
Time bar (total: 8.2s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 4 |
| 6.7% | 6.2% | 87.4% | 0.1% | 0% | 6.2% | 0% | 5 |
| 20.7% | 18.7% | 71.8% | 0.1% | 0% | 9.4% | 0% | 6 |
| 34.5% | 29.7% | 56.2% | 0.1% | 0% | 14% | 0% | 7 |
| 50.5% | 42.1% | 41.4% | 0.1% | 0% | 16.4% | 0% | 8 |
| 61.4% | 49.6% | 31.2% | 0.1% | 0% | 19.1% | 0% | 9 |
| 72.2% | 57.4% | 22% | 0.1% | 0% | 20.5% | 0% | 10 |
| 79% | 61.6% | 16.4% | 0.1% | 0% | 22% | 0% | 11 |
| 85.3% | 65.9% | 11.4% | 0.1% | 0% | 22.7% | 0% | 12 |
Compiled 13 to 10 computations (23.1% saved)
| 1.4s | 3 910× | 1 | valid |
| 456.0ms | 4 346× | 0 | valid |
| 22.0ms | 273× | 0 | invalid |
ival-log: 650.0ms (43.4% of total)ival-div: 352.0ms (23.5% of total)adjust: 126.0ms (8.4% of total)ival-exp: 124.0ms (8.3% of total)ival-mult: 119.0ms (7.9% of total)ival-add: 115.0ms (7.7% of total)ival-true: 7.0ms (0.5% of total)ival-assert: 4.0ms (0.3% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 156 | 34 | (-7.424914604228574e+299 -2.3937654616471825e-234) | 5 | (-2.90071440509694e-98 -2.3795462889622107e+220) | (log.f64 (/.f64 x (+.f64 x y))) |
| 35 | 0 | - | 2 | (-1.3577069957949825e+194 -1.754908660454147e-122) | (*.f64 x (log.f64 (/.f64 x (+.f64 x y)))) |
| 0 | 0 | - | 0 | - | (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) |
| 0 | 0 | - | 0 | - | (/.f64 x (+.f64 x y)) |
| 0 | 0 | - | 0 | - | (+.f64 x y) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
log.f64 | (log.f64 (/.f64 x (+.f64 x y))) | sensitivity | 159 | 0 |
*.f64 | (*.f64 x (log.f64 (/.f64 x (+.f64 x y)))) | n*u | 33 | 0 |
log.f64 | (log.f64 (/.f64 x (+.f64 x y))) | uflow-rescue | 26 | 0 |
| ↳ | (log.f64 (/.f64 x (+.f64 x y))) | underflow | 33 | |
| ↳ | (/.f64 x (+.f64 x y)) | underflow | 26 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 59 | 0 |
| - | 126 | 71 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 59 | 0 | 0 |
| - | 126 | 0 | 71 |
| number | freq |
|---|---|
| 0 | 71 |
| 1 | 152 |
| 2 | 33 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 114.0ms | 238× | 1 | valid |
| 74.0ms | 74× | 2 | valid |
| 20.0ms | 200× | 0 | valid |
Compiled 103 to 28 computations (72.8% saved)
ival-log: 117.0ms (72.2% of total)ival-div: 17.0ms (10.5% of total)adjust: 8.0ms (4.9% of total)ival-exp: 7.0ms (4.3% of total)ival-add: 6.0ms (3.7% of total)ival-mult: 6.0ms (3.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 67 |
| 1 | 58 | 55 |
| 2 | 139 | 53 |
| 3 | 392 | 53 |
| 4 | 1217 | 53 |
| 0 | 8 | 11 |
| 0 | 14 | 11 |
| 1 | 21 | 9 |
| 2 | 38 | 9 |
| 3 | 81 | 9 |
| 4 | 261 | 9 |
| 5 | 2013 | 9 |
| 6 | 5297 | 9 |
| 0 | 9108 | 9 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) |
| Outputs |
|---|
(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) |
(/.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) x) |
Compiled 11 to 8 computations (27.3% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 78.4% | (/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) |
Compiled 11 to 8 computations (27.3% saved)
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (log.f64 (/.f64 x (+.f64 x y))) | |
| cost-diff | 0 | (*.f64 x (log.f64 (/.f64 x (+.f64 x y)))) | |
| cost-diff | 0 | (/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) | |
| cost-diff | 2 | (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 44 |
| 0 | 14 | 44 |
| 1 | 21 | 40 |
| 2 | 38 | 40 |
| 3 | 81 | 40 |
| 4 | 261 | 40 |
| 5 | 2013 | 40 |
| 6 | 5297 | 40 |
| 0 | 9108 | 40 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) |
(exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) |
(*.f64 x (log.f64 (/.f64 x (+.f64 x y)))) |
x |
(log.f64 (/.f64 x (+.f64 x y))) |
(/.f64 x (+.f64 x y)) |
(+.f64 x y) |
y |
| Outputs |
|---|
(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) |
(/.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) x) |
(exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) |
(pow.f64 (/.f64 x (+.f64 y x)) x) |
(*.f64 x (log.f64 (/.f64 x (+.f64 x y)))) |
(*.f64 (log.f64 (/.f64 x (+.f64 y x))) x) |
x |
(log.f64 (/.f64 x (+.f64 x y))) |
(log.f64 (/.f64 x (+.f64 y x))) |
(/.f64 x (+.f64 x y)) |
(/.f64 x (+.f64 y x)) |
(+.f64 x y) |
(+.f64 y x) |
y |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.01171875 | (/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) | |
| accuracy | 0.0234375 | (/.f64 x (+.f64 x y)) | |
| accuracy | 8.187162091422035 | (*.f64 x (log.f64 (/.f64 x (+.f64 x y)))) | |
| accuracy | 34.82491743905409 | (log.f64 (/.f64 x (+.f64 x y))) |
| 29.0ms | 119× | 1 | valid |
| 20.0ms | 37× | 2 | valid |
| 9.0ms | 100× | 0 | valid |
Compiled 46 to 10 computations (78.3% saved)
ival-log: 22.0ms (47.5% of total)ival-div: 10.0ms (21.6% of total)ival-add: 4.0ms (8.6% of total)adjust: 4.0ms (8.6% of total)ival-exp: 3.0ms (6.5% of total)ival-mult: 3.0ms (6.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) |
(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) |
(*.f64 x (log.f64 (/.f64 x (+.f64 x y)))) |
(log.f64 (/.f64 x (+.f64 x y))) |
(/.f64 x (+.f64 x y)) |
| Outputs |
|---|
1 |
(+ 1 (* x (+ (log x) (log (/ 1 y))))) |
(+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y))))))) |
(+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (* x (+ (* -1 (/ (+ (log x) (log (/ 1 y))) y)) (+ (* 1/6 (pow (+ (log x) (log (/ 1 y))) 3)) (* 1/2 (/ 1 (pow y 2))))))) (/ 1 y))))))) |
(/ 1 x) |
(/ (+ 1 (* x (+ (log x) (log (/ 1 y))))) x) |
(/ (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y))))))) x) |
(/ (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (* x (+ (* -1 (/ (+ (log x) (log (/ 1 y))) y)) (+ (* 1/6 (pow (+ (log x) (log (/ 1 y))) 3)) (* 1/2 (/ 1 (pow y 2))))))) (/ 1 y))))))) x) |
(* x (+ (log x) (log (/ 1 y)))) |
(* x (+ (log x) (+ (log (/ 1 y)) (* -1 (/ x y))))) |
(* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (/ x (pow y 2))) (/ 1 y)))))) |
(* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* x (+ (* -1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y)))))) |
(+ (log x) (log (/ 1 y))) |
(+ (log x) (+ (log (/ 1 y)) (* -1 (/ x y)))) |
(+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (/ x (pow y 2))) (/ 1 y))))) |
(+ (log x) (+ (log (/ 1 y)) (* x (- (* x (+ (* -1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))))) |
(/ x y) |
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y))) |
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y))) |
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))) |
(exp (* -1 y)) |
(+ (exp (* -1 y)) (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) |
(+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2)))) |
(+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (+ (/ (* (exp (* -1 y)) (+ (* 1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (+ (* 1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) (pow x 3)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2))))) |
(/ (exp (* -1 y)) x) |
(/ (+ (exp (* -1 y)) (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) x) |
(/ (+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2)))) x) |
(/ (+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (+ (/ (* (exp (* -1 y)) (+ (* 1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (+ (* 1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) (pow x 3)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2))))) x) |
(* -1 y) |
(+ (* -1 y) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) x))) |
(+ (* -1 y) (+ (* 1/6 (/ (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (pow x 2))) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) x)))) |
(+ (* -1 y) (+ (* 1/24 (/ (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4))))) (pow x 3))) (+ (* 1/6 (/ (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (pow x 2))) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) x))))) |
(* -1 (/ y x)) |
(/ (+ (* -1 y) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) x))) x) |
(/ (+ (* -1 y) (+ (* 1/6 (/ (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (pow x 2))) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) x)))) x) |
(/ (+ (* -1 y) (+ (* 1/24 (/ (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4))))) (pow x 3))) (+ (* 1/6 (/ (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (pow x 2))) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) x))))) x) |
(+ 1 (* -1 (/ y x))) |
(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x)) |
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))) |
(+ (exp (* -1 y)) (* -1 (/ (+ (* -1 (/ (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)))) x)) (* -1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))) x))) |
(+ (exp (* -1 y)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* -1 y)) (+ (* -1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) x)) (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2))))) x)) (* -1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))) x))) |
(* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) x)) |
(* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1 (/ (+ (* 1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (/ (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)))) x)) x))) x)) |
(* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2))))) (/ (* (exp (* -1 y)) (+ (* -1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) x)) x)) (* 1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))) x))) x)) |
(+ (* -1 y) (* -1 (/ (+ (* -1/2 (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) (* 1/6 (/ (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) x))) x))) |
(+ (* -1 y) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/24 (/ (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4))))) x))) x)) (* -1/2 (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) x))) |
(* -1 (/ (+ y (* -1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) x))) x)) |
(* -1 (/ (+ y (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) x)) (* 1/2 (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) x))) x)) |
(* -1 (/ (+ y (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4))))) x)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))))) x)) (* 1/2 (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) x))) x)) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x))) |
(+ 1 (* -1 y)) |
(+ 1 (* y (- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1))) |
(+ 1 (* y (- (* y (+ 1/2 (+ (* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) (* 1/2 (/ 1 x))))) 1))) |
(+ (* -1 (/ y x)) (/ 1 x)) |
(+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x)) |
(+ (* y (- (* y (+ (* -1 (/ (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) x)) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))) (/ 1 x))) (/ 1 x)) |
(* y (- (* 1/2 (/ y x)) 1)) |
(* y (- (* y (+ (* -1/3 (/ y (pow x 2))) (* 1/2 (/ 1 x)))) 1)) |
(* y (- (* y (+ (* y (- (* 1/4 (/ y (pow x 3))) (* 1/3 (/ 1 (pow x 2))))) (* 1/2 (/ 1 x)))) 1)) |
(* y (- (* 1/2 (/ y (pow x 2))) (/ 1 x))) |
(* y (- (* y (+ (* -1/3 (/ y (pow x 3))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) |
(* y (- (* y (+ (* y (- (* 1/4 (/ y (pow x 4))) (* 1/3 (/ 1 (pow x 3))))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) |
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x)))) |
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)))) |
(exp (* x (+ (log x) (log (/ 1 y))))) |
(+ (exp (* x (+ (log x) (log (/ 1 y))))) (* -1 (/ (* (pow x 2) (exp (* x (+ (log x) (log (/ 1 y)))))) y))) |
(+ (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1 (/ (* (pow x 2) (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (pow y 2)))) |
(+ (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1 (/ (* (pow x 2) (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (+ (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (+ (* -1/6 (pow x 6)) (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* -2 (pow x 3)) (* 6 (pow x 3))))))))) (pow y 3)) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (pow y 2))))) |
(/ (exp (* x (+ (log x) (log (/ 1 y))))) x) |
(+ (* -1 (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (/ (exp (* x (+ (log x) (log (/ 1 y))))) x)) |
(+ (* -1 (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (+ (/ (exp (* x (+ (log x) (log (/ 1 y))))) x) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x (pow y 2))))) |
(+ (* -1 (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (+ (/ (exp (* x (+ (log x) (log (/ 1 y))))) x) (+ (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (+ (* -1/6 (pow x 6)) (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* -2 (pow x 3)) (* 6 (pow x 3))))))))) (* x (pow y 3))) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x (pow y 2)))))) |
(+ (* -1 (/ (pow x 2) y)) (* x (+ (log x) (log (/ 1 y))))) |
(+ (* -1 (/ (pow x 2) y)) (+ (* 1/2 (/ (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2)))) (pow y 2))) (* x (+ (log x) (log (/ 1 y)))))) |
(+ (* -1 (/ (pow x 2) y)) (+ (* 1/6 (/ (* x (+ (* -6 (pow x 3)) (+ (* -2 (pow x 3)) (* 6 (pow x 3))))) (pow y 3))) (+ (* 1/2 (/ (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2)))) (pow y 2))) (* x (+ (log x) (log (/ 1 y))))))) |
(+ (log x) (+ (log (/ 1 y)) (+ (* -1 (/ x y)) (* 1/2 (/ (+ (* -1 (pow x 2)) (* 2 (pow x 2))) (pow y 2)))))) |
(+ (log x) (+ (log (/ 1 y)) (+ (* -1 (/ x y)) (+ (* 1/6 (/ (+ (* -6 (pow x 3)) (+ (* -2 (pow x 3)) (* 6 (pow x 3)))) (pow y 3))) (* 1/2 (/ (+ (* -1 (pow x 2)) (* 2 (pow x 2))) (pow y 2))))))) |
(/ (+ x (* -1 (/ (pow x 2) y))) y) |
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y) |
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y) |
(exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) |
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))) y))) |
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) y)) (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y))) |
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3)))))) (+ (* 1/6 (pow x 6)) (* 1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))))) y)) (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4))))) y)) (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y))) |
(/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x) |
(+ (* -1 (/ (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x)) |
(+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x y))) (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3)))))) (+ (* 1/6 (pow x 6)) (* 1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))))) (* x y))) (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) x)) y)) (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x)) |
(* x (+ (log (* -1 x)) (log (/ -1 y)))) |
(+ (* -1 (/ (pow x 2) y)) (* x (+ (log (* -1 x)) (log (/ -1 y))))) |
(+ (* -1 (/ (+ (* -1/2 (/ (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2)))) y)) (pow x 2)) y)) (* x (+ (log (* -1 x)) (log (/ -1 y))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3))))) y)) (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))) y)) (pow x 2)) y)) (* x (+ (log (* -1 x)) (log (/ -1 y))))) |
(+ (log (* -1 x)) (log (/ -1 y))) |
(+ (log (* -1 x)) (+ (log (/ -1 y)) (* -1 (/ x y)))) |
(+ (log (* -1 x)) (+ (log (/ -1 y)) (* -1 (/ (+ x (* -1/2 (/ (+ (* -1 (pow x 2)) (* 2 (pow x 2))) y))) y)))) |
(+ (log (* -1 x)) (+ (log (/ -1 y)) (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3)))) y)) (* 1/2 (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) y))) y)))) |
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 17.0ms | x | @ | 0 | ((exp (* x (log (/ x (+ x y))))) (/ (exp (* x (log (/ x (+ x y))))) x) (* x (log (/ x (+ x y)))) (log (/ x (+ x y))) (/ x (+ x y))) |
| 4.0ms | x | @ | inf | ((exp (* x (log (/ x (+ x y))))) (/ (exp (* x (log (/ x (+ x y))))) x) (* x (log (/ x (+ x y)))) (log (/ x (+ x y))) (/ x (+ x y))) |
| 4.0ms | x | @ | -inf | ((exp (* x (log (/ x (+ x y))))) (/ (exp (* x (log (/ x (+ x y))))) x) (* x (log (/ x (+ x y)))) (log (/ x (+ x y))) (/ x (+ x y))) |
| 4.0ms | y | @ | inf | ((exp (* x (log (/ x (+ x y))))) (/ (exp (* x (log (/ x (+ x y))))) x) (* x (log (/ x (+ x y)))) (log (/ x (+ x y))) (/ x (+ x y))) |
| 3.0ms | y | @ | 0 | ((exp (* x (log (/ x (+ x y))))) (/ (exp (* x (log (/ x (+ x y))))) x) (* x (log (/ x (+ x y)))) (log (/ x (+ x y))) (/ x (+ x y))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 554 | 3084 |
| 1 | 1948 | 2626 |
| 0 | 8623 | 2499 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (* x (+ (log x) (log (/ 1 y))))) |
(+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y))))))) |
(+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (* x (+ (* -1 (/ (+ (log x) (log (/ 1 y))) y)) (+ (* 1/6 (pow (+ (log x) (log (/ 1 y))) 3)) (* 1/2 (/ 1 (pow y 2))))))) (/ 1 y))))))) |
(/ 1 x) |
(/ (+ 1 (* x (+ (log x) (log (/ 1 y))))) x) |
(/ (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y))))))) x) |
(/ (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (* x (+ (* -1 (/ (+ (log x) (log (/ 1 y))) y)) (+ (* 1/6 (pow (+ (log x) (log (/ 1 y))) 3)) (* 1/2 (/ 1 (pow y 2))))))) (/ 1 y))))))) x) |
(* x (+ (log x) (log (/ 1 y)))) |
(* x (+ (log x) (+ (log (/ 1 y)) (* -1 (/ x y))))) |
(* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (/ x (pow y 2))) (/ 1 y)))))) |
(* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* x (+ (* -1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y)))))) |
(+ (log x) (log (/ 1 y))) |
(+ (log x) (+ (log (/ 1 y)) (* -1 (/ x y)))) |
(+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (/ x (pow y 2))) (/ 1 y))))) |
(+ (log x) (+ (log (/ 1 y)) (* x (- (* x (+ (* -1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))))) |
(/ x y) |
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y))) |
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y))) |
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))) |
(exp (* -1 y)) |
(+ (exp (* -1 y)) (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) |
(+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2)))) |
(+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (+ (/ (* (exp (* -1 y)) (+ (* 1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (+ (* 1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) (pow x 3)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2))))) |
(/ (exp (* -1 y)) x) |
(/ (+ (exp (* -1 y)) (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) x) |
(/ (+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2)))) x) |
(/ (+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (+ (/ (* (exp (* -1 y)) (+ (* 1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (+ (* 1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) (pow x 3)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2))))) x) |
(* -1 y) |
(+ (* -1 y) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) x))) |
(+ (* -1 y) (+ (* 1/6 (/ (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (pow x 2))) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) x)))) |
(+ (* -1 y) (+ (* 1/24 (/ (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4))))) (pow x 3))) (+ (* 1/6 (/ (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (pow x 2))) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) x))))) |
(* -1 (/ y x)) |
(/ (+ (* -1 y) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) x))) x) |
(/ (+ (* -1 y) (+ (* 1/6 (/ (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (pow x 2))) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) x)))) x) |
(/ (+ (* -1 y) (+ (* 1/24 (/ (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4))))) (pow x 3))) (+ (* 1/6 (/ (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (pow x 2))) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) x))))) x) |
(+ 1 (* -1 (/ y x))) |
(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x)) |
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))) |
(+ (exp (* -1 y)) (* -1 (/ (+ (* -1 (/ (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)))) x)) (* -1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))) x))) |
(+ (exp (* -1 y)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* -1 y)) (+ (* -1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) x)) (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2))))) x)) (* -1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))) x))) |
(* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) x)) |
(* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1 (/ (+ (* 1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (/ (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)))) x)) x))) x)) |
(* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2))))) (/ (* (exp (* -1 y)) (+ (* -1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) x)) x)) (* 1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))) x))) x)) |
(+ (* -1 y) (* -1 (/ (+ (* -1/2 (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) (* 1/6 (/ (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) x))) x))) |
(+ (* -1 y) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/24 (/ (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4))))) x))) x)) (* -1/2 (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) x))) |
(* -1 (/ (+ y (* -1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) x))) x)) |
(* -1 (/ (+ y (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) x)) (* 1/2 (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) x))) x)) |
(* -1 (/ (+ y (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4))))) x)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))))) x)) (* 1/2 (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) x))) x)) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x))) |
(+ 1 (* -1 y)) |
(+ 1 (* y (- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1))) |
(+ 1 (* y (- (* y (+ 1/2 (+ (* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) (* 1/2 (/ 1 x))))) 1))) |
(+ (* -1 (/ y x)) (/ 1 x)) |
(+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x)) |
(+ (* y (- (* y (+ (* -1 (/ (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) x)) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))) (/ 1 x))) (/ 1 x)) |
(* y (- (* 1/2 (/ y x)) 1)) |
(* y (- (* y (+ (* -1/3 (/ y (pow x 2))) (* 1/2 (/ 1 x)))) 1)) |
(* y (- (* y (+ (* y (- (* 1/4 (/ y (pow x 3))) (* 1/3 (/ 1 (pow x 2))))) (* 1/2 (/ 1 x)))) 1)) |
(* y (- (* 1/2 (/ y (pow x 2))) (/ 1 x))) |
(* y (- (* y (+ (* -1/3 (/ y (pow x 3))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) |
(* y (- (* y (+ (* y (- (* 1/4 (/ y (pow x 4))) (* 1/3 (/ 1 (pow x 3))))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) |
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x)))) |
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)))) |
(exp (* x (+ (log x) (log (/ 1 y))))) |
(+ (exp (* x (+ (log x) (log (/ 1 y))))) (* -1 (/ (* (pow x 2) (exp (* x (+ (log x) (log (/ 1 y)))))) y))) |
(+ (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1 (/ (* (pow x 2) (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (pow y 2)))) |
(+ (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1 (/ (* (pow x 2) (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (+ (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (+ (* -1/6 (pow x 6)) (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* -2 (pow x 3)) (* 6 (pow x 3))))))))) (pow y 3)) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (pow y 2))))) |
(/ (exp (* x (+ (log x) (log (/ 1 y))))) x) |
(+ (* -1 (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (/ (exp (* x (+ (log x) (log (/ 1 y))))) x)) |
(+ (* -1 (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (+ (/ (exp (* x (+ (log x) (log (/ 1 y))))) x) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x (pow y 2))))) |
(+ (* -1 (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (+ (/ (exp (* x (+ (log x) (log (/ 1 y))))) x) (+ (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (+ (* -1/6 (pow x 6)) (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* -2 (pow x 3)) (* 6 (pow x 3))))))))) (* x (pow y 3))) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x (pow y 2)))))) |
(+ (* -1 (/ (pow x 2) y)) (* x (+ (log x) (log (/ 1 y))))) |
(+ (* -1 (/ (pow x 2) y)) (+ (* 1/2 (/ (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2)))) (pow y 2))) (* x (+ (log x) (log (/ 1 y)))))) |
(+ (* -1 (/ (pow x 2) y)) (+ (* 1/6 (/ (* x (+ (* -6 (pow x 3)) (+ (* -2 (pow x 3)) (* 6 (pow x 3))))) (pow y 3))) (+ (* 1/2 (/ (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2)))) (pow y 2))) (* x (+ (log x) (log (/ 1 y))))))) |
(+ (log x) (+ (log (/ 1 y)) (+ (* -1 (/ x y)) (* 1/2 (/ (+ (* -1 (pow x 2)) (* 2 (pow x 2))) (pow y 2)))))) |
(+ (log x) (+ (log (/ 1 y)) (+ (* -1 (/ x y)) (+ (* 1/6 (/ (+ (* -6 (pow x 3)) (+ (* -2 (pow x 3)) (* 6 (pow x 3)))) (pow y 3))) (* 1/2 (/ (+ (* -1 (pow x 2)) (* 2 (pow x 2))) (pow y 2))))))) |
(/ (+ x (* -1 (/ (pow x 2) y))) y) |
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y) |
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y) |
(exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) |
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))) y))) |
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) y)) (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y))) |
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3)))))) (+ (* 1/6 (pow x 6)) (* 1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))))) y)) (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4))))) y)) (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y))) |
(/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x) |
(+ (* -1 (/ (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x)) |
(+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x y))) (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3)))))) (+ (* 1/6 (pow x 6)) (* 1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))))) (* x y))) (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) x)) y)) (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x)) |
(* x (+ (log (* -1 x)) (log (/ -1 y)))) |
(+ (* -1 (/ (pow x 2) y)) (* x (+ (log (* -1 x)) (log (/ -1 y))))) |
(+ (* -1 (/ (+ (* -1/2 (/ (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2)))) y)) (pow x 2)) y)) (* x (+ (log (* -1 x)) (log (/ -1 y))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3))))) y)) (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))) y)) (pow x 2)) y)) (* x (+ (log (* -1 x)) (log (/ -1 y))))) |
(+ (log (* -1 x)) (log (/ -1 y))) |
(+ (log (* -1 x)) (+ (log (/ -1 y)) (* -1 (/ x y)))) |
(+ (log (* -1 x)) (+ (log (/ -1 y)) (* -1 (/ (+ x (* -1/2 (/ (+ (* -1 (pow x 2)) (* 2 (pow x 2))) y))) y)))) |
(+ (log (* -1 x)) (+ (log (/ -1 y)) (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3)))) y)) (* 1/2 (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) y))) y)))) |
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y)) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (* x (+ (log x) (log (/ 1 y))))) |
(fma.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) x #s(literal 1 binary64)) |
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(fma.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x))) x (/.f64 (*.f64 (neg.f64 x) x) y)) |
(+ (* -1 (/ (+ (* -1/2 (/ (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2)))) y)) (pow x 2)) y)) (* x (+ (log (* -1 x)) (log (/ -1 y))))) |
(fma.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x))) x (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) #s(literal -1/2 binary64) (*.f64 x x)) (neg.f64 y))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3))))) y)) (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))) y)) (pow x 2)) y)) (* x (+ (log (* -1 x)) (log (/ -1 y))))) |
(fma.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x))) x (/.f64 (fma.f64 x x (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)) x) y) #s(literal -1/6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64))) (neg.f64 y))) (neg.f64 y))) |
(+ (log (* -1 x)) (log (/ -1 y))) |
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x))) |
(+ (log (* -1 x)) (+ (log (/ -1 y)) (* -1 (/ x y)))) |
(-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (-.f64 (/.f64 x y) (log.f64 (neg.f64 x)))) |
(+ (log (* -1 x)) (+ (log (/ -1 y)) (* -1 (/ (+ x (* -1/2 (/ (+ (* -1 (pow x 2)) (* 2 (pow x 2))) y))) y)))) |
(-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (-.f64 (/.f64 (fma.f64 (*.f64 x (/.f64 x y)) #s(literal -1/2 binary64) x) y) (log.f64 (neg.f64 x)))) |
(+ (log (* -1 x)) (+ (log (/ -1 y)) (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3)))) y)) (* 1/2 (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) y))) y)))) |
(-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (-.f64 (/.f64 (-.f64 x (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)) y) #s(literal -1/6 binary64))) y)) y) (log.f64 (neg.f64 x)))) |
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y)) |
(/.f64 (fma.f64 x (/.f64 x y) (neg.f64 x)) (neg.f64 y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y)) |
(/.f64 (-.f64 (neg.f64 x) (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (*.f64 x x)) y)) (neg.f64 y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y)) |
(/.f64 (-.f64 (neg.f64 x) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) (neg.f64 y)) (*.f64 x x)) y)) (neg.f64 y)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 39 |
| 0 | 14 | 39 |
| 1 | 44 | 35 |
| 2 | 236 | 35 |
| 3 | 2118 | 35 |
| 0 | 8377 | 35 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) |
(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) |
(*.f64 x (log.f64 (/.f64 x (+.f64 x y)))) |
(log.f64 (/.f64 x (+.f64 x y))) |
(/.f64 x (+.f64 x y)) |
| Outputs |
|---|
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)))) (neg.f64 (neg.f64 (sqrt.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))))) |
(*.f64 (pow.f64 (pow.f64 (/.f64 (/.f64 x (+.f64 y x)) (-.f64 x y)) (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (pow.f64 (-.f64 x y) (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (pow.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (/.f64 x (*.f64 (+.f64 y x) (-.f64 y x))) (*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64)))) (pow.f64 (-.f64 y x) (*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64))))) |
(*.f64 (pow.f64 (/.f64 (/.f64 x (+.f64 y x)) (-.f64 x y)) (*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64)))) (pow.f64 (-.f64 x y) (*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64))))) |
(*.f64 (pow.f64 (-.f64 x y) (*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64)))) (pow.f64 (/.f64 (/.f64 x (+.f64 y x)) (-.f64 x y)) (*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64))))) |
(*.f64 (pow.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64)))) (pow.f64 (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x))) (*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64))))) |
(*.f64 (pow.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64)))) (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64))))) |
(*.f64 (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64)))) (pow.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64))))) |
(*.f64 (pow.f64 (/.f64 x (*.f64 (+.f64 y x) (-.f64 y x))) (/.f64 (+.f64 x x) #s(literal 2 binary64))) (pow.f64 (-.f64 y x) (/.f64 (+.f64 x x) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (/.f64 (/.f64 x (+.f64 y x)) (-.f64 x y)) (/.f64 (+.f64 x x) #s(literal 2 binary64))) (pow.f64 (-.f64 x y) (/.f64 (+.f64 x x) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (-.f64 x y) (/.f64 (+.f64 x x) #s(literal 2 binary64))) (pow.f64 (/.f64 (/.f64 x (+.f64 y x)) (-.f64 x y)) (/.f64 (+.f64 x x) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (+.f64 x x) #s(literal 2 binary64))) (pow.f64 (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x))) (/.f64 (+.f64 x x) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (+.f64 x x) #s(literal 2 binary64))) (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (/.f64 (+.f64 x x) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (/.f64 (+.f64 x x) #s(literal 2 binary64))) (pow.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (+.f64 x x) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (/.f64 x (*.f64 (+.f64 y x) (-.f64 y x))) x) (pow.f64 (-.f64 y x) x)) |
(*.f64 (pow.f64 (exp.f64 x) (log.f64 (/.f64 (/.f64 x (+.f64 y x)) (-.f64 x y)))) (pow.f64 (exp.f64 x) (log.f64 (-.f64 x y)))) |
(*.f64 (pow.f64 (exp.f64 x) (log.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) (pow.f64 (exp.f64 x) (log.f64 (fma.f64 (-.f64 y x) y (*.f64 x x))))) |
(*.f64 (neg.f64 (sqrt.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))) (neg.f64 (sqrt.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)))) |
(*.f64 (pow.f64 (-.f64 x y) x) (pow.f64 (/.f64 (/.f64 x (+.f64 y x)) (-.f64 x y)) x)) |
(*.f64 (pow.f64 (/.f64 (/.f64 x (+.f64 y x)) (-.f64 x y)) x) (pow.f64 (-.f64 x y) x)) |
(*.f64 (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) x) (pow.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) x)) |
(*.f64 (pow.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) x) (pow.f64 (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x))) x)) |
(*.f64 (pow.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) x) (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) x)) |
(*.f64 (sqrt.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)) (sqrt.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))) |
(pow.f64 (neg.f64 (sqrt.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (log.f64 (/.f64 x (+.f64 y x))) #s(literal 2 binary64))) |
(pow.f64 (pow.f64 (/.f64 x (+.f64 y x)) #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64))) |
(pow.f64 (sqrt.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (/.f64 x (+.f64 y x)) (neg.f64 x)) #s(literal -1 binary64)) |
(pow.f64 (exp.f64 x) (*.f64 (/.f64 (log.f64 (/.f64 x (+.f64 y x))) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(pow.f64 (exp.f64 x) (*.f64 #s(literal 2 binary64) (/.f64 (log.f64 (/.f64 x (+.f64 y x))) #s(literal 2 binary64)))) |
(pow.f64 (exp.f64 x) (/.f64 (+.f64 (log.f64 (/.f64 x (+.f64 y x))) (log.f64 (/.f64 x (+.f64 y x)))) #s(literal 2 binary64))) |
(pow.f64 (exp.f64 x) (log.f64 (/.f64 x (+.f64 y x)))) |
(pow.f64 (/.f64 x (+.f64 y x)) (*.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) |
(pow.f64 (/.f64 x (+.f64 y x)) (*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64)))) |
(pow.f64 (/.f64 x (+.f64 y x)) (/.f64 (+.f64 x x) #s(literal 2 binary64))) |
(pow.f64 (/.f64 x (+.f64 y x)) x) |
(/.f64 (+.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))))) (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)))))) #s(literal -2 binary64)) |
(/.f64 (+.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))))) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)))))) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))) #s(literal 2 binary64)) (pow.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))) (cosh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))) (*.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)))))) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))) (*.f64 #s(literal 2 binary64) (sinh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)))))) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))))))) #s(literal -4 binary64)) |
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))))))) #s(literal -4 binary64)) |
(/.f64 (neg.f64 (pow.f64 (exp.f64 x) (log.f64 (neg.f64 x)))) (neg.f64 (pow.f64 (exp.f64 x) (log.f64 (+.f64 y x))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (-.f64 (cosh.f64 (fma.f64 (log.f64 (/.f64 x (+.f64 y x))) x (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)))) (*.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))) (cosh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)))))))) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 (exp.f64 x) (log.f64 x)))) (neg.f64 (neg.f64 (pow.f64 (exp.f64 x) (log.f64 (+.f64 y x)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))) #s(literal 2 binary64)) (pow.f64 (/.f64 x (+.f64 y x)) (neg.f64 x))) (*.f64 (pow.f64 (/.f64 x (+.f64 y x)) (neg.f64 x)) (pow.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))) #s(literal 2 binary64)))) (pow.f64 (pow.f64 (/.f64 x (+.f64 y x)) (neg.f64 x)) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (pow.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))) #s(literal 3 binary64)) (-.f64 (cosh.f64 (fma.f64 (log.f64 (/.f64 x (+.f64 y x))) x (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)))) (*.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))) (cosh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))))) (*.f64 (-.f64 (cosh.f64 (fma.f64 (log.f64 (/.f64 x (+.f64 y x))) x (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)))) (*.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))) (cosh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))))) (pow.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))) #s(literal 3 binary64)))) (*.f64 (-.f64 (cosh.f64 (fma.f64 (log.f64 (/.f64 x (+.f64 y x))) x (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)))) (*.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))) (cosh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))))) (-.f64 (cosh.f64 (fma.f64 (log.f64 (/.f64 x (+.f64 y x))) x (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)))) (*.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))) (cosh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))))))) |
(/.f64 (fma.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))))) #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))))))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))))) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)))))) #s(literal -4 binary64)) |
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)))) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))))))) #s(literal -4 binary64)) |
(/.f64 (fma.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))))) #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))))))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))))) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)))))) #s(literal -4 binary64)) |
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)))) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))))))) #s(literal -4 binary64)) |
(/.f64 (exp.f64 (log.f64 (+.f64 (pow.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))) #s(literal 3 binary64))))) (exp.f64 (log.f64 (-.f64 (cosh.f64 (fma.f64 (log.f64 (/.f64 x (+.f64 y x))) x (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)))) (*.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))) (cosh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)))))))) |
(/.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64))) (pow.f64 (exp.f64 x) (log.f64 (+.f64 y x)))) |
(/.f64 (pow.f64 (exp.f64 x) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 (+.f64 y x) x)))) (pow.f64 (exp.f64 x) (/.f64 (pow.f64 (log.f64 (+.f64 y x)) #s(literal 2 binary64)) (log.f64 (*.f64 (+.f64 y x) x))))) |
(/.f64 (pow.f64 (exp.f64 x) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (fma.f64 (log.f64 (+.f64 y x)) (log.f64 (*.f64 (+.f64 y x) x)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) (pow.f64 (exp.f64 x) (/.f64 (pow.f64 (log.f64 (+.f64 y x)) #s(literal 3 binary64)) (fma.f64 (log.f64 (+.f64 y x)) (log.f64 (*.f64 (+.f64 y x) x)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))) #s(literal 2 binary64)) (pow.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))) #s(literal 2 binary64))) (-.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))) (cosh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))))) |
(/.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))) (*.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))))) #s(literal 2 binary64)) |
(/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))) (*.f64 #s(literal 2 binary64) (sinh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))))) #s(literal 2 binary64)) |
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(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)))) x (*.f64 (*.f64 #s(literal 2 binary64) x) (cosh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))))) (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
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(/.f64 (fma.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))) x (*.f64 x (cosh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))))) (*.f64 x x)) |
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(/.f64 (fma.f64 (neg.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)))) x (*.f64 (neg.f64 x) (sinh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))))) (*.f64 (neg.f64 x) x)) |
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(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)))) (*.f64 #s(literal 2 binary64) x) (*.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) (sinh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)))))) (*.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) x))) |
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(/.f64 (pow.f64 (exp.f64 x) (log.f64 x)) (*.f64 (pow.f64 (exp.f64 x) (log.f64 (+.f64 y x))) x)) |
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(*.f64 (*.f64 #s(literal 2 binary64) (/.f64 (log.f64 (/.f64 x (+.f64 y x))) #s(literal 2 binary64))) x) |
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(*.f64 (/.f64 (+.f64 (log.f64 (/.f64 x (+.f64 y x))) (log.f64 (/.f64 x (+.f64 y x)))) #s(literal 2 binary64)) x) |
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(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)))) |
(*.f64 (log.f64 (/.f64 x (+.f64 y x))) x) |
(*.f64 x (log.f64 (/.f64 x (+.f64 y x)))) |
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(/.f64 (*.f64 (/.f64 (/.f64 x (+.f64 y x)) (-.f64 x y)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 y (+.f64 y x) (*.f64 x x))) |
(/.f64 (*.f64 (/.f64 (/.f64 x (+.f64 y x)) (-.f64 x y)) (*.f64 (-.f64 x y) (+.f64 y x))) (+.f64 y x)) |
(/.f64 (*.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 y x) y) #s(literal 2 binary64)))) (-.f64 (*.f64 x x) (*.f64 (-.f64 y x) y))) |
(/.f64 (*.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 (-.f64 y x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 y x) y) (-.f64 (*.f64 (-.f64 y x) y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) |
(/.f64 (*.f64 x (fma.f64 (-.f64 y x) y (*.f64 x x))) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
(/.f64 (*.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (fma.f64 y (+.f64 y x) (*.f64 x x)))) |
(/.f64 (*.f64 x (*.f64 (-.f64 x y) (+.f64 y x))) (*.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (+.f64 y x))) |
(/.f64 (*.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 y x) y) #s(literal 2 binary64)))) (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (*.f64 x x) (*.f64 (-.f64 y x) y)))) |
(/.f64 (*.f64 x (+.f64 (pow.f64 (*.f64 (-.f64 y x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 (-.f64 y x) y) (-.f64 (*.f64 (-.f64 y x) y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))) |
(/.f64 (*.f64 x (-.f64 x y)) (*.f64 (-.f64 x y) (+.f64 y x))) |
(/.f64 (neg.f64 x) (+.f64 y x)) |
(/.f64 x (+.f64 y x)) |
(neg.f64 (/.f64 x (+.f64 y x))) |
(fma.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (-.f64 y x) y) (*.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x))) |
(fma.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x) (*.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (-.f64 y x) y))) |
(fma.f64 (*.f64 (-.f64 y x) y) (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (*.f64 x x) (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) |
(fma.f64 (*.f64 x x) (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (*.f64 (-.f64 y x) y) (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) |
(exp.f64 (log.f64 (/.f64 x (+.f64 y x)))) |
(+.f64 (*.f64 (*.f64 (-.f64 y x) y) (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (*.f64 x x) (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) |
(+.f64 (*.f64 (*.f64 x x) (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (*.f64 (-.f64 y x) y) (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) |
(+.f64 (*.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (-.f64 y x) y)) (*.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x))) |
(+.f64 (*.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x)) (*.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (-.f64 y x) y))) |
(+.f64 (cosh.f64 (log.f64 (/.f64 x (+.f64 y x)))) (sinh.f64 (log.f64 (/.f64 x (+.f64 y x))))) |
Compiled 10 838 to 1 743 computations (83.9% saved)
9 alts after pruning (9 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 336 | 9 | 345 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 337 | 9 | 346 |
| Status | Accuracy | Program |
|---|---|---|
| 78.4% | (/.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) x) | |
| ▶ | 77.7% | (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) |
| ▶ | 50.7% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) |
| ▶ | 55.5% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) |
| 55.7% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) x) | |
| ▶ | 77.1% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) |
| ▶ | 78.4% | (*.f64 (sqrt.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)) (/.f64 (sqrt.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)) x)) |
| 47.7% | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) #s(literal 1/2 binary64)) x) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) y) (/.f64 #s(literal 1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))) | |
| 46.1% | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal -1/2 binary64) x)) y) (/.f64 #s(literal 1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))) |
Compiled 420 to 270 computations (35.7% saved)
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)) | |
| cost-diff | 0 | (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) | |
| cost-diff | 0 | (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) | |
| cost-diff | 0 | #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) | |
| cost-diff | 0 | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) | |
| cost-diff | 1 | (*.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y) | |
| cost-diff | 2 | (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) | |
| cost-diff | 0 | (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) | |
| cost-diff | 0 | (fma.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) | |
| cost-diff | 0 | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) | |
| cost-diff | 0 | #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) | |
| cost-diff | 0 | (/.f64 x (+.f64 y x)) | |
| cost-diff | 0 | (pow.f64 (/.f64 x (+.f64 y x)) x) | |
| cost-diff | 0 | (sqrt.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)) | |
| cost-diff | 10 | (*.f64 (sqrt.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)) (/.f64 (sqrt.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 416 |
| 0 | 71 | 416 |
| 1 | 107 | 380 |
| 2 | 203 | 380 |
| 3 | 465 | 380 |
| 4 | 1172 | 380 |
| 5 | 5312 | 380 |
| 0 | 8268 | 375 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (sqrt.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)) (/.f64 (sqrt.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)) x)) |
(sqrt.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)) |
(pow.f64 (/.f64 x (+.f64 y x)) x) |
(/.f64 x (+.f64 y x)) |
x |
(+.f64 y x) |
y |
(/.f64 (sqrt.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
x |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) |
(fma.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) |
(*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y) |
(+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
y |
#s(literal 1 binary64) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) |
(fma.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(-.f64 (*.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) |
(*.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y) |
(fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) |
(-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) |
(-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) |
#s(literal 1/6 binary64) |
(/.f64 #s(literal -1/3 binary64) (*.f64 x x)) |
#s(literal -1/3 binary64) |
(*.f64 x x) |
x |
(/.f64 #s(literal -1/2 binary64) x) |
#s(literal -1/2 binary64) |
(neg.f64 y) |
y |
(+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) |
(exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) |
#s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)) |
(neg.f64 y) |
y |
x |
| Outputs |
|---|
(*.f64 (sqrt.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)) (/.f64 (sqrt.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)) x)) |
(/.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) x) |
(sqrt.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)) |
(pow.f64 (/.f64 x (+.f64 y x)) x) |
(/.f64 x (+.f64 y x)) |
x |
(+.f64 y x) |
y |
(/.f64 (sqrt.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
x |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) |
(fma.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) |
(*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y) |
(+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
y |
#s(literal 1 binary64) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 y (-.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) x)) y (/.f64 #s(literal -1/2 binary64) x)))) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) |
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 y (-.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) x)) y (/.f64 #s(literal -1/2 binary64) x)))) #s(literal 1 binary64)) y #s(literal 1 binary64))) |
(fma.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(fma.f64 (-.f64 (*.f64 y (-.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) x)) y (/.f64 #s(literal -1/2 binary64) x)))) #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(-.f64 (*.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) |
(-.f64 (*.f64 y (-.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) x)) y (/.f64 #s(literal -1/2 binary64) x)))) #s(literal 1 binary64)) |
(*.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y) |
(*.f64 y (-.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) x)) y (/.f64 #s(literal -1/2 binary64) x)))) |
(fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) |
(fma.f64 (neg.f64 y) (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) |
(-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) |
(-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) x)) |
(-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) |
#s(literal 1/6 binary64) |
(/.f64 #s(literal -1/3 binary64) (*.f64 x x)) |
#s(literal -1/3 binary64) |
(*.f64 x x) |
x |
(/.f64 #s(literal -1/2 binary64) x) |
#s(literal -1/2 binary64) |
(neg.f64 y) |
y |
(+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) |
(exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) |
#s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)) |
(neg.f64 y) |
y |
x |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (neg.f64 y) | |
| accuracy | 0.0 | (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) | |
| accuracy | 0.01171875 | (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) | |
| accuracy | 23.897170574743566 | #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)) | |
| accuracy | 0.5442519573749646 | (*.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y) | |
| accuracy | 0.7003995982303022 | (fma.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) | |
| accuracy | 4.417490693562876 | (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) | |
| accuracy | 27.79439346363771 | #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) | |
| accuracy | 0.01171875 | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) | |
| accuracy | 0.015625 | (fma.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) | |
| accuracy | 0.0859375 | (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y) | |
| accuracy | 28.507218829168835 | #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) | |
| accuracy | 0.01171875 | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) | |
| accuracy | 14.78000781638397 | #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) | |
| accuracy | 0.00390625 | (sqrt.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)) | |
| accuracy | 0.01171875 | (*.f64 (sqrt.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)) (/.f64 (sqrt.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)) x)) | |
| accuracy | 0.0234375 | (/.f64 x (+.f64 y x)) | |
| accuracy | 13.976970031126406 | (pow.f64 (/.f64 x (+.f64 y x)) x) |
| 147.0ms | 119× | 1 | valid |
| 71.0ms | 37× | 2 | valid |
| 30.0ms | 100× | 0 | valid |
Compiled 331 to 39 computations (88.2% saved)
ival-log: 40.0ms (18.5% of total)ival-add: 38.0ms (17.6% of total)ival-pow: 35.0ms (16.2% of total)ival-div: 34.0ms (15.7% of total)adjust: 24.0ms (11.1% of total)ival-mult: 20.0ms (9.2% of total)const: 9.0ms (4.2% of total)ival-sub: 8.0ms (3.7% of total)ival-exp: 3.0ms (1.4% of total)ival-sqrt: 3.0ms (1.4% of total)exact: 1.0ms (0.5% of total)ival-neg: 1.0ms (0.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (sqrt.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)) (/.f64 (sqrt.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)) x)) |
(sqrt.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)) |
(pow.f64 (/.f64 x (+.f64 y x)) x) |
(/.f64 x (+.f64 y x)) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) |
(fma.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) |
(-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) |
(*.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) |
(/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) |
(exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) |
#s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)) |
(neg.f64 y) |
(*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y) |
(fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) |
(fma.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) |
| Outputs |
|---|
(/ 1 x) |
(/ (+ 1 (* x (+ (log x) (log (/ 1 y))))) x) |
(/ (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y))))))) x) |
(/ (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (* x (+ (* -1 (/ (+ (log x) (log (/ 1 y))) y)) (+ (* 1/6 (pow (+ (log x) (log (/ 1 y))) 3)) (* 1/2 (/ 1 (pow y 2))))))) (/ 1 y))))))) x) |
1 |
(+ 1 (* 1/2 (* x (+ (log x) (log (/ 1 y)))))) |
(+ 1 (* x (+ (* 1/2 (* x (- (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (+ (* 1/4 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y))))) (* 1/2 (+ (log x) (log (/ 1 y))))))) |
(+ 1 (* x (+ (* 1/2 (+ (log x) (log (/ 1 y)))) (* x (+ (* 1/2 (* x (- (+ (* -1 (/ (+ (log x) (log (/ 1 y))) y)) (+ (* 1/6 (pow (+ (log x) (log (/ 1 y))) 3)) (* 1/2 (/ 1 (pow y 2))))) (* 1/2 (* (+ (log x) (log (/ 1 y))) (- (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (+ (* 1/4 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y)))))))) (* 1/2 (- (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (+ (* 1/4 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y))))))))) |
(+ 1 (* x (+ (log x) (log (/ 1 y))))) |
(+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y))))))) |
(+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (* x (+ (* -1 (/ (+ (log x) (log (/ 1 y))) y)) (+ (* 1/6 (pow (+ (log x) (log (/ 1 y))) 3)) (* 1/2 (/ 1 (pow y 2))))))) (/ 1 y))))))) |
(/ x y) |
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y))) |
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y))) |
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))) |
(* 1/2 (/ (pow y 2) x)) |
(/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) x) |
(* 1/2 (/ y x)) |
(/ (+ (* 1/2 y) (* x (- (* 1/2 y) 1))) x) |
(/ 1/3 (pow x 2)) |
(/ (+ 1/3 (* 1/2 x)) (pow x 2)) |
(/ (+ 1/3 (* x (+ 1/2 (* 1/6 x)))) (pow x 2)) |
(* -1/3 (/ (pow y 2) (pow x 2))) |
(/ (+ (* -1/3 (pow y 2)) (* x (* y (+ 1/2 (* -1/2 y))))) (pow x 2)) |
(/ (+ (* -1/3 (pow y 2)) (* x (+ (* x (* y (+ 1/2 (* -1/6 y)))) (* y (+ 1/2 (* -1/2 y)))))) (pow x 2)) |
(* x (+ (log x) (log (/ 1 y)))) |
(* x (+ (log x) (+ (log (/ 1 y)) (* -1 (/ x y))))) |
(* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (/ x (pow y 2))) (/ 1 y)))))) |
(* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* x (+ (* -1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y)))))) |
(/ (+ (* 1/2 y) (* 1/2 (* x y))) x) |
(* -1/3 (/ y (pow x 2))) |
(/ (+ (* -1/3 y) (* x (+ 1/2 (* -1/2 y)))) (pow x 2)) |
(/ (+ (* -1/3 y) (* x (+ 1/2 (+ (* -1/2 y) (* x (+ 1/2 (* -1/6 y))))))) (pow x 2)) |
(* -1/3 (/ (pow y 3) (pow x 2))) |
(/ (+ (* -1/3 (pow y 3)) (* x (* (pow y 2) (+ 1/2 (* -1/2 y))))) (pow x 2)) |
(/ (+ (* -1/3 (pow y 3)) (* x (+ (* x (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1)))) (* (pow y 2) (+ 1/2 (* -1/2 y)))))) (pow x 2)) |
(/ (exp (* -1 y)) x) |
(/ (+ (exp (* -1 y)) (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) x) |
(/ (+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2)))) x) |
(/ (+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (+ (/ (* (exp (* -1 y)) (+ (* 1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (+ (* 1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) (pow x 3)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2))))) x) |
(sqrt (exp (* -1 y))) |
(+ (sqrt (exp (* -1 y))) (* 1/4 (* (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) x) (sqrt (exp (* -1 y)))))) |
(+ (sqrt (exp (* -1 y))) (+ (* 1/4 (* (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) x) (sqrt (exp (* -1 y))))) (* 1/2 (* (/ (- (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (* 1/16 (* (exp (* -1 y)) (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)))) (pow x 2)) (sqrt (/ 1 (exp (* -1 y)))))))) |
(+ (sqrt (exp (* -1 y))) (+ (* 1/4 (* (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) x) (sqrt (exp (* -1 y))))) (+ (* 1/2 (* (/ (- (* (exp (* -1 y)) (+ (* 1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (+ (* 1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) (* 1/4 (* (+ (* -1 (pow y 2)) (* 2 (pow y 2))) (- (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (* 1/16 (* (exp (* -1 y)) (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2))))))) (pow x 3)) (sqrt (/ 1 (exp (* -1 y)))))) (* 1/2 (* (/ (- (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (* 1/16 (* (exp (* -1 y)) (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)))) (pow x 2)) (sqrt (/ 1 (exp (* -1 y))))))))) |
(exp (* -1 y)) |
(+ (exp (* -1 y)) (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) |
(+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2)))) |
(+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (+ (/ (* (exp (* -1 y)) (+ (* 1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (+ (* 1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) (pow x 3)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2))))) |
(+ 1 (* -1 (/ y x))) |
(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x)) |
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))) |
(+ 1 (* y (- (* 1/2 y) 1))) |
(+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1)))) |
(- (* 1/2 y) 1) |
(- (+ (* 1/2 y) (* 1/2 (/ y x))) 1) |
1/6 |
(+ 1/6 (* 1/2 (/ 1 x))) |
(+ 1/6 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) |
(* y (+ 1/2 (* -1/6 y))) |
(+ (* y (+ 1/2 (* -1/6 y))) (/ (* y (+ 1/2 (* -1/2 y))) x)) |
(+ (* -1/3 (/ (pow y 2) (pow x 2))) (+ (* y (+ 1/2 (* -1/6 y))) (/ (* y (+ 1/2 (* -1/2 y))) x))) |
(* -1 y) |
(+ (* -1 y) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) x))) |
(+ (* -1 y) (+ (* 1/6 (/ (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (pow x 2))) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) x)))) |
(+ (* -1 y) (+ (* 1/24 (/ (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4))))) (pow x 3))) (+ (* 1/6 (/ (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (pow x 2))) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) x))))) |
(* 1/2 y) |
(+ (* 1/2 y) (* 1/2 (/ y x))) |
(+ 1/2 (* -1/6 y)) |
(+ 1/2 (+ (* -1/2 (/ y x)) (+ (* -1/6 y) (* 1/2 (/ 1 x))))) |
(+ 1/2 (+ (* -1/2 (/ y x)) (+ (* -1/3 (/ y (pow x 2))) (+ (* -1/6 y) (* 1/2 (/ 1 x)))))) |
(+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) |
(+ 1 (+ (* y (- (* y (+ 1/2 (* -1/6 y))) 1)) (/ (* (pow y 2) (+ 1/2 (* -1/2 y))) x))) |
(+ 1 (+ (* -1/3 (/ (pow y 3) (pow x 2))) (+ (* y (- (* y (+ 1/2 (* -1/6 y))) 1)) (/ (* (pow y 2) (+ 1/2 (* -1/2 y))) x)))) |
(* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) x)) |
(* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1 (/ (+ (* 1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (/ (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)))) x)) x))) x)) |
(* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2))))) (/ (* (exp (* -1 y)) (+ (* -1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) x)) x)) (* 1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))) x))) x)) |
(+ (sqrt (exp (* -1 y))) (* -1 (/ (+ (* -1/2 (* (/ (- (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)))) (* 1/16 (* (exp (* -1 y)) (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)))) x) (sqrt (/ 1 (exp (* -1 y)))))) (* -1/4 (* (sqrt (exp (* -1 y))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))) x))) |
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(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x))) |
(+ (* -1 (/ (* y (- (* 1/2 y) 1/2)) x)) (* y (+ 1/2 (* -1/6 y)))) |
(+ (* -1 (/ (+ (* 1/3 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1/2))) x)) (* y (+ 1/2 (* -1/6 y)))) |
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(+ 1 (* y (- (* y (+ 1/2 (+ (* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) (* 1/2 (/ 1 x))))) 1))) |
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x)))) |
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)))) |
-1 |
(- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1) |
(* y (+ 1/2 (* 1/2 (/ 1 x)))) |
(* y (+ 1/2 (+ (* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) (* 1/2 (/ 1 x))))) |
(* y (- (* 1/2 (/ y x)) 1)) |
(* y (- (* y (+ (* -1/3 (/ y (pow x 2))) (* 1/2 (/ 1 x)))) 1)) |
(* y (- (* y (+ (* y (- (* 1/4 (/ y (pow x 3))) (* 1/3 (/ 1 (pow x 2))))) (* 1/2 (/ 1 x)))) 1)) |
(+ 1/2 (* 1/2 (/ 1 x))) |
(+ 1/2 (+ (* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) (* 1/2 (/ 1 x)))) |
(/ (exp (* x (+ (log x) (log (/ 1 y))))) x) |
(+ (* -1 (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (/ (exp (* x (+ (log x) (log (/ 1 y))))) x)) |
(+ (* -1 (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (+ (/ (exp (* x (+ (log x) (log (/ 1 y))))) x) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x (pow y 2))))) |
(+ (* -1 (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (+ (/ (exp (* x (+ (log x) (log (/ 1 y))))) x) (+ (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (+ (* -1/6 (pow x 6)) (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* -2 (pow x 3)) (* 6 (pow x 3))))))))) (* x (pow y 3))) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x (pow y 2)))))) |
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(exp (* x (+ (log x) (log (/ 1 y))))) |
(+ (exp (* x (+ (log x) (log (/ 1 y))))) (* -1 (/ (* (pow x 2) (exp (* x (+ (log x) (log (/ 1 y)))))) y))) |
(+ (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1 (/ (* (pow x 2) (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (pow y 2)))) |
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(/ (+ x (* -1 (/ (pow x 2) y))) y) |
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y) |
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y) |
(* (pow y 2) (+ 1/2 (* 1/2 (/ 1 x)))) |
(* (pow y 2) (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1 y))) |
(* (pow y 2) (- (+ 1/2 (+ (* 1/2 (/ 1 x)) (/ 1 (pow y 2)))) (/ 1 y))) |
(* y (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1 y))) |
(* -1 (* (pow y 2) (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) |
(* (pow y 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (+ (/ 1/2 (* x y)) (* 1/2 (/ 1 y))))) |
(+ (* -1 (/ (pow x 2) y)) (* x (+ (log x) (log (/ 1 y))))) |
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(* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) |
(* y (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (+ (/ 1/2 (* x y)) (* 1/2 (/ 1 y))))) |
(* -1 (* (pow y 3) (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) |
(* (pow y 3) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (+ (/ 1/2 (* x y)) (* 1/2 (/ 1 y))))) |
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(* (pow y 3) (- (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (+ (/ 1/2 (* x y)) (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 3))))) (/ 1 (pow y 2)))) |
(/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x) |
(+ (* -1 (/ (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x)) |
(+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x y))) (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3)))))) (+ (* 1/6 (pow x 6)) (* 1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))))) (* x y))) (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) x)) y)) (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x)) |
(sqrt (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))) |
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(exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) |
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))) y))) |
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) y)) (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y))) |
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3)))))) (+ (* 1/6 (pow x 6)) (* 1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))))) y)) (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4))))) y)) (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y))) |
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y)) |
(* (pow y 2) (+ 1/2 (+ (* -1 (/ (- 1 (/ 1 y)) y)) (* 1/2 (/ 1 x))))) |
(* -1 (* y (+ (* -1 (+ 1/2 (* 1/2 (/ 1 x)))) (/ 1 y)))) |
(* x (+ (log (* -1 x)) (log (/ -1 y)))) |
(+ (* -1 (/ (pow x 2) y)) (* x (+ (log (* -1 x)) (log (/ -1 y))))) |
(+ (* -1 (/ (+ (* -1/2 (/ (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2)))) y)) (pow x 2)) y)) (* x (+ (log (* -1 x)) (log (/ -1 y))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3))))) y)) (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))) y)) (pow x 2)) y)) (* x (+ (log (* -1 x)) (log (/ -1 y))))) |
(* -1 (* y (+ 1/6 (+ (* -1 (/ (+ 1/2 (* 1/2 (/ 1 x))) y)) (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))) |
(* -1 (* (pow y 3) (+ 1/6 (+ (* -1 (/ (+ 1/2 (* 1/2 (/ 1 x))) y)) (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))) |
(* -1 (* (pow y 3) (+ 1/6 (+ (* -1 (/ (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1 y)) y)) (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))) |
(* -1 (* (pow y 3) (+ 1/6 (+ (* -1 (/ (+ 1/2 (+ (* -1 (/ (- 1 (/ 1 y)) y)) (* 1/2 (/ 1 x)))) y)) (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 22.0ms | y | @ | -inf | ((* (sqrt (pow (/ x (+ y x)) x)) (/ (sqrt (pow (/ x (+ y x)) x)) x)) (sqrt (pow (/ x (+ y x)) x)) (pow (/ x (+ y x)) x) (/ x (+ y x)) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (- (* (+ (/ 1/2 x) 1/2) y) 1) (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) y) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (* x (log (/ x (+ x y)))) (neg y) (* (+ (/ 1/2 x) 1/2) y) (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (+ (* (- (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) y) 1) y) 1)) |
| 6.0ms | x | @ | inf | ((* (sqrt (pow (/ x (+ y x)) x)) (/ (sqrt (pow (/ x (+ y x)) x)) x)) (sqrt (pow (/ x (+ y x)) x)) (pow (/ x (+ y x)) x) (/ x (+ y x)) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (- (* (+ (/ 1/2 x) 1/2) y) 1) (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) y) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (* x (log (/ x (+ x y)))) (neg y) (* (+ (/ 1/2 x) 1/2) y) (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (+ (* (- (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) y) 1) y) 1)) |
| 5.0ms | y | @ | inf | ((* (sqrt (pow (/ x (+ y x)) x)) (/ (sqrt (pow (/ x (+ y x)) x)) x)) (sqrt (pow (/ x (+ y x)) x)) (pow (/ x (+ y x)) x) (/ x (+ y x)) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (- (* (+ (/ 1/2 x) 1/2) y) 1) (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) y) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (* x (log (/ x (+ x y)))) (neg y) (* (+ (/ 1/2 x) 1/2) y) (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (+ (* (- (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) y) 1) y) 1)) |
| 4.0ms | x | @ | -inf | ((* (sqrt (pow (/ x (+ y x)) x)) (/ (sqrt (pow (/ x (+ y x)) x)) x)) (sqrt (pow (/ x (+ y x)) x)) (pow (/ x (+ y x)) x) (/ x (+ y x)) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (- (* (+ (/ 1/2 x) 1/2) y) 1) (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) y) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (* x (log (/ x (+ x y)))) (neg y) (* (+ (/ 1/2 x) 1/2) y) (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (+ (* (- (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) y) 1) y) 1)) |
| 3.0ms | x | @ | 0 | ((* (sqrt (pow (/ x (+ y x)) x)) (/ (sqrt (pow (/ x (+ y x)) x)) x)) (sqrt (pow (/ x (+ y x)) x)) (pow (/ x (+ y x)) x) (/ x (+ y x)) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (- (* (+ (/ 1/2 x) 1/2) y) 1) (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) y) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (* x (log (/ x (+ x y)))) (neg y) (* (+ (/ 1/2 x) 1/2) y) (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (+ (* (- (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) y) 1) y) 1)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 800 | 5091 |
| 1 | 2900 | 4387 |
| 0 | 8500 | 4158 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 x) |
(/ (+ 1 (* x (+ (log x) (log (/ 1 y))))) x) |
(/ (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y))))))) x) |
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1 |
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(/ x y) |
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(/ (exp (* -1 y)) x) |
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(- (* 1/2 y) 1) |
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1/6 |
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(+ (* -1 (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (/ (exp (* x (+ (log x) (log (/ 1 y))))) x)) |
(+ (* -1 (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (+ (/ (exp (* x (+ (log x) (log (/ 1 y))))) x) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x (pow y 2))))) |
(+ (* -1 (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (+ (/ (exp (* x (+ (log x) (log (/ 1 y))))) x) (+ (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (+ (* -1/6 (pow x 6)) (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* -2 (pow x 3)) (* 6 (pow x 3))))))))) (* x (pow y 3))) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x (pow y 2)))))) |
(sqrt (exp (* x (+ (log x) (log (/ 1 y)))))) |
(+ (sqrt (exp (* x (+ (log x) (log (/ 1 y)))))) (* -1/2 (* (/ (pow x 2) y) (sqrt (exp (* x (+ (log x) (log (/ 1 y))))))))) |
(+ (sqrt (exp (* x (+ (log x) (log (/ 1 y)))))) (+ (* -1/2 (* (/ (pow x 2) y) (sqrt (exp (* x (+ (log x) (log (/ 1 y)))))))) (* 1/2 (* (/ (- (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* 1/4 (* (pow x 4) (exp (* x (+ (log x) (log (/ 1 y)))))))) (pow y 2)) (sqrt (/ 1 (exp (* x (+ (log x) (log (/ 1 y))))))))))) |
(+ (sqrt (exp (* x (+ (log x) (log (/ 1 y)))))) (+ (* -1/2 (* (/ (pow x 2) y) (sqrt (exp (* x (+ (log x) (log (/ 1 y)))))))) (+ (* 1/2 (* (/ (- (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (+ (* -1/6 (pow x 6)) (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* -2 (pow x 3)) (* 6 (pow x 3))))))))) (* -1/2 (* (pow x 2) (- (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* 1/4 (* (pow x 4) (exp (* x (+ (log x) (log (/ 1 y))))))))))) (pow y 3)) (sqrt (/ 1 (exp (* x (+ (log x) (log (/ 1 y))))))))) (* 1/2 (* (/ (- (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* 1/4 (* (pow x 4) (exp (* x (+ (log x) (log (/ 1 y)))))))) (pow y 2)) (sqrt (/ 1 (exp (* x (+ (log x) (log (/ 1 y)))))))))))) |
(exp (* x (+ (log x) (log (/ 1 y))))) |
(+ (exp (* x (+ (log x) (log (/ 1 y))))) (* -1 (/ (* (pow x 2) (exp (* x (+ (log x) (log (/ 1 y)))))) y))) |
(+ (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1 (/ (* (pow x 2) (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (pow y 2)))) |
(+ (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1 (/ (* (pow x 2) (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (+ (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (+ (* -1/6 (pow x 6)) (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* -2 (pow x 3)) (* 6 (pow x 3))))))))) (pow y 3)) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (pow y 2))))) |
(/ (+ x (* -1 (/ (pow x 2) y))) y) |
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y) |
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y) |
(* (pow y 2) (+ 1/2 (* 1/2 (/ 1 x)))) |
(* (pow y 2) (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1 y))) |
(* (pow y 2) (- (+ 1/2 (+ (* 1/2 (/ 1 x)) (/ 1 (pow y 2)))) (/ 1 y))) |
(* y (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1 y))) |
(* -1 (* (pow y 2) (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) |
(* (pow y 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (+ (/ 1/2 (* x y)) (* 1/2 (/ 1 y))))) |
(+ (* -1 (/ (pow x 2) y)) (* x (+ (log x) (log (/ 1 y))))) |
(+ (* -1 (/ (pow x 2) y)) (+ (* 1/2 (/ (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2)))) (pow y 2))) (* x (+ (log x) (log (/ 1 y)))))) |
(+ (* -1 (/ (pow x 2) y)) (+ (* 1/6 (/ (* x (+ (* -6 (pow x 3)) (+ (* -2 (pow x 3)) (* 6 (pow x 3))))) (pow y 3))) (+ (* 1/2 (/ (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2)))) (pow y 2))) (* x (+ (log x) (log (/ 1 y))))))) |
(* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) |
(* y (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (+ (/ 1/2 (* x y)) (* 1/2 (/ 1 y))))) |
(* -1 (* (pow y 3) (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) |
(* (pow y 3) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (+ (/ 1/2 (* x y)) (* 1/2 (/ 1 y))))) |
(* (pow y 3) (- (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (+ (/ 1/2 (* x y)) (* 1/2 (/ 1 y)))) (/ 1 (pow y 2)))) |
(* (pow y 3) (- (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (+ (/ 1/2 (* x y)) (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 3))))) (/ 1 (pow y 2)))) |
(/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x) |
(+ (* -1 (/ (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x)) |
(+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x y))) (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3)))))) (+ (* 1/6 (pow x 6)) (* 1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))))) (* x y))) (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) x)) y)) (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x)) |
(sqrt (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))) |
(+ (sqrt (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))) (* -1/2 (* (/ (pow x 2) y) (sqrt (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))))) |
(+ (sqrt (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))) (* -1 (/ (+ (* -1/2 (* (/ (- (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* 1/4 (* (pow x 4) (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))))) y) (sqrt (/ 1 (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))))) (* 1/2 (* (pow x 2) (sqrt (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))))) y))) |
(+ (sqrt (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (/ (- (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3)))))) (+ (* 1/6 (pow x 6)) (* 1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))))) (* 1/2 (* (pow x 2) (- (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* 1/4 (* (pow x 4) (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))))))) y) (sqrt (/ 1 (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))))) (* 1/2 (* (sqrt (/ 1 (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) (- (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* 1/4 (* (pow x 4) (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))))))) y)) (* 1/2 (* (pow x 2) (sqrt (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))))) y))) |
(exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) |
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))) y))) |
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) y)) (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y))) |
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3)))))) (+ (* 1/6 (pow x 6)) (* 1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))))) y)) (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4))))) y)) (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y))) |
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y)) |
(* (pow y 2) (+ 1/2 (+ (* -1 (/ (- 1 (/ 1 y)) y)) (* 1/2 (/ 1 x))))) |
(* -1 (* y (+ (* -1 (+ 1/2 (* 1/2 (/ 1 x)))) (/ 1 y)))) |
(* x (+ (log (* -1 x)) (log (/ -1 y)))) |
(+ (* -1 (/ (pow x 2) y)) (* x (+ (log (* -1 x)) (log (/ -1 y))))) |
(+ (* -1 (/ (+ (* -1/2 (/ (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2)))) y)) (pow x 2)) y)) (* x (+ (log (* -1 x)) (log (/ -1 y))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3))))) y)) (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))) y)) (pow x 2)) y)) (* x (+ (log (* -1 x)) (log (/ -1 y))))) |
(* -1 (* y (+ 1/6 (+ (* -1 (/ (+ 1/2 (* 1/2 (/ 1 x))) y)) (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))) |
(* -1 (* (pow y 3) (+ 1/6 (+ (* -1 (/ (+ 1/2 (* 1/2 (/ 1 x))) y)) (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))) |
(* -1 (* (pow y 3) (+ 1/6 (+ (* -1 (/ (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1 y)) y)) (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))) |
(* -1 (* (pow y 3) (+ 1/6 (+ (* -1 (/ (+ 1/2 (+ (* -1 (/ (- 1 (/ 1 y)) y)) (* 1/2 (/ 1 x)))) y)) (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))) |
| Outputs |
|---|
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (* x (+ (log x) (log (/ 1 y))))) x) |
(/.f64 (fma.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) x #s(literal 1 binary64)) x) |
(/ (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y))))))) x) |
(/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) y)) x (+.f64 (neg.f64 (log.f64 y)) (log.f64 x))) x #s(literal 1 binary64)) x) |
(/ (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (* x (+ (* -1 (/ (+ (log x) (log (/ 1 y))) y)) (+ (* 1/6 (pow (+ (log x) (log (/ 1 y))) 3)) (* 1/2 (/ 1 (pow y 2))))))) (/ 1 y))))))) x) |
(/.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) #s(literal 3 binary64)) #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) (neg.f64 y)))) x (*.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) y)) x (+.f64 (neg.f64 (log.f64 y)) (log.f64 x))) x #s(literal 1 binary64)) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (* x (+ (log x) (log (/ 1 y)))))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) #s(literal 1 binary64)) |
(+ 1 (* x (+ (* 1/2 (* x (- (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (+ (* 1/4 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y))))) (* 1/2 (+ (log x) (log (/ 1 y))))))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) y)) x (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)))) x #s(literal 1 binary64)) |
(+ 1 (* x (+ (* 1/2 (+ (log x) (log (/ 1 y)))) (* x (+ (* 1/2 (* x (- (+ (* -1 (/ (+ (log x) (log (/ 1 y))) y)) (+ (* 1/6 (pow (+ (log x) (log (/ 1 y))) 3)) (* 1/2 (/ 1 (pow y 2))))) (* 1/2 (* (+ (log x) (log (/ 1 y))) (- (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (+ (* 1/4 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y)))))))) (* 1/2 (- (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (+ (* 1/4 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y))))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (fma.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) #s(literal 3 binary64)) #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) (neg.f64 y)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (neg.f64 (log.f64 y)) (log.f64 x))) (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) y)))) x (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) y)))) x (*.f64 #s(literal 1/2 binary64) (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)))) x #s(literal 1 binary64)) |
(+ 1 (* x (+ (log x) (log (/ 1 y))))) |
(fma.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) x #s(literal 1 binary64)) |
(+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y))))))) |
(fma.f64 (fma.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) y)) x (+.f64 (neg.f64 (log.f64 y)) (log.f64 x))) x #s(literal 1 binary64)) |
(+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (* x (+ (* -1 (/ (+ (log x) (log (/ 1 y))) y)) (+ (* 1/6 (pow (+ (log x) (log (/ 1 y))) 3)) (* 1/2 (/ 1 (pow y 2))))))) (/ 1 y))))))) |
(fma.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) #s(literal 3 binary64)) #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) (neg.f64 y)))) x (*.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) y)) x (+.f64 (neg.f64 (log.f64 y)) (log.f64 x))) x #s(literal 1 binary64)) |
(/ x y) |
(/.f64 x y) |
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y))) |
(*.f64 (fma.f64 (/.f64 x (*.f64 y y)) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) x) |
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y))) |
(*.f64 (fma.f64 (-.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y y))) x (/.f64 #s(literal 1 binary64) y)) x) |
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))) |
(*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) x) (/.f64 #s(literal 1 binary64) (*.f64 y y))) x (/.f64 #s(literal 1 binary64) y)) x) |
(* 1/2 (/ (pow y 2) x)) |
(*.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) |
(/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) x) |
(/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x) |
(* 1/2 (/ y x)) |
(*.f64 (/.f64 y x) #s(literal 1/2 binary64)) |
(/ (+ (* 1/2 y) (* x (- (* 1/2 y) 1))) x) |
(/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) x (*.f64 #s(literal 1/2 binary64) y)) x) |
(/ 1/3 (pow x 2)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 x x)) |
(/ (+ 1/3 (* 1/2 x)) (pow x 2)) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/3 binary64)) (*.f64 x x)) |
(/ (+ 1/3 (* x (+ 1/2 (* 1/6 x)))) (pow x 2)) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) (*.f64 x x)) |
(* -1/3 (/ (pow y 2) (pow x 2))) |
(*.f64 (/.f64 #s(literal -1/3 binary64) x) (/.f64 (*.f64 y y) x)) |
(/ (+ (* -1/3 (pow y 2)) (* x (* y (+ 1/2 (* -1/2 y))))) (pow x 2)) |
(/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x (*.f64 #s(literal -1/3 binary64) (*.f64 y y))) (*.f64 x x)) |
(/ (+ (* -1/3 (pow y 2)) (* x (+ (* x (* y (+ 1/2 (* -1/6 y)))) (* y (+ 1/2 (* -1/2 y)))))) (pow x 2)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) y) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x (*.f64 #s(literal -1/3 binary64) (*.f64 y y))) (*.f64 x x)) |
(* x (+ (log x) (log (/ 1 y)))) |
(*.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) x) |
(* x (+ (log x) (+ (log (/ 1 y)) (* -1 (/ x y))))) |
(*.f64 (+.f64 (-.f64 (neg.f64 (log.f64 y)) (/.f64 x y)) (log.f64 x)) x) |
(* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (/ x (pow y 2))) (/ 1 y)))))) |
(*.f64 (fma.f64 (-.f64 (*.f64 (/.f64 x (*.f64 y y)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) y)) x (+.f64 (neg.f64 (log.f64 y)) (log.f64 x))) x) |
(* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* x (+ (* -1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y)))))) |
(*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) x) (/.f64 #s(literal 1 binary64) y)) x (+.f64 (neg.f64 (log.f64 y)) (log.f64 x))) x) |
(/ (+ (* 1/2 y) (* 1/2 (* x y))) x) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y x y)) x) |
(* -1/3 (/ y (pow x 2))) |
(*.f64 (/.f64 y (*.f64 x x)) #s(literal -1/3 binary64)) |
(/ (+ (* -1/3 y) (* x (+ 1/2 (* -1/2 y)))) (pow x 2)) |
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(exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) |
(pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) |
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))) y))) |
(fma.f64 (*.f64 (neg.f64 x) x) (/.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) y) (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x))))) |
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) y)) (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y))) |
(-.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) (/.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) (*.f64 x x) (/.f64 (*.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 y))) y)) |
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3)))))) (+ (* 1/6 (pow x 6)) (* 1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))))) y)) (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4))))) y)) (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y))) |
(-.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) (/.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) (*.f64 x x) (/.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) (neg.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)) x (pow.f64 x #s(literal 6 binary64))) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)) (*.f64 x x))) y)) (*.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64)))))) (neg.f64 y))) y)) |
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y)) |
(/.f64 (fma.f64 #s(literal -1 binary64) x (/.f64 (*.f64 x x) y)) (neg.f64 y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y)) |
(/.f64 (-.f64 (neg.f64 x) (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (*.f64 x x)) y)) (neg.f64 y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y)) |
(/.f64 (-.f64 (neg.f64 x) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) (neg.f64 y)) (*.f64 x x)) y)) (neg.f64 y)) |
(* (pow y 2) (+ 1/2 (+ (* -1 (/ (- 1 (/ 1 y)) y)) (* 1/2 (/ 1 x))))) |
(*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y) #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) (*.f64 y y)) |
(* -1 (* y (+ (* -1 (+ 1/2 (* 1/2 (/ 1 x)))) (/ 1 y)))) |
(neg.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) y #s(literal 1 binary64))) |
(* x (+ (log (* -1 x)) (log (/ -1 y)))) |
(*.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x))) x) |
(+ (* -1 (/ (pow x 2) y)) (* x (+ (log (* -1 x)) (log (/ -1 y))))) |
(fma.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x))) x (/.f64 (*.f64 (neg.f64 x) x) y)) |
(+ (* -1 (/ (+ (* -1/2 (/ (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2)))) y)) (pow x 2)) y)) (* x (+ (log (* -1 x)) (log (/ -1 y))))) |
(fma.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x))) x (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) #s(literal -1/2 binary64) (*.f64 x x)) (neg.f64 y))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3))))) y)) (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))) y)) (pow x 2)) y)) (* x (+ (log (* -1 x)) (log (/ -1 y))))) |
(fma.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x))) x (/.f64 (fma.f64 x x (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)) x) y) #s(literal -1/6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64))) (neg.f64 y))) (neg.f64 y))) |
(* -1 (* y (+ 1/6 (+ (* -1 (/ (+ 1/2 (* 1/2 (/ 1 x))) y)) (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))) |
(*.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y) #s(literal -1 binary64) (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) x))) (neg.f64 y)) |
(* -1 (* (pow y 3) (+ 1/6 (+ (* -1 (/ (+ 1/2 (* 1/2 (/ 1 x))) y)) (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))) |
(*.f64 (neg.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y) #s(literal -1 binary64) (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) x)))) (pow.f64 y #s(literal 3 binary64))) |
(* -1 (* (pow y 3) (+ 1/6 (+ (* -1 (/ (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1 y)) y)) (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))) |
(*.f64 (neg.f64 (pow.f64 y #s(literal 3 binary64))) (+.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) y)) (neg.f64 y)) (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) x)))) |
(* -1 (* (pow y 3) (+ 1/6 (+ (* -1 (/ (+ 1/2 (+ (* -1 (/ (- 1 (/ 1 y)) y)) (* 1/2 (/ 1 x)))) y)) (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))) |
(*.f64 (neg.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y) #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y) #s(literal -1 binary64) (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) x)))) (pow.f64 y #s(literal 3 binary64))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 327 |
| 0 | 71 | 305 |
| 1 | 261 | 293 |
| 2 | 1856 | 293 |
| 0 | 8473 | 293 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (sqrt.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)) (/.f64 (sqrt.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)) x)) |
(sqrt.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)) |
(pow.f64 (/.f64 x (+.f64 y x)) x) |
(/.f64 x (+.f64 y x)) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) |
(fma.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) |
(-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) |
(*.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) |
(/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) |
(exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) |
#s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)) |
(neg.f64 y) |
(*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y) |
(fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) |
(fma.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) |
| Outputs |
|---|
(*.f64 (/.f64 (sqrt.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)) x) (sqrt.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))) |
(*.f64 (sqrt.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)) (/.f64 (sqrt.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)) x)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (sqrt.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))) (sqrt.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)))) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.f64 (*.f64 (sqrt.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)) (neg.f64 (sqrt.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))))) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))) (neg.f64 (neg.f64 x))) |
(/.f64 (fma.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))) x (*.f64 x (sinh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))))) (*.f64 x x)) |
(/.f64 (*.f64 (neg.f64 (sqrt.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))) (sqrt.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))) (neg.f64 x)) |
(/.f64 (*.f64 (sqrt.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)) (neg.f64 (sqrt.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)))) (neg.f64 x)) |
(/.f64 (neg.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)) (neg.f64 x)) |
(/.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) x) |
(+.f64 (/.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))) x) (/.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))) x)) |
(*.f64 (neg.f64 (pow.f64 (/.f64 x (+.f64 y x)) (*.f64 x #s(literal 1/4 binary64)))) (neg.f64 (pow.f64 (/.f64 x (+.f64 y x)) (*.f64 x #s(literal 1/4 binary64))))) |
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)))) (sqrt.f64 (neg.f64 (sqrt.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))))) |
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (/.f64 x (fma.f64 y y (*.f64 (neg.f64 x) x))) (*.f64 x #s(literal 1/2 binary64))) (pow.f64 (-.f64 y x) (*.f64 x #s(literal 1/2 binary64)))) |
(*.f64 (pow.f64 (/.f64 x (*.f64 (+.f64 y x) (-.f64 x y))) (*.f64 x #s(literal 1/2 binary64))) (pow.f64 (-.f64 x y) (*.f64 x #s(literal 1/2 binary64)))) |
(*.f64 (pow.f64 (/.f64 x (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x #s(literal 1/2 binary64))) (pow.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (*.f64 x #s(literal 1/2 binary64)))) |
(*.f64 (pow.f64 (/.f64 x (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x #s(literal 1/2 binary64))) (pow.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (*.f64 x #s(literal 1/2 binary64)))) |
(*.f64 (pow.f64 (/.f64 x (fma.f64 y y (*.f64 (neg.f64 x) x))) (/.f64 x #s(literal 2 binary64))) (pow.f64 (-.f64 y x) (/.f64 x #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (/.f64 x (*.f64 (+.f64 y x) (-.f64 x y))) (/.f64 x #s(literal 2 binary64))) (pow.f64 (-.f64 x y) (/.f64 x #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (/.f64 x (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 x #s(literal 2 binary64))) (pow.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (/.f64 x #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (/.f64 x (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 x #s(literal 2 binary64))) (pow.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (/.f64 x #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (/.f64 x (+.f64 y x)) (*.f64 x #s(literal 1/4 binary64))) (pow.f64 (/.f64 x (+.f64 y x)) (*.f64 x #s(literal 1/4 binary64)))) |
(pow.f64 (pow.f64 (/.f64 x (+.f64 y x)) (+.f64 x x)) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 (/.f64 x (+.f64 y x)) #s(literal 2 binary64)) (*.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
(pow.f64 (pow.f64 (/.f64 x (+.f64 y x)) #s(literal 2 binary64)) (/.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) |
(pow.f64 (pow.f64 (/.f64 x (+.f64 y x)) (*.f64 x #s(literal 1/4 binary64))) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 x) (/.f64 (log.f64 (/.f64 x (+.f64 y x))) #s(literal 2 binary64))) |
(pow.f64 (exp.f64 x) (*.f64 (log.f64 (/.f64 x (+.f64 y x))) #s(literal 1/2 binary64))) |
(pow.f64 (sqrt.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) #s(literal 1/2 binary64)) |
(pow.f64 (/.f64 x (+.f64 y x)) (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) |
(pow.f64 (/.f64 x (+.f64 y x)) (/.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) |
(pow.f64 (/.f64 x (+.f64 y x)) (+.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(pow.f64 (/.f64 x (+.f64 y x)) (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
(pow.f64 (/.f64 x (+.f64 y x)) (*.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
(pow.f64 (/.f64 x (+.f64 y x)) (*.f64 x #s(literal 1/2 binary64))) |
(pow.f64 (/.f64 x (+.f64 y x)) (/.f64 x #s(literal 2 binary64))) |
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))) #s(literal 3 binary64)))) (sqrt.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))) #s(literal 2 binary64)) (*.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))) (sinh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)))))))) |
(/.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (log.f64 x))) (sqrt.f64 (pow.f64 (exp.f64 x) (log.f64 (+.f64 y x))))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (+.f64 y x)) x)))) |
(sqrt.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)) |
(fabs.f64 (neg.f64 (sqrt.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)))) |
(fabs.f64 (sqrt.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))) |
(exp.f64 (*.f64 x (/.f64 (log.f64 (/.f64 x (+.f64 y x))) #s(literal 2 binary64)))) |
(exp.f64 (*.f64 x (*.f64 (log.f64 (/.f64 x (+.f64 y x))) #s(literal 1/2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (+.f64 y x))) (*.f64 x #s(literal 1/2 binary64)))) |
(exp.f64 (log.f64 (sqrt.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)))) |
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)))) (sinh.f64 (log.f64 (sqrt.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))))) |
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 x (fma.f64 y y (*.f64 (neg.f64 x) x))) (*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64)))) (pow.f64 (-.f64 y x) (*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64))))) |
(*.f64 (pow.f64 (/.f64 x (*.f64 (+.f64 y x) (-.f64 x y))) (*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64)))) (pow.f64 (-.f64 x y) (*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64))))) |
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(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 y) (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 y) (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y)) (pow.f64 (*.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 y) (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y) #s(literal 2 binary64)))) |
(fma.f64 (*.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 y) (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 y) (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) (*.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 y) (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 y) (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y) #s(literal 1 binary64)) |
(fma.f64 y (*.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 y) (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 y (-.f64 (*.f64 (fma.f64 (neg.f64 y) (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(-.f64 (/.f64 (pow.f64 (*.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 y) (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 y) (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y) #s(literal 1 binary64))) (pow.f64 (-.f64 (*.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 y) (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 y) (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y) #s(literal 1 binary64))) y)) |
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) (-.f64 (*.f64 (fma.f64 (neg.f64 y) (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y) #s(literal 1 binary64)))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 y) (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y) #s(literal 3 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 y) (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y)) (pow.f64 (*.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 y) (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y) #s(literal 2 binary64)))) (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 y) (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y)) (pow.f64 (*.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 y) (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(+.f64 (*.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 y) (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 y) (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y)) |
Compiled 34 903 to 3 757 computations (89.2% saved)
13 alts after pruning (11 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 736 | 9 | 745 |
| Fresh | 2 | 2 | 4 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 741 | 13 | 754 |
| Status | Accuracy | Program |
|---|---|---|
| 78.4% | (/.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) x) | |
| ✓ | 77.7% | (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) |
| ▶ | 60.7% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) |
| 31.0% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) x (*.f64 #s(literal -1/3 binary64) y)) (*.f64 x x))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) | |
| ▶ | 57.0% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y x y)) x)) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) |
| 59.4% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (*.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) | |
| 37.1% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) y) (/.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) y) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x (*.f64 #s(literal -1/3 binary64) (*.f64 y y))) (*.f64 x x))) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) | |
| ▶ | 55.7% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) x) |
| 55.7% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x))) x) | |
| 4.7% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (*.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64)))) x) | |
| ✓ | 77.1% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) |
| ▶ | 78.4% | (*.f64 (pow.f64 (/.f64 x (+.f64 y x)) (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)) x)) |
| ▶ | 46.1% | #s(approx (* (sqrt (pow (/ x (+ y x)) x)) (/ (sqrt (pow (/ x (+ y x)) x)) x)) (fma.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) y) (/.f64 #s(literal 1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))) |
Compiled 805 to 516 computations (35.9% saved)
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) y) (/.f64 #s(literal 1 binary64) x)) | |
| cost-diff | 0 | (fma.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) y) (/.f64 #s(literal 1 binary64) x)) y (/.f64 #s(literal 1 binary64) x)) | |
| cost-diff | 0 | #s(approx (* (sqrt (pow (/ x (+ y x)) x)) (/ (sqrt (pow (/ x (+ y x)) x)) x)) (fma.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) y) (/.f64 #s(literal 1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))) | |
| cost-diff | 2 | (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) | |
| cost-diff | 0 | (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y x y)) x)) #s(literal 1 binary64)) y #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y x y)) x)) #s(literal 1 binary64)) y #s(literal 1 binary64))) | |
| cost-diff | 0 | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y x y)) x)) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) | |
| cost-diff | 1 | (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y x y)) x) | |
| cost-diff | 0 | (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) | |
| cost-diff | 0 | (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) | |
| cost-diff | 0 | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) y) | |
| cost-diff | 0 | #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) | |
| cost-diff | 0 | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) x) | |
| cost-diff | 0 | (+.f64 y x) | |
| cost-diff | 0 | (/.f64 x (+.f64 y x)) | |
| cost-diff | 0 | (pow.f64 (/.f64 x (+.f64 y x)) (*.f64 x #s(literal 1/2 binary64))) | |
| cost-diff | 0 | (*.f64 (pow.f64 (/.f64 x (+.f64 y x)) (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)) x)) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 65 | 564 |
| 0 | 100 | 564 |
| 1 | 155 | 514 |
| 2 | 288 | 514 |
| 3 | 550 | 508 |
| 4 | 1250 | 508 |
| 5 | 4267 | 508 |
| 0 | 8285 | 508 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (pow.f64 (/.f64 x (+.f64 y x)) (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)) x)) |
(pow.f64 (/.f64 x (+.f64 y x)) (*.f64 x #s(literal 1/2 binary64))) |
(/.f64 x (+.f64 y x)) |
x |
(+.f64 y x) |
y |
(*.f64 x #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(/.f64 (sqrt.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)) x) |
(sqrt.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)) |
(pow.f64 (/.f64 x (+.f64 y x)) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) |
(-.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
x |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) |
(fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) |
(*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y) |
#s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) |
(fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) |
#s(literal -1/6 binary64) |
y |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
x |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y x y)) x)) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y x y)) x)) #s(literal 1 binary64)) y #s(literal 1 binary64))) |
(fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y x y)) x)) #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y x y)) x)) #s(literal 1 binary64)) |
#s(approx (* (+ (/ 1/2 x) 1/2) y) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y x y)) x)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y x y)) x) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 y x y)) |
#s(literal 1/2 binary64) |
(fma.f64 y x y) |
y |
x |
#s(literal 1 binary64) |
#s(approx (* (sqrt (pow (/ x (+ y x)) x)) (/ (sqrt (pow (/ x (+ y x)) x)) x)) (fma.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) y) (/.f64 #s(literal 1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))) |
(fma.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) y) (/.f64 #s(literal 1 binary64) x)) y (/.f64 #s(literal 1 binary64) x)) |
(-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) y) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) y) |
(+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
#s(literal 1/2 binary64) |
(*.f64 x x) |
x |
(/.f64 #s(literal 1/2 binary64) x) |
y |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 x (+.f64 y x)) (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)) x)) |
(*.f64 (/.f64 (sqrt.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)) x) (pow.f64 (/.f64 x (+.f64 y x)) (*.f64 #s(literal 1/2 binary64) x))) |
(pow.f64 (/.f64 x (+.f64 y x)) (*.f64 x #s(literal 1/2 binary64))) |
(pow.f64 (/.f64 x (+.f64 y x)) (*.f64 #s(literal 1/2 binary64) x)) |
(/.f64 x (+.f64 y x)) |
x |
(+.f64 y x) |
y |
(*.f64 x #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
(/.f64 (sqrt.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)) x) |
(sqrt.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)) |
(pow.f64 (/.f64 x (+.f64 y x)) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) |
(-.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
x |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) |
(fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) |
(*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y) |
#s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) |
(fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) |
#s(literal -1/6 binary64) |
y |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
x |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y x y)) x)) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x)) y)) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y x y)) x)) #s(literal 1 binary64)) y #s(literal 1 binary64))) |
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x)) y)) #s(literal 1 binary64)) y #s(literal 1 binary64))) |
(fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y x y)) x)) #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x)) y)) #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y x y)) x)) #s(literal 1 binary64)) |
(-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x)) y)) #s(literal 1 binary64)) |
#s(approx (* (+ (/ 1/2 x) 1/2) y) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y x y)) x)) |
#s(approx (* (+ (/ 1/2 x) 1/2) y) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x)) y)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y x y)) x) |
(*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x)) y) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 y x y)) |
(*.f64 (fma.f64 y x y) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(fma.f64 y x y) |
y |
x |
#s(literal 1 binary64) |
#s(approx (* (sqrt (pow (/ x (+ y x)) x)) (/ (sqrt (pow (/ x (+ y x)) x)) x)) (fma.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) y) (/.f64 #s(literal 1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))) |
#s(approx (* (sqrt (pow (/ x (+ y x)) x)) (/ (sqrt (pow (/ x (+ y x)) x)) x)) (fma.f64 (-.f64 (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) x) y) (/.f64 #s(literal 1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))) |
(fma.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) y) (/.f64 #s(literal 1 binary64) x)) y (/.f64 #s(literal 1 binary64) x)) |
(fma.f64 (-.f64 (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) x) y) (/.f64 #s(literal 1 binary64) x)) y (/.f64 #s(literal 1 binary64) x)) |
(-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) y) (/.f64 #s(literal 1 binary64) x)) |
(-.f64 (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) x) y) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) y) |
(*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) x) y) |
(+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) |
(/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x) |
(/.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
#s(literal 1/2 binary64) |
(*.f64 x x) |
x |
(/.f64 #s(literal 1/2 binary64) x) |
y |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.3747248200727974 | (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) | |
| accuracy | 0.5133824570206418 | (fma.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) y) (/.f64 #s(literal 1 binary64) x)) y (/.f64 #s(literal 1 binary64) x)) | |
| accuracy | 4.422882792952154 | (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) y) | |
| accuracy | 30.122199521391426 | #s(approx (* (sqrt (pow (/ x (+ y x)) x)) (/ (sqrt (pow (/ x (+ y x)) x)) x)) (fma.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) y) (/.f64 #s(literal 1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))) | |
| accuracy | 0.01171875 | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y x y)) x)) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) | |
| accuracy | 0.015625 | (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y x y)) x)) #s(literal 1 binary64)) y #s(literal 1 binary64)) | |
| accuracy | 7.118583641282915 | (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y x y)) x) | |
| accuracy | 28.507218829168835 | #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y x y)) x)) #s(literal 1 binary64)) y #s(literal 1 binary64))) | |
| accuracy | 0.5442519573749646 | (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y) | |
| accuracy | 0.7003995982303022 | (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) | |
| accuracy | 27.79439346363771 | #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) | |
| accuracy | 28.638155140351184 | #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) | |
| accuracy | 0.0 | (-.f64 #s(literal 1 binary64) y) | |
| accuracy | 0.01171875 | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) x) | |
| accuracy | 28.379580859215718 | #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) | |
| accuracy | 0.01171875 | (*.f64 (pow.f64 (/.f64 x (+.f64 y x)) (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)) x)) | |
| accuracy | 0.0234375 | (/.f64 x (+.f64 y x)) | |
| accuracy | 13.962966223269751 | (pow.f64 (/.f64 x (+.f64 y x)) (*.f64 x #s(literal 1/2 binary64))) | |
| accuracy | 13.976970031126406 | (pow.f64 (/.f64 x (+.f64 y x)) x) |
| 242.0ms | 108× | 1 | valid |
| 90.0ms | 148× | 0 | valid |
Compiled 387 to 57 computations (85.3% saved)
ival-pow: 103.0ms (34.1% of total)ival-mult: 46.0ms (15.2% of total)const: 40.0ms (13.3% of total)ival-add: 28.0ms (9.3% of total)ival-div: 28.0ms (9.3% of total)adjust: 21.0ms (7% of total)ival-log: 15.0ms (5% of total)ival-sub: 12.0ms (4% of total)ival-exp: 3.0ms (1% of total)ival-sqrt: 3.0ms (1% of total)exact: 1.0ms (0.3% of total)ival-neg: 1.0ms (0.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (pow.f64 (/.f64 x (+.f64 y x)) (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)) x)) |
(pow.f64 (/.f64 x (+.f64 y x)) (*.f64 x #s(literal 1/2 binary64))) |
(/.f64 x (+.f64 y x)) |
(+.f64 y x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) |
(-.f64 #s(literal 1 binary64) y) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) |
(fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y x y)) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y x y)) x)) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y x y)) x)) #s(literal 1 binary64)) y #s(literal 1 binary64))) |
(fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y x y)) x)) #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) |
#s(approx (* (sqrt (pow (/ x (+ y x)) x)) (/ (sqrt (pow (/ x (+ y x)) x)) x)) (fma.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) y) (/.f64 #s(literal 1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))) |
(fma.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) y) (/.f64 #s(literal 1 binary64) x)) y (/.f64 #s(literal 1 binary64) x)) |
(-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) y) (/.f64 #s(literal 1 binary64) x)) |
(pow.f64 (/.f64 x (+.f64 y x)) x) |
#s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) |
(*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y) |
(*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) y) |
(/.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
| Outputs |
|---|
(/ 1 x) |
(/ (+ 1 (* x (+ (log x) (log (/ 1 y))))) x) |
(/ (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (+ (* 1/8 (pow (+ (log x) (log (/ 1 y))) 2)) (+ (* 1/4 (pow (+ (log x) (log (/ 1 y))) 2)) (* 1/2 (- (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (+ (* 1/4 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y)))))) (* 1/2 (/ 1 y)))))))) x) |
(/ (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (+ (* 1/8 (pow (+ (log x) (log (/ 1 y))) 2)) (+ (* 1/4 (pow (+ (log x) (log (/ 1 y))) 2)) (+ (* 1/2 (- (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (+ (* 1/4 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y)))) (* x (+ (* -1/4 (/ (+ (log x) (log (/ 1 y))) y)) (+ (* 1/48 (pow (+ (log x) (log (/ 1 y))) 3)) (+ (* 1/4 (* (+ (log x) (log (/ 1 y))) (- (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (+ (* 1/4 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y))))) (+ (* 1/4 (/ 1 (pow y 2))) (+ (* 1/2 (* (+ (log x) (log (/ 1 y))) (- (* 1/8 (pow (+ (log x) (log (/ 1 y))) 2)) (* 1/2 (/ 1 y))))) (* 1/2 (- (+ (* -1 (/ (+ (log x) (log (/ 1 y))) y)) (+ (* 1/6 (pow (+ (log x) (log (/ 1 y))) 3)) (* 1/2 (/ 1 (pow y 2))))) (* 1/2 (* (+ (log x) (log (/ 1 y))) (- (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (+ (* 1/4 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y)))))))))))))))) (* 1/2 (/ 1 y)))))))) x) |
1 |
(+ 1 (* 1/2 (* x (+ (log x) (log (/ 1 y)))))) |
(+ 1 (* x (+ (* 1/2 (+ (log x) (log (/ 1 y)))) (* x (- (* 1/8 (pow (+ (log x) (log (/ 1 y))) 2)) (* 1/2 (/ 1 y))))))) |
(+ 1 (* x (+ (* 1/2 (+ (log x) (log (/ 1 y)))) (* x (- (+ (* 1/8 (pow (+ (log x) (log (/ 1 y))) 2)) (* x (+ (* -1/4 (/ (+ (log x) (log (/ 1 y))) y)) (+ (* 1/48 (pow (+ (log x) (log (/ 1 y))) 3)) (* 1/4 (/ 1 (pow y 2))))))) (* 1/2 (/ 1 y))))))) |
(/ x y) |
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y))) |
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y))) |
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))) |
y |
(+ x y) |
(/ (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y))))))) x) |
(/ (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (* x (+ (* -1 (/ (+ (log x) (log (/ 1 y))) y)) (+ (* 1/6 (pow (+ (log x) (log (/ 1 y))) 3)) (* 1/2 (/ 1 (pow y 2))))))) (/ 1 y))))))) x) |
(+ 1 (* x (+ (log x) (log (/ 1 y))))) |
(+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y))))))) |
(+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (* x (+ (* -1 (/ (+ (log x) (log (/ 1 y))) y)) (+ (* 1/6 (pow (+ (log x) (log (/ 1 y))) 3)) (* 1/2 (/ 1 (pow y 2))))))) (/ 1 y))))))) |
(* -1/3 (/ (pow y 3) (pow x 2))) |
(/ (+ (* -1/3 (pow y 3)) (* x (* (pow y 2) (+ 1/2 (* -1/2 y))))) (pow x 2)) |
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6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 26.0ms | x | @ | 0 | ((* (pow (/ x (+ y x)) (* x 1/2)) (/ (sqrt (pow (/ x (+ y x)) x)) x)) (pow (/ x (+ y x)) (* x 1/2)) (/ x (+ y x)) (+ y x) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (- 1 y) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (- (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) y) 1) y) 1) (- (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) y) 1) (/ (* 1/2 (+ (* y x) y)) x) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (+ (/ 1/2 (* x x)) (/ 1/2 x)) (* (sqrt (pow (/ x (+ y x)) x)) (/ (sqrt (pow (/ x (+ y x)) x)) x)) (+ (* (- (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ 1 x)) y) (/ 1 x)) (- (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ 1 x)) (pow (/ x (+ y x)) x) (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) y) (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ 1/2 (* x x))) |
| 13.0ms | x | @ | -inf | ((* (pow (/ x (+ y x)) (* x 1/2)) (/ (sqrt (pow (/ x (+ y x)) x)) x)) (pow (/ x (+ y x)) (* x 1/2)) (/ x (+ y x)) (+ y x) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (- 1 y) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (- (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) y) 1) y) 1) (- (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) y) 1) (/ (* 1/2 (+ (* y x) y)) x) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (+ (/ 1/2 (* x x)) (/ 1/2 x)) (* (sqrt (pow (/ x (+ y x)) x)) (/ (sqrt (pow (/ x (+ y x)) x)) x)) (+ (* (- (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ 1 x)) y) (/ 1 x)) (- (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ 1 x)) (pow (/ x (+ y x)) x) (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) y) (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ 1/2 (* x x))) |
| 9.0ms | y | @ | inf | ((* (pow (/ x (+ y x)) (* x 1/2)) (/ (sqrt (pow (/ x (+ y x)) x)) x)) (pow (/ x (+ y x)) (* x 1/2)) (/ x (+ y x)) (+ y x) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (- 1 y) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (- (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) y) 1) y) 1) (- (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) y) 1) (/ (* 1/2 (+ (* y x) y)) x) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (+ (/ 1/2 (* x x)) (/ 1/2 x)) (* (sqrt (pow (/ x (+ y x)) x)) (/ (sqrt (pow (/ x (+ y x)) x)) x)) (+ (* (- (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ 1 x)) y) (/ 1 x)) (- (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ 1 x)) (pow (/ x (+ y x)) x) (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) y) (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ 1/2 (* x x))) |
| 8.0ms | x | @ | inf | ((* (pow (/ x (+ y x)) (* x 1/2)) (/ (sqrt (pow (/ x (+ y x)) x)) x)) (pow (/ x (+ y x)) (* x 1/2)) (/ x (+ y x)) (+ y x) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (- 1 y) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (- (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) y) 1) y) 1) (- (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) y) 1) (/ (* 1/2 (+ (* y x) y)) x) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (+ (/ 1/2 (* x x)) (/ 1/2 x)) (* (sqrt (pow (/ x (+ y x)) x)) (/ (sqrt (pow (/ x (+ y x)) x)) x)) (+ (* (- (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ 1 x)) y) (/ 1 x)) (- (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ 1 x)) (pow (/ x (+ y x)) x) (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) y) (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ 1/2 (* x x))) |
| 8.0ms | y | @ | -inf | ((* (pow (/ x (+ y x)) (* x 1/2)) (/ (sqrt (pow (/ x (+ y x)) x)) x)) (pow (/ x (+ y x)) (* x 1/2)) (/ x (+ y x)) (+ y x) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (- 1 y) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (- (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) y) 1) y) 1) (- (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) y) 1) (/ (* 1/2 (+ (* y x) y)) x) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (+ (/ 1/2 (* x x)) (/ 1/2 x)) (* (sqrt (pow (/ x (+ y x)) x)) (/ (sqrt (pow (/ x (+ y x)) x)) x)) (+ (* (- (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ 1 x)) y) (/ 1 x)) (- (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ 1 x)) (pow (/ x (+ y x)) x) (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) y) (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ 1/2 (* x x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1084 | 7937 |
| 1 | 3965 | 6891 |
| 0 | 8330 | 6540 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 x) |
(/ (+ 1 (* x (+ (log x) (log (/ 1 y))))) x) |
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1 |
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y |
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x |
(* x (+ 1 (/ y x))) |
(/ (exp (* -1 y)) x) |
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(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (* (* x (* (exp (* 1/2 (* x (+ (log (* -1 x)) (log (/ -1 y)))))) (- (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* 1/4 (* (pow x 4) (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))))))) (sqrt (/ 1 (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))))) (+ (* 1/2 (* (* x (* (exp (* 1/2 (* x (+ (log (* -1 x)) (log (/ -1 y)))))) (+ (* 1/8 (pow x 4)) (* 1/4 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))))) (sqrt (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))))) (+ (* 1/2 (* (/ (* (exp (* 1/2 (* x (+ (log (* -1 x)) (log (/ -1 y)))))) (- (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3)))))) (+ (* 1/6 (pow x 6)) (* 1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))))) (* 1/2 (* (pow x 2) (- (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* 1/4 (* (pow x 4) (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))))))))) x) (sqrt (/ 1 (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))))) (* (/ (* (exp (* 1/2 (* x (+ (log (* -1 x)) (log (/ -1 y)))))) (+ (* 1/48 (pow x 6)) (+ (* 1/12 (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3)))))) (* 1/8 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))))) x) (sqrt (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))))))) y)) (+ (* 1/4 (* (* (pow x 3) (exp (* 1/2 (* x (+ (log (* -1 x)) (log (/ -1 y))))))) (sqrt (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))))) (+ (* 1/2 (* (/ (* (exp (* 1/2 (* x (+ (log (* -1 x)) (log (/ -1 y)))))) (- (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* 1/4 (* (pow x 4) (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))))) x) (sqrt (/ 1 (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))))) (* (/ (* (exp (* 1/2 (* x (+ (log (* -1 x)) (log (/ -1 y)))))) (+ (* 1/8 (pow x 4)) (* 1/4 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))))) x) (sqrt (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))))))) y)) (* (* x (exp (* 1/2 (* x (+ (log (* -1 x)) (log (/ -1 y))))))) (sqrt (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))))) y)) (* (/ (exp (* 1/2 (* x (+ (log (* -1 x)) (log (/ -1 y)))))) x) (sqrt (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))))) |
(exp (* 1/2 (* x (+ (log (* -1 x)) (log (/ -1 y)))))) |
(+ (exp (* 1/2 (* x (+ (log (* -1 x)) (log (/ -1 y)))))) (* -1/2 (/ (* (pow x 2) (exp (* 1/2 (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y))) |
(+ (exp (* 1/2 (* x (+ (log (* -1 x)) (log (/ -1 y)))))) (* -1 (/ (+ (* -1 (/ (* (exp (* 1/2 (* x (+ (log (* -1 x)) (log (/ -1 y)))))) (+ (* 1/8 (pow x 4)) (* 1/4 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))))) y)) (* 1/2 (* (pow x 2) (exp (* 1/2 (* x (+ (log (* -1 x)) (log (/ -1 y))))))))) y))) |
(+ (exp (* 1/2 (* x (+ (log (* -1 x)) (log (/ -1 y)))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* 1/2 (* x (+ (log (* -1 x)) (log (/ -1 y)))))) (+ (* 1/48 (pow x 6)) (+ (* 1/12 (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3)))))) (* 1/8 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))))) y)) (* (exp (* 1/2 (* x (+ (log (* -1 x)) (log (/ -1 y)))))) (+ (* 1/8 (pow x 4)) (* 1/4 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))))) y)) (* 1/2 (* (pow x 2) (exp (* 1/2 (* x (+ (log (* -1 x)) (log (/ -1 y))))))))) y))) |
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y)) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x) |
(+ (* -1 (/ (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x)) |
(+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x y))) (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3)))))) (+ (* 1/6 (pow x 6)) (* 1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))))) (* x y))) (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) x)) y)) (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x)) |
(exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) |
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))) y))) |
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) y)) (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y))) |
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3)))))) (+ (* 1/6 (pow x 6)) (* 1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))))) y)) (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4))))) y)) (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y))) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 (* (pow y 3) (+ 1/6 (+ (* -1 (/ (+ 1/2 (* 1/2 (/ 1 x))) y)) (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))) |
(* -1 (* (pow y 3) (+ 1/6 (+ (* -1 (/ (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1 y)) y)) (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))) |
(* -1 (* (pow y 3) (+ 1/6 (+ (* -1 (/ (+ 1/2 (+ (* -1 (/ (- 1 (/ 1 y)) y)) (* 1/2 (/ 1 x)))) y)) (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))) |
(* (pow y 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (* -1 (/ (+ (* -1 (+ 1/2 (* 1/2 (/ 1 x)))) (/ 1 y)) y)))) |
(* -1/2 (/ (* y (- (* -1 x) 1)) x)) |
(* (pow y 2) (+ 1/2 (+ (* -1 (/ (- 1 (/ 1 y)) y)) (* 1/2 (/ 1 x))))) |
(* (pow y 2) (+ (* -1 (/ (- (/ 1 x) (/ 1 (* x y))) y)) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))) |
(* -1 (* y (+ (* -1 (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 (* x y))))) |
(* -1 (* y (+ 1/6 (+ (* -1 (/ (+ 1/2 (* 1/2 (/ 1 x))) y)) (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))) |
| Outputs |
|---|
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (* x (+ (log x) (log (/ 1 y))))) x) |
(/.f64 (fma.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) x #s(literal 1 binary64)) x) |
(/ (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (+ (* 1/8 (pow (+ (log x) (log (/ 1 y))) 2)) (+ (* 1/4 (pow (+ (log x) (log (/ 1 y))) 2)) (* 1/2 (- (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (+ (* 1/4 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y)))))) (* 1/2 (/ 1 y)))))))) x) |
(/.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) #s(literal 2 binary64)) #s(literal 3/8 binary64) (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/2 binary64) y)) x (+.f64 (neg.f64 (log.f64 y)) (log.f64 x))) x #s(literal 1 binary64)) x) |
(/ (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (+ (* 1/8 (pow (+ (log x) (log (/ 1 y))) 2)) (+ (* 1/4 (pow (+ (log x) (log (/ 1 y))) 2)) (+ (* 1/2 (- (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (+ (* 1/4 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y)))) (* x (+ (* -1/4 (/ (+ (log x) (log (/ 1 y))) y)) (+ (* 1/48 (pow (+ (log x) (log (/ 1 y))) 3)) (+ (* 1/4 (* (+ (log x) (log (/ 1 y))) (- (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (+ (* 1/4 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y))))) (+ (* 1/4 (/ 1 (pow y 2))) (+ (* 1/2 (* (+ (log x) (log (/ 1 y))) (- (* 1/8 (pow (+ (log x) (log (/ 1 y))) 2)) (* 1/2 (/ 1 y))))) (* 1/2 (- (+ (* -1 (/ (+ (log x) (log (/ 1 y))) y)) (+ (* 1/6 (pow (+ (log x) (log (/ 1 y))) 3)) (* 1/2 (/ 1 (pow y 2))))) (* 1/2 (* (+ (log x) (log (/ 1 y))) (- (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (+ (* 1/4 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y)))))))))))))))) (* 1/2 (/ 1 y)))))))) x) |
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1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (* x (+ (log x) (log (/ 1 y)))))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) #s(literal 1 binary64)) |
(+ 1 (* x (+ (* 1/2 (+ (log x) (log (/ 1 y)))) (* x (- (* 1/8 (pow (+ (log x) (log (/ 1 y))) 2)) (* 1/2 (/ 1 y))))))) |
(fma.f64 (fma.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) #s(literal 2 binary64)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1/2 binary64) y)) x (*.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) #s(literal 1/2 binary64))) x #s(literal 1 binary64)) |
(+ 1 (* x (+ (* 1/2 (+ (log x) (log (/ 1 y)))) (* x (- (+ (* 1/8 (pow (+ (log x) (log (/ 1 y))) 2)) (* x (+ (* -1/4 (/ (+ (log x) (log (/ 1 y))) y)) (+ (* 1/48 (pow (+ (log x) (log (/ 1 y))) 3)) (* 1/4 (/ 1 (pow y 2))))))) (* 1/2 (/ 1 y))))))) |
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(/ x y) |
(/.f64 x y) |
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y))) |
(*.f64 (fma.f64 (/.f64 x (*.f64 y y)) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) x) |
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y))) |
(*.f64 (fma.f64 (-.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y y))) x (/.f64 #s(literal 1 binary64) y)) x) |
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))) |
(*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) x) (/.f64 #s(literal 1 binary64) (*.f64 y y))) x (/.f64 #s(literal 1 binary64) y)) x) |
y |
(+ x y) |
(+.f64 y x) |
(/ (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y))))))) x) |
(/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) y)) x (+.f64 (neg.f64 (log.f64 y)) (log.f64 x))) x #s(literal 1 binary64)) x) |
(/ (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (* x (+ (* -1 (/ (+ (log x) (log (/ 1 y))) y)) (+ (* 1/6 (pow (+ (log x) (log (/ 1 y))) 3)) (* 1/2 (/ 1 (pow y 2))))))) (/ 1 y))))))) x) |
(/.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) #s(literal 3 binary64)) #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) (neg.f64 y)))) x (*.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) y)) x (+.f64 (neg.f64 (log.f64 y)) (log.f64 x))) x #s(literal 1 binary64)) x) |
(+ 1 (* x (+ (log x) (log (/ 1 y))))) |
(fma.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) x #s(literal 1 binary64)) |
(+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y))))))) |
(fma.f64 (fma.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) y)) x (+.f64 (neg.f64 (log.f64 y)) (log.f64 x))) x #s(literal 1 binary64)) |
(+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (* x (+ (* -1 (/ (+ (log x) (log (/ 1 y))) y)) (+ (* 1/6 (pow (+ (log x) (log (/ 1 y))) 3)) (* 1/2 (/ 1 (pow y 2))))))) (/ 1 y))))))) |
(fma.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) #s(literal 3 binary64)) #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) (neg.f64 y)))) x (*.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) y)) x (+.f64 (neg.f64 (log.f64 y)) (log.f64 x))) x #s(literal 1 binary64)) |
(* -1/3 (/ (pow y 3) (pow x 2))) |
(*.f64 (/.f64 #s(literal -1/3 binary64) x) (/.f64 (pow.f64 y #s(literal 3 binary64)) x)) |
(/ (+ (* -1/3 (pow y 3)) (* x (* (pow y 2) (+ 1/2 (* -1/2 y))))) (pow x 2)) |
(/.f64 (fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/3 binary64))) (*.f64 x x)) |
(/ (+ (* -1/3 (pow y 3)) (* x (+ (* x (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1)))) (* (pow y 2) (+ 1/2 (* -1/2 y)))))) (pow x 2)) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) (*.f64 y y))) x (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/3 binary64))) (*.f64 x x)) |
(* -1/3 (/ (pow y 2) (pow x 2))) |
(*.f64 (/.f64 #s(literal -1/3 binary64) x) (/.f64 (*.f64 y y) x)) |
(/ (+ (* -1/3 (pow y 2)) (* x (* y (+ 1/2 (* -1/2 y))))) (pow x 2)) |
(/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x (*.f64 (*.f64 y y) #s(literal -1/3 binary64))) (*.f64 x x)) |
(/ (+ (* -1/3 (pow y 2)) (* x (+ (* x (- (* y (+ 1/2 (* -1/6 y))) 1)) (* y (+ 1/2 (* -1/2 y)))))) (pow x 2)) |
(/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x (*.f64 (*.f64 y y) #s(literal -1/3 binary64))) (*.f64 x x)) |
(* 1/2 (/ y x)) |
(*.f64 (/.f64 y x) #s(literal 1/2 binary64)) |
(/ (+ (* 1/2 y) (* 1/2 (* x y))) x) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y x y)) x) |
(* 1/2 (/ (pow y 2) x)) |
(*.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) |
(/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) x) |
(/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x) |
(/ 1/2 (pow x 2)) |
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(+ (exp (* 1/2 (* x (+ (log (* -1 x)) (log (/ -1 y)))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* 1/2 (* x (+ (log (* -1 x)) (log (/ -1 y)))))) (+ (* 1/48 (pow x 6)) (+ (* 1/12 (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3)))))) (* 1/8 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))))) y)) (* (exp (* 1/2 (* x (+ (log (* -1 x)) (log (/ -1 y)))))) (+ (* 1/8 (pow x 4)) (* 1/4 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))))) y)) (* 1/2 (* (pow x 2) (exp (* 1/2 (* x (+ (log (* -1 x)) (log (/ -1 y))))))))) y))) |
(-.f64 (pow.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) x)) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) (/.f64 (fma.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) x)) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) (*.f64 x x)) #s(literal 1/2 binary64) (/.f64 (fma.f64 (pow.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) x)) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/4 binary64))) (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 x x) (fma.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)) x) #s(literal 1/12 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/48 binary64)))) (pow.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) x)) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x))))) (neg.f64 y))) (neg.f64 y))) y)) |
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y)) |
(/.f64 (fma.f64 #s(literal -1 binary64) x (/.f64 (*.f64 x x) y)) (neg.f64 y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y)) |
(/.f64 (-.f64 (neg.f64 x) (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (*.f64 x x)) y)) (neg.f64 y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y)) |
(/.f64 (-.f64 (neg.f64 x) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) (neg.f64 y)) (*.f64 x x)) y)) (neg.f64 y)) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(*.f64 (neg.f64 y) (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64))) |
(/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x) |
(/.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) x) |
(+ (* -1 (/ (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x)) |
(fma.f64 (neg.f64 x) (/.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) y) (/.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) x)) |
(+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x y))) (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x)) |
(fma.f64 (/.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) (neg.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))) y))) (*.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) x)) y) #s(literal -1 binary64) (/.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) x)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3)))))) (+ (* 1/6 (pow x 6)) (* 1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))))) (* x y))) (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) x)) y)) (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x)) |
(fma.f64 (/.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) x (/.f64 (fma.f64 (/.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) x) (neg.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)) x (pow.f64 x #s(literal 6 binary64))) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)) (*.f64 x x))) y)) (*.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64)))) x))) (neg.f64 y))) y) #s(literal -1 binary64) (/.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) x)) |
(exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) |
(pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) |
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))) y))) |
(fma.f64 (*.f64 (neg.f64 x) x) (/.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) y) (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x))))) |
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) y)) (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y))) |
(-.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) (/.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) (*.f64 x x) (/.f64 (*.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 y))) y)) |
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3)))))) (+ (* 1/6 (pow x 6)) (* 1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))))) y)) (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4))))) y)) (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y))) |
(-.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) (/.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) (*.f64 x x) (/.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) (neg.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)) x (pow.f64 x #s(literal 6 binary64))) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)) (*.f64 x x))) y)) (*.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64)))))) (neg.f64 y))) y)) |
(* -1 (* y (- 1 (/ 1 y)))) |
(*.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))) |
(* -1 (* (pow y 3) (+ 1/6 (+ (* -1 (/ (+ 1/2 (* 1/2 (/ 1 x))) y)) (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))) |
(*.f64 (neg.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y) #s(literal -1 binary64) (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))) (pow.f64 y #s(literal 3 binary64))) |
(* -1 (* (pow y 3) (+ 1/6 (+ (* -1 (/ (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1 y)) y)) (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))) |
(*.f64 (neg.f64 (pow.f64 y #s(literal 3 binary64))) (+.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) y)) (neg.f64 y)) (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))) |
(* -1 (* (pow y 3) (+ 1/6 (+ (* -1 (/ (+ 1/2 (+ (* -1 (/ (- 1 (/ 1 y)) y)) (* 1/2 (/ 1 x)))) y)) (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))) |
(*.f64 (neg.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y) #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y) #s(literal -1 binary64) (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))) (pow.f64 y #s(literal 3 binary64))) |
(* (pow y 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (* -1 (/ (+ (* -1 (+ 1/2 (* 1/2 (/ 1 x)))) (/ 1 y)) y)))) |
(*.f64 (-.f64 (neg.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))) (/.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) y)) (*.f64 y y)) |
(* -1/2 (/ (* y (- (* -1 x) 1)) x)) |
(*.f64 (*.f64 y (/.f64 (-.f64 (neg.f64 x) #s(literal 1 binary64)) x)) #s(literal -1/2 binary64)) |
(* (pow y 2) (+ 1/2 (+ (* -1 (/ (- 1 (/ 1 y)) y)) (* 1/2 (/ 1 x))))) |
(*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y) #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) (*.f64 y y)) |
(* (pow y 2) (+ (* -1 (/ (- (/ 1 x) (/ 1 (* x y))) y)) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))) |
(*.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) (neg.f64 y)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x))) (*.f64 y y)) |
(* -1 (* y (+ (* -1 (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 (* x y))))) |
(*.f64 (neg.f64 y) (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) y))) |
(* -1 (* y (+ 1/6 (+ (* -1 (/ (+ 1/2 (* 1/2 (/ 1 x))) y)) (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))) |
(*.f64 (neg.f64 y) (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y) #s(literal -1 binary64) (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 65 | 467 |
| 0 | 100 | 433 |
| 1 | 382 | 405 |
| 2 | 2810 | 405 |
| 0 | 10177 | 405 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (pow.f64 (/.f64 x (+.f64 y x)) (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)) x)) |
(pow.f64 (/.f64 x (+.f64 y x)) (*.f64 x #s(literal 1/2 binary64))) |
(/.f64 x (+.f64 y x)) |
(+.f64 y x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) |
(-.f64 #s(literal 1 binary64) y) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) |
(fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y x y)) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y x y)) x)) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y x y)) x)) #s(literal 1 binary64)) y #s(literal 1 binary64))) |
(fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y x y)) x)) #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) |
#s(approx (* (sqrt (pow (/ x (+ y x)) x)) (/ (sqrt (pow (/ x (+ y x)) x)) x)) (fma.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) y) (/.f64 #s(literal 1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))) |
(fma.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) y) (/.f64 #s(literal 1 binary64) x)) y (/.f64 #s(literal 1 binary64) x)) |
(-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) y) (/.f64 #s(literal 1 binary64) x)) |
(pow.f64 (/.f64 x (+.f64 y x)) x) |
#s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) |
(*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y) |
(*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) y) |
(/.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
| Outputs |
|---|
(*.f64 (*.f64 (/.f64 (sqrt.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)) x) (pow.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) #s(literal 1/4 binary64))) (pow.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) #s(literal 1/4 binary64)) (/.f64 (sqrt.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)) x))) |
(*.f64 (/.f64 (sqrt.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)) x) (sqrt.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))) |
(*.f64 (sqrt.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)) (/.f64 (sqrt.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)) x)) |
(/.f64 (fma.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))) x (*.f64 x (sinh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))))) (*.f64 x x)) |
(/.f64 (*.f64 (neg.f64 (sqrt.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))) (sqrt.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))) (neg.f64 x)) |
(/.f64 (*.f64 (sqrt.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)) (neg.f64 (sqrt.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)))) (neg.f64 x)) |
(/.f64 (neg.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)) (neg.f64 x)) |
(/.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) x) |
(+.f64 (/.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))) x) (/.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))) x)) |
(*.f64 (neg.f64 (neg.f64 (pow.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) #s(literal 1/4 binary64)))) (neg.f64 (neg.f64 (pow.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) #s(literal 1/4 binary64))))) |
(*.f64 (sqrt.f64 (pow.f64 (pow.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) #s(literal 1/4 binary64)) #s(literal 3 binary64))) (sqrt.f64 (pow.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) #s(literal 1/4 binary64)))) |
(*.f64 (sqrt.f64 (pow.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) #s(literal 1/4 binary64))) (sqrt.f64 (pow.f64 (pow.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) #s(literal 1/4 binary64)) #s(literal 3 binary64)))) |
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)))) (sqrt.f64 (neg.f64 (sqrt.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))))) |
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(/.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(neg.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) |
(sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64)))) |
(fabs.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) |
(fabs.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(fabs.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) |
Compiled 32 166 to 3 596 computations (88.8% saved)
17 alts after pruning (12 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 676 | 7 | 683 |
| Fresh | 1 | 5 | 6 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 2 | 2 |
| Total | 679 | 17 | 696 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 78.4% | (/.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) x) |
| ✓ | 77.7% | (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) |
| ✓ | 60.7% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) |
| 31.0% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) x (*.f64 #s(literal -1/3 binary64) y)) (*.f64 x x))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) | |
| ▶ | 37.2% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (/.f64 (fma.f64 (*.f64 (*.f64 y x) #s(literal 1/2 binary64)) x (*.f64 (*.f64 y x) #s(literal 1/2 binary64))) (*.f64 x x))) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) |
| ✓ | 57.0% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y x y)) x)) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) |
| 59.4% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (*.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) | |
| 29.3% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (- (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) y) 1) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x (*.f64 (*.f64 y y) #s(literal -1/3 binary64))) (*.f64 x x))) y #s(literal 1 binary64))) x) | |
| ✓ | 55.7% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) x) |
| ▶ | 4.1% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (- 1 y) (neg.f64 y))) x) |
| 55.7% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x))) x) | |
| 4.7% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (*.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64)))) x) | |
| ✓ | 77.1% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) |
| 42.3% | (*.f64 (pow.f64 (/.f64 x (+.f64 y x)) (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 (pow.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) x)) x)) | |
| 78.4% | (*.f64 (*.f64 (sqrt.f64 (pow.f64 (pow.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) #s(literal 1/4 binary64)) #s(literal 3 binary64))) (sqrt.f64 (pow.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) #s(literal 1/4 binary64)))) (/.f64 (sqrt.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)) x)) | |
| ▶ | 55.7% | #s(approx (* (sqrt (pow (/ x (+ y x)) x)) (/ (sqrt (pow (/ x (+ y x)) x)) x)) (fma.f64 #s(approx (- (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ 1 x)) (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))) |
| ▶ | 30.3% | #s(approx (* (sqrt (pow (/ x (+ y x)) x)) (/ (sqrt (pow (/ x (+ y x)) x)) x)) #s(approx (+ (* (- (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ 1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) (*.f64 x x)))) |
Compiled 1 041 to 639 computations (38.6% saved)
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (/.f64 (fma.f64 (*.f64 (*.f64 y x) #s(literal 1/2 binary64)) x (*.f64 (*.f64 y x) #s(literal 1/2 binary64))) (*.f64 x x))) #s(literal 1 binary64)) y #s(literal 1 binary64))) | |
| cost-diff | 0 | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (/.f64 (fma.f64 (*.f64 (*.f64 y x) #s(literal 1/2 binary64)) x (*.f64 (*.f64 y x) #s(literal 1/2 binary64))) (*.f64 x x))) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) | |
| cost-diff | 4 | (fma.f64 (*.f64 (*.f64 y x) #s(literal 1/2 binary64)) x (*.f64 (*.f64 y x) #s(literal 1/2 binary64))) | |
| cost-diff | 5 | (/.f64 (fma.f64 (*.f64 (*.f64 y x) #s(literal 1/2 binary64)) x (*.f64 (*.f64 y x) #s(literal 1/2 binary64))) (*.f64 x x)) | |
| cost-diff | 0 | (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) (*.f64 x x)) | |
| cost-diff | 0 | #s(approx (+ (* (- (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ 1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) (*.f64 x x))) | |
| cost-diff | 0 | #s(approx (* (sqrt (pow (/ x (+ y x)) x)) (/ (sqrt (pow (/ x (+ y x)) x)) x)) #s(approx (+ (* (- (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ 1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) (*.f64 x x)))) | |
| cost-diff | 2 | (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) x) | |
| cost-diff | 0 | #s(approx (- (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ 1 x)) (/.f64 #s(literal -1 binary64) x)) | |
| cost-diff | 0 | (fma.f64 #s(approx (- (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ 1 x)) (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x)) | |
| cost-diff | 0 | #s(approx (* (sqrt (pow (/ x (+ y x)) x)) (/ (sqrt (pow (/ x (+ y x)) x)) x)) (fma.f64 #s(approx (- (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ 1 x)) (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | #s(approx (- 1 y) (neg.f64 y)) | |
| cost-diff | 0 | #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (- 1 y) (neg.f64 y))) | |
| cost-diff | 0 | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (- 1 y) (neg.f64 y))) x) | |
| cost-diff | 0 | (+.f64 y x) | |
| cost-diff | 0 | (/.f64 x (+.f64 y x)) | |
| cost-diff | 0 | (pow.f64 (/.f64 x (+.f64 y x)) x) | |
| cost-diff | 0 | (/.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 60 | 536 |
| 0 | 89 | 536 |
| 1 | 151 | 477 |
| 2 | 440 | 441 |
| 3 | 2057 | 438 |
| 4 | 7609 | 438 |
| 0 | 8363 | 430 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) x) |
(pow.f64 (/.f64 x (+.f64 y x)) x) |
(/.f64 x (+.f64 y x)) |
x |
(+.f64 y x) |
y |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (- 1 y) (neg.f64 y))) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (- 1 y) (neg.f64 y))) |
#s(approx (- 1 y) (neg.f64 y)) |
(neg.f64 y) |
y |
x |
#s(approx (* (sqrt (pow (/ x (+ y x)) x)) (/ (sqrt (pow (/ x (+ y x)) x)) x)) (fma.f64 #s(approx (- (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ 1 x)) (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))) |
(fma.f64 #s(approx (- (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ 1 x)) (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x)) |
#s(approx (- (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ 1 x)) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
x |
y |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
#s(approx (* (sqrt (pow (/ x (+ y x)) x)) (/ (sqrt (pow (/ x (+ y x)) x)) x)) #s(approx (+ (* (- (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ 1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) (*.f64 x x)))) |
#s(approx (+ (* (- (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ 1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) (*.f64 x x))) |
(/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) (*.f64 x x)) |
(fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
y |
#s(literal 1 binary64) |
x |
(*.f64 (*.f64 y y) #s(literal 1/2 binary64)) |
(*.f64 y y) |
(*.f64 x x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (/.f64 (fma.f64 (*.f64 (*.f64 y x) #s(literal 1/2 binary64)) x (*.f64 (*.f64 y x) #s(literal 1/2 binary64))) (*.f64 x x))) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (/.f64 (fma.f64 (*.f64 (*.f64 y x) #s(literal 1/2 binary64)) x (*.f64 (*.f64 y x) #s(literal 1/2 binary64))) (*.f64 x x))) #s(literal 1 binary64)) y #s(literal 1 binary64))) |
(fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (/.f64 (fma.f64 (*.f64 (*.f64 y x) #s(literal 1/2 binary64)) x (*.f64 (*.f64 y x) #s(literal 1/2 binary64))) (*.f64 x x))) #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (/.f64 (fma.f64 (*.f64 (*.f64 y x) #s(literal 1/2 binary64)) x (*.f64 (*.f64 y x) #s(literal 1/2 binary64))) (*.f64 x x))) #s(literal 1 binary64)) |
#s(approx (* (+ (/ 1/2 x) 1/2) y) (/.f64 (fma.f64 (*.f64 (*.f64 y x) #s(literal 1/2 binary64)) x (*.f64 (*.f64 y x) #s(literal 1/2 binary64))) (*.f64 x x))) |
(/.f64 (fma.f64 (*.f64 (*.f64 y x) #s(literal 1/2 binary64)) x (*.f64 (*.f64 y x) #s(literal 1/2 binary64))) (*.f64 x x)) |
(fma.f64 (*.f64 (*.f64 y x) #s(literal 1/2 binary64)) x (*.f64 (*.f64 y x) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 y x) #s(literal 1/2 binary64)) |
(*.f64 y x) |
y |
x |
#s(literal 1/2 binary64) |
(*.f64 x x) |
#s(literal 1 binary64) |
| Outputs |
|---|
(/.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) x) |
(pow.f64 (/.f64 x (+.f64 y x)) x) |
(/.f64 x (+.f64 y x)) |
x |
(+.f64 y x) |
y |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (- 1 y) (neg.f64 y))) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (- 1 y) (neg.f64 y))) |
#s(approx (- 1 y) (neg.f64 y)) |
(neg.f64 y) |
y |
x |
#s(approx (* (sqrt (pow (/ x (+ y x)) x)) (/ (sqrt (pow (/ x (+ y x)) x)) x)) (fma.f64 #s(approx (- (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ 1 x)) (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))) |
(fma.f64 #s(approx (- (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ 1 x)) (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x)) |
#s(approx (- (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ 1 x)) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
x |
y |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
#s(approx (* (sqrt (pow (/ x (+ y x)) x)) (/ (sqrt (pow (/ x (+ y x)) x)) x)) #s(approx (+ (* (- (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ 1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) (*.f64 x x)))) |
#s(approx (* (sqrt (pow (/ x (+ y x)) x)) (/ (sqrt (pow (/ x (+ y x)) x)) x)) #s(approx (+ (* (- (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ 1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (*.f64 (/.f64 y x) #s(literal 1/2 binary64)) y (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) x))) |
#s(approx (+ (* (- (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ 1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) (*.f64 x x))) |
#s(approx (+ (* (- (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ 1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (*.f64 (/.f64 y x) #s(literal 1/2 binary64)) y (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) x)) |
(/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) (*.f64 x x)) |
(/.f64 (fma.f64 (*.f64 (/.f64 y x) #s(literal 1/2 binary64)) y (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) |
(fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) |
(fma.f64 y (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) x (*.f64 #s(literal 1/2 binary64) y)) x) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
y |
#s(literal 1 binary64) |
x |
(*.f64 (*.f64 y y) #s(literal 1/2 binary64)) |
(*.f64 y y) |
(*.f64 x x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (/.f64 (fma.f64 (*.f64 (*.f64 y x) #s(literal 1/2 binary64)) x (*.f64 (*.f64 y x) #s(literal 1/2 binary64))) (*.f64 x x))) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (*.f64 (+.f64 (/.f64 y x) y) #s(literal 1/2 binary64))) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (/.f64 (fma.f64 (*.f64 (*.f64 y x) #s(literal 1/2 binary64)) x (*.f64 (*.f64 y x) #s(literal 1/2 binary64))) (*.f64 x x))) #s(literal 1 binary64)) y #s(literal 1 binary64))) |
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (*.f64 (+.f64 (/.f64 y x) y) #s(literal 1/2 binary64))) #s(literal 1 binary64)) y #s(literal 1 binary64))) |
(fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (/.f64 (fma.f64 (*.f64 (*.f64 y x) #s(literal 1/2 binary64)) x (*.f64 (*.f64 y x) #s(literal 1/2 binary64))) (*.f64 x x))) #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (*.f64 (+.f64 (/.f64 y x) y) #s(literal 1/2 binary64))) #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (/.f64 (fma.f64 (*.f64 (*.f64 y x) #s(literal 1/2 binary64)) x (*.f64 (*.f64 y x) #s(literal 1/2 binary64))) (*.f64 x x))) #s(literal 1 binary64)) |
(-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (*.f64 (+.f64 (/.f64 y x) y) #s(literal 1/2 binary64))) #s(literal 1 binary64)) |
#s(approx (* (+ (/ 1/2 x) 1/2) y) (/.f64 (fma.f64 (*.f64 (*.f64 y x) #s(literal 1/2 binary64)) x (*.f64 (*.f64 y x) #s(literal 1/2 binary64))) (*.f64 x x))) |
#s(approx (* (+ (/ 1/2 x) 1/2) y) (*.f64 (+.f64 (/.f64 y x) y) #s(literal 1/2 binary64))) |
(/.f64 (fma.f64 (*.f64 (*.f64 y x) #s(literal 1/2 binary64)) x (*.f64 (*.f64 y x) #s(literal 1/2 binary64))) (*.f64 x x)) |
(*.f64 (+.f64 (/.f64 y x) y) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 (*.f64 y x) #s(literal 1/2 binary64)) x (*.f64 (*.f64 y x) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 x (fma.f64 y x y)) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 y x) #s(literal 1/2 binary64)) |
(*.f64 y x) |
y |
x |
#s(literal 1/2 binary64) |
(*.f64 x x) |
#s(literal 1 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.015625 | (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (/.f64 (fma.f64 (*.f64 (*.f64 y x) #s(literal 1/2 binary64)) x (*.f64 (*.f64 y x) #s(literal 1/2 binary64))) (*.f64 x x))) #s(literal 1 binary64)) y #s(literal 1 binary64)) | |
| accuracy | 3.628883544132264 | (fma.f64 (*.f64 (*.f64 y x) #s(literal 1/2 binary64)) x (*.f64 (*.f64 y x) #s(literal 1/2 binary64))) | |
| accuracy | 28.507218829168835 | #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (/.f64 (fma.f64 (*.f64 (*.f64 y x) #s(literal 1/2 binary64)) x (*.f64 (*.f64 y x) #s(literal 1/2 binary64))) (*.f64 x x))) #s(literal 1 binary64)) y #s(literal 1 binary64))) | |
| accuracy | 32.21382045893358 | (/.f64 (fma.f64 (*.f64 (*.f64 y x) #s(literal 1/2 binary64)) x (*.f64 (*.f64 y x) #s(literal 1/2 binary64))) (*.f64 x x)) | |
| accuracy | 0.01171875 | (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) | |
| accuracy | 5.320291858302059 | (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) | |
| accuracy | 23.581743373133655 | (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) (*.f64 x x)) | |
| accuracy | 30.122199521391426 | #s(approx (* (sqrt (pow (/ x (+ y x)) x)) (/ (sqrt (pow (/ x (+ y x)) x)) x)) #s(approx (+ (* (- (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ 1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) (*.f64 x x)))) | |
| accuracy | 0.0 | (/.f64 #s(literal -1 binary64) x) | |
| accuracy | 0.5133824570206418 | (fma.f64 #s(approx (- (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ 1 x)) (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x)) | |
| accuracy | 30.122199521391426 | #s(approx (* (sqrt (pow (/ x (+ y x)) x)) (/ (sqrt (pow (/ x (+ y x)) x)) x)) (fma.f64 #s(approx (- (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ 1 x)) (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))) | |
| accuracy | 33.1703895918698 | #s(approx (- (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ 1 x)) (/.f64 #s(literal -1 binary64) x)) | |
| accuracy | 0.0 | (neg.f64 y) | |
| accuracy | 0.01171875 | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (- 1 y) (neg.f64 y))) x) | |
| accuracy | 28.379580859215718 | #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (- 1 y) (neg.f64 y))) | |
| accuracy | 34.406321541186486 | #s(approx (- 1 y) (neg.f64 y)) | |
| accuracy | 0.0 | (+.f64 y x) | |
| accuracy | 0.01171875 | (/.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) x) | |
| accuracy | 0.0234375 | (/.f64 x (+.f64 y x)) | |
| accuracy | 13.976970031126406 | (pow.f64 (/.f64 x (+.f64 y x)) x) |
| 178.0ms | 108× | 1 | valid |
| 106.0ms | 148× | 0 | valid |
Compiled 324 to 51 computations (84.3% saved)
ival-pow: 58.0ms (22.8% of total)ival-mult: 48.0ms (18.8% of total)ival-div: 40.0ms (15.7% of total)ival-sub: 36.0ms (14.1% of total)adjust: 32.0ms (12.6% of total)ival-add: 19.0ms (7.5% of total)ival-log: 15.0ms (5.9% of total)ival-exp: 3.0ms (1.2% of total)ival-sqrt: 3.0ms (1.2% of total)ival-neg: 1.0ms (0.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) x) |
(pow.f64 (/.f64 x (+.f64 y x)) x) |
(/.f64 x (+.f64 y x)) |
(+.f64 y x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (- 1 y) (neg.f64 y))) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (- 1 y) (neg.f64 y))) |
#s(approx (- 1 y) (neg.f64 y)) |
(neg.f64 y) |
#s(approx (* (sqrt (pow (/ x (+ y x)) x)) (/ (sqrt (pow (/ x (+ y x)) x)) x)) (fma.f64 #s(approx (- (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ 1 x)) (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))) |
(fma.f64 #s(approx (- (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ 1 x)) (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x)) |
#s(approx (- (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ 1 x)) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 #s(literal -1 binary64) x) |
(fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) |
#s(approx (* (sqrt (pow (/ x (+ y x)) x)) (/ (sqrt (pow (/ x (+ y x)) x)) x)) #s(approx (+ (* (- (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ 1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) (*.f64 x x)))) |
#s(approx (+ (* (- (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ 1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) (*.f64 x x))) |
(/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) (*.f64 x x)) |
(/.f64 (fma.f64 (*.f64 (*.f64 y x) #s(literal 1/2 binary64)) x (*.f64 (*.f64 y x) #s(literal 1/2 binary64))) (*.f64 x x)) |
(fma.f64 (*.f64 (*.f64 y x) #s(literal 1/2 binary64)) x (*.f64 (*.f64 y x) #s(literal 1/2 binary64))) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (/.f64 (fma.f64 (*.f64 (*.f64 y x) #s(literal 1/2 binary64)) x (*.f64 (*.f64 y x) #s(literal 1/2 binary64))) (*.f64 x x))) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (/.f64 (fma.f64 (*.f64 (*.f64 y x) #s(literal 1/2 binary64)) x (*.f64 (*.f64 y x) #s(literal 1/2 binary64))) (*.f64 x x))) #s(literal 1 binary64)) y #s(literal 1 binary64))) |
(*.f64 (*.f64 y y) #s(literal 1/2 binary64)) |
(fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (/.f64 (fma.f64 (*.f64 (*.f64 y x) #s(literal 1/2 binary64)) x (*.f64 (*.f64 y x) #s(literal 1/2 binary64))) (*.f64 x x))) #s(literal 1 binary64)) y #s(literal 1 binary64)) |
| Outputs |
|---|
(/ 1 x) |
(/ (+ 1 (* x (+ (log x) (log (/ 1 y))))) x) |
(/ (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y))))))) x) |
(/ (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (* x (+ (* -1 (/ (+ (log x) (log (/ 1 y))) y)) (+ (* 1/6 (pow (+ (log x) (log (/ 1 y))) 3)) (* 1/2 (/ 1 (pow y 2))))))) (/ 1 y))))))) x) |
1 |
(+ 1 (* x (+ (log x) (log (/ 1 y))))) |
(+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y))))))) |
(+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (* x (+ (* -1 (/ (+ (log x) (log (/ 1 y))) y)) (+ (* 1/6 (pow (+ (log x) (log (/ 1 y))) 3)) (* 1/2 (/ 1 (pow y 2))))))) (/ 1 y))))))) |
(/ x y) |
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y))) |
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y))) |
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))) |
y |
(+ x y) |
(* 1/2 (/ (pow y 2) (pow x 2))) |
(/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) (pow x 2)) |
(* 1/2 (/ y (pow x 2))) |
(/ (+ (* 1/2 y) (* x (- (* 1/2 y) 1))) (pow x 2)) |
(/ -1 x) |
(* 1/2 (pow y 2)) |
(+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) |
(* 1/2 (/ y x)) |
(/ (+ (* 1/2 y) (* 1/2 (* x y))) x) |
(* 1/2 (* x y)) |
(* x (+ (* 1/2 y) (* 1/2 (* x y)))) |
(* 1/2 (/ (pow y 2) x)) |
(/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) x) |
(/ (exp (* -1 y)) x) |
(/ (+ (exp (* -1 y)) (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) x) |
(/ (+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2)))) x) |
(/ (+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (+ (/ (* (exp (* -1 y)) (+ (* 1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (+ (* 1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) (pow x 3)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2))))) x) |
(exp (* -1 y)) |
(+ (exp (* -1 y)) (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) |
(+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2)))) |
(+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (+ (/ (* (exp (* -1 y)) (+ (* 1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (+ (* 1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) (pow x 3)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2))))) |
(+ 1 (* -1 (/ y x))) |
(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x)) |
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))) |
x |
(* x (+ 1 (/ y x))) |
(/ (+ 1 (* y (- (* 1/2 y) 1))) x) |
(/ (+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1)))) x) |
(/ (- (* 1/2 y) 1) x) |
(/ (- (+ (* 1/2 y) (* 1/2 (/ y x))) 1) x) |
(* x (+ 1 (* y (- (* 1/2 y) 1)))) |
(* x (+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1))))) |
(* 1/2 y) |
(+ (* 1/2 y) (* 1/2 (/ y x))) |
(* 1/2 (* (pow x 2) y)) |
(* (pow x 2) (+ (* 1/2 y) (* 1/2 (/ y x)))) |
(+ 1 (* y (- (* 1/2 y) 1))) |
(+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1)))) |
(* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) x)) |
(* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1 (/ (+ (* 1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (/ (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)))) x)) x))) x)) |
(* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2))))) (/ (* (exp (* -1 y)) (+ (* -1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) x)) x)) (* 1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))) x))) x)) |
(+ (exp (* -1 y)) (* -1 (/ (+ (* -1 (/ (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)))) x)) (* -1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))) x))) |
(+ (exp (* -1 y)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* -1 y)) (+ (* -1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) x)) (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2))))) x)) (* -1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))) x))) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (/ (- (* y (+ 1 (* -1/2 y))) 1) x)) |
(* -1 (/ (- (+ (* -1/2 (/ (pow y 2) x)) (* y (+ 1 (* -1/2 y)))) 1) x)) |
(* -1 (/ (+ 1 (* -1/2 y)) x)) |
(* -1 (/ (+ 1 (+ (* -1/2 y) (* -1/2 (/ y x)))) x)) |
(* -1 (* x (+ (* -1 (+ 1 (* y (- (* 1/2 y) 1)))) (* -1/2 (/ (pow y 2) x))))) |
(* -1 (/ (+ (* -1 (+ 1 (* y (- (* 1/2 y) 1)))) (* -1/2 (/ (pow y 2) x))) x)) |
(+ (* -1 (/ y x)) (/ 1 x)) |
(+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x)) |
(+ (* y (- (* y (+ (* -1 (/ (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) x)) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))) (/ 1 x))) (/ 1 x)) |
(+ 1 (* -1 y)) |
(+ 1 (* y (- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1))) |
(+ 1 (* y (- (* y (+ 1/2 (+ (* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) (* 1/2 (/ 1 x))))) 1))) |
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x)))) |
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)))) |
(* -1 y) |
(- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x)) |
(+ x (* -1 (* x y))) |
(+ x (* y (+ (* -1 x) (* y (+ 1/2 (* 1/2 x)))))) |
(/ (* y (+ (* 1/2 x) (* 1/2 (pow x 2)))) (pow x 2)) |
(* y (+ (* 1/2 x) (* 1/2 (pow x 2)))) |
(/ (exp (* x (+ (log x) (log (/ 1 y))))) x) |
(+ (* -1 (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (/ (exp (* x (+ (log x) (log (/ 1 y))))) x)) |
(+ (* -1 (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (+ (/ (exp (* x (+ (log x) (log (/ 1 y))))) x) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x (pow y 2))))) |
(+ (* -1 (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (+ (/ (exp (* x (+ (log x) (log (/ 1 y))))) x) (+ (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (+ (* -1/6 (pow x 6)) (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* -2 (pow x 3)) (* 6 (pow x 3))))))))) (* x (pow y 3))) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x (pow y 2)))))) |
(exp (* x (+ (log x) (log (/ 1 y))))) |
(+ (exp (* x (+ (log x) (log (/ 1 y))))) (* -1 (/ (* (pow x 2) (exp (* x (+ (log x) (log (/ 1 y)))))) y))) |
(+ (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1 (/ (* (pow x 2) (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (pow y 2)))) |
(+ (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1 (/ (* (pow x 2) (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (+ (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (+ (* -1/6 (pow x 6)) (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* -2 (pow x 3)) (* 6 (pow x 3))))))))) (pow y 3)) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (pow y 2))))) |
(/ (+ x (* -1 (/ (pow x 2) y))) y) |
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y) |
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y) |
(* y (+ 1 (/ x y))) |
(* y (- (/ 1 y) 1)) |
(* (pow y 2) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) |
(* (pow y 2) (- (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))) (/ 1 (* x y)))) |
(* (pow y 2) (- (+ (* 1/2 (/ 1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (* x (pow y 2))))) (/ 1 (* x y)))) |
(* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) |
(* y (- (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))) (/ 1 (* x y)))) |
(* (pow y 2) (+ 1/2 (* 1/2 x))) |
(* (pow y 2) (+ 1/2 (+ (* -1 (/ x y)) (* 1/2 x)))) |
(* (pow y 2) (+ 1/2 (+ (* -1 (/ x y)) (+ (* 1/2 x) (/ x (pow y 2)))))) |
(/ (* (pow y 2) (+ 1/2 (* 1/2 x))) (pow x 2)) |
(* (pow y 2) (- (+ (/ 1/2 x) (* 1/2 (/ 1 (pow x 2)))) (/ 1 (* x y)))) |
(* (pow y 2) (- (+ (/ 1/2 x) (+ (/ 1 (* x (pow y 2))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 (* x y)))) |
(* (pow y 2) (+ 1/2 (* 1/2 (/ 1 x)))) |
(* (pow y 2) (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1 y))) |
(* (pow y 2) (- (+ 1/2 (+ (* 1/2 (/ 1 x)) (/ 1 (pow y 2)))) (/ 1 y))) |
(/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x) |
(+ (* -1 (/ (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x)) |
(+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x y))) (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3)))))) (+ (* 1/6 (pow x 6)) (* 1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))))) (* x y))) (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) x)) y)) (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x)) |
(exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) |
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))) y))) |
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) y)) (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y))) |
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3)))))) (+ (* 1/6 (pow x 6)) (* 1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))))) y)) (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4))))) y)) (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y))) |
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y)) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* (pow y 2) (+ (* -1 (/ (- (/ 1 x) (/ 1 (* x y))) y)) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))) |
(* -1 (* y (+ (* -1 (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 (* x y))))) |
(* (pow y 2) (+ 1/2 (+ (* -1 (/ (+ x (* -1 (/ x y))) y)) (* 1/2 x)))) |
(* (pow y 2) (+ (* -1 (/ (- (/ 1 x) (/ 1 (* x y))) y)) (+ (/ 1/2 x) (* 1/2 (/ 1 (pow x 2)))))) |
(* -1 (/ (* y (+ (* -1/2 x) (* -1/2 (pow x 2)))) (pow x 2))) |
(* -1 (* y (+ (* -1/2 x) (* -1/2 (pow x 2))))) |
(* (pow y 2) (+ 1/2 (+ (* -1 (/ (- 1 (/ 1 y)) y)) (* 1/2 (/ 1 x))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 21.0ms | y | @ | -inf | ((/ (pow (/ x (+ y x)) x) x) (pow (/ x (+ y x)) x) (/ x (+ y x)) (+ y x) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (- 1 y) (neg y) (* (sqrt (pow (/ x (+ y x)) x)) (/ (sqrt (pow (/ x (+ y x)) x)) x)) (+ (* (- (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ 1 x)) y) (/ 1 x)) (- (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ 1 x)) (/ -1 x) (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (* (sqrt (pow (/ x (+ y x)) x)) (/ (sqrt (pow (/ x (+ y x)) x)) x)) (+ (* (- (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ 1 x)) y) (/ 1 x)) (/ (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (* x x)) (/ (+ (* (* (* y x) 1/2) x) (* (* y x) 1/2)) (* x x)) (+ (* (* (* y x) 1/2) x) (* (* y x) 1/2)) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (* (* y y) 1/2) (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1)) |
| 8.0ms | x | @ | -inf | ((/ (pow (/ x (+ y x)) x) x) (pow (/ x (+ y x)) x) (/ x (+ y x)) (+ y x) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (- 1 y) (neg y) (* (sqrt (pow (/ x (+ y x)) x)) (/ (sqrt (pow (/ x (+ y x)) x)) x)) (+ (* (- (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ 1 x)) y) (/ 1 x)) (- (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ 1 x)) (/ -1 x) (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (* (sqrt (pow (/ x (+ y x)) x)) (/ (sqrt (pow (/ x (+ y x)) x)) x)) (+ (* (- (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ 1 x)) y) (/ 1 x)) (/ (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (* x x)) (/ (+ (* (* (* y x) 1/2) x) (* (* y x) 1/2)) (* x x)) (+ (* (* (* y x) 1/2) x) (* (* y x) 1/2)) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (* (* y y) 1/2) (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1)) |
| 7.0ms | y | @ | inf | ((/ (pow (/ x (+ y x)) x) x) (pow (/ x (+ y x)) x) (/ x (+ y x)) (+ y x) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (- 1 y) (neg y) (* (sqrt (pow (/ x (+ y x)) x)) (/ (sqrt (pow (/ x (+ y x)) x)) x)) (+ (* (- (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ 1 x)) y) (/ 1 x)) (- (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ 1 x)) (/ -1 x) (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (* (sqrt (pow (/ x (+ y x)) x)) (/ (sqrt (pow (/ x (+ y x)) x)) x)) (+ (* (- (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ 1 x)) y) (/ 1 x)) (/ (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (* x x)) (/ (+ (* (* (* y x) 1/2) x) (* (* y x) 1/2)) (* x x)) (+ (* (* (* y x) 1/2) x) (* (* y x) 1/2)) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (* (* y y) 1/2) (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1)) |
| 3.0ms | x | @ | 0 | ((/ (pow (/ x (+ y x)) x) x) (pow (/ x (+ y x)) x) (/ x (+ y x)) (+ y x) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (- 1 y) (neg y) (* (sqrt (pow (/ x (+ y x)) x)) (/ (sqrt (pow (/ x (+ y x)) x)) x)) (+ (* (- (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ 1 x)) y) (/ 1 x)) (- (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ 1 x)) (/ -1 x) (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (* (sqrt (pow (/ x (+ y x)) x)) (/ (sqrt (pow (/ x (+ y x)) x)) x)) (+ (* (- (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ 1 x)) y) (/ 1 x)) (/ (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (* x x)) (/ (+ (* (* (* y x) 1/2) x) (* (* y x) 1/2)) (* x x)) (+ (* (* (* y x) 1/2) x) (* (* y x) 1/2)) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (* (* y y) 1/2) (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1)) |
| 3.0ms | y | @ | 0 | ((/ (pow (/ x (+ y x)) x) x) (pow (/ x (+ y x)) x) (/ x (+ y x)) (+ y x) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (- 1 y) (neg y) (* (sqrt (pow (/ x (+ y x)) x)) (/ (sqrt (pow (/ x (+ y x)) x)) x)) (+ (* (- (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ 1 x)) y) (/ 1 x)) (- (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ 1 x)) (/ -1 x) (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (* (sqrt (pow (/ x (+ y x)) x)) (/ (sqrt (pow (/ x (+ y x)) x)) x)) (+ (* (- (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ 1 x)) y) (/ 1 x)) (/ (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (* x x)) (/ (+ (* (* (* y x) 1/2) x) (* (* y x) 1/2)) (* x x)) (+ (* (* (* y x) 1/2) x) (* (* y x) 1/2)) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (* (* y y) 1/2) (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 541 | 2929 |
| 1 | 1933 | 2622 |
| 0 | 8209 | 2496 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 x) |
(/ (+ 1 (* x (+ (log x) (log (/ 1 y))))) x) |
(/ (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y))))))) x) |
(/ (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (* x (+ (* -1 (/ (+ (log x) (log (/ 1 y))) y)) (+ (* 1/6 (pow (+ (log x) (log (/ 1 y))) 3)) (* 1/2 (/ 1 (pow y 2))))))) (/ 1 y))))))) x) |
1 |
(+ 1 (* x (+ (log x) (log (/ 1 y))))) |
(+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y))))))) |
(+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (* x (+ (* -1 (/ (+ (log x) (log (/ 1 y))) y)) (+ (* 1/6 (pow (+ (log x) (log (/ 1 y))) 3)) (* 1/2 (/ 1 (pow y 2))))))) (/ 1 y))))))) |
(/ x y) |
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y))) |
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y))) |
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))) |
y |
(+ x y) |
(* 1/2 (/ (pow y 2) (pow x 2))) |
(/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) (pow x 2)) |
(* 1/2 (/ y (pow x 2))) |
(/ (+ (* 1/2 y) (* x (- (* 1/2 y) 1))) (pow x 2)) |
(/ -1 x) |
(* 1/2 (pow y 2)) |
(+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) |
(* 1/2 (/ y x)) |
(/ (+ (* 1/2 y) (* 1/2 (* x y))) x) |
(* 1/2 (* x y)) |
(* x (+ (* 1/2 y) (* 1/2 (* x y)))) |
(* 1/2 (/ (pow y 2) x)) |
(/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) x) |
(/ (exp (* -1 y)) x) |
(/ (+ (exp (* -1 y)) (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) x) |
(/ (+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2)))) x) |
(/ (+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (+ (/ (* (exp (* -1 y)) (+ (* 1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (+ (* 1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) (pow x 3)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2))))) x) |
(exp (* -1 y)) |
(+ (exp (* -1 y)) (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) |
(+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2)))) |
(+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (+ (/ (* (exp (* -1 y)) (+ (* 1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (+ (* 1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) (pow x 3)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2))))) |
(+ 1 (* -1 (/ y x))) |
(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x)) |
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))) |
x |
(* x (+ 1 (/ y x))) |
(/ (+ 1 (* y (- (* 1/2 y) 1))) x) |
(/ (+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1)))) x) |
(/ (- (* 1/2 y) 1) x) |
(/ (- (+ (* 1/2 y) (* 1/2 (/ y x))) 1) x) |
(* x (+ 1 (* y (- (* 1/2 y) 1)))) |
(* x (+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1))))) |
(* 1/2 y) |
(+ (* 1/2 y) (* 1/2 (/ y x))) |
(* 1/2 (* (pow x 2) y)) |
(* (pow x 2) (+ (* 1/2 y) (* 1/2 (/ y x)))) |
(+ 1 (* y (- (* 1/2 y) 1))) |
(+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1)))) |
(* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) x)) |
(* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1 (/ (+ (* 1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (/ (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)))) x)) x))) x)) |
(* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2))))) (/ (* (exp (* -1 y)) (+ (* -1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) x)) x)) (* 1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))) x))) x)) |
(+ (exp (* -1 y)) (* -1 (/ (+ (* -1 (/ (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)))) x)) (* -1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))) x))) |
(+ (exp (* -1 y)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* -1 y)) (+ (* -1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) x)) (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2))))) x)) (* -1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))) x))) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (/ (- (* y (+ 1 (* -1/2 y))) 1) x)) |
(* -1 (/ (- (+ (* -1/2 (/ (pow y 2) x)) (* y (+ 1 (* -1/2 y)))) 1) x)) |
(* -1 (/ (+ 1 (* -1/2 y)) x)) |
(* -1 (/ (+ 1 (+ (* -1/2 y) (* -1/2 (/ y x)))) x)) |
(* -1 (* x (+ (* -1 (+ 1 (* y (- (* 1/2 y) 1)))) (* -1/2 (/ (pow y 2) x))))) |
(* -1 (/ (+ (* -1 (+ 1 (* y (- (* 1/2 y) 1)))) (* -1/2 (/ (pow y 2) x))) x)) |
(+ (* -1 (/ y x)) (/ 1 x)) |
(+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x)) |
(+ (* y (- (* y (+ (* -1 (/ (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) x)) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))) (/ 1 x))) (/ 1 x)) |
(+ 1 (* -1 y)) |
(+ 1 (* y (- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1))) |
(+ 1 (* y (- (* y (+ 1/2 (+ (* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) (* 1/2 (/ 1 x))))) 1))) |
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x)))) |
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)))) |
(* -1 y) |
(- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x)) |
(+ x (* -1 (* x y))) |
(+ x (* y (+ (* -1 x) (* y (+ 1/2 (* 1/2 x)))))) |
(/ (* y (+ (* 1/2 x) (* 1/2 (pow x 2)))) (pow x 2)) |
(* y (+ (* 1/2 x) (* 1/2 (pow x 2)))) |
(/ (exp (* x (+ (log x) (log (/ 1 y))))) x) |
(+ (* -1 (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (/ (exp (* x (+ (log x) (log (/ 1 y))))) x)) |
(+ (* -1 (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (+ (/ (exp (* x (+ (log x) (log (/ 1 y))))) x) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x (pow y 2))))) |
(+ (* -1 (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (+ (/ (exp (* x (+ (log x) (log (/ 1 y))))) x) (+ (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (+ (* -1/6 (pow x 6)) (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* -2 (pow x 3)) (* 6 (pow x 3))))))))) (* x (pow y 3))) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x (pow y 2)))))) |
(exp (* x (+ (log x) (log (/ 1 y))))) |
(+ (exp (* x (+ (log x) (log (/ 1 y))))) (* -1 (/ (* (pow x 2) (exp (* x (+ (log x) (log (/ 1 y)))))) y))) |
(+ (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1 (/ (* (pow x 2) (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (pow y 2)))) |
(+ (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1 (/ (* (pow x 2) (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (+ (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (+ (* -1/6 (pow x 6)) (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* -2 (pow x 3)) (* 6 (pow x 3))))))))) (pow y 3)) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (pow y 2))))) |
(/ (+ x (* -1 (/ (pow x 2) y))) y) |
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y) |
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y) |
(* y (+ 1 (/ x y))) |
(* y (- (/ 1 y) 1)) |
(* (pow y 2) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) |
(* (pow y 2) (- (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))) (/ 1 (* x y)))) |
(* (pow y 2) (- (+ (* 1/2 (/ 1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (* x (pow y 2))))) (/ 1 (* x y)))) |
(* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) |
(* y (- (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))) (/ 1 (* x y)))) |
(* (pow y 2) (+ 1/2 (* 1/2 x))) |
(* (pow y 2) (+ 1/2 (+ (* -1 (/ x y)) (* 1/2 x)))) |
(* (pow y 2) (+ 1/2 (+ (* -1 (/ x y)) (+ (* 1/2 x) (/ x (pow y 2)))))) |
(/ (* (pow y 2) (+ 1/2 (* 1/2 x))) (pow x 2)) |
(* (pow y 2) (- (+ (/ 1/2 x) (* 1/2 (/ 1 (pow x 2)))) (/ 1 (* x y)))) |
(* (pow y 2) (- (+ (/ 1/2 x) (+ (/ 1 (* x (pow y 2))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 (* x y)))) |
(* (pow y 2) (+ 1/2 (* 1/2 (/ 1 x)))) |
(* (pow y 2) (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1 y))) |
(* (pow y 2) (- (+ 1/2 (+ (* 1/2 (/ 1 x)) (/ 1 (pow y 2)))) (/ 1 y))) |
(/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x) |
(+ (* -1 (/ (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x)) |
(+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x y))) (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3)))))) (+ (* 1/6 (pow x 6)) (* 1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))))) (* x y))) (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) x)) y)) (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x)) |
(exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) |
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))) y))) |
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) y)) (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y))) |
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3)))))) (+ (* 1/6 (pow x 6)) (* 1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))))) y)) (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4))))) y)) (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y))) |
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y)) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* (pow y 2) (+ (* -1 (/ (- (/ 1 x) (/ 1 (* x y))) y)) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))) |
(* -1 (* y (+ (* -1 (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 (* x y))))) |
(* (pow y 2) (+ 1/2 (+ (* -1 (/ (+ x (* -1 (/ x y))) y)) (* 1/2 x)))) |
(* (pow y 2) (+ (* -1 (/ (- (/ 1 x) (/ 1 (* x y))) y)) (+ (/ 1/2 x) (* 1/2 (/ 1 (pow x 2)))))) |
(* -1 (/ (* y (+ (* -1/2 x) (* -1/2 (pow x 2)))) (pow x 2))) |
(* -1 (* y (+ (* -1/2 x) (* -1/2 (pow x 2))))) |
(* (pow y 2) (+ 1/2 (+ (* -1 (/ (- 1 (/ 1 y)) y)) (* 1/2 (/ 1 x))))) |
| Outputs |
|---|
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (* x (+ (log x) (log (/ 1 y))))) x) |
(/.f64 (fma.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) x #s(literal 1 binary64)) x) |
(/ (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y))))))) x) |
(/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) y)) x (+.f64 (neg.f64 (log.f64 y)) (log.f64 x))) x #s(literal 1 binary64)) x) |
(/ (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (* x (+ (* -1 (/ (+ (log x) (log (/ 1 y))) y)) (+ (* 1/6 (pow (+ (log x) (log (/ 1 y))) 3)) (* 1/2 (/ 1 (pow y 2))))))) (/ 1 y))))))) x) |
(/.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) #s(literal 3 binary64)) #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) (neg.f64 y)))) x (*.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) y)) x (+.f64 (neg.f64 (log.f64 y)) (log.f64 x))) x #s(literal 1 binary64)) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* x (+ (log x) (log (/ 1 y))))) |
(fma.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) x #s(literal 1 binary64)) |
(+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y))))))) |
(fma.f64 (fma.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) y)) x (+.f64 (neg.f64 (log.f64 y)) (log.f64 x))) x #s(literal 1 binary64)) |
(+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (* x (+ (* -1 (/ (+ (log x) (log (/ 1 y))) y)) (+ (* 1/6 (pow (+ (log x) (log (/ 1 y))) 3)) (* 1/2 (/ 1 (pow y 2))))))) (/ 1 y))))))) |
(fma.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) #s(literal 3 binary64)) #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) (neg.f64 y)))) x (*.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) y)) x (+.f64 (neg.f64 (log.f64 y)) (log.f64 x))) x #s(literal 1 binary64)) |
(/ x y) |
(/.f64 x y) |
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y))) |
(/.f64 (-.f64 x (*.f64 x (/.f64 x y))) y) |
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y))) |
(fma.f64 (*.f64 x x) (-.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) y) y)) (/.f64 x y)) |
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))) |
(fma.f64 (*.f64 x x) (fma.f64 (neg.f64 x) (/.f64 x (pow.f64 y #s(literal 4 binary64))) (-.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) y) y))) (/.f64 x y)) |
y |
(+ x y) |
(+.f64 y x) |
(* 1/2 (/ (pow y 2) (pow x 2))) |
(*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) y) y) |
(/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) (pow x 2)) |
(/.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x) x) |
(* 1/2 (/ y (pow x 2))) |
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) y) |
(/ (+ (* 1/2 y) (* x (- (* 1/2 y) 1))) (pow x 2)) |
(/.f64 (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) x (*.f64 #s(literal 1/2 binary64) y)) x) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(* 1/2 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 1/2 binary64)) |
(+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) |
(fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) |
(* 1/2 (/ y x)) |
(*.f64 (/.f64 y x) #s(literal 1/2 binary64)) |
(/ (+ (* 1/2 y) (* 1/2 (* x y))) x) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) (/.f64 y x)) |
(* 1/2 (* x y)) |
(*.f64 (*.f64 y x) #s(literal 1/2 binary64)) |
(* x (+ (* 1/2 y) (* 1/2 (* x y)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) y) x) |
(* 1/2 (/ (pow y 2) x)) |
(*.f64 (*.f64 y (/.f64 y x)) #s(literal 1/2 binary64)) |
(/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) x) |
(/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x) |
(/ (exp (* -1 y)) x) |
(/.f64 (exp.f64 (neg.f64 y)) x) |
(/ (+ (exp (* -1 y)) (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) x) |
(/.f64 (fma.f64 (exp.f64 (neg.f64 y)) (*.f64 (*.f64 y (/.f64 y x)) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 y))) x) |
(/ (+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2)))) x) |
(/.f64 (fma.f64 (*.f64 (exp.f64 (neg.f64 y)) (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) x) (fma.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/6 binary64) (*.f64 (pow.f64 (*.f64 y y) #s(literal 2 binary64)) #s(literal 1/8 binary64))) (/.f64 (exp.f64 (neg.f64 y)) (*.f64 x x)) (exp.f64 (neg.f64 y)))) x) |
(/ (+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (+ (/ (* (exp (* -1 y)) (+ (* 1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (+ (* 1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) (pow x 3)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2))))) x) |
(/.f64 (fma.f64 (*.f64 (exp.f64 (neg.f64 y)) (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) x) (fma.f64 (exp.f64 (neg.f64 y)) (+.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal 1/48 binary64) (fma.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 y y)) (*.f64 #s(literal -2 binary64) (pow.f64 y #s(literal 3 binary64))) (*.f64 (fma.f64 #s(literal -24 binary64) (pow.f64 y #s(literal 4 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 30 binary64))) #s(literal 1/24 binary64)))) (pow.f64 x #s(literal 3 binary64))) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/6 binary64) (*.f64 (pow.f64 (*.f64 y y) #s(literal 2 binary64)) #s(literal 1/8 binary64))) x) x)) (exp.f64 (neg.f64 y)))) x) |
(exp (* -1 y)) |
(exp.f64 (neg.f64 y)) |
(+ (exp (* -1 y)) (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) |
(fma.f64 (exp.f64 (neg.f64 y)) (*.f64 (*.f64 y (/.f64 y x)) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 y))) |
(+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2)))) |
(fma.f64 (*.f64 (exp.f64 (neg.f64 y)) (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) x) (fma.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/6 binary64) (*.f64 (pow.f64 (*.f64 y y) #s(literal 2 binary64)) #s(literal 1/8 binary64))) (/.f64 (exp.f64 (neg.f64 y)) (*.f64 x x)) (exp.f64 (neg.f64 y)))) |
(+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (+ (/ (* (exp (* -1 y)) (+ (* 1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (+ (* 1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) (pow x 3)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2))))) |
(fma.f64 (*.f64 (exp.f64 (neg.f64 y)) (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) x) (fma.f64 (exp.f64 (neg.f64 y)) (+.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal 1/48 binary64) (fma.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 y y)) (*.f64 #s(literal -2 binary64) (pow.f64 y #s(literal 3 binary64))) (*.f64 (fma.f64 #s(literal -24 binary64) (pow.f64 y #s(literal 4 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 30 binary64))) #s(literal 1/24 binary64)))) (pow.f64 x #s(literal 3 binary64))) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/6 binary64) (*.f64 (pow.f64 (*.f64 y y) #s(literal 2 binary64)) #s(literal 1/8 binary64))) x) x)) (exp.f64 (neg.f64 y)))) |
(+ 1 (* -1 (/ y x))) |
(-.f64 #s(literal 1 binary64) (/.f64 y x)) |
(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x)) |
(fma.f64 (/.f64 y x) (/.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 y x))) |
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))) |
(-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) (/.f64 (fma.f64 (*.f64 y (/.f64 y x)) #s(literal -1 binary64) y) x)) |
x |
(* x (+ 1 (/ y x))) |
(fma.f64 (/.f64 y x) x x) |
(/ (+ 1 (* y (- (* 1/2 y) 1))) x) |
(/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x) |
(/ (+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1)))) x) |
(/.f64 (fma.f64 (*.f64 y (/.f64 y x)) #s(literal 1/2 binary64) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) |
(/ (- (* 1/2 y) 1) x) |
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) x) |
(/ (- (+ (* 1/2 y) (* 1/2 (/ y x))) 1) x) |
(/.f64 (-.f64 (*.f64 (+.f64 (/.f64 y x) y) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) |
(* x (+ 1 (* y (- (* 1/2 y) 1)))) |
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x) |
(* x (+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1))))) |
(*.f64 (fma.f64 (*.f64 y (/.f64 y x)) #s(literal 1/2 binary64) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) |
(* 1/2 y) |
(*.f64 #s(literal 1/2 binary64) y) |
(+ (* 1/2 y) (* 1/2 (/ y x))) |
(*.f64 (+.f64 (/.f64 y x) y) #s(literal 1/2 binary64)) |
(* 1/2 (* (pow x 2) y)) |
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) y) |
(* (pow x 2) (+ (* 1/2 y) (* 1/2 (/ y x)))) |
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (+.f64 (/.f64 y x) y)) |
(+ 1 (* y (- (* 1/2 y) 1))) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1)))) |
(fma.f64 (*.f64 y (/.f64 y x)) #s(literal 1/2 binary64) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) |
(* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) x)) |
(/.f64 (fma.f64 (*.f64 (exp.f64 (neg.f64 y)) (*.f64 y y)) (/.f64 #s(literal -1/2 binary64) x) (neg.f64 (exp.f64 (neg.f64 y)))) (neg.f64 x)) |
(* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1 (/ (+ (* 1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (/ (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)))) x)) x))) x)) |
(/.f64 (-.f64 (neg.f64 (exp.f64 (neg.f64 y))) (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal -1/6 binary64) (*.f64 (pow.f64 (*.f64 y y) #s(literal 2 binary64)) #s(literal 1/8 binary64))) x) (exp.f64 (neg.f64 y)) (*.f64 (exp.f64 (neg.f64 y)) (*.f64 (*.f64 y y) #s(literal 1/2 binary64)))) x)) (neg.f64 x)) |
(* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2))))) (/ (* (exp (* -1 y)) (+ (* -1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) x)) x)) (* 1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))) x))) x)) |
(/.f64 (-.f64 (neg.f64 (exp.f64 (neg.f64 y))) (/.f64 (fma.f64 (*.f64 (exp.f64 (neg.f64 y)) (*.f64 y y)) #s(literal 1/2 binary64) (/.f64 (fma.f64 (neg.f64 (exp.f64 (neg.f64 y))) (/.f64 (fma.f64 #s(literal -1/24 binary64) (fma.f64 #s(literal -24 binary64) (pow.f64 y #s(literal 4 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 30 binary64))) (fma.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 y y)) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal -1/48 binary64)))) x) (*.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal -1/6 binary64) (*.f64 (pow.f64 (*.f64 y y) #s(literal 2 binary64)) #s(literal 1/8 binary64))) (exp.f64 (neg.f64 y)))) x)) x)) (neg.f64 x)) |
(+ (exp (* -1 y)) (* -1 (/ (+ (* -1 (/ (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)))) x)) (* -1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))) x))) |
(-.f64 (exp.f64 (neg.f64 y)) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) y) (exp.f64 (neg.f64 y)) (/.f64 (*.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal -1/6 binary64) (*.f64 (pow.f64 (*.f64 y y) #s(literal 2 binary64)) #s(literal 1/8 binary64))) (exp.f64 (neg.f64 y))) (neg.f64 x))) x)) |
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(fma.f64 (*.f64 (neg.f64 x) x) (/.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) y) (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x))))) |
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) y)) (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y))) |
(-.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) (/.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) (neg.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))) y))) (*.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) (*.f64 x x))) y)) |
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3)))))) (+ (* 1/6 (pow x 6)) (* 1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))))) y)) (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4))))) y)) (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y))) |
(-.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) (/.f64 (fma.f64 (*.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) x) x (/.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) (neg.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)) x (pow.f64 x #s(literal 6 binary64))) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)) (*.f64 x x))) y)) (*.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) (*.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64)))) (neg.f64 y))) y)) |
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y)) |
(/.f64 (fma.f64 x (/.f64 x y) (neg.f64 x)) (neg.f64 y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (*.f64 x x)) (neg.f64 y)) x) (neg.f64 y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) (neg.f64 y)) (*.f64 x x)) (neg.f64 y)) x) (neg.f64 y)) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(*.f64 (neg.f64 y) (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64))) |
(* -1 (* y (- 1 (/ 1 y)))) |
(*.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))) |
(* (pow y 2) (+ (* -1 (/ (- (/ 1 x) (/ 1 (* x y))) y)) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))) |
(*.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) y) x)) (neg.f64 y)) (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal -1/2 binary64) x))) (*.f64 y y)) |
(* -1 (* y (+ (* -1 (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 (* x y))))) |
(neg.f64 (fma.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (/.f64 #s(literal -1/2 binary64) x)) y (/.f64 y (*.f64 y x)))) |
(* (pow y 2) (+ 1/2 (+ (* -1 (/ (+ x (* -1 (/ x y))) y)) (* 1/2 x)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (-.f64 x (/.f64 x y)) y) #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64))) y) y) |
(* (pow y 2) (+ (* -1 (/ (- (/ 1 x) (/ 1 (* x y))) y)) (+ (/ 1/2 x) (* 1/2 (/ 1 (pow x 2)))))) |
(*.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) y) x)) (neg.f64 y)) (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal -1/2 binary64) x))) (*.f64 y y)) |
(* -1 (/ (* y (+ (* -1/2 x) (* -1/2 (pow x 2)))) (pow x 2))) |
(/.f64 (*.f64 (*.f64 (fma.f64 x x x) #s(literal -1/2 binary64)) y) (*.f64 (neg.f64 x) x)) |
(* -1 (* y (+ (* -1/2 x) (* -1/2 (pow x 2))))) |
(*.f64 (*.f64 (neg.f64 y) #s(literal -1/2 binary64)) (fma.f64 x x x)) |
(* (pow y 2) (+ 1/2 (+ (* -1 (/ (- 1 (/ 1 y)) y)) (* 1/2 (/ 1 x))))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y) #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y) y) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 60 | 434 |
| 0 | 89 | 406 |
| 1 | 346 | 381 |
| 2 | 2624 | 381 |
| 0 | 8939 | 374 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) x) |
(pow.f64 (/.f64 x (+.f64 y x)) x) |
(/.f64 x (+.f64 y x)) |
(+.f64 y x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (- 1 y) (neg.f64 y))) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (- 1 y) (neg.f64 y))) |
#s(approx (- 1 y) (neg.f64 y)) |
(neg.f64 y) |
#s(approx (* (sqrt (pow (/ x (+ y x)) x)) (/ (sqrt (pow (/ x (+ y x)) x)) x)) (fma.f64 #s(approx (- (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ 1 x)) (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))) |
(fma.f64 #s(approx (- (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ 1 x)) (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x)) |
#s(approx (- (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ 1 x)) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 #s(literal -1 binary64) x) |
(fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) |
#s(approx (* (sqrt (pow (/ x (+ y x)) x)) (/ (sqrt (pow (/ x (+ y x)) x)) x)) #s(approx (+ (* (- (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ 1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) (*.f64 x x)))) |
#s(approx (+ (* (- (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ 1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) (*.f64 x x))) |
(/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) (*.f64 x x)) |
(/.f64 (fma.f64 (*.f64 (*.f64 y x) #s(literal 1/2 binary64)) x (*.f64 (*.f64 y x) #s(literal 1/2 binary64))) (*.f64 x x)) |
(fma.f64 (*.f64 (*.f64 y x) #s(literal 1/2 binary64)) x (*.f64 (*.f64 y x) #s(literal 1/2 binary64))) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (/.f64 (fma.f64 (*.f64 (*.f64 y x) #s(literal 1/2 binary64)) x (*.f64 (*.f64 y x) #s(literal 1/2 binary64))) (*.f64 x x))) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (/.f64 (fma.f64 (*.f64 (*.f64 y x) #s(literal 1/2 binary64)) x (*.f64 (*.f64 y x) #s(literal 1/2 binary64))) (*.f64 x x))) #s(literal 1 binary64)) y #s(literal 1 binary64))) |
(*.f64 (*.f64 y y) #s(literal 1/2 binary64)) |
(fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (/.f64 (fma.f64 (*.f64 (*.f64 y x) #s(literal 1/2 binary64)) x (*.f64 (*.f64 y x) #s(literal 1/2 binary64))) (*.f64 x x))) #s(literal 1 binary64)) y #s(literal 1 binary64)) |
| Outputs |
|---|
(*.f64 (/.f64 (sqrt.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)) x) (sqrt.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))) |
(*.f64 (sqrt.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)) (/.f64 (sqrt.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)) x)) |
(/.f64 (fma.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))) x (*.f64 x (sinh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))))) (*.f64 x x)) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)) (neg.f64 x)) |
(/.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) x) |
(neg.f64 (/.f64 (neg.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)) x)) |
(neg.f64 (/.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) (neg.f64 x))) |
(+.f64 (/.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))) x) (/.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))) x)) |
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 x (*.f64 (+.f64 y x) (-.f64 x y))) (*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64)))) (pow.f64 (-.f64 x y) (*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64))))) |
(*.f64 (pow.f64 (/.f64 x (fma.f64 y y (*.f64 (neg.f64 x) x))) (*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64)))) (pow.f64 (-.f64 y x) (*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64))))) |
(*.f64 (pow.f64 (/.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64)))) (pow.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64))))) |
(*.f64 (pow.f64 (/.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64)))) (pow.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64))))) |
(*.f64 (pow.f64 (/.f64 x (*.f64 (+.f64 y x) (-.f64 x y))) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64)))) (pow.f64 (-.f64 x y) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64))))) |
(*.f64 (pow.f64 (/.f64 x (fma.f64 y y (*.f64 (neg.f64 x) x))) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64)))) (pow.f64 (-.f64 y x) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64))))) |
(*.f64 (pow.f64 (/.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64)))) (pow.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64))))) |
(*.f64 (pow.f64 (/.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64)))) (pow.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64))))) |
(*.f64 (pow.f64 (/.f64 x (*.f64 (+.f64 y x) (-.f64 x y))) x) (pow.f64 (-.f64 x y) x)) |
(*.f64 (pow.f64 (/.f64 x (fma.f64 y y (*.f64 (neg.f64 x) x))) x) (pow.f64 (-.f64 y x) x)) |
(*.f64 (pow.f64 (/.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) x) (pow.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) x)) |
(*.f64 (pow.f64 (/.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) x) (pow.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) x)) |
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)))) (neg.f64 (neg.f64 (sqrt.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))))) |
(*.f64 (neg.f64 (sqrt.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))) (neg.f64 (sqrt.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)))) |
(*.f64 (sqrt.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)) (sqrt.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))) |
(pow.f64 (*.f64 (exp.f64 x) (exp.f64 x)) (/.f64 (log.f64 (/.f64 x (+.f64 y x))) #s(literal 2 binary64))) |
(pow.f64 (*.f64 (exp.f64 x) (exp.f64 x)) (*.f64 (log.f64 (/.f64 x (+.f64 y x))) #s(literal 1/2 binary64))) |
(pow.f64 (pow.f64 (pow.f64 (/.f64 x (+.f64 y x)) #s(literal 2 binary64)) x) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (/.f64 x (+.f64 y x)) #s(literal 2 binary64)) (*.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) |
(pow.f64 (pow.f64 (/.f64 x (+.f64 y x)) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x)) |
(pow.f64 (pow.f64 (/.f64 x (+.f64 y x)) #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64))) |
(pow.f64 (neg.f64 (sqrt.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 x) (+.f64 (/.f64 (log.f64 (/.f64 x (+.f64 y x))) #s(literal 2 binary64)) (/.f64 (log.f64 (/.f64 x (+.f64 y x))) #s(literal 2 binary64)))) |
(pow.f64 (exp.f64 x) (fma.f64 (log.f64 (/.f64 x (+.f64 y x))) #s(literal 1/2 binary64) (/.f64 (log.f64 (/.f64 x (+.f64 y x))) #s(literal 2 binary64)))) |
(pow.f64 (exp.f64 x) (+.f64 (/.f64 (log.f64 (/.f64 x (+.f64 y x))) #s(literal 2 binary64)) (*.f64 (log.f64 (/.f64 x (+.f64 y x))) #s(literal 1/2 binary64)))) |
(pow.f64 (exp.f64 x) (fma.f64 (log.f64 (/.f64 x (+.f64 y x))) #s(literal 1/2 binary64) (*.f64 (log.f64 (/.f64 x (+.f64 y x))) #s(literal 1/2 binary64)))) |
(pow.f64 (exp.f64 x) (*.f64 (/.f64 (log.f64 (/.f64 x (+.f64 y x))) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(pow.f64 (exp.f64 x) (*.f64 (*.f64 (log.f64 (/.f64 x (+.f64 y x))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) |
(pow.f64 (exp.f64 x) (*.f64 (log.f64 (/.f64 x (+.f64 y x))) #s(literal 1 binary64))) |
(pow.f64 (exp.f64 x) (log.f64 (/.f64 x (+.f64 y x)))) |
(pow.f64 (sqrt.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) #s(literal 1 binary64)) |
(pow.f64 (/.f64 x (+.f64 y x)) (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) x))) |
(pow.f64 (/.f64 x (+.f64 y x)) (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))) |
(pow.f64 (/.f64 x (+.f64 y x)) (fma.f64 #s(literal 1/2 binary64) x (/.f64 x #s(literal 2 binary64)))) |
(pow.f64 (/.f64 x (+.f64 y x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))) |
(pow.f64 (/.f64 x (+.f64 y x)) (*.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) |
(pow.f64 (/.f64 x (+.f64 y x)) (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))) |
(pow.f64 (/.f64 x (+.f64 y x)) (*.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))) |
(pow.f64 (/.f64 x (+.f64 y x)) (*.f64 x #s(literal 1 binary64))) |
(pow.f64 (/.f64 x (+.f64 y x)) (*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64)))) |
(pow.f64 (/.f64 x (+.f64 y x)) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64)))) |
(pow.f64 (/.f64 x (+.f64 y x)) x) |
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)))))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)))))) #s(literal 4 binary64)) |
(/.f64 (pow.f64 (exp.f64 x) (log.f64 (neg.f64 x))) (pow.f64 (exp.f64 x) (log.f64 (neg.f64 (+.f64 y x))))) |
(/.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))) #s(literal 2 binary64)) (*.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))) (sinh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))))))) |
(/.f64 (pow.f64 (exp.f64 x) (log.f64 x)) (pow.f64 (exp.f64 x) (log.f64 (+.f64 y x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (+.f64 y x)) x))) |
(sqrt.f64 (pow.f64 (pow.f64 (/.f64 x (+.f64 y x)) #s(literal 2 binary64)) x)) |
(fabs.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (pow.f64 (/.f64 x (+.f64 y x)) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) #s(literal 2 binary64))) (/.f64 x #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (+.f64 y x))) (*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64))))) |
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(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 y x) #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 x (*.f64 y x)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 y x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 x (pow.f64 (*.f64 (*.f64 y x) #s(literal 1/2 binary64)) #s(literal 2 binary64)))))) (/.f64 (pow.f64 (*.f64 (*.f64 y x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 x (*.f64 y x)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 y x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 x (pow.f64 (*.f64 (*.f64 y x) #s(literal 1/2 binary64)) #s(literal 2 binary64))))))) |
(+.f64 (*.f64 (*.f64 (*.f64 y x) #s(literal 1/2 binary64)) x) (*.f64 (neg.f64 (*.f64 (neg.f64 x) y)) #s(literal 1/2 binary64))) |
(+.f64 (*.f64 (*.f64 (*.f64 y x) #s(literal 1/2 binary64)) x) (*.f64 (*.f64 y x) #s(literal 1/2 binary64))) |
(+.f64 (*.f64 (*.f64 y x) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 y x) #s(literal 1/2 binary64)) x)) |
(/.f64 (neg.f64 (neg.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (/.f64 (*.f64 (*.f64 y x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64))) (*.f64 x x))) #s(literal 1 binary64)) y #s(literal 1 binary64))))) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (/.f64 (*.f64 (*.f64 y x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64))) (*.f64 x x))) #s(literal 1 binary64)) y #s(literal 1 binary64)))) (neg.f64 x)) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (/.f64 (*.f64 (*.f64 y x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64))) (*.f64 x x))) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) |
(neg.f64 (/.f64 (neg.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (/.f64 (*.f64 (*.f64 y x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64))) (*.f64 x x))) #s(literal 1 binary64)) y #s(literal 1 binary64)))) x)) |
(neg.f64 (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (/.f64 (*.f64 (*.f64 y x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64))) (*.f64 x x))) #s(literal 1 binary64)) y #s(literal 1 binary64))) (neg.f64 x))) |
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (/.f64 (*.f64 (*.f64 y x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64))) (*.f64 x x))) #s(literal 1 binary64)) y #s(literal 1 binary64))) |
(*.f64 (fabs.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 y))) y) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 y)) (neg.f64 y)) |
(*.f64 (*.f64 y y) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) y) y) |
(*.f64 #s(literal 1/2 binary64) (*.f64 y y)) |
(*.f64 (neg.f64 y) (*.f64 (neg.f64 y) #s(literal 1/2 binary64))) |
(*.f64 y (fabs.f64 (*.f64 (neg.f64 y) #s(literal 1/2 binary64)))) |
(*.f64 y (*.f64 #s(literal 1/2 binary64) y)) |
(sqrt.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/4 binary64))) |
(fabs.f64 (*.f64 (*.f64 (neg.f64 y) y) #s(literal 1/2 binary64))) |
(fabs.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (/.f64 (*.f64 (*.f64 y x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64))) (*.f64 x x))) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (/.f64 (*.f64 (*.f64 y x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64))) (*.f64 x x))) #s(literal 1 binary64)) y) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (/.f64 (*.f64 (*.f64 y x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64))) (*.f64 x x))) #s(literal 1 binary64)) y) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (/.f64 (*.f64 (*.f64 y x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64))) (*.f64 x x))) #s(literal 1 binary64)) y) #s(literal 1 binary64)) (-.f64 (*.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (/.f64 (*.f64 (*.f64 y x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64))) (*.f64 x x))) #s(literal 1 binary64)) y) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (/.f64 (*.f64 (*.f64 y x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64))) (*.f64 x x))) #s(literal 1 binary64)) y) #s(literal 3 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (/.f64 (*.f64 (*.f64 y x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64))) (*.f64 x x))) #s(literal 1 binary64)) y)) (pow.f64 (*.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (/.f64 (*.f64 (*.f64 y x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64))) (*.f64 x x))) #s(literal 1 binary64)) y) #s(literal 2 binary64))) (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (/.f64 (*.f64 (*.f64 y x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64))) (*.f64 x x))) #s(literal 1 binary64)) y)) (pow.f64 (*.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (/.f64 (*.f64 (*.f64 y x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64))) (*.f64 x x))) #s(literal 1 binary64)) y) #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (/.f64 (*.f64 (*.f64 y x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64))) (*.f64 x x))) #s(literal 1 binary64)) y)) (pow.f64 (*.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (/.f64 (*.f64 (*.f64 y x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64))) (*.f64 x x))) #s(literal 1 binary64)) y) #s(literal 2 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (/.f64 (*.f64 (*.f64 y x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64))) (*.f64 x x))) #s(literal 1 binary64)) y)) (pow.f64 (*.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (/.f64 (*.f64 (*.f64 y x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64))) (*.f64 x x))) #s(literal 1 binary64)) y) #s(literal 2 binary64))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (/.f64 (*.f64 (*.f64 y x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64))) (*.f64 x x))) #s(literal 1 binary64)) y) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (/.f64 (*.f64 (*.f64 y x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64))) (*.f64 x x))) #s(literal 1 binary64)) y))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (/.f64 (*.f64 (*.f64 y x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64))) (*.f64 x x))) #s(literal 1 binary64)) y) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (*.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (/.f64 (*.f64 (*.f64 y x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64))) (*.f64 x x))) #s(literal 1 binary64)) y) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (/.f64 (*.f64 (*.f64 y x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64))) (*.f64 x x))) #s(literal 1 binary64)) y) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (/.f64 (*.f64 (*.f64 y x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64))) (*.f64 x x))) #s(literal 1 binary64)) y)) (pow.f64 (*.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (/.f64 (*.f64 (*.f64 y x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64))) (*.f64 x x))) #s(literal 1 binary64)) y) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (/.f64 (*.f64 (*.f64 y x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64))) (*.f64 x x))) #s(literal 1 binary64)) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (/.f64 (*.f64 (*.f64 y x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64))) (*.f64 x x))) #s(literal 1 binary64)) y) #s(literal 1 binary64))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (/.f64 (*.f64 (*.f64 y x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64))) (*.f64 x x))) #s(literal 1 binary64)) y) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (/.f64 (*.f64 (*.f64 y x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64))) (*.f64 x x))) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (*.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (/.f64 (*.f64 (*.f64 y x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64))) (*.f64 x x))) #s(literal 1 binary64)) y)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (/.f64 (*.f64 (*.f64 y x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64))) (*.f64 x x))) #s(literal 1 binary64)) y) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (/.f64 (*.f64 (*.f64 y x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64))) (*.f64 x x))) #s(literal 1 binary64)) y)) (pow.f64 (*.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (/.f64 (*.f64 (*.f64 y x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64))) (*.f64 x x))) #s(literal 1 binary64)) y) #s(literal 2 binary64)))) |
(fma.f64 (*.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (/.f64 (*.f64 (*.f64 y x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64))) (*.f64 x x))) #s(literal 1 binary64)) y) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (/.f64 (*.f64 (*.f64 y x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64))) (*.f64 x x))) #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (/.f64 (*.f64 (*.f64 y x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64))) (*.f64 x x))) #s(literal 1 binary64)) y) #s(literal 1 binary64)) |
(fma.f64 y (*.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (/.f64 (*.f64 (*.f64 y x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64))) (*.f64 x x))) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 y (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (/.f64 (*.f64 (*.f64 y x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64))) (*.f64 x x))) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(-.f64 (/.f64 (pow.f64 (*.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (/.f64 (*.f64 (*.f64 y x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64))) (*.f64 x x))) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (/.f64 (*.f64 (*.f64 y x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64))) (*.f64 x x))) #s(literal 1 binary64)) y) #s(literal 1 binary64))) (pow.f64 (-.f64 (*.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (/.f64 (*.f64 (*.f64 y x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64))) (*.f64 x x))) #s(literal 1 binary64)) y) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (/.f64 (*.f64 (*.f64 y x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64))) (*.f64 x x))) #s(literal 1 binary64))) y)) |
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (/.f64 (*.f64 (*.f64 y x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64))) (*.f64 x x))) #s(literal 1 binary64)))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (/.f64 (*.f64 (*.f64 y x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64))) (*.f64 x x))) #s(literal 1 binary64)) y) #s(literal 3 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (/.f64 (*.f64 (*.f64 y x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64))) (*.f64 x x))) #s(literal 1 binary64)) y)) (pow.f64 (*.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (/.f64 (*.f64 (*.f64 y x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64))) (*.f64 x x))) #s(literal 1 binary64)) y) #s(literal 2 binary64)))) (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (/.f64 (*.f64 (*.f64 y x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64))) (*.f64 x x))) #s(literal 1 binary64)) y)) (pow.f64 (*.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (/.f64 (*.f64 (*.f64 y x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64))) (*.f64 x x))) #s(literal 1 binary64)) y) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(+.f64 (*.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (/.f64 (*.f64 (*.f64 y x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64))) (*.f64 x x))) #s(literal 1 binary64)) y) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (/.f64 (*.f64 (*.f64 y x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64))) (*.f64 x x))) #s(literal 1 binary64)) y)) |
Compiled 25 593 to 2 892 computations (88.7% saved)
21 alts after pruning (15 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 517 | 8 | 525 |
| Fresh | 0 | 7 | 7 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 5 | 5 |
| Total | 521 | 21 | 542 |
| Status | Accuracy | Program |
|---|---|---|
| 42.3% | (/.f64 (pow.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) x) x) | |
| ✓ | 77.7% | (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) |
| ✓ | 60.7% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) |
| 31.0% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) x (*.f64 #s(literal -1/3 binary64) y)) (*.f64 x x))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) | |
| 50.4% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (/.f64 (/.f64 (*.f64 (*.f64 y x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64))) x) x)) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) | |
| ✓ | 57.0% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y x y)) x)) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) |
| 30.5% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (/.f64 #s(approx (+ (* (* (* y x) 1/2) x) (* (* y x) 1/2)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) y)) (*.f64 x x))) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) | |
| 59.4% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (*.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) | |
| 29.3% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (- (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) y) 1) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x (*.f64 (*.f64 y y) #s(literal -1/3 binary64))) (*.f64 x x))) y #s(literal 1 binary64))) x) | |
| ✓ | 55.7% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) x) |
| ✓ | 4.1% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (- 1 y) (neg.f64 y))) x) |
| 55.7% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x))) x) | |
| 4.7% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (*.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64)))) x) | |
| ✓ | 77.1% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) |
| 42.3% | (*.f64 (pow.f64 (/.f64 x (+.f64 y x)) (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 (pow.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) x)) x)) | |
| 78.4% | (*.f64 (*.f64 (sqrt.f64 (pow.f64 (pow.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) #s(literal 1/4 binary64)) #s(literal 3 binary64))) (sqrt.f64 (pow.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) #s(literal 1/4 binary64)))) (/.f64 (sqrt.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)) x)) | |
| 15.3% | #s(approx (* (sqrt (pow (/ x (+ y x)) x)) (/ (sqrt (pow (/ x (+ y x)) x)) x)) #s(approx (+ (* (- (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ 1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x) (*.f64 (neg.f64 x) x) (*.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 y) y) #s(literal 1/2 binary64)))) (*.f64 (*.f64 x x) (*.f64 (neg.f64 x) x))))) | |
| 31.4% | #s(approx (* (sqrt (pow (/ x (+ y x)) x)) (/ (sqrt (pow (/ x (+ y x)) x)) x)) #s(approx (+ (* (- (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ 1 x)) y) (/ 1 x)) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (-.f64 x (*.f64 y x))) (*.f64 x x)))) | |
| 6.0% | #s(approx (* (sqrt (pow (/ x (+ y x)) x)) (/ (sqrt (pow (/ x (+ y x)) x)) x)) #s(approx (+ (* (- (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ 1 x)) y) (/ 1 x)) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) y) y)) (*.f64 x x)))) | |
| 5.9% | #s(approx (* (sqrt (pow (/ x (+ y x)) x)) (/ (sqrt (pow (/ x (+ y x)) x)) x)) #s(approx (+ (* (- (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ 1 x)) y) (/ 1 x)) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) (*.f64 x x)))) | |
| 8.9% | #s(approx (* (sqrt (pow (/ x (+ y x)) x)) (/ (sqrt (pow (/ x (+ y x)) x)) x)) #s(approx (+ (* (- (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ 1 x)) y) (/ 1 x)) (*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) y) y))) |
Compiled 2 174 to 779 computations (64.2% saved)
| Inputs |
|---|
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (- 1 y) (neg.f64 y))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) x) |
#s(approx (* (sqrt (pow (/ x (+ y x)) x)) (/ (sqrt (pow (/ x (+ y x)) x)) x)) #s(approx (+ (* (- (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ 1 x)) y) (/ 1 x)) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (-.f64 x (*.f64 y x))) (*.f64 x x)))) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (*.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) |
#s(approx (* (sqrt (pow (/ x (+ y x)) x)) (/ (sqrt (pow (/ x (+ y x)) x)) x)) #s(approx (+ (* (- (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ 1 x)) y) (/ 1 x)) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) (*.f64 x x)))) |
#s(approx (* (sqrt (pow (/ x (+ y x)) x)) (/ (sqrt (pow (/ x (+ y x)) x)) x)) (fma.f64 #s(approx (- (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ 1 x)) (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) |
#s(approx (* (sqrt (pow (/ x (+ y x)) x)) (/ (sqrt (pow (/ x (+ y x)) x)) x)) #s(approx (+ (* (- (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ 1 x)) y) (/ 1 x)) (*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) y) y))) |
#s(approx (* (sqrt (pow (/ x (+ y x)) x)) (/ (sqrt (pow (/ x (+ y x)) x)) x)) #s(approx (+ (* (- (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ 1 x)) y) (/ 1 x)) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) y) y)) (*.f64 x x)))) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (*.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64)))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y x y)) x)) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) |
#s(approx (* (sqrt (pow (/ x (+ y x)) x)) (/ (sqrt (pow (/ x (+ y x)) x)) x)) #s(approx (+ (* (- (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ 1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) (*.f64 x x)))) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (/.f64 #s(approx (+ (* (* (* y x) 1/2) x) (* (* y x) 1/2)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) y)) (*.f64 x x))) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (/.f64 (/.f64 (*.f64 (*.f64 y x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64))) x) x)) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (/.f64 (fma.f64 (*.f64 (*.f64 y x) #s(literal 1/2 binary64)) x (*.f64 (*.f64 y x) #s(literal 1/2 binary64))) (*.f64 x x))) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) |
#s(approx (* (sqrt (pow (/ x (+ y x)) x)) (/ (sqrt (pow (/ x (+ y x)) x)) x)) (fma.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) y) (/.f64 #s(literal 1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) x (*.f64 #s(literal -1/3 binary64) y)) (*.f64 x x))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal -1/2 binary64) x)) y) (/.f64 #s(literal 1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (- (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) y) 1) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x (*.f64 (*.f64 y y) #s(literal -1/3 binary64))) (*.f64 x x))) y #s(literal 1 binary64))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) y) (/.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) y) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x (*.f64 #s(literal -1/3 binary64) (*.f64 y y))) (*.f64 x x))) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) |
#s(approx (* (sqrt (pow (/ x (+ y x)) x)) (/ (sqrt (pow (/ x (+ y x)) x)) x)) #s(approx (+ (* (- (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ 1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x) (*.f64 (neg.f64 x) x) (*.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 y) y) #s(literal 1/2 binary64)))) (*.f64 (*.f64 x x) (*.f64 (neg.f64 x) x))))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) #s(literal 1/2 binary64)) x) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) y) (/.f64 #s(literal 1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))) |
(/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) |
(/.f64 (pow.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) x) x) |
(/.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) x) |
(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) |
(*.f64 (pow.f64 (/.f64 x (+.f64 y x)) (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 (pow.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) x)) x)) |
(*.f64 (pow.f64 (/.f64 x (+.f64 y x)) (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)) x)) |
(*.f64 (sqrt.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)) (/.f64 (sqrt.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)) x)) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (pow.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) #s(literal 1/4 binary64)) #s(literal 3 binary64))) (sqrt.f64 (pow.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) #s(literal 1/4 binary64)))) (/.f64 (sqrt.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)) x)) |
| Outputs |
|---|
(/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) |
(/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) |
3 calls:
| 12.0ms | (/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) |
| 9.0ms | x |
| 9.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.0% | 3 | (/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) |
| 99.1% | 3 | x |
| 83.7% | 3 | y |
Compiled 13 to 12 computations (7.7% saved)
| Inputs |
|---|
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (- 1 y) (neg.f64 y))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) x) |
#s(approx (* (sqrt (pow (/ x (+ y x)) x)) (/ (sqrt (pow (/ x (+ y x)) x)) x)) #s(approx (+ (* (- (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ 1 x)) y) (/ 1 x)) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (-.f64 x (*.f64 y x))) (*.f64 x x)))) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (*.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) |
#s(approx (* (sqrt (pow (/ x (+ y x)) x)) (/ (sqrt (pow (/ x (+ y x)) x)) x)) #s(approx (+ (* (- (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ 1 x)) y) (/ 1 x)) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) (*.f64 x x)))) |
#s(approx (* (sqrt (pow (/ x (+ y x)) x)) (/ (sqrt (pow (/ x (+ y x)) x)) x)) (fma.f64 #s(approx (- (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ 1 x)) (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) |
#s(approx (* (sqrt (pow (/ x (+ y x)) x)) (/ (sqrt (pow (/ x (+ y x)) x)) x)) #s(approx (+ (* (- (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ 1 x)) y) (/ 1 x)) (*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) y) y))) |
#s(approx (* (sqrt (pow (/ x (+ y x)) x)) (/ (sqrt (pow (/ x (+ y x)) x)) x)) #s(approx (+ (* (- (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ 1 x)) y) (/ 1 x)) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) y) y)) (*.f64 x x)))) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (*.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64)))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y x y)) x)) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) |
#s(approx (* (sqrt (pow (/ x (+ y x)) x)) (/ (sqrt (pow (/ x (+ y x)) x)) x)) #s(approx (+ (* (- (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ 1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) (*.f64 x x)))) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (/.f64 #s(approx (+ (* (* (* y x) 1/2) x) (* (* y x) 1/2)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) y)) (*.f64 x x))) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (/.f64 (/.f64 (*.f64 (*.f64 y x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64))) x) x)) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (/.f64 (fma.f64 (*.f64 (*.f64 y x) #s(literal 1/2 binary64)) x (*.f64 (*.f64 y x) #s(literal 1/2 binary64))) (*.f64 x x))) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) |
#s(approx (* (sqrt (pow (/ x (+ y x)) x)) (/ (sqrt (pow (/ x (+ y x)) x)) x)) (fma.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) y) (/.f64 #s(literal 1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) x (*.f64 #s(literal -1/3 binary64) y)) (*.f64 x x))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal -1/2 binary64) x)) y) (/.f64 #s(literal 1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (- (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) y) 1) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x (*.f64 (*.f64 y y) #s(literal -1/3 binary64))) (*.f64 x x))) y #s(literal 1 binary64))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) y) (/.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) y) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x (*.f64 #s(literal -1/3 binary64) (*.f64 y y))) (*.f64 x x))) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) |
#s(approx (* (sqrt (pow (/ x (+ y x)) x)) (/ (sqrt (pow (/ x (+ y x)) x)) x)) #s(approx (+ (* (- (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ 1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x) (*.f64 (neg.f64 x) x) (*.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 y) y) #s(literal 1/2 binary64)))) (*.f64 (*.f64 x x) (*.f64 (neg.f64 x) x))))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) #s(literal 1/2 binary64)) x) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) y) (/.f64 #s(literal 1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))) |
| Outputs |
|---|
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) |
2 calls:
| 7.0ms | x |
| 7.0ms | (/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 77.1% | 1 | (/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) |
| 82.3% | 2 | x |
Compiled 12 to 10 computations (16.7% saved)
| Inputs |
|---|
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (- 1 y) (neg.f64 y))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) x) |
#s(approx (* (sqrt (pow (/ x (+ y x)) x)) (/ (sqrt (pow (/ x (+ y x)) x)) x)) #s(approx (+ (* (- (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ 1 x)) y) (/ 1 x)) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (-.f64 x (*.f64 y x))) (*.f64 x x)))) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (*.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) |
#s(approx (* (sqrt (pow (/ x (+ y x)) x)) (/ (sqrt (pow (/ x (+ y x)) x)) x)) #s(approx (+ (* (- (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ 1 x)) y) (/ 1 x)) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) (*.f64 x x)))) |
#s(approx (* (sqrt (pow (/ x (+ y x)) x)) (/ (sqrt (pow (/ x (+ y x)) x)) x)) (fma.f64 #s(approx (- (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ 1 x)) (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))) |
| Outputs |
|---|
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (*.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) |
2 calls:
| 3.0ms | x |
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 77.1% | 1 | y |
| 80.4% | 2 | x |
Compiled 2 to 4 computations (-100% saved)
Total -47.1b remaining (-321.4%)
Threshold costs -47.1b (-321.4%)
| Inputs |
|---|
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (- 1 y) (neg.f64 y))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) x) |
#s(approx (* (sqrt (pow (/ x (+ y x)) x)) (/ (sqrt (pow (/ x (+ y x)) x)) x)) #s(approx (+ (* (- (* (+ (/ 1/2 (* x x)) (/ 1/2 x)) y) (/ 1 x)) y) (/ 1 x)) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (-.f64 x (*.f64 y x))) (*.f64 x x)))) |
| Outputs |
|---|
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) |
2 calls:
| 2.0ms | x |
| 2.0ms | (/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 77.1% | 1 | (/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) |
| 77.1% | 1 | x |
Compiled 12 to 10 computations (16.7% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 49.0ms | 0.002316896526678202 | 14463196409.395723 |
| 78.0ms | -5.661085062853623e+52 | -1.8818962335283314e+50 |
| 66.0ms | 103× | 1 | valid |
| 15.0ms | 185× | 0 | valid |
| 6.0ms | 73× | 0 | invalid |
Compiled 500 to 409 computations (18.2% saved)
ival-mult: 35.0ms (46.5% of total)ival-log: 22.0ms (29.2% of total)ival-div: 8.0ms (10.6% of total)ival-exp: 4.0ms (5.3% of total)adjust: 3.0ms (4% of total)ival-add: 3.0ms (4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | -5.661085062853623e+52 | -1.8818962335283314e+50 |
Compiled 470 to 357 computations (24% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | -5.661085062853623e+52 | -1.8818962335283314e+50 |
Compiled 342 to 261 computations (23.7% saved)
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 51 | 155 |
| 1 | 86 | 140 |
| 2 | 149 | 140 |
| 3 | 257 | 140 |
| 4 | 516 | 140 |
| 5 | 1993 | 140 |
| 6 | 5338 | 140 |
| 1× | node limit |
| Inputs |
|---|
(if (<=.f64 x #s(literal -189999999999999993727375263935274792138448127918080 binary64)) (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) (if (<=.f64 x #s(literal 3/2 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x))) |
(if (<=.f64 x #s(literal -189999999999999993727375263935274792138448127918080 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x)) |
(if (<=.f64 x #s(literal -189999999999999993727375263935274792138448127918080 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (*.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x)) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) |
| Outputs |
|---|
(if (<=.f64 x #s(literal -189999999999999993727375263935274792138448127918080 binary64)) (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) (if (<=.f64 x #s(literal 3/2 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x))) |
(if (or (<=.f64 x #s(literal -189999999999999993727375263935274792138448127918080 binary64)) (not (<=.f64 x #s(literal 3/2 binary64)))) (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x)) |
(if (<=.f64 x #s(literal -189999999999999993727375263935274792138448127918080 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x)) |
(if (<=.f64 x #s(literal -189999999999999993727375263935274792138448127918080 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (*.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x)) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 554 | 3084 |
| 1 | 1948 | 2626 |
| 0 | 8623 | 2499 |
| 0 | 800 | 5091 |
| 1 | 2900 | 4387 |
| 0 | 8500 | 4158 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 155 to 53 computations (65.8% saved)
Compiled 420 to 164 computations (61% saved)
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