
Time bar (total: 8.6s)
| 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)
| 1.5s | 3 757× | 1 | valid |
| 453.0ms | 4 499× | 0 | valid |
| 15.0ms | 234× | 0 | invalid |
ival-log: 767.0ms (51.5% of total)ival-mult: 251.0ms (16.9% of total)ival-div: 180.0ms (12.1% of total)ival-exp: 101.0ms (6.8% of total)ival-add: 100.0ms (6.7% of total)adjust: 78.0ms (5.2% 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 |
|---|---|---|---|---|---|
| 157 | 38 | (-1.8269385200708373e+157 -1.5382234108503832e-283) | 1 | (-1.1243650982925834e+231 -2.959623761015869e-85) | (log.f64 (/.f64 x (+.f64 x y))) |
| 40 | 0 | - | 40 | (-1.0861767120059972e+62 -2.322130594062917e-266) | (*.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 | 175 | 0 |
log.f64 | (log.f64 (/.f64 x (+.f64 x y))) | uflow-rescue | 19 | 0 |
| ↳ | (log.f64 (/.f64 x (+.f64 x y))) | underflow | 38 | |
| ↳ | (/.f64 x (+.f64 x y)) | underflow | 19 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 66 | 0 |
| - | 128 | 62 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 66 | 0 | 0 |
| - | 128 | 0 | 62 |
| number | freq |
|---|---|
| 0 | 62 |
| 1 | 194 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 84.0ms | 238× | 1 | valid |
| 49.0ms | 88× | 2 | valid |
| 15.0ms | 186× | 0 | valid |
Compiled 191 to 44 computations (77% saved)
ival-div: 51.0ms (40.6% of total)ival-log: 48.0ms (38.2% of total)ival-exp: 9.0ms (7.2% of total)ival-add: 6.0ms (4.8% of total)adjust: 6.0ms (4.8% of total)ival-mult: 6.0ms (4.8% of total)ival-true: 1.0ms (0.8% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 65 |
| 1 | 60 | 51 |
| 2 | 125 | 49 |
| 3 | 333 | 49 |
| 4 | 702 | 49 |
| 5 | 1140 | 47 |
| 6 | 1569 | 47 |
| 7 | 2227 | 47 |
| 8 | 2558 | 47 |
| 9 | 2721 | 47 |
| 10 | 2951 | 47 |
| 11 | 3125 | 47 |
| 12 | 3254 | 47 |
| 13 | 3295 | 47 |
| 14 | 3295 | 47 |
| 15 | 3299 | 47 |
| 0 | 8 | 11 |
| 0 | 14 | 11 |
| 1 | 18 | 9 |
| 2 | 21 | 9 |
| 3 | 21 | 9 |
| 0 | 21 | 9 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| 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 |
|---|---|---|
| ▶ | 76.5% | (/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) |
Compiled 11 to 8 computations (27.3% saved)
| 1× | egg-herbie |
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 | 6656 | (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 | 18 | 40 |
| 2 | 21 | 40 |
| 3 | 21 | 40 |
| 0 | 21 | 40 |
| 1× | iter limit |
| 1× | saturated |
| 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 | 0.0078125 | (/.f64 x (+.f64 x y)) | |
| accuracy | 0.015625 | (/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) | |
| accuracy | 9.312099689543984 | (*.f64 x (log.f64 (/.f64 x (+.f64 x y)))) | |
| accuracy | 35.4642205056195 | (log.f64 (/.f64 x (+.f64 x y))) |
| 42.0ms | 119× | 1 | valid |
| 18.0ms | 44× | 2 | valid |
| 8.0ms | 93× | 0 | valid |
Compiled 90 to 18 computations (80% saved)
ival-log: 29.0ms (51.5% of total)ival-div: 11.0ms (19.5% of total)ival-mult: 6.0ms (10.6% of total)ival-exp: 4.0ms (7.1% of total)ival-add: 3.0ms (5.3% of total)adjust: 3.0ms (5.3% 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 | |
|---|---|---|---|---|
| 6.0ms | 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))) |
| 2.0ms | 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))) |
| 2.0ms | 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))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 554 | 3081 |
| 1 | 1674 | 2567 |
| 2 | 5691 | 2486 |
| 0 | 8305 | 2358 |
| 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) |
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(+ (log (* -1 x)) (+ (log (/ -1 y)) (* -1 (/ x y)))) |
(+.f64 (-.f64 (log.f64 (neg.f64 x)) (/.f64 x y)) (log.f64 (/.f64 #s(literal -1 binary64) y))) |
(+ (log (* -1 x)) (+ (log (/ -1 y)) (* -1 (/ (+ x (* -1/2 (/ (+ (* -1 (pow x 2)) (* 2 (pow x 2))) y))) y)))) |
(+.f64 (-.f64 (log.f64 (neg.f64 x)) (/.f64 (fma.f64 (*.f64 x (/.f64 x y)) #s(literal -1/2 binary64) x) y)) (log.f64 (/.f64 #s(literal -1 binary64) 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)))) |
(+.f64 (-.f64 (log.f64 (neg.f64 x)) (/.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 (/.f64 #s(literal -1 binary64) 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 (fma.f64 (neg.f64 x) x (/.f64 (pow.f64 x #s(literal 3 binary64)) y)) y) x) y) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y)) |
(/.f64 (+.f64 (/.f64 (neg.f64 (fma.f64 x x (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) y))) y) x) y) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 39 |
| 0 | 14 | 39 |
| 1 | 48 | 35 |
| 2 | 276 | 35 |
| 3 | 2526 | 35 |
| 0 | 8637 | 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 (pow.f64 (/.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) x) (neg.f64 x)) (pow.f64 (/.f64 (+.f64 y x) (fma.f64 (-.f64 y x) y (*.f64 x x))) (neg.f64 x))) |
(*.f64 (pow.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (neg.f64 x)) (pow.f64 (/.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) x) (neg.f64 x))) |
(*.f64 (pow.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (neg.f64 x)) (pow.f64 (pow.f64 (*.f64 (-.f64 x y) x) #s(literal -1 binary64)) (neg.f64 x))) |
(*.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 x)) (pow.f64 (/.f64 (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)) x) (neg.f64 x))) |
(*.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 x)) (pow.f64 (pow.f64 (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) x) #s(literal -1 binary64)) (neg.f64 x))) |
(*.f64 (pow.f64 (/.f64 x (*.f64 (+.f64 y x) (-.f64 y x))) x) (pow.f64 (-.f64 y x) x)) |
(*.f64 (pow.f64 (/.f64 (neg.f64 x) (*.f64 (-.f64 x y) (+.f64 y x))) x) (pow.f64 (neg.f64 (-.f64 x y)) x)) |
(*.f64 (pow.f64 (/.f64 (neg.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 #s(literal 1 binary64) (/.f64 (/.f64 x (+.f64 y x)) (-.f64 x y))) x) (pow.f64 (-.f64 x y) x)) |
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (/.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 (pow.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) x) (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) x)) |
(*.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 y x) x) #s(literal -1/2 binary64)) x) (pow.f64 (pow.f64 (/.f64 (+.f64 y x) x) #s(literal -1/2 binary64)) x)) |
(*.f64 (pow.f64 (pow.f64 (exp.f64 x) (neg.f64 (log.f64 x))) #s(literal -1 binary64)) (pow.f64 (exp.f64 x) (neg.f64 (log.f64 (+.f64 y x))))) |
(*.f64 (pow.f64 (pow.f64 (*.f64 (-.f64 x y) (+.f64 y x)) #s(literal -1 binary64)) x) (pow.f64 (*.f64 (-.f64 x y) x) x)) |
(*.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) x) (pow.f64 (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) x) x)) |
(*.f64 (pow.f64 #s(literal -1 binary64) (neg.f64 x)) (pow.f64 (/.f64 (-.f64 (neg.f64 x) y) x) (neg.f64 x))) |
(*.f64 (pow.f64 #s(literal -1 binary64) x) (pow.f64 (/.f64 x (-.f64 (neg.f64 x) y)) 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 (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (neg.f64 x)) (pow.f64 (/.f64 (+.f64 y x) (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) x)) (neg.f64 x))) |
(*.f64 (pow.f64 (/.f64 x (+.f64 y x)) (/.f64 x #s(literal 2 binary64))) (pow.f64 (/.f64 x (+.f64 y x)) (/.f64 x #s(literal 2 binary64)))) |
(*.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 (fma.f64 (-.f64 y x) y (*.f64 x x)) x)) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) x) (pow.f64 (neg.f64 x) x)) |
(*.f64 (pow.f64 (neg.f64 x) x) (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) x)) |
(*.f64 (pow.f64 (+.f64 y x) (neg.f64 x)) (pow.f64 (/.f64 (-.f64 x y) (*.f64 (-.f64 x y) x)) (neg.f64 x))) |
(*.f64 (pow.f64 (+.f64 y x) (neg.f64 x)) (pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (neg.f64 x))) |
(*.f64 (pow.f64 (+.f64 y x) (neg.f64 x)) (pow.f64 x x)) |
(*.f64 (pow.f64 x x) (pow.f64 (+.f64 y x) (neg.f64 x))) |
(*.f64 (pow.f64 (exp.f64 x) (neg.f64 (log.f64 (+.f64 y x)))) (pow.f64 (exp.f64 x) (log.f64 x))) |
(*.f64 (pow.f64 (exp.f64 x) (log.f64 (neg.f64 x))) (pow.f64 (exp.f64 x) (log.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x))))) |
(*.f64 (pow.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (exp.f64 x) (log.f64 x)) (pow.f64 (exp.f64 x) (neg.f64 (log.f64 (+.f64 y x))))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))) |
(*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (+.f64 y x)) x)) |
(*.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) (pow.f64 (/.f64 (-.f64 x y) (-.f64 x y)) (neg.f64 x))) |
(*.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) #s(literal 1 binary64)) |
(pow.f64 (*.f64 (/.f64 x (+.f64 y x)) (/.f64 x (+.f64 y x))) (/.f64 x #s(literal 2 binary64))) |
(pow.f64 (pow.f64 (exp.f64 x) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 (+.f64 y x)) #s(literal 2 binary64)))) (pow.f64 (log.f64 (*.f64 (+.f64 y x) x)) #s(literal -1 binary64))) |
(pow.f64 (pow.f64 (exp.f64 x) (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 (+.f64 y x)) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (log.f64 (+.f64 y x)) (log.f64 (*.f64 (+.f64 y x) x)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(pow.f64 (pow.f64 (exp.f64 x) #s(literal -1 binary64)) (log.f64 (/.f64 (+.f64 y x) x))) |
(pow.f64 (pow.f64 (/.f64 x (+.f64 y x)) (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 (/.f64 x (+.f64 y x))) #s(literal 1/2 binary64))) |
(pow.f64 (pow.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (/.f64 (+.f64 y x) x) x) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 y x) x) (*.f64 #s(literal 1 binary64) (neg.f64 x))) |
(pow.f64 (/.f64 (+.f64 y x) x) (neg.f64 x)) |
(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 #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) (log.f64 (/.f64 x (+.f64 y x)))) |
(pow.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) #s(literal 1 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)) (*.f64 (neg.f64 x) #s(literal -1 binary64))) |
(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 (neg.f64 (pow.f64 (exp.f64 x) (log.f64 (neg.f64 x)))) (neg.f64 (pow.f64 (exp.f64 x) (log.f64 (-.f64 (neg.f64 x) y))))) |
(/.f64 (neg.f64 (*.f64 (pow.f64 (exp.f64 x) (log.f64 x)) #s(literal 1 binary64))) (neg.f64 (pow.f64 (exp.f64 x) (log.f64 (+.f64 y 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 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (log.f64 (-.f64 (neg.f64 x) y)) #s(literal 2 binary64)))) |
(/.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 (pow.f64 (exp.f64 x) (log.f64 #s(literal -1 binary64))) (pow.f64 (exp.f64 x) (log.f64 (/.f64 (-.f64 (neg.f64 x) y) x)))) |
(/.f64 (neg.f64 (pow.f64 (exp.f64 x) (log.f64 x))) (neg.f64 (pow.f64 (exp.f64 x) (log.f64 (+.f64 y x))))) |
(/.f64 (*.f64 (pow.f64 (exp.f64 x) (log.f64 x)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) (log.f64 (+.f64 y x)))) |
(/.f64 (pow.f64 (exp.f64 x) (log.f64 (neg.f64 x))) (pow.f64 (exp.f64 x) (log.f64 (-.f64 (neg.f64 x) y)))) |
(/.f64 (pow.f64 (exp.f64 x) (log.f64 x)) (pow.f64 (exp.f64 x) (log.f64 (+.f64 y x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (/.f64 (+.f64 y x) x) x))) |
(/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 y x) x)) x))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (log.f64 (/.f64 (+.f64 y x) x)) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (+.f64 y x) x) x)) |
(neg.f64 (neg.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))) |
(exp.f64 (-.f64 (*.f64 x (log.f64 x)) (*.f64 x (log.f64 (+.f64 y x))))) |
(exp.f64 (neg.f64 (neg.f64 (*.f64 (log.f64 (/.f64 x (+.f64 y x))) x)))) |
(exp.f64 (fma.f64 x (*.f64 (log.f64 (/.f64 x (+.f64 y x))) #s(literal 1/2 binary64)) (*.f64 x (*.f64 (log.f64 (/.f64 x (+.f64 y x))) #s(literal 1/2 binary64))))) |
(exp.f64 (*.f64 (*.f64 x (*.f64 (log.f64 (/.f64 x (+.f64 y x))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (neg.f64 (*.f64 (log.f64 (/.f64 x (+.f64 y x))) x)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (*.f64 (log.f64 (/.f64 x (+.f64 y x))) #s(literal 1/2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) #s(literal 1/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 y x) x)) (neg.f64 x))) |
(exp.f64 (*.f64 x (*.f64 #s(literal 2 binary64) (*.f64 (log.f64 (/.f64 x (+.f64 y x))) #s(literal 1/2 binary64))))) |
(exp.f64 (*.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))))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (+.f64 y x) x) x)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (+.f64 y x))) x)) |
(*.f64 (pow.f64 (/.f64 x (pow.f64 (exp.f64 x) (log.f64 x))) #s(literal -1 binary64)) (pow.f64 (exp.f64 x) (neg.f64 (log.f64 (+.f64 y x))))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (/.f64 x (+.f64 y x)) x)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) #s(literal 1/2 binary64))) (pow.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (pow.f64 (/.f64 x (pow.f64 (/.f64 x (+.f64 y x)) x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 x (pow.f64 (/.f64 x (+.f64 y x)) x)) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) #s(literal 1/2 binary64)) (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) #s(literal 1/2 binary64)) x)) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (/.f64 x (+.f64 y x)) x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))) |
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)) x)) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 (+.f64 y x) x) x) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (/.f64 x (+.f64 y x)) x)) |
(*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) x)) |
(*.f64 (neg.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (/.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) x) #s(literal 1 binary64)) |
(*.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) (pow.f64 x #s(literal -1 binary64))) |
(pow.f64 (exp.f64 (log.f64 (/.f64 x (pow.f64 (/.f64 x (+.f64 y x)) x)))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 x (pow.f64 (/.f64 x (+.f64 y x)) x)) (/.f64 x (pow.f64 (/.f64 x (+.f64 y x)) x))) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (/.f64 x (pow.f64 (/.f64 x (+.f64 y x)) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 x (pow.f64 (/.f64 x (+.f64 y x)) x)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) x) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (/.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) #s(literal 1 binary64))) (neg.f64 x)) |
(/.f64 (neg.f64 (exp.f64 (fma.f64 x (log.f64 x) (neg.f64 (log.f64 x))))) (neg.f64 (pow.f64 (exp.f64 x) (log.f64 (+.f64 y x))))) |
(/.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (exp.f64 x) (log.f64 x)))) (neg.f64 (pow.f64 (exp.f64 x) (log.f64 (+.f64 y x))))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)) #s(literal 1 binary64))) x) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)))) x) |
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 x) (log.f64 x)))) (neg.f64 (*.f64 (neg.f64 x) (pow.f64 (exp.f64 x) (log.f64 (+.f64 y x)))))) |
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(/.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (exp.f64 (log.f64 (/.f64 (-.f64 (neg.f64 x) y) x)))) |
(/.f64 (*.f64 (/.f64 (/.f64 x (+.f64 y x)) (-.f64 x y)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #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 (neg.f64 x) #s(literal 1 binary64)) (-.f64 (neg.f64 x) y)) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (-.f64 (neg.f64 x) y)) |
(/.f64 (neg.f64 (*.f64 (-.f64 x y) x)) (*.f64 (-.f64 (neg.f64 x) y) (-.f64 x y))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) x)) (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
(/.f64 (*.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #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 (-.f64 x y) x) (*.f64 (-.f64 x y) (+.f64 y x))) |
(/.f64 (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) x) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
(/.f64 (/.f64 (/.f64 x (+.f64 y x)) (-.f64 x y)) (pow.f64 (-.f64 x y) #s(literal -1 binary64))) |
(/.f64 (/.f64 x (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal -1 binary64))) |
(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) |
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 (neg.f64 x) y) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) x)) |
(/.f64 (neg.f64 x) (-.f64 (neg.f64 x) y)) |
(/.f64 x (+.f64 y x)) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 x (-.f64 (neg.f64 x) y)))) |
(neg.f64 (/.f64 x (-.f64 (neg.f64 x) y))) |
(fma.f64 (/.f64 (/.f64 x (+.f64 y x)) (-.f64 x y)) x (*.f64 (/.f64 (/.f64 x (+.f64 y x)) (-.f64 x y)) (neg.f64 y))) |
(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)))))) |
(fma.f64 x (/.f64 (/.f64 x (+.f64 y x)) (-.f64 x y)) (*.f64 (neg.f64 y) (/.f64 (/.f64 x (+.f64 y x)) (-.f64 x y)))) |
(-.f64 (/.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal -1 binary64))) (/.f64 (/.f64 (*.f64 y x) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal -1 binary64)))) |
(-.f64 (/.f64 (/.f64 (/.f64 x (+.f64 y x)) (-.f64 x y)) (pow.f64 x #s(literal -1 binary64))) (/.f64 (/.f64 y (*.f64 (-.f64 x y) (+.f64 y x))) (pow.f64 x #s(literal -1 binary64)))) |
(-.f64 (/.f64 (*.f64 x x) (*.f64 (-.f64 x y) (+.f64 y x))) (/.f64 (*.f64 y x) (*.f64 (-.f64 x y) (+.f64 y x)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 y x)) (/.f64 x (-.f64 (neg.f64 x) y))) |
(-.f64 #s(literal 0 binary64) (/.f64 x (-.f64 (neg.f64 x) y))) |
(exp.f64 (log.f64 (/.f64 x (+.f64 y x)))) |
(+.f64 (*.f64 x (/.f64 (/.f64 x (+.f64 y x)) (-.f64 x y))) (*.f64 (neg.f64 y) (/.f64 (/.f64 x (+.f64 y x)) (-.f64 x y)))) |
(+.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 (/.f64 x (+.f64 y x)) (-.f64 x y)) x) (*.f64 (/.f64 (/.f64 x (+.f64 y x)) (-.f64 x y)) (neg.f64 y))) |
(+.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))) |
Compiled 11 314 to 2 256 computations (80.1% saved)
10 alts after pruning (10 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 442 | 10 | 452 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 443 | 10 | 453 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 76.5% | (/.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) x) |
| ▶ | 84.0% | (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) |
| 57.9% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x 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) | |
| 62.7% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.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) | |
| 58.5% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) x) | |
| ▶ | 73.6% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) |
| 76.5% | (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (pow.f64 (/.f64 (+.f64 y x) x) x))) | |
| 76.5% | (*.f64 (pow.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) #s(literal 1/2 binary64)) x)) | |
| ▶ | 50.8% | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 (fma.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))) |
| ▶ | 58.5% | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x))) |
Compiled 388 to 254 computations (34.5% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| 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) | |
| cost-diff | 0 | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 (fma.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))) | |
| cost-diff | 320 | (fma.f64 (fma.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)) | |
| cost-diff | 384 | (fma.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)) | |
| cost-diff | 704 | (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)) | |
| cost-diff | 0 | (/.f64 y x) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) x) | |
| cost-diff | 0 | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x))) | |
| cost-diff | 704 | (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y 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 | (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) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 220 |
| 0 | 51 | 220 |
| 1 | 68 | 212 |
| 2 | 95 | 212 |
| 3 | 177 | 212 |
| 4 | 318 | 209 |
| 5 | 543 | 209 |
| 6 | 1084 | 207 |
| 7 | 2240 | 207 |
| 8 | 4807 | 200 |
| 9 | 6450 | 200 |
| 10 | 7746 | 200 |
| 0 | 8034 | 196 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.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 |
(/.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 |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x))) |
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(/.f64 y x) |
y |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 (fma.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))) |
(fma.f64 (fma.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)) |
(fma.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)) |
(+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)) |
(/.f64 (/.f64 #s(literal 1/2 binary64) x) x) |
(/.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
y |
(/.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
(/.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 |
| Outputs |
|---|
(/.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 |
(/.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 |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (-.f64 #s(literal 1 binary64) y) x)) |
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x)) |
(/.f64 (-.f64 #s(literal 1 binary64) y) x) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(/.f64 y x) |
y |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 (fma.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))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) y #s(literal -1 binary64)) (/.f64 y x) (/.f64 #s(literal 1 binary64) x))) |
(fma.f64 (fma.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)) |
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) y #s(literal -1 binary64)) (/.f64 y x) (/.f64 #s(literal 1 binary64) x)) |
(fma.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)) |
(*.f64 (fma.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) y #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) x)) |
(+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) 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 (/.f64 #s(literal 1/2 binary64) x) x) |
(/.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
y |
(/.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
(/.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 |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (+.f64 y x) | |
| accuracy | 0.0078125 | (/.f64 x (+.f64 y x)) | |
| accuracy | 0.015625 | (/.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) x) | |
| accuracy | 15.325832619874166 | (pow.f64 (/.f64 x (+.f64 y x)) x) | |
| accuracy | 0.15625 | (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) | |
| accuracy | 1.222860398825804 | (fma.f64 (fma.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)) | |
| accuracy | 3.6654491788914068 | (fma.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)) | |
| accuracy | 27.11517926706905 | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 (fma.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))) | |
| accuracy | 0 | (/.f64 y x) | |
| accuracy | 0 | (/.f64 #s(literal 1 binary64) x) | |
| accuracy | 0.01171875 | (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x)) | |
| accuracy | 26.58230817330915 | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x))) | |
| accuracy | 0.015625 | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) | |
| accuracy | 17.04674619743926 | #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) | |
| accuracy | 0 | (neg.f64 y) | |
| accuracy | 0 | (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) | |
| accuracy | 0.015625 | (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) | |
| accuracy | 19.8628272493914 | #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)) |
| 115.0ms | 119× | 1 | valid |
| 74.0ms | 44× | 2 | valid |
| 20.0ms | 93× | 0 | valid |
Compiled 404 to 61 computations (84.9% saved)
ival-div: 67.0ms (43.5% of total)ival-log: 28.0ms (18.2% of total)adjust: 14.0ms (9.1% of total)ival-pow: 14.0ms (9.1% of total)ival-add: 10.0ms (6.5% of total)ival-mult: 8.0ms (5.2% of total)ival-sub: 7.0ms (4.5% of total)ival-exp: 4.0ms (2.6% of total)ival-neg: 1.0ms (0.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(/.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 #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 (/.f64 #s(literal 1 binary64) x) (/.f64 y x)) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x))) |
(/.f64 #s(literal 1 binary64) x) |
(/.f64 y x) |
(+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)) |
(fma.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)) |
(fma.f64 (fma.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)) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 (fma.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 (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 (/.f64 #s(literal 1/2 binary64) x) x) |
| 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 (+ (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 y) x) |
(/ y x) |
(/ 1/2 (pow x 2)) |
(/ (+ 1/2 (* 1/2 x)) (pow x 2)) |
(* 1/2 (/ y (pow x 2))) |
(/ (+ (* 1/2 y) (* x (- (* 1/2 y) 1))) (pow x 2)) |
(* 1/2 (/ (pow y 2) (pow x 2))) |
(/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) (pow x 2)) |
(/ 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) |
(/ (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 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 x) |
(/ (+ 1/2 (* 1/2 (/ 1 x))) x) |
(/ (- (* 1/2 y) 1) x) |
(/ (- (+ (* 1/2 y) (* 1/2 (/ y x))) 1) x) |
(/ (+ 1 (* y (- (* 1/2 y) 1))) x) |
(/ (+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1)))) 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))) |
x |
(* x (+ 1 (/ 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)) |
(+ (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 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 (* -1 y)) x) |
(* -1 (/ (+ 1 (* -1/2 y)) x)) |
(* -1 (/ (+ 1 (+ (* -1/2 y) (* -1/2 (/ y x)))) x)) |
(* -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 (/ (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 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))) |
(* 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 x) |
(- (* y (+ (* 1/2 (/ 1 x)) (* 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))))) 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))))) |
(+ (* -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 x)) |
(* y (- (/ 1 (* x y)) (/ 1 x))) |
(* 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 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)))) |
(/ (+ 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))) |
(/ (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))) |
(* 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 x) (/ 1 (* x y))))) |
(* -1 (* y (+ (* -1 (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 (* x y))))) |
(* (pow y 2) (+ (* -1 (/ (- (/ 1 x) (/ 1 (* x y))) y)) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))) |
(* -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))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | y | @ | inf | ((/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (* x (log (/ x (+ x y)))) (neg y) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (- (/ 1 x) (/ y x)) (/ (exp (* x (log (/ x (+ x y))))) x) (/ 1 x) (/ y x) (+ (/ (/ 1/2 x) x) (/ 1/2 x)) (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/ (exp (* x (log (/ x (+ x y))))) x) (/ (pow (/ x (+ y x)) x) x) (pow (/ x (+ y x)) x) (/ x (+ y x)) (+ y x) (/ (/ 1/2 x) x)) |
| 5.0ms | x | @ | -inf | ((/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (* x (log (/ x (+ x y)))) (neg y) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (- (/ 1 x) (/ y x)) (/ (exp (* x (log (/ x (+ x y))))) x) (/ 1 x) (/ y x) (+ (/ (/ 1/2 x) x) (/ 1/2 x)) (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/ (exp (* x (log (/ x (+ x y))))) x) (/ (pow (/ x (+ y x)) x) x) (pow (/ x (+ y x)) x) (/ x (+ y x)) (+ y x) (/ (/ 1/2 x) x)) |
| 3.0ms | y | @ | -inf | ((/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (* x (log (/ x (+ x y)))) (neg y) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (- (/ 1 x) (/ y x)) (/ (exp (* x (log (/ x (+ x y))))) x) (/ 1 x) (/ y x) (+ (/ (/ 1/2 x) x) (/ 1/2 x)) (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/ (exp (* x (log (/ x (+ x y))))) x) (/ (pow (/ x (+ y x)) x) x) (pow (/ x (+ y x)) x) (/ x (+ y x)) (+ y x) (/ (/ 1/2 x) x)) |
| 3.0ms | x | @ | inf | ((/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (* x (log (/ x (+ x y)))) (neg y) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (- (/ 1 x) (/ y x)) (/ (exp (* x (log (/ x (+ x y))))) x) (/ 1 x) (/ y x) (+ (/ (/ 1/2 x) x) (/ 1/2 x)) (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/ (exp (* x (log (/ x (+ x y))))) x) (/ (pow (/ x (+ y x)) x) x) (pow (/ x (+ y x)) x) (/ x (+ y x)) (+ y x) (/ (/ 1/2 x) x)) |
| 2.0ms | x | @ | 0 | ((/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (* x (log (/ x (+ x y)))) (neg y) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (- (/ 1 x) (/ y x)) (/ (exp (* x (log (/ x (+ x y))))) x) (/ 1 x) (/ y x) (+ (/ (/ 1/2 x) x) (/ 1/2 x)) (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/ (exp (* x (log (/ x (+ x y))))) x) (/ (pow (/ x (+ y x)) x) x) (pow (/ x (+ y x)) x) (/ x (+ y x)) (+ y x) (/ (/ 1/2 x) x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 563 | 2994 |
| 1 | 1717 | 2565 |
| 2 | 5773 | 2484 |
| 0 | 8140 | 2355 |
| 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 (+ (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 y) x) |
(/ y x) |
(/ 1/2 (pow x 2)) |
(/ (+ 1/2 (* 1/2 x)) (pow x 2)) |
(* 1/2 (/ y (pow x 2))) |
(/ (+ (* 1/2 y) (* x (- (* 1/2 y) 1))) (pow x 2)) |
(* 1/2 (/ (pow y 2) (pow x 2))) |
(/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) (pow x 2)) |
(/ 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) |
(/ (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 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 x) |
(/ (+ 1/2 (* 1/2 (/ 1 x))) x) |
(/ (- (* 1/2 y) 1) x) |
(/ (- (+ (* 1/2 y) (* 1/2 (/ y x))) 1) x) |
(/ (+ 1 (* y (- (* 1/2 y) 1))) x) |
(/ (+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1)))) 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))) |
x |
(* x (+ 1 (/ 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)) |
(+ (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 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 (* -1 y)) x) |
(* -1 (/ (+ 1 (* -1/2 y)) x)) |
(* -1 (/ (+ 1 (+ (* -1/2 y) (* -1/2 (/ y x)))) x)) |
(* -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 (/ (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 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))) |
(* 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 x) |
(- (* y (+ (* 1/2 (/ 1 x)) (* 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))))) 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))))) |
(+ (* -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 x)) |
(* y (- (/ 1 (* x y)) (/ 1 x))) |
(* 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 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)))) |
(/ (+ 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))) |
(/ (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))) |
(* 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 x) (/ 1 (* x y))))) |
(* -1 (* y (+ (* -1 (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 (* x y))))) |
(* (pow y 2) (+ (* -1 (/ (- (/ 1 x) (/ 1 (* x y))) y)) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))) |
(* -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))) |
| Outputs |
|---|
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (* x (+ (log x) (log (/ 1 y))))) x) |
(/.f64 (fma.f64 (-.f64 (log.f64 x) (log.f64 y)) 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 (fma.f64 (pow.f64 (-.f64 (log.f64 x) (log.f64 y)) #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) y)) x (-.f64 (log.f64 x) (log.f64 y))) 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 (fma.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 x) (log.f64 y)) #s(literal 3 binary64)) #s(literal 1/6 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 (-.f64 (log.f64 x) (log.f64 y)) y))) x (fma.f64 (pow.f64 (-.f64 (log.f64 x) (log.f64 y)) #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) y))) x (-.f64 (log.f64 x) (log.f64 y))) x #s(literal 1 binary64)) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* x (+ (log x) (log (/ 1 y))))) |
(fma.f64 (-.f64 (log.f64 x) (log.f64 y)) 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 (fma.f64 (pow.f64 (-.f64 (log.f64 x) (log.f64 y)) #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) y)) x (-.f64 (log.f64 x) (log.f64 y))) 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 (fma.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 x) (log.f64 y)) #s(literal 3 binary64)) #s(literal 1/6 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 (-.f64 (log.f64 x) (log.f64 y)) y))) x (fma.f64 (pow.f64 (-.f64 (log.f64 x) (log.f64 y)) #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) y))) x (-.f64 (log.f64 x) (log.f64 y))) x #s(literal 1 binary64)) |
(* x (+ (log x) (log (/ 1 y)))) |
(*.f64 (-.f64 (log.f64 x) (log.f64 y)) x) |
(* x (+ (log x) (+ (log (/ 1 y)) (* -1 (/ x y))))) |
(*.f64 (-.f64 (-.f64 (log.f64 x) (log.f64 y)) (/.f64 x y)) x) |
(* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (/ x (pow y 2))) (/ 1 y)))))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) y)) x (-.f64 (log.f64 x) (log.f64 y))) 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 (fma.f64 (fma.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) x (/.f64 #s(literal -1 binary64) y)) x (-.f64 (log.f64 x) (log.f64 y))) x) |
(/ (- 1 y) x) |
(/.f64 (-.f64 #s(literal 1 binary64) y) x) |
(/ y x) |
(/.f64 y x) |
(/ 1/2 (pow x 2)) |
(/.f64 (/.f64 #s(literal 1/2 binary64) x) x) |
(/ (+ 1/2 (* 1/2 x)) (pow x 2)) |
(/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x #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 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x (*.f64 #s(literal 1/2 binary64) y)) x) x) |
(* 1/2 (/ (pow y 2) (pow x 2))) |
(*.f64 (*.f64 y (/.f64 (/.f64 y x) x)) #s(literal 1/2 binary64)) |
(/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) (pow x 2)) |
(/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 #s(literal 1/2 binary64) y) y)) x) x) |
(/ x y) |
(/.f64 x y) |
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 x y) y)) x) |
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(+ (* -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)))))) |
(fma.f64 (/.f64 (pow.f64 (exp.f64 x) (-.f64 (log.f64 x) (log.f64 y))) x) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))) y) (/.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) x) #s(literal -1/2 binary64) (fma.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)) x) #s(literal 1/6 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/6 binary64)))) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (pow.f64 (exp.f64 x) (-.f64 (log.f64 x) (log.f64 y))) (/.f64 (neg.f64 x) y) (/.f64 (pow.f64 (exp.f64 x) (-.f64 (log.f64 x) (log.f64 y))) x))) |
(exp (* x (+ (log x) (log (/ 1 y))))) |
(pow.f64 (exp.f64 x) (-.f64 (log.f64 x) (log.f64 y))) |
(+ (exp (* x (+ (log x) (log (/ 1 y))))) (* -1 (/ (* (pow x 2) (exp (* x (+ (log x) (log (/ 1 y)))))) y))) |
(fma.f64 (neg.f64 x) (*.f64 (pow.f64 (exp.f64 x) (-.f64 (log.f64 x) (log.f64 y))) (/.f64 x y)) (pow.f64 (exp.f64 x) (-.f64 (log.f64 x) (log.f64 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)))) |
(fma.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (exp.f64 x) (-.f64 (log.f64 x) (log.f64 y))) (*.f64 y y)) (fma.f64 (neg.f64 x) (*.f64 (pow.f64 (exp.f64 x) (-.f64 (log.f64 x) (log.f64 y))) (/.f64 x y)) (pow.f64 (exp.f64 x) (-.f64 (log.f64 x) (log.f64 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 (* (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))))) |
(fma.f64 (pow.f64 (exp.f64 x) (-.f64 (log.f64 x) (log.f64 y))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))) y) (/.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) x) #s(literal -1/2 binary64) (fma.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)) x) #s(literal 1/6 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/6 binary64)))) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (neg.f64 x) (*.f64 (pow.f64 (exp.f64 x) (-.f64 (log.f64 x) (log.f64 y))) (/.f64 x y)) (pow.f64 (exp.f64 x) (-.f64 (log.f64 x) (log.f64 y))))) |
(+ (* -1 (/ (pow x 2) y)) (* x (+ (log x) (log (/ 1 y))))) |
(*.f64 (-.f64 (-.f64 (log.f64 x) (log.f64 y)) (/.f64 x y)) x) |
(+ (* -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)))))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (*.f64 (-.f64 (-.f64 (log.f64 x) (log.f64 y)) (/.f64 x y)) x)) |
(+ (* -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))))))) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (*.f64 (-.f64 (-.f64 (log.f64 x) (log.f64 y)) (/.f64 x y)) x))) |
(* -1 (/ y x)) |
(/.f64 (neg.f64 y) x) |
(* y (- (/ 1 (* x y)) (/ 1 x))) |
(-.f64 (/.f64 (/.f64 y x) y) (/.f64 y x)) |
(* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)) y) |
(* y (- (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))) (/ 1 (* x y)))) |
(*.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 (/.f64 #s(literal 1 binary64) y) x)) y) |
(* (pow y 2) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)) y) y) |
(* (pow y 2) (- (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))) (/ 1 (* x y)))) |
(*.f64 (*.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 (/.f64 #s(literal 1 binary64) y) x)) y) y) |
(* (pow y 2) (- (+ (* 1/2 (/ 1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (* x (pow y 2))))) (/ 1 (* x y)))) |
(*.f64 (-.f64 (+.f64 (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) y) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 (/.f64 #s(literal 1 binary64) y) x)) (*.f64 y y)) |
(/ (+ x (* -1 (/ (pow x 2) y))) y) |
(/.f64 (-.f64 x (*.f64 x (/.f64 x y))) y) |
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y) |
(/.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 x) x (/.f64 (pow.f64 x #s(literal 3 binary64)) y)) y) x) y) |
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y) |
(/.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 x) x (/.f64 (pow.f64 x #s(literal 3 binary64)) y)) y) (-.f64 x (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))))) y) |
(* y (+ 1 (/ x y))) |
(fma.f64 (/.f64 x y) y y) |
(/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x) |
(/.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) x) (pow.f64 (neg.f64 x) x)) x) |
(+ (* -1 (/ (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x)) |
(fma.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) x) (pow.f64 (neg.f64 x) x)) (/.f64 (neg.f64 x) y) (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) x) (pow.f64 (neg.f64 x) 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)) |
(-.f64 (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) x) (pow.f64 (neg.f64 x) x)) x) (/.f64 (fma.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))) y)) (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) x) (pow.f64 (neg.f64 x) x)) (*.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) x) (pow.f64 (neg.f64 x) x)) x)) 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)))))))) (* 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)) |
(-.f64 (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) x) (pow.f64 (neg.f64 x) x)) x) (/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) x) (pow.f64 (neg.f64 x) x)) x) (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) x) (pow.f64 (neg.f64 x) x)) (*.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64))) x) (*.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 4 binary64)) x) #s(literal 1/2 binary64))) (*.f64 y x)) (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) x) (pow.f64 (neg.f64 x) x)))) y)) y)) |
(exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) x) (pow.f64 (neg.f64 x) x)) |
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))) y))) |
(fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) x) (pow.f64 (neg.f64 x) x) (*.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) x) (pow.f64 (neg.f64 x) x)) (*.f64 (neg.f64 x) (/.f64 x 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))) |
(fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) x) (pow.f64 (neg.f64 x) x) (/.f64 (fma.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 (/.f64 #s(literal -1 binary64) y) x) (pow.f64 (neg.f64 x) x)) (*.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) x) (pow.f64 (neg.f64 x) x)) (*.f64 x x))) (neg.f64 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))) |
(fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) x) (pow.f64 (neg.f64 x) x) (/.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) x) (pow.f64 (neg.f64 x) x)) x) x (/.f64 (fma.f64 (neg.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 4 binary64)) x) #s(literal 1/2 binary64)))) (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) x) (pow.f64 (neg.f64 x) x)) y) (*.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) x) (pow.f64 (neg.f64 x) 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))) (neg.f64 y))) |
(* 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 (neg.f64 x) (/.f64 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 #s(literal -1/6 binary64) x) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)) y) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64))) (neg.f64 y))) (neg.f64 y))) |
(* -1 (* y (- (/ 1 x) (/ 1 (* x y))))) |
(fma.f64 (/.f64 #s(literal -1 binary64) x) y (/.f64 (/.f64 y x) y)) |
(* -1 (* y (+ (* -1 (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 (* x y))))) |
(*.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 (/.f64 #s(literal 1 binary64) y) x)) 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 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) y) x)) y)) (*.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 (fma.f64 (neg.f64 x) x (/.f64 (pow.f64 x #s(literal 3 binary64)) y)) y) x) y) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y)) |
(/.f64 (+.f64 (/.f64 (neg.f64 (fma.f64 x x (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) y))) y) x) y) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(fma.f64 (/.f64 x y) y y) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 197 |
| 0 | 51 | 185 |
| 1 | 213 | 185 |
| 2 | 1782 | 185 |
| 0 | 8335 | 181 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.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 #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 (/.f64 #s(literal 1 binary64) x) (/.f64 y x)) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x))) |
(/.f64 #s(literal 1 binary64) x) |
(/.f64 y x) |
(+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)) |
(fma.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)) |
(fma.f64 (fma.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)) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 (fma.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 (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 (/.f64 #s(literal 1/2 binary64) x) x) |
| Outputs |
|---|
(*.f64 (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (*.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (neg.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)))) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (exp.f64 (neg.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)))) |
(*.f64 #s(literal 1 binary64) (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x)) |
(*.f64 (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) #s(literal 1 binary64)) |
(*.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) (pow.f64 x #s(literal -1 binary64))) |
(pow.f64 (/.f64 x (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)))) #s(literal -1 binary64)) |
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(*.f64 x (pow.f64 (+.f64 y x) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (+.f64 y x) x) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 (+.f64 y x))))) |
(/.f64 (exp.f64 (log.f64 (neg.f64 x))) (exp.f64 (log.f64 (neg.f64 (+.f64 y x))))) |
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 (+.f64 y x)))) |
(/.f64 (neg.f64 x) (neg.f64 (+.f64 y x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 y x) x))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (+.f64 y x) x)))) |
(/.f64 #s(literal 1 binary64) (exp.f64 (log.f64 (/.f64 (+.f64 y x) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) x)) |
(/.f64 x (exp.f64 (log.f64 (+.f64 y x)))) |
(/.f64 x (+.f64 y x)) |
(neg.f64 (/.f64 (neg.f64 x) (+.f64 y x))) |
(neg.f64 (/.f64 x (neg.f64 (+.f64 y x)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (+.f64 y x))) (/.f64 x (neg.f64 (+.f64 y x)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 y x) x)) #s(literal -1 binary64))) |
(exp.f64 (log.f64 (/.f64 x (+.f64 y x)))) |
(*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (pow.f64 (-.f64 y x) #s(literal -1 binary64))) |
(*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (pow.f64 (-.f64 x y) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) #s(literal -1 binary64))) |
(pow.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 y y) (-.f64 y x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (-.f64 y x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 y y) (-.f64 y x)) (fma.f64 (/.f64 (*.f64 x x) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x)) (*.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 x y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 y y) (-.f64 x y)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 x x) (-.f64 x y)) (fma.f64 (/.f64 (*.f64 y y) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y)) (*.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y)))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 y x)))) (neg.f64 (neg.f64 (-.f64 y x)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 x y)))) (neg.f64 (neg.f64 (-.f64 x y)))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 y (-.f64 y x) (*.f64 x x))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 y x))) (neg.f64 (-.f64 y x))) |
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 x y))) (neg.f64 (-.f64 x y))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)))) |
(/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (-.f64 y x)) |
(/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (-.f64 x y)) |
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x y) (*.f64 y y))) |
(/.f64 (+.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 (neg.f64 (+.f64 y x)) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 y x) #s(literal -1 binary64))) |
(/.f64 (+.f64 y x) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) x y) |
(fma.f64 x #s(literal 1 binary64) y) |
(-.f64 (/.f64 (/.f64 (*.f64 y y) (-.f64 y x)) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 x x) (-.f64 y x)) #s(literal 1 binary64))) |
(-.f64 (/.f64 (/.f64 (*.f64 x x) (-.f64 x y)) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 y y) (-.f64 x y)) #s(literal 1 binary64))) |
(-.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y))) |
(+.f64 y x) |
(+.f64 x y) |
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) |
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (/.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) x)) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 2 binary64))) |
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) #s(literal 1 binary64)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) |
(pow.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) x) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64))) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))) (neg.f64 x)) |
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) (neg.f64 x)) |
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x) |
(/.f64 (/.f64 #s(literal -1/2 binary64) x) (neg.f64 (neg.f64 (neg.f64 x)))) |
(/.f64 (/.f64 #s(literal -1/2 binary64) x) (neg.f64 x)) |
(/.f64 #s(literal -1/2 binary64) (neg.f64 (*.f64 x x))) |
(/.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 x) x)) |
(/.f64 #s(literal -1/2 binary64) (*.f64 x (neg.f64 x))) |
(/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (*.f64 x #s(literal 2 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) x))) |
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x #s(literal 2 binary64)) (neg.f64 x))) |
(/.f64 (/.f64 #s(literal 1/2 binary64) x) (neg.f64 (neg.f64 x))) |
(/.f64 (/.f64 #s(literal 1/2 binary64) x) x) |
(/.f64 #s(literal 1/2 binary64) (neg.f64 (neg.f64 (*.f64 x x)))) |
(/.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 x (neg.f64 x)))) |
(/.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 (neg.f64 x) x))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(/.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 x #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 x) x) #s(literal -1/2 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (neg.f64 x)) #s(literal -1/2 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (neg.f64 x)) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) x)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (neg.f64 x)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 2 binary64)) x)) |
(neg.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -2 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) x)) #s(literal -1 binary64))) |
Compiled 21 524 to 2 959 computations (86.3% saved)
19 alts after pruning (17 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 689 | 13 | 702 |
| Fresh | 1 | 4 | 5 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 693 | 19 | 712 |
| Status | Accuracy | Program |
|---|---|---|
| 43.9% | (/.f64 (pow.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) x) x) | |
| ✓ | 84.0% | (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) |
| ▶ | 57.9% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x 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) |
| 58.5% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) x) | |
| ✓ | 73.6% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) |
| 76.5% | (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (pow.f64 (/.f64 (+.f64 y x) x) x))) | |
| 76.5% | (*.f64 (pow.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) #s(literal 1/2 binary64)) x)) | |
| ▶ | 84.0% | (*.f64 (neg.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)))) (/.f64 #s(literal -1 binary64) x)) |
| 31.4% | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 (fma.f64 (/.f64 (fma.f64 x x (*.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x))) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))) | |
| 50.6% | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) (*.f64 x x)) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))) | |
| 60.8% | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 #s(approx (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) y (/.f64 #s(literal 1 binary64) x))) | |
| 61.6% | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 #s(approx (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x (*.f64 #s(literal 1/2 binary64) y)) x) x)) y (/.f64 #s(literal 1 binary64) x))) | |
| ▶ | 65.1% | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x)) |
| 39.1% | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (-.f64 (/.f64 x y) x) (*.f64 x (/.f64 x y)))) | |
| 40.0% | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (-.f64 x (*.f64 y x)) (*.f64 x x))) | |
| ▶ | 4.2% | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.f64 y) x))) |
| 65.9% | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x))) | |
| ▶ | 60.2% | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 #s(literal 1/2 binary64) y) y)) x) x))) |
| 9.3% | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (*.f64 (*.f64 y (/.f64 (/.f64 y x) x)) #s(literal 1/2 binary64)))) |
Compiled 1 017 to 642 computations (36.9% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x 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 | #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x 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 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x 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 | 128 | (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) | |
| cost-diff | 0 | (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 #s(literal 1/2 binary64) y) y)) x) x) | |
| cost-diff | 0 | #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 #s(literal 1/2 binary64) y) y)) x) x)) | |
| cost-diff | 0 | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 #s(literal 1/2 binary64) y) y)) x) x))) | |
| cost-diff | 320 | (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 #s(literal 1/2 binary64) y) y)) | |
| cost-diff | 0 | (-.f64 x (*.f64 y x)) | |
| cost-diff | 0 | (/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x) | |
| cost-diff | 0 | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x)) | |
| cost-diff | 1024 | (/.f64 (-.f64 x (*.f64 y x)) x) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | (/.f64 (neg.f64 y) x) | |
| cost-diff | 0 | #s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.f64 y) x)) | |
| cost-diff | 0 | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.f64 y) x))) | |
| 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 | (neg.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)))) | |
| cost-diff | 448 | (*.f64 (neg.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)))) (/.f64 #s(literal -1 binary64) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 58 | 495 |
| 0 | 91 | 495 |
| 1 | 151 | 478 |
| 2 | 289 | 462 |
| 3 | 886 | 462 |
| 4 | 3840 | 458 |
| 0 | 8110 | 439 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (neg.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)))) (/.f64 #s(literal -1 binary64) x)) |
(neg.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)))) |
(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 |
(/.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
x |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.f64 y) x))) |
#s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.f64 y) x)) |
(/.f64 (neg.f64 y) x) |
(neg.f64 y) |
y |
x |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x)) |
(/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x) |
(/.f64 (-.f64 x (*.f64 y x)) x) |
(-.f64 x (*.f64 y x)) |
x |
(*.f64 y x) |
y |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 #s(literal 1/2 binary64) y) y)) x) x))) |
#s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 #s(literal 1/2 binary64) y) y)) x) x)) |
(/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 #s(literal 1/2 binary64) y) y)) x) x) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 #s(literal 1/2 binary64) y) y)) x) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 #s(literal 1/2 binary64) y) y)) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) |
#s(literal 1/2 binary64) |
y |
#s(literal -1 binary64) |
#s(literal 1 binary64) |
x |
(*.f64 (*.f64 #s(literal 1/2 binary64) y) y) |
(*.f64 #s(literal 1/2 binary64) y) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x 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 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x 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 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x 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 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) |
(fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x 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 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) |
(+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) |
#s(literal 1/6 binary64) |
(/.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
(/.f64 #s(literal 1/3 binary64) (*.f64 x x)) |
#s(literal 1/3 binary64) |
(*.f64 x x) |
(neg.f64 y) |
y |
(+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) |
#s(literal -1 binary64) |
#s(literal 1 binary64) |
| Outputs |
|---|
(*.f64 (neg.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)))) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) |
(neg.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)))) |
(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 |
(/.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
x |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.f64 y) x))) |
#s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.f64 y) x)) |
(/.f64 (neg.f64 y) x) |
(neg.f64 y) |
y |
x |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x)) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (-.f64 #s(literal 1 binary64) y) x)) |
(/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x) |
(/.f64 (-.f64 #s(literal 1 binary64) y) x) |
(/.f64 (-.f64 x (*.f64 y x)) x) |
(-.f64 #s(literal 1 binary64) y) |
(-.f64 x (*.f64 y x)) |
(fma.f64 (neg.f64 y) x x) |
x |
(*.f64 y x) |
y |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 #s(literal 1/2 binary64) y) y)) x) x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (/.f64 (fma.f64 y (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x (*.f64 #s(literal 1/2 binary64) y)) x) x) x))) |
#s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 #s(literal 1/2 binary64) y) y)) x) x)) |
#s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (/.f64 (fma.f64 y (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x (*.f64 #s(literal 1/2 binary64) y)) x) x) x)) |
(/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 #s(literal 1/2 binary64) y) y)) x) x) |
(/.f64 (/.f64 (fma.f64 y (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x (*.f64 #s(literal 1/2 binary64) y)) x) x) x) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 #s(literal 1/2 binary64) y) y)) x) |
(/.f64 (fma.f64 y (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x (*.f64 #s(literal 1/2 binary64) y)) x) x) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 #s(literal 1/2 binary64) y) y)) |
(fma.f64 y (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x (*.f64 #s(literal 1/2 binary64) y)) x) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) |
#s(literal 1/2 binary64) |
y |
#s(literal -1 binary64) |
#s(literal 1 binary64) |
x |
(*.f64 (*.f64 #s(literal 1/2 binary64) y) y) |
(*.f64 #s(literal 1/2 binary64) y) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x 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 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))) 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 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x 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 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))) 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 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x 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 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))) 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 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) |
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))) y (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) |
(fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) |
(fma.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))) y (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) |
(+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) |
(+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)) |
(+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) |
(+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) |
#s(literal 1/6 binary64) |
(/.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
(/.f64 #s(literal 1/3 binary64) (*.f64 x x)) |
#s(literal 1/3 binary64) |
(*.f64 x x) |
(neg.f64 y) |
y |
(+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) |
#s(literal -1 binary64) |
#s(literal 1 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.6272709952350246 | (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) | |
| accuracy | 1.2121040224999446 | (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) | |
| accuracy | 3.6852204349691267 | (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) | |
| accuracy | 23.71833589973335 | #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x 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 | 4.796292140347434 | (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 #s(literal 1/2 binary64) y) y)) x) | |
| accuracy | 4.9836649673784965 | (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 #s(literal 1/2 binary64) y) y)) x) x) | |
| accuracy | 5.421841973283294 | (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 #s(literal 1/2 binary64) y) y)) | |
| accuracy | 27.11517926706905 | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 #s(literal 1/2 binary64) y) y)) x) x))) | |
| accuracy | 0 | (*.f64 y x) | |
| accuracy | 0.00390625 | (/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x) | |
| accuracy | 7.779490695884555 | (/.f64 (-.f64 x (*.f64 y x)) x) | |
| accuracy | 26.58230817330915 | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x)) | |
| accuracy | 0 | (/.f64 (neg.f64 y) x) | |
| accuracy | 0 | (neg.f64 y) | |
| accuracy | 26.58230817330915 | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.f64 y) x))) | |
| accuracy | 35.538833179463374 | #s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.f64 y) x)) | |
| accuracy | 0 | (neg.f64 y) | |
| accuracy | 0 | (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) | |
| accuracy | 0.015625 | (*.f64 (neg.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)))) (/.f64 #s(literal -1 binary64) x)) | |
| accuracy | 19.8628272493914 | #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)) |
| 224.0ms | 118× | 1 | valid |
| 92.0ms | 45× | 2 | valid |
| 50.0ms | 93× | 0 | valid |
Compiled 858 to 115 computations (86.6% saved)
ival-div: 71.0ms (26.7% of total)ival-add: 53.0ms (19.9% of total)ival-mult: 53.0ms (19.9% of total)adjust: 30.0ms (11.3% of total)ival-log: 25.0ms (9.4% of total)ival-neg: 18.0ms (6.8% of total)const: 9.0ms (3.4% of total)ival-exp: 4.0ms (1.5% of total)ival-sub: 3.0ms (1.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (neg.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)))) (/.f64 #s(literal -1 binary64) x)) |
(neg.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)))) |
(exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) |
#s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.f64 y) x))) |
#s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.f64 y) x)) |
(/.f64 (neg.f64 y) x) |
(neg.f64 y) |
(/.f64 (-.f64 x (*.f64 y x)) x) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x)) |
(/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x) |
(-.f64 x (*.f64 y x)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 #s(literal 1/2 binary64) y) y)) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 #s(literal 1/2 binary64) y) y)) x) x))) |
#s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 #s(literal 1/2 binary64) y) y)) x) x)) |
(/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 #s(literal 1/2 binary64) y) y)) x) x) |
(fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x 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 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x 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 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x 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 y x) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 #s(literal 1/2 binary64) y) y)) x) |
(fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 x x)) |
| Outputs |
|---|
(/ 1 x) |
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(* -1 (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))) |
(- (/ (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))) y) (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))) |
(- (* -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 (/ (- (/ (* (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)))))) |
(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))) |
(* 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 x) (/ 1 (* x y))))) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 (* y (- (* -1 (/ x y)) (* -1 x)))) |
(* (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 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))) |
(* (pow y 2) (+ (* -1 (/ (- (/ 1 x) (/ 1 (* x y))) y)) (+ (/ 1/2 x) (* 1/2 (/ 1 (pow x 2)))))) |
(* -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))))))) |
(* (pow y 2) (+ 1/2 (+ (* -1 (/ (- 1 (/ 1 y)) y)) (* 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)))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 39.0ms | y | @ | -inf | ((* (neg (exp (* x (log (/ x (+ x y)))))) (/ -1 x)) (neg (exp (* x (log (/ x (+ x y)))))) (exp (* x (log (/ x (+ x y))))) (* x (log (/ x (+ x y)))) (/ (exp (* x (log (/ x (+ x y))))) x) (- (/ 1 x) (/ y x)) (/ (neg y) x) (neg y) (/ (- x (* y x)) x) (/ (exp (* x (log (/ x (+ x y))))) x) (/ (/ (- x (* y x)) x) x) (- x (* y x)) (+ (* (+ (* (+ (* 1/2 y) -1) y) 1) x) (* (* 1/2 y) y)) (/ (exp (* x (log (/ x (+ x y))))) x) (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/ (/ (+ (* (+ (* (+ (* 1/2 y) -1) y) 1) x) (* (* 1/2 y) y)) x) x) (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) y) 1) (* y x) (/ (+ (* (+ (* (+ (* 1/2 y) -1) y) 1) x) (* (* 1/2 y) y)) x) (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) (/ 1/3 (* x x))) |
| 8.0ms | y | @ | 0 | ((* (neg (exp (* x (log (/ x (+ x y)))))) (/ -1 x)) (neg (exp (* x (log (/ x (+ x y)))))) (exp (* x (log (/ x (+ x y))))) (* x (log (/ x (+ x y)))) (/ (exp (* x (log (/ x (+ x y))))) x) (- (/ 1 x) (/ y x)) (/ (neg y) x) (neg y) (/ (- x (* y x)) x) (/ (exp (* x (log (/ x (+ x y))))) x) (/ (/ (- x (* y x)) x) x) (- x (* y x)) (+ (* (+ (* (+ (* 1/2 y) -1) y) 1) x) (* (* 1/2 y) y)) (/ (exp (* x (log (/ x (+ x y))))) x) (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/ (/ (+ (* (+ (* (+ (* 1/2 y) -1) y) 1) x) (* (* 1/2 y) y)) x) x) (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) y) 1) (* y x) (/ (+ (* (+ (* (+ (* 1/2 y) -1) y) 1) x) (* (* 1/2 y) y)) x) (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) (/ 1/3 (* x x))) |
| 7.0ms | x | @ | 0 | ((* (neg (exp (* x (log (/ x (+ x y)))))) (/ -1 x)) (neg (exp (* x (log (/ x (+ x y)))))) (exp (* x (log (/ x (+ x y))))) (* x (log (/ x (+ x y)))) (/ (exp (* x (log (/ x (+ x y))))) x) (- (/ 1 x) (/ y x)) (/ (neg y) x) (neg y) (/ (- x (* y x)) x) (/ (exp (* x (log (/ x (+ x y))))) x) (/ (/ (- x (* y x)) x) x) (- x (* y x)) (+ (* (+ (* (+ (* 1/2 y) -1) y) 1) x) (* (* 1/2 y) y)) (/ (exp (* x (log (/ x (+ x y))))) x) (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/ (/ (+ (* (+ (* (+ (* 1/2 y) -1) y) 1) x) (* (* 1/2 y) y)) x) x) (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) y) 1) (* y x) (/ (+ (* (+ (* (+ (* 1/2 y) -1) y) 1) x) (* (* 1/2 y) y)) x) (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) (/ 1/3 (* x x))) |
| 6.0ms | x | @ | -inf | ((* (neg (exp (* x (log (/ x (+ x y)))))) (/ -1 x)) (neg (exp (* x (log (/ x (+ x y)))))) (exp (* x (log (/ x (+ x y))))) (* x (log (/ x (+ x y)))) (/ (exp (* x (log (/ x (+ x y))))) x) (- (/ 1 x) (/ y x)) (/ (neg y) x) (neg y) (/ (- x (* y x)) x) (/ (exp (* x (log (/ x (+ x y))))) x) (/ (/ (- x (* y x)) x) x) (- x (* y x)) (+ (* (+ (* (+ (* 1/2 y) -1) y) 1) x) (* (* 1/2 y) y)) (/ (exp (* x (log (/ x (+ x y))))) x) (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/ (/ (+ (* (+ (* (+ (* 1/2 y) -1) y) 1) x) (* (* 1/2 y) y)) x) x) (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) y) 1) (* y x) (/ (+ (* (+ (* (+ (* 1/2 y) -1) y) 1) x) (* (* 1/2 y) y)) x) (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) (/ 1/3 (* x x))) |
| 5.0ms | y | @ | inf | ((* (neg (exp (* x (log (/ x (+ x y)))))) (/ -1 x)) (neg (exp (* x (log (/ x (+ x y)))))) (exp (* x (log (/ x (+ x y))))) (* x (log (/ x (+ x y)))) (/ (exp (* x (log (/ x (+ x y))))) x) (- (/ 1 x) (/ y x)) (/ (neg y) x) (neg y) (/ (- x (* y x)) x) (/ (exp (* x (log (/ x (+ x y))))) x) (/ (/ (- x (* y x)) x) x) (- x (* y x)) (+ (* (+ (* (+ (* 1/2 y) -1) y) 1) x) (* (* 1/2 y) y)) (/ (exp (* x (log (/ x (+ x y))))) x) (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/ (/ (+ (* (+ (* (+ (* 1/2 y) -1) y) 1) x) (* (* 1/2 y) y)) x) x) (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) y) 1) (* y x) (/ (+ (* (+ (* (+ (* 1/2 y) -1) y) 1) x) (* (* 1/2 y) y)) x) (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) (/ 1/3 (* x x))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 708 | 4740 |
| 1 | 2256 | 4130 |
| 2 | 7904 | 4102 |
| 0 | 8132 | 3855 |
| 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 (- (* x (- (/ 1 y) (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)))) (+ (log x) (log (/ 1 y))))) 1) |
(- (* x (- (* x (- (+ (* -1 (* 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)) (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)))) (+ (log x) (log (/ 1 y))))) 1) |
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 (+ (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 y) x) |
(* -1 (/ y x)) |
(- 1 y) |
(* x (- 1 y)) |
(* 1/2 (pow y 2)) |
(+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) |
(* 1/2 (/ (pow y 2) (pow x 2))) |
(/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) (pow x 2)) |
(* -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)) |
(* x y) |
(* 1/2 (/ (pow y 2) x)) |
(/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) x) |
(* -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))) 1)) (* y (+ 1/2 (* -1/2 y)))))) (pow x 2)) |
(/ 1/3 (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 (exp (* -1 y))) |
(- (* -1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (exp (* -1 y))) |
(- (* -1 (/ (* (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)))) |
(- (* -1 (/ (* (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)) (+ (* 1/2 (/ (* (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)) |
(+ (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 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))))) |
(* x (+ 1 (* y (- (* 1/2 y) 1)))) |
(* x (+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1))))) |
(/ (+ 1 (* y (- (* 1/2 y) 1))) x) |
(/ (+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1)))) 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 (* y (- (* 1/2 y) 1))) |
(+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1)))) |
(- (* y (+ 1/2 (* -1/6 y))) 1) |
(- (+ (* y (+ 1/2 (* -1/6 y))) (/ (* y (+ 1/2 (* -1/2 y))) x)) 1) |
(- (+ (* -1/3 (/ (pow y 2) (pow x 2))) (+ (* y (+ 1/2 (* -1/6 y))) (/ (* y (+ 1/2 (* -1/2 y))) x))) 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)) |
(- (* -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 (/ (- (/ (* (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)) (exp (* -1 y))) |
(+ (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 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 (* -1 y)) x) |
(+ 1 (* -1 y)) |
(* x (+ 1 (* -1 y))) |
(* -1 (* x (+ (* -1 (+ 1 (* y (- (* 1/2 y) 1)))) (* -1/2 (/ (pow y 2) x))))) |
(* -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 (* y (- (* 1/2 y) 1)))) (* -1/2 (/ (pow y 2) x))) x)) |
(+ 1/2 (+ (* -1 (/ (- (* 1/2 y) 1/2) x)) (* -1/6 y))) |
(+ 1/2 (+ (* -1 (/ (- (+ (* 1/3 (/ y x)) (* 1/2 y)) 1/2) x)) (* -1/6 y))) |
(+ 1 (+ (* -1 (/ (* (pow y 2) (- (* 1/2 y) 1/2)) x)) (* y (- (* y (+ 1/2 (* -1/6 y))) 1)))) |
(+ 1 (+ (* -1 (/ (+ (* 1/3 (/ (pow y 3) x)) (* (pow y 2) (- (* 1/2 y) 1/2))) x)) (* y (- (* y (+ 1/2 (* -1/6 y))) 1)))) |
(- (+ (* -1 (/ (* y (- (* 1/2 y) 1/2)) x)) (* y (+ 1/2 (* -1/6 y)))) 1) |
(- (+ (* -1 (/ (+ (* 1/3 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1/2))) x)) (* y (+ 1/2 (* -1/6 y)))) 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) |
(- (* y (+ 1 (* -1 (* y (+ 1/2 (* 1/2 (/ 1 x))))))) 1) |
(- (* y (+ 1 (* y (- (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (+ 1/2 (* 1/2 (/ 1 x))))))) 1) |
(+ 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))) |
(* 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)) |
x |
(+ x (* -1 (* x y))) |
(+ x (* y (+ (* -1 x) (* y (+ 1/2 (* 1/2 x)))))) |
(+ 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)))) |
(- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1) |
(- (* y (+ 1/2 (+ (* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) (* 1/2 (/ 1 x))))) 1) |
(/ (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 (exp (* x (+ (log x) (log (/ 1 y)))))) |
(- (/ (* (pow x 2) (exp (* x (+ (log x) (log (/ 1 y)))))) y) (exp (* x (+ (log x) (log (/ 1 y)))))) |
(- (* -1 (/ (* (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)))) |
(- (* -1 (/ (* (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 (/ (* (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))))) |
(+ (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))))) |
(+ (* -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))))))) |
(* y (- (/ 1 (* x y)) (/ 1 x))) |
(* y (- (/ 1 y) 1)) |
(* -1 (* x y)) |
(* y (- (/ x y) x)) |
(* (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 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)))) |
(/ (* (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)))) |
(* -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)))) |
(/ (* (pow y 2) (+ 1/2 (* 1/2 x))) 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))) |
(* -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))))) |
(* (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 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)) |
(* -1 (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))) |
(- (/ (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))) y) (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))) |
(- (* -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 (/ (- (/ (* (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)))))) |
(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))) |
(* 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 x) (/ 1 (* x y))))) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 (* y (- (* -1 (/ x y)) (* -1 x)))) |
(* (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 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))) |
(* (pow y 2) (+ (* -1 (/ (- (/ 1 x) (/ 1 (* x y))) y)) (+ (/ 1/2 x) (* 1/2 (/ 1 (pow x 2)))))) |
(* -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))))))) |
(* (pow y 2) (+ 1/2 (+ (* -1 (/ (- 1 (/ 1 y)) y)) (* 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)))) |
| Outputs |
|---|
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (* x (+ (log x) (log (/ 1 y))))) x) |
(/.f64 (fma.f64 (-.f64 (log.f64 x) (log.f64 y)) 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 (fma.f64 (pow.f64 (-.f64 (log.f64 x) (log.f64 y)) #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) y)) x (-.f64 (log.f64 x) (log.f64 y))) 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 (fma.f64 (-.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 x) (log.f64 y)) #s(literal 3 binary64)) #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (/.f64 (-.f64 (log.f64 x) (log.f64 y)) y)) x (fma.f64 (pow.f64 (-.f64 (log.f64 x) (log.f64 y)) #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) y))) x (-.f64 (log.f64 x) (log.f64 y))) x #s(literal 1 binary64)) x) |
-1 |
#s(literal -1 binary64) |
(- (* -1 (* x (+ (log x) (log (/ 1 y))))) 1) |
(fma.f64 (neg.f64 x) (-.f64 (log.f64 x) (log.f64 y)) #s(literal -1 binary64)) |
(- (* x (- (* x (- (/ 1 y) (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)))) (+ (log x) (log (/ 1 y))))) 1) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (-.f64 (log.f64 x) (log.f64 y)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y)) x (neg.f64 (-.f64 (log.f64 x) (log.f64 y)))) x #s(literal -1 binary64)) |
(- (* x (- (* x (- (+ (* -1 (* 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)) (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)))) (+ (log x) (log (/ 1 y))))) 1) |
(fma.f64 (fma.f64 (fma.f64 (neg.f64 x) (-.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 x) (log.f64 y)) #s(literal 3 binary64)) #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (/.f64 (-.f64 (log.f64 x) (log.f64 y)) y)) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (-.f64 (log.f64 x) (log.f64 y)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y))) x (neg.f64 (-.f64 (log.f64 x) (log.f64 y)))) x #s(literal -1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* x (+ (log x) (log (/ 1 y))))) |
(fma.f64 (-.f64 (log.f64 x) (log.f64 y)) 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 (fma.f64 (pow.f64 (-.f64 (log.f64 x) (log.f64 y)) #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) y)) x (-.f64 (log.f64 x) (log.f64 y))) 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 (fma.f64 (-.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 x) (log.f64 y)) #s(literal 3 binary64)) #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (/.f64 (-.f64 (log.f64 x) (log.f64 y)) y)) x (fma.f64 (pow.f64 (-.f64 (log.f64 x) (log.f64 y)) #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) y))) x (-.f64 (log.f64 x) (log.f64 y))) x #s(literal 1 binary64)) |
(* x (+ (log x) (log (/ 1 y)))) |
(*.f64 (-.f64 (log.f64 x) (log.f64 y)) x) |
(* x (+ (log x) (+ (log (/ 1 y)) (* -1 (/ x y))))) |
(*.f64 (-.f64 (-.f64 (log.f64 x) (log.f64 y)) (/.f64 x y)) x) |
(* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (/ x (pow y 2))) (/ 1 y)))))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) y)) x (-.f64 (log.f64 x) (log.f64 y))) 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 (fma.f64 (fma.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) x (/.f64 #s(literal -1 binary64) y)) x (-.f64 (log.f64 x) (log.f64 y))) x) |
(/ (- 1 y) x) |
(/.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* -1 (/ y x)) |
(/.f64 (neg.f64 y) x) |
(- 1 y) |
(-.f64 #s(literal 1 binary64) y) |
(* x (- 1 y)) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
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(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) y) x)) (neg.f64 y)) |
(* -1 (* y (- 1 (/ 1 y)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (neg.f64 y)) |
(* -1 (* y (- (* -1 (/ x y)) (* -1 x)))) |
(*.f64 (-.f64 x (/.f64 x y)) (neg.f64 y)) |
(* (pow y 2) (+ 1/2 (+ (* -1 (/ (+ x (* -1 (/ x y))) y)) (* 1/2 x)))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 x (/.f64 x y)) y))) (*.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 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) y) x)) y)) (*.f64 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 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) y) x)) y)) (*.f64 y y)) |
(* -1 (* y (+ 1/6 (+ (* -1 (/ (+ 1/2 (* 1/2 (/ 1 x))) y)) (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))) |
(*.f64 (+.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y)) (+.f64 (/.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 (+.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y)) (+.f64 (/.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 (+.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) y)) y)) #s(literal 1/6 binary64))) (pow.f64 y #s(literal 3 binary64))) |
(* -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 (+.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y)) (/.f64 #s(literal 1/2 binary64) x)) y)) #s(literal 1/6 binary64))) (pow.f64 y #s(literal 3 binary64))) |
(* (pow y 2) (+ 1/2 (+ (* -1 (/ (- 1 (/ 1 y)) y)) (* 1/2 (/ 1 x))))) |
(*.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y)) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 y y)) |
(* (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 (+.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) #s(literal -1/6 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y)) (*.f64 y y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 58 | 423 |
| 0 | 91 | 419 |
| 1 | 413 | 398 |
| 2 | 3862 | 398 |
| 0 | 8446 | 387 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (neg.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)))) (/.f64 #s(literal -1 binary64) x)) |
(neg.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)))) |
(exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) |
#s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.f64 y) x))) |
#s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.f64 y) x)) |
(/.f64 (neg.f64 y) x) |
(neg.f64 y) |
(/.f64 (-.f64 x (*.f64 y x)) x) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x)) |
(/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x) |
(-.f64 x (*.f64 y x)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 #s(literal 1/2 binary64) y) y)) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 #s(literal 1/2 binary64) y) y)) x) x))) |
#s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 #s(literal 1/2 binary64) y) y)) x) x)) |
(/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 #s(literal 1/2 binary64) y) y)) x) x) |
(fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x 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 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x 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 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x 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 y x) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 #s(literal 1/2 binary64) y) y)) x) |
(fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 x x)) |
| Outputs |
|---|
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)))) |
(*.f64 (neg.f64 (neg.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))))) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))))) |
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)))))) |
(*.f64 #s(literal -1 binary64) (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) (neg.f64 x))) |
(*.f64 (neg.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)))) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) (pow.f64 x #s(literal -1 binary64))) |
(pow.f64 (/.f64 x (neg.f64 (neg.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)))))) #s(literal -1 binary64)) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))))) (neg.f64 x)) |
(/.f64 (*.f64 (neg.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)))) #s(literal 1 binary64)) (neg.f64 x)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)))))) (neg.f64 x)) |
(/.f64 (neg.f64 (neg.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))))) x) |
(/.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 (neg.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))))))) |
(/.f64 (neg.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)))) (neg.f64 x)) |
(neg.f64 (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) (neg.f64 x))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) (neg.f64 x))) |
(-.f64 #s(literal 0 binary64) (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) (neg.f64 x))) |
(exp.f64 (+.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)) (neg.f64 (log.f64 x)))) |
(*.f64 #s(literal -1 binary64) (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)))) |
(*.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) #s(literal 2 binary64))) (+.f64 #s(literal 0 binary64) (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))))))) |
(neg.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))))) (/.f64 (pow.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))))))) (/.f64 (pow.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)))))))) |
(-.f64 #s(literal 0 binary64) (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)))) |
(+.f64 #s(literal 0 binary64) (neg.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))))) |
(exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) |
#s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.f64 y) x))) |
#s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.f64 y) x)) |
(*.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (pow.f64 (neg.f64 y) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 y)) |
(*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) x)) |
(*.f64 #s(literal -1 binary64) (/.f64 y x)) |
(*.f64 (neg.f64 y) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 y (/.f64 #s(literal -1 binary64) x)) |
(pow.f64 (/.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (neg.f64 x) y) #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y #s(literal 1 binary64))) x) |
(/.f64 (*.f64 (neg.f64 y) #s(literal -1 binary64)) (neg.f64 x)) |
(/.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) x) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) y)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (neg.f64 x) y))) |
(/.f64 #s(literal -1 binary64) (/.f64 x y)) |
(/.f64 (neg.f64 y) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.f64 y) x) |
(/.f64 y (neg.f64 x)) |
(neg.f64 (/.f64 y x)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 x))) (/.f64 y x)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 y x)) |
(-.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 y x)) |
(-.f64 #s(literal 0 binary64) (/.f64 y x)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (neg.f64 x) y)) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) y) |
(*.f64 y #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y)))) |
(neg.f64 y) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) y)) (/.f64 (*.f64 y y) (+.f64 #s(literal 0 binary64) y))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))))) |
(-.f64 #s(literal 0 binary64) y) |
(+.f64 #s(literal 0 binary64) (neg.f64 y)) |
(*.f64 (pow.f64 (/.f64 x (-.f64 (*.f64 x x) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 y x x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 y x) (fma.f64 y x x) (*.f64 x x)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (fma.f64 (neg.f64 y) x x) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (neg.f64 (fma.f64 (neg.f64 y) x x)) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (fma.f64 (neg.f64 y) x x) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (neg.f64 y) x x) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (fma.f64 (neg.f64 y) x x)) |
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y #s(literal 1 binary64)))) |
(pow.f64 (/.f64 (/.f64 x (fma.f64 (neg.f64 y) x x)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 x (fma.f64 (neg.f64 y) x x)) #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y #s(literal 1 binary64)) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 y #s(literal 1 binary64)))) |
(/.f64 (*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal -1 binary64))) (fma.f64 y x x)) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (pow.f64 x #s(literal -1 binary64))) (fma.f64 (*.f64 y x) (fma.f64 y x x) (*.f64 x x))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 y #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 y #s(literal 1 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (neg.f64 y) x x))) (neg.f64 (neg.f64 x))) |
(/.f64 (*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 y x x) x)) |
(/.f64 (*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 (fma.f64 y x x) (neg.f64 x))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 y x) (fma.f64 y x x) (*.f64 x x)) x)) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 y x) (fma.f64 y x x) (*.f64 x x)) (neg.f64 x))) |
(/.f64 (*.f64 (fma.f64 (neg.f64 y) x x) #s(literal 1 binary64)) x) |
(/.f64 (*.f64 (fma.f64 (neg.f64 y) x x) #s(literal -1 binary64)) (neg.f64 x)) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) y)) (*.f64 x x)) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (*.f64 x (fma.f64 y x x))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (*.f64 x (fma.f64 (*.f64 y x) (fma.f64 y x x) (*.f64 x x)))) |
(/.f64 (neg.f64 (fma.f64 (neg.f64 y) x x)) (neg.f64 x)) |
(/.f64 (fma.f64 (neg.f64 y) x x) x) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (fma.f64 (neg.f64 y) x x)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (neg.f64 y) x x))) |
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(*.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))) (neg.f64 y) (+.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 (fma.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y) #s(literal 3 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) (neg.f64 y))) (pow.f64 (*.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal 1 binary64)) (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) (neg.f64 y))) (pow.f64 (*.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y) #s(literal 3 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) (*.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) (neg.f64 y))) (pow.f64 (*.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal 1 binary64))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y) #s(literal 2 binary64)) (*.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) (neg.f64 y))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) (neg.f64 y))) (pow.f64 (*.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal 1 binary64)) (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y) #s(literal 2 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) (neg.f64 y))) (pow.f64 (*.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y) #s(literal 3 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) |
(fma.f64 y (fma.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) #s(literal -1 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y))) (/.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y) #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) (*.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y) #s(literal 2 binary64)) (fma.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal 1 binary64))) (pow.f64 (fma.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal 1 binary64)) #s(literal -1 binary64))) |
(+.f64 (*.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y) #s(literal -1 binary64)) |
(+.f64 #s(literal -1 binary64) (*.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) x) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64)) |
(*.f64 #s(literal -1/3 binary64) (pow.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64))) |
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2 binary64))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) x)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) |
(pow.f64 (/.f64 x (/.f64 #s(literal 1/3 binary64) x)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (/.f64 #s(literal 1/3 binary64) x)) (neg.f64 x)) |
(/.f64 (/.f64 #s(literal 1/3 binary64) x) x) |
(/.f64 #s(literal -1/3 binary64) (*.f64 (neg.f64 x) x)) |
(/.f64 #s(literal 1/3 binary64) (neg.f64 (*.f64 (neg.f64 x) x))) |
(/.f64 #s(literal 1/3 binary64) (*.f64 x x)) |
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1/3 binary64) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 3 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 x x) #s(literal 3 binary64)))) |
(neg.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x x) #s(literal 3 binary64))) #s(literal -1 binary64))) |
Compiled 27 325 to 2 935 computations (89.3% saved)
22 alts after pruning (18 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 612 | 11 | 623 |
| Fresh | 5 | 7 | 12 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 2 | 2 |
| Total | 620 | 22 | 642 |
| Status | Accuracy | Program |
|---|---|---|
| 43.9% | (/.f64 (pow.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) x) x) | |
| ✓ | 84.0% | (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) |
| 67.4% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x 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) | |
| ▶ | 49.9% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) (/.f64 (/.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)) x) x)) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) |
| ▶ | 58.5% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) x) |
| ✓ | 73.6% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) |
| ▶ | 76.5% | (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (pow.f64 (/.f64 (+.f64 y x) x) x))) |
| 76.5% | (*.f64 (pow.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) #s(literal 1/2 binary64)) x)) | |
| 57.8% | (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))))))) (/.f64 #s(literal -1 binary64) x)) | |
| ✓ | 84.0% | (*.f64 (neg.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)))) (/.f64 #s(literal -1 binary64) x)) |
| 57.9% | (*.f64 #s(approx (neg (exp (* x (log (/ x (+ x y)))))) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) 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 #s(literal -1 binary64) x)) | |
| 58.5% | (*.f64 #s(approx (neg (exp (* x (log (/ x (+ x y)))))) (-.f64 y #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) x)) | |
| 40.0% | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (fma.f64 (neg.f64 y) x x) (*.f64 x x))) | |
| 10.9% | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 #s(approx (- x (* y x)) (*.f64 (neg.f64 y) x)) x) x)) | |
| 39.1% | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (-.f64 (/.f64 x y) x) (*.f64 x (/.f64 x y)))) | |
| ✓ | 4.2% | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.f64 y) x))) |
| 4.2% | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (/.f64 #s(literal -1 binary64) (/.f64 x y)))) | |
| 4.2% | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (*.f64 y (/.f64 #s(literal -1 binary64) x)))) | |
| ▶ | 65.9% | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x))) |
| 13.9% | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (/.f64 #s(approx (+ (* (+ (* (+ (* 1/2 y) -1) y) 1) x) (* (* 1/2 y) y)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) y) y)) x) x))) | |
| 8.4% | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (/.f64 #s(approx (+ (* (+ (* (+ (* 1/2 y) -1) y) 1) x) (* (* 1/2 y) y)) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x) x))) | |
| ▶ | 9.3% | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (*.f64 (*.f64 y (/.f64 (/.f64 y x) x)) #s(literal 1/2 binary64)))) |
Compiled 1 272 to 785 computations (38.3% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) (/.f64 (/.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)) x) x)) y #s(literal -1 binary64)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) (/.f64 (/.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)) x) x)) y #s(literal -1 binary64)) y #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) (/.f64 (/.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)) x) x)) y #s(literal -1 binary64)) y #s(literal 1 binary64))) | |
| cost-diff | 0 | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) (/.f64 (/.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)) x) x)) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) | |
| cost-diff | 0 | (*.f64 y (/.f64 (/.f64 y x) x)) | |
| cost-diff | 0 | (*.f64 (*.f64 y (/.f64 (/.f64 y x) x)) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (*.f64 (*.f64 y (/.f64 (/.f64 y x) x)) #s(literal 1/2 binary64))) | |
| cost-diff | 0 | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (*.f64 (*.f64 y (/.f64 (/.f64 y x) x)) #s(literal 1/2 binary64)))) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x) | |
| cost-diff | 0 | #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 #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))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 #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 | (pow.f64 (/.f64 (+.f64 y x) x) x) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | (*.f64 (neg.f64 x) (pow.f64 (/.f64 (+.f64 y x) x) x)) | |
| cost-diff | 128 | (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (pow.f64 (/.f64 (+.f64 y x) x) x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 65 | 599 |
| 0 | 98 | 599 |
| 1 | 160 | 581 |
| 2 | 298 | 581 |
| 3 | 862 | 573 |
| 4 | 2010 | 565 |
| 5 | 3309 | 560 |
| 6 | 5762 | 560 |
| 7 | 7705 | 560 |
| 0 | 8167 | 547 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (pow.f64 (/.f64 (+.f64 y x) x) x))) |
#s(literal -1 binary64) |
(*.f64 (neg.f64 x) (pow.f64 (/.f64 (+.f64 y x) x) x)) |
(neg.f64 x) |
x |
(pow.f64 (/.f64 (+.f64 y x) x) x) |
(/.f64 (+.f64 y x) x) |
(+.f64 y x) |
y |
(/.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 |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.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 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x)) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) |
#s(literal 1/2 binary64) |
y |
#s(literal -1 binary64) |
#s(literal 1 binary64) |
x |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (*.f64 (*.f64 y (/.f64 (/.f64 y x) x)) #s(literal 1/2 binary64)))) |
#s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (*.f64 (*.f64 y (/.f64 (/.f64 y x) x)) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 y (/.f64 (/.f64 y x) x)) #s(literal 1/2 binary64)) |
(*.f64 y (/.f64 (/.f64 y x) x)) |
y |
(/.f64 (/.f64 y x) x) |
(/.f64 y x) |
x |
#s(literal 1/2 binary64) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) (/.f64 (/.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)) x) x)) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) (/.f64 (/.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)) x) x)) y #s(literal -1 binary64)) y #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) (/.f64 (/.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)) x) x)) y #s(literal -1 binary64)) y #s(literal 1 binary64)) |
(fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) (/.f64 (/.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)) x) x)) y #s(literal -1 binary64)) |
#s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) (/.f64 (/.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)) x) x)) |
(/.f64 (/.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)) x) x) |
(/.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)) x) |
(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)) |
(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))) |
(fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) |
#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)) |
#s(literal -1/2 binary64) |
(*.f64 #s(literal -1/3 binary64) y) |
#s(literal -1/3 binary64) |
#s(literal -1 binary64) |
#s(literal 1 binary64) |
| Outputs |
|---|
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (pow.f64 (/.f64 (+.f64 y x) x) x))) |
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (+.f64 y x) x) x) x)) |
#s(literal -1 binary64) |
(*.f64 (neg.f64 x) (pow.f64 (/.f64 (+.f64 y x) x) x)) |
(*.f64 (pow.f64 (/.f64 (+.f64 y x) x) x) (neg.f64 x)) |
(neg.f64 x) |
x |
(pow.f64 (/.f64 (+.f64 y x) x) x) |
(/.f64 (+.f64 y x) x) |
(+.f64 y x) |
y |
(/.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 |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.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 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x)) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) |
#s(literal 1/2 binary64) |
y |
#s(literal -1 binary64) |
#s(literal 1 binary64) |
x |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (*.f64 (*.f64 y (/.f64 (/.f64 y x) x)) #s(literal 1/2 binary64)))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (*.f64 (*.f64 (/.f64 (/.f64 y x) x) #s(literal 1/2 binary64)) y))) |
#s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (*.f64 (*.f64 y (/.f64 (/.f64 y x) x)) #s(literal 1/2 binary64))) |
#s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (*.f64 (*.f64 (/.f64 (/.f64 y x) x) #s(literal 1/2 binary64)) y)) |
(*.f64 (*.f64 y (/.f64 (/.f64 y x) x)) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 (/.f64 (/.f64 y x) x) #s(literal 1/2 binary64)) y) |
(*.f64 y (/.f64 (/.f64 y x) x)) |
(*.f64 (/.f64 (/.f64 y x) x) y) |
y |
(/.f64 (/.f64 y x) x) |
(/.f64 y x) |
x |
#s(literal 1/2 binary64) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) (/.f64 (/.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)) x) x)) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) (/.f64 (/.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)) x) x)) y #s(literal -1 binary64)) y #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) (/.f64 (/.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)) x) x)) y #s(literal -1 binary64)) y #s(literal 1 binary64)) |
(fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) (/.f64 (/.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)) x) x)) y #s(literal -1 binary64)) |
#s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) (/.f64 (/.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)) x) x)) |
(/.f64 (/.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)) x) x) |
(/.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)) x) |
(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)) |
(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))) |
(fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) |
#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)) |
#s(literal -1/2 binary64) |
(*.f64 #s(literal -1/3 binary64) y) |
#s(literal -1/3 binary64) |
#s(literal -1 binary64) |
#s(literal 1 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 1.1964790224999446 | (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) (/.f64 (/.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)) x) x)) y #s(literal -1 binary64)) | |
| accuracy | 3.6054871238609 | (/.f64 (/.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)) x) x) | |
| accuracy | 11.702738513505967 | (/.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)) x) | |
| accuracy | 21.36212575886493 | #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) (/.f64 (/.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)) x) x)) y #s(literal -1 binary64)) y #s(literal 1 binary64))) | |
| accuracy | 0.1015625 | (/.f64 (/.f64 y x) x) | |
| accuracy | 2.941862921998828 | (*.f64 y (/.f64 (/.f64 y x) x)) | |
| accuracy | 20.220441896975267 | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (*.f64 (*.f64 y (/.f64 (/.f64 y x) x)) #s(literal 1/2 binary64)))) | |
| accuracy | 40.99231492157212 | #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (*.f64 (*.f64 y (/.f64 (/.f64 y x) x)) #s(literal 1/2 binary64))) | |
| accuracy | 0 | (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) | |
| accuracy | 1.7086199104397841 | (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x) | |
| accuracy | 8.626100063121617 | #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x)) | |
| accuracy | 20.220441896975267 | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x))) | |
| accuracy | 0 | (-.f64 #s(literal 1 binary64) y) | |
| accuracy | 0.015625 | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) x) | |
| accuracy | 18.841702763515823 | #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) | |
| accuracy | 0.01171875 | (/.f64 (+.f64 y x) x) | |
| accuracy | 0.01171875 | (*.f64 (neg.f64 x) (pow.f64 (/.f64 (+.f64 y x) x) x)) | |
| accuracy | 0.015625 | (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (pow.f64 (/.f64 (+.f64 y x) x) x))) | |
| accuracy | 11.43502838317811 | (pow.f64 (/.f64 (+.f64 y x) x) x) |
| 185.0ms | 105× | 1 | valid |
| 81.0ms | 118× | 0 | valid |
| 17.0ms | 14× | 1 | exit |
| 9.0ms | 19× | 0 | exit |
Compiled 979 to 134 computations (86.3% saved)
ival-mult: 58.0ms (22.5% of total)adjust: 44.0ms (17.1% of total)ival-log: 39.0ms (15.1% of total)const: 36.0ms (14% of total)ival-div: 30.0ms (11.6% of total)ival-add: 26.0ms (10.1% of total)ival-pow: 16.0ms (6.2% of total)ival-exp: 3.0ms (1.2% of total)ival-neg: 3.0ms (1.2% of total)ival-sub: 1.0ms (0.4% of total)exact: 1.0ms (0.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (pow.f64 (/.f64 (+.f64 y x) x) x))) |
(*.f64 (neg.f64 x) (pow.f64 (/.f64 (+.f64 y x) x) x)) |
(neg.f64 x) |
(pow.f64 (/.f64 (+.f64 y x) 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(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.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 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x)) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (*.f64 (*.f64 y (/.f64 (/.f64 y x) x)) #s(literal 1/2 binary64)))) |
#s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (*.f64 (*.f64 y (/.f64 (/.f64 y x) x)) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 y (/.f64 (/.f64 y x) x)) #s(literal 1/2 binary64)) |
(*.f64 y (/.f64 (/.f64 y x) x)) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) (/.f64 (/.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)) x) x)) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) (/.f64 (/.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)) x) x)) y #s(literal -1 binary64)) y #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) (/.f64 (/.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)) x) x)) y #s(literal -1 binary64)) y #s(literal 1 binary64)) |
(fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) (/.f64 (/.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)) x) x)) y #s(literal -1 binary64)) |
(/.f64 (+.f64 y x) x) |
(fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) |
(/.f64 (/.f64 y x) x) |
(/.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)) x) |
(/.f64 (/.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)) x) x) |
| Outputs |
|---|
(/ 1 x) |
(/ (+ 1 (* -1 (* x (+ (log y) (* -1 (log x)))))) x) |
(/ (+ 1 (* x (- (* -1 (* x (+ (* -1 (pow (+ (log y) (* -1 (log x))) 2)) (+ (* 1/2 (pow (+ (log y) (* -1 (log x))) 2)) (/ 1 y))))) (+ (log y) (* -1 (log x)))))) x) |
(/ (+ 1 (* x (- (* x (- (* x (- (* 1/2 (/ 1 (pow y 2))) (+ (* -1 (* (+ (log y) (* -1 (log x))) (+ (* -1 (pow (+ (log y) (* -1 (log x))) 2)) (+ (* 1/2 (pow (+ (log y) (* -1 (log x))) 2)) (/ 1 y))))) (+ (* -1 (* (+ (log y) (* -1 (log x))) (+ (* 1/2 (pow (+ (log y) (* -1 (log x))) 2)) (/ 1 y)))) (+ (* -1 (/ (log x) y)) (+ (* 1/6 (pow (+ (log y) (* -1 (log x))) 3)) (/ (log y) y))))))) (+ (* -1 (pow (+ (log y) (* -1 (log x))) 2)) (+ (* 1/2 (pow (+ (log y) (* -1 (log x))) 2)) (/ 1 y))))) (+ (log y) (* -1 (log x)))))) x) |
(* -1 x) |
(* x (- (* -1 (* x (+ (log y) (* -1 (log x))))) 1)) |
(* x (- (* x (+ (* -1 (* x (+ (* 1/2 (pow (+ (log y) (* -1 (log x))) 2)) (/ 1 y)))) (* -1 (+ (log y) (* -1 (log x)))))) 1)) |
(* x (- (* x (+ (* -1 (+ (log y) (* -1 (log x)))) (* x (+ (* -1 (* x (- (+ (* -1 (/ (log x) y)) (+ (* 1/6 (pow (+ (log y) (* -1 (log x))) 3)) (/ (log y) y))) (* 1/2 (/ 1 (pow y 2)))))) (* -1 (+ (* 1/2 (pow (+ (log y) (* -1 (log x))) 2)) (/ 1 y))))))) 1)) |
1 |
(+ 1 (* x (+ (log y) (* -1 (log x))))) |
(+ 1 (* x (+ (log y) (+ (* -1 (log x)) (* x (+ (* 1/2 (pow (+ (log y) (* -1 (log x))) 2)) (/ 1 y))))))) |
(+ 1 (* x (+ (log y) (+ (* -1 (log x)) (* x (+ (* 1/2 (pow (+ (log y) (* -1 (log x))) 2)) (+ (* x (- (+ (* -1 (/ (log x) y)) (+ (* 1/6 (pow (+ (log y) (* -1 (log x))) 3)) (/ (log y) y))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y)))))))) |
(/ (+ 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 (* 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))))))) |
(* 1/2 (/ (pow y 2) (pow x 2))) |
(/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) (pow x 2)) |
(/ (+ 1 (* y (- (* 1/2 y) 1))) x) |
(/ (pow y 2) (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)) |
(* -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))) 1)) (* y (+ 1/2 (* -1/2 y)))))) (pow x 2)) |
(/ y x) |
(/ (+ x y) x) |
(/ y (pow x 2)) |
(* -1/3 (/ y x)) |
(/ (+ (* -1/3 y) (* x (+ 1/2 (* -1/2 y)))) x) |
(/ (+ (* -1/3 y) (* x (+ 1/2 (+ (* -1/2 y) (* x (+ 1/2 (* -1/6 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 (* x (exp y))) |
(/ (+ (* 1/2 (/ (pow y 2) (* x (exp y)))) (/ 1 (exp y))) x) |
(/ (- (+ (* -1 (/ (+ (* -1/4 (/ (pow y 4) (exp y))) (+ (* 1/8 (/ (pow y 4) (exp y))) (* 1/3 (/ (pow y 3) (exp y))))) (pow x 2))) (/ 1 (exp y))) (* -1/2 (/ (pow y 2) (* x (exp y))))) x) |
(/ (- (+ (* -1 (/ (+ (* -1/4 (/ (pow y 4) (exp y))) (+ (* -1/6 (/ (pow y 5) (exp y))) (+ (* -1/48 (/ (pow y 6) (exp y))) (+ (* 1/2 (* (pow y 2) (+ (* -1/4 (/ (pow y 4) (exp y))) (+ (* 1/8 (/ (pow y 4) (exp y))) (* 1/3 (/ (pow y 3) (exp y))))))) (* 1/2 (/ (* (pow y 2) (+ (* 1/8 (pow y 4)) (* 1/3 (pow y 3)))) (exp y))))))) (pow x 3))) (/ 1 (exp y))) (+ (* -1/2 (/ (pow y 2) (* x (exp y)))) (+ (* -1/4 (/ (pow y 4) (* (pow x 2) (exp y)))) (+ (* 1/8 (/ (pow y 4) (* (pow x 2) (exp y)))) (* 1/3 (/ (pow y 3) (* (pow x 2) (exp y)))))))) x) |
(* -1 (* x (exp y))) |
(* x (+ (* -1 (exp y)) (* 1/2 (/ (* (pow y 2) (exp y)) x)))) |
(* x (+ (* -1 (exp y)) (+ (* -1 (/ (* (exp y) (+ (* 1/8 (pow y 4)) (* 1/3 (pow y 3)))) (pow x 2))) (* 1/2 (/ (* (pow y 2) (exp y)) x))))) |
(* x (+ (* -1 (exp y)) (+ (* -1 (/ (* (exp y) (+ (* -1/4 (pow y 4)) (+ (* -1/6 (pow y 5)) (* -1/48 (pow y 6))))) (pow x 3))) (+ (* -1 (/ (* (exp y) (+ (* 1/8 (pow y 4)) (* 1/3 (pow y 3)))) (pow x 2))) (* 1/2 (/ (* (pow y 2) (exp y)) x)))))) |
(exp y) |
(+ (exp y) (* -1/2 (/ (* (pow y 2) (exp y)) x))) |
(+ (exp y) (+ (* -1/2 (/ (* (pow y 2) (exp y)) x)) (/ (* (exp y) (+ (* 1/8 (pow y 4)) (* 1/3 (pow y 3)))) (pow x 2)))) |
(+ (exp y) (+ (* -1/2 (/ (* (pow y 2) (exp y)) x)) (+ (/ (* (exp y) (+ (* -1/4 (pow y 4)) (+ (* -1/6 (pow y 5)) (* -1/48 (pow y 6))))) (pow x 3)) (/ (* (exp y) (+ (* 1/8 (pow y 4)) (* 1/3 (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) |
(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 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 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)))) |
(- (* y (+ 1/2 (* -1/6 y))) 1) |
(- (+ (* y (+ 1/2 (* -1/6 y))) (/ (* y (+ 1/2 (* -1/2 y))) x)) 1) |
(- (+ (* -1/3 (/ (pow y 2) (pow x 2))) (+ (* y (+ 1/2 (* -1/6 y))) (/ (* y (+ 1/2 (* -1/2 y))) x))) 1) |
(+ 1 (/ y x)) |
(* x (+ 1/2 (* -1/6 y))) |
(* x (+ 1/2 (+ (* -1/2 (/ y x)) (+ (* -1/6 y) (* 1/2 (/ 1 x)))))) |
(* x (+ 1/2 (+ (* -1/2 (/ y x)) (+ (* -1/3 (/ y (pow x 2))) (+ (* -1/6 y) (* 1/2 (/ 1 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 (/ (- (* -1/2 (/ (pow y 2) (* x (exp y)))) (/ 1 (exp y))) x)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (pow y 4) (exp y))) (+ (* 1/8 (/ (pow y 4) (exp y))) (* 1/3 (/ (pow y 3) (exp y))))) x)) (* 1/2 (/ (pow y 2) (exp y)))) x)) (/ 1 (exp y))) x)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow y 2) (+ (* -1/4 (/ (pow y 4) (exp y))) (+ (* 1/8 (/ (pow y 4) (exp y))) (* 1/3 (/ (pow y 3) (exp y))))))) (+ (* -1/2 (/ (* (pow y 2) (+ (* 1/8 (pow y 4)) (* 1/3 (pow y 3)))) (exp y))) (+ (* 1/48 (/ (pow y 6) (exp y))) (+ (* 1/6 (/ (pow y 5) (exp y))) (* 1/4 (/ (pow y 4) (exp y))))))) x)) (+ (* -1/4 (/ (pow y 4) (exp y))) (+ (* 1/8 (/ (pow y 4) (exp y))) (* 1/3 (/ (pow y 3) (exp y)))))) x)) (* 1/2 (/ (pow y 2) (exp y)))) x)) (/ 1 (exp y))) x)) |
(* -1 (* x (+ (exp y) (* -1/2 (/ (* (pow y 2) (exp y)) x))))) |
(* -1 (* x (+ (exp y) (* -1 (/ (+ (* -1 (/ (* (exp y) (+ (* 1/8 (pow y 4)) (* 1/3 (pow y 3)))) x)) (* 1/2 (* (pow y 2) (exp y)))) x))))) |
(* -1 (* x (+ (exp y) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp y) (+ (* 1/48 (pow y 6)) (+ (* 1/6 (pow y 5)) (* 1/4 (pow y 4))))) x)) (* (exp y) (+ (* 1/8 (pow y 4)) (* 1/3 (pow y 3))))) x)) (* 1/2 (* (pow y 2) (exp y)))) x))))) |
(+ (exp y) (* -1 (/ (+ (* -1 (/ (* (exp y) (+ (* 1/8 (pow y 4)) (* 1/3 (pow y 3)))) x)) (* 1/2 (* (pow y 2) (exp y)))) x))) |
(+ (exp y) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp y) (+ (* 1/48 (pow y 6)) (+ (* 1/6 (pow y 5)) (* 1/4 (pow y 4))))) x)) (* (exp y) (+ (* 1/8 (pow y 4)) (* 1/3 (pow y 3))))) x)) (* 1/2 (* (pow y 2) (exp 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)) |
(+ (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 (/ (- (* y (+ 1 (* -1/2 y))) 1) x)) |
(* -1 (/ (- (+ (* -1/2 (/ (pow y 2) x)) (* y (+ 1 (* -1/2 y)))) 1) x)) |
(+ 1 (+ (* -1 (/ (* (pow y 2) (- (* 1/2 y) 1/2)) x)) (* y (- (* y (+ 1/2 (* -1/6 y))) 1)))) |
(+ 1 (+ (* -1 (/ (+ (* 1/3 (/ (pow y 3) x)) (* (pow y 2) (- (* 1/2 y) 1/2))) x)) (* y (- (* y (+ 1/2 (* -1/6 y))) 1)))) |
(- (+ (* -1 (/ (* y (- (* 1/2 y) 1/2)) x)) (* y (+ 1/2 (* -1/6 y)))) 1) |
(- (+ (* -1 (/ (+ (* 1/3 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1/2))) x)) (* y (+ 1/2 (* -1/6 y)))) 1) |
(* -1 (* x (+ (* -1 (+ 1/2 (* -1/6 y))) (* -1 (/ (+ 1/2 (* -1/2 y)) x))))) |
(* -1 (* x (+ (* -1 (+ 1/2 (* -1/6 y))) (* -1 (/ (+ 1/2 (+ (* -1/2 y) (* -1/3 (/ y x)))) x))))) |
(+ 1/2 (+ (* -1 (/ (+ (* -1 (+ 1/2 (* -1/2 y))) (* 1/3 (/ y x))) x)) (* -1/6 y))) |
(+ (* -1 (/ y x)) (/ 1 x)) |
(+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x)) |
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(+ (* -1 x) (* -1 (* x y))) |
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(/ (+ 1/2 (* 1/2 x)) x) |
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(/ 1 (* x (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y)))))))) |
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(+ (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y)))))) (/ (* (pow x 2) (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y))))))) y)) |
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(/ (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)))) |
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(* -1 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)))) |
(* 1/2 (/ (pow y 2) x)) |
(* (pow y 2) (- (* 1/2 (/ 1 x)) (/ 1 (* x y)))) |
(* (pow y 2) (- (+ (* 1/2 (/ 1 x)) (/ 1 (* x (pow y 2)))) (/ 1 (* x y)))) |
(* 1/2 (pow y 2)) |
(* (pow y 2) (- 1/2 (/ 1 y))) |
(* (pow y 2) (- (+ 1/2 (/ 1 (pow y 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)))) |
(* -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))))) |
(* (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 y 2)))) |
(* y (+ (/ 1 x) (/ 1 y))) |
(* 1/2 y) |
(* y (- 1/2 (/ 1 y))) |
(/ (* y (- (* x (- (* -1/6 x) 1/2)) 1/3)) x) |
(* y (- (+ (* 1/2 (/ x y)) (+ (- (* -1/6 x) 1/2) (* 1/2 (/ 1 y)))) (* 1/3 (/ 1 x)))) |
(/ (* y (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 2)) |
(* y (- (+ (/ 1/2 (* x y)) (+ (* 1/2 (/ 1 y)) (/ (- (* -1/6 x) 1/2) x))) (* 1/3 (/ 1 (pow x 2))))) |
(/ 1 (* x (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y)))))))) |
(+ (* -1 (/ x (* y (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))))) (/ 1 (* x (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))))) |
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(* -1 (* x (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y)))))))) |
(+ (* -1 (* x (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y)))))))) (* -1 (/ (* (pow x 3) (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))) y))) |
(+ (* -1 (* x (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y)))))))) (* -1 (/ (+ (* (pow x 3) (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))) (/ (* x (* (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y)))))) (+ (* -1/2 (pow x 3)) (* 1/2 (pow x 4))))) y)) y))) |
(+ (* -1 (* x (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y)))))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* x (* (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y)))))) (+ (* -1/2 (pow x 3)) (* 1/2 (pow x 4)))))) (/ (* x (* (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y)))))) (+ (* -1/3 (pow x 4)) (+ (* -1/6 (pow x 6)) (* 1/2 (pow x 5)))))) y)) y)) (* (pow x 3) (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y)))))))) y))) |
(exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y)))))) |
(+ (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y)))))) (/ (* (pow x 2) (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))) y)) |
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(/ (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)))) |
(* (pow y 2) (+ (* -1 (/ (- (/ 1 x) (/ 1 (* x y))) y)) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))) |
(* (pow y 2) (+ (* -1 (/ (- (/ 1 x) (/ 1 (* x y))) y)) (* 1/2 (/ 1 x)))) |
(* (pow y 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 y)) 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 (* y (- (/ 1 y) 1/2))) |
(* -1 (/ (* y (+ 1/3 (* x (+ 1/2 (* 1/6 x))))) x)) |
(* -1 (* y (+ (* -1 (/ (+ 1/2 (* 1/2 x)) y)) (+ (+ 1/2 (* 1/6 x)) (* 1/3 (/ 1 x)))))) |
(* -1 (/ (* y (+ 1/3 (* x (+ 1/2 (* 1/6 x))))) (pow x 2))) |
(* -1 (* y (+ (* -1 (/ (+ 1/2 (* 1/2 (/ 1 x))) y)) (+ (* 1/3 (/ 1 (pow x 2))) (/ (+ 1/2 (* 1/6 x)) x))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 10.0ms | y | @ | inf | ((/ -1 (* (neg x) (pow (/ (+ y x) x) x))) (* (neg x) (pow (/ (+ y x) x) x)) (neg x) (pow (/ (+ y x) x) x) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (- 1 y) (/ (exp (* x (log (/ x (+ x y))))) x) (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/ (+ (* (+ (* 1/2 y) -1) y) 1) x) (+ (* (+ (* 1/2 y) -1) y) 1) (/ (exp (* x (log (/ x (+ x y))))) x) (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (* (* y (/ (/ y x) x)) 1/2) (* y (/ (/ y x) x)) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) y) 1) (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) (/ (+ y x) x) (+ (* 1/2 y) -1) (/ (/ y x) x) (/ (+ (* (+ (* (+ (* -1/6 y) 1/2) x) (+ (* -1/2 y) 1/2)) x) (* -1/3 y)) x) (/ (/ (+ (* (+ (* (+ (* -1/6 y) 1/2) x) (+ (* -1/2 y) 1/2)) x) (* -1/3 y)) x) x)) |
| 8.0ms | x | @ | -inf | ((/ -1 (* (neg x) (pow (/ (+ y x) x) x))) (* (neg x) (pow (/ (+ y x) x) x)) (neg x) (pow (/ (+ y x) x) x) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (- 1 y) (/ (exp (* x (log (/ x (+ x y))))) x) (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/ (+ (* (+ (* 1/2 y) -1) y) 1) x) (+ (* (+ (* 1/2 y) -1) y) 1) (/ (exp (* x (log (/ x (+ x y))))) x) (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (* (* y (/ (/ y x) x)) 1/2) (* y (/ (/ y x) x)) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) y) 1) (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) (/ (+ y x) x) (+ (* 1/2 y) -1) (/ (/ y x) x) (/ (+ (* (+ (* (+ (* -1/6 y) 1/2) x) (+ (* -1/2 y) 1/2)) x) (* -1/3 y)) x) (/ (/ (+ (* (+ (* (+ (* -1/6 y) 1/2) x) (+ (* -1/2 y) 1/2)) x) (* -1/3 y)) x) x)) |
| 8.0ms | y | @ | -inf | ((/ -1 (* (neg x) (pow (/ (+ y x) x) x))) (* (neg x) (pow (/ (+ y x) x) x)) (neg x) (pow (/ (+ y x) x) x) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (- 1 y) (/ (exp (* x (log (/ x (+ x y))))) x) (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/ (+ (* (+ (* 1/2 y) -1) y) 1) x) (+ (* (+ (* 1/2 y) -1) y) 1) (/ (exp (* x (log (/ x (+ x y))))) x) (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (* (* y (/ (/ y x) x)) 1/2) (* y (/ (/ y x) x)) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) y) 1) (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) (/ (+ y x) x) (+ (* 1/2 y) -1) (/ (/ y x) x) (/ (+ (* (+ (* (+ (* -1/6 y) 1/2) x) (+ (* -1/2 y) 1/2)) x) (* -1/3 y)) x) (/ (/ (+ (* (+ (* (+ (* -1/6 y) 1/2) x) (+ (* -1/2 y) 1/2)) x) (* -1/3 y)) x) x)) |
| 6.0ms | x | @ | inf | ((/ -1 (* (neg x) (pow (/ (+ y x) x) x))) (* (neg x) (pow (/ (+ y x) x) x)) (neg x) (pow (/ (+ y x) x) x) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (- 1 y) (/ (exp (* x (log (/ x (+ x y))))) x) (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/ (+ (* (+ (* 1/2 y) -1) y) 1) x) (+ (* (+ (* 1/2 y) -1) y) 1) (/ (exp (* x (log (/ x (+ x y))))) x) (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (* (* y (/ (/ y x) x)) 1/2) (* y (/ (/ y x) x)) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) y) 1) (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) (/ (+ y x) x) (+ (* 1/2 y) -1) (/ (/ y x) x) (/ (+ (* (+ (* (+ (* -1/6 y) 1/2) x) (+ (* -1/2 y) 1/2)) x) (* -1/3 y)) x) (/ (/ (+ (* (+ (* (+ (* -1/6 y) 1/2) x) (+ (* -1/2 y) 1/2)) x) (* -1/3 y)) x) x)) |
| 6.0ms | x | @ | 0 | ((/ -1 (* (neg x) (pow (/ (+ y x) x) x))) (* (neg x) (pow (/ (+ y x) x) x)) (neg x) (pow (/ (+ y x) x) x) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (- 1 y) (/ (exp (* x (log (/ x (+ x y))))) x) (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/ (+ (* (+ (* 1/2 y) -1) y) 1) x) (+ (* (+ (* 1/2 y) -1) y) 1) (/ (exp (* x (log (/ x (+ x y))))) x) (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (* (* y (/ (/ y x) x)) 1/2) (* y (/ (/ y x) x)) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) y) 1) (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) (/ (+ y x) x) (+ (* 1/2 y) -1) (/ (/ y x) x) (/ (+ (* (+ (* (+ (* -1/6 y) 1/2) x) (+ (* -1/2 y) 1/2)) x) (* -1/3 y)) x) (/ (/ (+ (* (+ (* (+ (* -1/6 y) 1/2) x) (+ (* -1/2 y) 1/2)) x) (* -1/3 y)) x) x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1026 | 6329 |
| 1 | 3337 | 5594 |
| 0 | 8241 | 5299 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 x) |
(/ (+ 1 (* -1 (* x (+ (log y) (* -1 (log x)))))) x) |
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1 |
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(+ (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y)))))) (/ (* (pow x 2) (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y))))))) y)) |
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(/ (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))))) |
(* -1 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)))) |
(* 1/2 (/ (pow y 2) x)) |
(* (pow y 2) (- (* 1/2 (/ 1 x)) (/ 1 (* x y)))) |
(* (pow y 2) (- (+ (* 1/2 (/ 1 x)) (/ 1 (* x (pow y 2)))) (/ 1 (* x y)))) |
(* 1/2 (pow y 2)) |
(* (pow y 2) (- 1/2 (/ 1 y))) |
(* (pow y 2) (- (+ 1/2 (/ 1 (pow y 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)))) |
(* -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))))) |
(* (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 y 2)))) |
(* y (+ (/ 1 x) (/ 1 y))) |
(* 1/2 y) |
(* y (- 1/2 (/ 1 y))) |
(/ (* y (- (* x (- (* -1/6 x) 1/2)) 1/3)) x) |
(* y (- (+ (* 1/2 (/ x y)) (+ (- (* -1/6 x) 1/2) (* 1/2 (/ 1 y)))) (* 1/3 (/ 1 x)))) |
(/ (* y (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 2)) |
(* y (- (+ (/ 1/2 (* x y)) (+ (* 1/2 (/ 1 y)) (/ (- (* -1/6 x) 1/2) x))) (* 1/3 (/ 1 (pow x 2))))) |
(/ 1 (* x (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y)))))))) |
(+ (* -1 (/ x (* y (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))))) (/ 1 (* x (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))))) |
(+ (* -1 (/ (- (+ (* -1 (/ (pow x 3) (* y (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))))) (+ (* -1/2 (/ (pow x 2) (* y (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))))) (* 1/2 (/ (pow x 3) (* y (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))))))) (* -1 (/ x (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))))) y)) (/ 1 (* x (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))))) |
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(* -1 (* x (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y)))))))) |
(+ (* -1 (* x (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y)))))))) (* -1 (/ (* (pow x 3) (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))) y))) |
(+ (* -1 (* x (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y)))))))) (* -1 (/ (+ (* (pow x 3) (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))) (/ (* x (* (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y)))))) (+ (* -1/2 (pow x 3)) (* 1/2 (pow x 4))))) y)) y))) |
(+ (* -1 (* x (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y)))))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* x (* (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y)))))) (+ (* -1/2 (pow x 3)) (* 1/2 (pow x 4)))))) (/ (* x (* (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y)))))) (+ (* -1/3 (pow x 4)) (+ (* -1/6 (pow x 6)) (* 1/2 (pow x 5)))))) y)) y)) (* (pow x 3) (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y)))))))) y))) |
(exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y)))))) |
(+ (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y)))))) (/ (* (pow x 2) (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))) y)) |
(+ (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y)))))) (* -1 (/ (+ (* -1 (* (pow x 2) (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y)))))))) (* -1 (/ (* (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y)))))) (+ (* -1/2 (pow x 3)) (* 1/2 (pow x 4)))) y))) y))) |
(+ (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y)))))) (* -1 (/ (+ (* -1 (* (pow x 2) (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y)))))))) (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y)))))) (+ (* -1/3 (pow x 4)) (+ (* -1/6 (pow x 6)) (* 1/2 (pow x 5))))) y)) (* (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y)))))) (+ (* -1/2 (pow x 3)) (* 1/2 (pow x 4))))) 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)) |
(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)))) |
(* (pow y 2) (+ (* -1 (/ (- (/ 1 x) (/ 1 (* x y))) y)) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))) |
(* (pow y 2) (+ (* -1 (/ (- (/ 1 x) (/ 1 (* x y))) y)) (* 1/2 (/ 1 x)))) |
(* (pow y 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 y)) 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 (* y (- (/ 1 y) 1/2))) |
(* -1 (/ (* y (+ 1/3 (* x (+ 1/2 (* 1/6 x))))) x)) |
(* -1 (* y (+ (* -1 (/ (+ 1/2 (* 1/2 x)) y)) (+ (+ 1/2 (* 1/6 x)) (* 1/3 (/ 1 x)))))) |
(* -1 (/ (* y (+ 1/3 (* x (+ 1/2 (* 1/6 x))))) (pow x 2))) |
(* -1 (* y (+ (* -1 (/ (+ 1/2 (* 1/2 (/ 1 x))) y)) (+ (* 1/3 (/ 1 (pow x 2))) (/ (+ 1/2 (* 1/6 x)) x))))) |
| Outputs |
|---|
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (* -1 (* x (+ (log y) (* -1 (log x)))))) x) |
(/.f64 (fma.f64 (neg.f64 x) (-.f64 (log.f64 y) (log.f64 x)) #s(literal 1 binary64)) x) |
(/ (+ 1 (* x (- (* -1 (* x (+ (* -1 (pow (+ (log y) (* -1 (log x))) 2)) (+ (* 1/2 (pow (+ (log y) (* -1 (log x))) 2)) (/ 1 y))))) (+ (log y) (* -1 (log x)))))) x) |
(/.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 y) (log.f64 x)) #s(literal 2 binary64)) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) y)) x (-.f64 (log.f64 y) (log.f64 x)))) x #s(literal 1 binary64)) x) |
(/ (+ 1 (* x (- (* x (- (* x (- (* 1/2 (/ 1 (pow y 2))) (+ (* -1 (* (+ (log y) (* -1 (log x))) (+ (* -1 (pow (+ (log y) (* -1 (log x))) 2)) (+ (* 1/2 (pow (+ (log y) (* -1 (log x))) 2)) (/ 1 y))))) (+ (* -1 (* (+ (log y) (* -1 (log x))) (+ (* 1/2 (pow (+ (log y) (* -1 (log x))) 2)) (/ 1 y)))) (+ (* -1 (/ (log x) y)) (+ (* 1/6 (pow (+ (log y) (* -1 (log x))) 3)) (/ (log y) y))))))) (+ (* -1 (pow (+ (log y) (* -1 (log x))) 2)) (+ (* 1/2 (pow (+ (log y) (* -1 (log x))) 2)) (/ 1 y))))) (+ (log y) (* -1 (log x)))))) x) |
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(* -1 x) |
(neg.f64 x) |
(* x (- (* -1 (* x (+ (log y) (* -1 (log x))))) 1)) |
(*.f64 (fma.f64 (neg.f64 x) (-.f64 (log.f64 y) (log.f64 x)) #s(literal -1 binary64)) x) |
(* x (- (* x (+ (* -1 (* x (+ (* 1/2 (pow (+ (log y) (* -1 (log x))) 2)) (/ 1 y)))) (* -1 (+ (log y) (* -1 (log x)))))) 1)) |
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(+ (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y)))))) (* -1 (/ (+ (* -1 (* (pow x 2) (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y)))))))) (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y)))))) (+ (* -1/3 (pow x 4)) (+ (* -1/6 (pow x 6)) (* 1/2 (pow x 5))))) y)) (* (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y)))))) (+ (* -1/2 (pow x 3)) (* 1/2 (pow x 4))))) y))) y))) |
(-.f64 (pow.f64 (exp.f64 x) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (/.f64 #s(literal -1 binary64) y)))) (/.f64 (neg.f64 (fma.f64 (pow.f64 (exp.f64 x) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (/.f64 #s(literal -1 binary64) y)))) (*.f64 x x) (/.f64 (fma.f64 (pow.f64 (exp.f64 x) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (/.f64 #s(literal -1 binary64) y)))) (neg.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/3 binary64) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/6 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/2 binary64)))) y)) (*.f64 (pow.f64 (exp.f64 x) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (/.f64 #s(literal -1 binary64) y)))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/2 binary64))))) y))) y)) |
(/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x) |
(/.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) y)))) 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 (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) y)))) y) (/.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) 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)) |
(-.f64 (/.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) y)))) x) (/.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) y)))) (neg.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))) x))) (*.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) y)))) x)) 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)))))))) (* 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)) |
(-.f64 (/.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) y)))) x) (/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) y)))) x) (/.f64 (fma.f64 (/.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) y)))) 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 (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) y)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64)))) x))) y)) y)) |
(exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) |
(pow.f64 (exp.f64 x) (+.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) y)))) |
(+ (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 (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) y)))) y) (pow.f64 (exp.f64 x) (+.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) 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))) |
(-.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) y)))) (/.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) y)))) (*.f64 x x) (/.f64 (*.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) y)))) (*.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 (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) y)))) (/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) y)))) (*.f64 x x)) (/.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) y)))) (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 (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) y)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64)))))) y)) y)) |
(* -1 (* y (- 1 (/ 1 y)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (neg.f64 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 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) y)) (*.f64 y y)) |
(* (pow y 2) (+ (* -1 (/ (- (/ 1 x) (/ 1 (* x y))) y)) (* 1/2 (/ 1 x)))) |
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) y)) (*.f64 y y)) |
(* (pow y 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 y)) y)))) |
(*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y)) (*.f64 y 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 (+.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y)) (+.f64 (/.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 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) y)) y)) #s(literal 1/6 binary64))) |
(* -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 (+.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y)) #s(literal 1/2 binary64)) y)) #s(literal 1/6 binary64))) (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 (+.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 x x)) (/.f64 #s(literal -1/2 binary64) x)) #s(literal -1/6 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y)) (*.f64 y y)) |
(* -1 (* y (- (/ 1 y) 1/2))) |
(neg.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1 binary64))) |
(* -1 (/ (* y (+ 1/3 (* x (+ 1/2 (* 1/6 x))))) x)) |
(*.f64 (neg.f64 y) (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) x)) |
(* -1 (* y (+ (* -1 (/ (+ 1/2 (* 1/2 x)) y)) (+ (+ 1/2 (* 1/6 x)) (* 1/3 (/ 1 x)))))) |
(*.f64 (-.f64 (+.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (/.f64 #s(literal 1/3 binary64) x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) y)) (neg.f64 y)) |
(* -1 (/ (* y (+ 1/3 (* x (+ 1/2 (* 1/6 x))))) (pow x 2))) |
(/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) y) (*.f64 (neg.f64 x) x)) |
(* -1 (* y (+ (* -1 (/ (+ 1/2 (* 1/2 (/ 1 x))) y)) (+ (* 1/3 (/ 1 (pow x 2))) (/ (+ 1/2 (* 1/6 x)) x))))) |
(*.f64 (-.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y)) (neg.f64 y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 65 | 495 |
| 0 | 98 | 494 |
| 1 | 462 | 478 |
| 2 | 4225 | 468 |
| 0 | 8370 | 452 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (pow.f64 (/.f64 (+.f64 y x) x) x))) |
(*.f64 (neg.f64 x) (pow.f64 (/.f64 (+.f64 y x) x) x)) |
(neg.f64 x) |
(pow.f64 (/.f64 (+.f64 y x) 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(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.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 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x)) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (*.f64 (*.f64 y (/.f64 (/.f64 y x) x)) #s(literal 1/2 binary64)))) |
#s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (*.f64 (*.f64 y (/.f64 (/.f64 y x) x)) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 y (/.f64 (/.f64 y x) x)) #s(literal 1/2 binary64)) |
(*.f64 y (/.f64 (/.f64 y x) x)) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) (/.f64 (/.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)) x) x)) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) (/.f64 (/.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)) x) x)) y #s(literal -1 binary64)) y #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) (/.f64 (/.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)) x) x)) y #s(literal -1 binary64)) y #s(literal 1 binary64)) |
(fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) (/.f64 (/.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)) x) x)) y #s(literal -1 binary64)) |
(/.f64 (+.f64 y x) x) |
(fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) |
(/.f64 (/.f64 y x) x) |
(/.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)) x) |
(/.f64 (/.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)) x) x) |
| Outputs |
|---|
(*.f64 (pow.f64 (*.f64 x (pow.f64 (pow.f64 (/.f64 (+.f64 y x) x) x) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (+.f64 y x) x) (neg.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(*.f64 (pow.f64 (neg.f64 (pow.f64 (/.f64 (+.f64 y x) x) x)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (*.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (+.f64 y x) x) (neg.f64 (*.f64 #s(literal 1/2 binary64) x))) (/.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (pow.f64 (/.f64 (+.f64 y x) x) x) #s(literal 1/2 binary64)))) |
(*.f64 (/.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) (neg.f64 x)) #s(literal -1 binary64)) |
(*.f64 (neg.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (/.f64 x (+.f64 y x)) x)) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 (/.f64 (pow.f64 (/.f64 (+.f64 y x) x) x) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 (neg.f64 (pow.f64 (/.f64 (+.f64 y x) x) x)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) x)) |
(*.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) (neg.f64 x))) |
(pow.f64 (/.f64 (pow.f64 (/.f64 (+.f64 y x) x) x) (pow.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (pow.f64 (/.f64 (+.f64 y x) x) x) x) #s(literal -1 binary64)) |
(/.f64 (/.f64 (neg.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)) #s(literal -1 binary64)) x) |
(/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (+.f64 y x) x) x)) (neg.f64 x)) |
(/.f64 (*.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) #s(literal -1 binary64)) (neg.f64 x)) |
(/.f64 (*.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) #s(literal 1 binary64)) x) |
(/.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (pow.f64 (/.f64 (+.f64 y x) x) x) #s(literal 1/2 binary64))) (pow.f64 (pow.f64 (/.f64 (+.f64 y x) x) x) #s(literal 1/2 binary64))) |
(/.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 x #s(literal -1 binary64)) (pow.f64 (/.f64 (+.f64 y x) x) x)) |
(/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (pow.f64 (/.f64 (+.f64 y x) x) x))) |
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(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (+.f64 y x) x) x) x)) |
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(/.f64 (neg.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))) (neg.f64 x)) |
(/.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)) x) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (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))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (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 #s(literal -1 binary64) (neg.f64 (/.f64 x (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))))) |
(neg.f64 (/.f64 (neg.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))) x)) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (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)))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 x (neg.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)))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (*.f64 (/.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)) x) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (/.f64 (neg.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))) x) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (/.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)) x) (pow.f64 x #s(literal -1 binary64))) |
(*.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)) (pow.f64 x #s(literal -2 binary64))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (/.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)) x)) |
(*.f64 #s(literal 1 binary64) (/.f64 (/.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)) x) x)) |
(pow.f64 (/.f64 (*.f64 x x) (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))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 (/.f64 x (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))) x) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 x (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))) x) #s(literal -1 binary64)) |
(/.f64 (/.f64 (/.f64 (neg.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))) x) #s(literal -1 binary64)) x) |
(/.f64 (*.f64 (/.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)) x) #s(literal -1 binary64)) (neg.f64 x)) |
(/.f64 (*.f64 (/.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)) x) #s(literal 1 binary64)) x) |
(/.f64 (*.f64 (neg.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))) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x)) |
(/.f64 (*.f64 (neg.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))) #s(literal -1 binary64)) (*.f64 x x)) |
(/.f64 (*.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)) #s(literal 1 binary64)) (*.f64 x x)) |
(/.f64 (*.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)) #s(literal -1 binary64)) (*.f64 (neg.f64 x) x)) |
(/.f64 (-.f64 (pow.f64 (*.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) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal -1/3 binary64) y) #s(literal 2 binary64))) (*.f64 (*.f64 x x) (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 (fma.f64 #s(literal -1/27 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.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) #s(literal 3 binary64))) (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (-.f64 (*.f64 #s(literal -1/3 binary64) y) (*.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)) (pow.f64 (*.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) #s(literal 2 binary64))))) |
(/.f64 (/.f64 (neg.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))) x) (neg.f64 x)) |
(/.f64 (neg.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 (neg.f64 x) x)) |
(/.f64 (/.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)) x) (neg.f64 (neg.f64 x))) |
(/.f64 (/.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)) x) x) |
(/.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)) |
(/.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 x (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 #s(literal 1 binary64) (/.f64 (*.f64 x x) (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 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 x (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))) x) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (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))) x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 x (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))) x))) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 x (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))) (neg.f64 x))) |
(neg.f64 (/.f64 (/.f64 (neg.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))) x) x)) |
(neg.f64 (/.f64 (/.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)) x) (neg.f64 x))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 x (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))) x)) #s(literal -1 binary64))) |
Compiled 29 560 to 3 277 computations (88.9% saved)
27 alts after pruning (20 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 611 | 14 | 625 |
| Fresh | 7 | 6 | 13 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 4 | 4 |
| Total | 620 | 27 | 647 |
| Status | Accuracy | Program |
|---|---|---|
| 43.9% | (/.f64 (pow.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) x) x) | |
| ✓ | 84.0% | (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) |
| 67.4% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x 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) | |
| 49.6% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) (/.f64 #s(approx (/ (+ (* (+ (* (+ (* -1/6 y) 1/2) x) (+ (* -1/2 y) 1/2)) x) (* -1/3 y)) x) (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/3 binary64)) y) x)) x)) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) | |
| 37.6% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) #s(approx (/ (/ (+ (* (+ (* (+ (* -1/6 y) 1/2) x) (+ (* -1/2 y) 1/2)) x) (* -1/3 y)) x) x) (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) y) (*.f64 (neg.f64 x) x)))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) | |
| ✓ | 58.5% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) x) |
| ✓ | 73.6% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) |
| 36.1% | (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))) (pow.f64 (/.f64 (+.f64 y x) x) x))) | |
| 43.9% | (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (pow.f64 #s(approx (/ (+ y x) x) (/.f64 y x)) x))) | |
| 64.3% | (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) #s(approx (pow (/ (+ y x) x) x) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))) | |
| 59.0% | (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) #s(approx (pow (/ (+ y x) x) x) (fma.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1/2 binary64) x))) y #s(literal 1 binary64)) y #s(literal 1 binary64))))) | |
| 63.9% | (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) #s(approx (pow (/ (+ y x) x) x) (+.f64 #s(literal 1 binary64) y)))) | |
| 59.0% | (/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (fma.f64 (fma.f64 (*.f64 (neg.f64 x) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)) y (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))) y (neg.f64 x)) y (neg.f64 x)))) | |
| 64.3% | (/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (fma.f64 (neg.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y) x x)) y (neg.f64 x)))) | |
| 63.9% | (/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (neg.f64 (fma.f64 y x x)))) | |
| ✓ | 84.0% | (*.f64 (neg.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)))) (/.f64 #s(literal -1 binary64) x)) |
| 49.9% | (*.f64 (neg.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) (/.f64 (/.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)) x) x)) y #s(literal -1 binary64)) y #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) x)) | |
| 40.0% | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (fma.f64 (neg.f64 y) x x) (*.f64 x x))) | |
| 10.9% | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 #s(approx (- x (* y x)) (*.f64 (neg.f64 y) x)) x) x)) | |
| ✓ | 4.2% | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.f64 y) x))) |
| 4.2% | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (*.f64 y (/.f64 #s(literal -1 binary64) x)))) | |
| ✓ | 65.9% | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x))) |
| 13.9% | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (/.f64 #s(approx (+ (* (+ (* (+ (* 1/2 y) -1) y) 1) x) (* (* 1/2 y) y)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) y) y)) x) x))) | |
| 11.6% | #s(approx (/ (exp (* x (log (/ x (+ x y))))) 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) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x))) | |
| 8.9% | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (*.f64 (/.f64 (*.f64 y y) (*.f64 x x)) #s(literal 1/2 binary64)))) | |
| ✓ | 9.3% | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (*.f64 (*.f64 y (/.f64 (/.f64 y x) x)) #s(literal 1/2 binary64)))) |
| 84.0% | #s(approx (/ -1 (* (neg x) (pow (/ (+ y x) x) x))) (/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 y) x))) |
Compiled 2 468 to 909 computations (63.2% saved)
| Inputs |
|---|
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.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))))) x) #s(approx (- (/ 1 x) (/ y x)) (*.f64 y (/.f64 #s(literal -1 binary64) x)))) |
(*.f64 #s(approx (neg (exp (* x (log (/ x (+ x y)))))) (-.f64 y #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (neg.f64 (fma.f64 y x x)))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) 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) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x))) |
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) #s(approx (pow (/ (+ y x) x) x) (+.f64 #s(literal 1 binary64) y)))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (/.f64 #s(literal -1 binary64) (/.f64 x y)))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (-.f64 x (*.f64 y x)) (*.f64 x x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (fma.f64 (neg.f64 y) x x) (*.f64 x x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (*.f64 (/.f64 (*.f64 y y) (*.f64 x x)) #s(literal 1/2 binary64)))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 #s(approx (- x (* y x)) (*.f64 (neg.f64 y) x)) x) x)) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x 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))))) x) (/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x)) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (*.f64 (*.f64 y (/.f64 (/.f64 y x) x)) #s(literal 1/2 binary64)))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (/.f64 #s(approx (+ (* (+ (* (+ (* 1/2 y) -1) y) 1) x) (* (* 1/2 y) y)) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x) x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 #s(approx (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) y (/.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.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))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (/.f64 #s(approx (+ (* (+ (* (+ (* 1/2 y) -1) y) 1) x) (* (* 1/2 y) y)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) y) y)) x) x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (-.f64 (/.f64 x y) x) (*.f64 x (/.f64 x y)))) |
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) #s(approx (pow (/ (+ y x) x) x) (fma.f64 (fma.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(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (fma.f64 (neg.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y) x x)) y (neg.f64 x)))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 #s(literal 1/2 binary64) y) y)) x) x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 #s(approx (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x (*.f64 #s(literal 1/2 binary64) y)) x) x)) y (/.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) (*.f64 x 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 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) #s(approx (/ (/ (+ (* (+ (* (+ (* -1/6 y) 1/2) x) (+ (* -1/2 y) 1/2)) x) (* -1/3 y)) x) x) (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) y) (*.f64 (neg.f64 x) x)))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) (/.f64 #s(approx (/ (+ (* (+ (* (+ (* -1/6 y) 1/2) x) (+ (* -1/2 y) 1/2)) x) (* -1/3 y)) x) (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/3 binary64)) y) x)) x)) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 (fma.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 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) (/.f64 (/.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)) x) x)) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 (fma.f64 (/.f64 (fma.f64 x x (*.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x 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 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x 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 (neg (exp (* x (log (/ x (+ x y)))))) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) 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 #s(literal -1 binary64) x)) |
(*.f64 (neg.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) (/.f64 (/.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)) x) x)) y #s(literal -1 binary64)) y #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) #s(approx (pow (/ (+ y x) x) x) (fma.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1/2 binary64) x))) y #s(literal 1 binary64)) y #s(literal 1 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (fma.f64 (fma.f64 (*.f64 (neg.f64 x) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)) y (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))) y (neg.f64 x)) y (neg.f64 x)))) |
(/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) |
#s(approx (/ -1 (* (neg x) (pow (/ (+ y x) x) x))) (/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 y) x))) |
(*.f64 (neg.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)))) (/.f64 #s(literal -1 binary64) 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 #s(literal -1 binary64) (*.f64 (neg.f64 x) (pow.f64 #s(approx (/ (+ y x) x) (/.f64 y x)) x))) |
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (pow.f64 (/.f64 (+.f64 y x) x) x))) |
(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))) (pow.f64 (/.f64 (+.f64 y x) x) x))) |
(*.f64 (pow.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) #s(literal 1/2 binary64)) x)) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))))))) (/.f64 #s(literal -1 binary64) x)) |
| Outputs |
|---|
(*.f64 (neg.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)))) (/.f64 #s(literal -1 binary64) 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:
| 39.0ms | y |
| 35.0ms | x |
| 12.0ms | (/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 3 | x |
| 87.5% | 3 | y |
| 93.0% | 3 | (/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) |
Compiled 13 to 12 computations (7.7% saved)
| Inputs |
|---|
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.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))))) x) #s(approx (- (/ 1 x) (/ y x)) (*.f64 y (/.f64 #s(literal -1 binary64) x)))) |
(*.f64 #s(approx (neg (exp (* x (log (/ x (+ x y)))))) (-.f64 y #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (neg.f64 (fma.f64 y x x)))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) 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) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x))) |
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) #s(approx (pow (/ (+ y x) x) x) (+.f64 #s(literal 1 binary64) y)))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (/.f64 #s(literal -1 binary64) (/.f64 x y)))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (-.f64 x (*.f64 y x)) (*.f64 x x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (fma.f64 (neg.f64 y) x x) (*.f64 x x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (*.f64 (/.f64 (*.f64 y y) (*.f64 x x)) #s(literal 1/2 binary64)))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 #s(approx (- x (* y x)) (*.f64 (neg.f64 y) x)) x) x)) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x 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))))) x) (/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x)) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (*.f64 (*.f64 y (/.f64 (/.f64 y x) x)) #s(literal 1/2 binary64)))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (/.f64 #s(approx (+ (* (+ (* (+ (* 1/2 y) -1) y) 1) x) (* (* 1/2 y) y)) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x) x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 #s(approx (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) y (/.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.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))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (/.f64 #s(approx (+ (* (+ (* (+ (* 1/2 y) -1) y) 1) x) (* (* 1/2 y) y)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) y) y)) x) x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (-.f64 (/.f64 x y) x) (*.f64 x (/.f64 x y)))) |
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) #s(approx (pow (/ (+ y x) x) x) (fma.f64 (fma.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(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (fma.f64 (neg.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y) x x)) y (neg.f64 x)))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 #s(literal 1/2 binary64) y) y)) x) x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 #s(approx (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x (*.f64 #s(literal 1/2 binary64) y)) x) x)) y (/.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) (*.f64 x 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 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) #s(approx (/ (/ (+ (* (+ (* (+ (* -1/6 y) 1/2) x) (+ (* -1/2 y) 1/2)) x) (* -1/3 y)) x) x) (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) y) (*.f64 (neg.f64 x) x)))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) (/.f64 #s(approx (/ (+ (* (+ (* (+ (* -1/6 y) 1/2) x) (+ (* -1/2 y) 1/2)) x) (* -1/3 y)) x) (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/3 binary64)) y) x)) x)) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 (fma.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 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) (/.f64 (/.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)) x) x)) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 (fma.f64 (/.f64 (fma.f64 x x (*.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x 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 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x 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 (neg (exp (* x (log (/ x (+ x y)))))) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) 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 #s(literal -1 binary64) x)) |
(*.f64 (neg.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) (/.f64 (/.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)) x) x)) y #s(literal -1 binary64)) y #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) #s(approx (pow (/ (+ y x) x) x) (fma.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1/2 binary64) x))) y #s(literal 1 binary64)) y #s(literal 1 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (fma.f64 (fma.f64 (*.f64 (neg.f64 x) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)) y (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))) y (neg.f64 x)) y (neg.f64 x)))) |
(/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) |
#s(approx (/ -1 (* (neg x) (pow (/ (+ y x) x) x))) (/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 y) 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) |
1 calls:
| 11.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 3 | x |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.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))))) x) #s(approx (- (/ 1 x) (/ y x)) (*.f64 y (/.f64 #s(literal -1 binary64) x)))) |
(*.f64 #s(approx (neg (exp (* x (log (/ x (+ x y)))))) (-.f64 y #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (neg.f64 (fma.f64 y x x)))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) 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) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x))) |
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) #s(approx (pow (/ (+ y x) x) x) (+.f64 #s(literal 1 binary64) y)))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (/.f64 #s(literal -1 binary64) (/.f64 x y)))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (-.f64 x (*.f64 y x)) (*.f64 x x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (fma.f64 (neg.f64 y) x x) (*.f64 x x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (*.f64 (/.f64 (*.f64 y y) (*.f64 x x)) #s(literal 1/2 binary64)))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 #s(approx (- x (* y x)) (*.f64 (neg.f64 y) x)) x) x)) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x 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))))) x) (/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x)) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (*.f64 (*.f64 y (/.f64 (/.f64 y x) x)) #s(literal 1/2 binary64)))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (/.f64 #s(approx (+ (* (+ (* (+ (* 1/2 y) -1) y) 1) x) (* (* 1/2 y) y)) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x) x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 #s(approx (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) y (/.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.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))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (/.f64 #s(approx (+ (* (+ (* (+ (* 1/2 y) -1) y) 1) x) (* (* 1/2 y) y)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) y) y)) x) x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (-.f64 (/.f64 x y) x) (*.f64 x (/.f64 x y)))) |
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) #s(approx (pow (/ (+ y x) x) x) (fma.f64 (fma.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(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (fma.f64 (neg.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y) x x)) y (neg.f64 x)))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 #s(literal 1/2 binary64) y) y)) x) x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 #s(approx (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x (*.f64 #s(literal 1/2 binary64) y)) x) x)) y (/.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) (*.f64 x 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 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) #s(approx (/ (/ (+ (* (+ (* (+ (* -1/6 y) 1/2) x) (+ (* -1/2 y) 1/2)) x) (* -1/3 y)) x) x) (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) y) (*.f64 (neg.f64 x) x)))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) (/.f64 #s(approx (/ (+ (* (+ (* (+ (* -1/6 y) 1/2) x) (+ (* -1/2 y) 1/2)) x) (* -1/3 y)) x) (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/3 binary64)) y) x)) x)) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 (fma.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 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) (/.f64 (/.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)) x) x)) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 (fma.f64 (/.f64 (fma.f64 x x (*.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x 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 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x 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 (neg (exp (* x (log (/ x (+ x y)))))) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) 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 #s(literal -1 binary64) x)) |
(*.f64 (neg.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) (/.f64 (/.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)) x) x)) y #s(literal -1 binary64)) y #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) #s(approx (pow (/ (+ y x) x) x) (fma.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1/2 binary64) x))) y #s(literal 1 binary64)) y #s(literal 1 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (fma.f64 (fma.f64 (*.f64 (neg.f64 x) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)) y (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))) y (neg.f64 x)) y (neg.f64 x)))) |
| Outputs |
|---|
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) #s(approx (pow (/ (+ y x) x) x) (fma.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1/2 binary64) x))) y #s(literal 1 binary64)) y #s(literal 1 binary64))))) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x 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) |
(/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (fma.f64 (fma.f64 (*.f64 (neg.f64 x) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)) y (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))) y (neg.f64 x)) y (neg.f64 x)))) |
3 calls:
| 31.0ms | x |
| 10.0ms | y |
| 10.0ms | (/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.3% | 3 | y |
| 81.2% | 3 | (/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) |
| 88.5% | 4 | x |
Compiled 13 to 12 computations (7.7% saved)
| Inputs |
|---|
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.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))))) x) #s(approx (- (/ 1 x) (/ y x)) (*.f64 y (/.f64 #s(literal -1 binary64) x)))) |
(*.f64 #s(approx (neg (exp (* x (log (/ x (+ x y)))))) (-.f64 y #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (neg.f64 (fma.f64 y x x)))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) 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) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x))) |
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) #s(approx (pow (/ (+ y x) x) x) (+.f64 #s(literal 1 binary64) y)))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (/.f64 #s(literal -1 binary64) (/.f64 x y)))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (-.f64 x (*.f64 y x)) (*.f64 x x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (fma.f64 (neg.f64 y) x x) (*.f64 x x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (*.f64 (/.f64 (*.f64 y y) (*.f64 x x)) #s(literal 1/2 binary64)))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 #s(approx (- x (* y x)) (*.f64 (neg.f64 y) x)) x) x)) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x 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))))) x) (/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x)) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (*.f64 (*.f64 y (/.f64 (/.f64 y x) x)) #s(literal 1/2 binary64)))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (/.f64 #s(approx (+ (* (+ (* (+ (* 1/2 y) -1) y) 1) x) (* (* 1/2 y) y)) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x) x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 #s(approx (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) y (/.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.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))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (/.f64 #s(approx (+ (* (+ (* (+ (* 1/2 y) -1) y) 1) x) (* (* 1/2 y) y)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) y) y)) x) x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (-.f64 (/.f64 x y) x) (*.f64 x (/.f64 x y)))) |
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) #s(approx (pow (/ (+ y x) x) x) (fma.f64 (fma.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(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (fma.f64 (neg.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y) x x)) y (neg.f64 x)))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 #s(literal 1/2 binary64) y) y)) x) x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 #s(approx (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x (*.f64 #s(literal 1/2 binary64) y)) x) x)) y (/.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) (*.f64 x 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 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) #s(approx (/ (/ (+ (* (+ (* (+ (* -1/6 y) 1/2) x) (+ (* -1/2 y) 1/2)) x) (* -1/3 y)) x) x) (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) y) (*.f64 (neg.f64 x) x)))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) (/.f64 #s(approx (/ (+ (* (+ (* (+ (* -1/6 y) 1/2) x) (+ (* -1/2 y) 1/2)) x) (* -1/3 y)) x) (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/3 binary64)) y) x)) x)) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 (fma.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 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) (/.f64 (/.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)) x) x)) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 (fma.f64 (/.f64 (fma.f64 x x (*.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x 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 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x 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 (neg (exp (* x (log (/ x (+ x y)))))) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) 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 #s(literal -1 binary64) x)) |
(*.f64 (neg.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) (/.f64 (/.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)) x) x)) y #s(literal -1 binary64)) y #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) #s(approx (pow (/ (+ y x) x) x) (fma.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1/2 binary64) x))) y #s(literal 1 binary64)) y #s(literal 1 binary64))))) |
| Outputs |
|---|
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) #s(approx (pow (/ (+ y x) x) x) (fma.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1/2 binary64) x))) y #s(literal 1 binary64)) y #s(literal 1 binary64))))) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x 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) |
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) #s(approx (pow (/ (+ y x) x) x) (fma.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1/2 binary64) x))) y #s(literal 1 binary64)) y #s(literal 1 binary64))))) |
1 calls:
| 10.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.5% | 4 | x |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.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))))) x) #s(approx (- (/ 1 x) (/ y x)) (*.f64 y (/.f64 #s(literal -1 binary64) x)))) |
(*.f64 #s(approx (neg (exp (* x (log (/ x (+ x y)))))) (-.f64 y #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (neg.f64 (fma.f64 y x x)))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) 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) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x))) |
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) #s(approx (pow (/ (+ y x) x) x) (+.f64 #s(literal 1 binary64) y)))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (/.f64 #s(literal -1 binary64) (/.f64 x y)))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (-.f64 x (*.f64 y x)) (*.f64 x x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (fma.f64 (neg.f64 y) x x) (*.f64 x x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (*.f64 (/.f64 (*.f64 y y) (*.f64 x x)) #s(literal 1/2 binary64)))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 #s(approx (- x (* y x)) (*.f64 (neg.f64 y) x)) x) x)) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x 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))))) x) (/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x)) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (*.f64 (*.f64 y (/.f64 (/.f64 y x) x)) #s(literal 1/2 binary64)))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (/.f64 #s(approx (+ (* (+ (* (+ (* 1/2 y) -1) y) 1) x) (* (* 1/2 y) y)) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x) x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 #s(approx (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) y (/.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.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))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (/.f64 #s(approx (+ (* (+ (* (+ (* 1/2 y) -1) y) 1) x) (* (* 1/2 y) y)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) y) y)) x) x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (-.f64 (/.f64 x y) x) (*.f64 x (/.f64 x y)))) |
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) #s(approx (pow (/ (+ y x) x) x) (fma.f64 (fma.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(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (fma.f64 (neg.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y) x x)) y (neg.f64 x)))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 #s(literal 1/2 binary64) y) y)) x) x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 #s(approx (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x (*.f64 #s(literal 1/2 binary64) y)) x) x)) y (/.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) (*.f64 x 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 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) #s(approx (/ (/ (+ (* (+ (* (+ (* -1/6 y) 1/2) x) (+ (* -1/2 y) 1/2)) x) (* -1/3 y)) x) x) (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) y) (*.f64 (neg.f64 x) x)))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) (/.f64 #s(approx (/ (+ (* (+ (* (+ (* -1/6 y) 1/2) x) (+ (* -1/2 y) 1/2)) x) (* -1/3 y)) x) (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/3 binary64)) y) x)) x)) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 (fma.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 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) (/.f64 (/.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)) x) x)) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 (fma.f64 (/.f64 (fma.f64 x x (*.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x 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 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x 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 (neg (exp (* x (log (/ x (+ x y)))))) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) 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 #s(literal -1 binary64) x)) |
(*.f64 (neg.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) (/.f64 (/.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)) x) x)) y #s(literal -1 binary64)) y #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) x)) |
| Outputs |
|---|
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) #s(approx (pow (/ (+ y x) x) x) (fma.f64 (fma.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 (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x 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) |
(/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (fma.f64 (neg.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y) x x)) y (neg.f64 x)))) |
1 calls:
| 10.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.6% | 4 | x |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.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))))) x) #s(approx (- (/ 1 x) (/ y x)) (*.f64 y (/.f64 #s(literal -1 binary64) x)))) |
(*.f64 #s(approx (neg (exp (* x (log (/ x (+ x y)))))) (-.f64 y #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (neg.f64 (fma.f64 y x x)))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) 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) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x))) |
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) #s(approx (pow (/ (+ y x) x) x) (+.f64 #s(literal 1 binary64) y)))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (/.f64 #s(literal -1 binary64) (/.f64 x y)))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (-.f64 x (*.f64 y x)) (*.f64 x x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (fma.f64 (neg.f64 y) x x) (*.f64 x x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (*.f64 (/.f64 (*.f64 y y) (*.f64 x x)) #s(literal 1/2 binary64)))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 #s(approx (- x (* y x)) (*.f64 (neg.f64 y) x)) x) x)) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x 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))))) x) (/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x)) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (*.f64 (*.f64 y (/.f64 (/.f64 y x) x)) #s(literal 1/2 binary64)))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (/.f64 #s(approx (+ (* (+ (* (+ (* 1/2 y) -1) y) 1) x) (* (* 1/2 y) y)) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x) x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 #s(approx (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) y (/.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.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))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (/.f64 #s(approx (+ (* (+ (* (+ (* 1/2 y) -1) y) 1) x) (* (* 1/2 y) y)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) y) y)) x) x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (-.f64 (/.f64 x y) x) (*.f64 x (/.f64 x y)))) |
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) #s(approx (pow (/ (+ y x) x) x) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))) |
| Outputs |
|---|
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) #s(approx (pow (/ (+ y x) x) x) (fma.f64 (fma.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 (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x 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) |
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) #s(approx (pow (/ (+ y x) x) x) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))) |
1 calls:
| 7.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.6% | 4 | x |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.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))))) x) #s(approx (- (/ 1 x) (/ y x)) (*.f64 y (/.f64 #s(literal -1 binary64) x)))) |
(*.f64 #s(approx (neg (exp (* x (log (/ x (+ x y)))))) (-.f64 y #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (neg.f64 (fma.f64 y x x)))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) 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) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x))) |
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) #s(approx (pow (/ (+ y x) x) x) (+.f64 #s(literal 1 binary64) y)))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (/.f64 #s(literal -1 binary64) (/.f64 x y)))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (-.f64 x (*.f64 y x)) (*.f64 x x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (fma.f64 (neg.f64 y) x x) (*.f64 x x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (*.f64 (/.f64 (*.f64 y y) (*.f64 x x)) #s(literal 1/2 binary64)))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 #s(approx (- x (* y x)) (*.f64 (neg.f64 y) x)) x) x)) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x 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))))) x) (/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x)) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (*.f64 (*.f64 y (/.f64 (/.f64 y x) x)) #s(literal 1/2 binary64)))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (/.f64 #s(approx (+ (* (+ (* (+ (* 1/2 y) -1) y) 1) x) (* (* 1/2 y) y)) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x) x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 #s(approx (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) y (/.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.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))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (/.f64 #s(approx (+ (* (+ (* (+ (* 1/2 y) -1) y) 1) x) (* (* 1/2 y) y)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) y) y)) x) x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (-.f64 (/.f64 x y) x) (*.f64 x (/.f64 x y)))) |
| Outputs |
|---|
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x 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) |
(/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (neg.f64 (fma.f64 y x x)))) |
1 calls:
| 7.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 83.9% | 3 | x |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.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))))) x) #s(approx (- (/ 1 x) (/ y x)) (*.f64 y (/.f64 #s(literal -1 binary64) x)))) |
(*.f64 #s(approx (neg (exp (* x (log (/ x (+ x y)))))) (-.f64 y #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (neg.f64 (fma.f64 y x x)))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) 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) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x))) |
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) #s(approx (pow (/ (+ y x) x) x) (+.f64 #s(literal 1 binary64) y)))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (/.f64 #s(literal -1 binary64) (/.f64 x y)))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (-.f64 x (*.f64 y x)) (*.f64 x x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (fma.f64 (neg.f64 y) x x) (*.f64 x x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (*.f64 (/.f64 (*.f64 y y) (*.f64 x x)) #s(literal 1/2 binary64)))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 #s(approx (- x (* y x)) (*.f64 (neg.f64 y) x)) x) x)) |
| Outputs |
|---|
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.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(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (neg.f64 (fma.f64 y x x)))) |
1 calls:
| 5.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.6% | 3 | x |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.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))))) x) #s(approx (- (/ 1 x) (/ y x)) (*.f64 y (/.f64 #s(literal -1 binary64) x)))) |
(*.f64 #s(approx (neg (exp (* x (log (/ x (+ x y)))))) (-.f64 y #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (neg.f64 (fma.f64 y x x)))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) 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) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x))) |
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) #s(approx (pow (/ (+ y x) x) x) (+.f64 #s(literal 1 binary64) y)))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (/.f64 #s(literal -1 binary64) (/.f64 x y)))) |
| Outputs |
|---|
#s(approx (/ (exp (* x (log (/ x (+ x y))))) 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) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x))) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) |
3 calls:
| 3.0ms | x |
| 3.0ms | (/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) |
| 3.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.2% | 2 | y |
| 73.6% | 1 | (/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) |
| 79.8% | 3 | x |
Compiled 13 to 12 computations (7.7% saved)
| Inputs |
|---|
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.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))))) x) #s(approx (- (/ 1 x) (/ y x)) (*.f64 y (/.f64 #s(literal -1 binary64) x)))) |
(*.f64 #s(approx (neg (exp (* x (log (/ x (+ x y)))))) (-.f64 y #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (neg.f64 (fma.f64 y x x)))) |
| Outputs |
|---|
(/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (neg.f64 (fma.f64 y x x)))) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) |
(/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (neg.f64 (fma.f64 y x x)))) |
2 calls:
| 2.0ms | x |
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 79.8% | 3 | x |
| 73.6% | 1 | y |
Compiled 2 to 4 computations (-100% saved)
Total -44.5b remaining (-263.9%)
Threshold costs -44.5b (-263.9%)
| Inputs |
|---|
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.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))))) x) #s(approx (- (/ 1 x) (/ y x)) (*.f64 y (/.f64 #s(literal -1 binary64) x)))) |
(*.f64 #s(approx (neg (exp (* x (log (/ x (+ x y)))))) (-.f64 y #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) x)) |
| Outputs |
|---|
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) |
3 calls:
| 11.0ms | y |
| 2.0ms | x |
| 2.0ms | (/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 73.6% | 1 | y |
| 73.6% | 1 | (/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) |
| 73.6% | 1 | x |
Compiled 13 to 12 computations (7.7% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 5.0ms | 1.4450376704037564e-11 | 1.777667050301812e-11 |
| 15.0ms | -74751.80019504939 | -3900.525042569394 |
| 11.0ms | 144× | 0 | valid |
| 2.0ms | 33× | 0 | invalid |
Compiled 278 to 232 computations (16.5% saved)
ival-div: 2.0ms (22.4% of total)ival-log: 2.0ms (22.4% of total)ival-exp: 2.0ms (22.4% of total)ival-add: 1.0ms (11.2% of total)ival-mult: 1.0ms (11.2% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.4450376704037564e-11 | 1.777667050301812e-11 |
| 1.0ms | -74751.80019504939 | -3900.525042569394 |
Compiled 257 to 211 computations (17.9% saved)
| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.4450376704037564e-11 | 1.777667050301812e-11 |
| 1.0ms | -74751.80019504939 | -3900.525042569394 |
| 44.0ms | -2.559794045031261e+214 | -4.465887589152788e+211 |
| 36.0ms | 113× | 1 | valid |
| 1.0ms | 15× | 0 | valid |
| 0.0ms | 5× | 0 | invalid |
Compiled 1 156 to 820 computations (29.1% saved)
ival-log: 14.0ms (43.1% of total)ival-div: 12.0ms (36.9% of total)ival-add: 2.0ms (6.2% of total)adjust: 2.0ms (6.2% of total)ival-exp: 2.0ms (6.2% of total)ival-mult: 2.0ms (6.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.4450376704037564e-11 | 1.777667050301812e-11 |
| 1.0ms | -74751.80019504939 | -3900.525042569394 |
| 2.0ms | -2.559794045031261e+214 | -4.465887589152788e+211 |
Compiled 1 146 to 822 computations (28.3% saved)
| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.4450376704037564e-11 | 1.777667050301812e-11 |
| 1.0ms | -74751.80019504939 | -3900.525042569394 |
| 1.0ms | -2.559794045031261e+214 | -4.465887589152788e+211 |
Compiled 1 024 to 736 computations (28.1% saved)
| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.4450376704037564e-11 | 1.777667050301812e-11 |
| 25.0ms | -74751.80019504939 | -3900.525042569394 |
| 1.0ms | -2.559794045031261e+214 | -4.465887589152788e+211 |
Compiled 1 016 to 732 computations (28% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.4450376704037564e-11 | 1.777667050301812e-11 |
| 1.0ms | -74751.80019504939 | -3900.525042569394 |
Compiled 468 to 348 computations (25.6% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.4450376704037564e-11 | 1.777667050301812e-11 |
| 1.0ms | -74751.80019504939 | -3900.525042569394 |
Compiled 468 to 341 computations (27.1% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 71.0ms | -9.909436640345153e+162 | -1.3085393251784253e+151 |
| 14.0ms | 72× | 1 | valid |
| 6.0ms | 88× | 0 | valid |
| 6.0ms | 85× | 0 | invalid |
Compiled 654 to 443 computations (32.3% saved)
ival-log: 7.0ms (36.2% of total)ival-div: 4.0ms (20.7% of total)ival-add: 2.0ms (10.3% of total)ival-exp: 2.0ms (10.3% of total)ival-mult: 2.0ms (10.3% of total)adjust: 1.0ms (5.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.4450376704037564e-11 | 1.777667050301812e-11 |
| 20.0ms | -2.485144169491145e+20 | -31594380435551494000.0 |
| 13.0ms | 71× | 1 | valid |
| 2.0ms | 25× | 0 | valid |
| 1.0ms | 19× | 0 | invalid |
Compiled 262 to 205 computations (21.8% saved)
ival-log: 5.0ms (39.9% of total)ival-div: 3.0ms (24% of total)adjust: 1.0ms (8% of total)ival-exp: 1.0ms (8% of total)ival-add: 1.0ms (8% of total)ival-mult: 1.0ms (8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 133 | 928 |
| 1 | 165 | 928 |
| 2 | 210 | 928 |
| 3 | 252 | 928 |
| 4 | 273 | 928 |
| 5 | 281 | 928 |
| 6 | 282 | 928 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 x #s(literal -3950 binary64)) (*.f64 (neg.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)))) (/.f64 #s(literal -1 binary64) x)) (if (<=.f64 x #s(literal 2630622583481433/154742504910672534362390528 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 -3950 binary64)) (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) (if (<=.f64 x #s(literal 2630622583481433/154742504910672534362390528 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 -859999999999999929725951692913027950335945059948314334552343601477383669101347410240366052905676527105585706193573031737983001412025907229027544822353705434772134999293688358762424593039577762302109383172256956416 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) #s(approx (pow (/ (+ y x) x) x) (fma.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1/2 binary64) x))) y #s(literal 1 binary64)) y #s(literal 1 binary64))))) (if (<=.f64 x #s(literal -3950 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x 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) (if (<=.f64 x #s(literal 2630622583481433/154742504910672534362390528 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (fma.f64 (fma.f64 (*.f64 (neg.f64 x) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)) y (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))) y (neg.f64 x)) y (neg.f64 x))))))) |
(if (<=.f64 x #s(literal -859999999999999929725951692913027950335945059948314334552343601477383669101347410240366052905676527105585706193573031737983001412025907229027544822353705434772134999293688358762424593039577762302109383172256956416 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) #s(approx (pow (/ (+ y x) x) x) (fma.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1/2 binary64) x))) y #s(literal 1 binary64)) y #s(literal 1 binary64))))) (if (<=.f64 x #s(literal -3950 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x 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) (if (<=.f64 x #s(literal 2630622583481433/154742504910672534362390528 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) #s(approx (pow (/ (+ y x) x) x) (fma.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1/2 binary64) x))) y #s(literal 1 binary64)) y #s(literal 1 binary64)))))))) |
(if (<=.f64 x #s(literal -859999999999999929725951692913027950335945059948314334552343601477383669101347410240366052905676527105585706193573031737983001412025907229027544822353705434772134999293688358762424593039577762302109383172256956416 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) #s(approx (pow (/ (+ y x) x) x) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))) (if (<=.f64 x #s(literal -3950 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x 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) (if (<=.f64 x #s(literal 2630622583481433/154742504910672534362390528 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (fma.f64 (neg.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y) x x)) y (neg.f64 x))))))) |
(if (<=.f64 x #s(literal -859999999999999929725951692913027950335945059948314334552343601477383669101347410240366052905676527105585706193573031737983001412025907229027544822353705434772134999293688358762424593039577762302109383172256956416 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) #s(approx (pow (/ (+ y x) x) x) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))) (if (<=.f64 x #s(literal -3950 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x 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) (if (<=.f64 x #s(literal 2630622583481433/154742504910672534362390528 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) #s(approx (pow (/ (+ y x) x) x) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))))))) |
(if (<=.f64 x #s(literal -3950 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x 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) (if (<=.f64 x #s(literal 2630622583481433/154742504910672534362390528 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (neg.f64 (fma.f64 y x x)))))) |
(if (<=.f64 x #s(literal -3950 binary64)) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x))) (if (<=.f64 x #s(literal 2630622583481433/154742504910672534362390528 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (neg.f64 (fma.f64 y x x)))))) |
(if (<=.f64 y #s(literal -13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) #s(approx (/ (exp (* x (log (/ x (+ x y))))) 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) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x))) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x)) |
(if (<=.f64 x #s(literal -45000000000000000000 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (neg.f64 (fma.f64 y x x)))) (if (<=.f64 x #s(literal 2630622583481433/154742504910672534362390528 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (neg.f64 (fma.f64 y x x)))))) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) |
| Outputs |
|---|
(if (<=.f64 x #s(literal -3950 binary64)) (*.f64 (neg.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)))) (/.f64 #s(literal -1 binary64) x)) (if (<=.f64 x #s(literal 2630622583481433/154742504910672534362390528 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 -3950 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (neg.f64 x)) (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)))) (if (<=.f64 x #s(literal 2630622583481433/154742504910672534362390528 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 -3950 binary64)) (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) (if (<=.f64 x #s(literal 2630622583481433/154742504910672534362390528 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 -859999999999999929725951692913027950335945059948314334552343601477383669101347410240366052905676527105585706193573031737983001412025907229027544822353705434772134999293688358762424593039577762302109383172256956416 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) #s(approx (pow (/ (+ y x) x) x) (fma.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1/2 binary64) x))) y #s(literal 1 binary64)) y #s(literal 1 binary64))))) (if (<=.f64 x #s(literal -3950 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x 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) (if (<=.f64 x #s(literal 2630622583481433/154742504910672534362390528 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (fma.f64 (fma.f64 (*.f64 (neg.f64 x) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)) y (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))) y (neg.f64 x)) y (neg.f64 x))))))) |
(if (<=.f64 x #s(literal -859999999999999929725951692913027950335945059948314334552343601477383669101347410240366052905676527105585706193573031737983001412025907229027544822353705434772134999293688358762424593039577762302109383172256956416 binary64)) (/.f64 (neg.f64 #s(literal -1 binary64)) (*.f64 #s(approx (pow (/ (+ y x) x) x) (fma.f64 (fma.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)) y (/.f64 #s(literal -1/2 binary64) x)) #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))) x)) (if (<=.f64 x #s(literal -3950 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x 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) (if (<=.f64 x #s(literal 2630622583481433/154742504910672534362390528 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (fma.f64 (fma.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)) y (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))) (neg.f64 x)) y (neg.f64 x)) y (neg.f64 x))))))) |
(if (<=.f64 x #s(literal -859999999999999929725951692913027950335945059948314334552343601477383669101347410240366052905676527105585706193573031737983001412025907229027544822353705434772134999293688358762424593039577762302109383172256956416 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) #s(approx (pow (/ (+ y x) x) x) (fma.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1/2 binary64) x))) y #s(literal 1 binary64)) y #s(literal 1 binary64))))) (if (<=.f64 x #s(literal -3950 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x 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) (if (<=.f64 x #s(literal 2630622583481433/154742504910672534362390528 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) #s(approx (pow (/ (+ y x) x) x) (fma.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1/2 binary64) x))) y #s(literal 1 binary64)) y #s(literal 1 binary64)))))))) |
(if (<=.f64 x #s(literal -859999999999999929725951692913027950335945059948314334552343601477383669101347410240366052905676527105585706193573031737983001412025907229027544822353705434772134999293688358762424593039577762302109383172256956416 binary64)) (/.f64 (neg.f64 #s(literal -1 binary64)) (*.f64 #s(approx (pow (/ (+ y x) x) x) (fma.f64 (fma.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)) y (/.f64 #s(literal -1/2 binary64) x)) #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))) x)) (if (<=.f64 x #s(literal -3950 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x 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) (if (<=.f64 x #s(literal 2630622583481433/154742504910672534362390528 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (/.f64 (neg.f64 #s(literal -1 binary64)) (*.f64 #s(approx (pow (/ (+ y x) x) x) (fma.f64 (fma.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)) y (/.f64 #s(literal -1/2 binary64) x)) #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))) x))))) |
(if (<=.f64 x #s(literal -859999999999999929725951692913027950335945059948314334552343601477383669101347410240366052905676527105585706193573031737983001412025907229027544822353705434772134999293688358762424593039577762302109383172256956416 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) #s(approx (pow (/ (+ y x) x) x) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))) (if (<=.f64 x #s(literal -3950 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x 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) (if (<=.f64 x #s(literal 2630622583481433/154742504910672534362390528 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (fma.f64 (neg.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y) x x)) y (neg.f64 x))))))) |
(if (<=.f64 x #s(literal -859999999999999929725951692913027950335945059948314334552343601477383669101347410240366052905676527105585706193573031737983001412025907229027544822353705434772134999293688358762424593039577762302109383172256956416 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 #s(approx (pow (/ (+ y x) x) x) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal 1 binary64)) y #s(literal 1 binary64))) (neg.f64 x))) (if (<=.f64 x #s(literal -3950 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x 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) (if (<=.f64 x #s(literal 2630622583481433/154742504910672534362390528 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (fma.f64 (neg.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y) x x)) y (neg.f64 x))))))) |
(if (<=.f64 x #s(literal -859999999999999929725951692913027950335945059948314334552343601477383669101347410240366052905676527105585706193573031737983001412025907229027544822353705434772134999293688358762424593039577762302109383172256956416 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) #s(approx (pow (/ (+ y x) x) x) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))) (if (<=.f64 x #s(literal -3950 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x 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) (if (<=.f64 x #s(literal 2630622583481433/154742504910672534362390528 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) #s(approx (pow (/ (+ y x) x) x) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))))))) |
(if (<=.f64 x #s(literal -859999999999999929725951692913027950335945059948314334552343601477383669101347410240366052905676527105585706193573031737983001412025907229027544822353705434772134999293688358762424593039577762302109383172256956416 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 #s(approx (pow (/ (+ y x) x) x) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal 1 binary64)) y #s(literal 1 binary64))) (neg.f64 x))) (if (<=.f64 x #s(literal -3950 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x 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) (if (<=.f64 x #s(literal 2630622583481433/154742504910672534362390528 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) (*.f64 #s(approx (pow (/ (+ y x) x) x) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal 1 binary64)) y #s(literal 1 binary64))) (neg.f64 x)))))) |
(if (<=.f64 x #s(literal -3950 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x 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) (if (<=.f64 x #s(literal 2630622583481433/154742504910672534362390528 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (neg.f64 (fma.f64 y x x)))))) |
(if (<=.f64 x #s(literal -3950 binary64)) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x))) (if (<=.f64 x #s(literal 2630622583481433/154742504910672534362390528 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (neg.f64 (fma.f64 y x x)))))) |
(if (<=.f64 y #s(literal -13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) #s(approx (/ (exp (* x (log (/ x (+ x y))))) 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) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x))) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x)) |
(if (<=.f64 x #s(literal -45000000000000000000 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (neg.f64 (fma.f64 y x x)))) (if (<=.f64 x #s(literal 2630622583481433/154742504910672534362390528 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (neg.f64 (fma.f64 y x x)))))) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1026 | 6329 |
| 1 | 3337 | 5594 |
| 0 | 8241 | 5299 |
| 0 | 554 | 3081 |
| 1 | 1674 | 2567 |
| 2 | 5691 | 2486 |
| 0 | 8305 | 2358 |
| 0 | 563 | 2994 |
| 1 | 1717 | 2565 |
| 2 | 5773 | 2484 |
| 0 | 8140 | 2355 |
| 0 | 708 | 4740 |
| 1 | 2256 | 4130 |
| 2 | 7904 | 4102 |
| 0 | 8132 | 3855 |
| 0 | 8 | 39 |
| 0 | 14 | 39 |
| 1 | 48 | 35 |
| 2 | 276 | 35 |
| 3 | 2526 | 35 |
| 0 | 8637 | 35 |
| 0 | 32 | 197 |
| 0 | 51 | 185 |
| 1 | 213 | 185 |
| 2 | 1782 | 185 |
| 0 | 8335 | 181 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 1 159 to 363 computations (68.7% saved)
Compiled 1 966 to 334 computations (83% saved)
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