9 binary64) (-.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y)))) (/.f64 (/.f64 (/.f64 x y) (/.f64 (*.f64 y (*.f64 y y)) x)) (-.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y))))) | |
| ▶ | 99.8% | (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x y))) #s(literal 3 binary64)) |
| ▶ | 90.4% | (-.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) x) #s(literal 3 binary64)) |
| ✓ | 99.9% | (+.f64 (/.f64 (/.f64 x y) y) #s(literal -3 binary64)) |
| ▶ | 43.3% | #s(literal -3 binary64) |
Compiled 203 to 122 computations (39.9% saved)
| 1× | egg-herbie |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 y x) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) y) |
| ✓ | cost-diff | 128 | (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) |
| ✓ | cost-diff | 128 | (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) #s(literal 3 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) y) |
| ✓ | cost-diff | 0 | (/.f64 (/.f64 #s(literal 1 binary64) y) y) |
| ✓ | cost-diff | 128 | (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) x) |
| ✓ | cost-diff | 128 | (-.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) x) #s(literal 3 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 y y) |
| ✓ | cost-diff | 0 | (/.f64 x (*.f64 y y)) |
| ✓ | cost-diff | 0 | (/.f64 x y) |
| ✓ | cost-diff | 0 | (/.f64 y (/.f64 x y)) |
| ✓ | cost-diff | 128 | (/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x y))) |
| ✓ | cost-diff | 128 | (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x y))) #s(literal 3 binary64)) |
| 40× | *-lowering-*.f32 |
| 40× | *-lowering-*.f64 |
| 36× | /-lowering-/.f32 |
| 36× | /-lowering-/.f64 |
| 28× | fmsub-define |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 81 |
| 1 | 36 | 72 |
| 2 | 56 | 68 |
| 3 | 63 | 68 |
| 4 | 98 | 68 |
| 5 | 127 | 68 |
| 0 | 127 | 68 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(- (/ 1 (/ y (/ x y))) 3) |
(/ 1 (/ y (/ x y))) |
1 |
(/ y (/ x y)) |
y |
(/ x y) |
x |
3 |
-3 |
(/ x (* y y)) |
x |
(* y y) |
y |
(- (* (/ (/ 1 y) y) x) 3) |
(* (/ (/ 1 y) y) x) |
(/ (/ 1 y) y) |
(/ 1 y) |
1 |
y |
x |
3 |
(- (/ (/ 1 y) (/ y x)) 3) |
(/ (/ 1 y) (/ y x)) |
(/ 1 y) |
1 |
y |
(/ y x) |
x |
3 |
| Outputs |
|---|
(- (/ 1 (/ y (/ x y))) 3) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(/ 1 (/ y (/ x y))) |
(/.f64 x (*.f64 y y)) |
1 |
#s(literal 1 binary64) |
(/ y (/ x y)) |
(/.f64 y (/.f64 x y)) |
y |
(/ x y) |
(/.f64 x y) |
x |
3 |
#s(literal 3 binary64) |
-3 |
#s(literal -3 binary64) |
(/ x (* y y)) |
(/.f64 x (*.f64 y y)) |
x |
(* y y) |
(*.f64 y y) |
y |
(- (* (/ (/ 1 y) y) x) 3) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(* (/ (/ 1 y) y) x) |
(/.f64 x (*.f64 y y)) |
(/ (/ 1 y) y) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
1 |
#s(literal 1 binary64) |
y |
x |
3 |
#s(literal 3 binary64) |
(- (/ (/ 1 y) (/ y x)) 3) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(/ (/ 1 y) (/ y x)) |
(/.f64 x (*.f64 y y)) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
1 |
#s(literal 1 binary64) |
y |
(/ y x) |
(/.f64 y x) |
x |
3 |
#s(literal 3 binary64) |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (/.f64 y x) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) y) |
| ✓ | accuracy | 100.0% | (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) #s(literal 3 binary64)) |
| ✓ | accuracy | 99.7% | (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) y) |
| ✓ | accuracy | 100.0% | (-.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) x) #s(literal 3 binary64)) |
| ✓ | accuracy | 99.8% | (/.f64 (/.f64 #s(literal 1 binary64) y) y) |
| ✓ | accuracy | 84.2% | (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) x) |
| ✓ | accuracy | 100.0% | (*.f64 y y) |
| ✓ | accuracy | 84.3% | (/.f64 x (*.f64 y y)) |
| ✓ | accuracy | 100.0% | (/.f64 x y) |
| ✓ | accuracy | 100.0% | (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x y))) #s(literal 3 binary64)) |
| ✓ | accuracy | 99.8% | (/.f64 y (/.f64 x y)) |
| ✓ | accuracy | 99.6% | (/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x y))) |
| 53.0ms | 256× | 0 | valid |
Compiled 96 to 19 computations (80.2% saved)
ival-div: 14.0ms (58.4% of total)ival-sub: 5.0ms (20.9% of total)ival-mult: 4.0ms (16.7% of total)const: 1.0ms (4.2% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (- (/ 1 (/ y (/ x y))) 3)> |
#<alt (/ 1 (/ y (/ x y)))> |
#<alt (/ y (/ x y))> |
#<alt (/ x y)> |
#<alt (/ x (* y y))> |
#<alt (* y y)> |
#<alt (- (* (/ (/ 1 y) y) x) 3)> |
#<alt (* (/ (/ 1 y) y) x)> |
#<alt (/ (/ 1 y) y)> |
#<alt (/ 1 y)> |
#<alt (- (/ (/ 1 y) (/ y x)) 3)> |
#<alt (/ (/ 1 y) (/ y x))> |
#<alt (/ y x)> |
| Outputs |
|---|
#<alt (/ x (pow y 2))> |
#<alt (/ (+ x (* -3 (pow y 2))) (pow y 2))> |
#<alt (/ (+ x (* -3 (pow y 2))) (pow y 2))> |
#<alt (/ (+ x (* -3 (pow y 2))) (pow y 2))> |
#<alt -3> |
#<alt (- (/ x (pow y 2)) 3)> |
#<alt (- (/ x (pow y 2)) 3)> |
#<alt (- (/ x (pow y 2)) 3)> |
#<alt -3> |
#<alt (- (/ x (pow y 2)) 3)> |
#<alt (- (/ x (pow y 2)) 3)> |
#<alt (- (/ x (pow y 2)) 3)> |
#<alt -3> |
#<alt (- (/ x (pow y 2)) 3)> |
#<alt (- (/ x (pow y 2)) 3)> |
#<alt (- (/ x (pow y 2)) 3)> |
#<alt (/ x (pow y 2))> |
#<alt (* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))> |
#<alt (* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))> |
#<alt (* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))> |
#<alt (/ x (pow y 2))> |
#<alt (* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))> |
#<alt (* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))> |
#<alt (* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ (pow y 2) x)> |
#<alt (/ (pow y 2) x)> |
#<alt (/ (pow y 2) x)> |
#<alt (/ (pow y 2) x)> |
#<alt (/ (pow y 2) x)> |
#<alt (/ (pow y 2) x)> |
#<alt (/ (pow y 2) x)> |
#<alt (/ (pow y 2) x)> |
#<alt (/ (pow y 2) x)> |
#<alt (/ (pow y 2) x)> |
#<alt (/ (pow y 2) x)> |
#<alt (/ (pow y 2) x)> |
#<alt (/ (pow y 2) x)> |
#<alt (/ (pow y 2) x)> |
#<alt (/ (pow y 2) x)> |
#<alt (/ (pow y 2) x)> |
#<alt (/ (pow y 2) x)> |
#<alt (/ (pow y 2) x)> |
#<alt (/ (pow y 2) x)> |
#<alt (/ (pow y 2) x)> |
#<alt (/ (pow y 2) x)> |
#<alt (/ (pow y 2) x)> |
#<alt (/ (pow y 2) x)> |
#<alt (/ (pow y 2) x)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (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)> |
#<alt (pow y 2)> |
#<alt (/ x (pow y 2))> |
#<alt (/ (+ x (* -3 (pow y 2))) (pow y 2))> |
#<alt (/ (+ x (* -3 (pow y 2))) (pow y 2))> |
#<alt (/ (+ x (* -3 (pow y 2))) (pow y 2))> |
#<alt -3> |
#<alt (- (/ x (pow y 2)) 3)> |
#<alt (- (/ x (pow y 2)) 3)> |
#<alt (- (/ x (pow y 2)) 3)> |
#<alt -3> |
#<alt (- (/ x (pow y 2)) 3)> |
#<alt (- (/ x (pow y 2)) 3)> |
#<alt (- (/ x (pow y 2)) 3)> |
#<alt -3> |
#<alt (- (/ x (pow y 2)) 3)> |
#<alt (- (/ x (pow y 2)) 3)> |
#<alt (- (/ x (pow y 2)) 3)> |
#<alt (/ x (pow y 2))> |
#<alt (* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))> |
#<alt (* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))> |
#<alt (* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))> |
#<alt (/ x (pow y 2))> |
#<alt (* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))> |
#<alt (* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))> |
#<alt (* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ 1 (pow y 2))> |
#<alt (/ 1 (pow y 2))> |
#<alt (/ 1 (pow y 2))> |
#<alt (/ 1 (pow y 2))> |
#<alt (/ 1 (pow y 2))> |
#<alt (/ 1 (pow y 2))> |
#<alt (/ 1 (pow y 2))> |
#<alt (/ 1 (pow y 2))> |
#<alt (/ 1 (pow y 2))> |
#<alt (/ 1 (pow y 2))> |
#<alt (/ 1 (pow y 2))> |
#<alt (/ 1 (pow y 2))> |
#<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 (pow y 2))> |
#<alt (/ (+ x (* -3 (pow y 2))) (pow y 2))> |
#<alt (/ (+ x (* -3 (pow y 2))) (pow y 2))> |
#<alt (/ (+ x (* -3 (pow y 2))) (pow y 2))> |
#<alt -3> |
#<alt (- (/ x (pow y 2)) 3)> |
#<alt (- (/ x (pow y 2)) 3)> |
#<alt (- (/ x (pow y 2)) 3)> |
#<alt -3> |
#<alt (- (/ x (pow y 2)) 3)> |
#<alt (- (/ x (pow y 2)) 3)> |
#<alt (- (/ x (pow y 2)) 3)> |
#<alt -3> |
#<alt (- (/ x (pow y 2)) 3)> |
#<alt (- (/ x (pow y 2)) 3)> |
#<alt (- (/ x (pow y 2)) 3)> |
#<alt (/ x (pow y 2))> |
#<alt (* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))> |
#<alt (* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))> |
#<alt (* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))> |
#<alt (/ x (pow y 2))> |
#<alt (* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))> |
#<alt (* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))> |
#<alt (* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
69 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | 0 | (/ y (/ x y)) |
| 0.0ms | y | @ | -inf | (/ y x) |
| 0.0ms | x | @ | 0 | (/ y (/ x y)) |
| 0.0ms | x | @ | -inf | (/ y x) |
| 0.0ms | x | @ | 0 | (/ y x) |
| 1× | batch-egg-rewrite |
| 3732× | *-lowering-*.f32 |
| 3732× | *-lowering-*.f64 |
| 2170× | /-lowering-/.f32 |
| 2170× | /-lowering-/.f64 |
| 1358× | fnmadd-define |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 53 |
| 1 | 119 | 51 |
| 2 | 899 | 51 |
| 3 | 7221 | 51 |
| 0 | 8418 | 51 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (/ 1 (/ y (/ x y))) 3) |
(/ 1 (/ y (/ x y))) |
(/ y (/ x y)) |
(/ x y) |
(/ x (* y y)) |
(* y y) |
(- (* (/ (/ 1 y) y) x) 3) |
(* (/ (/ 1 y) y) x) |
(/ (/ 1 y) y) |
(/ 1 y) |
(- (/ (/ 1 y) (/ y x)) 3) |
(/ (/ 1 y) (/ y x)) |
(/ y x) |
| Outputs |
|---|
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(+.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y))) |
(+.f64 (/.f64 (/.f64 (/.f64 x (*.f64 y y)) (/.f64 (/.f64 y (/.f64 x y)) (/.f64 x (*.f64 y y)))) (+.f64 #s(literal 9 binary64) (+.f64 (/.f64 #s(literal 3 binary64) (/.f64 y (/.f64 x y))) (/.f64 (/.f64 x y) (*.f64 y (/.f64 y (/.f64 x y))))))) (neg.f64 (/.f64 #s(literal 27 binary64) (+.f64 #s(literal 9 binary64) (+.f64 (/.f64 #s(literal 3 binary64) (/.f64 y (/.f64 x y))) (/.f64 (/.f64 x y) (*.f64 y (/.f64 y (/.f64 x y))))))))) |
(+.f64 (/.f64 (/.f64 (/.f64 x y) (*.f64 y (/.f64 y (/.f64 x y)))) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))) (neg.f64 (/.f64 #s(literal 9 binary64) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))))) |
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
(-.f64 #s(literal -3 binary64) (*.f64 x (/.f64 (/.f64 #s(literal -1 binary64) y) y))) |
(-.f64 (/.f64 (/.f64 (/.f64 x (*.f64 y y)) (/.f64 (/.f64 y (/.f64 x y)) (/.f64 x (*.f64 y y)))) (+.f64 #s(literal 9 binary64) (+.f64 (/.f64 #s(literal 3 binary64) (/.f64 y (/.f64 x y))) (/.f64 (/.f64 x y) (*.f64 y (/.f64 y (/.f64 x y))))))) (/.f64 #s(literal 27 binary64) (+.f64 #s(literal 9 binary64) (+.f64 (/.f64 #s(literal 3 binary64) (/.f64 y (/.f64 x y))) (/.f64 (/.f64 x y) (*.f64 y (/.f64 y (/.f64 x y)))))))) |
(-.f64 (/.f64 (/.f64 (/.f64 x y) (*.f64 y (/.f64 y (/.f64 x y)))) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))) (/.f64 #s(literal 9 binary64) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)))) |
(-.f64 (/.f64 (/.f64 (/.f64 x (*.f64 y y)) (/.f64 (/.f64 y (/.f64 x y)) (/.f64 x (*.f64 y y)))) (-.f64 (+.f64 #s(literal 9 binary64) (/.f64 (/.f64 x y) (*.f64 y (/.f64 y (/.f64 x y))))) (*.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)))) (/.f64 #s(literal 27 binary64) (-.f64 (+.f64 #s(literal 9 binary64) (/.f64 (/.f64 x y) (*.f64 y (/.f64 y (/.f64 x y))))) (*.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(fma.f64 x (/.f64 (/.f64 #s(literal 1 binary64) y) y) #s(literal -3 binary64)) |
(fma.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y) #s(literal -3 binary64)) |
(fma.f64 (/.f64 x (*.f64 y y)) #s(literal 1 binary64) #s(literal -3 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x y) #s(literal -3 binary64)) |
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) x #s(literal -3 binary64)) |
(fma.f64 #s(literal -1 binary64) (*.f64 x (/.f64 (/.f64 #s(literal -1 binary64) y) y)) #s(literal -3 binary64)) |
(fma.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (/.f64 #s(literal -1 binary64) y) y) #s(literal -3 binary64)) |
(fma.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 #s(literal 0 binary64) (/.f64 x y)) #s(literal -3 binary64)) |
(fma.f64 (pow.f64 (/.f64 y (/.f64 x y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y (/.f64 x y)) #s(literal -1/2 binary64)) #s(literal -3 binary64)) |
(fma.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) y) (-.f64 #s(literal 0 binary64) x) #s(literal -3 binary64)) |
(neg.f64 (/.f64 (+.f64 (/.f64 (/.f64 x (*.f64 y y)) (/.f64 (/.f64 y (/.f64 x y)) (/.f64 x (*.f64 y y)))) #s(literal -27 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 9 binary64) (+.f64 (/.f64 #s(literal 3 binary64) (/.f64 y (/.f64 x y))) (/.f64 (/.f64 x y) (*.f64 y (/.f64 y (/.f64 x y))))))))) |
(neg.f64 (/.f64 (+.f64 (/.f64 (/.f64 x y) (*.f64 y (/.f64 y (/.f64 x y)))) #s(literal -9 binary64)) (+.f64 #s(literal -3 binary64) (*.f64 x (/.f64 (/.f64 #s(literal -1 binary64) y) y))))) |
(neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (/.f64 x (*.f64 y y)) (/.f64 (/.f64 y (/.f64 x y)) (/.f64 x (*.f64 y y))))) #s(literal 27 binary64)) (+.f64 #s(literal 9 binary64) (+.f64 (/.f64 #s(literal 3 binary64) (/.f64 y (/.f64 x y))) (/.f64 (/.f64 x y) (*.f64 y (/.f64 y (/.f64 x y)))))))) |
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (/.f64 x y) (*.f64 y (/.f64 y (/.f64 x y)))) #s(literal -9 binary64))) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 #s(literal 9 binary64) (/.f64 (/.f64 x y) (*.f64 y (/.f64 y (/.f64 x y))))) (*.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))) (+.f64 (/.f64 (/.f64 x (*.f64 y y)) (/.f64 (/.f64 y (/.f64 x y)) (/.f64 x (*.f64 y y)))) #s(literal -27 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))))) |
(/.f64 (+.f64 (/.f64 (/.f64 x (*.f64 y y)) (/.f64 (/.f64 y (/.f64 x y)) (/.f64 x (*.f64 y y)))) #s(literal -27 binary64)) (+.f64 #s(literal 9 binary64) (+.f64 (/.f64 #s(literal 3 binary64) (/.f64 y (/.f64 x y))) (/.f64 (/.f64 x y) (*.f64 y (/.f64 y (/.f64 x y))))))) |
(/.f64 (+.f64 (/.f64 (/.f64 x (*.f64 y y)) (/.f64 (/.f64 y (/.f64 x y)) (/.f64 x (*.f64 y y)))) #s(literal -27 binary64)) (-.f64 (+.f64 #s(literal 9 binary64) (/.f64 (/.f64 x y) (*.f64 y (/.f64 y (/.f64 x y))))) (*.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)))) |
(/.f64 (+.f64 (/.f64 (/.f64 x (*.f64 y y)) (/.f64 (/.f64 y (/.f64 x y)) (/.f64 x (*.f64 y y)))) #s(literal -27 binary64)) (+.f64 #s(literal 9 binary64) (-.f64 (/.f64 (/.f64 x y) (*.f64 y (/.f64 y (/.f64 x y)))) (*.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))))) |
(/.f64 (+.f64 (/.f64 (/.f64 x y) (*.f64 y (/.f64 y (/.f64 x y)))) #s(literal -9 binary64)) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))) |
(/.f64 (+.f64 (neg.f64 (/.f64 (/.f64 x (*.f64 y y)) (/.f64 (/.f64 y (/.f64 x y)) (/.f64 x (*.f64 y y))))) #s(literal 27 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 9 binary64) (+.f64 (/.f64 #s(literal 3 binary64) (/.f64 y (/.f64 x y))) (/.f64 (/.f64 x y) (*.f64 y (/.f64 y (/.f64 x y)))))))) |
(/.f64 (+.f64 (neg.f64 (/.f64 (/.f64 x (*.f64 y y)) (/.f64 (/.f64 y (/.f64 x y)) (/.f64 x (*.f64 y y))))) #s(literal 27 binary64)) (neg.f64 (-.f64 (+.f64 #s(literal 9 binary64) (/.f64 (/.f64 x y) (*.f64 y (/.f64 y (/.f64 x y))))) (*.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (/.f64 x y) (*.f64 y (/.f64 y (/.f64 x y)))) #s(literal -9 binary64))) (+.f64 #s(literal -3 binary64) (*.f64 x (/.f64 (/.f64 #s(literal -1 binary64) y) y)))) |
(/.f64 (+.f64 (/.f64 (/.f64 (/.f64 x (*.f64 y y)) (/.f64 (/.f64 y (/.f64 x y)) (/.f64 x (*.f64 y y)))) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 x (*.f64 x x)))) #s(literal -729 binary64)) (*.f64 (+.f64 #s(literal 9 binary64) (+.f64 (/.f64 #s(literal 3 binary64) (/.f64 y (/.f64 x y))) (/.f64 (/.f64 x y) (*.f64 y (/.f64 y (/.f64 x y)))))) (+.f64 #s(literal 27 binary64) (/.f64 (/.f64 x (*.f64 y y)) (/.f64 (/.f64 y (/.f64 x y)) (/.f64 x (*.f64 y y))))))) |
(/.f64 (+.f64 (/.f64 (/.f64 (/.f64 x (*.f64 y y)) (/.f64 (/.f64 y (/.f64 x y)) (/.f64 x (*.f64 y y)))) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 x (*.f64 x x)))) #s(literal -729 binary64)) (*.f64 (-.f64 (+.f64 #s(literal 9 binary64) (/.f64 (/.f64 x y) (*.f64 y (/.f64 y (/.f64 x y))))) (*.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))) (+.f64 #s(literal 27 binary64) (/.f64 (/.f64 x (*.f64 y y)) (/.f64 (/.f64 y (/.f64 x y)) (/.f64 x (*.f64 y y))))))) |
(/.f64 (+.f64 (/.f64 (/.f64 (/.f64 x (*.f64 y y)) (/.f64 (/.f64 y (/.f64 x y)) (/.f64 x (*.f64 y y)))) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 x (*.f64 x x)))) #s(literal -729 binary64)) (*.f64 (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) (+.f64 (/.f64 (/.f64 (/.f64 x y) (*.f64 y (/.f64 y (/.f64 x y)))) (/.f64 (/.f64 y (/.f64 x y)) (/.f64 x (*.f64 y y)))) (+.f64 #s(literal 81 binary64) (*.f64 #s(literal 9 binary64) (/.f64 (/.f64 x y) (*.f64 y (/.f64 y (/.f64 x y))))))))) |
(/.f64 (+.f64 (*.f64 (/.f64 (/.f64 x (*.f64 y y)) (/.f64 (/.f64 y (/.f64 x y)) (/.f64 x (*.f64 y y)))) (/.f64 (/.f64 (/.f64 x (*.f64 y y)) (/.f64 (/.f64 y (/.f64 x y)) (/.f64 x (*.f64 y y)))) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 x (*.f64 x x))))) #s(literal -19683 binary64)) (*.f64 (+.f64 #s(literal 9 binary64) (+.f64 (/.f64 #s(literal 3 binary64) (/.f64 y (/.f64 x y))) (/.f64 (/.f64 x y) (*.f64 y (/.f64 y (/.f64 x y)))))) (+.f64 (+.f64 (/.f64 (/.f64 (/.f64 x (*.f64 y y)) (/.f64 (/.f64 y (/.f64 x y)) (/.f64 x (*.f64 y y)))) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 x (*.f64 x x)))) #s(literal 729 binary64)) (/.f64 #s(literal 27 binary64) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 x (*.f64 x x))))))) |
(/.f64 (+.f64 (*.f64 (/.f64 (/.f64 x (*.f64 y y)) (/.f64 (/.f64 y (/.f64 x y)) (/.f64 x (*.f64 y y)))) (/.f64 (/.f64 (/.f64 x (*.f64 y y)) (/.f64 (/.f64 y (/.f64 x y)) (/.f64 x (*.f64 y y)))) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 x (*.f64 x x))))) #s(literal -19683 binary64)) (*.f64 (-.f64 (+.f64 #s(literal 9 binary64) (/.f64 (/.f64 x y) (*.f64 y (/.f64 y (/.f64 x y))))) (*.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))) (+.f64 (+.f64 (/.f64 (/.f64 (/.f64 x (*.f64 y y)) (/.f64 (/.f64 y (/.f64 x y)) (/.f64 x (*.f64 y y)))) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 x (*.f64 x x)))) #s(literal 729 binary64)) (/.f64 #s(literal 27 binary64) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 x (*.f64 x x))))))) |
(/.f64 (+.f64 (/.f64 (/.f64 (/.f64 x y) (*.f64 y (/.f64 y (/.f64 x y)))) (/.f64 (/.f64 y (/.f64 x y)) (/.f64 x (*.f64 y y)))) #s(literal -81 binary64)) (*.f64 (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) (+.f64 #s(literal 9 binary64) (/.f64 (/.f64 x y) (*.f64 y (/.f64 y (/.f64 x y))))))) |
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(*.f64 (/.f64 (+.f64 (/.f64 (/.f64 x y) (*.f64 y (/.f64 y (/.f64 x y)))) #s(literal -9 binary64)) (+.f64 (/.f64 (/.f64 x y) (*.f64 y (/.f64 y (/.f64 x y)))) #s(literal -9 binary64))) (+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))) |
(*.f64 (/.f64 (+.f64 (/.f64 (/.f64 x (*.f64 y y)) (/.f64 (/.f64 y (/.f64 x y)) (/.f64 x (*.f64 y y)))) #s(literal -27 binary64)) (+.f64 (/.f64 (/.f64 (/.f64 x (*.f64 y y)) (/.f64 (/.f64 y (/.f64 x y)) (/.f64 x (*.f64 y y)))) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 #s(literal 9 binary64) (/.f64 #s(literal 3 binary64) (/.f64 y (/.f64 x y)))) (*.f64 (+.f64 #s(literal 9 binary64) (/.f64 #s(literal 3 binary64) (/.f64 y (/.f64 x y)))) (+.f64 #s(literal 9 binary64) (/.f64 #s(literal 3 binary64) (/.f64 y (/.f64 x y)))))))) (+.f64 (/.f64 (/.f64 (/.f64 x y) (*.f64 y (/.f64 y (/.f64 x y)))) (/.f64 (/.f64 y (/.f64 x y)) (/.f64 x (*.f64 y y)))) (*.f64 (+.f64 #s(literal 9 binary64) (/.f64 #s(literal 3 binary64) (/.f64 y (/.f64 x y)))) (-.f64 (+.f64 #s(literal 9 binary64) (/.f64 #s(literal 3 binary64) (/.f64 y (/.f64 x y)))) (/.f64 (/.f64 x y) (*.f64 y (/.f64 y (/.f64 x y)))))))) |
(*.f64 (/.f64 (+.f64 (/.f64 (/.f64 x (*.f64 y y)) (/.f64 (/.f64 y (/.f64 x y)) (/.f64 x (*.f64 y y)))) #s(literal -27 binary64)) (-.f64 (/.f64 (/.f64 (/.f64 x y) (*.f64 y (/.f64 y (/.f64 x y)))) (/.f64 (/.f64 y (/.f64 x y)) (/.f64 x (*.f64 y y)))) (*.f64 (+.f64 #s(literal 9 binary64) (/.f64 #s(literal 3 binary64) (/.f64 y (/.f64 x y)))) (+.f64 #s(literal 9 binary64) (/.f64 #s(literal 3 binary64) (/.f64 y (/.f64 x y))))))) (-.f64 (/.f64 (/.f64 x y) (*.f64 y (/.f64 y (/.f64 x y)))) (+.f64 #s(literal 9 binary64) (/.f64 #s(literal 3 binary64) (/.f64 y (/.f64 x y)))))) |
(*.f64 (/.f64 (+.f64 (/.f64 (/.f64 x y) (*.f64 y (/.f64 y (/.f64 x y)))) #s(literal -9 binary64)) (+.f64 #s(literal 27 binary64) (/.f64 (/.f64 x (*.f64 y y)) (/.f64 (/.f64 y (/.f64 x y)) (/.f64 x (*.f64 y y)))))) (+.f64 (/.f64 (/.f64 x y) (*.f64 y (/.f64 y (/.f64 x y)))) (-.f64 #s(literal 9 binary64) (/.f64 #s(literal 3 binary64) (/.f64 y (/.f64 x y)))))) |
(exp.f64 (log.f64 (/.f64 x (*.f64 y y)))) |
(-.f64 #s(literal 0 binary64) (*.f64 x (/.f64 (/.f64 #s(literal -1 binary64) y) y))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) y)) (*.f64 x (/.f64 (/.f64 #s(literal -1 binary64) y) y))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 y y))) (*.f64 x (/.f64 (/.f64 #s(literal -1 binary64) y) y))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 y x))) (*.f64 x (/.f64 (/.f64 #s(literal -1 binary64) y) y))) |
(neg.f64 (*.f64 x (/.f64 (/.f64 #s(literal -1 binary64) y) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x y))) |
(/.f64 x (*.f64 y y)) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x (*.f64 y y)) #s(literal 1 binary64)) |
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) |
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal -1 binary64) (/.f64 y (-.f64 #s(literal 0 binary64) (/.f64 x y)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)) (-.f64 #s(literal 0 binary64) y)) |
(/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 y y))) |
(/.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 y y)))) |
(/.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 #s(literal 0 binary64) (/.f64 y x))) |
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) y) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 (*.f64 x (/.f64 (/.f64 #s(literal -1 binary64) y) y)) #s(literal -1 binary64)) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 0 binary64) (*.f64 y y))) |
(pow.f64 (/.f64 y (/.f64 x y)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 x (*.f64 y y)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (/.f64 y (/.f64 x y)) (/.f64 x (*.f64 y y))) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (/.f64 y (/.f64 x y)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y y))) |
(*.f64 x (/.f64 (/.f64 #s(literal 1 binary64) y) y)) |
(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 x (*.f64 y y)) #s(literal 1 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x y)) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (*.f64 x (/.f64 (/.f64 #s(literal -1 binary64) y) y))) |
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (/.f64 #s(literal -1 binary64) y) y)) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 #s(literal 0 binary64) (/.f64 x y))) |
(*.f64 (pow.f64 (/.f64 y (/.f64 x y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y (/.f64 x y)) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (/.f64 y (/.f64 x y)) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (/.f64 y (/.f64 x y)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 y (/.f64 x y)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (/.f64 y (/.f64 x y)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 y x))) |
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 x y))) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) y) (-.f64 #s(literal 0 binary64) x)) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) y) (/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))) |
(*.f64 (*.f64 x (/.f64 (/.f64 #s(literal -1 binary64) y) y)) #s(literal -1 binary64)) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) y)) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) y) y)) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 (/.f64 #s(literal -1 binary64) y) y)) |
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 #s(literal -1 binary64) y) y)) |
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 (/.f64 #s(literal 1 binary64) y) y)) |
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 y x))) |
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) y)) |
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) y) y)) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 x y))) |
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) y) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) y)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x))) |
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) y))) |
(*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x)) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y (/.f64 x y)) #s(literal -1/2 binary64))) (pow.f64 (/.f64 y (/.f64 x y)) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (/.f64 x y) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 y x))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x)) (-.f64 #s(literal 0 binary64) (/.f64 y x))) |
(neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 y x))) |
(/.f64 #s(literal 1 binary64) (/.f64 x y)) |
(/.f64 y x) |
(/.f64 (/.f64 y x) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 x y))) |
(/.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 y x)) #s(literal -1 binary64)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) y)) |
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64))) |
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y)) |
(pow.f64 (/.f64 x y) #s(literal -1 binary64)) |
(pow.f64 (/.f64 y x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 y x)) |
(*.f64 y (/.f64 #s(literal 1 binary64) x)) |
(*.f64 y (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
(*.f64 (/.f64 y x) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 y x))) |
(*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) y) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 0 binary64) y)) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) y) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) y)) |
(*.f64 (pow.f64 (/.f64 x y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 x y) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) y) |
| 1× | egg-herbie |
| 1894× | fnmadd-define |
| 1578× | sum3-define |
| 1556× | fma-define |
| 1292× | fmsub-define |
| 1108× | fmm-def |
Useful iterations: 7 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 1500 |
| 1 | 52 | 1185 |
| 2 | 116 | 1185 |
| 3 | 286 | 1185 |
| 4 | 641 | 1185 |
| 5 | 1149 | 1185 |
| 6 | 2186 | 1185 |
| 7 | 3716 | 1077 |
| 8 | 6552 | 1077 |
| 9 | 7952 | 1077 |
| 0 | 8015 | 1077 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ x (pow y 2)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
-3 |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
-3 |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
-3 |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(/ x (pow y 2)) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(/ x (pow y 2)) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (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) |
(pow y 2) |
(/ x (pow y 2)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
-3 |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
-3 |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
-3 |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(/ x (pow y 2)) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(/ x (pow y 2)) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(/ 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 (pow y 2)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
-3 |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
-3 |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
-3 |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(/ x (pow y 2)) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(/ x (pow y 2)) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
| Outputs |
|---|
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
-3 |
#s(literal -3 binary64) |
(- (/ x (pow y 2)) 3) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(- (/ x (pow y 2)) 3) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(- (/ x (pow y 2)) 3) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
-3 |
#s(literal -3 binary64) |
(- (/ x (pow y 2)) 3) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(- (/ x (pow y 2)) 3) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(- (/ x (pow y 2)) 3) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
-3 |
#s(literal -3 binary64) |
(- (/ x (pow y 2)) 3) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(- (/ x (pow y 2)) 3) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(- (/ x (pow y 2)) 3) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.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) |
(pow y 2) |
(*.f64 y y) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
-3 |
#s(literal -3 binary64) |
(- (/ x (pow y 2)) 3) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(- (/ x (pow y 2)) 3) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(- (/ x (pow y 2)) 3) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
-3 |
#s(literal -3 binary64) |
(- (/ x (pow y 2)) 3) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(- (/ x (pow y 2)) 3) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(- (/ x (pow y 2)) 3) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
-3 |
#s(literal -3 binary64) |
(- (/ x (pow y 2)) 3) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(- (/ x (pow y 2)) 3) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(- (/ x (pow y 2)) 3) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ 1 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/ 1 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/ 1 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/ 1 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/ 1 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/ 1 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/ 1 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/ 1 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/ 1 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/ 1 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/ 1 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/ 1 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 y 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) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
-3 |
#s(literal -3 binary64) |
(- (/ x (pow y 2)) 3) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(- (/ x (pow y 2)) 3) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(- (/ x (pow y 2)) 3) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
-3 |
#s(literal -3 binary64) |
(- (/ x (pow y 2)) 3) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(- (/ x (pow y 2)) 3) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(- (/ x (pow y 2)) 3) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
-3 |
#s(literal -3 binary64) |
(- (/ x (pow y 2)) 3) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(- (/ x (pow y 2)) 3) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(- (/ x (pow y 2)) 3) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
Compiled 16312 to 1072 computations (93.4% saved)
9 alts after pruning (6 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 930 | 5 | 935 |
| Fresh | 1 | 1 | 2 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 934 | 9 | 943 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 58.1% | (/.f64 (/.f64 x y) y) |
| ▶ | 58.0% | (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) |
| ▶ | 50.8% | (/.f64 (-.f64 #s(literal 9 binary64) (/.f64 (/.f64 x y) (/.f64 (*.f64 y (*.f64 y y)) x))) (-.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y)))) |
| ✓ | 49.1% | (/.f64 x (*.f64 y y)) |
| ▶ | 58.0% | (/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x y))) |
| 55.5% | (-.f64 (/.f64 (/.f64 (/.f64 x y) (*.f64 y (/.f64 y (/.f64 x y)))) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))) (/.f64 #s(literal 9 binary64) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)))) | |
| ✓ | 99.9% | (+.f64 (/.f64 (/.f64 x y) y) #s(literal -3 binary64)) |
| ▶ | 48.5% | (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) x) |
| ✓ | 43.3% | #s(literal -3 binary64) |
Compiled 195 to 111 computations (43.1% saved)
| 1× | egg-herbie |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 x y) |
| ✓ | cost-diff | 0 | (/.f64 (/.f64 x y) (/.f64 (*.f64 y (*.f64 y y)) x)) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 9 binary64) (/.f64 (/.f64 x y) (/.f64 (*.f64 y (*.f64 y y)) x))) |
| ✓ | cost-diff | 0 | (/.f64 (-.f64 #s(literal 9 binary64) (/.f64 (/.f64 x y) (/.f64 (*.f64 y (*.f64 y y)) x))) (-.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y)))) |
| ✓ | cost-diff | 0 | (/.f64 y x) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) y) |
| ✓ | cost-diff | 128 | (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) |
| ✓ | cost-diff | 0 | (/.f64 x y) |
| ✓ | cost-diff | 0 | (/.f64 y (/.f64 x y)) |
| ✓ | cost-diff | 128 | (/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x y))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) y) |
| ✓ | cost-diff | 0 | (/.f64 (/.f64 #s(literal 1 binary64) y) y) |
| ✓ | cost-diff | 128 | (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) x) |
| ✓ | cost-diff | 0 | (/.f64 x y) |
| ✓ | cost-diff | 0 | (/.f64 (/.f64 x y) y) |
| 3320× | *-lowering-*.f32 |
| 3320× | *-lowering-*.f64 |
| 1778× | +-lowering-+.f64 |
| 1778× | +-lowering-+.f32 |
| 1584× | /-lowering-/.f32 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 114 |
| 1 | 49 | 112 |
| 2 | 116 | 104 |
| 3 | 299 | 100 |
| 4 | 1344 | 100 |
| 5 | 3712 | 100 |
| 0 | 8105 | 100 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (/ x y) y) |
(/ x y) |
x |
y |
(* (/ (/ 1 y) y) x) |
(/ (/ 1 y) y) |
(/ 1 y) |
1 |
y |
x |
(/ 1 (/ y (/ x y))) |
1 |
(/ y (/ x y)) |
y |
(/ x y) |
x |
(/ (/ 1 y) (/ y x)) |
(/ 1 y) |
1 |
y |
(/ y x) |
x |
(/ (- 9 (/ (/ x y) (/ (* y (* y y)) x))) (- -3 (/ x (* y y)))) |
(- 9 (/ (/ x y) (/ (* y (* y y)) x))) |
9 |
(/ (/ x y) (/ (* y (* y y)) x)) |
(/ x y) |
x |
y |
(/ (* y (* y y)) x) |
(* y (* y y)) |
(* y y) |
(- -3 (/ x (* y y))) |
-3 |
(/ x (* y y)) |
| Outputs |
|---|
(/ (/ x y) y) |
(/.f64 x (*.f64 y y)) |
(/ x y) |
(/.f64 x y) |
x |
y |
(* (/ (/ 1 y) y) x) |
(/.f64 x (*.f64 y y)) |
(/ (/ 1 y) y) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
1 |
#s(literal 1 binary64) |
y |
x |
(/ 1 (/ y (/ x y))) |
(/.f64 x (*.f64 y y)) |
1 |
#s(literal 1 binary64) |
(/ y (/ x y)) |
(/.f64 y (/.f64 x y)) |
y |
(/ x y) |
(/.f64 x y) |
x |
(/ (/ 1 y) (/ y x)) |
(/.f64 x (*.f64 y y)) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
1 |
#s(literal 1 binary64) |
y |
(/ y x) |
(/.f64 y x) |
x |
(/ (- 9 (/ (/ x y) (/ (* y (* y y)) x))) (- -3 (/ x (* y y)))) |
(/.f64 (-.f64 #s(literal 9 binary64) (/.f64 x (*.f64 y (/.f64 y (/.f64 x (*.f64 y y)))))) (-.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y)))) |
(- 9 (/ (/ x y) (/ (* y (* y y)) x))) |
(-.f64 #s(literal 9 binary64) (/.f64 x (*.f64 y (/.f64 y (/.f64 x (*.f64 y y)))))) |
9 |
#s(literal 9 binary64) |
(/ (/ x y) (/ (* y (* y y)) x)) |
(/.f64 x (*.f64 y (/.f64 y (/.f64 x (*.f64 y y))))) |
(/ x y) |
(/.f64 x y) |
x |
y |
(/ (* y (* y y)) x) |
(/.f64 y (/.f64 x (*.f64 y y))) |
(* y (* y y)) |
(*.f64 y (*.f64 y y)) |
(* y y) |
(*.f64 y y) |
(- -3 (/ x (* y y))) |
(-.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y))) |
-3 |
#s(literal -3 binary64) |
(/ x (* y y)) |
(/.f64 x (*.f64 y y)) |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 97.9% | (/.f64 (/.f64 x y) (/.f64 (*.f64 y (*.f64 y y)) x)) |
| ✓ | accuracy | 88.6% | (/.f64 (*.f64 y (*.f64 y y)) x) |
| ✓ | accuracy | 84.3% | (/.f64 x (*.f64 y y)) |
| ✓ | accuracy | 61.5% | (/.f64 (-.f64 #s(literal 9 binary64) (/.f64 (/.f64 x y) (/.f64 (*.f64 y (*.f64 y y)) x))) (-.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y)))) |
| ✓ | accuracy | 100.0% | (/.f64 y x) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) y) |
| ✓ | accuracy | 99.7% | (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) |
| ✓ | accuracy | 100.0% | (/.f64 x y) |
| ✓ | accuracy | 99.8% | (/.f64 y (/.f64 x y)) |
| ✓ | accuracy | 99.6% | (/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x y))) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) y) |
| ✓ | accuracy | 99.8% | (/.f64 (/.f64 #s(literal 1 binary64) y) y) |
| ✓ | accuracy | 84.2% | (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) x) |
| ✓ | accuracy | 100.0% | (/.f64 x y) |
| ✓ | accuracy | 99.9% | (/.f64 (/.f64 x y) y) |
| 108.0ms | 256× | 0 | valid |
Compiled 144 to 23 computations (84% saved)
ival-sub: 44.0ms (57.6% of total)ival-div: 25.0ms (32.7% of total)ival-mult: 7.0ms (9.2% of total)const: 1.0ms (1.3% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ (/ x y) y)> |
#<alt (/ x y)> |
#<alt (* (/ (/ 1 y) y) x)> |
#<alt (/ (/ 1 y) y)> |
#<alt (/ 1 y)> |
#<alt (/ 1 (/ y (/ x y)))> |
#<alt (/ y (/ x y))> |
#<alt (/ (/ 1 y) (/ y x))> |
#<alt (/ y x)> |
#<alt (/ (- 9 (/ (/ x y) (/ (* y (* y y)) x))) (- -3 (/ x (* y y))))> |
#<alt (- 9 (/ (/ x y) (/ (* y (* y y)) x)))> |
#<alt (/ (/ x y) (/ (* y (* y y)) x))> |
#<alt (/ x (* y y))> |
#<alt (/ (* y (* y y)) x)> |
| Outputs |
|---|
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ 1 (pow y 2))> |
#<alt (/ 1 (pow y 2))> |
#<alt (/ 1 (pow y 2))> |
#<alt (/ 1 (pow y 2))> |
#<alt (/ 1 (pow y 2))> |
#<alt (/ 1 (pow y 2))> |
#<alt (/ 1 (pow y 2))> |
#<alt (/ 1 (pow y 2))> |
#<alt (/ 1 (pow y 2))> |
#<alt (/ 1 (pow y 2))> |
#<alt (/ 1 (pow y 2))> |
#<alt (/ 1 (pow y 2))> |
#<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 (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ (pow y 2) x)> |
#<alt (/ (pow y 2) x)> |
#<alt (/ (pow y 2) x)> |
#<alt (/ (pow y 2) x)> |
#<alt (/ (pow y 2) x)> |
#<alt (/ (pow y 2) x)> |
#<alt (/ (pow y 2) x)> |
#<alt (/ (pow y 2) x)> |
#<alt (/ (pow y 2) x)> |
#<alt (/ (pow y 2) x)> |
#<alt (/ (pow y 2) x)> |
#<alt (/ (pow y 2) x)> |
#<alt (/ (pow y 2) x)> |
#<alt (/ (pow y 2) x)> |
#<alt (/ (pow y 2) x)> |
#<alt (/ (pow y 2) x)> |
#<alt (/ (pow y 2) x)> |
#<alt (/ (pow y 2) x)> |
#<alt (/ (pow y 2) x)> |
#<alt (/ (pow y 2) x)> |
#<alt (/ (pow y 2) x)> |
#<alt (/ (pow y 2) x)> |
#<alt (/ (pow y 2) x)> |
#<alt (/ (pow y 2) x)> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt -3> |
#<alt (- (/ x (pow y 2)) 3)> |
#<alt (- (/ x (pow y 2)) 3)> |
#<alt (- (/ x (pow y 2)) 3)> |
#<alt (/ x (pow y 2))> |
#<alt (* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))> |
#<alt (* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))> |
#<alt (* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))> |
#<alt (/ x (pow y 2))> |
#<alt (* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))> |
#<alt (* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))> |
#<alt (* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))> |
#<alt (/ x (pow y 2))> |
#<alt (/ (+ x (* -3 (pow y 2))) (pow y 2))> |
#<alt (/ (+ x (* -3 (pow y 2))) (pow y 2))> |
#<alt (/ (+ x (* -3 (pow y 2))) (pow y 2))> |
#<alt -3> |
#<alt (- (/ x (pow y 2)) 3)> |
#<alt (- (/ x (pow y 2)) 3)> |
#<alt (- (/ x (pow y 2)) 3)> |
#<alt -3> |
#<alt (- (/ x (pow y 2)) 3)> |
#<alt (- (/ x (pow y 2)) 3)> |
#<alt (- (/ x (pow y 2)) 3)> |
#<alt 9> |
#<alt (+ 9 (* -1 (/ (pow x 2) (pow y 4))))> |
#<alt (+ 9 (* -1 (/ (pow x 2) (pow y 4))))> |
#<alt (+ 9 (* -1 (/ (pow x 2) (pow y 4))))> |
#<alt (* -1 (/ (pow x 2) (pow y 4)))> |
#<alt (* (pow x 2) (- (* 9 (/ 1 (pow x 2))) (/ 1 (pow y 4))))> |
#<alt (* (pow x 2) (- (* 9 (/ 1 (pow x 2))) (/ 1 (pow y 4))))> |
#<alt (* (pow x 2) (- (* 9 (/ 1 (pow x 2))) (/ 1 (pow y 4))))> |
#<alt (* -1 (/ (pow x 2) (pow y 4)))> |
#<alt (* (pow x 2) (- (* 9 (/ 1 (pow x 2))) (/ 1 (pow y 4))))> |
#<alt (* (pow x 2) (- (* 9 (/ 1 (pow x 2))) (/ 1 (pow y 4))))> |
#<alt (* (pow x 2) (- (* 9 (/ 1 (pow x 2))) (/ 1 (pow y 4))))> |
#<alt (* -1 (/ (pow x 2) (pow y 4)))> |
#<alt (/ (- (* 9 (pow y 4)) (pow x 2)) (pow y 4))> |
#<alt (/ (- (* 9 (pow y 4)) (pow x 2)) (pow y 4))> |
#<alt (/ (- (* 9 (pow y 4)) (pow x 2)) (pow y 4))> |
#<alt 9> |
#<alt (+ 9 (* -1 (/ (pow x 2) (pow y 4))))> |
#<alt (+ 9 (* -1 (/ (pow x 2) (pow y 4))))> |
#<alt (+ 9 (* -1 (/ (pow x 2) (pow y 4))))> |
#<alt 9> |
#<alt (+ 9 (* -1 (/ (pow x 2) (pow y 4))))> |
#<alt (+ 9 (* -1 (/ (pow x 2) (pow y 4))))> |
#<alt (+ 9 (* -1 (/ (pow x 2) (pow y 4))))> |
#<alt (/ (pow x 2) (pow y 4))> |
#<alt (/ (pow x 2) (pow y 4))> |
#<alt (/ (pow x 2) (pow y 4))> |
#<alt (/ (pow x 2) (pow y 4))> |
#<alt (/ (pow x 2) (pow y 4))> |
#<alt (/ (pow x 2) (pow y 4))> |
#<alt (/ (pow x 2) (pow y 4))> |
#<alt (/ (pow x 2) (pow y 4))> |
#<alt (/ (pow x 2) (pow y 4))> |
#<alt (/ (pow x 2) (pow y 4))> |
#<alt (/ (pow x 2) (pow y 4))> |
#<alt (/ (pow x 2) (pow y 4))> |
#<alt (/ (pow x 2) (pow y 4))> |
#<alt (/ (pow x 2) (pow y 4))> |
#<alt (/ (pow x 2) (pow y 4))> |
#<alt (/ (pow x 2) (pow y 4))> |
#<alt (/ (pow x 2) (pow y 4))> |
#<alt (/ (pow x 2) (pow y 4))> |
#<alt (/ (pow x 2) (pow y 4))> |
#<alt (/ (pow x 2) (pow y 4))> |
#<alt (/ (pow x 2) (pow y 4))> |
#<alt (/ (pow x 2) (pow y 4))> |
#<alt (/ (pow x 2) (pow y 4))> |
#<alt (/ (pow x 2) (pow y 4))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ (pow y 3) x)> |
#<alt (/ (pow y 3) x)> |
#<alt (/ (pow y 3) x)> |
#<alt (/ (pow y 3) x)> |
#<alt (/ (pow y 3) x)> |
#<alt (/ (pow y 3) x)> |
#<alt (/ (pow y 3) x)> |
#<alt (/ (pow y 3) x)> |
#<alt (/ (pow y 3) x)> |
#<alt (/ (pow y 3) x)> |
#<alt (/ (pow y 3) x)> |
#<alt (/ (pow y 3) x)> |
#<alt (/ (pow y 3) x)> |
#<alt (/ (pow y 3) x)> |
#<alt (/ (pow y 3) x)> |
#<alt (/ (pow y 3) x)> |
#<alt (/ (pow y 3) x)> |
#<alt (/ (pow y 3) x)> |
#<alt (/ (pow y 3) x)> |
#<alt (/ (pow y 3) x)> |
#<alt (/ (pow y 3) x)> |
#<alt (/ (pow y 3) x)> |
#<alt (/ (pow y 3) x)> |
#<alt (/ (pow y 3) x)> |
78 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 59.0ms | y | @ | inf | (/ (/ 1 y) (/ y x)) |
| 2.0ms | x | @ | 0 | (/ (- 9 (/ (/ x y) (/ (* y (* y y)) x))) (- -3 (/ x (* y y)))) |
| 1.0ms | y | @ | 0 | (/ (- 9 (/ (/ x y) (/ (* y (* y y)) x))) (- -3 (/ x (* y y)))) |
| 1.0ms | x | @ | inf | (/ (- 9 (/ (/ x y) (/ (* y (* y y)) x))) (- -3 (/ x (* y y)))) |
| 1.0ms | x | @ | 0 | (/ (* y (* y y)) x) |
| 1× | batch-egg-rewrite |
| 4894× | *-lowering-*.f32 |
| 4894× | *-lowering-*.f64 |
| 3892× | /-lowering-/.f32 |
| 3892× | /-lowering-/.f64 |
| 2096× | --lowering--.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 80 |
| 1 | 139 | 58 |
| 2 | 1510 | 58 |
| 0 | 8133 | 58 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (/ x y) y) |
(/ x y) |
(* (/ (/ 1 y) y) x) |
(/ (/ 1 y) y) |
(/ 1 y) |
(/ 1 (/ y (/ x y))) |
(/ y (/ x y)) |
(/ (/ 1 y) (/ y x)) |
(/ y x) |
(/ (- 9 (/ (/ x y) (/ (* y (* y y)) x))) (- -3 (/ x (* y y)))) |
(- 9 (/ (/ x y) (/ (* y (* y y)) x))) |
(/ (/ x y) (/ (* y (* y y)) x)) |
(/ x (* y y)) |
(/ (* y (* y y)) x) |
| Outputs |
|---|
(exp.f64 (log.f64 (/.f64 (/.f64 x y) y))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) y)) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)) y)) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 y (-.f64 #s(literal 0 binary64) y))) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)) y)) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 y x))) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)) y)) |
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)) y)) |
(/.f64 x (*.f64 y y)) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) (neg.f64 (-.f64 #s(literal 0 binary64) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x y))) |
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal -1 binary64) (/.f64 y (-.f64 #s(literal 0 binary64) (/.f64 x y)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)) (-.f64 #s(literal 0 binary64) y)) |
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(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y (*.f64 y y))) (*.f64 x x)) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y (*.f64 y y))) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -2 binary64))) |
(*.f64 (*.f64 (/.f64 (/.f64 x y) y) x) (/.f64 #s(literal 1 binary64) (*.f64 y y))) |
(*.f64 (*.f64 (/.f64 (/.f64 x y) y) (/.f64 x y)) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 (/.f64 x y) (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y)))) (-.f64 #s(literal 0 binary64) x)) |
(*.f64 (pow.f64 (/.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y (*.f64 y y)))) |
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -2 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (/.f64 y x)) #s(literal -2 binary64))) |
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (/.f64 y x)) #s(literal -2 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -2 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) #s(literal -2 binary64)) (pow.f64 (*.f64 y (-.f64 #s(literal 0 binary64) y)) #s(literal -2 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) #s(literal -2 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (/.f64 y x)) #s(literal -2 binary64))) |
(*.f64 (pow.f64 (/.f64 (/.f64 y x) #s(literal -1 binary64)) #s(literal -2 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -2 binary64))) |
(*.f64 (pow.f64 (*.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y))) |
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y (*.f64 y y)))) |
(*.f64 (pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) y) #s(literal 2 binary64)) (*.f64 x x)) |
(*.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 x y) (/.f64 x y))) |
(*.f64 (pow.f64 (/.f64 (*.f64 y (/.f64 y (/.f64 x y))) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (pow.f64 (/.f64 (*.f64 y (/.f64 y (/.f64 x y))) (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y)) |
(exp.f64 (log.f64 (/.f64 (/.f64 x y) y))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) y)) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)) y)) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 y (-.f64 #s(literal 0 binary64) y))) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)) y)) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 y x))) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)) y)) |
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)) y)) |
(/.f64 x (*.f64 y y)) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) (neg.f64 (-.f64 #s(literal 0 binary64) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x y))) |
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal -1 binary64) (/.f64 y (-.f64 #s(literal 0 binary64) (/.f64 x y)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)) (-.f64 #s(literal 0 binary64) y)) |
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) y)))) |
(/.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 y (-.f64 #s(literal 0 binary64) y))) |
(/.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 #s(literal 0 binary64) (/.f64 y x))) |
(/.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 y y)) |
(/.f64 (*.f64 x #s(literal -1 binary64)) (*.f64 y (-.f64 #s(literal 0 binary64) y))) |
(/.f64 (*.f64 (/.f64 x y) #s(literal 1 binary64)) y) |
(/.f64 (*.f64 (/.f64 x y) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) y)) |
(/.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 y y)) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 x y))) (-.f64 #s(literal 0 binary64) y)) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) (*.f64 y (-.f64 #s(literal 0 binary64) y))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 0 binary64) x)) (-.f64 #s(literal 0 binary64) y)) |
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x)) (*.f64 y y)) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) (*.f64 y (-.f64 #s(literal 0 binary64) y))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)) (*.f64 y y)) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) x) (-.f64 #s(literal 0 binary64) y)) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) (neg.f64 (*.f64 y (-.f64 #s(literal 0 binary64) y)))) |
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y))) (neg.f64 (/.f64 #s(literal 1 binary64) x))) |
(/.f64 (neg.f64 (*.f64 x #s(literal 1 binary64))) (*.f64 y (-.f64 #s(literal 0 binary64) y))) |
(/.f64 (neg.f64 (*.f64 x #s(literal -1 binary64))) (neg.f64 (*.f64 y (-.f64 #s(literal 0 binary64) y)))) |
(/.f64 (neg.f64 (*.f64 (/.f64 x y) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) y)) |
(/.f64 (neg.f64 (*.f64 (/.f64 x y) #s(literal -1 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) y))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) x)) (*.f64 y (-.f64 #s(literal 0 binary64) y))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 x y)))) (neg.f64 (-.f64 #s(literal 0 binary64) y))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))) (neg.f64 (*.f64 y (-.f64 #s(literal 0 binary64) y)))) |
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 0 binary64) x))) (neg.f64 (-.f64 #s(literal 0 binary64) y))) |
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x))) (*.f64 y (-.f64 #s(literal 0 binary64) y))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))) (neg.f64 (*.f64 y (-.f64 #s(literal 0 binary64) y)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64))) (*.f64 y (-.f64 #s(literal 0 binary64) y))) |
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) x)) (neg.f64 (-.f64 #s(literal 0 binary64) y))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x))) (neg.f64 (neg.f64 (*.f64 y (-.f64 #s(literal 0 binary64) y))))) |
(pow.f64 (/.f64 y (/.f64 x y)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 x y) y) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (/.f64 x y) x)) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (/.f64 y (/.f64 x y)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y y))) |
(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 x y) y)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x y)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) |
(*.f64 (/.f64 (/.f64 x y) y) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)) y)) |
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 0 binary64) y)))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 #s(literal 0 binary64) (/.f64 x y))) |
(*.f64 (*.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (*.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 y y))) |
(*.f64 (pow.f64 (/.f64 y (/.f64 x y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y (/.f64 x y)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) y) (-.f64 #s(literal 0 binary64) x)) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (/.f64 x y)) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 0 binary64) y)))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 x y))) |
(*.f64 (pow.f64 (/.f64 (/.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 (/.f64 x y) y) y)) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x)) (-.f64 #s(literal 0 binary64) (*.f64 y (/.f64 y (/.f64 x y))))) |
(neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (/.f64 y (/.f64 x y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 x y) y) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (/.f64 x y) y) y) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (/.f64 (/.f64 x y) y) y)))) |
(/.f64 (*.f64 y (*.f64 y y)) x) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (/.f64 x y) y) y))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (/.f64 (/.f64 x y) y) y) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y)))) (neg.f64 (-.f64 #s(literal 0 binary64) x))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)))) |
(pow.f64 (*.f64 y (/.f64 y (/.f64 x y))) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (/.f64 (/.f64 x y) y) y) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (/.f64 (/.f64 x y) y) y) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 y (/.f64 y (/.f64 x y))) |
(*.f64 #s(literal 1 binary64) (*.f64 y (/.f64 y (/.f64 x y)))) |
(*.f64 (/.f64 y (/.f64 x y)) y) |
(*.f64 (*.f64 y y) (/.f64 y x)) |
(*.f64 (*.f64 y (*.f64 y y)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (*.f64 y y))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))) |
| 1× | egg-herbie |
| 1536× | *-lowering-*.f32 |
| 1536× | *-lowering-*.f64 |
| 1420× | sum3-define |
| 1130× | fma-lowering-fma.f32 |
| 1130× | fma-lowering-fma.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 1587 |
| 1 | 94 | 1341 |
| 2 | 206 | 1341 |
| 3 | 477 | 1341 |
| 4 | 1057 | 1341 |
| 5 | 2122 | 1341 |
| 6 | 4982 | 1341 |
| 0 | 8129 | 1341 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(/ 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 (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
-3 |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(/ x (pow y 2)) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(/ x (pow y 2)) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(/ x (pow y 2)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
-3 |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
-3 |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
9 |
(+ 9 (* -1 (/ (pow x 2) (pow y 4)))) |
(+ 9 (* -1 (/ (pow x 2) (pow y 4)))) |
(+ 9 (* -1 (/ (pow x 2) (pow y 4)))) |
(* -1 (/ (pow x 2) (pow y 4))) |
(* (pow x 2) (- (* 9 (/ 1 (pow x 2))) (/ 1 (pow y 4)))) |
(* (pow x 2) (- (* 9 (/ 1 (pow x 2))) (/ 1 (pow y 4)))) |
(* (pow x 2) (- (* 9 (/ 1 (pow x 2))) (/ 1 (pow y 4)))) |
(* -1 (/ (pow x 2) (pow y 4))) |
(* (pow x 2) (- (* 9 (/ 1 (pow x 2))) (/ 1 (pow y 4)))) |
(* (pow x 2) (- (* 9 (/ 1 (pow x 2))) (/ 1 (pow y 4)))) |
(* (pow x 2) (- (* 9 (/ 1 (pow x 2))) (/ 1 (pow y 4)))) |
(* -1 (/ (pow x 2) (pow y 4))) |
(/ (- (* 9 (pow y 4)) (pow x 2)) (pow y 4)) |
(/ (- (* 9 (pow y 4)) (pow x 2)) (pow y 4)) |
(/ (- (* 9 (pow y 4)) (pow x 2)) (pow y 4)) |
9 |
(+ 9 (* -1 (/ (pow x 2) (pow y 4)))) |
(+ 9 (* -1 (/ (pow x 2) (pow y 4)))) |
(+ 9 (* -1 (/ (pow x 2) (pow y 4)))) |
9 |
(+ 9 (* -1 (/ (pow x 2) (pow y 4)))) |
(+ 9 (* -1 (/ (pow x 2) (pow y 4)))) |
(+ 9 (* -1 (/ (pow x 2) (pow y 4)))) |
(/ (pow x 2) (pow y 4)) |
(/ (pow x 2) (pow y 4)) |
(/ (pow x 2) (pow y 4)) |
(/ (pow x 2) (pow y 4)) |
(/ (pow x 2) (pow y 4)) |
(/ (pow x 2) (pow y 4)) |
(/ (pow x 2) (pow y 4)) |
(/ (pow x 2) (pow y 4)) |
(/ (pow x 2) (pow y 4)) |
(/ (pow x 2) (pow y 4)) |
(/ (pow x 2) (pow y 4)) |
(/ (pow x 2) (pow y 4)) |
(/ (pow x 2) (pow y 4)) |
(/ (pow x 2) (pow y 4)) |
(/ (pow x 2) (pow y 4)) |
(/ (pow x 2) (pow y 4)) |
(/ (pow x 2) (pow y 4)) |
(/ (pow x 2) (pow y 4)) |
(/ (pow x 2) (pow y 4)) |
(/ (pow x 2) (pow y 4)) |
(/ (pow x 2) (pow y 4)) |
(/ (pow x 2) (pow y 4)) |
(/ (pow x 2) (pow y 4)) |
(/ (pow x 2) (pow y 4)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ (pow y 3) x) |
(/ (pow y 3) x) |
(/ (pow y 3) x) |
(/ (pow y 3) x) |
(/ (pow y 3) x) |
(/ (pow y 3) x) |
(/ (pow y 3) x) |
(/ (pow y 3) x) |
(/ (pow y 3) x) |
(/ (pow y 3) x) |
(/ (pow y 3) x) |
(/ (pow y 3) x) |
(/ (pow y 3) x) |
(/ (pow y 3) x) |
(/ (pow y 3) x) |
(/ (pow y 3) x) |
(/ (pow y 3) x) |
(/ (pow y 3) x) |
(/ (pow y 3) x) |
(/ (pow y 3) x) |
(/ (pow y 3) x) |
(/ (pow y 3) x) |
(/ (pow y 3) x) |
(/ (pow y 3) x) |
| Outputs |
|---|
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ 1 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/ 1 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/ 1 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/ 1 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/ 1 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/ 1 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/ 1 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/ 1 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/ 1 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/ 1 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/ 1 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/ 1 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 y 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) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
-3 |
#s(literal -3 binary64) |
(- (/ x (pow y 2)) 3) |
(+.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y))) |
(- (/ x (pow y 2)) 3) |
(+.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y))) |
(- (/ x (pow y 2)) 3) |
(+.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y))) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(+.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y))) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(+.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y))) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(+.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y))) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(+.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y))) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(+.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y))) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(+.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y))) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(/.f64 (+.f64 x (*.f64 (*.f64 y y) #s(literal -3 binary64))) (*.f64 y y)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(/.f64 (+.f64 x (*.f64 (*.f64 y y) #s(literal -3 binary64))) (*.f64 y y)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(/.f64 (+.f64 x (*.f64 (*.f64 y y) #s(literal -3 binary64))) (*.f64 y y)) |
-3 |
#s(literal -3 binary64) |
(- (/ x (pow y 2)) 3) |
(+.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y))) |
(- (/ x (pow y 2)) 3) |
(+.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y))) |
(- (/ x (pow y 2)) 3) |
(+.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y))) |
-3 |
#s(literal -3 binary64) |
(- (/ x (pow y 2)) 3) |
(+.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y))) |
(- (/ x (pow y 2)) 3) |
(+.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y))) |
(- (/ x (pow y 2)) 3) |
(+.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y))) |
9 |
#s(literal 9 binary64) |
(+ 9 (* -1 (/ (pow x 2) (pow y 4)))) |
(-.f64 #s(literal 9 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64)))) |
(+ 9 (* -1 (/ (pow x 2) (pow y 4)))) |
(-.f64 #s(literal 9 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64)))) |
(+ 9 (* -1 (/ (pow x 2) (pow y 4)))) |
(-.f64 #s(literal 9 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64)))) |
(* -1 (/ (pow x 2) (pow y 4))) |
(/.f64 (*.f64 x x) (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 4 binary64)))) |
(* (pow x 2) (- (* 9 (/ 1 (pow x 2))) (/ 1 (pow y 4)))) |
(-.f64 #s(literal 9 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64)))) |
(* (pow x 2) (- (* 9 (/ 1 (pow x 2))) (/ 1 (pow y 4)))) |
(-.f64 #s(literal 9 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64)))) |
(* (pow x 2) (- (* 9 (/ 1 (pow x 2))) (/ 1 (pow y 4)))) |
(-.f64 #s(literal 9 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64)))) |
(* -1 (/ (pow x 2) (pow y 4))) |
(/.f64 (*.f64 x x) (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 4 binary64)))) |
(* (pow x 2) (- (* 9 (/ 1 (pow x 2))) (/ 1 (pow y 4)))) |
(-.f64 #s(literal 9 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64)))) |
(* (pow x 2) (- (* 9 (/ 1 (pow x 2))) (/ 1 (pow y 4)))) |
(-.f64 #s(literal 9 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64)))) |
(* (pow x 2) (- (* 9 (/ 1 (pow x 2))) (/ 1 (pow y 4)))) |
(-.f64 #s(literal 9 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64)))) |
(* -1 (/ (pow x 2) (pow y 4))) |
(/.f64 (*.f64 x x) (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 4 binary64)))) |
(/ (- (* 9 (pow y 4)) (pow x 2)) (pow y 4)) |
(-.f64 #s(literal 9 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64)))) |
(/ (- (* 9 (pow y 4)) (pow x 2)) (pow y 4)) |
(-.f64 #s(literal 9 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64)))) |
(/ (- (* 9 (pow y 4)) (pow x 2)) (pow y 4)) |
(-.f64 #s(literal 9 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64)))) |
9 |
#s(literal 9 binary64) |
(+ 9 (* -1 (/ (pow x 2) (pow y 4)))) |
(-.f64 #s(literal 9 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64)))) |
(+ 9 (* -1 (/ (pow x 2) (pow y 4)))) |
(-.f64 #s(literal 9 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64)))) |
(+ 9 (* -1 (/ (pow x 2) (pow y 4)))) |
(-.f64 #s(literal 9 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64)))) |
9 |
#s(literal 9 binary64) |
(+ 9 (* -1 (/ (pow x 2) (pow y 4)))) |
(-.f64 #s(literal 9 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64)))) |
(+ 9 (* -1 (/ (pow x 2) (pow y 4)))) |
(-.f64 #s(literal 9 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64)))) |
(+ 9 (* -1 (/ (pow x 2) (pow y 4)))) |
(-.f64 #s(literal 9 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64)))) |
(/ (pow x 2) (pow y 4)) |
(/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64))) |
(/ (pow x 2) (pow y 4)) |
(/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64))) |
(/ (pow x 2) (pow y 4)) |
(/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64))) |
(/ (pow x 2) (pow y 4)) |
(/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64))) |
(/ (pow x 2) (pow y 4)) |
(/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64))) |
(/ (pow x 2) (pow y 4)) |
(/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64))) |
(/ (pow x 2) (pow y 4)) |
(/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64))) |
(/ (pow x 2) (pow y 4)) |
(/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64))) |
(/ (pow x 2) (pow y 4)) |
(/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64))) |
(/ (pow x 2) (pow y 4)) |
(/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64))) |
(/ (pow x 2) (pow y 4)) |
(/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64))) |
(/ (pow x 2) (pow y 4)) |
(/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64))) |
(/ (pow x 2) (pow y 4)) |
(/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64))) |
(/ (pow x 2) (pow y 4)) |
(/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64))) |
(/ (pow x 2) (pow y 4)) |
(/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64))) |
(/ (pow x 2) (pow y 4)) |
(/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64))) |
(/ (pow x 2) (pow y 4)) |
(/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64))) |
(/ (pow x 2) (pow y 4)) |
(/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64))) |
(/ (pow x 2) (pow y 4)) |
(/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64))) |
(/ (pow x 2) (pow y 4)) |
(/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64))) |
(/ (pow x 2) (pow y 4)) |
(/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64))) |
(/ (pow x 2) (pow y 4)) |
(/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64))) |
(/ (pow x 2) (pow y 4)) |
(/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64))) |
(/ (pow x 2) (pow y 4)) |
(/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64))) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ (pow y 3) x) |
(/.f64 (*.f64 y (*.f64 y y)) x) |
(/ (pow y 3) x) |
(/.f64 (*.f64 y (*.f64 y y)) x) |
(/ (pow y 3) x) |
(/.f64 (*.f64 y (*.f64 y y)) x) |
(/ (pow y 3) x) |
(/.f64 (*.f64 y (*.f64 y y)) x) |
(/ (pow y 3) x) |
(/.f64 (*.f64 y (*.f64 y y)) x) |
(/ (pow y 3) x) |
(/.f64 (*.f64 y (*.f64 y y)) x) |
(/ (pow y 3) x) |
(/.f64 (*.f64 y (*.f64 y y)) x) |
(/ (pow y 3) x) |
(/.f64 (*.f64 y (*.f64 y y)) x) |
(/ (pow y 3) x) |
(/.f64 (*.f64 y (*.f64 y y)) x) |
(/ (pow y 3) x) |
(/.f64 (*.f64 y (*.f64 y y)) x) |
(/ (pow y 3) x) |
(/.f64 (*.f64 y (*.f64 y y)) x) |
(/ (pow y 3) x) |
(/.f64 (*.f64 y (*.f64 y y)) x) |
(/ (pow y 3) x) |
(/.f64 (*.f64 y (*.f64 y y)) x) |
(/ (pow y 3) x) |
(/.f64 (*.f64 y (*.f64 y y)) x) |
(/ (pow y 3) x) |
(/.f64 (*.f64 y (*.f64 y y)) x) |
(/ (pow y 3) x) |
(/.f64 (*.f64 y (*.f64 y y)) x) |
(/ (pow y 3) x) |
(/.f64 (*.f64 y (*.f64 y y)) x) |
(/ (pow y 3) x) |
(/.f64 (*.f64 y (*.f64 y y)) x) |
(/ (pow y 3) x) |
(/.f64 (*.f64 y (*.f64 y y)) x) |
(/ (pow y 3) x) |
(/.f64 (*.f64 y (*.f64 y y)) x) |
(/ (pow y 3) x) |
(/.f64 (*.f64 y (*.f64 y y)) x) |
(/ (pow y 3) x) |
(/.f64 (*.f64 y (*.f64 y y)) x) |
(/ (pow y 3) x) |
(/.f64 (*.f64 y (*.f64 y y)) x) |
(/ (pow y 3) x) |
(/.f64 (*.f64 y (*.f64 y y)) x) |
Compiled 25109 to 2259 computations (91% saved)
9 alts after pruning (2 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1335 | 1 | 1336 |
| Fresh | 0 | 1 | 1 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1336 | 9 | 1345 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 58.1% | (/.f64 (/.f64 x y) y) |
| ✓ | 58.0% | (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) |
| ▶ | 69.8% | (/.f64 (+.f64 x (*.f64 (*.f64 y y) #s(literal -3 binary64))) (*.f64 y y)) |
| ✓ | 49.1% | (/.f64 x (*.f64 y y)) |
| ✓ | 58.0% | (/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x y))) |
| ▶ | 55.5% | (-.f64 (/.f64 (/.f64 (/.f64 x y) (*.f64 y (/.f64 y (/.f64 x y)))) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))) (/.f64 #s(literal 9 binary64) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)))) |
| ✓ | 99.9% | (+.f64 (/.f64 (/.f64 x y) y) #s(literal -3 binary64)) |
| ✓ | 48.5% | (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) x) |
| ✓ | 43.3% | #s(literal -3 binary64) |
Compiled 97 to 56 computations (42.3% saved)
| 1× | egg-herbie |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 y y) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 y y) #s(literal -3 binary64)) |
| ✓ | cost-diff | 0 | (+.f64 x (*.f64 (*.f64 y y) #s(literal -3 binary64))) |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 x (*.f64 (*.f64 y y) #s(literal -3 binary64))) (*.f64 y y)) |
| ✓ | cost-diff | 0 | (/.f64 x y) |
| ✓ | cost-diff | 0 | (/.f64 (/.f64 x y) (*.f64 y (/.f64 y (/.f64 x y)))) |
| ✓ | cost-diff | 256 | (/.f64 (/.f64 (/.f64 x y) (*.f64 y (/.f64 y (/.f64 x y)))) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))) |
| ✓ | cost-diff | 256 | (-.f64 (/.f64 (/.f64 (/.f64 x y) (*.f64 y (/.f64 y (/.f64 x y)))) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))) (/.f64 #s(literal 9 binary64) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)))) |
| 2570× | *-lowering-*.f32 |
| 2570× | *-lowering-*.f64 |
| 1742× | /-lowering-/.f32 |
| 1742× | /-lowering-/.f64 |
| 1536× | fma-lowering-fma.f32 |
Useful iterations: 6 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 115 |
| 1 | 39 | 109 |
| 2 | 87 | 109 |
| 3 | 193 | 102 |
| 4 | 510 | 96 |
| 5 | 1299 | 96 |
| 6 | 2762 | 92 |
| 7 | 6139 | 92 |
| 0 | 8612 | 92 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (/ (/ (/ x y) (* y (/ y (/ x y)))) (+ (/ x (* y y)) 3)) (/ 9 (+ (/ x (* y y)) 3))) |
(/ (/ (/ x y) (* y (/ y (/ x y)))) (+ (/ x (* y y)) 3)) |
(/ (/ x y) (* y (/ y (/ x y)))) |
(/ x y) |
x |
y |
(* y (/ y (/ x y))) |
(/ y (/ x y)) |
(+ (/ x (* y y)) 3) |
(/ x (* y y)) |
(* y y) |
3 |
(/ 9 (+ (/ x (* y y)) 3)) |
9 |
(/ (+ x (* (* y y) -3)) (* y y)) |
(+ x (* (* y y) -3)) |
x |
(* (* y y) -3) |
(* y y) |
y |
-3 |
| Outputs |
|---|
(- (/ (/ (/ x y) (* y (/ y (/ x y)))) (+ (/ x (* y y)) 3)) (/ 9 (+ (/ x (* y y)) 3))) |
(+.f64 (/.f64 x (*.f64 y (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y #s(literal 3 binary64))) x))))) (/.f64 #s(literal 9 binary64) (-.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y))))) |
(/ (/ (/ x y) (* y (/ y (/ x y)))) (+ (/ x (* y y)) 3)) |
(/.f64 x (*.f64 y (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y #s(literal 3 binary64))) x))))) |
(/ (/ x y) (* y (/ y (/ x y)))) |
(*.f64 x (/.f64 (/.f64 (/.f64 x (*.f64 y y)) y) y)) |
(/ x y) |
(/.f64 x y) |
x |
y |
(* y (/ y (/ x y))) |
(/.f64 (*.f64 y (*.f64 y y)) x) |
(/ y (/ x y)) |
(/.f64 y (/.f64 x y)) |
(+ (/ x (* y y)) 3) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
(/ x (* y y)) |
(/.f64 x (*.f64 y y)) |
(* y y) |
(*.f64 y y) |
3 |
#s(literal 3 binary64) |
(/ 9 (+ (/ x (* y y)) 3)) |
(/.f64 #s(literal 9 binary64) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))) |
9 |
#s(literal 9 binary64) |
(/ (+ x (* (* y y) -3)) (* y y)) |
(/.f64 (/.f64 (+.f64 x (*.f64 y (*.f64 y #s(literal -3 binary64)))) y) y) |
(+ x (* (* y y) -3)) |
(+.f64 x (*.f64 y (*.f64 y #s(literal -3 binary64)))) |
x |
(* (* y y) -3) |
(*.f64 y (*.f64 y #s(literal -3 binary64))) |
(* y y) |
(*.f64 y y) |
y |
-3 |
#s(literal -3 binary64) |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 y y) |
| ✓ | accuracy | 100.0% | (+.f64 x (*.f64 (*.f64 y y) #s(literal -3 binary64))) |
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 y y) #s(literal -3 binary64)) |
| ✓ | accuracy | 69.9% | (/.f64 (+.f64 x (*.f64 (*.f64 y y) #s(literal -3 binary64))) (*.f64 y y)) |
| ✓ | accuracy | 99.4% | (/.f64 #s(literal 9 binary64) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))) |
| ✓ | accuracy | 97.9% | (/.f64 (/.f64 x y) (*.f64 y (/.f64 y (/.f64 x y)))) |
| ✓ | accuracy | 84.3% | (/.f64 x (*.f64 y y)) |
| ✓ | accuracy | 61.4% | (/.f64 (/.f64 (/.f64 x y) (*.f64 y (/.f64 y (/.f64 x y)))) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))) |
| 50.0ms | 256× | 0 | valid |
Compiled 134 to 19 computations (85.8% saved)
ival-div: 19.0ms (64.2% of total)ival-mult: 6.0ms (20.3% of total)ival-add: 3.0ms (10.1% of total)ival-sub: 1.0ms (3.4% of total)const: 1.0ms (3.4% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (- (/ (/ (/ x y) (* y (/ y (/ x y)))) (+ (/ x (* y y)) 3)) (/ 9 (+ (/ x (* y y)) 3)))> |
#<alt (/ (/ (/ x y) (* y (/ y (/ x y)))) (+ (/ x (* y y)) 3))> |
#<alt (/ (/ x y) (* y (/ y (/ x y))))> |
#<alt (/ x y)> |
#<alt (/ (+ x (* (* y y) -3)) (* y y))> |
#<alt (+ x (* (* y y) -3))> |
#<alt (* (* y y) -3)> |
#<alt (* y y)> |
#<alt (/ x (* y y))> |
#<alt (/ 9 (+ (/ x (* y y)) 3))> |
| Outputs |
|---|
#<alt -3> |
#<alt (- (/ x (pow y 2)) 3)> |
#<alt (- (/ x (pow y 2)) 3)> |
#<alt (- (/ x (pow y 2)) 3)> |
#<alt (/ x (pow y 2))> |
#<alt (* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))> |
#<alt (* x (- (+ (* -1 (/ (+ (* -9 (pow y 2)) (* 9 (pow y 2))) (pow x 2))) (/ 1 (pow y 2))) (* 3 (/ 1 x))))> |
#<alt (* x (- (+ (* -1 (/ (+ (* -27 (pow y 4)) (* 27 (pow y 4))) (pow x 3))) (/ 1 (pow y 2))) (+ (* -9 (/ (pow y 2) (pow x 2))) (+ (* 9 (/ (pow y 2) (pow x 2))) (* 3 (/ 1 x))))))> |
#<alt (/ x (pow y 2))> |
#<alt (* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))> |
#<alt (* -1 (* x (- (* -1 (/ (- (+ (* -9 (/ (pow y 2) x)) (* 9 (/ (pow y 2) x))) 3) x)) (/ 1 (pow y 2)))))> |
#<alt (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (+ (* -27 (/ (pow y 4) x)) (* 27 (/ (pow y 4) x))) (+ (* -9 (pow y 2)) (* 9 (pow y 2)))) x)) 3) x)) (/ 1 (pow y 2)))))> |
#<alt (/ x (pow y 2))> |
#<alt (/ (+ x (* -3 (pow y 2))) (pow y 2))> |
#<alt (/ (+ x (* -3 (pow y 2))) (pow y 2))> |
#<alt (/ (+ x (* -3 (pow y 2))) (pow y 2))> |
#<alt -3> |
#<alt (- (/ x (pow y 2)) 3)> |
#<alt (- (* -1 (/ (+ (* -1/9 (pow x 3)) (* 1/9 (pow x 3))) (pow y 6))) (+ 3 (* -1 (/ x (pow y 2)))))> |
#<alt (- (* -1 (/ (+ (* -1/27 (pow x 4)) (* 1/27 (pow x 4))) (pow y 8))) (+ 3 (+ (* -1 (/ x (pow y 2))) (+ (* -1/9 (/ (pow x 3) (pow y 6))) (* 1/9 (/ (pow x 3) (pow y 6)))))))> |
#<alt -3> |
#<alt (- (/ x (pow y 2)) 3)> |
#<alt (- (* -1 (/ (+ (* -1/9 (pow x 3)) (* 1/9 (pow x 3))) (pow y 6))) (+ 3 (* -1 (/ x (pow y 2)))))> |
#<alt (- (* -1 (/ (+ (* -1/27 (pow x 4)) (* 1/27 (pow x 4))) (pow y 8))) (+ 3 (+ (* -1 (/ x (pow y 2))) (+ (* -1/9 (/ (pow x 3) (pow y 6))) (* 1/9 (/ (pow x 3) (pow y 6)))))))> |
#<alt (* 1/3 (/ (pow x 2) (pow y 4)))> |
#<alt (* (pow x 2) (+ (* -1/9 (/ x (pow y 6))) (* 1/3 (/ 1 (pow y 4)))))> |
#<alt (* (pow x 2) (+ (* x (- (* 1/27 (/ x (pow y 8))) (* 1/9 (/ 1 (pow y 6))))) (* 1/3 (/ 1 (pow y 4)))))> |
#<alt (* (pow x 2) (+ (* x (- (* x (+ (* -1/81 (/ x (pow y 10))) (* 1/27 (/ 1 (pow y 8))))) (* 1/9 (/ 1 (pow y 6))))) (* 1/3 (/ 1 (pow y 4)))))> |
#<alt (/ x (pow y 2))> |
#<alt (* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))> |
#<alt (* x (- (+ (* 9 (/ (pow y 2) (pow x 2))) (/ 1 (pow y 2))) (* 3 (/ 1 x))))> |
#<alt (* x (- (+ (* -27 (/ (pow y 4) (pow x 3))) (/ 1 (pow y 2))) (+ (* -9 (/ (pow y 2) (pow x 2))) (* 3 (/ 1 x)))))> |
#<alt (/ x (pow y 2))> |
#<alt (* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))> |
#<alt (* -1 (* x (- (* -1 (/ (- (* 9 (/ (pow y 2) x)) 3) x)) (/ 1 (pow y 2)))))> |
#<alt (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 27 (/ (pow y 4) x)) (* 9 (pow y 2))) x)) 3) x)) (/ 1 (pow y 2)))))> |
#<alt (/ x (pow y 2))> |
#<alt (/ (+ x (* -3 (pow y 2))) (pow y 2))> |
#<alt (/ (+ x (* (pow y 2) (- (* 9 (/ (pow y 2) x)) 3))) (pow y 2))> |
#<alt (/ (+ x (* (pow y 2) (- (* (pow y 2) (+ (* -27 (/ (pow y 2) (pow x 2))) (* 9 (/ 1 x)))) 3))) (pow y 2))> |
#<alt (* 1/3 (/ (pow x 2) (pow y 4)))> |
#<alt (/ (+ (* -1/9 (/ (pow x 3) (pow y 2))) (* 1/3 (pow x 2))) (pow y 4))> |
#<alt (/ (- (+ (* 1/27 (/ (pow x 4) (pow y 4))) (* 1/3 (pow x 2))) (* 1/9 (/ (pow x 3) (pow y 2)))) (pow y 4))> |
#<alt (/ (- (+ (* -1/81 (/ (pow x 5) (pow y 6))) (* 1/3 (pow x 2))) (+ (* -1/27 (/ (pow x 4) (pow y 4))) (* 1/9 (/ (pow x 3) (pow y 2))))) (pow y 4))> |
#<alt (* 1/3 (/ (pow x 2) (pow y 4)))> |
#<alt (/ (+ (* -1/9 (/ (pow x 3) (pow y 2))) (* 1/3 (pow x 2))) (pow y 4))> |
#<alt (/ (- (+ (* 1/27 (/ (pow x 4) (pow y 4))) (* 1/3 (pow x 2))) (* 1/9 (/ (pow x 3) (pow y 2)))) (pow y 4))> |
#<alt (/ (- (+ (* -1/81 (/ (pow x 5) (pow y 6))) (* 1/3 (pow x 2))) (+ (* -1/27 (/ (pow x 4) (pow y 4))) (* 1/9 (/ (pow x 3) (pow y 2))))) (pow y 4))> |
#<alt (/ (pow x 2) (pow y 4))> |
#<alt (/ (pow x 2) (pow y 4))> |
#<alt (/ (pow x 2) (pow y 4))> |
#<alt (/ (pow x 2) (pow y 4))> |
#<alt (/ (pow x 2) (pow y 4))> |
#<alt (/ (pow x 2) (pow y 4))> |
#<alt (/ (pow x 2) (pow y 4))> |
#<alt (/ (pow x 2) (pow y 4))> |
#<alt (/ (pow x 2) (pow y 4))> |
#<alt (/ (pow x 2) (pow y 4))> |
#<alt (/ (pow x 2) (pow y 4))> |
#<alt (/ (pow x 2) (pow y 4))> |
#<alt (/ (pow x 2) (pow y 4))> |
#<alt (/ (pow x 2) (pow y 4))> |
#<alt (/ (pow x 2) (pow y 4))> |
#<alt (/ (pow x 2) (pow y 4))> |
#<alt (/ (pow x 2) (pow y 4))> |
#<alt (/ (pow x 2) (pow y 4))> |
#<alt (/ (pow x 2) (pow y 4))> |
#<alt (/ (pow x 2) (pow y 4))> |
#<alt (/ (pow x 2) (pow y 4))> |
#<alt (/ (pow x 2) (pow y 4))> |
#<alt (/ (pow x 2) (pow y 4))> |
#<alt (/ (pow x 2) (pow y 4))> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt -3> |
#<alt (- (/ x (pow y 2)) 3)> |
#<alt (- (/ x (pow y 2)) 3)> |
#<alt (- (/ x (pow y 2)) 3)> |
#<alt (/ x (pow y 2))> |
#<alt (* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))> |
#<alt (* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))> |
#<alt (* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))> |
#<alt (/ x (pow y 2))> |
#<alt (* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))> |
#<alt (* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))> |
#<alt (* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))> |
#<alt (/ x (pow y 2))> |
#<alt (/ (+ x (* -3 (pow y 2))) (pow y 2))> |
#<alt (/ (+ x (* -3 (pow y 2))) (pow y 2))> |
#<alt (/ (+ x (* -3 (pow y 2))) (pow y 2))> |
#<alt -3> |
#<alt (- (/ x (pow y 2)) 3)> |
#<alt (- (/ x (pow y 2)) 3)> |
#<alt (- (/ x (pow y 2)) 3)> |
#<alt -3> |
#<alt (- (/ x (pow y 2)) 3)> |
#<alt (- (/ x (pow y 2)) 3)> |
#<alt (- (/ x (pow y 2)) 3)> |
#<alt (* -3 (pow y 2))> |
#<alt (+ x (* -3 (pow y 2)))> |
#<alt (+ x (* -3 (pow y 2)))> |
#<alt (+ x (* -3 (pow y 2)))> |
#<alt x> |
#<alt (* x (+ 1 (* -3 (/ (pow y 2) x))))> |
#<alt (* x (+ 1 (* -3 (/ (pow y 2) x))))> |
#<alt (* x (+ 1 (* -3 (/ (pow y 2) x))))> |
#<alt x> |
#<alt (* -1 (* x (- (* 3 (/ (pow y 2) x)) 1)))> |
#<alt (* -1 (* x (- (* 3 (/ (pow y 2) x)) 1)))> |
#<alt (* -1 (* x (- (* 3 (/ (pow y 2) x)) 1)))> |
#<alt x> |
#<alt (+ x (* -3 (pow y 2)))> |
#<alt (+ x (* -3 (pow y 2)))> |
#<alt (+ x (* -3 (pow y 2)))> |
#<alt (* -3 (pow y 2))> |
#<alt (* (pow y 2) (- (/ x (pow y 2)) 3))> |
#<alt (* (pow y 2) (- (/ x (pow y 2)) 3))> |
#<alt (* (pow y 2) (- (/ x (pow y 2)) 3))> |
#<alt (* -3 (pow y 2))> |
#<alt (* (pow y 2) (- (/ x (pow y 2)) 3))> |
#<alt (* (pow y 2) (- (/ x (pow y 2)) 3))> |
#<alt (* (pow y 2) (- (/ x (pow y 2)) 3))> |
#<alt (* -3 (pow y 2))> |
#<alt (* -3 (pow y 2))> |
#<alt (* -3 (pow y 2))> |
#<alt (* -3 (pow y 2))> |
#<alt (* -3 (pow y 2))> |
#<alt (* -3 (pow y 2))> |
#<alt (* -3 (pow y 2))> |
#<alt (* -3 (pow y 2))> |
#<alt (* -3 (pow y 2))> |
#<alt (* -3 (pow y 2))> |
#<alt (* -3 (pow y 2))> |
#<alt (* -3 (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)> |
#<alt (pow y 2)> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt 3> |
#<alt (+ 3 (* -1 (/ x (pow y 2))))> |
#<alt (+ 3 (* x (- (* 1/3 (/ x (pow y 4))) (/ 1 (pow y 2)))))> |
#<alt (+ 3 (* x (- (* x (+ (* -1/9 (/ x (pow y 6))) (* 1/3 (/ 1 (pow y 4))))) (/ 1 (pow y 2)))))> |
#<alt (* 9 (/ (pow y 2) x))> |
#<alt (/ (+ (* -27 (/ (pow y 4) x)) (* 9 (pow y 2))) x)> |
#<alt (/ (- (+ (* 9 (pow y 2)) (* 81 (/ (pow y 6) (pow x 2)))) (* 27 (/ (pow y 4) x))) x)> |
#<alt (/ (- (+ (* -243 (/ (pow y 8) (pow x 3))) (* 9 (pow y 2))) (+ (* -81 (/ (pow y 6) (pow x 2))) (* 27 (/ (pow y 4) x)))) x)> |
#<alt (* 9 (/ (pow y 2) x))> |
#<alt (* -1 (/ (+ (* -9 (pow y 2)) (* 27 (/ (pow y 4) x))) x))> |
#<alt (* -1 (/ (+ (* -9 (pow y 2)) (* -1 (/ (- (* 81 (/ (pow y 6) x)) (* 27 (pow y 4))) x))) x))> |
#<alt (* -1 (/ (+ (* -9 (pow y 2)) (* -1 (/ (- (* -1 (/ (- (* 243 (/ (pow y 8) x)) (* 81 (pow y 6))) x)) (* 27 (pow y 4))) x))) x))> |
#<alt (* 9 (/ (pow y 2) x))> |
#<alt (* (pow y 2) (+ (* -27 (/ (pow y 2) (pow x 2))) (* 9 (/ 1 x))))> |
#<alt (* (pow y 2) (+ (* (pow y 2) (- (* 81 (/ (pow y 2) (pow x 3))) (* 27 (/ 1 (pow x 2))))) (* 9 (/ 1 x))))> |
#<alt (* (pow y 2) (+ (* (pow y 2) (- (* (pow y 2) (+ (* -243 (/ (pow y 2) (pow x 4))) (* 81 (/ 1 (pow x 3))))) (* 27 (/ 1 (pow x 2))))) (* 9 (/ 1 x))))> |
#<alt 3> |
#<alt (+ 3 (* -1 (/ x (pow y 2))))> |
#<alt (- (+ 3 (* 1/3 (/ (pow x 2) (pow y 4)))) (/ x (pow y 2)))> |
#<alt (- (+ 3 (* -1/9 (/ (pow x 3) (pow y 6)))) (+ (* -1/3 (/ (pow x 2) (pow y 4))) (/ x (pow y 2))))> |
#<alt 3> |
#<alt (+ 3 (* -1 (/ x (pow y 2))))> |
#<alt (- (+ 3 (* 1/3 (/ (pow x 2) (pow y 4)))) (/ x (pow y 2)))> |
#<alt (- (+ 3 (* -1/9 (/ (pow x 3) (pow y 6)))) (+ (* -1/3 (/ (pow x 2) (pow y 4))) (/ x (pow y 2))))> |
54 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | x | @ | inf | (+ x (* (* y y) -3)) |
| 3.0ms | x | @ | inf | (- (/ (/ (/ x y) (* y (/ y (/ x y)))) (+ (/ x (* y y)) 3)) (/ 9 (+ (/ x (* y y)) 3))) |
| 2.0ms | x | @ | 0 | (- (/ (/ (/ x y) (* y (/ y (/ x y)))) (+ (/ x (* y y)) 3)) (/ 9 (+ (/ x (* y y)) 3))) |
| 1.0ms | y | @ | 0 | (- (/ (/ (/ x y) (* y (/ y (/ x y)))) (+ (/ x (* y y)) 3)) (/ 9 (+ (/ x (* y y)) 3))) |
| 1.0ms | y | @ | inf | (- (/ (/ (/ x y) (* y (/ y (/ x y)))) (+ (/ x (* y y)) 3)) (/ 9 (+ (/ x (* y y)) 3))) |
| 1× | batch-egg-rewrite |
| 4626× | /-lowering-/.f32 |
| 4626× | /-lowering-/.f64 |
| 2868× | *-lowering-*.f32 |
| 2868× | *-lowering-*.f64 |
| 1392× | +-lowering-+.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 82 |
| 1 | 128 | 57 |
| 2 | 1491 | 57 |
| 0 | 8251 | 57 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (/ (/ (/ x y) (* y (/ y (/ x y)))) (+ (/ x (* y y)) 3)) (/ 9 (+ (/ x (* y y)) 3))) |
(/ (/ (/ x y) (* y (/ y (/ x y)))) (+ (/ x (* y y)) 3)) |
(/ (/ x y) (* y (/ y (/ x y)))) |
(/ x y) |
(/ (+ x (* (* y y) -3)) (* y y)) |
(+ x (* (* y y) -3)) |
(* (* y y) -3) |
(* y y) |
(/ x (* y y)) |
(/ 9 (+ (/ x (* y y)) 3)) |
| Outputs |
|---|
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(+.f64 (/.f64 x (*.f64 (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) (/.f64 y (/.f64 (/.f64 x (*.f64 y y)) y)))) (/.f64 #s(literal -9 binary64) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)))) |
(+.f64 (/.f64 #s(literal -9 binary64) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))) (/.f64 x (*.f64 (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) (/.f64 y (/.f64 (/.f64 x (*.f64 y y)) y))))) |
(+.f64 (+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)))) #s(literal 9 binary64)) (/.f64 #s(literal 9 binary64) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))))) |
(+.f64 (+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) (fma.f64 #s(literal -9 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))) (/.f64 #s(literal 9 binary64) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))))) |
(+.f64 (/.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))) (/.f64 y (/.f64 (/.f64 x (*.f64 y y)) y))) (*.f64 (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)))) (neg.f64 (/.f64 (*.f64 (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) #s(literal 9 binary64)) (*.f64 (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)))))) |
(+.f64 (/.f64 (/.f64 (/.f64 x (*.f64 (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) (/.f64 y (/.f64 (/.f64 x (*.f64 y y)) y)))) (/.f64 (/.f64 (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) (/.f64 (/.f64 x y) (/.f64 y (/.f64 x (*.f64 y y))))) (/.f64 x (*.f64 (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) (/.f64 y (/.f64 (/.f64 x (*.f64 y y)) y)))))) (+.f64 (/.f64 (*.f64 (/.f64 (/.f64 x y) (/.f64 y (/.f64 x (*.f64 y y)))) (/.f64 (/.f64 x y) (/.f64 y (/.f64 x (*.f64 y y))))) (*.f64 (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)))) (*.f64 (/.f64 #s(literal 9 binary64) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))) (/.f64 (-.f64 (/.f64 (/.f64 x y) (/.f64 y (/.f64 x (*.f64 y y)))) #s(literal -9 binary64)) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)))))) (neg.f64 (/.f64 (/.f64 #s(literal 729 binary64) (*.f64 (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) (*.f64 (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))))) (+.f64 (/.f64 (*.f64 (/.f64 (/.f64 x y) (/.f64 y (/.f64 x (*.f64 y y)))) (/.f64 (/.f64 x y) (/.f64 y (/.f64 x (*.f64 y y))))) (*.f64 (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)))) (*.f64 (/.f64 #s(literal 9 binary64) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))) (/.f64 (-.f64 (/.f64 (/.f64 x y) (/.f64 y (/.f64 x (*.f64 y y)))) #s(literal -9 binary64)) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)))))))) |
(+.f64 (/.f64 (/.f64 (*.f64 (/.f64 (/.f64 x y) (/.f64 y (/.f64 x (*.f64 y y)))) (/.f64 (/.f64 x y) (/.f64 y (/.f64 x (*.f64 y y))))) (*.f64 (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)))) (/.f64 (-.f64 (/.f64 (/.f64 x y) (/.f64 y (/.f64 x (*.f64 y y)))) #s(literal -9 binary64)) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)))) (neg.f64 (/.f64 (/.f64 #s(literal 81 binary64) (*.f64 (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)))) (/.f64 (-.f64 (/.f64 (/.f64 x y) (/.f64 y (/.f64 x (*.f64 y y)))) #s(literal -9 binary64)) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)))))) |
(+.f64 (fma.f64 x (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) (/.f64 (/.f64 x (*.f64 y y)) y))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y)))) #s(literal -9 binary64)))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y))))) #s(literal -9 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y)))) #s(literal -9 binary64)))) |
(+.f64 (fma.f64 x (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) (/.f64 (/.f64 x (*.f64 y y)) y))) (neg.f64 (*.f64 (/.f64 #s(literal 9 binary64) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))) #s(literal 1 binary64)))) (fma.f64 (/.f64 #s(literal -9 binary64) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 9 binary64) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))) #s(literal 1 binary64)))) |
(+.f64 (fma.f64 x (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) (/.f64 (/.f64 x (*.f64 y y)) y))) (neg.f64 (*.f64 (-.f64 (+.f64 (/.f64 (/.f64 x y) (/.f64 y (/.f64 x (*.f64 y y)))) #s(literal 9 binary64)) (/.f64 #s(literal 3 binary64) (/.f64 y (/.f64 x y)))) (/.f64 #s(literal 9 binary64) (+.f64 (/.f64 (/.f64 (/.f64 x y) (/.f64 y (/.f64 x (*.f64 y y)))) (/.f64 y (/.f64 x y))) #s(literal 27 binary64)))))) (fma.f64 (-.f64 #s(literal 0 binary64) (-.f64 (+.f64 (/.f64 (/.f64 x y) (/.f64 y (/.f64 x (*.f64 y y)))) #s(literal 9 binary64)) (/.f64 #s(literal 3 binary64) (/.f64 y (/.f64 x y))))) (/.f64 #s(literal 9 binary64) (+.f64 (/.f64 (/.f64 (/.f64 x y) (/.f64 y (/.f64 x (*.f64 y y)))) (/.f64 y (/.f64 x y))) #s(literal 27 binary64))) (*.f64 (-.f64 (+.f64 (/.f64 (/.f64 x y) (/.f64 y (/.f64 x (*.f64 y y)))) #s(literal 9 binary64)) (/.f64 #s(literal 3 binary64) (/.f64 y (/.f64 x y)))) (/.f64 #s(literal 9 binary64) (+.f64 (/.f64 (/.f64 (/.f64 x y) (/.f64 y (/.f64 x (*.f64 y y)))) (/.f64 y (/.f64 x y))) #s(literal 27 binary64)))))) |
(+.f64 (fma.f64 x (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) (/.f64 (/.f64 x (*.f64 y y)) y))) (neg.f64 (*.f64 (+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) (/.f64 #s(literal 9 binary64) (+.f64 (/.f64 (/.f64 x y) (/.f64 y (/.f64 x (*.f64 y y)))) #s(literal -9 binary64)))))) (fma.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))) (/.f64 #s(literal 9 binary64) (+.f64 (/.f64 (/.f64 x y) (/.f64 y (/.f64 x (*.f64 y y)))) #s(literal -9 binary64))) (*.f64 (+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) (/.f64 #s(literal 9 binary64) (+.f64 (/.f64 (/.f64 x y) (/.f64 y (/.f64 x (*.f64 y y)))) #s(literal -9 binary64)))))) |
(+.f64 (fma.f64 (/.f64 x y) (/.f64 (/.f64 (/.f64 x (*.f64 y y)) y) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y)))) #s(literal -9 binary64)))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y))))) #s(literal -9 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y)))) #s(literal -9 binary64)))) |
(+.f64 (fma.f64 (/.f64 x y) (/.f64 (/.f64 (/.f64 x (*.f64 y y)) y) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))) (neg.f64 (*.f64 (/.f64 #s(literal 9 binary64) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))) #s(literal 1 binary64)))) (fma.f64 (/.f64 #s(literal -9 binary64) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 9 binary64) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))) #s(literal 1 binary64)))) |
(+.f64 (fma.f64 (/.f64 x y) (/.f64 (/.f64 (/.f64 x (*.f64 y y)) y) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))) (neg.f64 (*.f64 (-.f64 (+.f64 (/.f64 (/.f64 x y) (/.f64 y (/.f64 x (*.f64 y y)))) #s(literal 9 binary64)) (/.f64 #s(literal 3 binary64) (/.f64 y (/.f64 x y)))) (/.f64 #s(literal 9 binary64) (+.f64 (/.f64 (/.f64 (/.f64 x y) (/.f64 y (/.f64 x (*.f64 y y)))) (/.f64 y (/.f64 x y))) #s(literal 27 binary64)))))) (fma.f64 (-.f64 #s(literal 0 binary64) (-.f64 (+.f64 (/.f64 (/.f64 x y) (/.f64 y (/.f64 x (*.f64 y y)))) #s(literal 9 binary64)) (/.f64 #s(literal 3 binary64) (/.f64 y (/.f64 x y))))) (/.f64 #s(literal 9 binary64) (+.f64 (/.f64 (/.f64 (/.f64 x y) (/.f64 y (/.f64 x (*.f64 y y)))) (/.f64 y (/.f64 x y))) #s(literal 27 binary64))) (*.f64 (-.f64 (+.f64 (/.f64 (/.f64 x y) (/.f64 y (/.f64 x (*.f64 y y)))) #s(literal 9 binary64)) (/.f64 #s(literal 3 binary64) (/.f64 y (/.f64 x y)))) (/.f64 #s(literal 9 binary64) (+.f64 (/.f64 (/.f64 (/.f64 x y) (/.f64 y (/.f64 x (*.f64 y y)))) (/.f64 y (/.f64 x y))) #s(literal 27 binary64)))))) |
(+.f64 (fma.f64 (/.f64 x y) (/.f64 (/.f64 (/.f64 x (*.f64 y y)) y) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))) (neg.f64 (*.f64 (+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) (/.f64 #s(literal 9 binary64) (+.f64 (/.f64 (/.f64 x y) (/.f64 y (/.f64 x (*.f64 y y)))) #s(literal -9 binary64)))))) (fma.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))) (/.f64 #s(literal 9 binary64) (+.f64 (/.f64 (/.f64 x y) (/.f64 y (/.f64 x (*.f64 y y)))) #s(literal -9 binary64))) (*.f64 (+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) (/.f64 #s(literal 9 binary64) (+.f64 (/.f64 (/.f64 x y) (/.f64 y (/.f64 x (*.f64 y y)))) #s(literal -9 binary64)))))) |
(+.f64 (fma.f64 (/.f64 (/.f64 x y) (/.f64 y (/.f64 x (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y)))) #s(literal -9 binary64)))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y))))) #s(literal -9 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y)))) #s(literal -9 binary64)))) |
(+.f64 (fma.f64 (/.f64 (/.f64 x y) (/.f64 y (/.f64 x (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))) (neg.f64 (*.f64 (/.f64 #s(literal 9 binary64) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))) #s(literal 1 binary64)))) (fma.f64 (/.f64 #s(literal -9 binary64) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 9 binary64) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))) #s(literal 1 binary64)))) |
(+.f64 (fma.f64 (/.f64 (/.f64 x y) (/.f64 y (/.f64 x (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))) (neg.f64 (*.f64 (-.f64 (+.f64 (/.f64 (/.f64 x y) (/.f64 y (/.f64 x (*.f64 y y)))) #s(literal 9 binary64)) (/.f64 #s(literal 3 binary64) (/.f64 y (/.f64 x y)))) (/.f64 #s(literal 9 binary64) (+.f64 (/.f64 (/.f64 (/.f64 x y) (/.f64 y (/.f64 x (*.f64 y y)))) (/.f64 y (/.f64 x y))) #s(literal 27 binary64)))))) (fma.f64 (-.f64 #s(literal 0 binary64) (-.f64 (+.f64 (/.f64 (/.f64 x y) (/.f64 y (/.f64 x (*.f64 y y)))) #s(literal 9 binary64)) (/.f64 #s(literal 3 binary64) (/.f64 y (/.f64 x y))))) (/.f64 #s(literal 9 binary64) (+.f64 (/.f64 (/.f64 (/.f64 x y) (/.f64 y (/.f64 x (*.f64 y y)))) (/.f64 y (/.f64 x y))) #s(literal 27 binary64))) (*.f64 (-.f64 (+.f64 (/.f64 (/.f64 x y) (/.f64 y (/.f64 x (*.f64 y y)))) #s(literal 9 binary64)) (/.f64 #s(literal 3 binary64) (/.f64 y (/.f64 x y)))) (/.f64 #s(literal 9 binary64) (+.f64 (/.f64 (/.f64 (/.f64 x y) (/.f64 y (/.f64 x (*.f64 y y)))) (/.f64 y (/.f64 x y))) #s(literal 27 binary64)))))) |
(+.f64 (fma.f64 (/.f64 (/.f64 x y) (/.f64 y (/.f64 x (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))) (neg.f64 (*.f64 (+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) (/.f64 #s(literal 9 binary64) (+.f64 (/.f64 (/.f64 x y) (/.f64 y (/.f64 x (*.f64 y y)))) #s(literal -9 binary64)))))) (fma.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))) (/.f64 #s(literal 9 binary64) (+.f64 (/.f64 (/.f64 x y) (/.f64 y (/.f64 x (*.f64 y y)))) #s(literal -9 binary64))) (*.f64 (+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) (/.f64 #s(literal 9 binary64) (+.f64 (/.f64 (/.f64 x y) (/.f64 y (/.f64 x (*.f64 y y)))) #s(literal -9 binary64)))))) |
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| 1× | egg-herbie |
| 4498× | *-lowering-*.f32 |
| 4498× | *-lowering-*.f64 |
| 1764× | +-lowering-+.f64 |
| 1764× | +-lowering-+.f32 |
| 1704× | fma-lowering-fma.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 271 | 1816 |
| 1 | 847 | 1556 |
| 2 | 2692 | 1543 |
| 0 | 8753 | 1543 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
-3 |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(/ x (pow y 2)) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(* x (- (+ (* -1 (/ (+ (* -9 (pow y 2)) (* 9 (pow y 2))) (pow x 2))) (/ 1 (pow y 2))) (* 3 (/ 1 x)))) |
(* x (- (+ (* -1 (/ (+ (* -27 (pow y 4)) (* 27 (pow y 4))) (pow x 3))) (/ 1 (pow y 2))) (+ (* -9 (/ (pow y 2) (pow x 2))) (+ (* 9 (/ (pow y 2) (pow x 2))) (* 3 (/ 1 x)))))) |
(/ x (pow y 2)) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -9 (/ (pow y 2) x)) (* 9 (/ (pow y 2) x))) 3) x)) (/ 1 (pow y 2))))) |
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (+ (* -27 (/ (pow y 4) x)) (* 27 (/ (pow y 4) x))) (+ (* -9 (pow y 2)) (* 9 (pow y 2)))) x)) 3) x)) (/ 1 (pow y 2))))) |
(/ x (pow y 2)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
-3 |
(- (/ x (pow y 2)) 3) |
(- (* -1 (/ (+ (* -1/9 (pow x 3)) (* 1/9 (pow x 3))) (pow y 6))) (+ 3 (* -1 (/ x (pow y 2))))) |
(- (* -1 (/ (+ (* -1/27 (pow x 4)) (* 1/27 (pow x 4))) (pow y 8))) (+ 3 (+ (* -1 (/ x (pow y 2))) (+ (* -1/9 (/ (pow x 3) (pow y 6))) (* 1/9 (/ (pow x 3) (pow y 6))))))) |
-3 |
(- (/ x (pow y 2)) 3) |
(- (* -1 (/ (+ (* -1/9 (pow x 3)) (* 1/9 (pow x 3))) (pow y 6))) (+ 3 (* -1 (/ x (pow y 2))))) |
(- (* -1 (/ (+ (* -1/27 (pow x 4)) (* 1/27 (pow x 4))) (pow y 8))) (+ 3 (+ (* -1 (/ x (pow y 2))) (+ (* -1/9 (/ (pow x 3) (pow y 6))) (* 1/9 (/ (pow x 3) (pow y 6))))))) |
(* 1/3 (/ (pow x 2) (pow y 4))) |
(* (pow x 2) (+ (* -1/9 (/ x (pow y 6))) (* 1/3 (/ 1 (pow y 4))))) |
(* (pow x 2) (+ (* x (- (* 1/27 (/ x (pow y 8))) (* 1/9 (/ 1 (pow y 6))))) (* 1/3 (/ 1 (pow y 4))))) |
(* (pow x 2) (+ (* x (- (* x (+ (* -1/81 (/ x (pow y 10))) (* 1/27 (/ 1 (pow y 8))))) (* 1/9 (/ 1 (pow y 6))))) (* 1/3 (/ 1 (pow y 4))))) |
(/ x (pow y 2)) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(* x (- (+ (* 9 (/ (pow y 2) (pow x 2))) (/ 1 (pow y 2))) (* 3 (/ 1 x)))) |
(* x (- (+ (* -27 (/ (pow y 4) (pow x 3))) (/ 1 (pow y 2))) (+ (* -9 (/ (pow y 2) (pow x 2))) (* 3 (/ 1 x))))) |
(/ x (pow y 2)) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(* -1 (* x (- (* -1 (/ (- (* 9 (/ (pow y 2) x)) 3) x)) (/ 1 (pow y 2))))) |
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 27 (/ (pow y 4) x)) (* 9 (pow y 2))) x)) 3) x)) (/ 1 (pow y 2))))) |
(/ x (pow y 2)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(/ (+ x (* (pow y 2) (- (* 9 (/ (pow y 2) x)) 3))) (pow y 2)) |
(/ (+ x (* (pow y 2) (- (* (pow y 2) (+ (* -27 (/ (pow y 2) (pow x 2))) (* 9 (/ 1 x)))) 3))) (pow y 2)) |
(* 1/3 (/ (pow x 2) (pow y 4))) |
(/ (+ (* -1/9 (/ (pow x 3) (pow y 2))) (* 1/3 (pow x 2))) (pow y 4)) |
(/ (- (+ (* 1/27 (/ (pow x 4) (pow y 4))) (* 1/3 (pow x 2))) (* 1/9 (/ (pow x 3) (pow y 2)))) (pow y 4)) |
(/ (- (+ (* -1/81 (/ (pow x 5) (pow y 6))) (* 1/3 (pow x 2))) (+ (* -1/27 (/ (pow x 4) (pow y 4))) (* 1/9 (/ (pow x 3) (pow y 2))))) (pow y 4)) |
(* 1/3 (/ (pow x 2) (pow y 4))) |
(/ (+ (* -1/9 (/ (pow x 3) (pow y 2))) (* 1/3 (pow x 2))) (pow y 4)) |
(/ (- (+ (* 1/27 (/ (pow x 4) (pow y 4))) (* 1/3 (pow x 2))) (* 1/9 (/ (pow x 3) (pow y 2)))) (pow y 4)) |
(/ (- (+ (* -1/81 (/ (pow x 5) (pow y 6))) (* 1/3 (pow x 2))) (+ (* -1/27 (/ (pow x 4) (pow y 4))) (* 1/9 (/ (pow x 3) (pow y 2))))) (pow y 4)) |
(/ (pow x 2) (pow y 4)) |
(/ (pow x 2) (pow y 4)) |
(/ (pow x 2) (pow y 4)) |
(/ (pow x 2) (pow y 4)) |
(/ (pow x 2) (pow y 4)) |
(/ (pow x 2) (pow y 4)) |
(/ (pow x 2) (pow y 4)) |
(/ (pow x 2) (pow y 4)) |
(/ (pow x 2) (pow y 4)) |
(/ (pow x 2) (pow y 4)) |
(/ (pow x 2) (pow y 4)) |
(/ (pow x 2) (pow y 4)) |
(/ (pow x 2) (pow y 4)) |
(/ (pow x 2) (pow y 4)) |
(/ (pow x 2) (pow y 4)) |
(/ (pow x 2) (pow y 4)) |
(/ (pow x 2) (pow y 4)) |
(/ (pow x 2) (pow y 4)) |
(/ (pow x 2) (pow y 4)) |
(/ (pow x 2) (pow y 4)) |
(/ (pow x 2) (pow y 4)) |
(/ (pow x 2) (pow y 4)) |
(/ (pow x 2) (pow y 4)) |
(/ (pow x 2) (pow y 4)) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
-3 |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(/ x (pow y 2)) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(/ x (pow y 2)) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(/ x (pow y 2)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
-3 |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
-3 |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(* -3 (pow y 2)) |
(+ x (* -3 (pow y 2))) |
(+ x (* -3 (pow y 2))) |
(+ x (* -3 (pow y 2))) |
x |
(* x (+ 1 (* -3 (/ (pow y 2) x)))) |
(* x (+ 1 (* -3 (/ (pow y 2) x)))) |
(* x (+ 1 (* -3 (/ (pow y 2) x)))) |
x |
(* -1 (* x (- (* 3 (/ (pow y 2) x)) 1))) |
(* -1 (* x (- (* 3 (/ (pow y 2) x)) 1))) |
(* -1 (* x (- (* 3 (/ (pow y 2) x)) 1))) |
x |
(+ x (* -3 (pow y 2))) |
(+ x (* -3 (pow y 2))) |
(+ x (* -3 (pow y 2))) |
(* -3 (pow y 2)) |
(* (pow y 2) (- (/ x (pow y 2)) 3)) |
(* (pow y 2) (- (/ x (pow y 2)) 3)) |
(* (pow y 2) (- (/ x (pow y 2)) 3)) |
(* -3 (pow y 2)) |
(* (pow y 2) (- (/ x (pow y 2)) 3)) |
(* (pow y 2) (- (/ x (pow y 2)) 3)) |
(* (pow y 2) (- (/ x (pow y 2)) 3)) |
(* -3 (pow y 2)) |
(* -3 (pow y 2)) |
(* -3 (pow y 2)) |
(* -3 (pow y 2)) |
(* -3 (pow y 2)) |
(* -3 (pow y 2)) |
(* -3 (pow y 2)) |
(* -3 (pow y 2)) |
(* -3 (pow y 2)) |
(* -3 (pow y 2)) |
(* -3 (pow y 2)) |
(* -3 (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) |
(pow y 2) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
3 |
(+ 3 (* -1 (/ x (pow y 2)))) |
(+ 3 (* x (- (* 1/3 (/ x (pow y 4))) (/ 1 (pow y 2))))) |
(+ 3 (* x (- (* x (+ (* -1/9 (/ x (pow y 6))) (* 1/3 (/ 1 (pow y 4))))) (/ 1 (pow y 2))))) |
(* 9 (/ (pow y 2) x)) |
(/ (+ (* -27 (/ (pow y 4) x)) (* 9 (pow y 2))) x) |
(/ (- (+ (* 9 (pow y 2)) (* 81 (/ (pow y 6) (pow x 2)))) (* 27 (/ (pow y 4) x))) x) |
(/ (- (+ (* -243 (/ (pow y 8) (pow x 3))) (* 9 (pow y 2))) (+ (* -81 (/ (pow y 6) (pow x 2))) (* 27 (/ (pow y 4) x)))) x) |
(* 9 (/ (pow y 2) x)) |
(* -1 (/ (+ (* -9 (pow y 2)) (* 27 (/ (pow y 4) x))) x)) |
(* -1 (/ (+ (* -9 (pow y 2)) (* -1 (/ (- (* 81 (/ (pow y 6) x)) (* 27 (pow y 4))) x))) x)) |
(* -1 (/ (+ (* -9 (pow y 2)) (* -1 (/ (- (* -1 (/ (- (* 243 (/ (pow y 8) x)) (* 81 (pow y 6))) x)) (* 27 (pow y 4))) x))) x)) |
(* 9 (/ (pow y 2) x)) |
(* (pow y 2) (+ (* -27 (/ (pow y 2) (pow x 2))) (* 9 (/ 1 x)))) |
(* (pow y 2) (+ (* (pow y 2) (- (* 81 (/ (pow y 2) (pow x 3))) (* 27 (/ 1 (pow x 2))))) (* 9 (/ 1 x)))) |
(* (pow y 2) (+ (* (pow y 2) (- (* (pow y 2) (+ (* -243 (/ (pow y 2) (pow x 4))) (* 81 (/ 1 (pow x 3))))) (* 27 (/ 1 (pow x 2))))) (* 9 (/ 1 x)))) |
3 |
(+ 3 (* -1 (/ x (pow y 2)))) |
(- (+ 3 (* 1/3 (/ (pow x 2) (pow y 4)))) (/ x (pow y 2))) |
(- (+ 3 (* -1/9 (/ (pow x 3) (pow y 6)))) (+ (* -1/3 (/ (pow x 2) (pow y 4))) (/ x (pow y 2)))) |
3 |
(+ 3 (* -1 (/ x (pow y 2)))) |
(- (+ 3 (* 1/3 (/ (pow x 2) (pow y 4)))) (/ x (pow y 2))) |
(- (+ 3 (* -1/9 (/ (pow x 3) (pow y 6)))) (+ (* -1/3 (/ (pow x 2) (pow y 4))) (/ x (pow y 2)))) |
| Outputs |
|---|
-3 |
#s(literal -3 binary64) |
(- (/ x (pow y 2)) 3) |
(+.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y))) |
(- (/ x (pow y 2)) 3) |
(+.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y))) |
(- (/ x (pow y 2)) 3) |
(+.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y))) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal -3 binary64) x))) |
(* x (- (+ (* -1 (/ (+ (* -9 (pow y 2)) (* 9 (pow y 2))) (pow x 2))) (/ 1 (pow y 2))) (* 3 (/ 1 x)))) |
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal -3 binary64) x))) |
(* x (- (+ (* -1 (/ (+ (* -27 (pow y 4)) (* 27 (pow y 4))) (pow x 3))) (/ 1 (pow y 2))) (+ (* -9 (/ (pow y 2) (pow x 2))) (+ (* 9 (/ (pow y 2) (pow x 2))) (* 3 (/ 1 x)))))) |
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal -3 binary64) x))) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal -3 binary64) x))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -9 (/ (pow y 2) x)) (* 9 (/ (pow y 2) x))) 3) x)) (/ 1 (pow y 2))))) |
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal -3 binary64) x))) |
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (+ (* -27 (/ (pow y 4) x)) (* 27 (/ (pow y 4) x))) (+ (* -9 (pow y 2)) (* 9 (pow y 2)))) x)) 3) x)) (/ 1 (pow y 2))))) |
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal -3 binary64) x))) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(/.f64 (+.f64 x (*.f64 #s(literal -3 binary64) (*.f64 y y))) (*.f64 y y)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(/.f64 (+.f64 x (*.f64 #s(literal -3 binary64) (*.f64 y y))) (*.f64 y y)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(/.f64 (+.f64 x (*.f64 #s(literal -3 binary64) (*.f64 y y))) (*.f64 y y)) |
-3 |
#s(literal -3 binary64) |
(- (/ x (pow y 2)) 3) |
(+.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y))) |
(- (* -1 (/ (+ (* -1/9 (pow x 3)) (* 1/9 (pow x 3))) (pow y 6))) (+ 3 (* -1 (/ x (pow y 2))))) |
(+.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y))) |
(- (* -1 (/ (+ (* -1/27 (pow x 4)) (* 1/27 (pow x 4))) (pow y 8))) (+ 3 (+ (* -1 (/ x (pow y 2))) (+ (* -1/9 (/ (pow x 3) (pow y 6))) (* 1/9 (/ (pow x 3) (pow y 6))))))) |
(+.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y))) |
-3 |
#s(literal -3 binary64) |
(- (/ x (pow y 2)) 3) |
(+.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y))) |
(- (* -1 (/ (+ (* -1/9 (pow x 3)) (* 1/9 (pow x 3))) (pow y 6))) (+ 3 (* -1 (/ x (pow y 2))))) |
(+.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y))) |
(- (* -1 (/ (+ (* -1/27 (pow x 4)) (* 1/27 (pow x 4))) (pow y 8))) (+ 3 (+ (* -1 (/ x (pow y 2))) (+ (* -1/9 (/ (pow x 3) (pow y 6))) (* 1/9 (/ (pow x 3) (pow y 6))))))) |
(+.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y))) |
(* 1/3 (/ (pow x 2) (pow y 4))) |
(/.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 y (*.f64 y (*.f64 y y)))) |
(* (pow x 2) (+ (* -1/9 (/ x (pow y 6))) (* 1/3 (/ 1 (pow y 4))))) |
(*.f64 x (*.f64 x (+.f64 (/.f64 (*.f64 x #s(literal -1/9 binary64)) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 y (*.f64 y y))))))) |
(* (pow x 2) (+ (* x (- (* 1/27 (/ x (pow y 8))) (* 1/9 (/ 1 (pow y 6))))) (* 1/3 (/ 1 (pow y 4))))) |
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 x (-.f64 (/.f64 (*.f64 x #s(literal 1/27 binary64)) (pow.f64 y #s(literal 8 binary64))) (/.f64 #s(literal 1/9 binary64) (pow.f64 y #s(literal 6 binary64))))))) |
(* (pow x 2) (+ (* x (- (* x (+ (* -1/81 (/ x (pow y 10))) (* 1/27 (/ 1 (pow y 8))))) (* 1/9 (/ 1 (pow y 6))))) (* 1/3 (/ 1 (pow y 4))))) |
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 x (+.f64 (*.f64 x (+.f64 (/.f64 (*.f64 x #s(literal -1/81 binary64)) (pow.f64 y #s(literal 10 binary64))) (/.f64 #s(literal 1/27 binary64) (pow.f64 y #s(literal 8 binary64))))) (/.f64 #s(literal -1/9 binary64) (pow.f64 y #s(literal 6 binary64))))))) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal -3 binary64) x))) |
(* x (- (+ (* 9 (/ (pow y 2) (pow x 2))) (/ 1 (pow y 2))) (* 3 (/ 1 x)))) |
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 (+.f64 #s(literal 3 binary64) (/.f64 (*.f64 (*.f64 y y) #s(literal -9 binary64)) x)) x))) |
(* x (- (+ (* -27 (/ (pow y 4) (pow x 3))) (/ 1 (pow y 2))) (+ (* -9 (/ (pow y 2) (pow x 2))) (* 3 (/ 1 x))))) |
(*.f64 x (+.f64 (/.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal -27 binary64))) (*.f64 x (*.f64 x x))) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 (+.f64 #s(literal 3 binary64) (/.f64 (*.f64 (*.f64 y y) #s(literal -9 binary64)) x)) x)))) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal -3 binary64) x))) |
(* -1 (* x (- (* -1 (/ (- (* 9 (/ (pow y 2) x)) 3) x)) (/ 1 (pow y 2))))) |
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 (+.f64 #s(literal 3 binary64) (/.f64 (*.f64 (*.f64 y y) #s(literal -9 binary64)) x)) x))) |
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 27 (/ (pow y 4) x)) (* 9 (pow y 2))) x)) 3) x)) (/ 1 (pow y 2))))) |
(*.f64 x (+.f64 (/.f64 (+.f64 #s(literal -3 binary64) (*.f64 (*.f64 y y) (+.f64 (/.f64 #s(literal 9 binary64) x) (/.f64 (*.f64 (*.f64 y y) #s(literal -27 binary64)) (*.f64 x x))))) x) (/.f64 #s(literal 1 binary64) (*.f64 y y)))) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(/.f64 (+.f64 x (*.f64 #s(literal -3 binary64) (*.f64 y y))) (*.f64 y y)) |
(/ (+ x (* (pow y 2) (- (* 9 (/ (pow y 2) x)) 3))) (pow y 2)) |
(/.f64 (+.f64 x (*.f64 (*.f64 y y) (+.f64 #s(literal -3 binary64) (/.f64 (*.f64 (*.f64 y y) #s(literal 9 binary64)) x)))) (*.f64 y y)) |
(/ (+ x (* (pow y 2) (- (* (pow y 2) (+ (* -27 (/ (pow y 2) (pow x 2))) (* 9 (/ 1 x)))) 3))) (pow y 2)) |
(/.f64 (+.f64 x (*.f64 (*.f64 y y) (+.f64 #s(literal -3 binary64) (*.f64 (*.f64 y y) (+.f64 (/.f64 #s(literal 9 binary64) x) (/.f64 (*.f64 (*.f64 y y) #s(literal -27 binary64)) (*.f64 x x))))))) (*.f64 y y)) |
(* 1/3 (/ (pow x 2) (pow y 4))) |
(/.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 y (*.f64 y (*.f64 y y)))) |
(/ (+ (* -1/9 (/ (pow x 3) (pow y 2))) (* 1/3 (pow x 2))) (pow y 4)) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (/.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/9 binary64)))) (*.f64 y y))) (*.f64 y (*.f64 y (*.f64 y y)))) |
(/ (- (+ (* 1/27 (/ (pow x 4) (pow y 4))) (* 1/3 (pow x 2))) (* 1/9 (/ (pow x 3) (pow y 2)))) (pow y 4)) |
(/.f64 (+.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/9 binary64))) (*.f64 y y)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (/.f64 (*.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 y (*.f64 y (*.f64 y y)))))) (*.f64 y (*.f64 y (*.f64 y y)))) |
(/ (- (+ (* -1/81 (/ (pow x 5) (pow y 6))) (* 1/3 (pow x 2))) (+ (* -1/27 (/ (pow x 4) (pow y 4))) (* 1/9 (/ (pow x 3) (pow y 2))))) (pow y 4)) |
(/.f64 (+.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/9 binary64))) (*.f64 y y)) (+.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/27 binary64)) (*.f64 y (*.f64 y (*.f64 y y)))) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (/.f64 (*.f64 #s(literal -1/81 binary64) (pow.f64 x #s(literal 5 binary64))) (pow.f64 y #s(literal 6 binary64)))))) (*.f64 y (*.f64 y (*.f64 y y)))) |
(* 1/3 (/ (pow x 2) (pow y 4))) |
(/.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 y (*.f64 y (*.f64 y y)))) |
(/ (+ (* -1/9 (/ (pow x 3) (pow y 2))) (* 1/3 (pow x 2))) (pow y 4)) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (/.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/9 binary64)))) (*.f64 y y))) (*.f64 y (*.f64 y (*.f64 y y)))) |
(/ (- (+ (* 1/27 (/ (pow x 4) (pow y 4))) (* 1/3 (pow x 2))) (* 1/9 (/ (pow x 3) (pow y 2)))) (pow y 4)) |
(/.f64 (+.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/9 binary64))) (*.f64 y y)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (/.f64 (*.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 y (*.f64 y (*.f64 y y)))))) (*.f64 y (*.f64 y (*.f64 y y)))) |
(/ (- (+ (* -1/81 (/ (pow x 5) (pow y 6))) (* 1/3 (pow x 2))) (+ (* -1/27 (/ (pow x 4) (pow y 4))) (* 1/9 (/ (pow x 3) (pow y 2))))) (pow y 4)) |
(/.f64 (+.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/9 binary64))) (*.f64 y y)) (+.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/27 binary64)) (*.f64 y (*.f64 y (*.f64 y y)))) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (/.f64 (*.f64 #s(literal -1/81 binary64) (pow.f64 x #s(literal 5 binary64))) (pow.f64 y #s(literal 6 binary64)))))) (*.f64 y (*.f64 y (*.f64 y y)))) |
(/ (pow x 2) (pow y 4)) |
(/.f64 (*.f64 x x) (*.f64 y (*.f64 y (*.f64 y y)))) |
(/ (pow x 2) (pow y 4)) |
(/.f64 (*.f64 x x) (*.f64 y (*.f64 y (*.f64 y y)))) |
(/ (pow x 2) (pow y 4)) |
(/.f64 (*.f64 x x) (*.f64 y (*.f64 y (*.f64 y y)))) |
(/ (pow x 2) (pow y 4)) |
(/.f64 (*.f64 x x) (*.f64 y (*.f64 y (*.f64 y y)))) |
(/ (pow x 2) (pow y 4)) |
(/.f64 (*.f64 x x) (*.f64 y (*.f64 y (*.f64 y y)))) |
(/ (pow x 2) (pow y 4)) |
(/.f64 (*.f64 x x) (*.f64 y (*.f64 y (*.f64 y y)))) |
(/ (pow x 2) (pow y 4)) |
(/.f64 (*.f64 x x) (*.f64 y (*.f64 y (*.f64 y y)))) |
(/ (pow x 2) (pow y 4)) |
(/.f64 (*.f64 x x) (*.f64 y (*.f64 y (*.f64 y y)))) |
(/ (pow x 2) (pow y 4)) |
(/.f64 (*.f64 x x) (*.f64 y (*.f64 y (*.f64 y y)))) |
(/ (pow x 2) (pow y 4)) |
(/.f64 (*.f64 x x) (*.f64 y (*.f64 y (*.f64 y y)))) |
(/ (pow x 2) (pow y 4)) |
(/.f64 (*.f64 x x) (*.f64 y (*.f64 y (*.f64 y y)))) |
(/ (pow x 2) (pow y 4)) |
(/.f64 (*.f64 x x) (*.f64 y (*.f64 y (*.f64 y y)))) |
(/ (pow x 2) (pow y 4)) |
(/.f64 (*.f64 x x) (*.f64 y (*.f64 y (*.f64 y y)))) |
(/ (pow x 2) (pow y 4)) |
(/.f64 (*.f64 x x) (*.f64 y (*.f64 y (*.f64 y y)))) |
(/ (pow x 2) (pow y 4)) |
(/.f64 (*.f64 x x) (*.f64 y (*.f64 y (*.f64 y y)))) |
(/ (pow x 2) (pow y 4)) |
(/.f64 (*.f64 x x) (*.f64 y (*.f64 y (*.f64 y y)))) |
(/ (pow x 2) (pow y 4)) |
(/.f64 (*.f64 x x) (*.f64 y (*.f64 y (*.f64 y y)))) |
(/ (pow x 2) (pow y 4)) |
(/.f64 (*.f64 x x) (*.f64 y (*.f64 y (*.f64 y y)))) |
(/ (pow x 2) (pow y 4)) |
(/.f64 (*.f64 x x) (*.f64 y (*.f64 y (*.f64 y y)))) |
(/ (pow x 2) (pow y 4)) |
(/.f64 (*.f64 x x) (*.f64 y (*.f64 y (*.f64 y y)))) |
(/ (pow x 2) (pow y 4)) |
(/.f64 (*.f64 x x) (*.f64 y (*.f64 y (*.f64 y y)))) |
(/ (pow x 2) (pow y 4)) |
(/.f64 (*.f64 x x) (*.f64 y (*.f64 y (*.f64 y y)))) |
(/ (pow x 2) (pow y 4)) |
(/.f64 (*.f64 x x) (*.f64 y (*.f64 y (*.f64 y y)))) |
(/ (pow x 2) (pow y 4)) |
(/.f64 (*.f64 x x) (*.f64 y (*.f64 y (*.f64 y y)))) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
-3 |
#s(literal -3 binary64) |
(- (/ x (pow y 2)) 3) |
(+.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y))) |
(- (/ x (pow y 2)) 3) |
(+.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y))) |
(- (/ x (pow y 2)) 3) |
(+.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y))) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal -3 binary64) x))) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal -3 binary64) x))) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal -3 binary64) x))) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal -3 binary64) x))) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal -3 binary64) x))) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal -3 binary64) x))) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(/.f64 (+.f64 x (*.f64 #s(literal -3 binary64) (*.f64 y y))) (*.f64 y y)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(/.f64 (+.f64 x (*.f64 #s(literal -3 binary64) (*.f64 y y))) (*.f64 y y)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(/.f64 (+.f64 x (*.f64 #s(literal -3 binary64) (*.f64 y y))) (*.f64 y y)) |
-3 |
#s(literal -3 binary64) |
(- (/ x (pow y 2)) 3) |
(+.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y))) |
(- (/ x (pow y 2)) 3) |
(+.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y))) |
(- (/ x (pow y 2)) 3) |
(+.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y))) |
-3 |
#s(literal -3 binary64) |
(- (/ x (pow y 2)) 3) |
(+.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y))) |
(- (/ x (pow y 2)) 3) |
(+.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y))) |
(- (/ x (pow y 2)) 3) |
(+.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y))) |
(* -3 (pow y 2)) |
(*.f64 #s(literal -3 binary64) (*.f64 y y)) |
(+ x (* -3 (pow y 2))) |
(+.f64 x (*.f64 #s(literal -3 binary64) (*.f64 y y))) |
(+ x (* -3 (pow y 2))) |
(+.f64 x (*.f64 #s(literal -3 binary64) (*.f64 y y))) |
(+ x (* -3 (pow y 2))) |
(+.f64 x (*.f64 #s(literal -3 binary64) (*.f64 y y))) |
x |
(* x (+ 1 (* -3 (/ (pow y 2) x)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -3 binary64) (*.f64 y y)) x))) |
(* x (+ 1 (* -3 (/ (pow y 2) x)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -3 binary64) (*.f64 y y)) x))) |
(* x (+ 1 (* -3 (/ (pow y 2) x)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -3 binary64) (*.f64 y y)) x))) |
x |
(* -1 (* x (- (* 3 (/ (pow y 2) x)) 1))) |
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 y y) #s(literal 3 binary64)) x)) (-.f64 #s(literal 0 binary64) x)) |
(* -1 (* x (- (* 3 (/ (pow y 2) x)) 1))) |
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 y y) #s(literal 3 binary64)) x)) (-.f64 #s(literal 0 binary64) x)) |
(* -1 (* x (- (* 3 (/ (pow y 2) x)) 1))) |
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 y y) #s(literal 3 binary64)) x)) (-.f64 #s(literal 0 binary64) x)) |
x |
(+ x (* -3 (pow y 2))) |
(+.f64 x (*.f64 #s(literal -3 binary64) (*.f64 y y))) |
(+ x (* -3 (pow y 2))) |
(+.f64 x (*.f64 #s(literal -3 binary64) (*.f64 y y))) |
(+ x (* -3 (pow y 2))) |
(+.f64 x (*.f64 #s(literal -3 binary64) (*.f64 y y))) |
(* -3 (pow y 2)) |
(*.f64 #s(literal -3 binary64) (*.f64 y y)) |
(* (pow y 2) (- (/ x (pow y 2)) 3)) |
(*.f64 y (*.f64 y (+.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y))))) |
(* (pow y 2) (- (/ x (pow y 2)) 3)) |
(*.f64 y (*.f64 y (+.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y))))) |
(* (pow y 2) (- (/ x (pow y 2)) 3)) |
(*.f64 y (*.f64 y (+.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y))))) |
(* -3 (pow y 2)) |
(*.f64 #s(literal -3 binary64) (*.f64 y y)) |
(* (pow y 2) (- (/ x (pow y 2)) 3)) |
(*.f64 y (*.f64 y (+.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y))))) |
(* (pow y 2) (- (/ x (pow y 2)) 3)) |
(*.f64 y (*.f64 y (+.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y))))) |
(* (pow y 2) (- (/ x (pow y 2)) 3)) |
(*.f64 y (*.f64 y (+.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y))))) |
(* -3 (pow y 2)) |
(*.f64 #s(literal -3 binary64) (*.f64 y y)) |
(* -3 (pow y 2)) |
(*.f64 #s(literal -3 binary64) (*.f64 y y)) |
(* -3 (pow y 2)) |
(*.f64 #s(literal -3 binary64) (*.f64 y y)) |
(* -3 (pow y 2)) |
(*.f64 #s(literal -3 binary64) (*.f64 y y)) |
(* -3 (pow y 2)) |
(*.f64 #s(literal -3 binary64) (*.f64 y y)) |
(* -3 (pow y 2)) |
(*.f64 #s(literal -3 binary64) (*.f64 y y)) |
(* -3 (pow y 2)) |
(*.f64 #s(literal -3 binary64) (*.f64 y y)) |
(* -3 (pow y 2)) |
(*.f64 #s(literal -3 binary64) (*.f64 y y)) |
(* -3 (pow y 2)) |
(*.f64 #s(literal -3 binary64) (*.f64 y y)) |
(* -3 (pow y 2)) |
(*.f64 #s(literal -3 binary64) (*.f64 y y)) |
(* -3 (pow y 2)) |
(*.f64 #s(literal -3 binary64) (*.f64 y y)) |
(* -3 (pow y 2)) |
(*.f64 #s(literal -3 binary64) (*.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) |
(pow y 2) |
(*.f64 y y) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
3 |
#s(literal 3 binary64) |
(+ 3 (* -1 (/ x (pow y 2)))) |
(-.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y y))) |
(+ 3 (* x (- (* 1/3 (/ x (pow y 4))) (/ 1 (pow y 2))))) |
(+.f64 #s(literal 3 binary64) (*.f64 x (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (/.f64 (*.f64 x #s(literal 1/3 binary64)) (*.f64 y (*.f64 y (*.f64 y y))))))) |
(+ 3 (* x (- (* x (+ (* -1/9 (/ x (pow y 6))) (* 1/3 (/ 1 (pow y 4))))) (/ 1 (pow y 2))))) |
(+.f64 #s(literal 3 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 (/.f64 (*.f64 x #s(literal -1/9 binary64)) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 y (*.f64 y y)))))) (/.f64 #s(literal -1 binary64) (*.f64 y y))))) |
(* 9 (/ (pow y 2) x)) |
(/.f64 (*.f64 (*.f64 y y) #s(literal 9 binary64)) x) |
(/ (+ (* -27 (/ (pow y 4) x)) (* 9 (pow y 2))) x) |
(*.f64 (*.f64 y y) (+.f64 (/.f64 #s(literal 9 binary64) x) (/.f64 (*.f64 (*.f64 y y) #s(literal -27 binary64)) (*.f64 x x)))) |
(/ (- (+ (* 9 (pow y 2)) (* 81 (/ (pow y 6) (pow x 2)))) (* 27 (/ (pow y 4) x))) x) |
(/.f64 (+.f64 (*.f64 (*.f64 y y) #s(literal 9 binary64)) (/.f64 (+.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal -27 binary64))) (/.f64 (*.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 81 binary64)) x)) x)) x) |
(/ (- (+ (* -243 (/ (pow y 8) (pow x 3))) (* 9 (pow y 2))) (+ (* -81 (/ (pow y 6) (pow x 2))) (* 27 (/ (pow y 4) x)))) x) |
(/.f64 (+.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal -243 binary64)) (*.f64 x (*.f64 x x))) (+.f64 (*.f64 (*.f64 y y) #s(literal 9 binary64)) (/.f64 (+.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal -27 binary64))) (/.f64 (*.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 81 binary64)) x)) x))) x) |
(* 9 (/ (pow y 2) x)) |
(/.f64 (*.f64 (*.f64 y y) #s(literal 9 binary64)) x) |
(* -1 (/ (+ (* -9 (pow y 2)) (* 27 (/ (pow y 4) x))) x)) |
(*.f64 (*.f64 y y) (+.f64 (/.f64 #s(literal 9 binary64) x) (/.f64 (*.f64 (*.f64 y y) #s(literal -27 binary64)) (*.f64 x x)))) |
(* -1 (/ (+ (* -9 (pow y 2)) (* -1 (/ (- (* 81 (/ (pow y 6) x)) (* 27 (pow y 4))) x))) x)) |
(/.f64 (+.f64 (*.f64 (*.f64 y y) #s(literal 9 binary64)) (/.f64 (+.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal -27 binary64))) (/.f64 (*.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 81 binary64)) x)) x)) x) |
(* -1 (/ (+ (* -9 (pow y 2)) (* -1 (/ (- (* -1 (/ (- (* 243 (/ (pow y 8) x)) (* 81 (pow y 6))) x)) (* 27 (pow y 4))) x))) x)) |
(/.f64 (+.f64 (*.f64 (*.f64 y y) #s(literal 9 binary64)) (/.f64 (+.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal -27 binary64))) (/.f64 (+.f64 (*.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 81 binary64)) (*.f64 #s(literal -243 binary64) (/.f64 (pow.f64 y #s(literal 8 binary64)) x))) x)) x)) x) |
(* 9 (/ (pow y 2) x)) |
(/.f64 (*.f64 (*.f64 y y) #s(literal 9 binary64)) x) |
(* (pow y 2) (+ (* -27 (/ (pow y 2) (pow x 2))) (* 9 (/ 1 x)))) |
(*.f64 (*.f64 y y) (+.f64 (/.f64 #s(literal 9 binary64) x) (/.f64 (*.f64 (*.f64 y y) #s(literal -27 binary64)) (*.f64 x x)))) |
(* (pow y 2) (+ (* (pow y 2) (- (* 81 (/ (pow y 2) (pow x 3))) (* 27 (/ 1 (pow x 2))))) (* 9 (/ 1 x)))) |
(*.f64 y (*.f64 y (+.f64 (/.f64 #s(literal 9 binary64) x) (*.f64 (*.f64 y y) (+.f64 (/.f64 #s(literal -27 binary64) (*.f64 x x)) (/.f64 (*.f64 (*.f64 y y) #s(literal 81 binary64)) (*.f64 x (*.f64 x x)))))))) |
(* (pow y 2) (+ (* (pow y 2) (- (* (pow y 2) (+ (* -243 (/ (pow y 2) (pow x 4))) (* 81 (/ 1 (pow x 3))))) (* 27 (/ 1 (pow x 2))))) (* 9 (/ 1 x)))) |
(*.f64 (*.f64 y y) (+.f64 (/.f64 #s(literal 9 binary64) x) (*.f64 (*.f64 y y) (+.f64 (*.f64 (*.f64 y y) (+.f64 (*.f64 y (*.f64 (/.f64 y (pow.f64 x #s(literal 4 binary64))) #s(literal -243 binary64))) (/.f64 #s(literal 81 binary64) (*.f64 x (*.f64 x x))))) (/.f64 #s(literal -27 binary64) (*.f64 x x)))))) |
3 |
#s(literal 3 binary64) |
(+ 3 (* -1 (/ x (pow y 2)))) |
(-.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y y))) |
(- (+ 3 (* 1/3 (/ (pow x 2) (pow y 4)))) (/ x (pow y 2))) |
(+.f64 #s(literal 3 binary64) (*.f64 x (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (/.f64 (*.f64 x #s(literal 1/3 binary64)) (*.f64 y (*.f64 y (*.f64 y y))))))) |
(- (+ 3 (* -1/9 (/ (pow x 3) (pow y 6)))) (+ (* -1/3 (/ (pow x 2) (pow y 4))) (/ x (pow y 2)))) |
(+.f64 #s(literal 3 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 (/.f64 (*.f64 x #s(literal -1/9 binary64)) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 y (*.f64 y y)))))) (/.f64 #s(literal -1 binary64) (*.f64 y y))))) |
3 |
#s(literal 3 binary64) |
(+ 3 (* -1 (/ x (pow y 2)))) |
(-.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y y))) |
(- (+ 3 (* 1/3 (/ (pow x 2) (pow y 4)))) (/ x (pow y 2))) |
(+.f64 #s(literal 3 binary64) (*.f64 x (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (/.f64 (*.f64 x #s(literal 1/3 binary64)) (*.f64 y (*.f64 y (*.f64 y y))))))) |
(- (+ 3 (* -1/9 (/ (pow x 3) (pow y 6)))) (+ (* -1/3 (/ (pow x 2) (pow y 4))) (/ x (pow y 2)))) |
(+.f64 #s(literal 3 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 (/.f64 (*.f64 x #s(literal -1/9 binary64)) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 y (*.f64 y y)))))) (/.f64 #s(literal -1 binary64) (*.f64 y y))))) |
Compiled 36463 to 2396 computations (93.4% saved)
9 alts after pruning (1 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1003 | 1 | 1004 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 1 | 2 |
| Done | 0 | 7 | 7 |
| Total | 1004 | 9 | 1013 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 58.1% | (/.f64 (/.f64 x y) y) |
| ✓ | 58.0% | (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) |
| ✓ | 69.8% | (/.f64 (+.f64 x (*.f64 (*.f64 y y) #s(literal -3 binary64))) (*.f64 y y)) |
| 65.2% | (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -3 binary64) (*.f64 y y)) x))) (*.f64 y y)) | |
| ✓ | 49.1% | (/.f64 x (*.f64 y y)) |
| ✓ | 58.0% | (/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x y))) |
| ✓ | 99.9% | (+.f64 (/.f64 (/.f64 x y) y) #s(literal -3 binary64)) |
| ✓ | 48.5% | (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) x) |
| ✓ | 43.3% | #s(literal -3 binary64) |
Compiled 263 to 97 computations (63.1% saved)
| Inputs |
|---|
#s(literal -3 binary64) |
(/.f64 x (*.f64 y y)) |
(/.f64 (/.f64 x y) y) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) x) |
(+.f64 (/.f64 (/.f64 x y) y) #s(literal -3 binary64)) |
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x y))) |
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) |
(-.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) x) #s(literal 3 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x y))) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) #s(literal 3 binary64)) |
(/.f64 (+.f64 x (*.f64 (*.f64 y y) #s(literal -3 binary64))) (*.f64 y y)) |
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -3 binary64) (*.f64 y y)) x))) (*.f64 y y)) |
(/.f64 (-.f64 #s(literal 9 binary64) (/.f64 (/.f64 x y) (/.f64 (*.f64 y (*.f64 y y)) x))) (-.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y)))) |
(-.f64 (/.f64 #s(literal 9 binary64) (-.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y)))) (/.f64 (/.f64 (/.f64 x y) (/.f64 (*.f64 y (*.f64 y y)) x)) (-.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y))))) |
(-.f64 (/.f64 (/.f64 (/.f64 x y) (*.f64 y (/.f64 y (/.f64 x y)))) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))) (/.f64 #s(literal 9 binary64) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)))) |
| Outputs |
|---|
(+.f64 (/.f64 (/.f64 x y) y) #s(literal -3 binary64)) |
5 calls:
| 6.0ms | (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
| 5.0ms | y |
| 5.0ms | x |
| 5.0ms | (*.f64 y y) |
| 5.0ms | (/.f64 x (*.f64 y y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | x |
| 99.9% | 1 | y |
| 99.9% | 1 | (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
| 99.9% | 1 | (/.f64 x (*.f64 y y)) |
| 99.9% | 1 | (*.f64 y y) |
Compiled 27 to 17 computations (37% saved)
| Inputs |
|---|
#s(literal -3 binary64) |
(/.f64 x (*.f64 y y)) |
(/.f64 (/.f64 x y) y) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) x) |
| Outputs |
|---|
(/.f64 (/.f64 x y) y) |
#s(literal -3 binary64) |
(/.f64 (/.f64 x y) y) |
4 calls:
| 7.0ms | (*.f64 y y) |
| 2.0ms | y |
| 2.0ms | x |
| 2.0ms | (/.f64 x (*.f64 y y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 64.2% | 3 | x |
| 87.4% | 2 | y |
| 98.6% | 3 | (/.f64 x (*.f64 y y)) |
| 87.4% | 2 | (*.f64 y y) |
Compiled 18 to 11 computations (38.9% saved)
| Inputs |
|---|
#s(literal -3 binary64) |
(/.f64 x (*.f64 y y)) |
| Outputs |
|---|
(/.f64 x (*.f64 y y)) |
#s(literal -3 binary64) |
(/.f64 x (*.f64 y y)) |
1 calls:
| 1.0ms | (/.f64 x (*.f64 y y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.6% | 3 | (/.f64 x (*.f64 y y)) |
Compiled 7 to 4 computations (42.9% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(literal -3 binary64) |
| Outputs |
|---|
#s(literal -3 binary64) |
2 calls:
| 1.0ms | x |
| 1.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 43.3% | 1 | x |
| 43.3% | 1 | y |
Compiled 6 to 4 computations (33.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 4.178271325164088e-9 | 3.534164431876885 |
| 0.0ms | -4398742402.648067 | -4.137850409210252e-5 |
Compiled 14 to 10 computations (28.6% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 9.0ms | 4.178271325164088e-9 | 3.534164431876885 |
| 12.0ms | -4398742402.648067 | -4.137850409210252e-5 |
| 12.0ms | 304× | 0 | valid |
Compiled 166 to 143 computations (13.9% saved)
ival-sub: 2.0ms (86.2% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 1× | egg-herbie |
| 4× | if-if-or-not_binary32 |
| 2× | +-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 54 |
| 1 | 26 | 54 |
| 1× | saturated |
| Inputs |
|---|
(+.f64 (/.f64 (/.f64 x y) y) #s(literal -3 binary64)) |
(if (<=.f64 (/.f64 x (*.f64 y y)) #s(literal -4000000000 binary64)) (/.f64 (/.f64 x y) y) (if (<=.f64 (/.f64 x (*.f64 y y)) #s(literal 3022314549036573/604462909807314587353088 binary64)) #s(literal -3 binary64) (/.f64 (/.f64 x y) y))) |
(if (<=.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) (/.f64 x (*.f64 y y)) (if (<=.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) #s(literal -3 binary64) (/.f64 x (*.f64 y y)))) |
#s(literal -3 binary64) |
| Outputs |
|---|
(+.f64 (/.f64 (/.f64 x y) y) #s(literal -3 binary64)) |
(if (<=.f64 (/.f64 x (*.f64 y y)) #s(literal -4000000000 binary64)) (/.f64 (/.f64 x y) y) (if (<=.f64 (/.f64 x (*.f64 y y)) #s(literal 3022314549036573/604462909807314587353088 binary64)) #s(literal -3 binary64) (/.f64 (/.f64 x y) y))) |
(if (<=.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) (/.f64 x (*.f64 y y)) (if (<=.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) #s(literal -3 binary64) (/.f64 x (*.f64 y y)))) |
#s(literal -3 binary64) |
| 3732× | *-lowering-*.f32 |
| 3732× | *-lowering-*.f64 |
| 2170× | /-lowering-/.f32 |
| 2170× | /-lowering-/.f64 |
| 1876× | fnmadd-define |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 636 |
| 1 | 48 | 534 |
| 2 | 112 | 534 |
| 3 | 281 | 534 |
| 4 | 634 | 534 |
| 5 | 1123 | 534 |
| 6 | 2003 | 534 |
| 7 | 3275 | 534 |
| 8 | 5549 | 534 |
| 9 | 7349 | 534 |
| 0 | 8100 | 534 |
| 0 | 6 | 6 |
| 1 | 12 | 6 |
| 2 | 13 | 6 |
| 0 | 13 | 6 |
| 0 | 17 | 53 |
| 1 | 119 | 51 |
| 2 | 899 | 51 |
| 3 | 7221 | 51 |
| 0 | 8418 | 51 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
Compiled 148 to 76 computations (48.6% saved)
(abs y)
Compiled 200 to 86 computations (57% saved)
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