
Time bar (total: 12.5s)
| 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 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 2 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 3 |
| 66.7% | 50% | 25% | 0.1% | 0% | 25% | 0% | 4 |
| 66.7% | 50% | 25% | 0.1% | 0% | 25% | 0% | 5 |
| 80% | 50% | 12.5% | 0.1% | 0% | 37.5% | 0% | 6 |
| 80% | 50% | 12.5% | 0.1% | 0% | 37.5% | 0% | 7 |
| 88.9% | 50% | 6.2% | 0.1% | 0% | 43.7% | 0% | 8 |
| 88.9% | 50% | 6.2% | 0.1% | 0% | 43.7% | 0% | 9 |
| 94.1% | 50% | 3.1% | 0.1% | 0% | 46.8% | 0% | 10 |
| 94.1% | 50% | 3.1% | 0.1% | 0% | 46.8% | 0% | 11 |
| 97% | 50% | 1.6% | 0.1% | 0% | 48.4% | 0% | 12 |
Compiled 17 to 13 computations (23.5% saved)
ival-mult: 2.0ms (29% of total)ival-div: 1.0ms (14.5% of total)ival-sub: 1.0ms (14.5% of total)ival-add: 1.0ms (14.5% of total)ival-sqrt: 1.0ms (14.5% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 766.0ms | 8256× | 0 | valid |
| 19.0ms | 232× | 0 | invalid |
ival-mult: 194.0ms (41.3% of total)ival-sqrt: 83.0ms (17.7% of total)ival-div: 67.0ms (14.3% of total)ival-sub: 54.0ms (11.5% of total)ival-add: 50.0ms (10.6% of total)const: 19.0ms (4% of total)backward-pass: 3.0ms (0.6% of total)| 2× | egg-herbie |
| 2026× | fnmsub-define |
| 1940× | sum5-define |
| 1884× | sum3-define |
| 1802× | fma-define |
| 1672× | fma-lowering-fma.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 86 |
| 1 | 96 | 72 |
| 2 | 356 | 70 |
| 3 | 1486 | 68 |
| 4 | 5496 | 68 |
| 0 | 12 | 13 |
| 1 | 28 | 11 |
| 2 | 72 | 11 |
| 3 | 200 | 11 |
| 4 | 426 | 11 |
| 5 | 613 | 11 |
| 6 | 1266 | 11 |
| 7 | 2885 | 11 |
| 8 | 6032 | 11 |
| 9 | 7660 | 11 |
| 10 | 7847 | 11 |
| 11 | 7877 | 11 |
| 12 | 7878 | 11 |
| 13 | 7878 | 11 |
| 0 | 8222 | 11 |
| 1× | iter limit |
| 1× | node limit |
| 1× | node limit |
| Inputs |
|---|
(* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) |
| Outputs |
|---|
(* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) |
(*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) |
| Inputs |
|---|
(* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) |
(* (* 3 (sqrt (neg x))) (- (+ y (/ 1 (* (neg x) 9))) 1)) |
(* (* 3 (sqrt x)) (- (+ (neg y) (/ 1 (* x 9))) 1)) |
(neg (* (* 3 (sqrt (neg x))) (- (+ y (/ 1 (* (neg x) 9))) 1))) |
(neg (* (* 3 (sqrt x)) (- (+ (neg y) (/ 1 (* x 9))) 1))) |
(* (* 3 (sqrt y)) (- (+ x (/ 1 (* y 9))) 1)) |
| Outputs |
|---|
(* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) |
(* (sqrt x) (* 3 (sum3 y (/ 1/9 x) -1))) |
(* (* 3 (sqrt (neg x))) (- (+ y (/ 1 (* (neg x) 9))) 1)) |
(* (sqrt (neg x)) (* 3 (sum3 y (/ -1/9 x) -1))) |
(* (* 3 (sqrt x)) (- (+ (neg y) (/ 1 (* x 9))) 1)) |
(* (sqrt x) (fnmsub 3 (- y (/ 1/9 x)) 3)) |
(neg (* (* 3 (sqrt (neg x))) (- (+ y (/ 1 (* (neg x) 9))) 1))) |
(* (sqrt (neg x)) (* (sum3 y (/ -1/9 x) -1) -3)) |
(neg (* (* 3 (sqrt x)) (- (+ (neg y) (/ 1 (* x 9))) 1))) |
(* (sqrt x) (sum3 3 (/ -1/3 x) (* 3 y))) |
(* (* 3 (sqrt y)) (- (+ x (/ 1 (* y 9))) 1)) |
(* (sqrt y) (sum3 -3 (* 3 x) (/ 1/3 y))) |
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 2 | 0 | - | 0 | - | (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) |
| 0 | 0 | - | 0 | - | x |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (*.f64 x #s(literal 9 binary64)) |
| 0 | 0 | - | 0 | - | (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) |
| 0 | 0 | - | 0 | - | #s(literal 9 binary64) |
| 0 | 0 | - | 0 | - | (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | #s(literal 3 binary64) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (sqrt.f64 x) |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
| 94.0ms | 512× | 0 | valid |
Compiled 120 to 38 computations (68.3% saved)
ival-mult: 10.0ms (33.4% of total)ival-sub: 7.0ms (23.3% of total)ival-div: 4.0ms (13.3% of total)ival-sqrt: 4.0ms (13.3% of total)ival-add: 3.0ms (10% of total)const: 1.0ms (3.3% of total)backward-pass: 0.0ms (0% of total)Compiled 14 to 11 computations (21.4% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.4% | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
| ▶ | 99.4% | (*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) |
Compiled 30 to 23 computations (23.3% saved)
| 1× | egg-herbie |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 128 | (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) |
| ✓ | cost-diff | 128 | (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) |
| ✓ | cost-diff | 128 | (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)) |
| ✓ | cost-diff | 128 | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 3 binary64) y) |
| ✓ | cost-diff | 0 | (+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
| ✓ | cost-diff | 0 | (sqrt.f64 x) |
| ✓ | cost-diff | 0 | (*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) |
| 2026× | fnmsub-define |
| 1944× | fma-define |
| 1672× | fma-lowering-fma.f32 |
| 1672× | fma-lowering-fma.f64 |
| 1344× | *-lowering-*.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 80 |
| 1 | 48 | 76 |
| 2 | 126 | 76 |
| 3 | 315 | 76 |
| 4 | 603 | 76 |
| 5 | 760 | 76 |
| 6 | 1438 | 76 |
| 7 | 3042 | 76 |
| 8 | 6195 | 76 |
| 9 | 7831 | 76 |
| 0 | 8010 | 76 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (sqrt x) (+ (* 3 y) (+ -3 (/ 1/3 x)))) |
(sqrt x) |
x |
(+ (* 3 y) (+ -3 (/ 1/3 x))) |
(* 3 y) |
3 |
y |
(+ -3 (/ 1/3 x)) |
-3 |
(/ 1/3 x) |
1/3 |
(* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) |
(* 3 (sqrt x)) |
3 |
(sqrt x) |
x |
(- (+ y (/ 1 (* x 9))) 1) |
(+ y (/ 1 (* x 9))) |
y |
(/ 1 (* x 9)) |
1 |
(* x 9) |
9 |
| Outputs |
|---|
(* (sqrt x) (+ (* 3 y) (+ -3 (/ 1/3 x)))) |
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))) |
(sqrt x) |
(sqrt.f64 x) |
x |
(+ (* 3 y) (+ -3 (/ 1/3 x))) |
(+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
(* 3 y) |
(*.f64 #s(literal 3 binary64) y) |
3 |
#s(literal 3 binary64) |
y |
(+ -3 (/ 1/3 x)) |
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) |
-3 |
#s(literal -3 binary64) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
1/3 |
#s(literal 1/3 binary64) |
(* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) |
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))) |
(* 3 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
3 |
#s(literal 3 binary64) |
(sqrt x) |
(sqrt.f64 x) |
x |
(- (+ y (/ 1 (* x 9))) 1) |
(+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) |
(+ y (/ 1 (* x 9))) |
(+.f64 y (/.f64 #s(literal 1/9 binary64) x)) |
y |
(/ 1 (* x 9)) |
(/.f64 #s(literal 1/9 binary64) x) |
1 |
#s(literal 1 binary64) |
(* x 9) |
(*.f64 x #s(literal 9 binary64)) |
9 |
#s(literal 9 binary64) |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) |
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
| ✓ | accuracy | 99.6% | (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
| ✓ | accuracy | 99.0% | (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) |
| ✓ | accuracy | 100.0% | (sqrt.f64 x) |
| ✓ | accuracy | 99.9% | (+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
| ✓ | accuracy | 99.5% | (*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) |
| ✓ | accuracy | 99.4% | (/.f64 #s(literal 1/3 binary64) x) |
| 107.0ms | 239× | 0 | valid |
| 5.0ms | 7× | 2 | valid |
| 5.0ms | 10× | 1 | valid |
Compiled 91 to 20 computations (78% saved)
...c/correct-round.rkt:119:19: 48.0ms (66.1% of total)ival-mult: 9.0ms (12.4% of total)ival-div: 4.0ms (5.5% of total)ival-sqrt: 4.0ms (5.5% of total)ival-add: 4.0ms (5.5% of total)const: 1.0ms (1.4% of total)backward-pass: 1.0ms (1.4% of total)ival-sub: 1.0ms (1.4% of total)| Inputs |
|---|
#<alt (* (sqrt x) (+ (* 3 y) (+ -3 (/ 1/3 x))))> |
#<alt (sqrt x)> |
#<alt (+ (* 3 y) (+ -3 (/ 1/3 x)))> |
#<alt (* 3 y)> |
#<alt (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1))> |
#<alt (- (+ y (/ 1 (* x 9))) 1)> |
#<alt (+ y (/ 1 (* x 9)))> |
#<alt (/ 1 (* x 9))> |
#<alt (/ 1/3 x)> |
#<alt (* 3 (sqrt x))> |
| Outputs |
|---|
#<alt (* 1/3 (sqrt (/ 1 x)))> |
#<alt (/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x)> |
#<alt (/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x)> |
#<alt (/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x)> |
#<alt (* (sqrt x) (- (* 3 y) 3))> |
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3))))> |
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3))))> |
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3))))> |
#<alt (* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (- (* 3 y) 3))))> |
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3))))))> |
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3))))))> |
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3))))))> |
#<alt (* (sqrt x) (- (* 1/3 (/ 1 x)) 3))> |
#<alt (+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3)))> |
#<alt (+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3)))> |
#<alt (+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3)))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* y (+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y))))> |
#<alt (* y (+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y))))> |
#<alt (* y (+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y))))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y))))))> |
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y))))))> |
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y))))))> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (- (* 1/3 (/ 1 x)) 3)> |
#<alt (- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3)> |
#<alt (- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3)> |
#<alt (- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3)> |
#<alt (* 3 y)> |
#<alt (* y (- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y))))> |
#<alt (* y (- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y))))> |
#<alt (* y (- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y))))> |
#<alt (* 3 y)> |
#<alt (* -1 (* y (- (* -1 (/ (- (* 1/3 (/ 1 x)) 3) y)) 3)))> |
#<alt (* -1 (* y (- (* -1 (/ (- (* 1/3 (/ 1 x)) 3) y)) 3)))> |
#<alt (* -1 (* y (- (* -1 (/ (- (* 1/3 (/ 1 x)) 3) y)) 3)))> |
#<alt (/ 1/3 x)> |
#<alt (/ (+ 1/3 (* x (- (* 3 y) 3))) x)> |
#<alt (/ (+ 1/3 (* x (- (* 3 y) 3))) x)> |
#<alt (/ (+ 1/3 (* x (- (* 3 y) 3))) x)> |
#<alt (- (* 3 y) 3)> |
#<alt (- (+ (* 3 y) (* 1/3 (/ 1 x))) 3)> |
#<alt (- (+ (* 3 y) (* 1/3 (/ 1 x))) 3)> |
#<alt (- (+ (* 3 y) (* 1/3 (/ 1 x))) 3)> |
#<alt (- (* 3 y) 3)> |
#<alt (- (+ (* 3 y) (* 1/3 (/ 1 x))) 3)> |
#<alt (- (+ (* 3 y) (* 1/3 (/ 1 x))) 3)> |
#<alt (- (+ (* 3 y) (* 1/3 (/ 1 x))) 3)> |
#<alt (* 3 y)> |
#<alt (* 3 y)> |
#<alt (* 3 y)> |
#<alt (* 3 y)> |
#<alt (* 3 y)> |
#<alt (* 3 y)> |
#<alt (* 3 y)> |
#<alt (* 3 y)> |
#<alt (* 3 y)> |
#<alt (* 3 y)> |
#<alt (* 3 y)> |
#<alt (* 3 y)> |
#<alt (* 1/3 (sqrt (/ 1 x)))> |
#<alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)> |
#<alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)> |
#<alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)> |
#<alt (* 3 (* (sqrt x) (- y 1)))> |
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))> |
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))> |
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))> |
#<alt (* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1))))> |
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))> |
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))> |
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))> |
#<alt (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))> |
#<alt (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))> |
#<alt (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))> |
#<alt (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))> |
#<alt (* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))> |
#<alt (* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))> |
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))> |
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))> |
#<alt (- (* 1/9 (/ 1 x)) 1)> |
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)> |
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)> |
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)> |
#<alt y> |
#<alt (* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y)))> |
#<alt (* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y)))> |
#<alt (* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y)))> |
#<alt y> |
#<alt (* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1)))> |
#<alt (* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1)))> |
#<alt (* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1)))> |
#<alt (/ 1/9 x)> |
#<alt (/ (+ 1/9 (* x (- y 1))) x)> |
#<alt (/ (+ 1/9 (* x (- y 1))) x)> |
#<alt (/ (+ 1/9 (* x (- y 1))) x)> |
#<alt (- y 1)> |
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)> |
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)> |
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)> |
#<alt (- y 1)> |
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)> |
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)> |
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)> |
#<alt (/ 1/9 x)> |
#<alt (+ y (* 1/9 (/ 1 x)))> |
#<alt (+ y (* 1/9 (/ 1 x)))> |
#<alt (+ y (* 1/9 (/ 1 x)))> |
#<alt y> |
#<alt (* y (+ 1 (* 1/9 (/ 1 (* x y)))))> |
#<alt (* y (+ 1 (* 1/9 (/ 1 (* x y)))))> |
#<alt (* y (+ 1 (* 1/9 (/ 1 (* x y)))))> |
#<alt y> |
#<alt (* y (+ 1 (* 1/9 (/ 1 (* x y)))))> |
#<alt (* y (+ 1 (* 1/9 (/ 1 (* x y)))))> |
#<alt (* y (+ 1 (* 1/9 (/ 1 (* x y)))))> |
#<alt (/ 1/9 x)> |
#<alt (/ (+ 1/9 (* x y)) x)> |
#<alt (/ (+ 1/9 (* x y)) x)> |
#<alt (/ (+ 1/9 (* x y)) x)> |
#<alt y> |
#<alt (+ y (* 1/9 (/ 1 x)))> |
#<alt (+ y (* 1/9 (/ 1 x)))> |
#<alt (+ y (* 1/9 (/ 1 x)))> |
#<alt y> |
#<alt (+ y (* 1/9 (/ 1 x)))> |
#<alt (+ y (* 1/9 (/ 1 x)))> |
#<alt (+ y (* 1/9 (/ 1 x)))> |
#<alt (/ 1/9 x)> |
#<alt (/ 1/9 x)> |
#<alt (/ 1/9 x)> |
#<alt (/ 1/9 x)> |
#<alt (/ 1/9 x)> |
#<alt (/ 1/9 x)> |
#<alt (/ 1/9 x)> |
#<alt (/ 1/9 x)> |
#<alt (/ 1/9 x)> |
#<alt (/ 1/9 x)> |
#<alt (/ 1/9 x)> |
#<alt (/ 1/9 x)> |
#<alt (/ 1/3 x)> |
#<alt (/ 1/3 x)> |
#<alt (/ 1/3 x)> |
#<alt (/ 1/3 x)> |
#<alt (/ 1/3 x)> |
#<alt (/ 1/3 x)> |
#<alt (/ 1/3 x)> |
#<alt (/ 1/3 x)> |
#<alt (/ 1/3 x)> |
#<alt (/ 1/3 x)> |
#<alt (/ 1/3 x)> |
#<alt (/ 1/3 x)> |
#<alt (* 3 (sqrt x))> |
#<alt (* 3 (sqrt x))> |
#<alt (* 3 (sqrt x))> |
#<alt (* 3 (sqrt x))> |
#<alt (* 3 (sqrt x))> |
#<alt (* 3 (sqrt x))> |
#<alt (* 3 (sqrt x))> |
#<alt (* 3 (sqrt x))> |
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))> |
45 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | 0 | (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) |
| 1.0ms | x | @ | -inf | (* (sqrt x) (+ (* 3 y) (+ -3 (/ 1/3 x)))) |
| 1.0ms | x | @ | 0 | (* (sqrt x) (+ (* 3 y) (+ -3 (/ 1/3 x)))) |
| 1.0ms | y | @ | inf | (* (sqrt x) (+ (* 3 y) (+ -3 (/ 1/3 x)))) |
| 1.0ms | x | @ | -inf | (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) |
| 1× | batch-egg-rewrite |
| 3728× | /-lowering-/.f32 |
| 3728× | /-lowering-/.f64 |
| 3376× | *-lowering-*.f32 |
| 3376× | *-lowering-*.f64 |
| 1900× | +-lowering-+.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 62 |
| 1 | 112 | 56 |
| 2 | 1074 | 56 |
| 0 | 8276 | 56 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (sqrt x) (+ (* 3 y) (+ -3 (/ 1/3 x)))) |
(sqrt x) |
(+ (* 3 y) (+ -3 (/ 1/3 x))) |
(* 3 y) |
(* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) |
(- (+ y (/ 1 (* x 9))) 1) |
(+ y (/ 1 (* x 9))) |
(/ 1 (* x 9)) |
(/ 1/3 x) |
(* 3 (sqrt x)) |
| Outputs |
|---|
(+.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y)) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) |
(+.f64 (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))) |
(+.f64 (*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64))) (/.f64 (sqrt.f64 x) (/.f64 x #s(literal 1/3 binary64)))) |
(+.f64 (*.f64 (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64)) (sqrt.f64 x)) (*.f64 (/.f64 #s(literal 1/3 binary64) x) (sqrt.f64 x))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y)) #s(literal 2 binary64)) (-.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y)) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))) (/.f64 (pow.f64 (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) #s(literal 2 binary64)) (-.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y)) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))))) |
(fma.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) |
(fma.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))) |
(fma.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64)) (/.f64 (sqrt.f64 x) (/.f64 x #s(literal 1/3 binary64)))) |
(fma.f64 #s(literal 3 binary64) (*.f64 y (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) |
(fma.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) |
(fma.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) |
(fma.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))) |
(fma.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) |
(fma.f64 (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64)) (sqrt.f64 x) (*.f64 (/.f64 #s(literal 1/3 binary64) x) (sqrt.f64 x))) |
(fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) |
(/.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) #s(literal 2 binary64)) (*.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y)) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))))) (+.f64 (*.f64 #s(literal 27 binary64) (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) (pow.f64 (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y)) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) (-.f64 (pow.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 9 binary64) (*.f64 y y)) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (-.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 #s(literal 3 binary64) y)))) (*.f64 (sqrt.f64 x) (+.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal 27 binary64)) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 3 binary64)) (/.f64 #s(literal -1/3 binary64) x)) (*.f64 (sqrt.f64 x) (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 y y)) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 9 binary64) (*.f64 y y)) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (-.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 #s(literal 3 binary64) y)))) (*.f64 (+.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal 27 binary64)) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))) (sqrt.f64 x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 3 binary64)) (/.f64 #s(literal -1/3 binary64) x)) (*.f64 (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 y y)) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) (sqrt.f64 x)))) |
(/.f64 (+.f64 (*.f64 #s(literal 27 binary64) (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) (pow.f64 (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) #s(literal 2 binary64)) (*.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y)) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) #s(literal 2 binary64))) (-.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y)) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))) |
(/.f64 (*.f64 (sqrt.f64 x) (+.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal 27 binary64)) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))))) (+.f64 (*.f64 #s(literal 9 binary64) (*.f64 y y)) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (-.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 #s(literal 3 binary64) y))))) |
(/.f64 (*.f64 (sqrt.f64 x) (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 y y)) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))) (+.f64 (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 3 binary64)) (/.f64 #s(literal -1/3 binary64) x))) |
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal 27 binary64)) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))) (sqrt.f64 x)) (+.f64 (*.f64 #s(literal 9 binary64) (*.f64 y y)) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (-.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 #s(literal 3 binary64) y))))) |
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 y y)) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) (sqrt.f64 x)) (+.f64 (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 3 binary64)) (/.f64 #s(literal -1/3 binary64) x))) |
(/.f64 (neg.f64 (+.f64 (*.f64 #s(literal 27 binary64) (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) (pow.f64 (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) #s(literal 2 binary64)) (*.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y)) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y)) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))))) |
(/.f64 (neg.f64 (*.f64 (sqrt.f64 x) (+.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal 27 binary64)) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 #s(literal 9 binary64) (*.f64 y y)) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (-.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 #s(literal 3 binary64) y)))))) |
(/.f64 (neg.f64 (*.f64 (sqrt.f64 x) (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 y y)) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))))) (-.f64 #s(literal 0 binary64) (+.f64 (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 3 binary64)) (/.f64 #s(literal -1/3 binary64) x)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal 27 binary64)) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))) (sqrt.f64 x))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 #s(literal 9 binary64) (*.f64 y y)) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (-.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 #s(literal 3 binary64) y)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 y y)) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) (sqrt.f64 x))) (-.f64 #s(literal 0 binary64) (+.f64 (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 3 binary64)) (/.f64 #s(literal -1/3 binary64) x)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) #s(literal 3 binary64)) (*.f64 #s(literal 27 binary64) (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y)) #s(literal 2 binary64)) (*.f64 (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (sqrt.f64 x) (/.f64 x #s(literal 1/3 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64))) (*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64)))) (-.f64 (*.f64 (/.f64 (sqrt.f64 x) (/.f64 x #s(literal 1/3 binary64))) (/.f64 (sqrt.f64 x) (/.f64 x #s(literal 1/3 binary64)))) (*.f64 (*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64))) (/.f64 (sqrt.f64 x) (/.f64 x #s(literal 1/3 binary64))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64)) (sqrt.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) x) (sqrt.f64 x)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64)) (sqrt.f64 x)) (*.f64 (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64)) (sqrt.f64 x))) (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) x) (sqrt.f64 x)) (*.f64 (/.f64 #s(literal 1/3 binary64) x) (sqrt.f64 x))) (*.f64 (*.f64 (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64)) (sqrt.f64 x)) (*.f64 (/.f64 #s(literal 1/3 binary64) x) (sqrt.f64 x)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) #s(literal 2 binary64)) (pow.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y)) #s(literal 2 binary64))) (-.f64 (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64))) (*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64)))) (*.f64 (/.f64 (sqrt.f64 x) (/.f64 x #s(literal 1/3 binary64))) (/.f64 (sqrt.f64 x) (/.f64 x #s(literal 1/3 binary64))))) (-.f64 (*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64))) (/.f64 (sqrt.f64 x) (/.f64 x #s(literal 1/3 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64)) (sqrt.f64 x)) (*.f64 (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64)) (sqrt.f64 x))) (*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) x) (sqrt.f64 x)) (*.f64 (/.f64 #s(literal 1/3 binary64) x) (sqrt.f64 x)))) (-.f64 (*.f64 (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64)) (sqrt.f64 x)) (*.f64 (/.f64 #s(literal 1/3 binary64) x) (sqrt.f64 x)))) |
(*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) |
(*.f64 (+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (sqrt.f64 x)) |
(*.f64 (+.f64 (*.f64 #s(literal 27 binary64) (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) (pow.f64 (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) #s(literal 2 binary64)) (*.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y)) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))))))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y)) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))))) |
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(*.f64 (+.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))))) |
(*.f64 (+.f64 (*.f64 y (*.f64 y y)) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y y) (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) (*.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))))))) |
(*.f64 (-.f64 (*.f64 y y) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))))) |
(*.f64 (/.f64 (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))) (/.f64 (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) #s(literal 1 binary64))) |
(+.f64 y (/.f64 #s(literal 1/9 binary64) x)) |
(+.f64 (/.f64 #s(literal 1/9 binary64) x) y) |
(+.f64 (/.f64 (*.f64 y y) (-.f64 y (/.f64 #s(literal 1/9 binary64) x))) (neg.f64 (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 81 binary64)) (-.f64 y (/.f64 #s(literal 1/9 binary64) x))))) |
(-.f64 y (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/9 binary64) x))) |
(-.f64 (/.f64 (*.f64 y y) (-.f64 y (/.f64 #s(literal 1/9 binary64) x))) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 81 binary64)) (-.f64 y (/.f64 #s(literal 1/9 binary64) x)))) |
(-.f64 (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 81 binary64)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y)) (/.f64 (*.f64 y y) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x) y) |
(fma.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64) y) |
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/9 binary64) x)) y) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) y) |
(fma.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1 binary64) x) y) |
(fma.f64 (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64)) y) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 81 binary64)) (-.f64 (*.f64 y y) (/.f64 y (*.f64 x #s(literal 9 binary64))))) (+.f64 (*.f64 y (*.f64 y y)) (/.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 x x)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (-.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 81 binary64)) (*.f64 y y)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))))) |
(/.f64 (+.f64 (*.f64 y (*.f64 y y)) (/.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 x x)))) (+.f64 (*.f64 y y) (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 x #s(literal 9 binary64))))) |
(/.f64 (+.f64 (*.f64 y (*.f64 y y)) (/.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 x x)))) (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 81 binary64)) (-.f64 (*.f64 y y) (/.f64 y (*.f64 x #s(literal 9 binary64)))))) |
(/.f64 (-.f64 (*.f64 y y) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 81 binary64))) (-.f64 y (/.f64 #s(literal 1/9 binary64) x))) |
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 y (*.f64 y y)) (/.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 x x))))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 y y) (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 x #s(literal 9 binary64)))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 y (*.f64 y y)) (/.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 x x))))) (neg.f64 (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 81 binary64)) (-.f64 (*.f64 y y) (/.f64 y (*.f64 x #s(literal 9 binary64))))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 y y) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 81 binary64)))) (-.f64 #s(literal 0 binary64) (-.f64 y (/.f64 #s(literal 1/9 binary64) x)))) |
(/.f64 (-.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 81 binary64)) (*.f64 y y)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y)) |
(/.f64 (-.f64 (*.f64 (*.f64 y y) (-.f64 y (/.f64 #s(literal 1/9 binary64) x))) (*.f64 (-.f64 y (/.f64 #s(literal 1/9 binary64) x)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 81 binary64)))) (*.f64 (-.f64 y (/.f64 #s(literal 1/9 binary64) x)) (-.f64 y (/.f64 #s(literal 1/9 binary64) x)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 y (*.f64 y y)) (/.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 x x)))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 y y) (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 x #s(literal 9 binary64))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 y y) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 81 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 y (/.f64 #s(literal 1/9 binary64) x))))) |
(/.f64 (neg.f64 (-.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 81 binary64)) (*.f64 y y))) (neg.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) y))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 y y) (-.f64 y (/.f64 #s(literal 1/9 binary64) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 81 binary64)) (-.f64 y (/.f64 #s(literal 1/9 binary64) x))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (*.f64 y y) (-.f64 y (/.f64 #s(literal 1/9 binary64) x))) (/.f64 (*.f64 y y) (-.f64 y (/.f64 #s(literal 1/9 binary64) x)))) (+.f64 (*.f64 (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 81 binary64)) (-.f64 y (/.f64 #s(literal 1/9 binary64) x))) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 81 binary64)) (-.f64 y (/.f64 #s(literal 1/9 binary64) x)))) (*.f64 (/.f64 (*.f64 y y) (-.f64 y (/.f64 #s(literal 1/9 binary64) x))) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 81 binary64)) (-.f64 y (/.f64 #s(literal 1/9 binary64) x))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 y y) (-.f64 y (/.f64 #s(literal 1/9 binary64) x))) (/.f64 (*.f64 y y) (-.f64 y (/.f64 #s(literal 1/9 binary64) x)))) (*.f64 (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 81 binary64)) (-.f64 y (/.f64 #s(literal 1/9 binary64) x))) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 81 binary64)) (-.f64 y (/.f64 #s(literal 1/9 binary64) x))))) (+.f64 (/.f64 (*.f64 y y) (-.f64 y (/.f64 #s(literal 1/9 binary64) x))) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 81 binary64)) (-.f64 y (/.f64 #s(literal 1/9 binary64) x))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) |
(*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) |
(*.f64 (+.f64 (*.f64 y (*.f64 y y)) (/.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y y) (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 x #s(literal 9 binary64)))))) |
(*.f64 (+.f64 (*.f64 y (*.f64 y y)) (/.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 81 binary64)) (-.f64 (*.f64 y y) (/.f64 y (*.f64 x #s(literal 9 binary64))))))) |
(*.f64 (-.f64 (*.f64 y y) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 81 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 y (/.f64 #s(literal 1/9 binary64) x)))) |
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 y (*.f64 y y)) (/.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 y y) (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 x #s(literal 9 binary64))))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 y y) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 81 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 y (/.f64 #s(literal 1/9 binary64) x))))) |
(*.f64 (-.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 81 binary64)) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y))) |
(exp.f64 (log.f64 (/.f64 #s(literal 1/9 binary64) x))) |
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/9 binary64) x))) |
(neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/9 binary64) x))) |
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 x #s(literal 1/9 binary64))) |
(/.f64 #s(literal -1 binary64) (*.f64 x #s(literal -9 binary64))) |
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64)) |
(/.f64 #s(literal 1/9 binary64) x) |
(/.f64 #s(literal -1/9 binary64) (-.f64 #s(literal 0 binary64) x)) |
(pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 x #s(literal 9 binary64)) (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) |
(*.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/9 binary64) x))) |
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/9 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64)) |
(*.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 x #s(literal 1/3 binary64))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/3 binary64) x)) |
(neg.f64 (/.f64 #s(literal -1/3 binary64) x)) |
(/.f64 #s(literal 1/3 binary64) x) |
(/.f64 #s(literal 1 binary64) (/.f64 x #s(literal 1/3 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 x #s(literal 1/3 binary64))))) |
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 x #s(literal 1/3 binary64)))) |
(/.f64 #s(literal -1/3 binary64) (-.f64 #s(literal 0 binary64) x)) |
(pow.f64 (/.f64 x #s(literal 1/3 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/3 binary64) x)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 x #s(literal 1/3 binary64))))) |
(*.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) |
(*.f64 (pow.f64 (/.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
| 1× | egg-herbie |
| 4436× | *-lowering-*.f32 |
| 4436× | *-lowering-*.f64 |
| 1918× | fnmadd-define |
| 1502× | times-frac |
| 1010× | associate-*r* |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 130 | 1241 |
| 1 | 386 | 1181 |
| 2 | 1263 | 1154 |
| 3 | 4437 | 1154 |
| 0 | 8615 | 1154 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/3 (sqrt (/ 1 x))) |
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x) |
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x) |
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x) |
(* (sqrt x) (- (* 3 y) 3)) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3)))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3)))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3)))) |
(* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))))) |
(* (sqrt x) (- (* 1/3 (/ 1 x)) 3)) |
(+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3))) |
(+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3))) |
(+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3))) |
(* 3 (* (sqrt x) y)) |
(* y (+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y)))) |
(* y (+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y)))) |
(* y (+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y)))) |
(* 3 (* (sqrt x) y)) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y)))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y)))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y)))))) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(- (* 1/3 (/ 1 x)) 3) |
(- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3) |
(- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3) |
(- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3) |
(* 3 y) |
(* y (- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y)))) |
(* y (- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y)))) |
(* y (- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y)))) |
(* 3 y) |
(* -1 (* y (- (* -1 (/ (- (* 1/3 (/ 1 x)) 3) y)) 3))) |
(* -1 (* y (- (* -1 (/ (- (* 1/3 (/ 1 x)) 3) y)) 3))) |
(* -1 (* y (- (* -1 (/ (- (* 1/3 (/ 1 x)) 3) y)) 3))) |
(/ 1/3 x) |
(/ (+ 1/3 (* x (- (* 3 y) 3))) x) |
(/ (+ 1/3 (* x (- (* 3 y) 3))) x) |
(/ (+ 1/3 (* x (- (* 3 y) 3))) x) |
(- (* 3 y) 3) |
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3) |
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3) |
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3) |
(- (* 3 y) 3) |
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3) |
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3) |
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 1/3 (sqrt (/ 1 x))) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(* 3 (* (sqrt x) (- y 1))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1)))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(* 3 (* (sqrt x) y)) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(* 3 (* (sqrt x) y)) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(- (* 1/9 (/ 1 x)) 1) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
y |
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y))) |
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y))) |
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y))) |
y |
(* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1))) |
(* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1))) |
(* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1))) |
(/ 1/9 x) |
(/ (+ 1/9 (* x (- y 1))) x) |
(/ (+ 1/9 (* x (- y 1))) x) |
(/ (+ 1/9 (* x (- y 1))) x) |
(- y 1) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
(- y 1) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
(/ 1/9 x) |
(+ y (* 1/9 (/ 1 x))) |
(+ y (* 1/9 (/ 1 x))) |
(+ y (* 1/9 (/ 1 x))) |
y |
(* y (+ 1 (* 1/9 (/ 1 (* x y))))) |
(* y (+ 1 (* 1/9 (/ 1 (* x y))))) |
(* y (+ 1 (* 1/9 (/ 1 (* x y))))) |
y |
(* y (+ 1 (* 1/9 (/ 1 (* x y))))) |
(* y (+ 1 (* 1/9 (/ 1 (* x y))))) |
(* y (+ 1 (* 1/9 (/ 1 (* x y))))) |
(/ 1/9 x) |
(/ (+ 1/9 (* x y)) x) |
(/ (+ 1/9 (* x y)) x) |
(/ (+ 1/9 (* x y)) x) |
y |
(+ y (* 1/9 (/ 1 x))) |
(+ y (* 1/9 (/ 1 x))) |
(+ y (* 1/9 (/ 1 x))) |
y |
(+ y (* 1/9 (/ 1 x))) |
(+ y (* 1/9 (/ 1 x))) |
(+ y (* 1/9 (/ 1 x))) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/3 x) |
(/ 1/3 x) |
(/ 1/3 x) |
(/ 1/3 x) |
(/ 1/3 x) |
(/ 1/3 x) |
(/ 1/3 x) |
(/ 1/3 x) |
(/ 1/3 x) |
(/ 1/3 x) |
(/ 1/3 x) |
(/ 1/3 x) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
| Outputs |
|---|
(* 1/3 (sqrt (/ 1 x))) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x) |
(/.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64)))) x) |
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x) |
(/.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64)))) x) |
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x) |
(/.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64)))) x) |
(* (sqrt x) (- (* 3 y) 3)) |
(*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3)))) |
(*.f64 x (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64))))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3)))) |
(*.f64 x (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64))))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3)))) |
(*.f64 x (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64))))) |
(* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))) |
(*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))))) |
(*.f64 x (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64))))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))))) |
(*.f64 x (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64))))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))))) |
(*.f64 x (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64))))) |
(* (sqrt x) (- (* 1/3 (/ 1 x)) 3)) |
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))) |
(+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3))) |
(*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)))) |
(+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3))) |
(*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)))) |
(+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3))) |
(*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)))) |
(* 3 (* (sqrt x) y)) |
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y)) |
(* y (+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y)))) |
(*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)))) |
(* y (+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y)))) |
(*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)))) |
(* y (+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y)))) |
(*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)))) |
(* 3 (* (sqrt x) y)) |
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y)) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y)))))) |
(*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y)))))) |
(*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y)))))) |
(*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)))) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(- (* 1/3 (/ 1 x)) 3) |
(+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) |
(- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3) |
(+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))) |
(- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3) |
(+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))) |
(- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3) |
(+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))) |
(* 3 y) |
(*.f64 #s(literal 3 binary64) y) |
(* y (- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y)))) |
(+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))) |
(* y (- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y)))) |
(+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))) |
(* y (- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y)))) |
(+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))) |
(* 3 y) |
(*.f64 #s(literal 3 binary64) y) |
(* -1 (* y (- (* -1 (/ (- (* 1/3 (/ 1 x)) 3) y)) 3))) |
(+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))) |
(* -1 (* y (- (* -1 (/ (- (* 1/3 (/ 1 x)) 3) y)) 3))) |
(+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))) |
(* -1 (* y (- (* -1 (/ (- (* 1/3 (/ 1 x)) 3) y)) 3))) |
(+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ (+ 1/3 (* x (- (* 3 y) 3))) x) |
(/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64)))) x) |
(/ (+ 1/3 (* x (- (* 3 y) 3))) x) |
(/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64)))) x) |
(/ (+ 1/3 (* x (- (* 3 y) 3))) x) |
(/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64)))) x) |
(- (* 3 y) 3) |
(+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64)) |
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3) |
(+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))) |
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3) |
(+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))) |
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3) |
(+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))) |
(- (* 3 y) 3) |
(+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64)) |
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3) |
(+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))) |
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3) |
(+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))) |
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3) |
(+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))) |
(* 3 y) |
(*.f64 #s(literal 3 binary64) y) |
(* 3 y) |
(*.f64 #s(literal 3 binary64) y) |
(* 3 y) |
(*.f64 #s(literal 3 binary64) y) |
(* 3 y) |
(*.f64 #s(literal 3 binary64) y) |
(* 3 y) |
(*.f64 #s(literal 3 binary64) y) |
(* 3 y) |
(*.f64 #s(literal 3 binary64) y) |
(* 3 y) |
(*.f64 #s(literal 3 binary64) y) |
(* 3 y) |
(*.f64 #s(literal 3 binary64) y) |
(* 3 y) |
(*.f64 #s(literal 3 binary64) y) |
(* 3 y) |
(*.f64 #s(literal 3 binary64) y) |
(* 3 y) |
(*.f64 #s(literal 3 binary64) y) |
(* 3 y) |
(*.f64 #s(literal 3 binary64) y) |
(* 1/3 (sqrt (/ 1 x))) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(/.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64)))) x) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(/.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64)))) x) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(/.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64)))) x) |
(* 3 (* (sqrt x) (- y 1))) |
(*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(*.f64 x (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64))))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(*.f64 x (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64))))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(*.f64 x (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64))))) |
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1)))) |
(*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(*.f64 x (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64))))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(*.f64 x (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64))))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(*.f64 x (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64))))) |
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) |
(*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/9 binary64) x)))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 y (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x))))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 y (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x))))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 y (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x))))) |
(* 3 (* (sqrt x) y)) |
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y)) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 y (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x))))) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 y (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x))))) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 y (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x))))) |
(* 3 (* (sqrt x) y)) |
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y)) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 y (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 y (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 y (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x))))) |
(- (* 1/9 (/ 1 x)) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
(+.f64 y (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x))) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
(+.f64 y (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x))) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
(+.f64 y (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x))) |
y |
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y))) |
(+.f64 y (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x))) |
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y))) |
(+.f64 y (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x))) |
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y))) |
(+.f64 y (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x))) |
y |
(* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1))) |
(+.f64 y (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x))) |
(* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1))) |
(+.f64 y (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x))) |
(* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1))) |
(+.f64 y (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x))) |
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
(/ (+ 1/9 (* x (- y 1))) x) |
(/.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64)))) x) |
(/ (+ 1/9 (* x (- y 1))) x) |
(/.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64)))) x) |
(/ (+ 1/9 (* x (- y 1))) x) |
(/.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64)))) x) |
(- y 1) |
(+.f64 y #s(literal -1 binary64)) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
(+.f64 y (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x))) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
(+.f64 y (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x))) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
(+.f64 y (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x))) |
(- y 1) |
(+.f64 y #s(literal -1 binary64)) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
(+.f64 y (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x))) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
(+.f64 y (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x))) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
(+.f64 y (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x))) |
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
(+ y (* 1/9 (/ 1 x))) |
(+.f64 y (/.f64 #s(literal 1/9 binary64) x)) |
(+ y (* 1/9 (/ 1 x))) |
(+.f64 y (/.f64 #s(literal 1/9 binary64) x)) |
(+ y (* 1/9 (/ 1 x))) |
(+.f64 y (/.f64 #s(literal 1/9 binary64) x)) |
y |
(* y (+ 1 (* 1/9 (/ 1 (* x y))))) |
(+.f64 y (/.f64 #s(literal 1/9 binary64) x)) |
(* y (+ 1 (* 1/9 (/ 1 (* x y))))) |
(+.f64 y (/.f64 #s(literal 1/9 binary64) x)) |
(* y (+ 1 (* 1/9 (/ 1 (* x y))))) |
(+.f64 y (/.f64 #s(literal 1/9 binary64) x)) |
y |
(* y (+ 1 (* 1/9 (/ 1 (* x y))))) |
(+.f64 y (/.f64 #s(literal 1/9 binary64) x)) |
(* y (+ 1 (* 1/9 (/ 1 (* x y))))) |
(+.f64 y (/.f64 #s(literal 1/9 binary64) x)) |
(* y (+ 1 (* 1/9 (/ 1 (* x y))))) |
(+.f64 y (/.f64 #s(literal 1/9 binary64) x)) |
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
(/ (+ 1/9 (* x y)) x) |
(/.f64 (+.f64 (*.f64 x y) #s(literal 1/9 binary64)) x) |
(/ (+ 1/9 (* x y)) x) |
(/.f64 (+.f64 (*.f64 x y) #s(literal 1/9 binary64)) x) |
(/ (+ 1/9 (* x y)) x) |
(/.f64 (+.f64 (*.f64 x y) #s(literal 1/9 binary64)) x) |
y |
(+ y (* 1/9 (/ 1 x))) |
(+.f64 y (/.f64 #s(literal 1/9 binary64) x)) |
(+ y (* 1/9 (/ 1 x))) |
(+.f64 y (/.f64 #s(literal 1/9 binary64) x)) |
(+ y (* 1/9 (/ 1 x))) |
(+.f64 y (/.f64 #s(literal 1/9 binary64) x)) |
y |
(+ y (* 1/9 (/ 1 x))) |
(+.f64 y (/.f64 #s(literal 1/9 binary64) x)) |
(+ y (* 1/9 (/ 1 x))) |
(+.f64 y (/.f64 #s(literal 1/9 binary64) x)) |
(+ y (* 1/9 (/ 1 x))) |
(+.f64 y (/.f64 #s(literal 1/9 binary64) x)) |
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(* 3 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(* 3 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(* 3 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(* 3 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(* 3 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(* 3 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(* 3 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(* 3 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
Compiled 12903 to 1220 computations (90.5% saved)
27 alts after pruning (25 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 497 | 25 | 522 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 2 | 2 |
| Done | 0 | 0 | 0 |
| Total | 497 | 27 | 524 |
| Status | Accuracy | Program |
|---|---|---|
| 70.0% | (/.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64)))) x) | |
| 68.5% | (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 y y)) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) (sqrt.f64 x)) (+.f64 (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 3 binary64)) (/.f64 #s(literal -1/3 binary64) x))) | |
| 48.0% | (/.f64 (*.f64 (+.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal 27 binary64)) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))) (sqrt.f64 x)) (+.f64 (*.f64 #s(literal 9 binary64) (*.f64 y y)) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (-.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 #s(literal 3 binary64) y))))) | |
| 99.3% | (/.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))) | |
| 48.0% | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 9 binary64) (*.f64 y y)) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (-.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 #s(literal 3 binary64) y)))) (*.f64 (+.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal 27 binary64)) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))) (sqrt.f64 x)))) | |
| 68.8% | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) (*.f64 (+.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) #s(literal -1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))) | |
| 69.9% | (*.f64 (/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))) (/.f64 (+.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) #s(literal -1 binary64)) #s(literal 1 binary64))) | |
| 68.5% | (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 y y)) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 3 binary64)) (/.f64 #s(literal -1/3 binary64) x)))) | |
| 99.4% | (*.f64 (*.f64 (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) #s(literal 3 binary64)) (sqrt.f64 x)) | |
| 99.4% | (*.f64 (*.f64 (sqrt.f64 x) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))) #s(literal 3 binary64)) | |
| 70.7% | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)))) (-.f64 #s(literal -1 binary64) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))))) | |
| ▶ | 35.3% | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x)) |
| 62.3% | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) | |
| 99.4% | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) #s(literal 1 binary64))) | |
| ✓ | 99.4% | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
| ▶ | 70.4% | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (*.f64 (-.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 81 binary64)) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y))) #s(literal 1 binary64))) |
| 38.7% | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y) | |
| 60.5% | (*.f64 (sqrt.f64 x) (/.f64 (+.f64 (*.f64 (+.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal 27 binary64)) #s(literal -27 binary64)) x) (*.f64 (+.f64 (*.f64 #s(literal 9 binary64) (*.f64 y y)) (-.f64 #s(literal 9 binary64) (*.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64)))) #s(literal 1/3 binary64))) (*.f64 (+.f64 (*.f64 #s(literal 9 binary64) (*.f64 y y)) (-.f64 #s(literal 9 binary64) (*.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64)))) x))) | |
| ▶ | 71.5% | (*.f64 (sqrt.f64 x) (/.f64 (+.f64 (*.f64 (+.f64 (*.f64 #s(literal 9 binary64) (*.f64 y y)) #s(literal -9 binary64)) (/.f64 x #s(literal 1/3 binary64))) (*.f64 (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 3 binary64)) (/.f64 x #s(literal 1/3 binary64))))) |
| 71.6% | (*.f64 (sqrt.f64 x) (/.f64 (+.f64 (*.f64 (+.f64 (*.f64 #s(literal 9 binary64) (*.f64 y y)) #s(literal -9 binary64)) x) (*.f64 (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))) (*.f64 (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 3 binary64)) x))) | |
| 35.4% | (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) x)) | |
| 62.3% | (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))) | |
| ✓ | 99.4% | (*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) |
| ▶ | 99.4% | (*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 #s(literal -3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64))))) |
| 64.5% | (*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64))) | |
| 38.7% | (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y)) | |
| ▶ | 35.4% | (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
Compiled 1172 to 731 computations (37.6% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 128 | (*.f64 (+.f64 (*.f64 #s(literal 9 binary64) (*.f64 y y)) #s(literal -9 binary64)) (/.f64 x #s(literal 1/3 binary64))) |
| ✓ | cost-diff | 256 | (+.f64 (*.f64 (+.f64 (*.f64 #s(literal 9 binary64) (*.f64 y y)) #s(literal -9 binary64)) (/.f64 x #s(literal 1/3 binary64))) (*.f64 (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 3 binary64)) #s(literal 1 binary64))) |
| ✓ | cost-diff | 384 | (/.f64 (+.f64 (*.f64 (+.f64 (*.f64 #s(literal 9 binary64) (*.f64 y y)) #s(literal -9 binary64)) (/.f64 x #s(literal 1/3 binary64))) (*.f64 (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 3 binary64)) (/.f64 x #s(literal 1/3 binary64)))) |
| ✓ | cost-diff | 384 | (*.f64 (sqrt.f64 x) (/.f64 (+.f64 (*.f64 (+.f64 (*.f64 #s(literal 9 binary64) (*.f64 y y)) #s(literal -9 binary64)) (/.f64 x #s(literal 1/3 binary64))) (*.f64 (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 3 binary64)) (/.f64 x #s(literal 1/3 binary64))))) |
| ✓ | cost-diff | 128 | (-.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 81 binary64)) (*.f64 y y)) |
| ✓ | cost-diff | 256 | (*.f64 (-.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 81 binary64)) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y))) |
| ✓ | cost-diff | 256 | (-.f64 (*.f64 (-.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 81 binary64)) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y))) #s(literal 1 binary64)) |
| ✓ | cost-diff | 256 | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (*.f64 (-.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 81 binary64)) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y))) #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1/9 binary64) x) |
| ✓ | cost-diff | 0 | (sqrt.f64 x) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
| ✓ | cost-diff | 128 | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) x) |
| ✓ | cost-diff | 0 | (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
| ✓ | cost-diff | 128 | (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) |
| ✓ | cost-diff | 128 | (+.f64 #s(literal -3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64))) |
| ✓ | cost-diff | 128 | (+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 #s(literal -3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)))) |
| ✓ | cost-diff | 128 | (*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 #s(literal -3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64))))) |
| 3260× | *-lowering-*.f32 |
| 3260× | *-lowering-*.f64 |
| 1572× | sum4-define |
| 1556× | +-lowering-+.f64 |
| 1556× | +-lowering-+.f32 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 288 |
| 1 | 114 | 279 |
| 2 | 306 | 274 |
| 3 | 983 | 270 |
| 4 | 3008 | 269 |
| 5 | 6859 | 269 |
| 0 | 8005 | 269 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (sqrt x) (+ (* 3 y) (+ -3 (* (/ 1 x) 1/3)))) |
(sqrt x) |
x |
(+ (* 3 y) (+ -3 (* (/ 1 x) 1/3))) |
(* 3 y) |
3 |
y |
(+ -3 (* (/ 1 x) 1/3)) |
-3 |
(* (/ 1 x) 1/3) |
(/ 1 x) |
1 |
1/3 |
(* 1/3 (sqrt (/ 1 x))) |
1/3 |
(sqrt (/ 1 x)) |
(/ 1 x) |
1 |
x |
(* (* 3 (sqrt x)) (/ 1/9 x)) |
(* 3 (sqrt x)) |
3 |
(sqrt x) |
x |
(/ 1/9 x) |
1/9 |
(* (* 3 (sqrt x)) (- (* (- (/ (/ (/ 1 x) x) 81) (* y y)) (/ 1 (- (/ 1/9 x) y))) 1)) |
(* 3 (sqrt x)) |
3 |
(sqrt x) |
x |
(- (* (- (/ (/ (/ 1 x) x) 81) (* y y)) (/ 1 (- (/ 1/9 x) y))) 1) |
(* (- (/ (/ (/ 1 x) x) 81) (* y y)) (/ 1 (- (/ 1/9 x) y))) |
(- (/ (/ (/ 1 x) x) 81) (* y y)) |
(/ (/ (/ 1 x) x) 81) |
(/ (/ 1 x) x) |
(/ 1 x) |
1 |
81 |
(* y y) |
y |
(/ 1 (- (/ 1/9 x) y)) |
(- (/ 1/9 x) y) |
(/ 1/9 x) |
1/9 |
(* (sqrt x) (/ (+ (* (+ (* 9 (* y y)) -9) (/ x 1/3)) (* (+ (* 3 y) 3) 1)) (* (+ (* 3 y) 3) (/ x 1/3)))) |
(sqrt x) |
x |
(/ (+ (* (+ (* 9 (* y y)) -9) (/ x 1/3)) (* (+ (* 3 y) 3) 1)) (* (+ (* 3 y) 3) (/ x 1/3))) |
(+ (* (+ (* 9 (* y y)) -9) (/ x 1/3)) (* (+ (* 3 y) 3) 1)) |
(* (+ (* 9 (* y y)) -9) (/ x 1/3)) |
(+ (* 9 (* y y)) -9) |
(* 9 (* y y)) |
9 |
(* y y) |
y |
-9 |
(/ x 1/3) |
1/3 |
(* (+ (* 3 y) 3) 1) |
(+ (* 3 y) 3) |
(* 3 y) |
3 |
1 |
(* (+ (* 3 y) 3) (/ x 1/3)) |
| Outputs |
|---|
(* (sqrt x) (+ (* 3 y) (+ -3 (* (/ 1 x) 1/3)))) |
(*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) |
(sqrt x) |
(sqrt.f64 x) |
x |
(+ (* 3 y) (+ -3 (* (/ 1 x) 1/3))) |
(+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
(* 3 y) |
(*.f64 #s(literal 3 binary64) y) |
3 |
#s(literal 3 binary64) |
y |
(+ -3 (* (/ 1 x) 1/3)) |
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) |
-3 |
#s(literal -3 binary64) |
(* (/ 1 x) 1/3) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
1 |
#s(literal 1 binary64) |
1/3 |
#s(literal 1/3 binary64) |
(* 1/3 (sqrt (/ 1 x))) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
1/3 |
#s(literal 1/3 binary64) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
1 |
#s(literal 1 binary64) |
x |
(* (* 3 (sqrt x)) (/ 1/9 x)) |
(/.f64 (sqrt.f64 x) (/.f64 x #s(literal 1/3 binary64))) |
(* 3 (sqrt x)) |
(/.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) |
3 |
#s(literal 3 binary64) |
(sqrt x) |
(sqrt.f64 x) |
x |
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
1/9 |
#s(literal 1/9 binary64) |
(* (* 3 (sqrt x)) (- (* (- (/ (/ (/ 1 x) x) 81) (* y y)) (/ 1 (- (/ 1/9 x) y))) 1)) |
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) (+.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/81 binary64) x) x) (*.f64 y y)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y)) #s(literal -1 binary64))) |
(* 3 (sqrt x)) |
(/.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) |
3 |
#s(literal 3 binary64) |
(sqrt x) |
(sqrt.f64 x) |
x |
(- (* (- (/ (/ (/ 1 x) x) 81) (* y y)) (/ 1 (- (/ 1/9 x) y))) 1) |
(+.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/81 binary64) x) x) (*.f64 y y)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y)) #s(literal -1 binary64)) |
(* (- (/ (/ (/ 1 x) x) 81) (* y y)) (/ 1 (- (/ 1/9 x) y))) |
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/81 binary64) x) x) (*.f64 y y)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y)) |
(- (/ (/ (/ 1 x) x) 81) (* y y)) |
(-.f64 (/.f64 (/.f64 #s(literal 1/81 binary64) x) x) (*.f64 y y)) |
(/ (/ (/ 1 x) x) 81) |
(/.f64 (/.f64 #s(literal 1/81 binary64) x) x) |
(/ (/ 1 x) x) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
1 |
#s(literal 1 binary64) |
81 |
#s(literal 81 binary64) |
(* y y) |
(*.f64 y y) |
y |
(/ 1 (- (/ 1/9 x) y)) |
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y)) |
(- (/ 1/9 x) y) |
(-.f64 (/.f64 #s(literal 1/9 binary64) x) y) |
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
1/9 |
#s(literal 1/9 binary64) |
(* (sqrt x) (/ (+ (* (+ (* 9 (* y y)) -9) (/ x 1/3)) (* (+ (* 3 y) 3) 1)) (* (+ (* 3 y) 3) (/ x 1/3)))) |
(/.f64 (*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 #s(literal 3 binary64) (*.f64 x (+.f64 (*.f64 (*.f64 y y) #s(literal 27 binary64)) #s(literal -27 binary64)))))) (/.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))) #s(literal 1/9 binary64))) |
(sqrt x) |
(sqrt.f64 x) |
x |
(/ (+ (* (+ (* 9 (* y y)) -9) (/ x 1/3)) (* (+ (* 3 y) 3) 1)) (* (+ (* 3 y) 3) (/ x 1/3))) |
(/.f64 (+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 #s(literal 3 binary64) (*.f64 x (+.f64 (*.f64 (*.f64 y y) #s(literal 27 binary64)) #s(literal -27 binary64))))) (/.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))) #s(literal 1/9 binary64))) |
(+ (* (+ (* 9 (* y y)) -9) (/ x 1/3)) (* (+ (* 3 y) 3) 1)) |
(+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 #s(literal 3 binary64) (*.f64 x (+.f64 (*.f64 (*.f64 y y) #s(literal 27 binary64)) #s(literal -27 binary64))))) |
(* (+ (* 9 (* y y)) -9) (/ x 1/3)) |
(*.f64 x (+.f64 (*.f64 (*.f64 y y) #s(literal 27 binary64)) #s(literal -27 binary64))) |
(+ (* 9 (* y y)) -9) |
(+.f64 (*.f64 y (*.f64 y #s(literal 9 binary64))) #s(literal -9 binary64)) |
(* 9 (* y y)) |
(*.f64 y (*.f64 y #s(literal 9 binary64))) |
9 |
#s(literal 9 binary64) |
(* y y) |
(*.f64 y y) |
y |
-9 |
#s(literal -9 binary64) |
(/ x 1/3) |
(/.f64 x #s(literal 1/3 binary64)) |
1/3 |
#s(literal 1/3 binary64) |
(* (+ (* 3 y) 3) 1) |
(+.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) y)) |
(+ (* 3 y) 3) |
(+.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) y)) |
(* 3 y) |
(*.f64 #s(literal 3 binary64) y) |
3 |
#s(literal 3 binary64) |
1 |
#s(literal 1 binary64) |
(* (+ (* 3 y) 3) (/ x 1/3)) |
(/.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))) #s(literal 1/9 binary64)) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.7% | (*.f64 (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 3 binary64)) (/.f64 x #s(literal 1/3 binary64))) |
| ✓ | accuracy | 99.7% | (*.f64 (sqrt.f64 x) (/.f64 (+.f64 (*.f64 (+.f64 (*.f64 #s(literal 9 binary64) (*.f64 y y)) #s(literal -9 binary64)) (/.f64 x #s(literal 1/3 binary64))) (*.f64 (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 3 binary64)) (/.f64 x #s(literal 1/3 binary64))))) |
| ✓ | accuracy | 96.5% | (*.f64 (+.f64 (*.f64 #s(literal 9 binary64) (*.f64 y y)) #s(literal -9 binary64)) (/.f64 x #s(literal 1/3 binary64))) |
| ✓ | accuracy | 85.3% | (/.f64 (+.f64 (*.f64 (+.f64 (*.f64 #s(literal 9 binary64) (*.f64 y y)) #s(literal -9 binary64)) (/.f64 x #s(literal 1/3 binary64))) (*.f64 (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 3 binary64)) (/.f64 x #s(literal 1/3 binary64)))) |
| ✓ | accuracy | 99.7% | (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
| ✓ | accuracy | 99.6% | (/.f64 #s(literal 1/9 binary64) x) |
| ✓ | accuracy | 97.1% | (-.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 81 binary64)) (*.f64 y y)) |
| ✓ | accuracy | 75.8% | (*.f64 (-.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 81 binary64)) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y))) |
| ✓ | accuracy | 100.0% | (sqrt.f64 x) |
| ✓ | accuracy | 99.7% | (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
| ✓ | accuracy | 99.6% | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x)) |
| ✓ | accuracy | 99.6% | (/.f64 #s(literal 1/9 binary64) x) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) x) |
| ✓ | accuracy | 99.8% | (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
| ✓ | accuracy | 99.6% | (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
| ✓ | accuracy | 100.0% | (sqrt.f64 x) |
| ✓ | accuracy | 99.9% | (+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 #s(literal -3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)))) |
| ✓ | accuracy | 99.7% | (*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 #s(literal -3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64))))) |
| ✓ | accuracy | 99.6% | (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) |
| 557.0ms | 91× | 5 | exit |
| 91.0ms | 132× | 0 | valid |
| 47.0ms | 18× | 1 | valid |
| 21.0ms | 11× | 2 | valid |
| 8.0ms | 3× | 3 | valid |
| 4.0ms | 1× | 4 | valid |
Compiled 354 to 42 computations (88.1% saved)
backward-pass: 105.0ms (31% of total)ival-mult: 86.0ms (25.4% of total)ival-div: 84.0ms (24.8% of total)...c/correct-round.rkt:119:19: 32.0ms (9.5% of total)ival-add: 16.0ms (4.7% of total)ival-sqrt: 8.0ms (2.4% of total)ival-sub: 7.0ms (2.1% of total)const: 2.0ms (0.6% of total)| Inputs |
|---|
#<alt (* (sqrt x) (+ (* 3 y) (+ -3 (* (/ 1 x) 1/3))))> |
#<alt (+ (* 3 y) (+ -3 (* (/ 1 x) 1/3)))> |
#<alt (+ -3 (* (/ 1 x) 1/3))> |
#<alt (* (/ 1 x) 1/3)> |
#<alt (* 1/3 (sqrt (/ 1 x)))> |
#<alt (sqrt (/ 1 x))> |
#<alt (/ 1 x)> |
#<alt (* (* 3 (sqrt x)) (/ 1/9 x))> |
#<alt (* 3 (sqrt x))> |
#<alt (sqrt x)> |
#<alt (/ 1/9 x)> |
#<alt (* (* 3 (sqrt x)) (- (* (- (/ (/ (/ 1 x) x) 81) (* y y)) (/ 1 (- (/ 1/9 x) y))) 1))> |
#<alt (- (* (- (/ (/ (/ 1 x) x) 81) (* y y)) (/ 1 (- (/ 1/9 x) y))) 1)> |
#<alt (* (- (/ (/ (/ 1 x) x) 81) (* y y)) (/ 1 (- (/ 1/9 x) y)))> |
#<alt (- (/ (/ (/ 1 x) x) 81) (* y y))> |
#<alt (* (sqrt x) (/ (+ (* (+ (* 9 (* y y)) -9) (/ x 1/3)) (* (+ (* 3 y) 3) 1)) (* (+ (* 3 y) 3) (/ x 1/3))))> |
#<alt (/ (+ (* (+ (* 9 (* y y)) -9) (/ x 1/3)) (* (+ (* 3 y) 3) 1)) (* (+ (* 3 y) 3) (/ x 1/3)))> |
#<alt (+ (* (+ (* 9 (* y y)) -9) (/ x 1/3)) (* (+ (* 3 y) 3) 1))> |
#<alt (* (+ (* 9 (* y y)) -9) (/ x 1/3))> |
#<alt (* (+ (* 3 y) 3) (/ x 1/3))> |
| Outputs |
|---|
#<alt (* 1/3 (sqrt (/ 1 x)))> |
#<alt (/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x)> |
#<alt (/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x)> |
#<alt (/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x)> |
#<alt (* (sqrt x) (- (* 3 y) 3))> |
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3))))> |
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3))))> |
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3))))> |
#<alt (* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (- (* 3 y) 3))))> |
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3))))))> |
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3))))))> |
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3))))))> |
#<alt (* (sqrt x) (- (* 1/3 (/ 1 x)) 3))> |
#<alt (+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3)))> |
#<alt (+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3)))> |
#<alt (+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3)))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* y (+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y))))> |
#<alt (* y (+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y))))> |
#<alt (* y (+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y))))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y))))))> |
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y))))))> |
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y))))))> |
#<alt (- (* 1/3 (/ 1 x)) 3)> |
#<alt (- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3)> |
#<alt (- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3)> |
#<alt (- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3)> |
#<alt (* 3 y)> |
#<alt (* y (- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y))))> |
#<alt (* y (- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y))))> |
#<alt (* y (- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y))))> |
#<alt (* 3 y)> |
#<alt (* -1 (* y (- (* -1 (/ (- (* 1/3 (/ 1 x)) 3) y)) 3)))> |
#<alt (* -1 (* y (- (* -1 (/ (- (* 1/3 (/ 1 x)) 3) y)) 3)))> |
#<alt (* -1 (* y (- (* -1 (/ (- (* 1/3 (/ 1 x)) 3) y)) 3)))> |
#<alt (/ 1/3 x)> |
#<alt (/ (+ 1/3 (* x (- (* 3 y) 3))) x)> |
#<alt (/ (+ 1/3 (* x (- (* 3 y) 3))) x)> |
#<alt (/ (+ 1/3 (* x (- (* 3 y) 3))) x)> |
#<alt (- (* 3 y) 3)> |
#<alt (- (+ (* 3 y) (* 1/3 (/ 1 x))) 3)> |
#<alt (- (+ (* 3 y) (* 1/3 (/ 1 x))) 3)> |
#<alt (- (+ (* 3 y) (* 1/3 (/ 1 x))) 3)> |
#<alt (- (* 3 y) 3)> |
#<alt (- (+ (* 3 y) (* 1/3 (/ 1 x))) 3)> |
#<alt (- (+ (* 3 y) (* 1/3 (/ 1 x))) 3)> |
#<alt (- (+ (* 3 y) (* 1/3 (/ 1 x))) 3)> |
#<alt (/ 1/3 x)> |
#<alt (/ (+ 1/3 (* -3 x)) x)> |
#<alt (/ (+ 1/3 (* -3 x)) x)> |
#<alt (/ (+ 1/3 (* -3 x)) x)> |
#<alt -3> |
#<alt (- (* 1/3 (/ 1 x)) 3)> |
#<alt (- (* 1/3 (/ 1 x)) 3)> |
#<alt (- (* 1/3 (/ 1 x)) 3)> |
#<alt -3> |
#<alt (- (* 1/3 (/ 1 x)) 3)> |
#<alt (- (* 1/3 (/ 1 x)) 3)> |
#<alt (- (* 1/3 (/ 1 x)) 3)> |
#<alt (/ 1/3 x)> |
#<alt (/ 1/3 x)> |
#<alt (/ 1/3 x)> |
#<alt (/ 1/3 x)> |
#<alt (/ 1/3 x)> |
#<alt (/ 1/3 x)> |
#<alt (/ 1/3 x)> |
#<alt (/ 1/3 x)> |
#<alt (/ 1/3 x)> |
#<alt (/ 1/3 x)> |
#<alt (/ 1/3 x)> |
#<alt (/ 1/3 x)> |
#<alt (* 1/3 (sqrt (/ 1 x)))> |
#<alt (* 1/3 (sqrt (/ 1 x)))> |
#<alt (* 1/3 (sqrt (/ 1 x)))> |
#<alt (* 1/3 (sqrt (/ 1 x)))> |
#<alt (* 1/3 (sqrt (/ 1 x)))> |
#<alt (* 1/3 (sqrt (/ 1 x)))> |
#<alt (* 1/3 (sqrt (/ 1 x)))> |
#<alt (* 1/3 (sqrt (/ 1 x)))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))> |
#<alt (sqrt (/ 1 x))> |
#<alt (sqrt (/ 1 x))> |
#<alt (sqrt (/ 1 x))> |
#<alt (sqrt (/ 1 x))> |
#<alt (sqrt (/ 1 x))> |
#<alt (sqrt (/ 1 x))> |
#<alt (sqrt (/ 1 x))> |
#<alt (sqrt (/ 1 x))> |
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))> |
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))> |
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))> |
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (* 1/3 (sqrt (/ 1 x)))> |
#<alt (* 1/3 (sqrt (/ 1 x)))> |
#<alt (* 1/3 (sqrt (/ 1 x)))> |
#<alt (* 1/3 (sqrt (/ 1 x)))> |
#<alt (* 1/3 (sqrt (/ 1 x)))> |
#<alt (* 1/3 (sqrt (/ 1 x)))> |
#<alt (* 1/3 (sqrt (/ 1 x)))> |
#<alt (* 1/3 (sqrt (/ 1 x)))> |
#<alt (* -1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))> |
#<alt (* -1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))> |
#<alt (* -1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))> |
#<alt (* -1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))> |
#<alt (* 3 (sqrt x))> |
#<alt (* 3 (sqrt x))> |
#<alt (* 3 (sqrt x))> |
#<alt (* 3 (sqrt x))> |
#<alt (* 3 (sqrt x))> |
#<alt (* 3 (sqrt x))> |
#<alt (* 3 (sqrt x))> |
#<alt (* 3 (sqrt x))> |
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (/ 1/9 x)> |
#<alt (/ 1/9 x)> |
#<alt (/ 1/9 x)> |
#<alt (/ 1/9 x)> |
#<alt (/ 1/9 x)> |
#<alt (/ 1/9 x)> |
#<alt (/ 1/9 x)> |
#<alt (/ 1/9 x)> |
#<alt (/ 1/9 x)> |
#<alt (/ 1/9 x)> |
#<alt (/ 1/9 x)> |
#<alt (/ 1/9 x)> |
#<alt (* 1/3 (sqrt (/ 1 x)))> |
#<alt (/ (+ (* -3 (* (sqrt (pow x 3)) (+ 1 (* -1 y)))) (* 1/3 (sqrt x))) x)> |
#<alt (/ (+ (* 1/3 (sqrt x)) (* x (+ (* -3 (* (sqrt x) (+ 1 (* -1 y)))) (* -3 (* (sqrt (pow x 3)) (+ (* -9 (pow y 2)) (* 9 (pow y 2)))))))) x)> |
#<alt (/ (+ (* 1/3 (sqrt x)) (* x (+ (* -3 (* (sqrt x) (+ 1 (* -1 y)))) (* -3 (* (sqrt (pow x 3)) (+ (* -9 (pow y 2)) (* 9 (pow y 2)))))))) x)> |
#<alt (* -3 (* (sqrt x) (+ 1 (* -1 y))))> |
#<alt (* x (+ (* -3 (* (sqrt (/ 1 x)) (+ 1 (* -1 y)))) (* 1/3 (sqrt (/ 1 (pow x 3))))))> |
#<alt (* x (+ (* -3 (* (sqrt (/ 1 x)) (+ 1 (* -1 y)))) (* 1/3 (sqrt (/ 1 (pow x 3))))))> |
#<alt (* x (+ (* -3 (* (sqrt (/ 1 x)) (+ 1 (* -1 y)))) (* 1/3 (sqrt (/ 1 (pow x 3))))))> |
#<alt (* 3 (* (sqrt x) (* (pow (sqrt -1) 2) (+ 1 (* -1 y)))))> |
#<alt (* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (+ 1 (* -1 y))))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))> |
#<alt (* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (+ 1 (* -1 y))))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))> |
#<alt (* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (+ 1 (* -1 y))))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))> |
#<alt (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))> |
#<alt (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))> |
#<alt (+ (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) (* y (+ (* -3 (* (sqrt x) (* y (+ (* -9 x) (* 9 x))))) (* 3 (sqrt x)))))> |
#<alt (+ (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) (* y (+ (* -3 (* (sqrt x) (* y (+ (* -9 x) (* 9 x))))) (* 3 (sqrt x)))))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))> |
#<alt (* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))> |
#<alt (* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))> |
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))> |
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))> |
#<alt (/ 1/9 x)> |
#<alt (/ (+ 1/9 (* -1 (* x (+ 1 (* -1 y))))) x)> |
#<alt (/ (+ 1/9 (* x (- (* -1 (* x (+ (* -9 (pow y 2)) (* 9 (pow y 2))))) (+ 1 (* -1 y))))) x)> |
#<alt (/ (+ 1/9 (* x (- (* -1 (* x (+ (* -9 (pow y 2)) (* 9 (pow y 2))))) (+ 1 (* -1 y))))) x)> |
#<alt (* -1 (+ 1 (* -1 y)))> |
#<alt (- (* 1/9 (/ 1 x)) (+ 1 (* -1 y)))> |
#<alt (- (* 1/9 (/ 1 x)) (+ 1 (* -1 y)))> |
#<alt (- (* 1/9 (/ 1 x)) (+ 1 (* -1 y)))> |
#<alt (* -1 (+ 1 (* -1 y)))> |
#<alt (- (* 1/9 (/ 1 x)) (+ 1 (* -1 y)))> |
#<alt (- (* 1/9 (/ 1 x)) (+ 1 (* -1 y)))> |
#<alt (- (* 1/9 (/ 1 x)) (+ 1 (* -1 y)))> |
#<alt (- (* 1/9 (/ 1 x)) 1)> |
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)> |
#<alt (- (+ (* 1/9 (/ 1 x)) (* y (+ 1 (* -1 (* y (+ (* -9 x) (* 9 x))))))) 1)> |
#<alt (- (+ (* 1/9 (/ 1 x)) (* y (+ 1 (* -1 (* y (+ (* -9 x) (* 9 x))))))) 1)> |
#<alt y> |
#<alt (* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y)))> |
#<alt (* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y)))> |
#<alt (* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y)))> |
#<alt y> |
#<alt (* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1)))> |
#<alt (* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1)))> |
#<alt (* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1)))> |
#<alt (/ 1/9 x)> |
#<alt (/ (+ 1/9 (* x y)) x)> |
#<alt (/ (+ 1/9 (* x y)) x)> |
#<alt (/ (+ 1/9 (* x y)) x)> |
#<alt y> |
#<alt (+ y (* 1/9 (/ 1 x)))> |
#<alt (+ y (* 1/9 (/ 1 x)))> |
#<alt (+ y (* 1/9 (/ 1 x)))> |
#<alt y> |
#<alt (+ y (* 1/9 (/ 1 x)))> |
#<alt (+ y (* 1/9 (/ 1 x)))> |
#<alt (+ y (* 1/9 (/ 1 x)))> |
#<alt (/ 1/9 x)> |
#<alt (+ y (* 1/9 (/ 1 x)))> |
#<alt (+ y (* 1/9 (/ 1 x)))> |
#<alt (+ y (* 1/9 (/ 1 x)))> |
#<alt y> |
#<alt (* y (+ 1 (* 1/9 (/ 1 (* x y)))))> |
#<alt (* y (+ 1 (* 1/9 (/ 1 (* x y)))))> |
#<alt (* y (+ 1 (* 1/9 (/ 1 (* x y)))))> |
#<alt y> |
#<alt (* y (+ 1 (* 1/9 (/ 1 (* x y)))))> |
#<alt (* y (+ 1 (* 1/9 (/ 1 (* x y)))))> |
#<alt (* y (+ 1 (* 1/9 (/ 1 (* x y)))))> |
#<alt (/ 1/81 (pow x 2))> |
#<alt (/ (+ 1/81 (* -1 (* (pow x 2) (pow y 2)))) (pow x 2))> |
#<alt (/ (+ 1/81 (* -1 (* (pow x 2) (pow y 2)))) (pow x 2))> |
#<alt (/ (+ 1/81 (* -1 (* (pow x 2) (pow y 2)))) (pow x 2))> |
#<alt (* -1 (pow y 2))> |
#<alt (- (* 1/81 (/ 1 (pow x 2))) (pow y 2))> |
#<alt (- (* 1/81 (/ 1 (pow x 2))) (pow y 2))> |
#<alt (- (* 1/81 (/ 1 (pow x 2))) (pow y 2))> |
#<alt (* -1 (pow y 2))> |
#<alt (- (* 1/81 (/ 1 (pow x 2))) (pow y 2))> |
#<alt (- (* 1/81 (/ 1 (pow x 2))) (pow y 2))> |
#<alt (- (* 1/81 (/ 1 (pow x 2))) (pow y 2))> |
#<alt (/ 1/81 (pow x 2))> |
#<alt (+ (* -1 (pow y 2)) (* 1/81 (/ 1 (pow x 2))))> |
#<alt (+ (* -1 (pow y 2)) (* 1/81 (/ 1 (pow x 2))))> |
#<alt (+ (* -1 (pow y 2)) (* 1/81 (/ 1 (pow x 2))))> |
#<alt (* -1 (pow y 2))> |
#<alt (* (pow y 2) (- (* 1/81 (/ 1 (* (pow x 2) (pow y 2)))) 1))> |
#<alt (* (pow y 2) (- (* 1/81 (/ 1 (* (pow x 2) (pow y 2)))) 1))> |
#<alt (* (pow y 2) (- (* 1/81 (/ 1 (* (pow x 2) (pow y 2)))) 1))> |
#<alt (* -1 (pow y 2))> |
#<alt (* (pow y 2) (- (* 1/81 (/ 1 (* (pow x 2) (pow y 2)))) 1))> |
#<alt (* (pow y 2) (- (* 1/81 (/ 1 (* (pow x 2) (pow y 2)))) 1))> |
#<alt (* (pow y 2) (- (* 1/81 (/ 1 (* (pow x 2) (pow y 2)))) 1))> |
#<alt (* 1/3 (sqrt (/ 1 x)))> |
#<alt (/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (/ (- (* 9 (pow y 2)) 9) (+ 3 (* 3 y))))) x)> |
#<alt (/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (/ (- (* 9 (pow y 2)) 9) (+ 3 (* 3 y))))) x)> |
#<alt (/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (/ (- (* 9 (pow y 2)) 9) (+ 3 (* 3 y))))) x)> |
#<alt (* (sqrt x) (/ (- (* 9 (pow y 2)) 9) (+ 3 (* 3 y))))> |
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (/ (- (* 9 (pow y 2)) 9) (+ 3 (* 3 y))))))> |
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (/ (- (* 9 (pow y 2)) 9) (+ 3 (* 3 y))))))> |
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (/ (- (* 9 (pow y 2)) 9) (+ 3 (* 3 y))))))> |
#<alt (* -1 (* (sqrt x) (/ (* (pow (sqrt -1) 2) (- (* 9 (pow y 2)) 9)) (+ 3 (* 3 y)))))> |
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (/ (* (pow (sqrt -1) 2) (- (* 9 (pow y 2)) 9)) (+ 3 (* 3 y)))))))> |
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (/ (* (pow (sqrt -1) 2) (- (* 9 (pow y 2)) 9)) (+ 3 (* 3 y)))))))> |
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (/ (* (pow (sqrt -1) 2) (- (* 9 (pow y 2)) 9)) (+ 3 (* 3 y)))))))> |
#<alt (* 1/9 (* (sqrt (/ 1 x)) (+ 3 (* -27 x))))> |
#<alt (+ (* 1/9 (* (sqrt (/ 1 x)) (+ 3 (* -27 x)))) (* 1/3 (* (sqrt (/ 1 x)) (* y (- 1 (* 1/3 (+ 3 (* -27 x))))))))> |
#<alt (+ (* 1/9 (* (sqrt (/ 1 x)) (+ 3 (* -27 x)))) (* y (+ (* 1/3 (* (sqrt (/ 1 x)) (* y (- (+ (* 1/3 (+ 3 (* -27 x))) (* 9 x)) 1)))) (* 1/3 (* (sqrt (/ 1 x)) (- 1 (* 1/3 (+ 3 (* -27 x)))))))))> |
#<alt (+ (* 1/9 (* (sqrt (/ 1 x)) (+ 3 (* -27 x)))) (* y (+ (* 1/3 (* (sqrt (/ 1 x)) (- 1 (* 1/3 (+ 3 (* -27 x)))))) (* y (+ (* 1/3 (* (sqrt (/ 1 x)) (* y (- 1 (+ (* 1/3 (+ 3 (* -27 x))) (* 9 x)))))) (* 1/3 (* (sqrt (/ 1 x)) (- (+ (* 1/3 (+ 3 (* -27 x))) (* 9 x)) 1))))))))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* y (+ (* 1/3 (* (sqrt (/ 1 x)) (/ (- 1 (* 9 x)) y))) (* 3 (sqrt x))))> |
#<alt (* y (+ (* 1/3 (* (sqrt (/ 1 x)) (/ (- 1 (* 9 x)) y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ (- (+ (* 1/3 (+ 3 (* -27 x))) (* 9 x)) 1) (pow y 2)))) (* 3 (sqrt x)))))> |
#<alt (* y (+ (* 1/3 (* (sqrt (/ 1 x)) (/ (- 1 (* 9 x)) y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ (- 1 (+ (* 1/3 (+ 3 (* -27 x))) (* 9 x))) (pow y 3)))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ (- (+ (* 1/3 (+ 3 (* -27 x))) (* 9 x)) 1) (pow y 2)))) (* 3 (sqrt x))))))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -1/3 (* (sqrt (/ 1 x)) (/ (- 1 (* 9 x)) y))))))> |
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -1/3 (* (sqrt (/ 1 x)) (/ (- (* -1/3 (+ 3 (* -27 x))) (* -1 (- 1 (* 9 x)))) y))) (* 1/3 (* (sqrt (/ 1 x)) (- 1 (* 9 x))))) y)))))> |
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (* (sqrt (/ 1 x)) (/ (- (* -1/3 (+ 3 (* -27 x))) (* -1 (- 1 (* 9 x)))) y))) (* 1/3 (* (sqrt (/ 1 x)) (- (* -1/3 (+ 3 (* -27 x))) (* -1 (- 1 (* 9 x))))))) y)) (* 1/3 (* (sqrt (/ 1 x)) (- 1 (* 9 x))))) y)))))> |
#<alt (* 1/9 (/ (+ 3 (* -27 x)) x))> |
#<alt (+ (* 1/9 (/ (+ 3 (* -27 x)) x)) (* 1/3 (* y (- (/ 1 x) (* 1/3 (/ (+ 3 (* -27 x)) x))))))> |
#<alt (+ (* 1/9 (/ (+ 3 (* -27 x)) x)) (* y (+ (* 1/3 (* y (- (+ 9 (* 1/3 (/ (+ 3 (* -27 x)) x))) (/ 1 x)))) (* 1/3 (- (/ 1 x) (* 1/3 (/ (+ 3 (* -27 x)) x)))))))> |
#<alt (+ (* 1/9 (/ (+ 3 (* -27 x)) x)) (* y (+ (* 1/3 (- (/ 1 x) (* 1/3 (/ (+ 3 (* -27 x)) x)))) (* y (+ (* 1/3 (* y (- (/ 1 x) (+ 9 (* 1/3 (/ (+ 3 (* -27 x)) x)))))) (* 1/3 (- (+ 9 (* 1/3 (/ (+ 3 (* -27 x)) x))) (/ 1 x))))))))> |
#<alt (* 3 y)> |
#<alt (* y (+ 3 (* 1/3 (/ (- (/ 1 x) 9) y))))> |
#<alt (* y (+ 3 (+ (* 1/3 (/ (- (+ 9 (* 1/3 (/ (+ 3 (* -27 x)) x))) (/ 1 x)) (pow y 2))) (* 1/3 (/ (- (/ 1 x) 9) y)))))> |
#<alt (* y (+ 3 (+ (* 1/3 (/ (- (+ 9 (* 1/3 (/ (+ 3 (* -27 x)) x))) (/ 1 x)) (pow y 2))) (+ (* 1/3 (/ (- (/ 1 x) 9) y)) (* 1/3 (/ (- (/ 1 x) (+ 9 (* 1/3 (/ (+ 3 (* -27 x)) x)))) (pow y 3)))))))> |
#<alt (* 3 y)> |
#<alt (* -1 (* y (- (* -1/3 (/ (- (/ 1 x) 9) y)) 3)))> |
#<alt (* -1 (* y (- (* -1 (/ (+ (* -1/3 (/ (- (* -1/3 (/ (+ 3 (* -27 x)) x)) (* -1 (- (/ 1 x) 9))) y)) (* 1/3 (- (/ 1 x) 9))) y)) 3)))> |
#<alt (* -1 (* y (- (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (/ (- (* -1/3 (/ (+ 3 (* -27 x)) x)) (* -1 (- (/ 1 x) 9))) y)) (* 1/3 (- (* -1/3 (/ (+ 3 (* -27 x)) x)) (* -1 (- (/ 1 x) 9))))) y)) (* 1/3 (- (/ 1 x) 9))) y)) 3)))> |
#<alt (/ 1/3 x)> |
#<alt (/ (+ 1/3 (* x (- (* 9 (/ (pow y 2) (+ 3 (* 3 y)))) (* 9 (/ 1 (+ 3 (* 3 y))))))) x)> |
#<alt (/ (+ 1/3 (* x (- (* 9 (/ (pow y 2) (+ 3 (* 3 y)))) (* 9 (/ 1 (+ 3 (* 3 y))))))) x)> |
#<alt (/ (+ 1/3 (* x (- (* 9 (/ (pow y 2) (+ 3 (* 3 y)))) (* 9 (/ 1 (+ 3 (* 3 y))))))) x)> |
#<alt (/ (- (* 9 (pow y 2)) 9) (+ 3 (* 3 y)))> |
#<alt (- (+ (* 9 (/ (pow y 2) (+ 3 (* 3 y)))) (* 1/3 (/ 1 x))) (* 9 (/ 1 (+ 3 (* 3 y)))))> |
#<alt (- (+ (* 9 (/ (pow y 2) (+ 3 (* 3 y)))) (* 1/3 (/ 1 x))) (* 9 (/ 1 (+ 3 (* 3 y)))))> |
#<alt (- (+ (* 9 (/ (pow y 2) (+ 3 (* 3 y)))) (* 1/3 (/ 1 x))) (* 9 (/ 1 (+ 3 (* 3 y)))))> |
#<alt (/ (- (* 9 (pow y 2)) 9) (+ 3 (* 3 y)))> |
#<alt (- (+ (* 9 (/ (pow y 2) (+ 3 (* 3 y)))) (* 1/3 (/ 1 x))) (* 9 (/ 1 (+ 3 (* 3 y)))))> |
#<alt (- (+ (* 9 (/ (pow y 2) (+ 3 (* 3 y)))) (* 1/3 (/ 1 x))) (* 9 (/ 1 (+ 3 (* 3 y)))))> |
#<alt (- (+ (* 9 (/ (pow y 2) (+ 3 (* 3 y)))) (* 1/3 (/ 1 x))) (* 9 (/ 1 (+ 3 (* 3 y)))))> |
#<alt (+ 3 (* -27 x))> |
#<alt (+ 3 (+ (* -27 x) (* 3 y)))> |
#<alt (+ 3 (+ (* -27 x) (* y (+ 3 (* 27 (* x y))))))> |
#<alt (+ 3 (+ (* -27 x) (* y (+ 3 (* 27 (* x y))))))> |
#<alt (* 27 (* x (pow y 2)))> |
#<alt (* (pow y 2) (+ (* 27 x) (* 3 (/ 1 y))))> |
#<alt (* (pow y 2) (+ (* -27 (/ x (pow y 2))) (+ (* 27 x) (+ (* 3 (/ 1 y)) (/ 3 (pow y 2))))))> |
#<alt (* (pow y 2) (+ (* -27 (/ x (pow y 2))) (+ (* 27 x) (+ (* 3 (/ 1 y)) (/ 3 (pow y 2))))))> |
#<alt (* 27 (* x (pow y 2)))> |
#<alt (* (pow y 2) (+ (* 27 x) (* 3 (/ 1 y))))> |
#<alt (* (pow y 2) (+ (* -1 (/ (- (* -1 (/ (+ 3 (* -27 x)) y)) 3) y)) (* 27 x)))> |
#<alt (* (pow y 2) (+ (* -1 (/ (- (* -1 (/ (+ 3 (* -27 x)) y)) 3) y)) (* 27 x)))> |
#<alt (+ 3 (* 3 y))> |
#<alt (+ 3 (+ (* 3 y) (* 3 (* x (- (* 9 (pow y 2)) 9)))))> |
#<alt (+ 3 (+ (* 3 y) (* 3 (* x (- (* 9 (pow y 2)) 9)))))> |
#<alt (+ 3 (+ (* 3 y) (* 3 (* x (- (* 9 (pow y 2)) 9)))))> |
#<alt (* 3 (* x (- (* 9 (pow y 2)) 9)))> |
#<alt (* x (+ (* 3 (- (* 9 (pow y 2)) 9)) (+ (* 3 (/ y x)) (* 3 (/ 1 x)))))> |
#<alt (* x (+ (* 3 (- (* 9 (pow y 2)) 9)) (+ (* 3 (/ y x)) (* 3 (/ 1 x)))))> |
#<alt (* x (+ (* 3 (- (* 9 (pow y 2)) 9)) (+ (* 3 (/ y x)) (* 3 (/ 1 x)))))> |
#<alt (* 3 (* x (- (* 9 (pow y 2)) 9)))> |
#<alt (* -1 (* x (+ (* -3 (- (* 9 (pow y 2)) 9)) (* -1 (/ (+ 3 (* 3 y)) x)))))> |
#<alt (* -1 (* x (+ (* -3 (- (* 9 (pow y 2)) 9)) (* -1 (/ (+ 3 (* 3 y)) x)))))> |
#<alt (* -1 (* x (+ (* -3 (- (* 9 (pow y 2)) 9)) (* -1 (/ (+ 3 (* 3 y)) x)))))> |
#<alt (* -27 x)> |
#<alt (+ (* -27 x) (* 27 (* x (pow y 2))))> |
#<alt (+ (* -27 x) (* 27 (* x (pow y 2))))> |
#<alt (+ (* -27 x) (* 27 (* x (pow y 2))))> |
#<alt (* 27 (* x (pow y 2)))> |
#<alt (* (pow y 2) (+ (* -27 (/ x (pow y 2))) (* 27 x)))> |
#<alt (* (pow y 2) (+ (* -27 (/ x (pow y 2))) (* 27 x)))> |
#<alt (* (pow y 2) (+ (* -27 (/ x (pow y 2))) (* 27 x)))> |
#<alt (* 27 (* x (pow y 2)))> |
#<alt (* (pow y 2) (+ (* -27 (/ x (pow y 2))) (* 27 x)))> |
#<alt (* (pow y 2) (+ (* -27 (/ x (pow y 2))) (* 27 x)))> |
#<alt (* (pow y 2) (+ (* -27 (/ x (pow y 2))) (* 27 x)))> |
#<alt (* 3 (* x (- (* 9 (pow y 2)) 9)))> |
#<alt (* 3 (* x (- (* 9 (pow y 2)) 9)))> |
#<alt (* 3 (* x (- (* 9 (pow y 2)) 9)))> |
#<alt (* 3 (* x (- (* 9 (pow y 2)) 9)))> |
#<alt (* 3 (* x (- (* 9 (pow y 2)) 9)))> |
#<alt (* 3 (* x (- (* 9 (pow y 2)) 9)))> |
#<alt (* 3 (* x (- (* 9 (pow y 2)) 9)))> |
#<alt (* 3 (* x (- (* 9 (pow y 2)) 9)))> |
#<alt (* 3 (* x (- (* 9 (pow y 2)) 9)))> |
#<alt (* 3 (* x (- (* 9 (pow y 2)) 9)))> |
#<alt (* 3 (* x (- (* 9 (pow y 2)) 9)))> |
#<alt (* 3 (* x (- (* 9 (pow y 2)) 9)))> |
#<alt (* 9 x)> |
#<alt (+ (* 9 x) (* 9 (* x y)))> |
#<alt (+ (* 9 x) (* 9 (* x y)))> |
#<alt (+ (* 9 x) (* 9 (* x y)))> |
#<alt (* 9 (* x y))> |
#<alt (* y (+ (* 9 x) (* 9 (/ x y))))> |
#<alt (* y (+ (* 9 x) (* 9 (/ x y))))> |
#<alt (* y (+ (* 9 x) (* 9 (/ x y))))> |
#<alt (* 9 (* x y))> |
#<alt (* -1 (* y (+ (* -9 x) (* -9 (/ x y)))))> |
#<alt (* -1 (* y (+ (* -9 x) (* -9 (/ x y)))))> |
#<alt (* -1 (* y (+ (* -9 x) (* -9 (/ x y)))))> |
#<alt (* 3 (* x (+ 3 (* 3 y))))> |
#<alt (* 3 (* x (+ 3 (* 3 y))))> |
#<alt (* 3 (* x (+ 3 (* 3 y))))> |
#<alt (* 3 (* x (+ 3 (* 3 y))))> |
#<alt (* 3 (* x (+ 3 (* 3 y))))> |
#<alt (* 3 (* x (+ 3 (* 3 y))))> |
#<alt (* 3 (* x (+ 3 (* 3 y))))> |
#<alt (* 3 (* x (+ 3 (* 3 y))))> |
#<alt (* 3 (* x (+ 3 (* 3 y))))> |
#<alt (* 3 (* x (+ 3 (* 3 y))))> |
#<alt (* 3 (* x (+ 3 (* 3 y))))> |
#<alt (* 3 (* x (+ 3 (* 3 y))))> |
93 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 9.0ms | y | @ | -inf | (* (* 3 (sqrt x)) (- (* (- (/ (/ (/ 1 x) x) 81) (* y y)) (/ 1 (- (/ 1/9 x) y))) 1)) |
| 6.0ms | y | @ | 0 | (/ (+ (* (+ (* 9 (* y y)) -9) (/ x 1/3)) (* (+ (* 3 y) 3) 1)) (* (+ (* 3 y) 3) (/ x 1/3))) |
| 5.0ms | x | @ | inf | (* (* 3 (sqrt x)) (- (* (- (/ (/ (/ 1 x) x) 81) (* y y)) (/ 1 (- (/ 1/9 x) y))) 1)) |
| 3.0ms | y | @ | inf | (* (* 3 (sqrt x)) (- (* (- (/ (/ (/ 1 x) x) 81) (* y y)) (/ 1 (- (/ 1/9 x) y))) 1)) |
| 2.0ms | x | @ | 0 | (/ (+ (* (+ (* 9 (* y y)) -9) (/ x 1/3)) (* (+ (* 3 y) 3) 1)) (* (+ (* 3 y) 3) (/ x 1/3))) |
| 1× | batch-egg-rewrite |
| 6166× | *-lowering-*.f32 |
| 6166× | *-lowering-*.f64 |
| 3604× | /-lowering-/.f32 |
| 3604× | /-lowering-/.f64 |
| 3220× | +-lowering-+.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 166 |
| 1 | 264 | 130 |
| 2 | 2549 | 128 |
| 0 | 11550 | 128 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (sqrt x) (+ (* 3 y) (+ -3 (* (/ 1 x) 1/3)))) |
(+ (* 3 y) (+ -3 (* (/ 1 x) 1/3))) |
(+ -3 (* (/ 1 x) 1/3)) |
(* (/ 1 x) 1/3) |
(* 1/3 (sqrt (/ 1 x))) |
(sqrt (/ 1 x)) |
(/ 1 x) |
(* (* 3 (sqrt x)) (/ 1/9 x)) |
(* 3 (sqrt x)) |
(sqrt x) |
(/ 1/9 x) |
(* (* 3 (sqrt x)) (- (* (- (/ (/ (/ 1 x) x) 81) (* y y)) (/ 1 (- (/ 1/9 x) y))) 1)) |
(- (* (- (/ (/ (/ 1 x) x) 81) (* y y)) (/ 1 (- (/ 1/9 x) y))) 1) |
(* (- (/ (/ (/ 1 x) x) 81) (* y y)) (/ 1 (- (/ 1/9 x) y))) |
(- (/ (/ (/ 1 x) x) 81) (* y y)) |
(* (sqrt x) (/ (+ (* (+ (* 9 (* y y)) -9) (/ x 1/3)) (* (+ (* 3 y) 3) 1)) (* (+ (* 3 y) 3) (/ x 1/3)))) |
(/ (+ (* (+ (* 9 (* y y)) -9) (/ x 1/3)) (* (+ (* 3 y) 3) 1)) (* (+ (* 3 y) 3) (/ x 1/3))) |
(+ (* (+ (* 9 (* y y)) -9) (/ x 1/3)) (* (+ (* 3 y) 3) 1)) |
(* (+ (* 9 (* y y)) -9) (/ x 1/3)) |
(* (+ (* 3 y) 3) (/ x 1/3)) |
| Outputs |
|---|
(+.f64 (*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) |
(+.f64 (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
(+.f64 (*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64))) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) x))) |
(+.f64 (*.f64 (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64)) (sqrt.f64 x)) (*.f64 (/.f64 #s(literal 1/3 binary64) x) (sqrt.f64 x))) |
(fma.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) |
(fma.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
(fma.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64)) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) x))) |
(fma.f64 #s(literal 3 binary64) (*.f64 y (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) |
(fma.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) |
(fma.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) |
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(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) y))) #s(literal -1/3 binary64)) |
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 27 binary64) (*.f64 y (*.f64 y y))) #s(literal 27 binary64)) (/.f64 x #s(literal 1/3 binary64))) (+.f64 (*.f64 y (*.f64 y #s(literal 9 binary64))) (-.f64 #s(literal 9 binary64) (*.f64 y #s(literal 9 binary64))))) |
(pow.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) y)))) #s(literal -1 binary64)) |
(*.f64 x (*.f64 #s(literal 3 binary64) (+.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) y)))) |
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) y)) (/.f64 #s(literal 1/3 binary64) x))) |
(*.f64 (/.f64 x #s(literal 1/3 binary64)) (+.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) y))) |
(*.f64 (+.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) y)) (/.f64 x #s(literal 1/3 binary64))) |
(*.f64 (/.f64 (+.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) y)) (/.f64 #s(literal 1/3 binary64) x)) #s(literal 1 binary64)) |
(*.f64 (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) y))) #s(literal 3 binary64)) |
(*.f64 (*.f64 (/.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) y))) |
| 1× | egg-herbie |
| 3910× | *-lowering-*.f32 |
| 3910× | *-lowering-*.f64 |
| 1932× | +-lowering-+.f64 |
| 1932× | +-lowering-+.f32 |
| 1526× | sum4-define |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 422 | 4004 |
| 1 | 1470 | 3397 |
| 2 | 5749 | 3359 |
| 0 | 8108 | 3359 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/3 (sqrt (/ 1 x))) |
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x) |
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x) |
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x) |
(* (sqrt x) (- (* 3 y) 3)) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3)))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3)))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3)))) |
(* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))))) |
(* (sqrt x) (- (* 1/3 (/ 1 x)) 3)) |
(+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3))) |
(+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3))) |
(+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3))) |
(* 3 (* (sqrt x) y)) |
(* y (+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y)))) |
(* y (+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y)))) |
(* y (+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y)))) |
(* 3 (* (sqrt x) y)) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y)))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y)))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y)))))) |
(- (* 1/3 (/ 1 x)) 3) |
(- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3) |
(- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3) |
(- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3) |
(* 3 y) |
(* y (- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y)))) |
(* y (- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y)))) |
(* y (- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y)))) |
(* 3 y) |
(* -1 (* y (- (* -1 (/ (- (* 1/3 (/ 1 x)) 3) y)) 3))) |
(* -1 (* y (- (* -1 (/ (- (* 1/3 (/ 1 x)) 3) y)) 3))) |
(* -1 (* y (- (* -1 (/ (- (* 1/3 (/ 1 x)) 3) y)) 3))) |
(/ 1/3 x) |
(/ (+ 1/3 (* x (- (* 3 y) 3))) x) |
(/ (+ 1/3 (* x (- (* 3 y) 3))) x) |
(/ (+ 1/3 (* x (- (* 3 y) 3))) x) |
(- (* 3 y) 3) |
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3) |
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3) |
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3) |
(- (* 3 y) 3) |
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3) |
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3) |
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3) |
(/ 1/3 x) |
(/ (+ 1/3 (* -3 x)) x) |
(/ (+ 1/3 (* -3 x)) x) |
(/ (+ 1/3 (* -3 x)) x) |
-3 |
(- (* 1/3 (/ 1 x)) 3) |
(- (* 1/3 (/ 1 x)) 3) |
(- (* 1/3 (/ 1 x)) 3) |
-3 |
(- (* 1/3 (/ 1 x)) 3) |
(- (* 1/3 (/ 1 x)) 3) |
(- (* 1/3 (/ 1 x)) 3) |
(/ 1/3 x) |
(/ 1/3 x) |
(/ 1/3 x) |
(/ 1/3 x) |
(/ 1/3 x) |
(/ 1/3 x) |
(/ 1/3 x) |
(/ 1/3 x) |
(/ 1/3 x) |
(/ 1/3 x) |
(/ 1/3 x) |
(/ 1/3 x) |
(* 1/3 (sqrt (/ 1 x))) |
(* 1/3 (sqrt (/ 1 x))) |
(* 1/3 (sqrt (/ 1 x))) |
(* 1/3 (sqrt (/ 1 x))) |
(* 1/3 (sqrt (/ 1 x))) |
(* 1/3 (sqrt (/ 1 x))) |
(* 1/3 (sqrt (/ 1 x))) |
(* 1/3 (sqrt (/ 1 x))) |
(* 1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(* 1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(* 1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(* 1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(* 1/3 (sqrt (/ 1 x))) |
(* 1/3 (sqrt (/ 1 x))) |
(* 1/3 (sqrt (/ 1 x))) |
(* 1/3 (sqrt (/ 1 x))) |
(* 1/3 (sqrt (/ 1 x))) |
(* 1/3 (sqrt (/ 1 x))) |
(* 1/3 (sqrt (/ 1 x))) |
(* 1/3 (sqrt (/ 1 x))) |
(* -1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(* -1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(* -1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(* -1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(* 1/3 (sqrt (/ 1 x))) |
(/ (+ (* -3 (* (sqrt (pow x 3)) (+ 1 (* -1 y)))) (* 1/3 (sqrt x))) x) |
(/ (+ (* 1/3 (sqrt x)) (* x (+ (* -3 (* (sqrt x) (+ 1 (* -1 y)))) (* -3 (* (sqrt (pow x 3)) (+ (* -9 (pow y 2)) (* 9 (pow y 2)))))))) x) |
(/ (+ (* 1/3 (sqrt x)) (* x (+ (* -3 (* (sqrt x) (+ 1 (* -1 y)))) (* -3 (* (sqrt (pow x 3)) (+ (* -9 (pow y 2)) (* 9 (pow y 2)))))))) x) |
(* -3 (* (sqrt x) (+ 1 (* -1 y)))) |
(* x (+ (* -3 (* (sqrt (/ 1 x)) (+ 1 (* -1 y)))) (* 1/3 (sqrt (/ 1 (pow x 3)))))) |
(* x (+ (* -3 (* (sqrt (/ 1 x)) (+ 1 (* -1 y)))) (* 1/3 (sqrt (/ 1 (pow x 3)))))) |
(* x (+ (* -3 (* (sqrt (/ 1 x)) (+ 1 (* -1 y)))) (* 1/3 (sqrt (/ 1 (pow x 3)))))) |
(* 3 (* (sqrt x) (* (pow (sqrt -1) 2) (+ 1 (* -1 y))))) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (+ 1 (* -1 y))))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (+ 1 (* -1 y))))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (+ 1 (* -1 y))))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))) |
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(+ (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) (* y (+ (* -3 (* (sqrt x) (* y (+ (* -9 x) (* 9 x))))) (* 3 (sqrt x))))) |
(+ (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) (* y (+ (* -3 (* (sqrt x) (* y (+ (* -9 x) (* 9 x))))) (* 3 (sqrt x))))) |
(* 3 (* (sqrt x) y)) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(* 3 (* (sqrt x) y)) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(/ 1/9 x) |
(/ (+ 1/9 (* -1 (* x (+ 1 (* -1 y))))) x) |
(/ (+ 1/9 (* x (- (* -1 (* x (+ (* -9 (pow y 2)) (* 9 (pow y 2))))) (+ 1 (* -1 y))))) x) |
(/ (+ 1/9 (* x (- (* -1 (* x (+ (* -9 (pow y 2)) (* 9 (pow y 2))))) (+ 1 (* -1 y))))) x) |
(* -1 (+ 1 (* -1 y))) |
(- (* 1/9 (/ 1 x)) (+ 1 (* -1 y))) |
(- (* 1/9 (/ 1 x)) (+ 1 (* -1 y))) |
(- (* 1/9 (/ 1 x)) (+ 1 (* -1 y))) |
(* -1 (+ 1 (* -1 y))) |
(- (* 1/9 (/ 1 x)) (+ 1 (* -1 y))) |
(- (* 1/9 (/ 1 x)) (+ 1 (* -1 y))) |
(- (* 1/9 (/ 1 x)) (+ 1 (* -1 y))) |
(- (* 1/9 (/ 1 x)) 1) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
(- (+ (* 1/9 (/ 1 x)) (* y (+ 1 (* -1 (* y (+ (* -9 x) (* 9 x))))))) 1) |
(- (+ (* 1/9 (/ 1 x)) (* y (+ 1 (* -1 (* y (+ (* -9 x) (* 9 x))))))) 1) |
y |
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y))) |
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y))) |
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y))) |
y |
(* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1))) |
(* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1))) |
(* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1))) |
(/ 1/9 x) |
(/ (+ 1/9 (* x y)) x) |
(/ (+ 1/9 (* x y)) x) |
(/ (+ 1/9 (* x y)) x) |
y |
(+ y (* 1/9 (/ 1 x))) |
(+ y (* 1/9 (/ 1 x))) |
(+ y (* 1/9 (/ 1 x))) |
y |
(+ y (* 1/9 (/ 1 x))) |
(+ y (* 1/9 (/ 1 x))) |
(+ y (* 1/9 (/ 1 x))) |
(/ 1/9 x) |
(+ y (* 1/9 (/ 1 x))) |
(+ y (* 1/9 (/ 1 x))) |
(+ y (* 1/9 (/ 1 x))) |
y |
(* y (+ 1 (* 1/9 (/ 1 (* x y))))) |
(* y (+ 1 (* 1/9 (/ 1 (* x y))))) |
(* y (+ 1 (* 1/9 (/ 1 (* x y))))) |
y |
(* y (+ 1 (* 1/9 (/ 1 (* x y))))) |
(* y (+ 1 (* 1/9 (/ 1 (* x y))))) |
(* y (+ 1 (* 1/9 (/ 1 (* x y))))) |
(/ 1/81 (pow x 2)) |
(/ (+ 1/81 (* -1 (* (pow x 2) (pow y 2)))) (pow x 2)) |
(/ (+ 1/81 (* -1 (* (pow x 2) (pow y 2)))) (pow x 2)) |
(/ (+ 1/81 (* -1 (* (pow x 2) (pow y 2)))) (pow x 2)) |
(* -1 (pow y 2)) |
(- (* 1/81 (/ 1 (pow x 2))) (pow y 2)) |
(- (* 1/81 (/ 1 (pow x 2))) (pow y 2)) |
(- (* 1/81 (/ 1 (pow x 2))) (pow y 2)) |
(* -1 (pow y 2)) |
(- (* 1/81 (/ 1 (pow x 2))) (pow y 2)) |
(- (* 1/81 (/ 1 (pow x 2))) (pow y 2)) |
(- (* 1/81 (/ 1 (pow x 2))) (pow y 2)) |
(/ 1/81 (pow x 2)) |
(+ (* -1 (pow y 2)) (* 1/81 (/ 1 (pow x 2)))) |
(+ (* -1 (pow y 2)) (* 1/81 (/ 1 (pow x 2)))) |
(+ (* -1 (pow y 2)) (* 1/81 (/ 1 (pow x 2)))) |
(* -1 (pow y 2)) |
(* (pow y 2) (- (* 1/81 (/ 1 (* (pow x 2) (pow y 2)))) 1)) |
(* (pow y 2) (- (* 1/81 (/ 1 (* (pow x 2) (pow y 2)))) 1)) |
(* (pow y 2) (- (* 1/81 (/ 1 (* (pow x 2) (pow y 2)))) 1)) |
(* -1 (pow y 2)) |
(* (pow y 2) (- (* 1/81 (/ 1 (* (pow x 2) (pow y 2)))) 1)) |
(* (pow y 2) (- (* 1/81 (/ 1 (* (pow x 2) (pow y 2)))) 1)) |
(* (pow y 2) (- (* 1/81 (/ 1 (* (pow x 2) (pow y 2)))) 1)) |
(* 1/3 (sqrt (/ 1 x))) |
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (/ (- (* 9 (pow y 2)) 9) (+ 3 (* 3 y))))) x) |
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (/ (- (* 9 (pow y 2)) 9) (+ 3 (* 3 y))))) x) |
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (/ (- (* 9 (pow y 2)) 9) (+ 3 (* 3 y))))) x) |
(* (sqrt x) (/ (- (* 9 (pow y 2)) 9) (+ 3 (* 3 y)))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (/ (- (* 9 (pow y 2)) 9) (+ 3 (* 3 y)))))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (/ (- (* 9 (pow y 2)) 9) (+ 3 (* 3 y)))))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (/ (- (* 9 (pow y 2)) 9) (+ 3 (* 3 y)))))) |
(* -1 (* (sqrt x) (/ (* (pow (sqrt -1) 2) (- (* 9 (pow y 2)) 9)) (+ 3 (* 3 y))))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (/ (* (pow (sqrt -1) 2) (- (* 9 (pow y 2)) 9)) (+ 3 (* 3 y))))))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (/ (* (pow (sqrt -1) 2) (- (* 9 (pow y 2)) 9)) (+ 3 (* 3 y))))))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (/ (* (pow (sqrt -1) 2) (- (* 9 (pow y 2)) 9)) (+ 3 (* 3 y))))))) |
(* 1/9 (* (sqrt (/ 1 x)) (+ 3 (* -27 x)))) |
(+ (* 1/9 (* (sqrt (/ 1 x)) (+ 3 (* -27 x)))) (* 1/3 (* (sqrt (/ 1 x)) (* y (- 1 (* 1/3 (+ 3 (* -27 x)))))))) |
(+ (* 1/9 (* (sqrt (/ 1 x)) (+ 3 (* -27 x)))) (* y (+ (* 1/3 (* (sqrt (/ 1 x)) (* y (- (+ (* 1/3 (+ 3 (* -27 x))) (* 9 x)) 1)))) (* 1/3 (* (sqrt (/ 1 x)) (- 1 (* 1/3 (+ 3 (* -27 x))))))))) |
(+ (* 1/9 (* (sqrt (/ 1 x)) (+ 3 (* -27 x)))) (* y (+ (* 1/3 (* (sqrt (/ 1 x)) (- 1 (* 1/3 (+ 3 (* -27 x)))))) (* y (+ (* 1/3 (* (sqrt (/ 1 x)) (* y (- 1 (+ (* 1/3 (+ 3 (* -27 x))) (* 9 x)))))) (* 1/3 (* (sqrt (/ 1 x)) (- (+ (* 1/3 (+ 3 (* -27 x))) (* 9 x)) 1)))))))) |
(* 3 (* (sqrt x) y)) |
(* y (+ (* 1/3 (* (sqrt (/ 1 x)) (/ (- 1 (* 9 x)) y))) (* 3 (sqrt x)))) |
(* y (+ (* 1/3 (* (sqrt (/ 1 x)) (/ (- 1 (* 9 x)) y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ (- (+ (* 1/3 (+ 3 (* -27 x))) (* 9 x)) 1) (pow y 2)))) (* 3 (sqrt x))))) |
(* y (+ (* 1/3 (* (sqrt (/ 1 x)) (/ (- 1 (* 9 x)) y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ (- 1 (+ (* 1/3 (+ 3 (* -27 x))) (* 9 x))) (pow y 3)))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ (- (+ (* 1/3 (+ 3 (* -27 x))) (* 9 x)) 1) (pow y 2)))) (* 3 (sqrt x)))))) |
(* 3 (* (sqrt x) y)) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1/3 (* (sqrt (/ 1 x)) (/ (- 1 (* 9 x)) y)))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -1/3 (* (sqrt (/ 1 x)) (/ (- (* -1/3 (+ 3 (* -27 x))) (* -1 (- 1 (* 9 x)))) y))) (* 1/3 (* (sqrt (/ 1 x)) (- 1 (* 9 x))))) y))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (* (sqrt (/ 1 x)) (/ (- (* -1/3 (+ 3 (* -27 x))) (* -1 (- 1 (* 9 x)))) y))) (* 1/3 (* (sqrt (/ 1 x)) (- (* -1/3 (+ 3 (* -27 x))) (* -1 (- 1 (* 9 x))))))) y)) (* 1/3 (* (sqrt (/ 1 x)) (- 1 (* 9 x))))) y))))) |
(* 1/9 (/ (+ 3 (* -27 x)) x)) |
(+ (* 1/9 (/ (+ 3 (* -27 x)) x)) (* 1/3 (* y (- (/ 1 x) (* 1/3 (/ (+ 3 (* -27 x)) x)))))) |
(+ (* 1/9 (/ (+ 3 (* -27 x)) x)) (* y (+ (* 1/3 (* y (- (+ 9 (* 1/3 (/ (+ 3 (* -27 x)) x))) (/ 1 x)))) (* 1/3 (- (/ 1 x) (* 1/3 (/ (+ 3 (* -27 x)) x))))))) |
(+ (* 1/9 (/ (+ 3 (* -27 x)) x)) (* y (+ (* 1/3 (- (/ 1 x) (* 1/3 (/ (+ 3 (* -27 x)) x)))) (* y (+ (* 1/3 (* y (- (/ 1 x) (+ 9 (* 1/3 (/ (+ 3 (* -27 x)) x)))))) (* 1/3 (- (+ 9 (* 1/3 (/ (+ 3 (* -27 x)) x))) (/ 1 x)))))))) |
(* 3 y) |
(* y (+ 3 (* 1/3 (/ (- (/ 1 x) 9) y)))) |
(* y (+ 3 (+ (* 1/3 (/ (- (+ 9 (* 1/3 (/ (+ 3 (* -27 x)) x))) (/ 1 x)) (pow y 2))) (* 1/3 (/ (- (/ 1 x) 9) y))))) |
(* y (+ 3 (+ (* 1/3 (/ (- (+ 9 (* 1/3 (/ (+ 3 (* -27 x)) x))) (/ 1 x)) (pow y 2))) (+ (* 1/3 (/ (- (/ 1 x) 9) y)) (* 1/3 (/ (- (/ 1 x) (+ 9 (* 1/3 (/ (+ 3 (* -27 x)) x)))) (pow y 3))))))) |
(* 3 y) |
(* -1 (* y (- (* -1/3 (/ (- (/ 1 x) 9) y)) 3))) |
(* -1 (* y (- (* -1 (/ (+ (* -1/3 (/ (- (* -1/3 (/ (+ 3 (* -27 x)) x)) (* -1 (- (/ 1 x) 9))) y)) (* 1/3 (- (/ 1 x) 9))) y)) 3))) |
(* -1 (* y (- (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (/ (- (* -1/3 (/ (+ 3 (* -27 x)) x)) (* -1 (- (/ 1 x) 9))) y)) (* 1/3 (- (* -1/3 (/ (+ 3 (* -27 x)) x)) (* -1 (- (/ 1 x) 9))))) y)) (* 1/3 (- (/ 1 x) 9))) y)) 3))) |
(/ 1/3 x) |
(/ (+ 1/3 (* x (- (* 9 (/ (pow y 2) (+ 3 (* 3 y)))) (* 9 (/ 1 (+ 3 (* 3 y))))))) x) |
(/ (+ 1/3 (* x (- (* 9 (/ (pow y 2) (+ 3 (* 3 y)))) (* 9 (/ 1 (+ 3 (* 3 y))))))) x) |
(/ (+ 1/3 (* x (- (* 9 (/ (pow y 2) (+ 3 (* 3 y)))) (* 9 (/ 1 (+ 3 (* 3 y))))))) x) |
(/ (- (* 9 (pow y 2)) 9) (+ 3 (* 3 y))) |
(- (+ (* 9 (/ (pow y 2) (+ 3 (* 3 y)))) (* 1/3 (/ 1 x))) (* 9 (/ 1 (+ 3 (* 3 y))))) |
(- (+ (* 9 (/ (pow y 2) (+ 3 (* 3 y)))) (* 1/3 (/ 1 x))) (* 9 (/ 1 (+ 3 (* 3 y))))) |
(- (+ (* 9 (/ (pow y 2) (+ 3 (* 3 y)))) (* 1/3 (/ 1 x))) (* 9 (/ 1 (+ 3 (* 3 y))))) |
(/ (- (* 9 (pow y 2)) 9) (+ 3 (* 3 y))) |
(- (+ (* 9 (/ (pow y 2) (+ 3 (* 3 y)))) (* 1/3 (/ 1 x))) (* 9 (/ 1 (+ 3 (* 3 y))))) |
(- (+ (* 9 (/ (pow y 2) (+ 3 (* 3 y)))) (* 1/3 (/ 1 x))) (* 9 (/ 1 (+ 3 (* 3 y))))) |
(- (+ (* 9 (/ (pow y 2) (+ 3 (* 3 y)))) (* 1/3 (/ 1 x))) (* 9 (/ 1 (+ 3 (* 3 y))))) |
(+ 3 (* -27 x)) |
(+ 3 (+ (* -27 x) (* 3 y))) |
(+ 3 (+ (* -27 x) (* y (+ 3 (* 27 (* x y)))))) |
(+ 3 (+ (* -27 x) (* y (+ 3 (* 27 (* x y)))))) |
(* 27 (* x (pow y 2))) |
(* (pow y 2) (+ (* 27 x) (* 3 (/ 1 y)))) |
(* (pow y 2) (+ (* -27 (/ x (pow y 2))) (+ (* 27 x) (+ (* 3 (/ 1 y)) (/ 3 (pow y 2)))))) |
(* (pow y 2) (+ (* -27 (/ x (pow y 2))) (+ (* 27 x) (+ (* 3 (/ 1 y)) (/ 3 (pow y 2)))))) |
(* 27 (* x (pow y 2))) |
(* (pow y 2) (+ (* 27 x) (* 3 (/ 1 y)))) |
(* (pow y 2) (+ (* -1 (/ (- (* -1 (/ (+ 3 (* -27 x)) y)) 3) y)) (* 27 x))) |
(* (pow y 2) (+ (* -1 (/ (- (* -1 (/ (+ 3 (* -27 x)) y)) 3) y)) (* 27 x))) |
(+ 3 (* 3 y)) |
(+ 3 (+ (* 3 y) (* 3 (* x (- (* 9 (pow y 2)) 9))))) |
(+ 3 (+ (* 3 y) (* 3 (* x (- (* 9 (pow y 2)) 9))))) |
(+ 3 (+ (* 3 y) (* 3 (* x (- (* 9 (pow y 2)) 9))))) |
(* 3 (* x (- (* 9 (pow y 2)) 9))) |
(* x (+ (* 3 (- (* 9 (pow y 2)) 9)) (+ (* 3 (/ y x)) (* 3 (/ 1 x))))) |
(* x (+ (* 3 (- (* 9 (pow y 2)) 9)) (+ (* 3 (/ y x)) (* 3 (/ 1 x))))) |
(* x (+ (* 3 (- (* 9 (pow y 2)) 9)) (+ (* 3 (/ y x)) (* 3 (/ 1 x))))) |
(* 3 (* x (- (* 9 (pow y 2)) 9))) |
(* -1 (* x (+ (* -3 (- (* 9 (pow y 2)) 9)) (* -1 (/ (+ 3 (* 3 y)) x))))) |
(* -1 (* x (+ (* -3 (- (* 9 (pow y 2)) 9)) (* -1 (/ (+ 3 (* 3 y)) x))))) |
(* -1 (* x (+ (* -3 (- (* 9 (pow y 2)) 9)) (* -1 (/ (+ 3 (* 3 y)) x))))) |
(* -27 x) |
(+ (* -27 x) (* 27 (* x (pow y 2)))) |
(+ (* -27 x) (* 27 (* x (pow y 2)))) |
(+ (* -27 x) (* 27 (* x (pow y 2)))) |
(* 27 (* x (pow y 2))) |
(* (pow y 2) (+ (* -27 (/ x (pow y 2))) (* 27 x))) |
(* (pow y 2) (+ (* -27 (/ x (pow y 2))) (* 27 x))) |
(* (pow y 2) (+ (* -27 (/ x (pow y 2))) (* 27 x))) |
(* 27 (* x (pow y 2))) |
(* (pow y 2) (+ (* -27 (/ x (pow y 2))) (* 27 x))) |
(* (pow y 2) (+ (* -27 (/ x (pow y 2))) (* 27 x))) |
(* (pow y 2) (+ (* -27 (/ x (pow y 2))) (* 27 x))) |
(* 3 (* x (- (* 9 (pow y 2)) 9))) |
(* 3 (* x (- (* 9 (pow y 2)) 9))) |
(* 3 (* x (- (* 9 (pow y 2)) 9))) |
(* 3 (* x (- (* 9 (pow y 2)) 9))) |
(* 3 (* x (- (* 9 (pow y 2)) 9))) |
(* 3 (* x (- (* 9 (pow y 2)) 9))) |
(* 3 (* x (- (* 9 (pow y 2)) 9))) |
(* 3 (* x (- (* 9 (pow y 2)) 9))) |
(* 3 (* x (- (* 9 (pow y 2)) 9))) |
(* 3 (* x (- (* 9 (pow y 2)) 9))) |
(* 3 (* x (- (* 9 (pow y 2)) 9))) |
(* 3 (* x (- (* 9 (pow y 2)) 9))) |
(* 9 x) |
(+ (* 9 x) (* 9 (* x y))) |
(+ (* 9 x) (* 9 (* x y))) |
(+ (* 9 x) (* 9 (* x y))) |
(* 9 (* x y)) |
(* y (+ (* 9 x) (* 9 (/ x y)))) |
(* y (+ (* 9 x) (* 9 (/ x y)))) |
(* y (+ (* 9 x) (* 9 (/ x y)))) |
(* 9 (* x y)) |
(* -1 (* y (+ (* -9 x) (* -9 (/ x y))))) |
(* -1 (* y (+ (* -9 x) (* -9 (/ x y))))) |
(* -1 (* y (+ (* -9 x) (* -9 (/ x y))))) |
(* 3 (* x (+ 3 (* 3 y)))) |
(* 3 (* x (+ 3 (* 3 y)))) |
(* 3 (* x (+ 3 (* 3 y)))) |
(* 3 (* x (+ 3 (* 3 y)))) |
(* 3 (* x (+ 3 (* 3 y)))) |
(* 3 (* x (+ 3 (* 3 y)))) |
(* 3 (* x (+ 3 (* 3 y)))) |
(* 3 (* x (+ 3 (* 3 y)))) |
(* 3 (* x (+ 3 (* 3 y)))) |
(* 3 (* x (+ 3 (* 3 y)))) |
(* 3 (* x (+ 3 (* 3 y)))) |
(* 3 (* x (+ 3 (* 3 y)))) |
| Outputs |
|---|
(* 1/3 (sqrt (/ 1 x))) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x) |
(/.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64)))) x) |
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x) |
(/.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64)))) x) |
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x) |
(/.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64)))) x) |
(* (sqrt x) (- (* 3 y) 3)) |
(*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3)))) |
(*.f64 x (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64))))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3)))) |
(*.f64 x (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64))))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3)))) |
(*.f64 x (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64))))) |
(* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))) |
(*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))))) |
(-.f64 #s(literal 0 binary64) (*.f64 x (+.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x)) #s(literal -1/3 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 #s(literal 3 binary64) y)) #s(literal 3 binary64)))))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))))) |
(-.f64 #s(literal 0 binary64) (*.f64 x (+.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x)) #s(literal -1/3 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 #s(literal 3 binary64) y)) #s(literal 3 binary64)))))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))))) |
(-.f64 #s(literal 0 binary64) (*.f64 x (+.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x)) #s(literal -1/3 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 #s(literal 3 binary64) y)) #s(literal 3 binary64)))))) |
(* (sqrt x) (- (* 1/3 (/ 1 x)) 3)) |
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))) |
(+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3))) |
(+.f64 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))) |
(+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3))) |
(+.f64 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))) |
(+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3))) |
(+.f64 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))) |
(* 3 (* (sqrt x) y)) |
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y)) |
(* y (+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y)))) |
(*.f64 y (*.f64 (sqrt.f64 x) (+.f64 #s(literal 3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) y)))) |
(* y (+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y)))) |
(*.f64 y (*.f64 (sqrt.f64 x) (+.f64 #s(literal 3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) y)))) |
(* y (+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y)))) |
(*.f64 y (*.f64 (sqrt.f64 x) (+.f64 #s(literal 3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) y)))) |
(* 3 (* (sqrt x) y)) |
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y)) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y)))))) |
(*.f64 (-.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (/.f64 (sqrt.f64 x) y))) (-.f64 #s(literal 0 binary64) y)) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y)))))) |
(*.f64 (-.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (/.f64 (sqrt.f64 x) y))) (-.f64 #s(literal 0 binary64) y)) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y)))))) |
(*.f64 (-.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (/.f64 (sqrt.f64 x) y))) (-.f64 #s(literal 0 binary64) y)) |
(- (* 1/3 (/ 1 x)) 3) |
(+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) |
(- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3) |
(+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))) |
(- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3) |
(+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))) |
(- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3) |
(+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))) |
(* 3 y) |
(*.f64 #s(literal 3 binary64) y) |
(* y (- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y)))) |
(*.f64 y (+.f64 #s(literal 3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) y))) |
(* y (- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y)))) |
(*.f64 y (+.f64 #s(literal 3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) y))) |
(* y (- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y)))) |
(*.f64 y (+.f64 #s(literal 3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) y))) |
(* 3 y) |
(*.f64 #s(literal 3 binary64) y) |
(* -1 (* y (- (* -1 (/ (- (* 1/3 (/ 1 x)) 3) y)) 3))) |
(*.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (-.f64 #s(literal 0 binary64) y))) (-.f64 #s(literal 0 binary64) y)) |
(* -1 (* y (- (* -1 (/ (- (* 1/3 (/ 1 x)) 3) y)) 3))) |
(*.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (-.f64 #s(literal 0 binary64) y))) (-.f64 #s(literal 0 binary64) y)) |
(* -1 (* y (- (* -1 (/ (- (* 1/3 (/ 1 x)) 3) y)) 3))) |
(*.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (-.f64 #s(literal 0 binary64) y))) (-.f64 #s(literal 0 binary64) y)) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ (+ 1/3 (* x (- (* 3 y) 3))) x) |
(/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64)))) x) |
(/ (+ 1/3 (* x (- (* 3 y) 3))) x) |
(/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64)))) x) |
(/ (+ 1/3 (* x (- (* 3 y) 3))) x) |
(/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64)))) x) |
(- (* 3 y) 3) |
(+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64)) |
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3) |
(+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))) |
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3) |
(+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))) |
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3) |
(+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))) |
(- (* 3 y) 3) |
(+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64)) |
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3) |
(+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))) |
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3) |
(+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))) |
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3) |
(+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ (+ 1/3 (* -3 x)) x) |
(/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -3 binary64))) x) |
(/ (+ 1/3 (* -3 x)) x) |
(/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -3 binary64))) x) |
(/ (+ 1/3 (* -3 x)) x) |
(/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -3 binary64))) x) |
-3 |
#s(literal -3 binary64) |
(- (* 1/3 (/ 1 x)) 3) |
(+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) |
(- (* 1/3 (/ 1 x)) 3) |
(+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) |
(- (* 1/3 (/ 1 x)) 3) |
(+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) |
-3 |
#s(literal -3 binary64) |
(- (* 1/3 (/ 1 x)) 3) |
(+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) |
(- (* 1/3 (/ 1 x)) 3) |
(+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) |
(- (* 1/3 (/ 1 x)) 3) |
(+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(* 1/3 (sqrt (/ 1 x))) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* 1/3 (sqrt (/ 1 x))) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* 1/3 (sqrt (/ 1 x))) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* 1/3 (sqrt (/ 1 x))) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* 1/3 (sqrt (/ 1 x))) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* 1/3 (sqrt (/ 1 x))) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* 1/3 (sqrt (/ 1 x))) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* 1/3 (sqrt (/ 1 x))) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* 1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/3 binary64)) |
(* 1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/3 binary64)) |
(* 1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/3 binary64)) |
(* 1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/3 binary64)) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(* 1/3 (sqrt (/ 1 x))) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* 1/3 (sqrt (/ 1 x))) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* 1/3 (sqrt (/ 1 x))) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* 1/3 (sqrt (/ 1 x))) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* 1/3 (sqrt (/ 1 x))) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* 1/3 (sqrt (/ 1 x))) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* 1/3 (sqrt (/ 1 x))) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* 1/3 (sqrt (/ 1 x))) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* -1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* -1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* -1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
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(* (pow y 2) (+ (* -27 (/ x (pow y 2))) (+ (* 27 x) (+ (* 3 (/ 1 y)) (/ 3 (pow y 2)))))) |
(*.f64 (*.f64 y y) (+.f64 (+.f64 (/.f64 #s(literal 3 binary64) y) (/.f64 #s(literal 3 binary64) (*.f64 y y))) (+.f64 (*.f64 x #s(literal 27 binary64)) (/.f64 (*.f64 x #s(literal -27 binary64)) (*.f64 y y))))) |
(* (pow y 2) (+ (* -27 (/ x (pow y 2))) (+ (* 27 x) (+ (* 3 (/ 1 y)) (/ 3 (pow y 2)))))) |
(*.f64 (*.f64 y y) (+.f64 (+.f64 (/.f64 #s(literal 3 binary64) y) (/.f64 #s(literal 3 binary64) (*.f64 y y))) (+.f64 (*.f64 x #s(literal 27 binary64)) (/.f64 (*.f64 x #s(literal -27 binary64)) (*.f64 y y))))) |
(* 27 (* x (pow y 2))) |
(*.f64 x (*.f64 (*.f64 y y) #s(literal 27 binary64))) |
(* (pow y 2) (+ (* 27 x) (* 3 (/ 1 y)))) |
(*.f64 (*.f64 y y) (+.f64 (/.f64 #s(literal 3 binary64) y) (*.f64 x #s(literal 27 binary64)))) |
(* (pow y 2) (+ (* -1 (/ (- (* -1 (/ (+ 3 (* -27 x)) y)) 3) y)) (* 27 x))) |
(*.f64 (*.f64 y y) (-.f64 (*.f64 x #s(literal 27 binary64)) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -27 binary64))) (-.f64 #s(literal 0 binary64) y))) y))) |
(* (pow y 2) (+ (* -1 (/ (- (* -1 (/ (+ 3 (* -27 x)) y)) 3) y)) (* 27 x))) |
(*.f64 (*.f64 y y) (-.f64 (*.f64 x #s(literal 27 binary64)) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -27 binary64))) (-.f64 #s(literal 0 binary64) y))) y))) |
(+ 3 (* 3 y)) |
(+.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) y)) |
(+ 3 (+ (* 3 y) (* 3 (* x (- (* 9 (pow y 2)) 9))))) |
(+.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) (+.f64 y (*.f64 x (+.f64 #s(literal -9 binary64) (*.f64 y (*.f64 y #s(literal 9 binary64)))))))) |
(+ 3 (+ (* 3 y) (* 3 (* x (- (* 9 (pow y 2)) 9))))) |
(+.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) (+.f64 y (*.f64 x (+.f64 #s(literal -9 binary64) (*.f64 y (*.f64 y #s(literal 9 binary64)))))))) |
(+ 3 (+ (* 3 y) (* 3 (* x (- (* 9 (pow y 2)) 9))))) |
(+.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) (+.f64 y (*.f64 x (+.f64 #s(literal -9 binary64) (*.f64 y (*.f64 y #s(literal 9 binary64)))))))) |
(* 3 (* x (- (* 9 (pow y 2)) 9))) |
(*.f64 #s(literal 3 binary64) (*.f64 x (+.f64 #s(literal -9 binary64) (*.f64 y (*.f64 y #s(literal 9 binary64)))))) |
(* x (+ (* 3 (- (* 9 (pow y 2)) 9)) (+ (* 3 (/ y x)) (* 3 (/ 1 x))))) |
(*.f64 x (*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal -9 binary64) (*.f64 y (*.f64 y #s(literal 9 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x))))) |
(* x (+ (* 3 (- (* 9 (pow y 2)) 9)) (+ (* 3 (/ y x)) (* 3 (/ 1 x))))) |
(*.f64 x (*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal -9 binary64) (*.f64 y (*.f64 y #s(literal 9 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x))))) |
(* x (+ (* 3 (- (* 9 (pow y 2)) 9)) (+ (* 3 (/ y x)) (* 3 (/ 1 x))))) |
(*.f64 x (*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal -9 binary64) (*.f64 y (*.f64 y #s(literal 9 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x))))) |
(* 3 (* x (- (* 9 (pow y 2)) 9))) |
(*.f64 #s(literal 3 binary64) (*.f64 x (+.f64 #s(literal -9 binary64) (*.f64 y (*.f64 y #s(literal 9 binary64)))))) |
(* -1 (* x (+ (* -3 (- (* 9 (pow y 2)) 9)) (* -1 (/ (+ 3 (* 3 y)) x))))) |
(*.f64 x (neg.f64 (-.f64 (*.f64 #s(literal -3 binary64) (+.f64 #s(literal -9 binary64) (*.f64 y (*.f64 y #s(literal 9 binary64))))) (/.f64 (+.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) y)) x)))) |
(* -1 (* x (+ (* -3 (- (* 9 (pow y 2)) 9)) (* -1 (/ (+ 3 (* 3 y)) x))))) |
(*.f64 x (neg.f64 (-.f64 (*.f64 #s(literal -3 binary64) (+.f64 #s(literal -9 binary64) (*.f64 y (*.f64 y #s(literal 9 binary64))))) (/.f64 (+.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) y)) x)))) |
(* -1 (* x (+ (* -3 (- (* 9 (pow y 2)) 9)) (* -1 (/ (+ 3 (* 3 y)) x))))) |
(*.f64 x (neg.f64 (-.f64 (*.f64 #s(literal -3 binary64) (+.f64 #s(literal -9 binary64) (*.f64 y (*.f64 y #s(literal 9 binary64))))) (/.f64 (+.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) y)) x)))) |
(* -27 x) |
(*.f64 x #s(literal -27 binary64)) |
(+ (* -27 x) (* 27 (* x (pow y 2)))) |
(+.f64 (*.f64 x #s(literal -27 binary64)) (*.f64 x (*.f64 (*.f64 y y) #s(literal 27 binary64)))) |
(+ (* -27 x) (* 27 (* x (pow y 2)))) |
(+.f64 (*.f64 x #s(literal -27 binary64)) (*.f64 x (*.f64 (*.f64 y y) #s(literal 27 binary64)))) |
(+ (* -27 x) (* 27 (* x (pow y 2)))) |
(+.f64 (*.f64 x #s(literal -27 binary64)) (*.f64 x (*.f64 (*.f64 y y) #s(literal 27 binary64)))) |
(* 27 (* x (pow y 2))) |
(*.f64 x (*.f64 (*.f64 y y) #s(literal 27 binary64))) |
(* (pow y 2) (+ (* -27 (/ x (pow y 2))) (* 27 x))) |
(*.f64 (*.f64 y y) (+.f64 (*.f64 x #s(literal 27 binary64)) (/.f64 (*.f64 x #s(literal -27 binary64)) (*.f64 y y)))) |
(* (pow y 2) (+ (* -27 (/ x (pow y 2))) (* 27 x))) |
(*.f64 (*.f64 y y) (+.f64 (*.f64 x #s(literal 27 binary64)) (/.f64 (*.f64 x #s(literal -27 binary64)) (*.f64 y y)))) |
(* (pow y 2) (+ (* -27 (/ x (pow y 2))) (* 27 x))) |
(*.f64 (*.f64 y y) (+.f64 (*.f64 x #s(literal 27 binary64)) (/.f64 (*.f64 x #s(literal -27 binary64)) (*.f64 y y)))) |
(* 27 (* x (pow y 2))) |
(*.f64 x (*.f64 (*.f64 y y) #s(literal 27 binary64))) |
(* (pow y 2) (+ (* -27 (/ x (pow y 2))) (* 27 x))) |
(*.f64 (*.f64 y y) (+.f64 (*.f64 x #s(literal 27 binary64)) (/.f64 (*.f64 x #s(literal -27 binary64)) (*.f64 y y)))) |
(* (pow y 2) (+ (* -27 (/ x (pow y 2))) (* 27 x))) |
(*.f64 (*.f64 y y) (+.f64 (*.f64 x #s(literal 27 binary64)) (/.f64 (*.f64 x #s(literal -27 binary64)) (*.f64 y y)))) |
(* (pow y 2) (+ (* -27 (/ x (pow y 2))) (* 27 x))) |
(*.f64 (*.f64 y y) (+.f64 (*.f64 x #s(literal 27 binary64)) (/.f64 (*.f64 x #s(literal -27 binary64)) (*.f64 y y)))) |
(* 3 (* x (- (* 9 (pow y 2)) 9))) |
(*.f64 #s(literal 3 binary64) (*.f64 x (+.f64 #s(literal -9 binary64) (*.f64 y (*.f64 y #s(literal 9 binary64)))))) |
(* 3 (* x (- (* 9 (pow y 2)) 9))) |
(*.f64 #s(literal 3 binary64) (*.f64 x (+.f64 #s(literal -9 binary64) (*.f64 y (*.f64 y #s(literal 9 binary64)))))) |
(* 3 (* x (- (* 9 (pow y 2)) 9))) |
(*.f64 #s(literal 3 binary64) (*.f64 x (+.f64 #s(literal -9 binary64) (*.f64 y (*.f64 y #s(literal 9 binary64)))))) |
(* 3 (* x (- (* 9 (pow y 2)) 9))) |
(*.f64 #s(literal 3 binary64) (*.f64 x (+.f64 #s(literal -9 binary64) (*.f64 y (*.f64 y #s(literal 9 binary64)))))) |
(* 3 (* x (- (* 9 (pow y 2)) 9))) |
(*.f64 #s(literal 3 binary64) (*.f64 x (+.f64 #s(literal -9 binary64) (*.f64 y (*.f64 y #s(literal 9 binary64)))))) |
(* 3 (* x (- (* 9 (pow y 2)) 9))) |
(*.f64 #s(literal 3 binary64) (*.f64 x (+.f64 #s(literal -9 binary64) (*.f64 y (*.f64 y #s(literal 9 binary64)))))) |
(* 3 (* x (- (* 9 (pow y 2)) 9))) |
(*.f64 #s(literal 3 binary64) (*.f64 x (+.f64 #s(literal -9 binary64) (*.f64 y (*.f64 y #s(literal 9 binary64)))))) |
(* 3 (* x (- (* 9 (pow y 2)) 9))) |
(*.f64 #s(literal 3 binary64) (*.f64 x (+.f64 #s(literal -9 binary64) (*.f64 y (*.f64 y #s(literal 9 binary64)))))) |
(* 3 (* x (- (* 9 (pow y 2)) 9))) |
(*.f64 #s(literal 3 binary64) (*.f64 x (+.f64 #s(literal -9 binary64) (*.f64 y (*.f64 y #s(literal 9 binary64)))))) |
(* 3 (* x (- (* 9 (pow y 2)) 9))) |
(*.f64 #s(literal 3 binary64) (*.f64 x (+.f64 #s(literal -9 binary64) (*.f64 y (*.f64 y #s(literal 9 binary64)))))) |
(* 3 (* x (- (* 9 (pow y 2)) 9))) |
(*.f64 #s(literal 3 binary64) (*.f64 x (+.f64 #s(literal -9 binary64) (*.f64 y (*.f64 y #s(literal 9 binary64)))))) |
(* 3 (* x (- (* 9 (pow y 2)) 9))) |
(*.f64 #s(literal 3 binary64) (*.f64 x (+.f64 #s(literal -9 binary64) (*.f64 y (*.f64 y #s(literal 9 binary64)))))) |
(* 9 x) |
(*.f64 x #s(literal 9 binary64)) |
(+ (* 9 x) (* 9 (* x y))) |
(*.f64 #s(literal 9 binary64) (*.f64 (+.f64 y #s(literal 1 binary64)) x)) |
(+ (* 9 x) (* 9 (* x y))) |
(*.f64 #s(literal 9 binary64) (*.f64 (+.f64 y #s(literal 1 binary64)) x)) |
(+ (* 9 x) (* 9 (* x y))) |
(*.f64 #s(literal 9 binary64) (*.f64 (+.f64 y #s(literal 1 binary64)) x)) |
(* 9 (* x y)) |
(*.f64 x (*.f64 y #s(literal 9 binary64))) |
(* y (+ (* 9 x) (* 9 (/ x y)))) |
(*.f64 #s(literal 9 binary64) (*.f64 (+.f64 x (/.f64 x y)) y)) |
(* y (+ (* 9 x) (* 9 (/ x y)))) |
(*.f64 #s(literal 9 binary64) (*.f64 (+.f64 x (/.f64 x y)) y)) |
(* y (+ (* 9 x) (* 9 (/ x y)))) |
(*.f64 #s(literal 9 binary64) (*.f64 (+.f64 x (/.f64 x y)) y)) |
(* 9 (* x y)) |
(*.f64 x (*.f64 y #s(literal 9 binary64))) |
(* -1 (* y (+ (* -9 x) (* -9 (/ x y))))) |
(*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 #s(literal -9 binary64) (+.f64 x (/.f64 x y)))) |
(* -1 (* y (+ (* -9 x) (* -9 (/ x y))))) |
(*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 #s(literal -9 binary64) (+.f64 x (/.f64 x y)))) |
(* -1 (* y (+ (* -9 x) (* -9 (/ x y))))) |
(*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 #s(literal -9 binary64) (+.f64 x (/.f64 x y)))) |
(* 3 (* x (+ 3 (* 3 y)))) |
(*.f64 x (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) y)) #s(literal 3 binary64))) |
(* 3 (* x (+ 3 (* 3 y)))) |
(*.f64 x (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) y)) #s(literal 3 binary64))) |
(* 3 (* x (+ 3 (* 3 y)))) |
(*.f64 x (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) y)) #s(literal 3 binary64))) |
(* 3 (* x (+ 3 (* 3 y)))) |
(*.f64 x (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) y)) #s(literal 3 binary64))) |
(* 3 (* x (+ 3 (* 3 y)))) |
(*.f64 x (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) y)) #s(literal 3 binary64))) |
(* 3 (* x (+ 3 (* 3 y)))) |
(*.f64 x (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) y)) #s(literal 3 binary64))) |
(* 3 (* x (+ 3 (* 3 y)))) |
(*.f64 x (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) y)) #s(literal 3 binary64))) |
(* 3 (* x (+ 3 (* 3 y)))) |
(*.f64 x (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) y)) #s(literal 3 binary64))) |
(* 3 (* x (+ 3 (* 3 y)))) |
(*.f64 x (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) y)) #s(literal 3 binary64))) |
(* 3 (* x (+ 3 (* 3 y)))) |
(*.f64 x (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) y)) #s(literal 3 binary64))) |
(* 3 (* x (+ 3 (* 3 y)))) |
(*.f64 x (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) y)) #s(literal 3 binary64))) |
(* 3 (* x (+ 3 (* 3 y)))) |
(*.f64 x (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) y)) #s(literal 3 binary64))) |
Compiled 74163 to 5643 computations (92.4% saved)
26 alts after pruning (25 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1675 | 17 | 1692 |
| Fresh | 12 | 8 | 20 |
| Picked | 5 | 0 | 5 |
| Done | 1 | 1 | 2 |
| Total | 1693 | 26 | 1719 |
| Status | Accuracy | Program |
|---|---|---|
| 35.4% | (/.f64 (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) x) | |
| 99.3% | (/.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))) | |
| 68.8% | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) (*.f64 (+.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) #s(literal -1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))) | |
| ▶ | 35.3% | (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)))) |
| ▶ | 35.4% | (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) |
| 35.4% | (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) | |
| 35.4% | (*.f64 (/.f64 (sqrt.f64 x) (/.f64 x #s(literal 1/9 binary64))) #s(literal 3 binary64)) | |
| 99.3% | (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 #s(literal -3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64))))) | |
| 99.4% | (*.f64 (*.f64 (+.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) | |
| ▶ | 99.4% | (*.f64 (*.f64 (sqrt.f64 x) (+.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64))) #s(literal 3 binary64)) |
| 35.4% | (*.f64 (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) x)) | |
| 62.3% | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) | |
| ✓ | 99.4% | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
| ▶ | 38.7% | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y) |
| 62.5% | (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -27 binary64))))) | |
| 3.0% | (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/3 binary64)) | |
| 62.4% | (*.f64 (sqrt.f64 x) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -27 binary64)))) x)) | |
| 52.5% | (*.f64 (sqrt.f64 x) (/.f64 (+.f64 #s(literal -9 binary64) (*.f64 y (*.f64 y #s(literal 9 binary64)))) (+.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) y)))) | |
| 14.5% | (*.f64 (sqrt.f64 x) (/.f64 (*.f64 x (*.f64 (*.f64 y y) #s(literal 27 binary64))) (*.f64 (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 3 binary64)) (/.f64 x #s(literal 1/3 binary64))))) | |
| 35.4% | (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) x)) | |
| 62.3% | (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))) | |
| 72.3% | (*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) (/.f64 #s(literal 1/3 binary64) x))) | |
| 64.5% | (*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64))) | |
| 38.7% | (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y)) | |
| ▶ | 84.8% | (*.f64 y (*.f64 (sqrt.f64 x) (+.f64 #s(literal 3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) y)))) |
| 38.7% | (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y)) |
Compiled 640 to 486 computations (24.1% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (+.f64 #s(literal 3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) y)) |
| ✓ | cost-diff | 0 | (sqrt.f64 x) |
| ✓ | cost-diff | 0 | (*.f64 (sqrt.f64 x) (+.f64 #s(literal 3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) y))) |
| ✓ | cost-diff | 128 | (*.f64 y (*.f64 (sqrt.f64 x) (+.f64 #s(literal 3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) y)))) |
| ✓ | cost-diff | 0 | (sqrt.f64 x) |
| ✓ | cost-diff | 0 | (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 x (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64))) |
| ✓ | cost-diff | 128 | (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)))) |
| ✓ | cost-diff | 0 | (sqrt.f64 x) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y) |
| ✓ | cost-diff | 0 | (sqrt.f64 x) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) |
| ✓ | cost-diff | 0 | (+.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) |
| ✓ | cost-diff | 0 | (sqrt.f64 x) |
| ✓ | cost-diff | 0 | (*.f64 (sqrt.f64 x) (+.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 (sqrt.f64 x) (+.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64))) #s(literal 3 binary64)) |
| 4286× | *-lowering-*.f32 |
| 4286× | *-lowering-*.f64 |
| 1584× | sum5-define |
| 1498× | /-lowering-/.f32 |
| 1498× | /-lowering-/.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 140 |
| 1 | 64 | 140 |
| 2 | 163 | 139 |
| 3 | 386 | 139 |
| 4 | 725 | 139 |
| 5 | 1268 | 139 |
| 6 | 2969 | 139 |
| 0 | 8732 | 139 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (* (sqrt x) (+ (+ y (/ 1/9 x)) -1)) 3) |
(* (sqrt x) (+ (+ y (/ 1/9 x)) -1)) |
(sqrt x) |
x |
(+ (+ y (/ 1/9 x)) -1) |
(+ y (/ 1/9 x)) |
y |
(/ 1/9 x) |
1/9 |
-1 |
3 |
(/ 1/3 (sqrt x)) |
1/3 |
(sqrt x) |
x |
(* (* 3 (sqrt x)) y) |
(* 3 (sqrt x)) |
3 |
(sqrt x) |
x |
y |
(/ 1 (/ x (* (sqrt x) 1/3))) |
1 |
(/ x (* (sqrt x) 1/3)) |
x |
(* (sqrt x) 1/3) |
(sqrt x) |
1/3 |
(* y (* (sqrt x) (+ 3 (/ (+ (/ 1/3 x) -3) y)))) |
y |
(* (sqrt x) (+ 3 (/ (+ (/ 1/3 x) -3) y))) |
(sqrt x) |
x |
(+ 3 (/ (+ (/ 1/3 x) -3) y)) |
3 |
(/ (+ (/ 1/3 x) -3) y) |
(+ (/ 1/3 x) -3) |
(/ 1/3 x) |
1/3 |
-3 |
| Outputs |
|---|
(* (* (sqrt x) (+ (+ y (/ 1/9 x)) -1)) 3) |
(*.f64 (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
(* (sqrt x) (+ (+ y (/ 1/9 x)) -1)) |
(*.f64 (sqrt.f64 x) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))) |
(sqrt x) |
(sqrt.f64 x) |
x |
(+ (+ y (/ 1/9 x)) -1) |
(+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) |
(+ y (/ 1/9 x)) |
(+.f64 y (/.f64 #s(literal 1/9 binary64) x)) |
y |
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
1/9 |
#s(literal 1/9 binary64) |
-1 |
#s(literal -1 binary64) |
3 |
#s(literal 3 binary64) |
(/ 1/3 (sqrt x)) |
(/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) |
1/3 |
#s(literal 1/3 binary64) |
(sqrt x) |
(sqrt.f64 x) |
x |
(* (* 3 (sqrt x)) y) |
(*.f64 (sqrt.f64 x) (*.f64 y #s(literal 3 binary64))) |
(* 3 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
3 |
#s(literal 3 binary64) |
(sqrt x) |
(sqrt.f64 x) |
x |
y |
(/ 1 (/ x (* (sqrt x) 1/3))) |
(/.f64 (sqrt.f64 x) (/.f64 x #s(literal 1/3 binary64))) |
1 |
#s(literal 1 binary64) |
(/ x (* (sqrt x) 1/3)) |
(/.f64 x (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64))) |
x |
(* (sqrt x) 1/3) |
(*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) |
(sqrt x) |
(sqrt.f64 x) |
1/3 |
#s(literal 1/3 binary64) |
(* y (* (sqrt x) (+ 3 (/ (+ (/ 1/3 x) -3) y)))) |
(*.f64 (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
y |
(* (sqrt x) (+ 3 (/ (+ (/ 1/3 x) -3) y))) |
(*.f64 (sqrt.f64 x) (+.f64 #s(literal 3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) y))) |
(sqrt x) |
(sqrt.f64 x) |
x |
(+ 3 (/ (+ (/ 1/3 x) -3) y)) |
(+.f64 #s(literal 3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) y)) |
3 |
#s(literal 3 binary64) |
(/ (+ (/ 1/3 x) -3) y) |
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) y) |
(+ (/ 1/3 x) -3) |
(+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
1/3 |
#s(literal 1/3 binary64) |
-3 |
#s(literal -3 binary64) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.9% | (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) y) |
| ✓ | accuracy | 99.4% | (/.f64 #s(literal 1/3 binary64) x) |
| ✓ | accuracy | 96.0% | (*.f64 (sqrt.f64 x) (+.f64 #s(literal 3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) y))) |
| ✓ | accuracy | 88.7% | (*.f64 y (*.f64 (sqrt.f64 x) (+.f64 #s(literal 3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) y)))) |
| ✓ | accuracy | 100.0% | (sqrt.f64 x) |
| ✓ | accuracy | 99.7% | (/.f64 x (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64))) |
| ✓ | accuracy | 99.6% | (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)))) |
| ✓ | accuracy | 99.5% | (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) |
| ✓ | accuracy | 100.0% | (sqrt.f64 x) |
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y) |
| ✓ | accuracy | 99.6% | (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
| ✓ | accuracy | 100.0% | (sqrt.f64 x) |
| ✓ | accuracy | 99.4% | (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) |
| ✓ | accuracy | 100.0% | (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) |
| ✓ | accuracy | 99.7% | (*.f64 (sqrt.f64 x) (+.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64))) |
| ✓ | accuracy | 99.5% | (*.f64 (*.f64 (sqrt.f64 x) (+.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64))) #s(literal 3 binary64)) |
| ✓ | accuracy | 99.5% | (/.f64 #s(literal 1/9 binary64) x) |
| 145.0ms | 256× | 0 | valid |
Compiled 150 to 27 computations (82% saved)
ival-mult: 12.0ms (29.7% of total)ival-div: 11.0ms (27.3% of total)...c/correct-round.rkt:119:19: 9.0ms (22.3% of total)ival-add: 5.0ms (12.4% of total)ival-sqrt: 2.0ms (5% of total)const: 1.0ms (2.5% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* (* (sqrt x) (+ (+ y (/ 1/9 x)) -1)) 3)> |
#<alt (* (sqrt x) (+ (+ y (/ 1/9 x)) -1))> |
#<alt (sqrt x)> |
#<alt (+ (+ y (/ 1/9 x)) -1)> |
#<alt (/ 1/3 (sqrt x))> |
#<alt (* (* 3 (sqrt x)) y)> |
#<alt (* 3 (sqrt x))> |
#<alt (/ 1 (/ x (* (sqrt x) 1/3)))> |
#<alt (/ x (* (sqrt x) 1/3))> |
#<alt (* (sqrt x) 1/3)> |
#<alt (* y (* (sqrt x) (+ 3 (/ (+ (/ 1/3 x) -3) y))))> |
#<alt (* (sqrt x) (+ 3 (/ (+ (/ 1/3 x) -3) y)))> |
#<alt (+ 3 (/ (+ (/ 1/3 x) -3) y))> |
#<alt (/ 1/9 x)> |
#<alt (+ y (/ 1/9 x))> |
#<alt (/ 1/3 x)> |
#<alt (/ (+ (/ 1/3 x) -3) y)> |
| Outputs |
|---|
#<alt (* 1/3 (sqrt (/ 1 x)))> |
#<alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)> |
#<alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)> |
#<alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)> |
#<alt (* 3 (* (sqrt x) (- y 1)))> |
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))> |
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))> |
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))> |
#<alt (* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1))))> |
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))> |
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))> |
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))> |
#<alt (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))> |
#<alt (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))> |
#<alt (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))> |
#<alt (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))> |
#<alt (* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))> |
#<alt (* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))> |
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))> |
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))> |
#<alt (* 1/9 (sqrt (/ 1 x)))> |
#<alt (/ (+ (* 1/9 (sqrt x)) (* (sqrt (pow x 3)) (- y 1))) x)> |
#<alt (/ (+ (* 1/9 (sqrt x)) (* (sqrt (pow x 3)) (- y 1))) x)> |
#<alt (/ (+ (* 1/9 (sqrt x)) (* (sqrt (pow x 3)) (- y 1))) x)> |
#<alt (* (sqrt x) (- y 1))> |
#<alt (* x (+ (* 1/9 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- y 1))))> |
#<alt (* x (+ (* 1/9 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- y 1))))> |
#<alt (* x (+ (* 1/9 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- y 1))))> |
#<alt (* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1))))> |
#<alt (* -1 (* x (+ (* 1/9 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))> |
#<alt (* -1 (* x (+ (* 1/9 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))> |
#<alt (* -1 (* x (+ (* 1/9 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))> |
#<alt (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))> |
#<alt (+ (* (sqrt x) y) (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))> |
#<alt (+ (* (sqrt x) y) (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))> |
#<alt (+ (* (sqrt x) y) (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))> |
#<alt (* (sqrt x) y)> |
#<alt (* y (+ (sqrt x) (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))> |
#<alt (* y (+ (sqrt x) (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))> |
#<alt (* y (+ (sqrt x) (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))> |
#<alt (* (sqrt x) y)> |
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))> |
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))> |
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (- (* 1/9 (/ 1 x)) 1)> |
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)> |
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)> |
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)> |
#<alt y> |
#<alt (* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y)))> |
#<alt (* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y)))> |
#<alt (* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y)))> |
#<alt y> |
#<alt (* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1)))> |
#<alt (* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1)))> |
#<alt (* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1)))> |
#<alt (/ 1/9 x)> |
#<alt (/ (+ 1/9 (* x (- y 1))) x)> |
#<alt (/ (+ 1/9 (* x (- y 1))) x)> |
#<alt (/ (+ 1/9 (* x (- y 1))) x)> |
#<alt (- y 1)> |
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)> |
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)> |
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)> |
#<alt (- y 1)> |
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)> |
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)> |
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)> |
#<alt (* 1/3 (sqrt (/ 1 x)))> |
#<alt (* 1/3 (sqrt (/ 1 x)))> |
#<alt (* 1/3 (sqrt (/ 1 x)))> |
#<alt (* 1/3 (sqrt (/ 1 x)))> |
#<alt (* 1/3 (sqrt (/ 1 x)))> |
#<alt (* 1/3 (sqrt (/ 1 x)))> |
#<alt (* 1/3 (sqrt (/ 1 x)))> |
#<alt (* 1/3 (sqrt (/ 1 x)))> |
#<alt (* 1/3 (sqrt (/ 1 x)))> |
#<alt (* 1/3 (sqrt (/ 1 x)))> |
#<alt (* 1/3 (sqrt (/ 1 x)))> |
#<alt (* 1/3 (sqrt (/ 1 x)))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* -3 (* (sqrt x) (* y (pow (sqrt -1) 2))))> |
#<alt (* -3 (* (sqrt x) (* y (pow (sqrt -1) 2))))> |
#<alt (* -3 (* (sqrt x) (* y (pow (sqrt -1) 2))))> |
#<alt (* -3 (* (sqrt x) (* y (pow (sqrt -1) 2))))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* 3 (sqrt x))> |
#<alt (* 3 (sqrt x))> |
#<alt (* 3 (sqrt x))> |
#<alt (* 3 (sqrt x))> |
#<alt (* 3 (sqrt x))> |
#<alt (* 3 (sqrt x))> |
#<alt (* 3 (sqrt x))> |
#<alt (* 3 (sqrt x))> |
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* 1/3 (sqrt (/ 1 x)))> |
#<alt (* 1/3 (sqrt (/ 1 x)))> |
#<alt (* 1/3 (sqrt (/ 1 x)))> |
#<alt (* 1/3 (sqrt (/ 1 x)))> |
#<alt (* 1/3 (sqrt (/ 1 x)))> |
#<alt (* 1/3 (sqrt (/ 1 x)))> |
#<alt (* 1/3 (sqrt (/ 1 x)))> |
#<alt (* 1/3 (sqrt (/ 1 x)))> |
#<alt (* -1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))> |
#<alt (* -1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))> |
#<alt (* -1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))> |
#<alt (* -1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))> |
#<alt (* 3 (sqrt x))> |
#<alt (* 3 (sqrt x))> |
#<alt (* 3 (sqrt x))> |
#<alt (* 3 (sqrt x))> |
#<alt (* 3 (sqrt x))> |
#<alt (* 3 (sqrt x))> |
#<alt (* 3 (sqrt x))> |
#<alt (* 3 (sqrt x))> |
#<alt (* 3 (sqrt x))> |
#<alt (* 3 (sqrt x))> |
#<alt (* 3 (sqrt x))> |
#<alt (* 3 (sqrt x))> |
#<alt (* 1/3 (sqrt x))> |
#<alt (* 1/3 (sqrt x))> |
#<alt (* 1/3 (sqrt x))> |
#<alt (* 1/3 (sqrt x))> |
#<alt (* 1/3 (sqrt x))> |
#<alt (* 1/3 (sqrt x))> |
#<alt (* 1/3 (sqrt x))> |
#<alt (* 1/3 (sqrt x))> |
#<alt (* -1/3 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1/3 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1/3 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1/3 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* (sqrt x) (- (* 1/3 (/ 1 x)) 3))> |
#<alt (+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3)))> |
#<alt (+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3)))> |
#<alt (+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3)))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* y (+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y))))> |
#<alt (* y (+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y))))> |
#<alt (* y (+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y))))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y))))))> |
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y))))))> |
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y))))))> |
#<alt (* 1/3 (sqrt (/ 1 x)))> |
#<alt (/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (* y (- 3 (* 3 (/ 1 y)))))) x)> |
#<alt (/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (* y (- 3 (* 3 (/ 1 y)))))) x)> |
#<alt (/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (* y (- 3 (* 3 (/ 1 y)))))) x)> |
#<alt (* (sqrt x) (* y (- 3 (* 3 (/ 1 y)))))> |
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (* y (- 3 (* 3 (/ 1 y)))))))> |
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (* y (- 3 (* 3 (/ 1 y)))))))> |
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (* y (- 3 (* 3 (/ 1 y)))))))> |
#<alt (* -1 (* (sqrt x) (* y (* (pow (sqrt -1) 2) (- 3 (* 3 (/ 1 y)))))))> |
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* y (* (pow (sqrt -1) 2) (- 3 (* 3 (/ 1 y)))))))))> |
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* y (* (pow (sqrt -1) 2) (- 3 (* 3 (/ 1 y)))))))))> |
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* y (* (pow (sqrt -1) 2) (- 3 (* 3 (/ 1 y)))))))))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y)))> |
#<alt (/ (+ (* 1/3 (* (sqrt x) (/ 1 y))) (* (sqrt (pow x 3)) (- 3 (* 3 (/ 1 y))))) x)> |
#<alt (/ (+ (* 1/3 (* (sqrt x) (/ 1 y))) (* (sqrt (pow x 3)) (- 3 (* 3 (/ 1 y))))) x)> |
#<alt (/ (+ (* 1/3 (* (sqrt x) (/ 1 y))) (* (sqrt (pow x 3)) (- 3 (* 3 (/ 1 y))))) x)> |
#<alt (* (sqrt x) (- 3 (* 3 (/ 1 y))))> |
#<alt (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (/ 1 y))) (* (sqrt (/ 1 x)) (- 3 (* 3 (/ 1 y))))))> |
#<alt (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (/ 1 y))) (* (sqrt (/ 1 x)) (- 3 (* 3 (/ 1 y))))))> |
#<alt (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (/ 1 y))) (* (sqrt (/ 1 x)) (- 3 (* 3 (/ 1 y))))))> |
#<alt (* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (- 3 (* 3 (/ 1 y))))))> |
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (/ (pow (sqrt -1) 2) y))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- 3 (* 3 (/ 1 y))))))))> |
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (/ (pow (sqrt -1) 2) y))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- 3 (* 3 (/ 1 y))))))))> |
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (/ (pow (sqrt -1) 2) y))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- 3 (* 3 (/ 1 y))))))))> |
#<alt (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y))> |
#<alt (/ (+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3))) y)> |
#<alt (/ (+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3))) y)> |
#<alt (/ (+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3))) y)> |
#<alt (* 3 (sqrt x))> |
#<alt (+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y)))> |
#<alt (+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y)))> |
#<alt (+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y)))> |
#<alt (* 3 (sqrt x))> |
#<alt (+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y)))> |
#<alt (+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y)))> |
#<alt (+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y)))> |
#<alt (/ 1/3 (* x y))> |
#<alt (/ (+ (* x (- 3 (* 3 (/ 1 y)))) (* 1/3 (/ 1 y))) x)> |
#<alt (/ (+ (* x (- 3 (* 3 (/ 1 y)))) (* 1/3 (/ 1 y))) x)> |
#<alt (/ (+ (* x (- 3 (* 3 (/ 1 y)))) (* 1/3 (/ 1 y))) x)> |
#<alt (- 3 (* 3 (/ 1 y)))> |
#<alt (- (+ 3 (* 1/3 (/ 1 (* x y)))) (* 3 (/ 1 y)))> |
#<alt (- (+ 3 (* 1/3 (/ 1 (* x y)))) (* 3 (/ 1 y)))> |
#<alt (- (+ 3 (* 1/3 (/ 1 (* x y)))) (* 3 (/ 1 y)))> |
#<alt (- 3 (* 3 (/ 1 y)))> |
#<alt (- (+ 3 (* 1/3 (/ 1 (* x y)))) (* 3 (/ 1 y)))> |
#<alt (- (+ 3 (* 1/3 (/ 1 (* x y)))) (* 3 (/ 1 y)))> |
#<alt (- (+ 3 (* 1/3 (/ 1 (* x y)))) (* 3 (/ 1 y)))> |
#<alt (/ (- (* 1/3 (/ 1 x)) 3) y)> |
#<alt (/ (- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3) y)> |
#<alt (/ (- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3) y)> |
#<alt (/ (- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3) y)> |
#<alt 3> |
#<alt (- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y)))> |
#<alt (- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y)))> |
#<alt (- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y)))> |
#<alt 3> |
#<alt (- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y)))> |
#<alt (- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y)))> |
#<alt (- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y)))> |
#<alt (/ 1/9 x)> |
#<alt (/ 1/9 x)> |
#<alt (/ 1/9 x)> |
#<alt (/ 1/9 x)> |
#<alt (/ 1/9 x)> |
#<alt (/ 1/9 x)> |
#<alt (/ 1/9 x)> |
#<alt (/ 1/9 x)> |
#<alt (/ 1/9 x)> |
#<alt (/ 1/9 x)> |
#<alt (/ 1/9 x)> |
#<alt (/ 1/9 x)> |
#<alt (/ 1/9 x)> |
#<alt (+ y (* 1/9 (/ 1 x)))> |
#<alt (+ y (* 1/9 (/ 1 x)))> |
#<alt (+ y (* 1/9 (/ 1 x)))> |
#<alt y> |
#<alt (* y (+ 1 (* 1/9 (/ 1 (* x y)))))> |
#<alt (* y (+ 1 (* 1/9 (/ 1 (* x y)))))> |
#<alt (* y (+ 1 (* 1/9 (/ 1 (* x y)))))> |
#<alt y> |
#<alt (* y (+ 1 (* 1/9 (/ 1 (* x y)))))> |
#<alt (* y (+ 1 (* 1/9 (/ 1 (* x y)))))> |
#<alt (* y (+ 1 (* 1/9 (/ 1 (* x y)))))> |
#<alt (/ 1/9 x)> |
#<alt (/ (+ 1/9 (* x y)) x)> |
#<alt (/ (+ 1/9 (* x y)) x)> |
#<alt (/ (+ 1/9 (* x y)) x)> |
#<alt y> |
#<alt (+ y (* 1/9 (/ 1 x)))> |
#<alt (+ y (* 1/9 (/ 1 x)))> |
#<alt (+ y (* 1/9 (/ 1 x)))> |
#<alt y> |
#<alt (+ y (* 1/9 (/ 1 x)))> |
#<alt (+ y (* 1/9 (/ 1 x)))> |
#<alt (+ y (* 1/9 (/ 1 x)))> |
#<alt (/ 1/3 x)> |
#<alt (/ 1/3 x)> |
#<alt (/ 1/3 x)> |
#<alt (/ 1/3 x)> |
#<alt (/ 1/3 x)> |
#<alt (/ 1/3 x)> |
#<alt (/ 1/3 x)> |
#<alt (/ 1/3 x)> |
#<alt (/ 1/3 x)> |
#<alt (/ 1/3 x)> |
#<alt (/ 1/3 x)> |
#<alt (/ 1/3 x)> |
#<alt (/ 1/3 (* x y))> |
#<alt (/ (+ (* -3 (/ x y)) (* 1/3 (/ 1 y))) x)> |
#<alt (/ (+ (* -3 (/ x y)) (* 1/3 (/ 1 y))) x)> |
#<alt (/ (+ (* -3 (/ x y)) (* 1/3 (/ 1 y))) x)> |
#<alt (/ -3 y)> |
#<alt (- (* 1/3 (/ 1 (* x y))) (* 3 (/ 1 y)))> |
#<alt (- (* 1/3 (/ 1 (* x y))) (* 3 (/ 1 y)))> |
#<alt (- (* 1/3 (/ 1 (* x y))) (* 3 (/ 1 y)))> |
#<alt (/ -3 y)> |
#<alt (- (* 1/3 (/ 1 (* x y))) (* 3 (/ 1 y)))> |
#<alt (- (* 1/3 (/ 1 (* x y))) (* 3 (/ 1 y)))> |
#<alt (- (* 1/3 (/ 1 (* x y))) (* 3 (/ 1 y)))> |
#<alt (/ (- (* 1/3 (/ 1 x)) 3) y)> |
#<alt (/ (- (* 1/3 (/ 1 x)) 3) y)> |
#<alt (/ (- (* 1/3 (/ 1 x)) 3) y)> |
#<alt (/ (- (* 1/3 (/ 1 x)) 3) y)> |
#<alt (/ (- (* 1/3 (/ 1 x)) 3) y)> |
#<alt (/ (- (* 1/3 (/ 1 x)) 3) y)> |
#<alt (/ (- (* 1/3 (/ 1 x)) 3) y)> |
#<alt (/ (- (* 1/3 (/ 1 x)) 3) y)> |
#<alt (/ (- (* 1/3 (/ 1 x)) 3) y)> |
#<alt (/ (- (* 1/3 (/ 1 x)) 3) y)> |
#<alt (/ (- (* 1/3 (/ 1 x)) 3) y)> |
#<alt (/ (- (* 1/3 (/ 1 x)) 3) y)> |
78 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (* y (* (sqrt x) (+ 3 (/ (+ (/ 1/3 x) -3) y)))) |
| 1.0ms | x | @ | -inf | (* y (* (sqrt x) (+ 3 (/ (+ (/ 1/3 x) -3) y)))) |
| 1.0ms | x | @ | -inf | (/ 1/3 (sqrt x)) |
| 1.0ms | x | @ | -inf | (* (* 3 (sqrt x)) y) |
| 1.0ms | y | @ | -inf | (* y (* (sqrt x) (+ 3 (/ (+ (/ 1/3 x) -3) y)))) |
| 1× | batch-egg-rewrite |
| 4132× | /-lowering-/.f32 |
| 4132× | /-lowering-/.f64 |
| 3472× | *-lowering-*.f32 |
| 3472× | *-lowering-*.f64 |
| 1698× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 107 |
| 1 | 156 | 107 |
| 2 | 1252 | 107 |
| 0 | 8336 | 107 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (* (sqrt x) (+ (+ y (/ 1/9 x)) -1)) 3) |
(* (sqrt x) (+ (+ y (/ 1/9 x)) -1)) |
(sqrt x) |
(+ (+ y (/ 1/9 x)) -1) |
(/ 1/3 (sqrt x)) |
(* (* 3 (sqrt x)) y) |
(* 3 (sqrt x)) |
(/ 1 (/ x (* (sqrt x) 1/3))) |
(/ x (* (sqrt x) 1/3)) |
(* (sqrt x) 1/3) |
(* y (* (sqrt x) (+ 3 (/ (+ (/ 1/3 x) -3) y)))) |
(* (sqrt x) (+ 3 (/ (+ (/ 1/3 x) -3) y))) |
(+ 3 (/ (+ (/ 1/3 x) -3) y)) |
(/ 1/9 x) |
(+ y (/ 1/9 x)) |
(/ 1/3 x) |
(/ (+ (/ 1/3 x) -3) y) |
| Outputs |
|---|
(+.f64 (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)))) (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 x)))) |
(+.f64 (*.f64 (*.f64 (sqrt.f64 x) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) #s(literal 3 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) #s(literal 3 binary64))) |
(fma.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 x)))) |
(fma.f64 (*.f64 (sqrt.f64 x) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) #s(literal 3 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) #s(literal 3 binary64))) |
(/.f64 (+.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) |
(/.f64 (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 x))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)))) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))))) (-.f64 (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 x))) (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 x)))) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)))) (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 x))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 x) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) #s(literal 3 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 x) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) #s(literal 3 binary64)) (*.f64 (*.f64 (sqrt.f64 x) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) #s(literal 3 binary64))) (-.f64 (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) #s(literal 3 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) #s(literal 3 binary64))) (*.f64 (*.f64 (*.f64 (sqrt.f64 x) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) #s(literal 3 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) #s(literal 3 binary64)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)))) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))))) (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 x))) (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 x))))) (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)))) (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 x))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 x) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) #s(literal 3 binary64)) (*.f64 (*.f64 (sqrt.f64 x) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) #s(literal 3 binary64))) (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) #s(literal 3 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) #s(literal 3 binary64)))) (-.f64 (*.f64 (*.f64 (sqrt.f64 x) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) #s(literal 3 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) #s(literal 3 binary64)))) |
(*.f64 (sqrt.f64 x) (*.f64 (+.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) #s(literal 3 binary64))) |
(*.f64 (+.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64))) |
(*.f64 (*.f64 (sqrt.f64 x) (+.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64))) #s(literal 3 binary64)) |
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) (+.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) (+.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (+.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) |
(+.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)))) |
(+.f64 (*.f64 (sqrt.f64 x) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) (-.f64 #s(literal 0 binary64) (sqrt.f64 x))) |
(+.f64 (*.f64 (sqrt.f64 x) y) (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))) |
(+.f64 (*.f64 (sqrt.f64 x) y) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (sqrt.f64 x))) |
(-.f64 (*.f64 (sqrt.f64 x) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) (sqrt.f64 x)) |
(-.f64 (/.f64 (pow.f64 (*.f64 (sqrt.f64 x) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) #s(literal 2 binary64)) (+.f64 (*.f64 (sqrt.f64 x) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) (sqrt.f64 x))) (/.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) #s(literal 2 binary64)) (+.f64 (*.f64 (sqrt.f64 x) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) (sqrt.f64 x)))) |
(fma.f64 (sqrt.f64 x) y (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))) |
(fma.f64 (sqrt.f64 x) y (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (sqrt.f64 x))) |
(fma.f64 (sqrt.f64 x) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (-.f64 #s(literal 0 binary64) (sqrt.f64 x))) |
(fma.f64 (sqrt.f64 x) #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)))) |
(fma.f64 y (sqrt.f64 x) (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))) |
(fma.f64 y (sqrt.f64 x) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (sqrt.f64 x))) |
(fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x) (-.f64 #s(literal 0 binary64) (sqrt.f64 x))) |
(fma.f64 #s(literal -1 binary64) (sqrt.f64 x) (*.f64 (sqrt.f64 x) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)))) |
(/.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 x) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) #s(literal 2 binary64)) (-.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) #s(literal 2 binary64)) (*.f64 (*.f64 (sqrt.f64 x) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) (-.f64 #s(literal 0 binary64) (sqrt.f64 x))))) (+.f64 (pow.f64 (*.f64 (sqrt.f64 x) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) #s(literal 3 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (sqrt.f64 x) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) (sqrt.f64 x)) (-.f64 (pow.f64 (*.f64 (sqrt.f64 x) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)))) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -1 binary64) (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal 1 binary64))) (*.f64 (sqrt.f64 x) (+.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)))) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))))) (sqrt.f64 x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal 1 binary64))) (*.f64 (+.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) #s(literal -1 binary64)) (sqrt.f64 x)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 x) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) #s(literal 3 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 (sqrt.f64 x) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) #s(literal 2 binary64)) (-.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) #s(literal 2 binary64)) (*.f64 (*.f64 (sqrt.f64 x) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) (-.f64 #s(literal 0 binary64) (sqrt.f64 x)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (sqrt.f64 x) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) #s(literal 2 binary64))) (+.f64 (*.f64 (sqrt.f64 x) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) (sqrt.f64 x))) |
(/.f64 (*.f64 (sqrt.f64 x) (+.f64 #s(literal -1 binary64) (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)))))) (-.f64 (+.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))))) |
(/.f64 (*.f64 (sqrt.f64 x) (+.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal 1 binary64)))) |
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))))) (sqrt.f64 x)) (-.f64 (+.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))))) |
(/.f64 (*.f64 (+.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) #s(literal -1 binary64)) (sqrt.f64 x)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 x) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) #s(literal 3 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 x) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) #s(literal 2 binary64)) (-.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) #s(literal 2 binary64)) (*.f64 (*.f64 (sqrt.f64 x) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) (-.f64 #s(literal 0 binary64) (sqrt.f64 x))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (sqrt.f64 x) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))) (neg.f64 (+.f64 (*.f64 (sqrt.f64 x) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) (sqrt.f64 x)))) |
(/.f64 (neg.f64 (*.f64 (sqrt.f64 x) (+.f64 #s(literal -1 binary64) (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))))))) (-.f64 #s(literal 0 binary64) (-.f64 (+.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)))))) |
(/.f64 (neg.f64 (*.f64 (sqrt.f64 x) (+.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) #s(literal -1 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))))) (sqrt.f64 x))) (-.f64 #s(literal 0 binary64) (-.f64 (+.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)))))) |
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(*.f64 #s(literal 1 binary64) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) |
(*.f64 (+.f64 (*.f64 y (*.f64 y y)) (/.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y y) (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (/.f64 x #s(literal 1/9 binary64)))))) |
(*.f64 (+.f64 (*.f64 y (*.f64 y y)) (/.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) (-.f64 (*.f64 y y) (/.f64 y (/.f64 x #s(literal 1/9 binary64))))))) |
(*.f64 (-.f64 (*.f64 y y) (/.f64 #s(literal 1/81 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 y (/.f64 #s(literal -1/9 binary64) x)))) |
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 y (*.f64 y y)) (/.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 y y) (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (/.f64 x #s(literal 1/9 binary64))))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 y y) (/.f64 #s(literal 1/81 binary64) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 y (/.f64 #s(literal -1/9 binary64) x))))) |
(*.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y))) |
(exp.f64 (*.f64 (log.f64 (/.f64 x #s(literal 1/3 binary64))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/3 binary64) x)) |
(neg.f64 (/.f64 #s(literal -1/3 binary64) x)) |
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 x #s(literal 1/3 binary64)))) |
(/.f64 #s(literal 1/3 binary64) x) |
(/.f64 #s(literal 1 binary64) (/.f64 x #s(literal 1/3 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 x #s(literal 1/3 binary64))))) |
(/.f64 #s(literal -1/3 binary64) (-.f64 #s(literal 0 binary64) x)) |
(pow.f64 (/.f64 x #s(literal 1/3 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/3 binary64) x)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 x #s(literal 1/3 binary64))))) |
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)) |
(*.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) |
(exp.f64 (*.f64 (log.f64 (/.f64 y (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x)) y)) |
(-.f64 (/.f64 (/.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))) y) (/.f64 (/.f64 #s(literal 9 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))) y)) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) y)) (/.f64 (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x)) y)) |
(-.f64 (/.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) (*.f64 y (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)))) (/.f64 #s(literal 9 binary64) (*.f64 y (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))))) |
(neg.f64 (/.f64 (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x)) y)) |
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 y (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 y (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) (+.f64 #s(literal 9 binary64) (/.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x))) #s(literal -27 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal -9 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) (+.f64 #s(literal 9 binary64) (/.f64 #s(literal 1 binary64) x))) y) (+.f64 (/.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x))) #s(literal -27 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) y) (+.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal -9 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) (+.f64 #s(literal 9 binary64) (/.f64 #s(literal 1 binary64) x))) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x))) #s(literal -27 binary64)) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal -9 binary64)) y))) |
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) y) |
(/.f64 (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (-.f64 #s(literal 0 binary64) y)) |
(/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x))) #s(literal -27 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) (+.f64 #s(literal 9 binary64) (/.f64 #s(literal 1 binary64) x))) y)) |
(/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x))) #s(literal -27 binary64)) (*.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) (+.f64 #s(literal 9 binary64) (/.f64 #s(literal 1 binary64) x))))) |
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) |
(/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal -9 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) y)) |
(/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal -9 binary64)) (*.f64 y (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x))) #s(literal -27 binary64))) (neg.f64 (*.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) (+.f64 #s(literal 9 binary64) (/.f64 #s(literal 1 binary64) x)))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x))) #s(literal -27 binary64))) (neg.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) (+.f64 #s(literal 9 binary64) (/.f64 #s(literal 1 binary64) x))) y))) |
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal -9 binary64))) (neg.f64 (*.f64 y (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal -9 binary64))) (neg.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) y))) |
(/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x))) #s(literal -27 binary64)) y) (+.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) (+.f64 #s(literal 9 binary64) (/.f64 #s(literal 1 binary64) x)))) |
(/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal -9 binary64)) y) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))) |
(/.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x))) #s(literal -27 binary64)) y)) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) (+.f64 #s(literal 9 binary64) (/.f64 #s(literal 1 binary64) x))))) |
(/.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal -9 binary64)) y)) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)))) |
(pow.f64 (/.f64 y (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x)) y)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 y (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)))))) |
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) y)) |
(*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) y) #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x))) #s(literal -27 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) (+.f64 #s(literal 9 binary64) (/.f64 #s(literal 1 binary64) x)))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x))) #s(literal -27 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) (+.f64 #s(literal 9 binary64) (/.f64 #s(literal 1 binary64) x))) y))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal -9 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal -9 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) y))) |
(*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x))) #s(literal -27 binary64)) y) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) (+.f64 #s(literal 9 binary64) (/.f64 #s(literal 1 binary64) x))))) |
(*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal -9 binary64)) y) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)))) |
(*.f64 (pow.f64 (/.f64 y (+.f64 (/.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x))) #s(literal -27 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) (+.f64 #s(literal 9 binary64) (/.f64 #s(literal 1 binary64) x))))) |
(*.f64 (pow.f64 (/.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal -9 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)))) |
| 1× | egg-herbie |
| 3512× | *-lowering-*.f32 |
| 3512× | *-lowering-*.f64 |
| 1614× | fma-lowering-fma.f32 |
| 1614× | fma-lowering-fma.f64 |
| 1548× | fma-define |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 186 | 2396 |
| 1 | 574 | 2332 |
| 2 | 1943 | 2285 |
| 3 | 5789 | 2285 |
| 0 | 8558 | 2285 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/3 (sqrt (/ 1 x))) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(* 3 (* (sqrt x) (- y 1))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1)))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(* 3 (* (sqrt x) y)) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(* 3 (* (sqrt x) y)) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* 1/9 (sqrt (/ 1 x))) |
(/ (+ (* 1/9 (sqrt x)) (* (sqrt (pow x 3)) (- y 1))) x) |
(/ (+ (* 1/9 (sqrt x)) (* (sqrt (pow x 3)) (- y 1))) x) |
(/ (+ (* 1/9 (sqrt x)) (* (sqrt (pow x 3)) (- y 1))) x) |
(* (sqrt x) (- y 1)) |
(* x (+ (* 1/9 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- y 1)))) |
(* x (+ (* 1/9 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- y 1)))) |
(* x (+ (* 1/9 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- y 1)))) |
(* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1)))) |
(* -1 (* x (+ (* 1/9 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))) |
(* -1 (* x (+ (* 1/9 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))) |
(* -1 (* x (+ (* 1/9 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))) |
(* (sqrt x) (- (* 1/9 (/ 1 x)) 1)) |
(+ (* (sqrt x) y) (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) |
(+ (* (sqrt x) y) (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) |
(+ (* (sqrt x) y) (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) |
(* (sqrt x) y) |
(* y (+ (sqrt x) (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))) |
(* y (+ (sqrt x) (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))) |
(* y (+ (sqrt x) (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))) |
(* (sqrt x) y) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(- (* 1/9 (/ 1 x)) 1) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
y |
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y))) |
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y))) |
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y))) |
y |
(* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1))) |
(* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1))) |
(* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1))) |
(/ 1/9 x) |
(/ (+ 1/9 (* x (- y 1))) x) |
(/ (+ 1/9 (* x (- y 1))) x) |
(/ (+ 1/9 (* x (- y 1))) x) |
(- y 1) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
(- y 1) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
(* 1/3 (sqrt (/ 1 x))) |
(* 1/3 (sqrt (/ 1 x))) |
(* 1/3 (sqrt (/ 1 x))) |
(* 1/3 (sqrt (/ 1 x))) |
(* 1/3 (sqrt (/ 1 x))) |
(* 1/3 (sqrt (/ 1 x))) |
(* 1/3 (sqrt (/ 1 x))) |
(* 1/3 (sqrt (/ 1 x))) |
(* 1/3 (sqrt (/ 1 x))) |
(* 1/3 (sqrt (/ 1 x))) |
(* 1/3 (sqrt (/ 1 x))) |
(* 1/3 (sqrt (/ 1 x))) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* -3 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(* -3 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(* -3 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(* -3 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(* 1/3 (sqrt (/ 1 x))) |
(* 1/3 (sqrt (/ 1 x))) |
(* 1/3 (sqrt (/ 1 x))) |
(* 1/3 (sqrt (/ 1 x))) |
(* 1/3 (sqrt (/ 1 x))) |
(* 1/3 (sqrt (/ 1 x))) |
(* 1/3 (sqrt (/ 1 x))) |
(* 1/3 (sqrt (/ 1 x))) |
(* -1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(* -1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(* -1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(* -1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 1/3 (sqrt x)) |
(* 1/3 (sqrt x)) |
(* 1/3 (sqrt x)) |
(* 1/3 (sqrt x)) |
(* 1/3 (sqrt x)) |
(* 1/3 (sqrt x)) |
(* 1/3 (sqrt x)) |
(* 1/3 (sqrt x)) |
(* -1/3 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1/3 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1/3 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1/3 (* (sqrt x) (pow (sqrt -1) 2))) |
(* (sqrt x) (- (* 1/3 (/ 1 x)) 3)) |
(+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3))) |
(+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3))) |
(+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3))) |
(* 3 (* (sqrt x) y)) |
(* y (+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y)))) |
(* y (+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y)))) |
(* y (+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y)))) |
(* 3 (* (sqrt x) y)) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y)))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y)))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y)))))) |
(* 1/3 (sqrt (/ 1 x))) |
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (* y (- 3 (* 3 (/ 1 y)))))) x) |
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (* y (- 3 (* 3 (/ 1 y)))))) x) |
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (* y (- 3 (* 3 (/ 1 y)))))) x) |
(* (sqrt x) (* y (- 3 (* 3 (/ 1 y))))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (* y (- 3 (* 3 (/ 1 y))))))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (* y (- 3 (* 3 (/ 1 y))))))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (* y (- 3 (* 3 (/ 1 y))))))) |
(* -1 (* (sqrt x) (* y (* (pow (sqrt -1) 2) (- 3 (* 3 (/ 1 y))))))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* y (* (pow (sqrt -1) 2) (- 3 (* 3 (/ 1 y))))))))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* y (* (pow (sqrt -1) 2) (- 3 (* 3 (/ 1 y))))))))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* y (* (pow (sqrt -1) 2) (- 3 (* 3 (/ 1 y))))))))) |
(* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) |
(/ (+ (* 1/3 (* (sqrt x) (/ 1 y))) (* (sqrt (pow x 3)) (- 3 (* 3 (/ 1 y))))) x) |
(/ (+ (* 1/3 (* (sqrt x) (/ 1 y))) (* (sqrt (pow x 3)) (- 3 (* 3 (/ 1 y))))) x) |
(/ (+ (* 1/3 (* (sqrt x) (/ 1 y))) (* (sqrt (pow x 3)) (- 3 (* 3 (/ 1 y))))) x) |
(* (sqrt x) (- 3 (* 3 (/ 1 y)))) |
(* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (/ 1 y))) (* (sqrt (/ 1 x)) (- 3 (* 3 (/ 1 y)))))) |
(* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (/ 1 y))) (* (sqrt (/ 1 x)) (- 3 (* 3 (/ 1 y)))))) |
(* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (/ 1 y))) (* (sqrt (/ 1 x)) (- 3 (* 3 (/ 1 y)))))) |
(* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (- 3 (* 3 (/ 1 y)))))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (/ (pow (sqrt -1) 2) y))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- 3 (* 3 (/ 1 y)))))))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (/ (pow (sqrt -1) 2) y))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- 3 (* 3 (/ 1 y)))))))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (/ (pow (sqrt -1) 2) y))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- 3 (* 3 (/ 1 y)))))))) |
(* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y)) |
(/ (+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3))) y) |
(/ (+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3))) y) |
(/ (+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3))) y) |
(* 3 (sqrt x)) |
(+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y))) |
(+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y))) |
(+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y))) |
(* 3 (sqrt x)) |
(+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y))) |
(+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y))) |
(+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y))) |
(/ 1/3 (* x y)) |
(/ (+ (* x (- 3 (* 3 (/ 1 y)))) (* 1/3 (/ 1 y))) x) |
(/ (+ (* x (- 3 (* 3 (/ 1 y)))) (* 1/3 (/ 1 y))) x) |
(/ (+ (* x (- 3 (* 3 (/ 1 y)))) (* 1/3 (/ 1 y))) x) |
(- 3 (* 3 (/ 1 y))) |
(- (+ 3 (* 1/3 (/ 1 (* x y)))) (* 3 (/ 1 y))) |
(- (+ 3 (* 1/3 (/ 1 (* x y)))) (* 3 (/ 1 y))) |
(- (+ 3 (* 1/3 (/ 1 (* x y)))) (* 3 (/ 1 y))) |
(- 3 (* 3 (/ 1 y))) |
(- (+ 3 (* 1/3 (/ 1 (* x y)))) (* 3 (/ 1 y))) |
(- (+ 3 (* 1/3 (/ 1 (* x y)))) (* 3 (/ 1 y))) |
(- (+ 3 (* 1/3 (/ 1 (* x y)))) (* 3 (/ 1 y))) |
(/ (- (* 1/3 (/ 1 x)) 3) y) |
(/ (- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3) y) |
(/ (- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3) y) |
(/ (- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3) y) |
3 |
(- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y))) |
(- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y))) |
(- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y))) |
3 |
(- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y))) |
(- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y))) |
(- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y))) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(+ y (* 1/9 (/ 1 x))) |
(+ y (* 1/9 (/ 1 x))) |
(+ y (* 1/9 (/ 1 x))) |
y |
(* y (+ 1 (* 1/9 (/ 1 (* x y))))) |
(* y (+ 1 (* 1/9 (/ 1 (* x y))))) |
(* y (+ 1 (* 1/9 (/ 1 (* x y))))) |
y |
(* y (+ 1 (* 1/9 (/ 1 (* x y))))) |
(* y (+ 1 (* 1/9 (/ 1 (* x y))))) |
(* y (+ 1 (* 1/9 (/ 1 (* x y))))) |
(/ 1/9 x) |
(/ (+ 1/9 (* x y)) x) |
(/ (+ 1/9 (* x y)) x) |
(/ (+ 1/9 (* x y)) x) |
y |
(+ y (* 1/9 (/ 1 x))) |
(+ y (* 1/9 (/ 1 x))) |
(+ y (* 1/9 (/ 1 x))) |
y |
(+ y (* 1/9 (/ 1 x))) |
(+ y (* 1/9 (/ 1 x))) |
(+ y (* 1/9 (/ 1 x))) |
(/ 1/3 x) |
(/ 1/3 x) |
(/ 1/3 x) |
(/ 1/3 x) |
(/ 1/3 x) |
(/ 1/3 x) |
(/ 1/3 x) |
(/ 1/3 x) |
(/ 1/3 x) |
(/ 1/3 x) |
(/ 1/3 x) |
(/ 1/3 x) |
(/ 1/3 (* x y)) |
(/ (+ (* -3 (/ x y)) (* 1/3 (/ 1 y))) x) |
(/ (+ (* -3 (/ x y)) (* 1/3 (/ 1 y))) x) |
(/ (+ (* -3 (/ x y)) (* 1/3 (/ 1 y))) x) |
(/ -3 y) |
(- (* 1/3 (/ 1 (* x y))) (* 3 (/ 1 y))) |
(- (* 1/3 (/ 1 (* x y))) (* 3 (/ 1 y))) |
(- (* 1/3 (/ 1 (* x y))) (* 3 (/ 1 y))) |
(/ -3 y) |
(- (* 1/3 (/ 1 (* x y))) (* 3 (/ 1 y))) |
(- (* 1/3 (/ 1 (* x y))) (* 3 (/ 1 y))) |
(- (* 1/3 (/ 1 (* x y))) (* 3 (/ 1 y))) |
(/ (- (* 1/3 (/ 1 x)) 3) y) |
(/ (- (* 1/3 (/ 1 x)) 3) y) |
(/ (- (* 1/3 (/ 1 x)) 3) y) |
(/ (- (* 1/3 (/ 1 x)) 3) y) |
(/ (- (* 1/3 (/ 1 x)) 3) y) |
(/ (- (* 1/3 (/ 1 x)) 3) y) |
(/ (- (* 1/3 (/ 1 x)) 3) y) |
(/ (- (* 1/3 (/ 1 x)) 3) y) |
(/ (- (* 1/3 (/ 1 x)) 3) y) |
(/ (- (* 1/3 (/ 1 x)) 3) y) |
(/ (- (* 1/3 (/ 1 x)) 3) y) |
(/ (- (* 1/3 (/ 1 x)) 3) y) |
| Outputs |
|---|
(* 1/3 (sqrt (/ 1 x))) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(/.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (+.f64 y #s(literal -1 binary64))))) x) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(/.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (+.f64 y #s(literal -1 binary64))))) x) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(/.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (+.f64 y #s(literal -1 binary64))))) x) |
(* 3 (* (sqrt x) (- y 1))) |
(*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 3 binary64) y))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(*.f64 x (-.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 1 binary64) y))))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(*.f64 x (-.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 1 binary64) y))))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(*.f64 x (-.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 1 binary64) y))))) |
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1)))) |
(*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 3 binary64) y))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(*.f64 x (-.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 1 binary64) y))))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(*.f64 x (-.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 1 binary64) y))))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(*.f64 x (-.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 1 binary64) y))))) |
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) |
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (-.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (-.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (-.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))) |
(* 3 (* (sqrt x) y)) |
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y)) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (-.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (-.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (-.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))) |
(* 3 (* (sqrt x) y)) |
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y)) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (-.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (-.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (-.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))) |
(* 1/9 (sqrt (/ 1 x))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/9 binary64)) |
(/ (+ (* 1/9 (sqrt x)) (* (sqrt (pow x 3)) (- y 1))) x) |
(/.f64 (+.f64 (*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (+.f64 y #s(literal -1 binary64))) (*.f64 (sqrt.f64 x) #s(literal 1/9 binary64))) x) |
(/ (+ (* 1/9 (sqrt x)) (* (sqrt (pow x 3)) (- y 1))) x) |
(/.f64 (+.f64 (*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (+.f64 y #s(literal -1 binary64))) (*.f64 (sqrt.f64 x) #s(literal 1/9 binary64))) x) |
(/ (+ (* 1/9 (sqrt x)) (* (sqrt (pow x 3)) (- y 1))) x) |
(/.f64 (+.f64 (*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (+.f64 y #s(literal -1 binary64))) (*.f64 (sqrt.f64 x) #s(literal 1/9 binary64))) x) |
(* (sqrt x) (- y 1)) |
(*.f64 (sqrt.f64 x) (+.f64 y #s(literal -1 binary64))) |
(* x (+ (* 1/9 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- y 1)))) |
(*.f64 x (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 y #s(literal -1 binary64))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x))) #s(literal 1/9 binary64)))) |
(* x (+ (* 1/9 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- y 1)))) |
(*.f64 x (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 y #s(literal -1 binary64))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x))) #s(literal 1/9 binary64)))) |
(* x (+ (* 1/9 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- y 1)))) |
(*.f64 x (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 y #s(literal -1 binary64))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x))) #s(literal 1/9 binary64)))) |
(* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1)))) |
(*.f64 (sqrt.f64 x) (+.f64 y #s(literal -1 binary64))) |
(* -1 (* x (+ (* 1/9 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))) |
(*.f64 x (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 y #s(literal -1 binary64))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x))) #s(literal 1/9 binary64)))) |
(* -1 (* x (+ (* 1/9 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))) |
(*.f64 x (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 y #s(literal -1 binary64))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x))) #s(literal 1/9 binary64)))) |
(* -1 (* x (+ (* 1/9 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))) |
(*.f64 x (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 y #s(literal -1 binary64))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x))) #s(literal 1/9 binary64)))) |
(* (sqrt x) (- (* 1/9 (/ 1 x)) 1)) |
(*.f64 (sqrt.f64 x) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x))) |
(+ (* (sqrt x) y) (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) |
(*.f64 (sqrt.f64 x) (-.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))) |
(+ (* (sqrt x) y) (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) |
(*.f64 (sqrt.f64 x) (-.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))) |
(+ (* (sqrt x) y) (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) |
(*.f64 (sqrt.f64 x) (-.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* y (+ (sqrt x) (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))) |
(*.f64 (sqrt.f64 x) (-.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))) |
(* y (+ (sqrt x) (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))) |
(*.f64 (sqrt.f64 x) (-.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))) |
(* y (+ (sqrt x) (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))) |
(*.f64 (sqrt.f64 x) (-.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(*.f64 (sqrt.f64 x) (-.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(*.f64 (sqrt.f64 x) (-.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(*.f64 (sqrt.f64 x) (-.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(- (* 1/9 (/ 1 x)) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
(-.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
(-.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
(-.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) |
y |
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y))) |
(-.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) |
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y))) |
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(*.f64 x (+.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x))) (/.f64 #s(literal 1/3 binary64) y)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal -3 binary64) y))))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (/ (pow (sqrt -1) 2) y))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- 3 (* 3 (/ 1 y)))))))) |
(*.f64 x (+.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x))) (/.f64 #s(literal 1/3 binary64) y)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal -3 binary64) y))))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (/ (pow (sqrt -1) 2) y))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- 3 (* 3 (/ 1 y)))))))) |
(*.f64 x (+.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x))) (/.f64 #s(literal 1/3 binary64) y)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal -3 binary64) y))))) |
(* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y)) |
(*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (/.f64 (sqrt.f64 x) y)) |
(/ (+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3))) y) |
(/.f64 (*.f64 (sqrt.f64 x) (-.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 y #s(literal -3 binary64)))) y) |
(/ (+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3))) y) |
(/.f64 (*.f64 (sqrt.f64 x) (-.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 y #s(literal -3 binary64)))) y) |
(/ (+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3))) y) |
(/.f64 (*.f64 (sqrt.f64 x) (-.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 y #s(literal -3 binary64)))) y) |
(* 3 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y))) |
(*.f64 (sqrt.f64 x) (+.f64 #s(literal 3 binary64) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) y))) |
(+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y))) |
(*.f64 (sqrt.f64 x) (+.f64 #s(literal 3 binary64) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) y))) |
(+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y))) |
(*.f64 (sqrt.f64 x) (+.f64 #s(literal 3 binary64) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) y))) |
(* 3 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y))) |
(*.f64 (sqrt.f64 x) (+.f64 #s(literal 3 binary64) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) y))) |
(+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y))) |
(*.f64 (sqrt.f64 x) (+.f64 #s(literal 3 binary64) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) y))) |
(+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y))) |
(*.f64 (sqrt.f64 x) (+.f64 #s(literal 3 binary64) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) y))) |
(/ 1/3 (* x y)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 x y)) |
(/ (+ (* x (- 3 (* 3 (/ 1 y)))) (* 1/3 (/ 1 y))) x) |
(/.f64 (+.f64 (*.f64 x (+.f64 #s(literal 3 binary64) (/.f64 #s(literal -3 binary64) y))) (/.f64 #s(literal 1/3 binary64) y)) x) |
(/ (+ (* x (- 3 (* 3 (/ 1 y)))) (* 1/3 (/ 1 y))) x) |
(/.f64 (+.f64 (*.f64 x (+.f64 #s(literal 3 binary64) (/.f64 #s(literal -3 binary64) y))) (/.f64 #s(literal 1/3 binary64) y)) x) |
(/ (+ (* x (- 3 (* 3 (/ 1 y)))) (* 1/3 (/ 1 y))) x) |
(/.f64 (+.f64 (*.f64 x (+.f64 #s(literal 3 binary64) (/.f64 #s(literal -3 binary64) y))) (/.f64 #s(literal 1/3 binary64) y)) x) |
(- 3 (* 3 (/ 1 y))) |
(+.f64 #s(literal 3 binary64) (/.f64 #s(literal -3 binary64) y)) |
(- (+ 3 (* 1/3 (/ 1 (* x y)))) (* 3 (/ 1 y))) |
(+.f64 #s(literal 3 binary64) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) y)) |
(- (+ 3 (* 1/3 (/ 1 (* x y)))) (* 3 (/ 1 y))) |
(+.f64 #s(literal 3 binary64) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) y)) |
(- (+ 3 (* 1/3 (/ 1 (* x y)))) (* 3 (/ 1 y))) |
(+.f64 #s(literal 3 binary64) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) y)) |
(- 3 (* 3 (/ 1 y))) |
(+.f64 #s(literal 3 binary64) (/.f64 #s(literal -3 binary64) y)) |
(- (+ 3 (* 1/3 (/ 1 (* x y)))) (* 3 (/ 1 y))) |
(+.f64 #s(literal 3 binary64) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) y)) |
(- (+ 3 (* 1/3 (/ 1 (* x y)))) (* 3 (/ 1 y))) |
(+.f64 #s(literal 3 binary64) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) y)) |
(- (+ 3 (* 1/3 (/ 1 (* x y)))) (* 3 (/ 1 y))) |
(+.f64 #s(literal 3 binary64) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) y)) |
(/ (- (* 1/3 (/ 1 x)) 3) y) |
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) y) |
(/ (- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3) y) |
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 3 binary64) y))) y) |
(/ (- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3) y) |
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 3 binary64) y))) y) |
(/ (- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3) y) |
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 3 binary64) y))) y) |
3 |
#s(literal 3 binary64) |
(- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y))) |
(+.f64 #s(literal 3 binary64) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) y)) |
(- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y))) |
(+.f64 #s(literal 3 binary64) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) y)) |
(- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y))) |
(+.f64 #s(literal 3 binary64) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) y)) |
3 |
#s(literal 3 binary64) |
(- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y))) |
(+.f64 #s(literal 3 binary64) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) y)) |
(- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y))) |
(+.f64 #s(literal 3 binary64) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) y)) |
(- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y))) |
(+.f64 #s(literal 3 binary64) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) y)) |
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
(+ y (* 1/9 (/ 1 x))) |
(+.f64 y (/.f64 #s(literal 1/9 binary64) x)) |
(+ y (* 1/9 (/ 1 x))) |
(+.f64 y (/.f64 #s(literal 1/9 binary64) x)) |
(+ y (* 1/9 (/ 1 x))) |
(+.f64 y (/.f64 #s(literal 1/9 binary64) x)) |
y |
(* y (+ 1 (* 1/9 (/ 1 (* x y))))) |
(+.f64 y (/.f64 #s(literal 1/9 binary64) x)) |
(* y (+ 1 (* 1/9 (/ 1 (* x y))))) |
(+.f64 y (/.f64 #s(literal 1/9 binary64) x)) |
(* y (+ 1 (* 1/9 (/ 1 (* x y))))) |
(+.f64 y (/.f64 #s(literal 1/9 binary64) x)) |
y |
(* y (+ 1 (* 1/9 (/ 1 (* x y))))) |
(+.f64 y (/.f64 #s(literal 1/9 binary64) x)) |
(* y (+ 1 (* 1/9 (/ 1 (* x y))))) |
(+.f64 y (/.f64 #s(literal 1/9 binary64) x)) |
(* y (+ 1 (* 1/9 (/ 1 (* x y))))) |
(+.f64 y (/.f64 #s(literal 1/9 binary64) x)) |
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
(/ (+ 1/9 (* x y)) x) |
(/.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x y)) x) |
(/ (+ 1/9 (* x y)) x) |
(/.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x y)) x) |
(/ (+ 1/9 (* x y)) x) |
(/.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x y)) x) |
y |
(+ y (* 1/9 (/ 1 x))) |
(+.f64 y (/.f64 #s(literal 1/9 binary64) x)) |
(+ y (* 1/9 (/ 1 x))) |
(+.f64 y (/.f64 #s(literal 1/9 binary64) x)) |
(+ y (* 1/9 (/ 1 x))) |
(+.f64 y (/.f64 #s(literal 1/9 binary64) x)) |
y |
(+ y (* 1/9 (/ 1 x))) |
(+.f64 y (/.f64 #s(literal 1/9 binary64) x)) |
(+ y (* 1/9 (/ 1 x))) |
(+.f64 y (/.f64 #s(literal 1/9 binary64) x)) |
(+ y (* 1/9 (/ 1 x))) |
(+.f64 y (/.f64 #s(literal 1/9 binary64) x)) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ 1/3 (* x y)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 x y)) |
(/ (+ (* -3 (/ x y)) (* 1/3 (/ 1 y))) x) |
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) y) (*.f64 x (/.f64 #s(literal -3 binary64) y))) x) |
(/ (+ (* -3 (/ x y)) (* 1/3 (/ 1 y))) x) |
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) y) (*.f64 x (/.f64 #s(literal -3 binary64) y))) x) |
(/ (+ (* -3 (/ x y)) (* 1/3 (/ 1 y))) x) |
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) y) (*.f64 x (/.f64 #s(literal -3 binary64) y))) x) |
(/ -3 y) |
(/.f64 #s(literal -3 binary64) y) |
(- (* 1/3 (/ 1 (* x y))) (* 3 (/ 1 y))) |
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) y) |
(- (* 1/3 (/ 1 (* x y))) (* 3 (/ 1 y))) |
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) y) |
(- (* 1/3 (/ 1 (* x y))) (* 3 (/ 1 y))) |
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) y) |
(/ -3 y) |
(/.f64 #s(literal -3 binary64) y) |
(- (* 1/3 (/ 1 (* x y))) (* 3 (/ 1 y))) |
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) y) |
(- (* 1/3 (/ 1 (* x y))) (* 3 (/ 1 y))) |
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) y) |
(- (* 1/3 (/ 1 (* x y))) (* 3 (/ 1 y))) |
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) y) |
(/ (- (* 1/3 (/ 1 x)) 3) y) |
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) y) |
(/ (- (* 1/3 (/ 1 x)) 3) y) |
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) y) |
(/ (- (* 1/3 (/ 1 x)) 3) y) |
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) y) |
(/ (- (* 1/3 (/ 1 x)) 3) y) |
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) y) |
(/ (- (* 1/3 (/ 1 x)) 3) y) |
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) y) |
(/ (- (* 1/3 (/ 1 x)) 3) y) |
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) y) |
(/ (- (* 1/3 (/ 1 x)) 3) y) |
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) y) |
(/ (- (* 1/3 (/ 1 x)) 3) y) |
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) y) |
(/ (- (* 1/3 (/ 1 x)) 3) y) |
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) y) |
(/ (- (* 1/3 (/ 1 x)) 3) y) |
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) y) |
(/ (- (* 1/3 (/ 1 x)) 3) y) |
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) y) |
(/ (- (* 1/3 (/ 1 x)) 3) y) |
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) y) |
Compiled 18391 to 2185 computations (88.1% saved)
29 alts after pruning (27 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1015 | 16 | 1031 |
| Fresh | 9 | 11 | 20 |
| Picked | 3 | 2 | 5 |
| Done | 1 | 0 | 1 |
| Total | 1028 | 29 | 1057 |
| Status | Accuracy | Program |
|---|---|---|
| 99.4% | (/.f64 (+.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) | |
| 35.4% | (/.f64 (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) x) | |
| 35.4% | (/.f64 (sqrt.f64 x) (/.f64 x #s(literal 1/3 binary64))) | |
| 99.3% | (/.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))) | |
| 38.7% | (/.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) | |
| 35.4% | (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64))) | |
| ▶ | 35.4% | (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
| ✓ | 35.4% | (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) |
| ▶ | 35.4% | (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) |
| 99.4% | (*.f64 (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) (+.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64))) | |
| 38.7% | (*.f64 (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) y) | |
| 38.7% | (*.f64 (/.f64 x (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64))) y) | |
| 35.4% | (*.f64 (/.f64 #s(literal 1/3 binary64) x) (sqrt.f64 x)) | |
| ▶ | 62.3% | (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
| ▶ | 99.4% | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (+.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64))) #s(literal 3 binary64)) |
| 64.5% | (*.f64 (*.f64 (sqrt.f64 x) (+.f64 y #s(literal -1 binary64))) #s(literal 3 binary64)) | |
| 64.5% | (*.f64 (*.f64 (sqrt.f64 x) y) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal -3 binary64) y))) | |
| 38.7% | (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) | |
| 38.7% | (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x)) | |
| ✓ | 38.7% | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y) |
| 62.5% | (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -27 binary64))))) | |
| 3.0% | (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/3 binary64)) | |
| 62.4% | (*.f64 (sqrt.f64 x) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -27 binary64)))) x)) | |
| 52.5% | (*.f64 (sqrt.f64 x) (/.f64 (+.f64 #s(literal -9 binary64) (*.f64 y (*.f64 y #s(literal 9 binary64)))) (+.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) y)))) | |
| 14.5% | (*.f64 (sqrt.f64 x) (/.f64 (*.f64 x (*.f64 (*.f64 y y) #s(literal 27 binary64))) (*.f64 (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 3 binary64)) (/.f64 x #s(literal 1/3 binary64))))) | |
| ▶ | 62.3% | (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))) |
| 72.3% | (*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) (/.f64 #s(literal 1/3 binary64) x))) | |
| 64.5% | (*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64))) | |
| 58.9% | (*.f64 y (*.f64 (sqrt.f64 x) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal -3 binary64) y)))) |
Compiled 622 to 485 computations (22% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1/9 binary64) x) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)) |
| ✓ | cost-diff | 128 | (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1/3 binary64) x) |
| ✓ | cost-diff | 0 | (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) |
| ✓ | cost-diff | 0 | (sqrt.f64 x) |
| ✓ | cost-diff | 0 | (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))) |
| ✓ | cost-diff | 0 | (sqrt.f64 x) |
| ✓ | cost-diff | 0 | (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
| ✓ | cost-diff | 128 | (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
| ✓ | cost-diff | 0 | (pow.f64 x #s(literal -1/2 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) |
| ✓ | cost-diff | 0 | (pow.f64 x #s(literal -1/2 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) |
| ✓ | cost-diff | 128 | (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (+.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64))) |
| ✓ | cost-diff | 128 | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (+.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64))) #s(literal 3 binary64)) |
| 1914× | *-lowering-*.f32 |
| 1914× | *-lowering-*.f64 |
| 1636× | sum5-define |
| 1560× | fnmadd-define |
| 1508× | fma-lowering-fma.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 124 |
| 1 | 62 | 121 |
| 2 | 165 | 121 |
| 3 | 453 | 121 |
| 4 | 957 | 121 |
| 5 | 1371 | 121 |
| 6 | 2167 | 121 |
| 7 | 4245 | 121 |
| 0 | 8136 | 121 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (* (/ 1 (pow x -1/2)) (+ (+ y (/ 1/9 x)) -1)) 3) |
(* (/ 1 (pow x -1/2)) (+ (+ y (/ 1/9 x)) -1)) |
(/ 1 (pow x -1/2)) |
1 |
(pow x -1/2) |
x |
-1/2 |
(+ (+ y (/ 1/9 x)) -1) |
(+ y (/ 1/9 x)) |
y |
(/ 1/9 x) |
1/9 |
-1 |
3 |
(* (pow x -1/2) 1/3) |
(pow x -1/2) |
x |
-1/2 |
1/3 |
(/ 1 (* (sqrt x) 3)) |
1 |
(* (sqrt x) 3) |
(sqrt x) |
x |
3 |
(* (sqrt x) (+ (/ 1/3 x) -3)) |
(sqrt x) |
x |
(+ (/ 1/3 x) -3) |
(/ 1/3 x) |
1/3 |
-3 |
(* (+ -1 (/ 1/9 x)) (* (sqrt x) 3)) |
(+ -1 (/ 1/9 x)) |
-1 |
(/ 1/9 x) |
1/9 |
x |
(* (sqrt x) 3) |
(sqrt x) |
3 |
| Outputs |
|---|
(* (* (/ 1 (pow x -1/2)) (+ (+ y (/ 1/9 x)) -1)) 3) |
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) (+.f64 #s(literal -3 binary64) (*.f64 y #s(literal 3 binary64)))) (pow.f64 x #s(literal -1/2 binary64))) |
(* (/ 1 (pow x -1/2)) (+ (+ y (/ 1/9 x)) -1)) |
(/.f64 (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) (pow.f64 x #s(literal -1/2 binary64))) |
(/ 1 (pow x -1/2)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) |
1 |
#s(literal 1 binary64) |
(pow x -1/2) |
(pow.f64 x #s(literal -1/2 binary64)) |
x |
-1/2 |
#s(literal -1/2 binary64) |
(+ (+ y (/ 1/9 x)) -1) |
(+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) |
(+ y (/ 1/9 x)) |
(+.f64 y (/.f64 #s(literal 1/9 binary64) x)) |
y |
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
1/9 |
#s(literal 1/9 binary64) |
-1 |
#s(literal -1 binary64) |
3 |
#s(literal 3 binary64) |
(* (pow x -1/2) 1/3) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) |
(pow x -1/2) |
(pow.f64 x #s(literal -1/2 binary64)) |
x |
-1/2 |
#s(literal -1/2 binary64) |
1/3 |
#s(literal 1/3 binary64) |
(/ 1 (* (sqrt x) 3)) |
(/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) |
1 |
#s(literal 1 binary64) |
(* (sqrt x) 3) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
(sqrt x) |
(sqrt.f64 x) |
x |
3 |
#s(literal 3 binary64) |
(* (sqrt x) (+ (/ 1/3 x) -3)) |
(*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
(sqrt x) |
(sqrt.f64 x) |
x |
(+ (/ 1/3 x) -3) |
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
1/3 |
#s(literal 1/3 binary64) |
-3 |
#s(literal -3 binary64) |
(* (+ -1 (/ 1/9 x)) (* (sqrt x) 3)) |
(*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
(+ -1 (/ 1/9 x)) |
(+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) |
-1 |
#s(literal -1 binary64) |
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
1/9 |
#s(literal 1/9 binary64) |
x |
(* (sqrt x) 3) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
(sqrt x) |
(sqrt.f64 x) |
3 |
#s(literal 3 binary64) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (sqrt.f64 x) |
| ✓ | accuracy | 99.7% | (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
| ✓ | accuracy | 99.6% | (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
| ✓ | accuracy | 99.5% | (/.f64 #s(literal 1/9 binary64) x) |
| ✓ | accuracy | 100.0% | (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) |
| ✓ | accuracy | 100.0% | (sqrt.f64 x) |
| ✓ | accuracy | 99.5% | (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))) |
| ✓ | accuracy | 99.4% | (/.f64 #s(literal 1/3 binary64) x) |
| ✓ | accuracy | 100.0% | (sqrt.f64 x) |
| ✓ | accuracy | 99.6% | (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
| ✓ | accuracy | 99.6% | (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
| ✓ | accuracy | 100.0% | (pow.f64 x #s(literal -1/2 binary64)) |
| ✓ | accuracy | 99.4% | (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) |
| ✓ | accuracy | 99.7% | (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (+.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64))) |
| ✓ | accuracy | 99.6% | (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) |
| ✓ | accuracy | 99.5% | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (+.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64))) #s(literal 3 binary64)) |
| ✓ | accuracy | 99.5% | (/.f64 #s(literal 1/9 binary64) x) |
| 212.0ms | 256× | 0 | valid |
Compiled 136 to 26 computations (80.9% saved)
ival-pow: 28.0ms (35.5% of total)ival-mult: 27.0ms (34.3% of total)...c/correct-round.rkt:119:19: 8.0ms (10.2% of total)ival-div: 7.0ms (8.9% of total)ival-add: 5.0ms (6.3% of total)ival-sqrt: 2.0ms (2.5% of total)const: 1.0ms (1.3% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* (* (/ 1 (pow x -1/2)) (+ (+ y (/ 1/9 x)) -1)) 3)> |
#<alt (* (/ 1 (pow x -1/2)) (+ (+ y (/ 1/9 x)) -1))> |
#<alt (/ 1 (pow x -1/2))> |
#<alt (pow x -1/2)> |
#<alt (* (pow x -1/2) 1/3)> |
#<alt (/ 1 (* (sqrt x) 3))> |
#<alt (* (sqrt x) 3)> |
#<alt (sqrt x)> |
#<alt (* (sqrt x) (+ (/ 1/3 x) -3))> |
#<alt (+ (/ 1/3 x) -3)> |
#<alt (/ 1/3 x)> |
#<alt (* (+ -1 (/ 1/9 x)) (* (sqrt x) 3))> |
#<alt (+ -1 (/ 1/9 x))> |
#<alt (/ 1/9 x)> |
| Outputs |
|---|
#<alt (* 1/3 (sqrt (/ 1 x)))> |
#<alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)> |
#<alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)> |
#<alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)> |
#<alt (* 3 (* (sqrt x) (- y 1)))> |
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))> |
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))> |
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))> |
#<alt (* -3 (* (sqrt x) (- y 1)))> |
#<alt (* -1 (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))))> |
#<alt (* -1 (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))))> |
#<alt (* -1 (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))))> |
#<alt (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))> |
#<alt (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))> |
#<alt (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))> |
#<alt (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))> |
#<alt (* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))> |
#<alt (* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))> |
#<alt (* 3 (* (sqrt x) y))> |
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))> |
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))> |
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))> |
#<alt (* 1/9 (sqrt (/ 1 x)))> |
#<alt (/ (+ (* 1/9 (sqrt x)) (* (sqrt (pow x 3)) (- y 1))) x)> |
#<alt (/ (+ (* 1/9 (sqrt x)) (* (sqrt (pow x 3)) (- y 1))) x)> |
#<alt (/ (+ (* 1/9 (sqrt x)) (* (sqrt (pow x 3)) (- y 1))) x)> |
#<alt (* (sqrt x) (- y 1))> |
#<alt (* x (+ (* 1/9 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- y 1))))> |
#<alt (* x (+ (* 1/9 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- y 1))))> |
#<alt (* x (+ (* 1/9 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- y 1))))> |
#<alt (* -1 (* (sqrt x) (- y 1)))> |
#<alt (* -1 (* x (+ (* 1/9 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- y 1)))))> |
#<alt (* -1 (* x (+ (* 1/9 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- y 1)))))> |
#<alt (* -1 (* x (+ (* 1/9 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- y 1)))))> |
#<alt (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))> |
#<alt (+ (* (sqrt x) y) (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))> |
#<alt (+ (* (sqrt x) y) (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))> |
#<alt (+ (* (sqrt x) y) (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))> |
#<alt (* (sqrt x) y)> |
#<alt (* y (+ (sqrt x) (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))> |
#<alt (* y (+ (sqrt x) (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))> |
#<alt (* y (+ (sqrt x) (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))> |
#<alt (* (sqrt x) y)> |
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))> |
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))> |
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (* -1 (sqrt x))> |
#<alt (* -1 (sqrt x))> |
#<alt (* -1 (sqrt x))> |
#<alt (* -1 (sqrt x))> |
#<alt (sqrt (/ 1 x))> |
#<alt (sqrt (/ 1 x))> |
#<alt (sqrt (/ 1 x))> |
#<alt (sqrt (/ 1 x))> |
#<alt (sqrt (/ 1 x))> |
#<alt (sqrt (/ 1 x))> |
#<alt (sqrt (/ 1 x))> |
#<alt (sqrt (/ 1 x))> |
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))> |
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))> |
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))> |
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))> |
#<alt (* 1/3 (sqrt (/ 1 x)))> |
#<alt (* 1/3 (sqrt (/ 1 x)))> |
#<alt (* 1/3 (sqrt (/ 1 x)))> |
#<alt (* 1/3 (sqrt (/ 1 x)))> |
#<alt (* 1/3 (sqrt (/ 1 x)))> |
#<alt (* 1/3 (sqrt (/ 1 x)))> |
#<alt (* 1/3 (sqrt (/ 1 x)))> |
#<alt (* 1/3 (sqrt (/ 1 x)))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))> |
#<alt (* 1/3 (sqrt (/ 1 x)))> |
#<alt (* 1/3 (sqrt (/ 1 x)))> |
#<alt (* 1/3 (sqrt (/ 1 x)))> |
#<alt (* 1/3 (sqrt (/ 1 x)))> |
#<alt (* 1/3 (sqrt (/ 1 x)))> |
#<alt (* 1/3 (sqrt (/ 1 x)))> |
#<alt (* 1/3 (sqrt (/ 1 x)))> |
#<alt (* 1/3 (sqrt (/ 1 x)))> |
#<alt (* 1/3 (sqrt (/ 1 x)))> |
#<alt (* 1/3 (sqrt (/ 1 x)))> |
#<alt (* 1/3 (sqrt (/ 1 x)))> |
#<alt (* 1/3 (sqrt (/ 1 x)))> |
#<alt (* 3 (sqrt x))> |
#<alt (* 3 (sqrt x))> |
#<alt (* 3 (sqrt x))> |
#<alt (* 3 (sqrt x))> |
#<alt (* 3 (sqrt x))> |
#<alt (* 3 (sqrt x))> |
#<alt (* 3 (sqrt x))> |
#<alt (* 3 (sqrt x))> |
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* 1/3 (sqrt (/ 1 x)))> |
#<alt (/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x)> |
#<alt (/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x)> |
#<alt (/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x)> |
#<alt (* -3 (sqrt x))> |
#<alt (* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))))> |
#<alt (* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))))> |
#<alt (* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))))> |
#<alt (* 3 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))> |
#<alt (* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))> |
#<alt (* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))> |
#<alt (/ 1/3 x)> |
#<alt (/ (+ 1/3 (* -3 x)) x)> |
#<alt (/ (+ 1/3 (* -3 x)) x)> |
#<alt (/ (+ 1/3 (* -3 x)) x)> |
#<alt -3> |
#<alt (- (* 1/3 (/ 1 x)) 3)> |
#<alt (- (* 1/3 (/ 1 x)) 3)> |
#<alt (- (* 1/3 (/ 1 x)) 3)> |
#<alt -3> |
#<alt (- (* 1/3 (/ 1 x)) 3)> |
#<alt (- (* 1/3 (/ 1 x)) 3)> |
#<alt (- (* 1/3 (/ 1 x)) 3)> |
#<alt (/ 1/3 x)> |
#<alt (/ 1/3 x)> |
#<alt (/ 1/3 x)> |
#<alt (/ 1/3 x)> |
#<alt (/ 1/3 x)> |
#<alt (/ 1/3 x)> |
#<alt (/ 1/3 x)> |
#<alt (/ 1/3 x)> |
#<alt (/ 1/3 x)> |
#<alt (/ 1/3 x)> |
#<alt (/ 1/3 x)> |
#<alt (/ 1/3 x)> |
#<alt (* 1/3 (sqrt (/ 1 x)))> |
#<alt (/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x)> |
#<alt (/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x)> |
#<alt (/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x)> |
#<alt (* -3 (sqrt x))> |
#<alt (* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))))> |
#<alt (* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))))> |
#<alt (* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))))> |
#<alt (* 3 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))> |
#<alt (* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))> |
#<alt (* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))> |
#<alt (/ 1/9 x)> |
#<alt (/ (+ 1/9 (* -1 x)) x)> |
#<alt (/ (+ 1/9 (* -1 x)) x)> |
#<alt (/ (+ 1/9 (* -1 x)) x)> |
#<alt -1> |
#<alt (- (* 1/9 (/ 1 x)) 1)> |
#<alt (- (* 1/9 (/ 1 x)) 1)> |
#<alt (- (* 1/9 (/ 1 x)) 1)> |
#<alt -1> |
#<alt (- (* 1/9 (/ 1 x)) 1)> |
#<alt (- (* 1/9 (/ 1 x)) 1)> |
#<alt (- (* 1/9 (/ 1 x)) 1)> |
#<alt (/ 1/9 x)> |
#<alt (/ 1/9 x)> |
#<alt (/ 1/9 x)> |
#<alt (/ 1/9 x)> |
#<alt (/ 1/9 x)> |
#<alt (/ 1/9 x)> |
#<alt (/ 1/9 x)> |
#<alt (/ 1/9 x)> |
#<alt (/ 1/9 x)> |
#<alt (/ 1/9 x)> |
#<alt (/ 1/9 x)> |
#<alt (/ 1/9 x)> |
48 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (* (* (/ 1 (pow x -1/2)) (+ (+ y (/ 1/9 x)) -1)) 3) |
| 1.0ms | x | @ | -inf | (* (+ -1 (/ 1/9 x)) (* (sqrt x) 3)) |
| 0.0ms | x | @ | 0 | (pow x -1/2) |
| 0.0ms | x | @ | -inf | (* (sqrt x) (+ (/ 1/3 x) -3)) |
| 0.0ms | x | @ | -inf | (pow x -1/2) |
| 1× | batch-egg-rewrite |
| 4652× | /-lowering-/.f32 |
| 4652× | /-lowering-/.f64 |
| 3650× | *-lowering-*.f32 |
| 3650× | *-lowering-*.f64 |
| 1980× | +-lowering-+.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 75 |
| 1 | 148 | 72 |
| 2 | 1312 | 72 |
| 0 | 8152 | 72 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (* (/ 1 (pow x -1/2)) (+ (+ y (/ 1/9 x)) -1)) 3) |
(* (/ 1 (pow x -1/2)) (+ (+ y (/ 1/9 x)) -1)) |
(/ 1 (pow x -1/2)) |
(pow x -1/2) |
(* (pow x -1/2) 1/3) |
(/ 1 (* (sqrt x) 3)) |
(* (sqrt x) 3) |
(sqrt x) |
(* (sqrt x) (+ (/ 1/3 x) -3)) |
(+ (/ 1/3 x) -3) |
(/ 1/3 x) |
(* (+ -1 (/ 1/9 x)) (* (sqrt x) 3)) |
(+ -1 (/ 1/9 x)) |
(/ 1/9 x) |
| Outputs |
|---|
(+.f64 (*.f64 #s(literal 3 binary64) (/.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (pow.f64 x #s(literal -1/2 binary64)))) (/.f64 #s(literal -3 binary64) (pow.f64 x #s(literal -1/2 binary64)))) |
(+.f64 (*.f64 (/.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (pow.f64 x #s(literal -1/2 binary64))) #s(literal 3 binary64)) (/.f64 #s(literal -3 binary64) (pow.f64 x #s(literal -1/2 binary64)))) |
(fma.f64 #s(literal 3 binary64) (/.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal -3 binary64) (pow.f64 x #s(literal -1/2 binary64)))) |
(fma.f64 (/.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (pow.f64 x #s(literal -1/2 binary64))) #s(literal 3 binary64) (/.f64 #s(literal -3 binary64) (pow.f64 x #s(literal -1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) #s(literal 3 binary64)))) |
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(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal 1/9 binary64) x)) (*.f64 (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal 1/9 binary64) x))) (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64))) (*.f64 (*.f64 (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal 1/9 binary64) x)) (*.f64 (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64))) (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal 1/9 binary64) x)) (*.f64 (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal 1/9 binary64) x))) (*.f64 (*.f64 (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal 1/9 binary64) x)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/9 binary64) x) (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -1/2 binary64)))) #s(literal 3 binary64)) (/.f64 #s(literal -27 binary64) (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64)))) (+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/9 binary64) x) (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -1/2 binary64)))) (*.f64 (/.f64 #s(literal 1/9 binary64) x) (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -1/2 binary64))))) (-.f64 (pow.f64 (/.f64 #s(literal -3 binary64) (pow.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1/9 binary64) x) (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -1/2 binary64)))) (/.f64 #s(literal -3 binary64) (pow.f64 x #s(literal -1/2 binary64))))))) |
(*.f64 #s(literal 3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (pow.f64 x #s(literal -1/2 binary64)))) |
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -1/2 binary64))) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (pow.f64 x #s(literal -1/2 binary64))) #s(literal 3 binary64)) |
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) |
(+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/9 binary64) x))) (/.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/9 binary64) x)))) |
(-.f64 (/.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) |
(fma.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) |
(fma.f64 #s(literal -1/9 binary64) (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 x x)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))))) |
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (/.f64 x #s(literal 1/9 binary64))))) |
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 x x)))) (+.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/81 binary64) (*.f64 x x))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/9 binary64) x))) |
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 x x))))) (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (/.f64 x #s(literal 1/9 binary64)))))) |
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 x x))))) (neg.f64 (+.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/81 binary64) (*.f64 x x)))) (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/9 binary64) x)))) |
(/.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/9 binary64) x))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 #s(literal 1/81 binary64) (*.f64 x x)))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/9 binary64) x)))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 x x)))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (/.f64 x #s(literal 1/9 binary64))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/81 binary64) (*.f64 x x))))) (neg.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/9 binary64) x))))) |
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) #s(literal 1 binary64))) (neg.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/9 binary64) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/9 binary64) x))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/9 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/9 binary64) x)))) (+.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/9 binary64) x))) (/.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/9 binary64) x)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/9 binary64) x))) (/.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/9 binary64) x))))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (/.f64 x #s(literal 1/9 binary64)))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/81 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/9 binary64) x)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 x #s(literal 1/9 binary64))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 #s(literal -1/9 binary64) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 x #s(literal 1/9 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 x #s(literal 1/9 binary64))))) |
(/.f64 #s(literal 1/9 binary64) x) |
(/.f64 #s(literal 1/9 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x #s(literal 1/9 binary64)))) |
(/.f64 #s(literal -1/9 binary64) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 #s(literal -1/9 binary64) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)))) |
(pow.f64 (/.f64 x #s(literal 1/9 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) |
(*.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 #s(literal -1/9 binary64) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64)) |
| 1× | egg-herbie |
| 4994× | *-lowering-*.f32 |
| 4994× | *-lowering-*.f64 |
| 2304× | +-lowering-+.f64 |
| 2304× | +-lowering-+.f32 |
| 1614× | fnmadd-define |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 97 | 1324 |
| 1 | 285 | 1280 |
| 2 | 961 | 1257 |
| 3 | 3108 | 1241 |
| 0 | 8294 | 1241 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/3 (sqrt (/ 1 x))) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(* 3 (* (sqrt x) (- y 1))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(* -3 (* (sqrt x) (- y 1))) |
(* -1 (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))) |
(* -1 (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))) |
(* -1 (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))) |
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(* 3 (* (sqrt x) y)) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(* 3 (* (sqrt x) y)) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* 1/9 (sqrt (/ 1 x))) |
(/ (+ (* 1/9 (sqrt x)) (* (sqrt (pow x 3)) (- y 1))) x) |
(/ (+ (* 1/9 (sqrt x)) (* (sqrt (pow x 3)) (- y 1))) x) |
(/ (+ (* 1/9 (sqrt x)) (* (sqrt (pow x 3)) (- y 1))) x) |
(* (sqrt x) (- y 1)) |
(* x (+ (* 1/9 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- y 1)))) |
(* x (+ (* 1/9 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- y 1)))) |
(* x (+ (* 1/9 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- y 1)))) |
(* -1 (* (sqrt x) (- y 1))) |
(* -1 (* x (+ (* 1/9 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- y 1))))) |
(* -1 (* x (+ (* 1/9 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- y 1))))) |
(* -1 (* x (+ (* 1/9 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- y 1))))) |
(* (sqrt x) (- (* 1/9 (/ 1 x)) 1)) |
(+ (* (sqrt x) y) (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) |
(+ (* (sqrt x) y) (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) |
(+ (* (sqrt x) y) (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) |
(* (sqrt x) y) |
(* y (+ (sqrt x) (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))) |
(* y (+ (sqrt x) (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))) |
(* y (+ (sqrt x) (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))) |
(* (sqrt x) y) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(* -1 (sqrt x)) |
(* -1 (sqrt x)) |
(* -1 (sqrt x)) |
(* -1 (sqrt x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(* 1/3 (sqrt (/ 1 x))) |
(* 1/3 (sqrt (/ 1 x))) |
(* 1/3 (sqrt (/ 1 x))) |
(* 1/3 (sqrt (/ 1 x))) |
(* 1/3 (sqrt (/ 1 x))) |
(* 1/3 (sqrt (/ 1 x))) |
(* 1/3 (sqrt (/ 1 x))) |
(* 1/3 (sqrt (/ 1 x))) |
(* 1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(* 1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(* 1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(* 1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(* 1/3 (sqrt (/ 1 x))) |
(* 1/3 (sqrt (/ 1 x))) |
(* 1/3 (sqrt (/ 1 x))) |
(* 1/3 (sqrt (/ 1 x))) |
(* 1/3 (sqrt (/ 1 x))) |
(* 1/3 (sqrt (/ 1 x))) |
(* 1/3 (sqrt (/ 1 x))) |
(* 1/3 (sqrt (/ 1 x))) |
(* 1/3 (sqrt (/ 1 x))) |
(* 1/3 (sqrt (/ 1 x))) |
(* 1/3 (sqrt (/ 1 x))) |
(* 1/3 (sqrt (/ 1 x))) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* 1/3 (sqrt (/ 1 x))) |
(/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x) |
(/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x) |
(/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x) |
(* -3 (sqrt x)) |
(* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3)))))) |
(* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3)))))) |
(* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3)))))) |
(* 3 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))) |
(/ 1/3 x) |
(/ (+ 1/3 (* -3 x)) x) |
(/ (+ 1/3 (* -3 x)) x) |
(/ (+ 1/3 (* -3 x)) x) |
-3 |
(- (* 1/3 (/ 1 x)) 3) |
(- (* 1/3 (/ 1 x)) 3) |
(- (* 1/3 (/ 1 x)) 3) |
-3 |
(- (* 1/3 (/ 1 x)) 3) |
(- (* 1/3 (/ 1 x)) 3) |
(- (* 1/3 (/ 1 x)) 3) |
(/ 1/3 x) |
(/ 1/3 x) |
(/ 1/3 x) |
(/ 1/3 x) |
(/ 1/3 x) |
(/ 1/3 x) |
(/ 1/3 x) |
(/ 1/3 x) |
(/ 1/3 x) |
(/ 1/3 x) |
(/ 1/3 x) |
(/ 1/3 x) |
(* 1/3 (sqrt (/ 1 x))) |
(/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x) |
(/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x) |
(/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x) |
(* -3 (sqrt x)) |
(* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3)))))) |
(* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3)))))) |
(* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3)))))) |
(* 3 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))) |
(/ 1/9 x) |
(/ (+ 1/9 (* -1 x)) x) |
(/ (+ 1/9 (* -1 x)) x) |
(/ (+ 1/9 (* -1 x)) x) |
-1 |
(- (* 1/9 (/ 1 x)) 1) |
(- (* 1/9 (/ 1 x)) 1) |
(- (* 1/9 (/ 1 x)) 1) |
-1 |
(- (* 1/9 (/ 1 x)) 1) |
(- (* 1/9 (/ 1 x)) 1) |
(- (* 1/9 (/ 1 x)) 1) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
| Outputs |
|---|
(* 1/3 (sqrt (/ 1 x))) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(/.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 3 binary64) y)))) x) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(/.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 3 binary64) y)))) x) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(/.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 3 binary64) y)))) x) |
(* 3 (* (sqrt x) (- y 1))) |
(*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 3 binary64) y))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(*.f64 x (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 3 binary64) y))))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(*.f64 x (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 3 binary64) y))))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(*.f64 x (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 3 binary64) y))))) |
(* -3 (* (sqrt x) (- y 1))) |
(*.f64 (sqrt.f64 x) (*.f64 (+.f64 y #s(literal -1 binary64)) #s(literal -3 binary64))) |
(* -1 (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))) |
(*.f64 x (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal -1/3 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 y #s(literal -1 binary64)) #s(literal -3 binary64))))) |
(* -1 (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))) |
(*.f64 x (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal -1/3 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 y #s(literal -1 binary64)) #s(literal -3 binary64))))) |
(* -1 (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))) |
(*.f64 x (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal -1/3 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 y #s(literal -1 binary64)) #s(literal -3 binary64))))) |
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) |
(*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/9 binary64) x)))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 y (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 y (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 y (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)))) |
(* 3 (* (sqrt x) y)) |
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y)) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 y (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)))) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 y (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)))) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 y (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)))) |
(* 3 (* (sqrt x) y)) |
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y)) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 y (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 y (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 y (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)))) |
(* 1/9 (sqrt (/ 1 x))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/9 binary64)) |
(/ (+ (* 1/9 (sqrt x)) (* (sqrt (pow x 3)) (- y 1))) x) |
(/.f64 (+.f64 (*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (+.f64 y #s(literal -1 binary64))) (*.f64 (sqrt.f64 x) #s(literal 1/9 binary64))) x) |
(/ (+ (* 1/9 (sqrt x)) (* (sqrt (pow x 3)) (- y 1))) x) |
(/.f64 (+.f64 (*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (+.f64 y #s(literal -1 binary64))) (*.f64 (sqrt.f64 x) #s(literal 1/9 binary64))) x) |
(/ (+ (* 1/9 (sqrt x)) (* (sqrt (pow x 3)) (- y 1))) x) |
(/.f64 (+.f64 (*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (+.f64 y #s(literal -1 binary64))) (*.f64 (sqrt.f64 x) #s(literal 1/9 binary64))) x) |
(* (sqrt x) (- y 1)) |
(*.f64 (sqrt.f64 x) (+.f64 y #s(literal -1 binary64))) |
(* x (+ (* 1/9 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- y 1)))) |
(*.f64 x (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 y #s(literal -1 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1/9 binary64)))) |
(* x (+ (* 1/9 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- y 1)))) |
(*.f64 x (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 y #s(literal -1 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1/9 binary64)))) |
(* x (+ (* 1/9 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- y 1)))) |
(*.f64 x (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 y #s(literal -1 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1/9 binary64)))) |
(* -1 (* (sqrt x) (- y 1))) |
(*.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) y)) |
(* -1 (* x (+ (* 1/9 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- y 1))))) |
(*.f64 x (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) y)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal -1/9 binary64)))) |
(* -1 (* x (+ (* 1/9 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- y 1))))) |
(*.f64 x (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) y)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal -1/9 binary64)))) |
(* -1 (* x (+ (* 1/9 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- y 1))))) |
(*.f64 x (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) y)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal -1/9 binary64)))) |
(* (sqrt x) (- (* 1/9 (/ 1 x)) 1)) |
(*.f64 (sqrt.f64 x) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x))) |
(+ (* (sqrt x) y) (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) |
(*.f64 (sqrt.f64 x) (+.f64 y (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)))) |
(+ (* (sqrt x) y) (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) |
(*.f64 (sqrt.f64 x) (+.f64 y (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)))) |
(+ (* (sqrt x) y) (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) |
(*.f64 (sqrt.f64 x) (+.f64 y (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)))) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* y (+ (sqrt x) (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))) |
(*.f64 (sqrt.f64 x) (+.f64 y (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)))) |
(* y (+ (sqrt x) (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))) |
(*.f64 (sqrt.f64 x) (+.f64 y (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)))) |
(* y (+ (sqrt x) (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))) |
(*.f64 (sqrt.f64 x) (+.f64 y (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)))) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(*.f64 (sqrt.f64 x) (+.f64 y (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)))) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(*.f64 (sqrt.f64 x) (+.f64 y (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)))) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(*.f64 (sqrt.f64 x) (+.f64 y (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)))) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(* -1 (sqrt x)) |
(-.f64 #s(literal 0 binary64) (sqrt.f64 x)) |
(* -1 (sqrt x)) |
(-.f64 #s(literal 0 binary64) (sqrt.f64 x)) |
(* -1 (sqrt x)) |
(-.f64 #s(literal 0 binary64) (sqrt.f64 x)) |
(* -1 (sqrt x)) |
(-.f64 #s(literal 0 binary64) (sqrt.f64 x)) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* 1/3 (sqrt (/ 1 x))) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* 1/3 (sqrt (/ 1 x))) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* 1/3 (sqrt (/ 1 x))) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* 1/3 (sqrt (/ 1 x))) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* 1/3 (sqrt (/ 1 x))) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* 1/3 (sqrt (/ 1 x))) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* 1/3 (sqrt (/ 1 x))) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* 1/3 (sqrt (/ 1 x))) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* 1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/3 binary64)) |
(* 1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/3 binary64)) |
(* 1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/3 binary64)) |
(* 1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/3 binary64)) |
(* 1/3 (sqrt (/ 1 x))) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* 1/3 (sqrt (/ 1 x))) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* 1/3 (sqrt (/ 1 x))) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* 1/3 (sqrt (/ 1 x))) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* 1/3 (sqrt (/ 1 x))) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* 1/3 (sqrt (/ 1 x))) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* 1/3 (sqrt (/ 1 x))) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* 1/3 (sqrt (/ 1 x))) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* 1/3 (sqrt (/ 1 x))) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* 1/3 (sqrt (/ 1 x))) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* 1/3 (sqrt (/ 1 x))) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* 1/3 (sqrt (/ 1 x))) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* 3 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(* 3 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(* 3 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(* 3 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(* 3 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(* 3 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(* 3 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(* 3 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* 1/3 (sqrt (/ 1 x))) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x) |
(/.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) #s(literal -3 binary64))) x) |
(/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x) |
(/.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) #s(literal -3 binary64))) x) |
(/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x) |
(/.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) #s(literal -3 binary64))) x) |
(* -3 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal -3 binary64)) |
(* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3)))))) |
(*.f64 x (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64)))) |
(* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3)))))) |
(*.f64 x (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64)))) |
(* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3)))))) |
(*.f64 x (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64)))) |
(* 3 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 (sqrt.f64 x) #s(literal -3 binary64)) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))) |
(*.f64 x (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64)))) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))) |
(*.f64 x (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64)))) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))) |
(*.f64 x (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64)))) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ (+ 1/3 (* -3 x)) x) |
(/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -3 binary64))) x) |
(/ (+ 1/3 (* -3 x)) x) |
(/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -3 binary64))) x) |
(/ (+ 1/3 (* -3 x)) x) |
(/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -3 binary64))) x) |
-3 |
#s(literal -3 binary64) |
(- (* 1/3 (/ 1 x)) 3) |
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) |
(- (* 1/3 (/ 1 x)) 3) |
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) |
(- (* 1/3 (/ 1 x)) 3) |
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) |
-3 |
#s(literal -3 binary64) |
(- (* 1/3 (/ 1 x)) 3) |
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) |
(- (* 1/3 (/ 1 x)) 3) |
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) |
(- (* 1/3 (/ 1 x)) 3) |
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(* 1/3 (sqrt (/ 1 x))) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x) |
(/.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) #s(literal -3 binary64))) x) |
(/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x) |
(/.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) #s(literal -3 binary64))) x) |
(/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x) |
(/.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) #s(literal -3 binary64))) x) |
(* -3 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal -3 binary64)) |
(* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3)))))) |
(*.f64 x (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64)))) |
(* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3)))))) |
(*.f64 x (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64)))) |
(* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3)))))) |
(*.f64 x (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64)))) |
(* 3 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 (sqrt.f64 x) #s(literal -3 binary64)) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))) |
(*.f64 x (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64)))) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))) |
(*.f64 x (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64)))) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))) |
(*.f64 x (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64)))) |
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
(/ (+ 1/9 (* -1 x)) x) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)) |
(/ (+ 1/9 (* -1 x)) x) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)) |
(/ (+ 1/9 (* -1 x)) x) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)) |
-1 |
#s(literal -1 binary64) |
(- (* 1/9 (/ 1 x)) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)) |
(- (* 1/9 (/ 1 x)) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)) |
(- (* 1/9 (/ 1 x)) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)) |
-1 |
#s(literal -1 binary64) |
(- (* 1/9 (/ 1 x)) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)) |
(- (* 1/9 (/ 1 x)) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)) |
(- (* 1/9 (/ 1 x)) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)) |
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
Compiled 21593 to 2520 computations (88.3% saved)
23 alts after pruning (18 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1225 | 6 | 1231 |
| Fresh | 10 | 12 | 22 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 2 | 2 |
| Total | 1237 | 23 | 1260 |
| Status | Accuracy | Program |
|---|---|---|
| 35.5% | (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64)) | |
| 62.4% | (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (pow.f64 x #s(literal -1/2 binary64))) | |
| 99.4% | (/.f64 (+.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) | |
| 38.7% | (/.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) | |
| 35.4% | (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64))) | |
| ✓ | 35.4% | (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
| ✓ | 35.4% | (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) |
| 99.4% | (*.f64 (/.f64 (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) (pow.f64 x #s(literal -1/2 binary64))) #s(literal 3 binary64)) | |
| 38.7% | (*.f64 (/.f64 x (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64))) y) | |
| 35.4% | (*.f64 (/.f64 #s(literal 1/3 binary64) x) (sqrt.f64 x)) | |
| ✓ | 62.3% | (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
| 62.3% | (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))) | |
| 2.3% | (*.f64 (*.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)) | |
| 64.5% | (*.f64 (*.f64 (sqrt.f64 x) (+.f64 y #s(literal -1 binary64))) #s(literal 3 binary64)) | |
| 64.5% | (*.f64 (*.f64 (sqrt.f64 x) y) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal -3 binary64) y))) | |
| 38.7% | (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) | |
| ✓ | 38.7% | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y) |
| 14.5% | (*.f64 (sqrt.f64 x) (/.f64 (*.f64 x (*.f64 (*.f64 y y) #s(literal 27 binary64))) (*.f64 (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 3 binary64)) (/.f64 x #s(literal 1/3 binary64))))) | |
| ✓ | 62.3% | (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))) |
| 72.3% | (*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) (/.f64 #s(literal 1/3 binary64) x))) | |
| 64.5% | (*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64))) | |
| 28.3% | (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) | |
| 58.9% | (*.f64 y (*.f64 (sqrt.f64 x) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal -3 binary64) y)))) |
Compiled 1148 to 399 computations (65.2% saved)
| Inputs |
|---|
(*.f64 (sqrt.f64 x) #s(literal -3 binary64)) |
(/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) |
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64)) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y)) |
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y)) |
(*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) x)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/3 binary64)) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y) |
(*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x)) |
(*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) x) (sqrt.f64 x)) |
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) y) |
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64))) |
(/.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) |
(/.f64 (sqrt.f64 x) (/.f64 x #s(literal 1/3 binary64))) |
(/.f64 (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) x) |
(*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64))) |
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x)) |
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (*.f64 (sqrt.f64 x) (+.f64 y #s(literal -1 binary64))) #s(literal 3 binary64)) |
(*.f64 (*.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)) |
(*.f64 (/.f64 x (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64))) y) |
(*.f64 (/.f64 (sqrt.f64 x) (/.f64 x #s(literal 1/9 binary64))) #s(literal 3 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)))) |
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (pow.f64 x #s(literal -1/2 binary64))) |
(*.f64 y (*.f64 (sqrt.f64 x) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal -3 binary64) y)))) |
(*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) (/.f64 #s(literal 1/3 binary64) x))) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) |
(*.f64 (*.f64 (sqrt.f64 x) y) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal -3 binary64) y))) |
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
(*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))) |
(*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) |
(*.f64 (sqrt.f64 x) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -27 binary64)))) x)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -27 binary64))))) |
(*.f64 (*.f64 (sqrt.f64 x) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))) #s(literal 3 binary64)) |
(*.f64 (*.f64 (sqrt.f64 x) (+.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64))) #s(literal 3 binary64)) |
(*.f64 (*.f64 (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) #s(literal 3 binary64)) (sqrt.f64 x)) |
(*.f64 (*.f64 (+.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) |
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) (+.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64))) |
(/.f64 (+.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) |
(*.f64 (/.f64 (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) (pow.f64 x #s(literal -1/2 binary64))) #s(literal 3 binary64)) |
(*.f64 y (*.f64 (sqrt.f64 x) (+.f64 #s(literal 3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) y)))) |
(*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 #s(literal -3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64))))) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) #s(literal 1 binary64))) |
(/.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (+.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64))) #s(literal 3 binary64)) |
(*.f64 (sqrt.f64 x) (/.f64 (+.f64 #s(literal -9 binary64) (*.f64 y (*.f64 y #s(literal 9 binary64)))) (+.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 #s(literal -3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64))))) |
(*.f64 (sqrt.f64 x) (/.f64 (*.f64 x (*.f64 (*.f64 y y) #s(literal 27 binary64))) (*.f64 (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 3 binary64)) (/.f64 x #s(literal 1/3 binary64))))) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (*.f64 (-.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 81 binary64)) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y))) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)))) (-.f64 #s(literal -1 binary64) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))))) |
(*.f64 (sqrt.f64 x) (/.f64 (+.f64 (*.f64 (+.f64 (*.f64 #s(literal 9 binary64) (*.f64 y y)) #s(literal -9 binary64)) x) (*.f64 (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))) (*.f64 (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 3 binary64)) x))) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))) (/.f64 (+.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) (*.f64 (+.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) #s(literal -1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))) |
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 y y)) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) (sqrt.f64 x)) (+.f64 (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 3 binary64)) (/.f64 #s(literal -1/3 binary64) x))) |
(*.f64 (sqrt.f64 x) (/.f64 (+.f64 (*.f64 (+.f64 (*.f64 #s(literal 9 binary64) (*.f64 y y)) #s(literal -9 binary64)) (/.f64 x #s(literal 1/3 binary64))) (*.f64 (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 3 binary64)) (/.f64 x #s(literal 1/3 binary64))))) |
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 y y)) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 3 binary64)) (/.f64 #s(literal -1/3 binary64) x)))) |
(*.f64 (sqrt.f64 x) (/.f64 (+.f64 (*.f64 (+.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal 27 binary64)) #s(literal -27 binary64)) x) (*.f64 (+.f64 (*.f64 #s(literal 9 binary64) (*.f64 y y)) (-.f64 #s(literal 9 binary64) (*.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64)))) #s(literal 1/3 binary64))) (*.f64 (+.f64 (*.f64 #s(literal 9 binary64) (*.f64 y y)) (-.f64 #s(literal 9 binary64) (*.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64)))) x))) |
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal 27 binary64)) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))) (sqrt.f64 x)) (+.f64 (*.f64 #s(literal 9 binary64) (*.f64 y y)) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (-.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 #s(literal 3 binary64) y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 9 binary64) (*.f64 y y)) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (-.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 #s(literal 3 binary64) y)))) (*.f64 (+.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal 27 binary64)) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))) (sqrt.f64 x)))) |
(/.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64)))) x) |
| Outputs |
|---|
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
3 calls:
| 25.0ms | y |
| 22.0ms | x |
| 18.0ms | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.4% | 1 | x |
| 99.4% | 1 | y |
| 99.4% | 1 | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
Compiled 22 to 16 computations (27.3% saved)
| Inputs |
|---|
(*.f64 (sqrt.f64 x) #s(literal -3 binary64)) |
(/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) |
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64)) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y)) |
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y)) |
(*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) x)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/3 binary64)) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y) |
(*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x)) |
(*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) x) (sqrt.f64 x)) |
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) y) |
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64))) |
(/.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) |
(/.f64 (sqrt.f64 x) (/.f64 x #s(literal 1/3 binary64))) |
(/.f64 (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) x) |
(*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64))) |
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x)) |
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (*.f64 (sqrt.f64 x) (+.f64 y #s(literal -1 binary64))) #s(literal 3 binary64)) |
(*.f64 (*.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)) |
(*.f64 (/.f64 x (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64))) y) |
(*.f64 (/.f64 (sqrt.f64 x) (/.f64 x #s(literal 1/9 binary64))) #s(literal 3 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)))) |
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (pow.f64 x #s(literal -1/2 binary64))) |
(*.f64 y (*.f64 (sqrt.f64 x) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal -3 binary64) y)))) |
(*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) (/.f64 #s(literal 1/3 binary64) x))) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) |
(*.f64 (*.f64 (sqrt.f64 x) y) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal -3 binary64) y))) |
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
(*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))) |
(*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) |
(*.f64 (sqrt.f64 x) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -27 binary64)))) x)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -27 binary64))))) |
(*.f64 (*.f64 (sqrt.f64 x) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))) #s(literal 3 binary64)) |
(*.f64 (*.f64 (sqrt.f64 x) (+.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64))) #s(literal 3 binary64)) |
(*.f64 (*.f64 (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) #s(literal 3 binary64)) (sqrt.f64 x)) |
(*.f64 (*.f64 (+.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) |
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) (+.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64))) |
(/.f64 (+.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) |
(*.f64 (/.f64 (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) (pow.f64 x #s(literal -1/2 binary64))) #s(literal 3 binary64)) |
(*.f64 y (*.f64 (sqrt.f64 x) (+.f64 #s(literal 3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) y)))) |
(*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 #s(literal -3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64))))) |
| Outputs |
|---|
(*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) |
2 calls:
| 17.0ms | y |
| 14.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.4% | 1 | x |
| 99.4% | 1 | y |
Compiled 6 to 4 computations (33.3% saved)
| Inputs |
|---|
(*.f64 (sqrt.f64 x) #s(literal -3 binary64)) |
(/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) |
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64)) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y)) |
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y)) |
(*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) x)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/3 binary64)) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y) |
(*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x)) |
(*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) x) (sqrt.f64 x)) |
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) y) |
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64))) |
(/.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) |
(/.f64 (sqrt.f64 x) (/.f64 x #s(literal 1/3 binary64))) |
(/.f64 (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) x) |
(*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64))) |
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x)) |
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (*.f64 (sqrt.f64 x) (+.f64 y #s(literal -1 binary64))) #s(literal 3 binary64)) |
(*.f64 (*.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)) |
(*.f64 (/.f64 x (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64))) y) |
(*.f64 (/.f64 (sqrt.f64 x) (/.f64 x #s(literal 1/9 binary64))) #s(literal 3 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)))) |
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (pow.f64 x #s(literal -1/2 binary64))) |
(*.f64 y (*.f64 (sqrt.f64 x) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal -3 binary64) y)))) |
(*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) (/.f64 #s(literal 1/3 binary64) x))) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) |
(*.f64 (*.f64 (sqrt.f64 x) y) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal -3 binary64) y))) |
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
(*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))) |
| Outputs |
|---|
(*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) (/.f64 #s(literal 1/3 binary64) x))) |
(*.f64 (*.f64 (sqrt.f64 x) (+.f64 y #s(literal -1 binary64))) #s(literal 3 binary64)) |
2 calls:
| 12.0ms | x |
| 10.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.7% | 2 | x |
| 98.9% | 3 | y |
Compiled 6 to 4 computations (33.3% saved)
| Inputs |
|---|
(*.f64 (sqrt.f64 x) #s(literal -3 binary64)) |
(/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) |
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64)) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y)) |
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y)) |
(*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) x)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/3 binary64)) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y) |
(*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x)) |
(*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) x) (sqrt.f64 x)) |
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) y) |
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64))) |
(/.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) |
(/.f64 (sqrt.f64 x) (/.f64 x #s(literal 1/3 binary64))) |
(/.f64 (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) x) |
(*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64))) |
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x)) |
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (*.f64 (sqrt.f64 x) (+.f64 y #s(literal -1 binary64))) #s(literal 3 binary64)) |
(*.f64 (*.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)) |
(*.f64 (/.f64 x (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64))) y) |
(*.f64 (/.f64 (sqrt.f64 x) (/.f64 x #s(literal 1/9 binary64))) #s(literal 3 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)))) |
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (pow.f64 x #s(literal -1/2 binary64))) |
(*.f64 y (*.f64 (sqrt.f64 x) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal -3 binary64) y)))) |
| Outputs |
|---|
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64)) |
(*.f64 (*.f64 (sqrt.f64 x) (+.f64 y #s(literal -1 binary64))) #s(literal 3 binary64)) |
2 calls:
| 11.0ms | x |
| 9.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.3% | 3 | y |
| 88.0% | 2 | x |
Compiled 6 to 4 computations (33.3% saved)
| Inputs |
|---|
(*.f64 (sqrt.f64 x) #s(literal -3 binary64)) |
(/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) |
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64)) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y)) |
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y)) |
(*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) x)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/3 binary64)) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y) |
(*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x)) |
(*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) x) (sqrt.f64 x)) |
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) y) |
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64))) |
(/.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) |
(/.f64 (sqrt.f64 x) (/.f64 x #s(literal 1/3 binary64))) |
(/.f64 (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) x) |
(*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64))) |
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x)) |
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) x)) |
| Outputs |
|---|
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64)) |
(*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64))) |
1 calls:
| 87.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.0% | 2 | x |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
(*.f64 (sqrt.f64 x) #s(literal -3 binary64)) |
(/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) |
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64)) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y)) |
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y)) |
(*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) x)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/3 binary64)) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y) |
(*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x)) |
(*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) x) (sqrt.f64 x)) |
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) y) |
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64))) |
(/.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) |
(/.f64 (sqrt.f64 x) (/.f64 x #s(literal 1/3 binary64))) |
(/.f64 (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) x) |
| Outputs |
|---|
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64)) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y) |
(*.f64 (sqrt.f64 x) #s(literal -3 binary64)) |
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y)) |
(*.f64 (sqrt.f64 x) #s(literal -3 binary64)) |
2 calls:
| 6.0ms | y |
| 6.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 67.8% | 5 | y |
| 71.8% | 5 | x |
Compiled 6 to 4 computations (33.3% saved)
| Inputs |
|---|
(*.f64 (sqrt.f64 x) #s(literal -3 binary64)) |
(/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) |
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64)) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y)) |
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y)) |
(*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) x)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/3 binary64)) |
| Outputs |
|---|
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64)) |
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y)) |
(*.f64 (sqrt.f64 x) #s(literal -3 binary64)) |
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y)) |
(*.f64 (sqrt.f64 x) #s(literal -3 binary64)) |
1 calls:
| 4.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 71.8% | 5 | x |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
(*.f64 (sqrt.f64 x) #s(literal -3 binary64)) |
(/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) |
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64)) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y)) |
| Outputs |
|---|
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64)) |
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y)) |
(*.f64 (sqrt.f64 x) #s(literal -3 binary64)) |
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y)) |
(*.f64 (sqrt.f64 x) #s(literal -3 binary64)) |
1 calls:
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 71.8% | 5 | x |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
(*.f64 (sqrt.f64 x) #s(literal -3 binary64)) |
(/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) |
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64)) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
| Outputs |
|---|
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64)) |
(*.f64 (sqrt.f64 x) #s(literal -3 binary64)) |
2 calls:
| 2.0ms | y |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 42.2% | 3 | y |
| 61.7% | 2 | x |
Compiled 6 to 4 computations (33.3% saved)
| Inputs |
|---|
(*.f64 (sqrt.f64 x) #s(literal -3 binary64)) |
(/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) |
| Outputs |
|---|
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) |
(*.f64 (sqrt.f64 x) #s(literal -3 binary64)) |
1 calls:
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 61.7% | 2 | x |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
(*.f64 (sqrt.f64 x) #s(literal -3 binary64)) |
(/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) |
| Outputs |
|---|
(/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) #s(literal -3 binary64)) |
1 calls:
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 61.7% | 2 | x |
Compiled 3 to 2 computations (33.3% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
(*.f64 (sqrt.f64 x) #s(literal -3 binary64)) |
| Outputs |
|---|
(*.f64 (sqrt.f64 x) #s(literal -3 binary64)) |
2 calls:
| 1.0ms | y |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 28.3% | 1 | y |
| 28.3% | 1 | x |
Compiled 6 to 4 computations (33.3% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 17.0ms | 5.2474630871563985e-6 | 0.004302358781171705 |
| 13.0ms | 128× | 0 | valid |
Compiled 213 to 168 computations (21.1% saved)
ival-mult: 3.0ms (36.9% of total)ival-sqrt: 3.0ms (36.9% of total)ival-div: 1.0ms (12.3% of total)ival-sub: 1.0ms (12.3% of total)ival-add: 1.0ms (12.3% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 7.0ms | 1.6734411365660498e-49 | 3.1723329337794592e-49 |
| 5.0ms | 64× | 0 | valid |
Compiled 97 to 80 computations (17.5% saved)
ival-mult: 1.0ms (33.4% of total)ival-sqrt: 1.0ms (33.4% of total)ival-div: 0.0ms (0% of total)ival-sub: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 8.0ms | 1.6734411365660498e-49 | 3.1723329337794592e-49 |
| 5.0ms | 64× | 0 | valid |
Compiled 97 to 80 computations (17.5% saved)
ival-mult: 1.0ms (32.8% of total)ival-sqrt: 1.0ms (32.8% of total)ival-div: 0.0ms (0% of total)ival-sub: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 4× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 21.0ms | 5.953970777352757e+189 | 6.308517466108885e+205 |
| 11.0ms | 3.1694466688623696e+106 | 1.317328284162922e+107 |
| 17.0ms | 4.179067908638892e+29 | 9.492973317579065e+32 |
| 8.0ms | 1.6734411365660498e-49 | 3.1723329337794592e-49 |
| 42.0ms | 448× | 0 | valid |
Compiled 473 to 384 computations (18.8% saved)
ival-mult: 10.0ms (40.7% of total)ival-div: 5.0ms (20.3% of total)ival-sqrt: 4.0ms (16.3% of total)ival-sub: 2.0ms (8.1% of total)ival-add: 2.0ms (8.1% of total)const: 1.0ms (4.1% of total)backward-pass: 0.0ms (0% of total)| 4× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 243.0ms | 5.953970777352757e+189 | 6.308517466108885e+205 |
| 11.0ms | 3.1694466688623696e+106 | 1.317328284162922e+107 |
| 17.0ms | 4.179067908638892e+29 | 9.492973317579065e+32 |
| 8.0ms | 1.6734411365660498e-49 | 3.1723329337794592e-49 |
| 264.0ms | 448× | 0 | valid |
Compiled 473 to 384 computations (18.8% saved)
ival-mult: 9.0ms (37.8% of total)ival-sqrt: 6.0ms (25.2% of total)ival-div: 3.0ms (12.6% of total)ival-sub: 2.0ms (8.4% of total)ival-add: 2.0ms (8.4% of total)const: 1.0ms (4.2% of total)backward-pass: 0.0ms (0% of total)| 4× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 33.0ms | 5.953970777352757e+189 | 6.308517466108885e+205 |
| 27.0ms | 3.1694466688623696e+106 | 1.317328284162922e+107 |
| 15.0ms | 4.179067908638892e+29 | 9.492973317579065e+32 |
| 8.0ms | 1.6734411365660498e-49 | 3.1723329337794592e-49 |
| 67.0ms | 448× | 0 | valid |
Compiled 473 to 384 computations (18.8% saved)
ival-mult: 9.0ms (40.9% of total)ival-sqrt: 4.0ms (18.2% of total)ival-div: 3.0ms (13.6% of total)ival-sub: 2.0ms (9.1% of total)ival-add: 2.0ms (9.1% of total)const: 1.0ms (4.5% of total)backward-pass: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 16.0ms | 5.2474630871563985e-6 | 0.004302358781171705 |
| 11.0ms | 128× | 0 | valid |
Compiled 141 to 120 computations (14.9% saved)
ival-mult: 3.0ms (45.5% of total)ival-div: 1.0ms (15.2% of total)ival-sub: 1.0ms (15.2% of total)ival-add: 1.0ms (15.2% of total)ival-sqrt: 1.0ms (15.2% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 31.0ms | 5.2474630871563985e-6 | 0.004302358781171705 |
| 11.0ms | 128× | 0 | valid |
Compiled 141 to 120 computations (14.9% saved)
ival-mult: 3.0ms (46.6% of total)ival-div: 1.0ms (15.5% of total)ival-sub: 1.0ms (15.5% of total)ival-add: 1.0ms (15.5% of total)ival-sqrt: 1.0ms (15.5% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 5.2474630871563985e-6 | 0.004302358781171705 |
| 11.0ms | 128× | 0 | valid |
Compiled 133 to 112 computations (15.8% saved)
ival-mult: 3.0ms (48.6% of total)ival-div: 1.0ms (16.2% of total)ival-sub: 1.0ms (16.2% of total)ival-add: 1.0ms (16.2% of total)ival-sqrt: 1.0ms (16.2% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 1× | egg-herbie |
| 32× | *-commutative_binary64 |
| 16× | +-commutative_binary64 |
| 8× | if-if-or-not_binary32 |
| 4× | not-or_bool |
| 4× | sub-neg_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 79 | 238 |
| 1 | 114 | 233 |
| 2 | 120 | 233 |
| 3 | 128 | 232 |
| 4 | 129 | 232 |
| 5 | 130 | 232 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) |
(if (<=.f64 x #s(literal 4842270319348757/1152921504606846976 binary64)) (*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) (/.f64 #s(literal 1/3 binary64) x))) (*.f64 (*.f64 (sqrt.f64 x) (+.f64 y #s(literal -1 binary64))) #s(literal 3 binary64))) |
(if (<=.f64 x #s(literal 4080851302156591/13164036458569648337239753460458804039861886925068638906788872192 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64)) (*.f64 (*.f64 (sqrt.f64 x) (+.f64 y #s(literal -1 binary64))) #s(literal 3 binary64))) |
(if (<=.f64 x #s(literal 4080851302156591/13164036458569648337239753460458804039861886925068638906788872192 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64)) (*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64)))) |
(if (<=.f64 x #s(literal 4080851302156591/13164036458569648337239753460458804039861886925068638906788872192 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64)) (if (<=.f64 x #s(literal 79999999999999997087170359721984 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y) (if (<=.f64 x #s(literal 34499999999999998761114618118565922383727432753391239961174781561438176121260136713012126845344643763142656 binary64)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (if (<=.f64 x #s(literal 10500000000000000731859241535494776209780977591593872838173782757833257308634656049638150707503401159412783905336633456001661649303316872465812845346122869059521335099481202369170639385593397641216 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))))) |
(if (<=.f64 x #s(literal 5265614583427859/26328072917139296674479506920917608079723773850137277813577744384 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64)) (if (<=.f64 x #s(literal 900000000000000046043660025856 binary64)) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y)) (if (<=.f64 x #s(literal 46000000000000003780248761050050793227491746096196749418815425191080903191388047229032968496024074839916544 binary64)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (if (<=.f64 x #s(literal 31000000000000001740361913961341043555040844824515513769558954115574918094458441187876097995708968661232860272956237031879128542692520250834078278374777511930108470146358227684596227201966892165826714009600 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))))) |
(if (<=.f64 x #s(literal 4080851302156591/13164036458569648337239753460458804039861886925068638906788872192 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64)) (if (<=.f64 x #s(literal 4100000000000000053379464167424 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y)) (if (<=.f64 x #s(literal 56999999999999997244611638166505059149307692928427905657082371739441769022554852185191757478974035370967040 binary64)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (if (<=.f64 x #s(literal 419999999999999994086477637308970760206020419562708352941407260897465380382212086208790187518674964906995581142025162676148387508301982631921632694353060151500154810692836028488003882578935144796651520 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))))) |
(if (<=.f64 x #s(literal 4842270319348757/1152921504606846976 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) |
(if (<=.f64 x #s(literal 4842270319348757/1152921504606846976 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) |
(if (<=.f64 x #s(literal 4842270319348757/1152921504606846976 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) |
(*.f64 (sqrt.f64 x) #s(literal -3 binary64)) |
| Outputs |
|---|
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (+.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal -1 binary64))) |
(*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) |
(if (<=.f64 x #s(literal 4842270319348757/1152921504606846976 binary64)) (*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) (/.f64 #s(literal 1/3 binary64) x))) (*.f64 (*.f64 (sqrt.f64 x) (+.f64 y #s(literal -1 binary64))) #s(literal 3 binary64))) |
(if (<=.f64 x #s(literal 4842270319348757/1152921504606846976 binary64)) (*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) (/.f64 #s(literal 1/3 binary64) x))) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) (+.f64 y #s(literal -1 binary64))))) |
(if (<=.f64 x #s(literal 4080851302156591/13164036458569648337239753460458804039861886925068638906788872192 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64)) (*.f64 (*.f64 (sqrt.f64 x) (+.f64 y #s(literal -1 binary64))) #s(literal 3 binary64))) |
(if (<=.f64 x #s(literal 4080851302156591/13164036458569648337239753460458804039861886925068638906788872192 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) (+.f64 y #s(literal -1 binary64))))) |
(if (<=.f64 x #s(literal 4080851302156591/13164036458569648337239753460458804039861886925068638906788872192 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64)) (*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64)))) |
(if (<=.f64 x #s(literal 4080851302156591/13164036458569648337239753460458804039861886925068638906788872192 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64)) (if (<=.f64 x #s(literal 79999999999999997087170359721984 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y) (if (<=.f64 x #s(literal 34499999999999998761114618118565922383727432753391239961174781561438176121260136713012126845344643763142656 binary64)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (if (<=.f64 x #s(literal 10500000000000000731859241535494776209780977591593872838173782757833257308634656049638150707503401159412783905336633456001661649303316872465812845346122869059521335099481202369170639385593397641216 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))))) |
(if (<=.f64 x #s(literal 5265614583427859/26328072917139296674479506920917608079723773850137277813577744384 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64)) (if (<=.f64 x #s(literal 900000000000000046043660025856 binary64)) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y)) (if (<=.f64 x #s(literal 46000000000000003780248761050050793227491746096196749418815425191080903191388047229032968496024074839916544 binary64)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (if (<=.f64 x #s(literal 31000000000000001740361913961341043555040844824515513769558954115574918094458441187876097995708968661232860272956237031879128542692520250834078278374777511930108470146358227684596227201966892165826714009600 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))))) |
(if (<=.f64 x #s(literal 4080851302156591/13164036458569648337239753460458804039861886925068638906788872192 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64)) (if (<=.f64 x #s(literal 4100000000000000053379464167424 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y)) (if (<=.f64 x #s(literal 56999999999999997244611638166505059149307692928427905657082371739441769022554852185191757478974035370967040 binary64)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (if (<=.f64 x #s(literal 419999999999999994086477637308970760206020419562708352941407260897465380382212086208790187518674964906995581142025162676148387508301982631921632694353060151500154810692836028488003882578935144796651520 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))))) |
(if (<=.f64 x #s(literal 4842270319348757/1152921504606846976 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) |
(if (<=.f64 x #s(literal 4842270319348757/1152921504606846976 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) |
(if (<=.f64 x #s(literal 4842270319348757/1152921504606846976 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -1/2 binary64))) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) |
(if (<=.f64 x #s(literal 4842270319348757/1152921504606846976 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) |
(*.f64 (sqrt.f64 x) #s(literal -3 binary64)) |
| 6166× | *-lowering-*.f32 |
| 6166× | *-lowering-*.f64 |
| 4994× | *-lowering-*.f32 |
| 4994× | *-lowering-*.f64 |
| 4652× | /-lowering-/.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 166 |
| 1 | 264 | 130 |
| 2 | 2549 | 128 |
| 0 | 11550 | 128 |
| 0 | 19 | 62 |
| 1 | 112 | 56 |
| 2 | 1074 | 56 |
| 0 | 8276 | 56 |
| 0 | 25 | 75 |
| 1 | 148 | 72 |
| 2 | 1312 | 72 |
| 0 | 8152 | 72 |
| 0 | 422 | 4004 |
| 1 | 1470 | 3397 |
| 2 | 5749 | 3359 |
| 0 | 8108 | 3359 |
| 0 | 130 | 1241 |
| 1 | 386 | 1181 |
| 2 | 1263 | 1154 |
| 3 | 4437 | 1154 |
| 0 | 8615 | 1154 |
| 0 | 186 | 2396 |
| 1 | 574 | 2332 |
| 2 | 1943 | 2285 |
| 3 | 5789 | 2285 |
| 0 | 8558 | 2285 |
| 0 | 12 | 13 |
| 1 | 28 | 11 |
| 2 | 72 | 11 |
| 3 | 200 | 11 |
| 4 | 426 | 11 |
| 5 | 613 | 11 |
| 6 | 1266 | 11 |
| 7 | 2885 | 11 |
| 8 | 6032 | 11 |
| 9 | 7660 | 11 |
| 10 | 7847 | 11 |
| 11 | 7877 | 11 |
| 12 | 7878 | 11 |
| 13 | 7878 | 11 |
| 0 | 8222 | 11 |
| 0 | 97 | 1324 |
| 1 | 285 | 1280 |
| 2 | 961 | 1257 |
| 3 | 3108 | 1241 |
| 0 | 8294 | 1241 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 772 to 510 computations (33.9% saved)
Compiled 568 to 208 computations (63.4% saved)
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