
Time bar (total: 7.1s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 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)
| 1.1s | 3 769× | 1 | valid |
| 359.0ms | 4 487× | 0 | valid |
| 17.0ms | 264× | 0 | invalid |
ival-log: 568.0ms (50.7% of total)ival-div: 202.0ms (18% of total)ival-mult: 108.0ms (9.6% of total)ival-exp: 102.0ms (9.1% of total)ival-add: 78.0ms (7% of total)adjust: 54.0ms (4.8% of total)ival-true: 7.0ms (0.6% of total)ival-assert: 4.0ms (0.4% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 178 | 33 | (4.7695883985501294e+237 5.184626068611037e-285) | 4 | (1.4626963788875875e-36 8.758285367014552e+279) | (log.f64 (/.f64 x (+.f64 x y))) |
| 35 | 0 | - | 2 | (4.505219384835625e+113 -1.1018802877228303e-201) | (*.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 | 185 | 1 |
*.f64 | (*.f64 x (log.f64 (/.f64 x (+.f64 x y)))) | n*u | 33 | 0 |
log.f64 | (log.f64 (/.f64 x (+.f64 x y))) | uflow-rescue | 22 | 0 |
| ↳ | (log.f64 (/.f64 x (+.f64 x y))) | underflow | 33 | |
| ↳ | (/.f64 x (+.f64 x y)) | underflow | 22 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 69 | 0 |
| - | 138 | 49 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 69 | 0 | 0 |
| - | 138 | 1 | 48 |
| number | freq |
|---|---|
| 0 | 49 |
| 1 | 174 |
| 2 | 33 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 68.0ms | 278× | 1 | valid |
| 36.0ms | 80× | 2 | valid |
| 12.0ms | 154× | 0 | valid |
Compiled 147 to 36 computations (75.5% saved)
ival-log: 44.0ms (50.1% of total)ival-div: 17.0ms (19.4% of total)ival-add: 7.0ms (8% of total)ival-exp: 7.0ms (8% of total)adjust: 6.0ms (6.8% of total)ival-mult: 6.0ms (6.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 67 |
| 1 | 58 | 55 |
| 2 | 139 | 53 |
| 3 | 392 | 53 |
| 4 | 1217 | 53 |
| 0 | 8 | 11 |
| 0 | 14 | 11 |
| 1 | 21 | 9 |
| 2 | 38 | 9 |
| 3 | 81 | 9 |
| 4 | 261 | 9 |
| 5 | 2013 | 9 |
| 6 | 5297 | 9 |
| 0 | 9108 | 9 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) |
| Outputs |
|---|
(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) |
(/.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) x) |
Compiled 11 to 8 computations (27.3% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 74.8% | (/.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 | 2 | (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 44 |
| 0 | 14 | 44 |
| 1 | 21 | 40 |
| 2 | 38 | 40 |
| 3 | 81 | 40 |
| 4 | 261 | 40 |
| 5 | 2013 | 40 |
| 6 | 5297 | 40 |
| 0 | 9108 | 40 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) |
(exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) |
(*.f64 x (log.f64 (/.f64 x (+.f64 x y)))) |
x |
(log.f64 (/.f64 x (+.f64 x y))) |
(/.f64 x (+.f64 x y)) |
(+.f64 x y) |
y |
| Outputs |
|---|
(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) |
(/.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) x) |
(exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) |
(pow.f64 (/.f64 x (+.f64 y x)) x) |
(*.f64 x (log.f64 (/.f64 x (+.f64 x y)))) |
(*.f64 (log.f64 (/.f64 x (+.f64 y x))) x) |
x |
(log.f64 (/.f64 x (+.f64 x y))) |
(log.f64 (/.f64 x (+.f64 y x))) |
(/.f64 x (+.f64 x y)) |
(/.f64 x (+.f64 y x)) |
(+.f64 x y) |
(+.f64 y x) |
y |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.00390625 | (/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) | |
| accuracy | 0.01953125 | (/.f64 x (+.f64 x y)) | |
| accuracy | 8.010182760127822 | (*.f64 x (log.f64 (/.f64 x (+.f64 x y)))) | |
| accuracy | 40.67138013856778 | (log.f64 (/.f64 x (+.f64 x y))) |
| 46.0ms | 139× | 1 | valid |
| 16.0ms | 40× | 2 | valid |
| 6.0ms | 77× | 0 | valid |
Compiled 90 to 18 computations (80% saved)
ival-log: 38.0ms (66.6% of total)ival-div: 7.0ms (12.3% of total)ival-add: 3.0ms (5.3% of total)adjust: 3.0ms (5.3% of total)ival-exp: 3.0ms (5.3% of total)ival-mult: 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 | |
|---|---|---|---|---|
| 7.0ms | 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))) |
| 4.0ms | x | @ | inf | ((exp (* x (log (/ x (+ x y))))) (/ (exp (* x (log (/ x (+ x y))))) x) (* x (log (/ x (+ x y)))) (log (/ x (+ x y))) (/ x (+ x y))) |
| 4.0ms | x | @ | -inf | ((exp (* x (log (/ x (+ x y))))) (/ (exp (* x (log (/ x (+ x y))))) x) (* x (log (/ x (+ x y)))) (log (/ x (+ x y))) (/ x (+ x y))) |
| 3.0ms | y | @ | 0 | ((exp (* x (log (/ x (+ x y))))) (/ (exp (* x (log (/ x (+ x y))))) x) (* x (log (/ x (+ x y)))) (log (/ x (+ x y))) (/ x (+ x y))) |
| 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 | 3084 |
| 1 | 1948 | 2626 |
| 0 | 8623 | 2499 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (* x (+ (log x) (log (/ 1 y))))) |
(+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y))))))) |
(+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (* x (+ (* -1 (/ (+ (log x) (log (/ 1 y))) y)) (+ (* 1/6 (pow (+ (log x) (log (/ 1 y))) 3)) (* 1/2 (/ 1 (pow y 2))))))) (/ 1 y))))))) |
(/ 1 x) |
(/ (+ 1 (* x (+ (log x) (log (/ 1 y))))) x) |
(/ (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y))))))) x) |
(/ (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (* x (+ (* -1 (/ (+ (log x) (log (/ 1 y))) y)) (+ (* 1/6 (pow (+ (log x) (log (/ 1 y))) 3)) (* 1/2 (/ 1 (pow y 2))))))) (/ 1 y))))))) x) |
(* x (+ (log x) (log (/ 1 y)))) |
(* x (+ (log x) (+ (log (/ 1 y)) (* -1 (/ x y))))) |
(* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (/ x (pow y 2))) (/ 1 y)))))) |
(* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* x (+ (* -1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y)))))) |
(+ (log x) (log (/ 1 y))) |
(+ (log x) (+ (log (/ 1 y)) (* -1 (/ x y)))) |
(+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (/ x (pow y 2))) (/ 1 y))))) |
(+ (log x) (+ (log (/ 1 y)) (* x (- (* x (+ (* -1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))))) |
(/ x y) |
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y))) |
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y))) |
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))) |
(exp (* -1 y)) |
(+ (exp (* -1 y)) (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) |
(+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2)))) |
(+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (+ (/ (* (exp (* -1 y)) (+ (* 1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (+ (* 1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) (pow x 3)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2))))) |
(/ (exp (* -1 y)) x) |
(/ (+ (exp (* -1 y)) (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) x) |
(/ (+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2)))) x) |
(/ (+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (+ (/ (* (exp (* -1 y)) (+ (* 1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (+ (* 1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) (pow x 3)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2))))) x) |
(* -1 y) |
(+ (* -1 y) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) x))) |
(+ (* -1 y) (+ (* 1/6 (/ (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (pow x 2))) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) x)))) |
(+ (* -1 y) (+ (* 1/24 (/ (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4))))) (pow x 3))) (+ (* 1/6 (/ (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (pow x 2))) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) x))))) |
(* -1 (/ y x)) |
(/ (+ (* -1 y) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) x))) x) |
(/ (+ (* -1 y) (+ (* 1/6 (/ (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (pow x 2))) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) x)))) x) |
(/ (+ (* -1 y) (+ (* 1/24 (/ (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4))))) (pow x 3))) (+ (* 1/6 (/ (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (pow x 2))) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) x))))) x) |
(+ 1 (* -1 (/ y x))) |
(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x)) |
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))) |
(+ (exp (* -1 y)) (* -1 (/ (+ (* -1 (/ (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)))) x)) (* -1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))) x))) |
(+ (exp (* -1 y)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* -1 y)) (+ (* -1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) x)) (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2))))) x)) (* -1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))) x))) |
(* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) x)) |
(* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1 (/ (+ (* 1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (/ (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)))) x)) x))) x)) |
(* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2))))) (/ (* (exp (* -1 y)) (+ (* -1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) x)) x)) (* 1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))) x))) x)) |
(+ (* -1 y) (* -1 (/ (+ (* -1/2 (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) (* 1/6 (/ (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) x))) x))) |
(+ (* -1 y) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/24 (/ (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4))))) x))) x)) (* -1/2 (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) x))) |
(* -1 (/ (+ y (* -1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) x))) x)) |
(* -1 (/ (+ y (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) x)) (* 1/2 (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) x))) x)) |
(* -1 (/ (+ y (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4))))) x)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))))) x)) (* 1/2 (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) x))) x)) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x))) |
(+ 1 (* -1 y)) |
(+ 1 (* y (- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1))) |
(+ 1 (* y (- (* y (+ 1/2 (+ (* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) (* 1/2 (/ 1 x))))) 1))) |
(+ (* -1 (/ y x)) (/ 1 x)) |
(+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x)) |
(+ (* y (- (* y (+ (* -1 (/ (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) x)) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))) (/ 1 x))) (/ 1 x)) |
(* y (- (* 1/2 (/ y x)) 1)) |
(* y (- (* y (+ (* -1/3 (/ y (pow x 2))) (* 1/2 (/ 1 x)))) 1)) |
(* y (- (* y (+ (* y (- (* 1/4 (/ y (pow x 3))) (* 1/3 (/ 1 (pow x 2))))) (* 1/2 (/ 1 x)))) 1)) |
(* y (- (* 1/2 (/ y (pow x 2))) (/ 1 x))) |
(* y (- (* y (+ (* -1/3 (/ y (pow x 3))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) |
(* y (- (* y (+ (* y (- (* 1/4 (/ y (pow x 4))) (* 1/3 (/ 1 (pow x 3))))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) |
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x)))) |
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)))) |
(exp (* x (+ (log x) (log (/ 1 y))))) |
(+ (exp (* x (+ (log x) (log (/ 1 y))))) (* -1 (/ (* (pow x 2) (exp (* x (+ (log x) (log (/ 1 y)))))) y))) |
(+ (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1 (/ (* (pow x 2) (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (pow y 2)))) |
(+ (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1 (/ (* (pow x 2) (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (+ (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (+ (* -1/6 (pow x 6)) (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* -2 (pow x 3)) (* 6 (pow x 3))))))))) (pow y 3)) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (pow y 2))))) |
(/ (exp (* x (+ (log x) (log (/ 1 y))))) x) |
(+ (* -1 (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (/ (exp (* x (+ (log x) (log (/ 1 y))))) x)) |
(+ (* -1 (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (+ (/ (exp (* x (+ (log x) (log (/ 1 y))))) x) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x (pow y 2))))) |
(+ (* -1 (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (+ (/ (exp (* x (+ (log x) (log (/ 1 y))))) x) (+ (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (+ (* -1/6 (pow x 6)) (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* -2 (pow x 3)) (* 6 (pow x 3))))))))) (* x (pow y 3))) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x (pow y 2)))))) |
(+ (* -1 (/ (pow x 2) y)) (* x (+ (log x) (log (/ 1 y))))) |
(+ (* -1 (/ (pow x 2) y)) (+ (* 1/2 (/ (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2)))) (pow y 2))) (* x (+ (log x) (log (/ 1 y)))))) |
(+ (* -1 (/ (pow x 2) y)) (+ (* 1/6 (/ (* x (+ (* -6 (pow x 3)) (+ (* -2 (pow x 3)) (* 6 (pow x 3))))) (pow y 3))) (+ (* 1/2 (/ (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2)))) (pow y 2))) (* x (+ (log x) (log (/ 1 y))))))) |
(+ (log x) (+ (log (/ 1 y)) (+ (* -1 (/ x y)) (* 1/2 (/ (+ (* -1 (pow x 2)) (* 2 (pow x 2))) (pow y 2)))))) |
(+ (log x) (+ (log (/ 1 y)) (+ (* -1 (/ x y)) (+ (* 1/6 (/ (+ (* -6 (pow x 3)) (+ (* -2 (pow x 3)) (* 6 (pow x 3)))) (pow y 3))) (* 1/2 (/ (+ (* -1 (pow x 2)) (* 2 (pow x 2))) (pow y 2))))))) |
(/ (+ x (* -1 (/ (pow x 2) y))) y) |
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y) |
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y) |
(exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) |
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))) y))) |
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) y)) (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y))) |
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3)))))) (+ (* 1/6 (pow x 6)) (* 1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))))) y)) (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4))))) y)) (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y))) |
(/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x) |
(+ (* -1 (/ (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x)) |
(+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x y))) (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3)))))) (+ (* 1/6 (pow x 6)) (* 1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))))) (* x y))) (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) x)) y)) (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x)) |
(* x (+ (log (* -1 x)) (log (/ -1 y)))) |
(+ (* -1 (/ (pow x 2) y)) (* x (+ (log (* -1 x)) (log (/ -1 y))))) |
(+ (* -1 (/ (+ (* -1/2 (/ (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2)))) y)) (pow x 2)) y)) (* x (+ (log (* -1 x)) (log (/ -1 y))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3))))) y)) (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))) y)) (pow x 2)) y)) (* x (+ (log (* -1 x)) (log (/ -1 y))))) |
(+ (log (* -1 x)) (log (/ -1 y))) |
(+ (log (* -1 x)) (+ (log (/ -1 y)) (* -1 (/ x y)))) |
(+ (log (* -1 x)) (+ (log (/ -1 y)) (* -1 (/ (+ x (* -1/2 (/ (+ (* -1 (pow x 2)) (* 2 (pow x 2))) y))) y)))) |
(+ (log (* -1 x)) (+ (log (/ -1 y)) (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3)))) y)) (* 1/2 (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) y))) y)))) |
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y)) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (* x (+ (log x) (log (/ 1 y))))) |
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(fma.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x))) x (/.f64 (*.f64 (neg.f64 x) x) y)) |
(+ (* -1 (/ (+ (* -1/2 (/ (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2)))) y)) (pow x 2)) y)) (* x (+ (log (* -1 x)) (log (/ -1 y))))) |
(fma.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x))) x (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) #s(literal -1/2 binary64) (*.f64 x x)) (neg.f64 y))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3))))) y)) (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))) y)) (pow x 2)) y)) (* x (+ (log (* -1 x)) (log (/ -1 y))))) |
(fma.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x))) x (/.f64 (fma.f64 x x (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)) x) y) #s(literal -1/6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64))) (neg.f64 y))) (neg.f64 y))) |
(+ (log (* -1 x)) (log (/ -1 y))) |
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x))) |
(+ (log (* -1 x)) (+ (log (/ -1 y)) (* -1 (/ x y)))) |
(-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (-.f64 (/.f64 x y) (log.f64 (neg.f64 x)))) |
(+ (log (* -1 x)) (+ (log (/ -1 y)) (* -1 (/ (+ x (* -1/2 (/ (+ (* -1 (pow x 2)) (* 2 (pow x 2))) y))) y)))) |
(-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (-.f64 (/.f64 (fma.f64 (*.f64 x (/.f64 x y)) #s(literal -1/2 binary64) x) y) (log.f64 (neg.f64 x)))) |
(+ (log (* -1 x)) (+ (log (/ -1 y)) (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3)))) y)) (* 1/2 (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) y))) y)))) |
(-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (-.f64 (/.f64 (-.f64 x (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)) y) #s(literal -1/6 binary64))) y)) y) (log.f64 (neg.f64 x)))) |
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y)) |
(/.f64 (fma.f64 x (/.f64 x y) (neg.f64 x)) (neg.f64 y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y)) |
(/.f64 (-.f64 (neg.f64 x) (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (*.f64 x x)) y)) (neg.f64 y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y)) |
(/.f64 (-.f64 (neg.f64 x) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) (neg.f64 y)) (*.f64 x x)) y)) (neg.f64 y)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 39 |
| 0 | 14 | 39 |
| 1 | 44 | 35 |
| 2 | 236 | 35 |
| 3 | 2118 | 35 |
| 0 | 8377 | 35 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) |
(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) |
(*.f64 x (log.f64 (/.f64 x (+.f64 x y)))) |
(log.f64 (/.f64 x (+.f64 x y))) |
(/.f64 x (+.f64 x y)) |
| Outputs |
|---|
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)))) (neg.f64 (neg.f64 (sqrt.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))))) |
(*.f64 (pow.f64 (pow.f64 (/.f64 (/.f64 x (+.f64 y x)) (-.f64 x y)) (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (pow.f64 (-.f64 x y) (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (pow.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (/.f64 x (*.f64 (+.f64 y x) (-.f64 y x))) (*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64)))) (pow.f64 (-.f64 y x) (*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64))))) |
(*.f64 (pow.f64 (/.f64 (/.f64 x (+.f64 y x)) (-.f64 x y)) (*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64)))) (pow.f64 (-.f64 x y) (*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64))))) |
(*.f64 (pow.f64 (-.f64 x y) (*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64)))) (pow.f64 (/.f64 (/.f64 x (+.f64 y x)) (-.f64 x y)) (*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64))))) |
(*.f64 (pow.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64)))) (pow.f64 (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x))) (*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64))))) |
(*.f64 (pow.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64)))) (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64))))) |
(*.f64 (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64)))) (pow.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64))))) |
(*.f64 (pow.f64 (/.f64 x (*.f64 (+.f64 y x) (-.f64 y x))) (/.f64 (+.f64 x x) #s(literal 2 binary64))) (pow.f64 (-.f64 y x) (/.f64 (+.f64 x x) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (/.f64 (/.f64 x (+.f64 y x)) (-.f64 x y)) (/.f64 (+.f64 x x) #s(literal 2 binary64))) (pow.f64 (-.f64 x y) (/.f64 (+.f64 x x) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (-.f64 x y) (/.f64 (+.f64 x x) #s(literal 2 binary64))) (pow.f64 (/.f64 (/.f64 x (+.f64 y x)) (-.f64 x y)) (/.f64 (+.f64 x x) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (+.f64 x x) #s(literal 2 binary64))) (pow.f64 (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x))) (/.f64 (+.f64 x x) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (+.f64 x x) #s(literal 2 binary64))) (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (/.f64 (+.f64 x x) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (/.f64 (+.f64 x x) #s(literal 2 binary64))) (pow.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (+.f64 x x) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (/.f64 x (*.f64 (+.f64 y x) (-.f64 y x))) x) (pow.f64 (-.f64 y x) x)) |
(*.f64 (pow.f64 (exp.f64 x) (log.f64 (/.f64 (/.f64 x (+.f64 y x)) (-.f64 x y)))) (pow.f64 (exp.f64 x) (log.f64 (-.f64 x y)))) |
(*.f64 (pow.f64 (exp.f64 x) (log.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) (pow.f64 (exp.f64 x) (log.f64 (fma.f64 (-.f64 y x) y (*.f64 x x))))) |
(*.f64 (neg.f64 (sqrt.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))) (neg.f64 (sqrt.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)))) |
(*.f64 (pow.f64 (-.f64 x y) x) (pow.f64 (/.f64 (/.f64 x (+.f64 y x)) (-.f64 x y)) x)) |
(*.f64 (pow.f64 (/.f64 (/.f64 x (+.f64 y x)) (-.f64 x y)) x) (pow.f64 (-.f64 x y) x)) |
(*.f64 (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) x) (pow.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) x)) |
(*.f64 (pow.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) x) (pow.f64 (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x))) x)) |
(*.f64 (pow.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) x) (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) x)) |
(*.f64 (sqrt.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)) (sqrt.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))) |
(pow.f64 (neg.f64 (sqrt.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (log.f64 (/.f64 x (+.f64 y x))) #s(literal 2 binary64))) |
(pow.f64 (pow.f64 (/.f64 x (+.f64 y x)) #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64))) |
(pow.f64 (sqrt.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (/.f64 x (+.f64 y x)) (neg.f64 x)) #s(literal -1 binary64)) |
(pow.f64 (exp.f64 x) (*.f64 (/.f64 (log.f64 (/.f64 x (+.f64 y x))) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(pow.f64 (exp.f64 x) (*.f64 #s(literal 2 binary64) (/.f64 (log.f64 (/.f64 x (+.f64 y x))) #s(literal 2 binary64)))) |
(pow.f64 (exp.f64 x) (/.f64 (+.f64 (log.f64 (/.f64 x (+.f64 y x))) (log.f64 (/.f64 x (+.f64 y x)))) #s(literal 2 binary64))) |
(pow.f64 (exp.f64 x) (log.f64 (/.f64 x (+.f64 y x)))) |
(pow.f64 (/.f64 x (+.f64 y x)) (*.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) |
(pow.f64 (/.f64 x (+.f64 y x)) (*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64)))) |
(pow.f64 (/.f64 x (+.f64 y x)) (/.f64 (+.f64 x x) #s(literal 2 binary64))) |
(pow.f64 (/.f64 x (+.f64 y x)) x) |
(/.f64 (+.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))))) (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)))))) #s(literal -2 binary64)) |
(/.f64 (+.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))))) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)))))) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))) #s(literal 2 binary64)) (pow.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))) (cosh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))) (*.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)))))) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))) (*.f64 #s(literal 2 binary64) (sinh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)))))) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))))))) #s(literal -4 binary64)) |
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))))))) #s(literal -4 binary64)) |
(/.f64 (neg.f64 (pow.f64 (exp.f64 x) (log.f64 (neg.f64 x)))) (neg.f64 (pow.f64 (exp.f64 x) (log.f64 (+.f64 y x))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (-.f64 (cosh.f64 (fma.f64 (log.f64 (/.f64 x (+.f64 y x))) x (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)))) (*.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))) (cosh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)))))))) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 (exp.f64 x) (log.f64 x)))) (neg.f64 (neg.f64 (pow.f64 (exp.f64 x) (log.f64 (+.f64 y x)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))) #s(literal 2 binary64)) (pow.f64 (/.f64 x (+.f64 y x)) (neg.f64 x))) (*.f64 (pow.f64 (/.f64 x (+.f64 y x)) (neg.f64 x)) (pow.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))) #s(literal 2 binary64)))) (pow.f64 (pow.f64 (/.f64 x (+.f64 y x)) (neg.f64 x)) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (pow.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))) #s(literal 3 binary64)) (-.f64 (cosh.f64 (fma.f64 (log.f64 (/.f64 x (+.f64 y x))) x (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)))) (*.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))) (cosh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))))) (*.f64 (-.f64 (cosh.f64 (fma.f64 (log.f64 (/.f64 x (+.f64 y x))) x (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)))) (*.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))) (cosh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))))) (pow.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))) #s(literal 3 binary64)))) (*.f64 (-.f64 (cosh.f64 (fma.f64 (log.f64 (/.f64 x (+.f64 y x))) x (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)))) (*.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))) (cosh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))))) (-.f64 (cosh.f64 (fma.f64 (log.f64 (/.f64 x (+.f64 y x))) x (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)))) (*.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))) (cosh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))))))) |
(/.f64 (fma.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))))) #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))))))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))))) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)))))) #s(literal -4 binary64)) |
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)))) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))))))) #s(literal -4 binary64)) |
(/.f64 (fma.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))))) #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))))))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))))) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)))))) #s(literal -4 binary64)) |
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)))) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))))))) #s(literal -4 binary64)) |
(/.f64 (exp.f64 (log.f64 (+.f64 (pow.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))) #s(literal 3 binary64))))) (exp.f64 (log.f64 (-.f64 (cosh.f64 (fma.f64 (log.f64 (/.f64 x (+.f64 y x))) x (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)))) (*.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))) (cosh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)))))))) |
(/.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64))) (pow.f64 (exp.f64 x) (log.f64 (+.f64 y x)))) |
(/.f64 (pow.f64 (exp.f64 x) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 (+.f64 y x) x)))) (pow.f64 (exp.f64 x) (/.f64 (pow.f64 (log.f64 (+.f64 y x)) #s(literal 2 binary64)) (log.f64 (*.f64 (+.f64 y x) x))))) |
(/.f64 (pow.f64 (exp.f64 x) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (fma.f64 (log.f64 (+.f64 y x)) (log.f64 (*.f64 (+.f64 y x) x)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) (pow.f64 (exp.f64 x) (/.f64 (pow.f64 (log.f64 (+.f64 y x)) #s(literal 3 binary64)) (fma.f64 (log.f64 (+.f64 y x)) (log.f64 (*.f64 (+.f64 y x) x)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))) #s(literal 2 binary64)) (pow.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))) #s(literal 2 binary64))) (-.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))) (cosh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))))) |
(/.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))) (*.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))))) #s(literal 2 binary64)) |
(/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))) (*.f64 #s(literal 2 binary64) (sinh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))))) #s(literal 2 binary64)) |
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(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)))) x (*.f64 (*.f64 #s(literal 2 binary64) x) (cosh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))))) (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
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(/.f64 (fma.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))) x (*.f64 x (cosh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))))) (*.f64 x x)) |
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(/.f64 (fma.f64 (neg.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)))) x (*.f64 (neg.f64 x) (sinh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))))) (*.f64 (neg.f64 x) x)) |
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(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)))) (*.f64 #s(literal 2 binary64) x) (*.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) (sinh.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)))))) (*.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) x))) |
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(/.f64 (pow.f64 (exp.f64 x) (log.f64 x)) (*.f64 (pow.f64 (exp.f64 x) (log.f64 (+.f64 y x))) x)) |
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(*.f64 (*.f64 #s(literal 2 binary64) (/.f64 (log.f64 (/.f64 x (+.f64 y x))) #s(literal 2 binary64))) x) |
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(*.f64 (/.f64 (+.f64 (log.f64 (/.f64 x (+.f64 y x))) (log.f64 (/.f64 x (+.f64 y x)))) #s(literal 2 binary64)) x) |
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(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)))) |
(*.f64 (log.f64 (/.f64 x (+.f64 y x))) x) |
(*.f64 x (log.f64 (/.f64 x (+.f64 y x)))) |
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(/.f64 (*.f64 (/.f64 (/.f64 x (+.f64 y x)) (-.f64 x y)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 y (+.f64 y x) (*.f64 x x))) |
(/.f64 (*.f64 (/.f64 (/.f64 x (+.f64 y x)) (-.f64 x y)) (*.f64 (-.f64 x y) (+.f64 y x))) (+.f64 y x)) |
(/.f64 (*.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 y x) y) #s(literal 2 binary64)))) (-.f64 (*.f64 x x) (*.f64 (-.f64 y x) y))) |
(/.f64 (*.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 (-.f64 y x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 y x) y) (-.f64 (*.f64 (-.f64 y x) y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) |
(/.f64 (*.f64 x (fma.f64 (-.f64 y x) y (*.f64 x x))) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
(/.f64 (*.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (fma.f64 y (+.f64 y x) (*.f64 x x)))) |
(/.f64 (*.f64 x (*.f64 (-.f64 x y) (+.f64 y x))) (*.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (+.f64 y x))) |
(/.f64 (*.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 y x) y) #s(literal 2 binary64)))) (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (*.f64 x x) (*.f64 (-.f64 y x) y)))) |
(/.f64 (*.f64 x (+.f64 (pow.f64 (*.f64 (-.f64 y x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 (-.f64 y x) y) (-.f64 (*.f64 (-.f64 y x) y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))) |
(/.f64 (*.f64 x (-.f64 x y)) (*.f64 (-.f64 x y) (+.f64 y x))) |
(/.f64 (neg.f64 x) (+.f64 y x)) |
(/.f64 x (+.f64 y x)) |
(neg.f64 (/.f64 x (+.f64 y x))) |
(fma.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (-.f64 y x) y) (*.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x))) |
(fma.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x) (*.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (-.f64 y x) y))) |
(fma.f64 (*.f64 (-.f64 y x) y) (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (*.f64 x x) (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) |
(fma.f64 (*.f64 x x) (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (*.f64 (-.f64 y x) y) (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) |
(exp.f64 (log.f64 (/.f64 x (+.f64 y x)))) |
(+.f64 (*.f64 (*.f64 (-.f64 y x) y) (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (*.f64 x x) (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) |
(+.f64 (*.f64 (*.f64 x x) (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (*.f64 (-.f64 y x) y) (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) |
(+.f64 (*.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (-.f64 y x) y)) (*.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x))) |
(+.f64 (*.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x)) (*.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (-.f64 y x) y))) |
(+.f64 (cosh.f64 (log.f64 (/.f64 x (+.f64 y x)))) (sinh.f64 (log.f64 (/.f64 x (+.f64 y x))))) |
Compiled 10 838 to 1 743 computations (83.9% saved)
8 alts after pruning (8 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 337 | 8 | 345 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 338 | 8 | 346 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 74.8% | (/.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) x) |
| ▶ | 84.3% | (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) |
| ▶ | 56.1% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) |
| ▶ | 62.0% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) |
| 60.6% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) x) | |
| ▶ | 76.1% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) |
| 53.2% | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) #s(literal 1/2 binary64)) x) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) y) (/.f64 #s(literal 1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))) | |
| 52.5% | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal -1/2 binary64) x)) y) (/.f64 #s(literal 1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))) |
Compiled 382 to 254 computations (33.5% 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))))) (fma.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) | |
| cost-diff | 0 | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) | |
| cost-diff | 1 | (*.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y) | |
| cost-diff | 2 | (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) | |
| cost-diff | 0 | (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) | |
| cost-diff | 0 | (fma.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) | |
| cost-diff | 0 | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) | |
| cost-diff | 0 | #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) | |
| cost-diff | 0 | (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 | 40 | 388 |
| 0 | 67 | 388 |
| 1 | 100 | 362 |
| 2 | 190 | 362 |
| 3 | 431 | 362 |
| 4 | 1087 | 362 |
| 5 | 5033 | 362 |
| 0 | 8591 | 357 |
| 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 |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) |
(fma.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) |
(*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y) |
(+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
y |
#s(literal 1 binary64) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) |
(fma.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(-.f64 (*.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) |
(*.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y) |
(fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) |
(-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) |
(-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) |
#s(literal 1/6 binary64) |
(/.f64 #s(literal -1/3 binary64) (*.f64 x x)) |
#s(literal -1/3 binary64) |
(*.f64 x x) |
x |
(/.f64 #s(literal -1/2 binary64) x) |
#s(literal -1/2 binary64) |
(neg.f64 y) |
y |
(+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(/.f64 (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 |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) |
(fma.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) |
(*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y) |
(+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
y |
#s(literal 1 binary64) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 y (-.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) x)) y (/.f64 #s(literal -1/2 binary64) x)))) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) |
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 y (-.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) x)) y (/.f64 #s(literal -1/2 binary64) x)))) #s(literal 1 binary64)) y #s(literal 1 binary64))) |
(fma.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(fma.f64 (-.f64 (*.f64 y (-.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) x)) y (/.f64 #s(literal -1/2 binary64) x)))) #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(-.f64 (*.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) |
(-.f64 (*.f64 y (-.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) x)) y (/.f64 #s(literal -1/2 binary64) x)))) #s(literal 1 binary64)) |
(*.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y) |
(*.f64 y (-.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) x)) y (/.f64 #s(literal -1/2 binary64) x)))) |
(fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) |
(fma.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) |
(-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) |
(-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) x)) |
(-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) |
#s(literal 1/6 binary64) |
(/.f64 #s(literal -1/3 binary64) (*.f64 x x)) |
#s(literal -1/3 binary64) |
(*.f64 x x) |
x |
(/.f64 #s(literal -1/2 binary64) x) |
#s(literal -1/2 binary64) |
(neg.f64 y) |
y |
(+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(/.f64 (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 | 0.0 | (+.f64 y x) | |
| accuracy | 0.00390625 | (/.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) x) | |
| accuracy | 0.01953125 | (/.f64 x (+.f64 y x)) | |
| accuracy | 16.337136247946788 | (pow.f64 (/.f64 x (+.f64 y x)) x) | |
| accuracy | 0.8119576654384303 | (/.f64 #s(literal -1/3 binary64) (*.f64 x x)) | |
| accuracy | 1.3066569474168355 | (*.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y) | |
| accuracy | 3.983671702862967 | (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) | |
| accuracy | 24.037679374130413 | #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) | |
| accuracy | 0.00390625 | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) | |
| accuracy | 0.0078125 | (fma.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) | |
| accuracy | 0.1328125 | (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y) | |
| accuracy | 24.303305710772683 | #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) | |
| accuracy | 0.00390625 | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) | |
| accuracy | 15.462344917926309 | #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) | |
| accuracy | 0.0 | (neg.f64 y) | |
| accuracy | 0.0 | (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) | |
| accuracy | 0.00390625 | (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) | |
| accuracy | 17.18858242466919 | #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)) |
| 396.0ms | 139× | 1 | valid |
| 41.0ms | 40× | 2 | valid |
| 21.0ms | 77× | 0 | valid |
Compiled 691 to 77 computations (88.9% saved)
ival-mult: 314.0ms (74% of total)ival-log: 23.0ms (5.4% of total)ival-div: 18.0ms (4.2% of total)adjust: 17.0ms (4% of total)ival-add: 15.0ms (3.5% of total)ival-pow: 15.0ms (3.5% of total)const: 9.0ms (2.1% of total)ival-sub: 7.0ms (1.6% of total)ival-exp: 4.0ms (0.9% of total)ival-neg: 1.0ms (0.2% 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 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) |
(fma.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) |
(-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) |
(*.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) |
(/.f64 (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 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y) |
(fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) |
(/.f64 #s(literal -1/3 binary64) (*.f64 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)))))) |
(* 1/2 (/ (pow y 2) x)) |
(/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) x) |
(* 1/2 (/ y x)) |
(/ (+ (* 1/2 y) (* x (- (* 1/2 y) 1))) x) |
(/ 1/3 (pow x 2)) |
(/ (+ 1/3 (* 1/2 x)) (pow x 2)) |
(/ (+ 1/3 (* x (+ 1/2 (* 1/6 x)))) (pow x 2)) |
(* -1/3 (/ (pow y 2) (pow x 2))) |
(/ (+ (* -1/3 (pow y 2)) (* x (* y (+ 1/2 (* -1/2 y))))) (pow x 2)) |
(/ (+ (* -1/3 (pow y 2)) (* x (+ (* x (* y (+ 1/2 (* -1/6 y)))) (* y (+ 1/2 (* -1/2 y)))))) (pow x 2)) |
(/ x y) |
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y))) |
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y))) |
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))) |
y |
(+ x y) |
(/ (+ (* 1/2 y) (* 1/2 (* x y))) x) |
(* -1/3 (/ y (pow x 2))) |
(/ (+ (* -1/3 y) (* x (+ 1/2 (* -1/2 y)))) (pow x 2)) |
(/ (+ (* -1/3 y) (* x (+ 1/2 (+ (* -1/2 y) (* x (+ 1/2 (* -1/6 y))))))) (pow x 2)) |
(/ -1/3 (pow 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 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 (- (* 1/2 y) 1))) |
(+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1)))) |
(- (* 1/2 y) 1) |
(- (+ (* 1/2 y) (* 1/2 (/ y x))) 1) |
1/6 |
(+ 1/6 (* 1/2 (/ 1 x))) |
(+ 1/6 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) |
(* y (+ 1/2 (* -1/6 y))) |
(+ (* y (+ 1/2 (* -1/6 y))) (/ (* y (+ 1/2 (* -1/2 y))) x)) |
(+ (* -1/3 (/ (pow y 2) (pow x 2))) (+ (* y (+ 1/2 (* -1/6 y))) (/ (* y (+ 1/2 (* -1/2 y))) x))) |
(+ 1 (* -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))) |
(* 1/2 y) |
(+ (* 1/2 y) (* 1/2 (/ y x))) |
(+ 1/2 (* -1/6 y)) |
(+ 1/2 (+ (* -1/2 (/ y x)) (+ (* -1/6 y) (* 1/2 (/ 1 x))))) |
(+ 1/2 (+ (* -1/2 (/ y x)) (+ (* -1/3 (/ y (pow x 2))) (+ (* -1/6 y) (* 1/2 (/ 1 x)))))) |
(* -1 (/ (+ (* -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 (/ (* y (- (* 1/2 y) 1/2)) x)) (* y (+ 1/2 (* -1/6 y)))) |
(+ (* -1 (/ (+ (* 1/3 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1/2))) x)) (* y (+ 1/2 (* -1/6 y)))) |
(+ 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))) |
(+ 1/2 (+ (* -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 (/ 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 |
(- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1) |
(* y (+ 1/2 (* 1/2 (/ 1 x)))) |
(* y (+ 1/2 (+ (* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) (* 1/2 (/ 1 x))))) |
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x)))) |
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 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)))) |
(/ (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))))))) |
(* (pow y 2) (+ 1/2 (* 1/2 (/ 1 x)))) |
(* (pow y 2) (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1 y))) |
(* (pow y 2) (- (+ 1/2 (+ (* 1/2 (/ 1 x)) (/ 1 (pow y 2)))) (/ 1 y))) |
(* y (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1 y))) |
(* -1 (* (pow y 2) (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) |
(* (pow y 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (+ (/ 1/2 (* x y)) (* 1/2 (/ 1 y))))) |
(/ (+ 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))) |
(* -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))))) |
(/ (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))))) |
(* (pow y 2) (+ 1/2 (+ (* -1 (/ (- 1 (/ 1 y)) y)) (* 1/2 (/ 1 x))))) |
(* -1 (* y (+ (* -1 (+ 1/2 (* 1/2 (/ 1 x)))) (/ 1 y)))) |
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y)) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (+ 1/6 (+ (* -1 (/ (+ 1/2 (* 1/2 (/ 1 x))) y)) (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 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))))) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (- (* (+ (/ 1/2 x) 1/2) y) 1) (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) y) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (/ (pow (/ x (+ y x)) x) x) (pow (/ x (+ y x)) x) (/ x (+ y x)) (+ y x) (* (+ (/ 1/2 x) 1/2) y) (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (/ -1/3 (* x x))) |
| 4.0ms | 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))))) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (- (* (+ (/ 1/2 x) 1/2) y) 1) (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) y) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (/ (pow (/ x (+ y x)) x) x) (pow (/ x (+ y x)) x) (/ x (+ y x)) (+ y x) (* (+ (/ 1/2 x) 1/2) y) (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (/ -1/3 (* 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))))) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (- (* (+ (/ 1/2 x) 1/2) y) 1) (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) y) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (/ (pow (/ x (+ y x)) x) x) (pow (/ x (+ y x)) x) (/ x (+ y x)) (+ y x) (* (+ (/ 1/2 x) 1/2) y) (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (/ -1/3 (* 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))))) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (- (* (+ (/ 1/2 x) 1/2) y) 1) (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) y) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (/ (pow (/ x (+ y x)) x) x) (pow (/ x (+ y x)) x) (/ x (+ y x)) (+ y x) (* (+ (/ 1/2 x) 1/2) y) (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (/ -1/3 (* x x))) |
| 3.0ms | y | @ | 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))))) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (- (* (+ (/ 1/2 x) 1/2) y) 1) (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) y) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (/ (pow (/ x (+ y x)) x) x) (pow (/ x (+ y x)) x) (/ x (+ y x)) (+ y x) (* (+ (/ 1/2 x) 1/2) y) (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (/ -1/3 (* x x))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 612 | 3310 |
| 1 | 2194 | 2932 |
| 0 | 8639 | 2783 |
| 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)))))) |
(* 1/2 (/ (pow y 2) x)) |
(/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) x) |
(* 1/2 (/ y x)) |
(/ (+ (* 1/2 y) (* x (- (* 1/2 y) 1))) x) |
(/ 1/3 (pow x 2)) |
(/ (+ 1/3 (* 1/2 x)) (pow x 2)) |
(/ (+ 1/3 (* x (+ 1/2 (* 1/6 x)))) (pow x 2)) |
(* -1/3 (/ (pow y 2) (pow x 2))) |
(/ (+ (* -1/3 (pow y 2)) (* x (* y (+ 1/2 (* -1/2 y))))) (pow x 2)) |
(/ (+ (* -1/3 (pow y 2)) (* x (+ (* x (* y (+ 1/2 (* -1/6 y)))) (* y (+ 1/2 (* -1/2 y)))))) (pow x 2)) |
(/ x y) |
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y))) |
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y))) |
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))) |
y |
(+ x y) |
(/ (+ (* 1/2 y) (* 1/2 (* x y))) x) |
(* -1/3 (/ y (pow x 2))) |
(/ (+ (* -1/3 y) (* x (+ 1/2 (* -1/2 y)))) (pow x 2)) |
(/ (+ (* -1/3 y) (* x (+ 1/2 (+ (* -1/2 y) (* x (+ 1/2 (* -1/6 y))))))) (pow x 2)) |
(/ -1/3 (pow 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 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 (- (* 1/2 y) 1))) |
(+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1)))) |
(- (* 1/2 y) 1) |
(- (+ (* 1/2 y) (* 1/2 (/ y x))) 1) |
1/6 |
(+ 1/6 (* 1/2 (/ 1 x))) |
(+ 1/6 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) |
(* y (+ 1/2 (* -1/6 y))) |
(+ (* y (+ 1/2 (* -1/6 y))) (/ (* y (+ 1/2 (* -1/2 y))) x)) |
(+ (* -1/3 (/ (pow y 2) (pow x 2))) (+ (* y (+ 1/2 (* -1/6 y))) (/ (* y (+ 1/2 (* -1/2 y))) x))) |
(+ 1 (* -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))) |
(* 1/2 y) |
(+ (* 1/2 y) (* 1/2 (/ y x))) |
(+ 1/2 (* -1/6 y)) |
(+ 1/2 (+ (* -1/2 (/ y x)) (+ (* -1/6 y) (* 1/2 (/ 1 x))))) |
(+ 1/2 (+ (* -1/2 (/ y x)) (+ (* -1/3 (/ y (pow x 2))) (+ (* -1/6 y) (* 1/2 (/ 1 x)))))) |
(* -1 (/ (+ (* -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 (/ (* y (- (* 1/2 y) 1/2)) x)) (* y (+ 1/2 (* -1/6 y)))) |
(+ (* -1 (/ (+ (* 1/3 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1/2))) x)) (* y (+ 1/2 (* -1/6 y)))) |
(+ 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))) |
(+ 1/2 (+ (* -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 (/ 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 |
(- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1) |
(* y (+ 1/2 (* 1/2 (/ 1 x)))) |
(* y (+ 1/2 (+ (* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) (* 1/2 (/ 1 x))))) |
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x)))) |
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 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)))) |
(/ (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))))))) |
(* (pow y 2) (+ 1/2 (* 1/2 (/ 1 x)))) |
(* (pow y 2) (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1 y))) |
(* (pow y 2) (- (+ 1/2 (+ (* 1/2 (/ 1 x)) (/ 1 (pow y 2)))) (/ 1 y))) |
(* y (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1 y))) |
(* -1 (* (pow y 2) (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) |
(* (pow y 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (+ (/ 1/2 (* x y)) (* 1/2 (/ 1 y))))) |
(/ (+ 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))) |
(* -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))))) |
(/ (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))))) |
(* (pow y 2) (+ 1/2 (+ (* -1 (/ (- 1 (/ 1 y)) y)) (* 1/2 (/ 1 x))))) |
(* -1 (* y (+ (* -1 (+ 1/2 (* 1/2 (/ 1 x)))) (/ 1 y)))) |
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y)) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (+ 1/6 (+ (* -1 (/ (+ 1/2 (* 1/2 (/ 1 x))) y)) (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))) |
| Outputs |
|---|
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (* x (+ (log x) (log (/ 1 y))))) x) |
(/.f64 (fma.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) x #s(literal 1 binary64)) x) |
(/ (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y))))))) x) |
(/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) y)) x (+.f64 (neg.f64 (log.f64 y)) (log.f64 x))) x #s(literal 1 binary64)) x) |
(/ (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (* x (+ (* -1 (/ (+ (log x) (log (/ 1 y))) y)) (+ (* 1/6 (pow (+ (log x) (log (/ 1 y))) 3)) (* 1/2 (/ 1 (pow y 2))))))) (/ 1 y))))))) x) |
(/.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) #s(literal 3 binary64)) #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) (neg.f64 y)))) x (*.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) y)) x (+.f64 (neg.f64 (log.f64 y)) (log.f64 x))) x #s(literal 1 binary64)) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* x (+ (log x) (log (/ 1 y))))) |
(fma.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) x #s(literal 1 binary64)) |
(+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y))))))) |
(fma.f64 (fma.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) y)) x (+.f64 (neg.f64 (log.f64 y)) (log.f64 x))) x #s(literal 1 binary64)) |
(+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (* x (+ (* -1 (/ (+ (log x) (log (/ 1 y))) y)) (+ (* 1/6 (pow (+ (log x) (log (/ 1 y))) 3)) (* 1/2 (/ 1 (pow y 2))))))) (/ 1 y))))))) |
(fma.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) #s(literal 3 binary64)) #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) (neg.f64 y)))) x (*.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) y)) x (+.f64 (neg.f64 (log.f64 y)) (log.f64 x))) x #s(literal 1 binary64)) |
(* x (+ (log x) (log (/ 1 y)))) |
(*.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) x) |
(* x (+ (log x) (+ (log (/ 1 y)) (* -1 (/ x y))))) |
(*.f64 (-.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) (/.f64 x y)) x) |
(* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (/ x (pow y 2))) (/ 1 y)))))) |
(*.f64 (fma.f64 (-.f64 (*.f64 (/.f64 x (*.f64 y y)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) y)) x (+.f64 (neg.f64 (log.f64 y)) (log.f64 x))) x) |
(* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* x (+ (* -1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y)))))) |
(*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (/.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 (neg.f64 (log.f64 y)) (log.f64 x))) x) |
(* 1/2 (/ (pow y 2) x)) |
(*.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) |
(/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) x) |
(/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x) |
(* 1/2 (/ y x)) |
(*.f64 (/.f64 y x) #s(literal 1/2 binary64)) |
(/ (+ (* 1/2 y) (* x (- (* 1/2 y) 1))) x) |
(/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) x (*.f64 #s(literal 1/2 binary64) y)) x) |
(/ 1/3 (pow x 2)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 x x)) |
(/ (+ 1/3 (* 1/2 x)) (pow x 2)) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/3 binary64)) (*.f64 x x)) |
(/ (+ 1/3 (* x (+ 1/2 (* 1/6 x)))) (pow x 2)) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) (*.f64 x x)) |
(* -1/3 (/ (pow y 2) (pow x 2))) |
(*.f64 (/.f64 #s(literal -1/3 binary64) x) (/.f64 (*.f64 y y) x)) |
(/ (+ (* -1/3 (pow y 2)) (* x (* y (+ 1/2 (* -1/2 y))))) (pow x 2)) |
(/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x (*.f64 #s(literal -1/3 binary64) (*.f64 y y))) (*.f64 x x)) |
(/ (+ (* -1/3 (pow y 2)) (* x (+ (* x (* y (+ 1/2 (* -1/6 y)))) (* y (+ 1/2 (* -1/2 y)))))) (pow x 2)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) y) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x (*.f64 #s(literal -1/3 binary64) (*.f64 y y))) (*.f64 x x)) |
(/ x y) |
(/.f64 x y) |
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y))) |
(*.f64 (fma.f64 (/.f64 x (*.f64 y y)) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) x) |
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y))) |
(*.f64 (fma.f64 (-.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y y))) x (/.f64 #s(literal 1 binary64) y)) x) |
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))) |
(*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) x) (/.f64 #s(literal 1 binary64) (*.f64 y y))) x (/.f64 #s(literal 1 binary64) y)) x) |
y |
(+ x y) |
(+.f64 y x) |
(/ (+ (* 1/2 y) (* 1/2 (* x y))) x) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y x y)) x) |
(* -1/3 (/ y (pow x 2))) |
(*.f64 (/.f64 y (*.f64 x x)) #s(literal -1/3 binary64)) |
(/ (+ (* -1/3 y) (* x (+ 1/2 (* -1/2 y)))) (pow x 2)) |
(/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) x (*.f64 #s(literal -1/3 binary64) y)) (*.f64 x x)) |
(/ (+ (* -1/3 y) (* x (+ 1/2 (+ (* -1/2 y) (* x (+ 1/2 (* -1/6 y))))))) (pow x 2)) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) x (*.f64 #s(literal -1/3 binary64) y)) (*.f64 x x)) |
(/ -1/3 (pow x 2)) |
(/.f64 #s(literal -1/3 binary64) (*.f64 x x)) |
(/ (exp (* -1 y)) x) |
(/.f64 (exp.f64 (neg.f64 y)) x) |
(/ (+ (exp (* -1 y)) (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) x) |
(/.f64 (fma.f64 (exp.f64 (neg.f64 y)) (*.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 y))) x) |
(/ (+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2)))) x) |
(/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/6 binary64) (*.f64 (pow.f64 (*.f64 y y) #s(literal 2 binary64)) #s(literal 1/8 binary64))) x) (/.f64 (exp.f64 (neg.f64 y)) x) (fma.f64 (exp.f64 (neg.f64 y)) (*.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 y)))) x) |
(/ (+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (+ (/ (* (exp (* -1 y)) (+ (* 1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (+ (* 1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) (pow x 3)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2))))) x) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 y))) (/.f64 (*.f64 y y) x) (fma.f64 (exp.f64 (neg.f64 y)) (+.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal 1/48 binary64) (fma.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 y y)) (*.f64 #s(literal -2 binary64) (pow.f64 y #s(literal 3 binary64))) (*.f64 (fma.f64 #s(literal -24 binary64) (pow.f64 y #s(literal 4 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 30 binary64))) #s(literal 1/24 binary64)))) (pow.f64 x #s(literal 3 binary64))) (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/6 binary64) (*.f64 (pow.f64 (*.f64 y y) #s(literal 2 binary64)) #s(literal 1/8 binary64))) (*.f64 x x))) (exp.f64 (neg.f64 y)))) x) |
(exp (* -1 y)) |
(exp.f64 (neg.f64 y)) |
(+ (exp (* -1 y)) (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) |
(fma.f64 (exp.f64 (neg.f64 y)) (*.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 y))) |
(+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2)))) |
(fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/6 binary64) (*.f64 (pow.f64 (*.f64 y y) #s(literal 2 binary64)) #s(literal 1/8 binary64))) x) (/.f64 (exp.f64 (neg.f64 y)) x) (fma.f64 (exp.f64 (neg.f64 y)) (*.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 y)))) |
(+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (+ (/ (* (exp (* -1 y)) (+ (* 1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (+ (* 1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) (pow x 3)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2))))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 y))) (/.f64 (*.f64 y y) x) (fma.f64 (exp.f64 (neg.f64 y)) (+.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal 1/48 binary64) (fma.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 y y)) (*.f64 #s(literal -2 binary64) (pow.f64 y #s(literal 3 binary64))) (*.f64 (fma.f64 #s(literal -24 binary64) (pow.f64 y #s(literal 4 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 30 binary64))) #s(literal 1/24 binary64)))) (pow.f64 x #s(literal 3 binary64))) (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/6 binary64) (*.f64 (pow.f64 (*.f64 y y) #s(literal 2 binary64)) #s(literal 1/8 binary64))) (*.f64 x x))) (exp.f64 (neg.f64 y)))) |
(* -1 y) |
(neg.f64 y) |
(+ (* -1 y) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) x))) |
(fma.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64) (neg.f64 y)) |
(+ (* -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)))) |
(fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) (pow.f64 y #s(literal 3 binary64))) x) (/.f64 #s(literal 1/6 binary64) x) (fma.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64) (neg.f64 y))) |
(+ (* -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))))) |
(fma.f64 (/.f64 (fma.f64 #s(literal -24 binary64) (pow.f64 y #s(literal 4 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 30 binary64))) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/24 binary64) (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) (pow.f64 y #s(literal 3 binary64))) x) (/.f64 #s(literal 1/6 binary64) x) (fma.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64) (neg.f64 y)))) |
(+ 1 (* y (- (* 1/2 y) 1))) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1)))) |
(fma.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) |
(- (* 1/2 y) 1) |
(-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) |
(- (+ (* 1/2 y) (* 1/2 (/ y x))) 1) |
(-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 y x) y)) #s(literal 1 binary64)) |
1/6 |
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(+ (* -1 (/ (pow x 2) y)) (* x (+ (log x) (log (/ 1 y))))) |
(fma.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) x (/.f64 (*.f64 (neg.f64 x) x) 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)))))) |
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 #s(literal 1/2 binary64) y) (fma.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) x (/.f64 (*.f64 (neg.f64 x) x) 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))))))) |
(fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)) x) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/6 binary64) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 #s(literal 1/2 binary64) y) (fma.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) x (/.f64 (*.f64 (neg.f64 x) x) y)))) |
(* (pow y 2) (+ 1/2 (* 1/2 (/ 1 x)))) |
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y) y) |
(* (pow y 2) (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1 y))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) y)) (*.f64 y y)) |
(* (pow y 2) (- (+ 1/2 (+ (* 1/2 (/ 1 x)) (/ 1 (pow y 2)))) (/ 1 y))) |
(*.f64 (-.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) y)) (*.f64 y y)) |
(* y (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1 y))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) y)) y) |
(* -1 (* (pow y 2) (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) |
(*.f64 (neg.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.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))))) (+ (/ 1/2 (* x y)) (* 1/2 (/ 1 y))))) |
(*.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)) #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y)) (*.f64 y y)) |
(/ (+ x (* -1 (/ (pow x 2) y))) y) |
(/.f64 (-.f64 x (/.f64 (*.f64 x x) y)) y) |
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y) |
(/.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 y y)) (-.f64 x (/.f64 (*.f64 x x) y))) y) |
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y) |
(/.f64 (-.f64 (-.f64 x (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 (*.f64 x x) y))) y) |
(* y (+ 1 (/ x y))) |
(fma.f64 (/.f64 x y) y y) |
(* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) |
(*.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) x)) (neg.f64 y)) |
(* y (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (+ (/ 1/2 (* x y)) (* 1/2 (/ 1 y))))) |
(*.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)) #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #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 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) x) |
(+ (* -1 (/ (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x)) |
(fma.f64 (neg.f64 x) (/.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) y) (/.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) x)) |
(+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x y))) (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x)) |
(fma.f64 (/.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) (neg.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) 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 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) x)) y) #s(literal -1 binary64) (/.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) x)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3)))))) (+ (* 1/6 (pow x 6)) (* 1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))))) (* x y))) (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) x)) y)) (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x)) |
(fma.f64 (/.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) x (/.f64 (fma.f64 (/.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) x) (neg.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)) x (pow.f64 x #s(literal 6 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (pow.f64 x #s(literal 3 binary64)))) y)) (*.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64)))) x))) (neg.f64 y))) y) #s(literal -1 binary64) (/.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) x)) |
(exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) |
(pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) |
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))) y))) |
(fma.f64 (*.f64 (neg.f64 x) x) (/.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) y) (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x))))) |
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) y)) (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y))) |
(-.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) (/.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) (*.f64 x x) (/.f64 (*.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 y))) y)) |
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3)))))) (+ (* 1/6 (pow x 6)) (* 1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))))) y)) (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4))))) y)) (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y))) |
(-.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) (/.f64 (fma.f64 (*.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) x) x (/.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) (neg.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)) x (pow.f64 x #s(literal 6 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (pow.f64 x #s(literal 3 binary64)))) y)) (*.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64)))))) (neg.f64 y))) 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 (*.f64 (neg.f64 x) x) y)) |
(+ (* -1 (/ (+ (* -1/2 (/ (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2)))) y)) (pow x 2)) y)) (* x (+ (log (* -1 x)) (log (/ -1 y))))) |
(fma.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x))) x (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) #s(literal -1/2 binary64) (*.f64 x x)) (neg.f64 y))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3))))) y)) (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))) y)) (pow x 2)) y)) (* x (+ (log (* -1 x)) (log (/ -1 y))))) |
(fma.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x))) x (/.f64 (fma.f64 x x (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)) x) y) #s(literal -1/6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64))) (neg.f64 y))) (neg.f64 y))) |
(* (pow y 2) (+ 1/2 (+ (* -1 (/ (- 1 (/ 1 y)) y)) (* 1/2 (/ 1 x))))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y) #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y) y) |
(* -1 (* y (+ (* -1 (+ 1/2 (* 1/2 (/ 1 x)))) (/ 1 y)))) |
(neg.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) y #s(literal 1 binary64))) |
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y)) |
(/.f64 (-.f64 (/.f64 (*.f64 x x) y) x) (neg.f64 y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y)) |
(/.f64 (-.f64 (neg.f64 x) (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (*.f64 x x)) y)) (neg.f64 y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) (neg.f64 y)) (*.f64 x x)) (neg.f64 y)) x) (neg.f64 y)) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(*.f64 (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)) (neg.f64 y)) |
(* -1 (* y (+ 1/6 (+ (* -1 (/ (+ 1/2 (* 1/2 (/ 1 x))) y)) (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))) |
(*.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y) #s(literal -1 binary64) (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) x))) (neg.f64 y)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 291 |
| 0 | 67 | 279 |
| 1 | 254 | 269 |
| 2 | 1830 | 269 |
| 0 | 8200 | 269 |
| 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 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) |
(fma.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) |
(-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) |
(*.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) |
(/.f64 (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 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y) |
(fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) |
(/.f64 #s(literal -1/3 binary64) (*.f64 x x)) |
| Outputs |
|---|
(/.f64 (neg.f64 (neg.f64 (neg.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)))))) (neg.f64 (neg.f64 (neg.f64 x)))) |
(/.f64 (fma.f64 (cosh.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x (*.f64 x (sinh.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))))) (*.f64 x x)) |
(/.f64 (neg.f64 (neg.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))))) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)))) (neg.f64 x)) |
(/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) |
(neg.f64 (/.f64 (neg.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)))) x)) |
(neg.f64 (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) (neg.f64 x))) |
(+.f64 (/.f64 (cosh.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) (/.f64 (sinh.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x)) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (cosh.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (cosh.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) #s(literal 2 binary64)) (*.f64 (cosh.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) (sinh.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)))))))) |
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)))))) #s(literal 4 binary64)) |
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(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) x)) y) #s(literal 2 binary64)) (pow.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) x)) (neg.f64 y)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))) |
(/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) x)) (neg.f64 y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) x)) y) #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) x)) (neg.f64 y)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) x)) (neg.f64 y)) #s(literal 3 binary64))) (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) (*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) x)) (neg.f64 y))) (pow.f64 (*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) x)) y) #s(literal 2 binary64)))) |
(fma.f64 (neg.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) x))) y (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) |
(fma.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) |
(fma.f64 (neg.f64 y) (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) x)) y) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) x)) (neg.f64 y)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))) (/.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) x)) (neg.f64 y)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))))) |
(-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) (*.f64 (neg.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) x))) (neg.f64 y))) |
(-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) (*.f64 (neg.f64 (neg.f64 y)) (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) x)))) |
(-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) (*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) x)) y)) |
(+.f64 (fma.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) x)) (neg.f64 y) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) x)) |
(+.f64 (/.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) x)) (neg.f64 y)) #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) (*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) x)) (neg.f64 y))) (pow.f64 (*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) x)) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) (*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) x)) (neg.f64 y))) (pow.f64 (*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) x)) y) #s(literal 2 binary64))))) |
(+.f64 (fma.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) x)) (neg.f64 y) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)) |
(+.f64 (*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) x)) (neg.f64 y)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) |
(+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) (*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) x)) (neg.f64 y))) |
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) x)) (neg.f64 y)))) |
(+.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) x)) (neg.f64 y) (/.f64 #s(literal 1/2 binary64) x))) |
(/.f64 (neg.f64 (/.f64 #s(literal -1/3 binary64) (neg.f64 x))) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal -1/3 binary64) x))) (neg.f64 (neg.f64 x))) |
(/.f64 (/.f64 #s(literal -1/3 binary64) (neg.f64 x)) (neg.f64 x)) |
(/.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) (*.f64 x x)) |
(neg.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) |
Compiled 22 510 to 3 019 computations (86.6% saved)
10 alts after pruning (8 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 485 | 6 | 491 |
| Fresh | 1 | 2 | 3 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 489 | 10 | 499 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 39.2% | (/.f64 (pow.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) x) x) |
| ✓ | 84.3% | (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) |
| ▶ | 65.2% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) |
| ▶ | 65.3% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y x y)) x)) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) |
| 63.6% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (*.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) | |
| ▶ | 60.6% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) x) |
| ▶ | 65.2% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x))) x) |
| 5.1% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (*.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64)))) x) | |
| ✓ | 76.1% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) |
| 53.2% | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) #s(literal 1/2 binary64)) x) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) y) (/.f64 #s(literal 1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))) |
Compiled 537 to 354 computations (34.1% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | #s(approx (/ x (+ y x)) (/.f64 x y)) | |
| cost-diff | 0 | (pow.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) x) | |
| cost-diff | 0 | (/.f64 (pow.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) x) x) | |
| cost-diff | 0 | #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x))) | |
| cost-diff | 0 | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x))) x) | |
| cost-diff | 2 | (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) | |
| cost-diff | 3 | (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x) | |
| cost-diff | 0 | (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) | |
| cost-diff | 0 | (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) | |
| cost-diff | 0 | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) y) | |
| cost-diff | 0 | #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) | |
| cost-diff | 0 | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) x) | |
| cost-diff | 0 | (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y x y)) x)) #s(literal 1 binary64)) y #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y x y)) x)) #s(literal 1 binary64)) y #s(literal 1 binary64))) | |
| cost-diff | 0 | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y x y)) x)) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) | |
| cost-diff | 1 | (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y x y)) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 61 | 596 |
| 0 | 91 | 596 |
| 1 | 152 | 562 |
| 2 | 321 | 562 |
| 3 | 756 | 540 |
| 4 | 2126 | 540 |
| 5 | 7139 | 540 |
| 0 | 8472 | 531 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y x y)) x)) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y x y)) x)) #s(literal 1 binary64)) y #s(literal 1 binary64))) |
(fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y x y)) x)) #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y x y)) x)) #s(literal 1 binary64)) |
#s(approx (* (+ (/ 1/2 x) 1/2) y) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y x y)) x)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y x y)) x) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 y x y)) |
#s(literal 1/2 binary64) |
(fma.f64 y x y) |
y |
x |
#s(literal 1 binary64) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) |
(-.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
x |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) |
(fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) |
(*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y) |
#s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) |
(fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) |
#s(literal -1/6 binary64) |
y |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
x |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x))) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x))) |
#s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x)) |
(/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x) |
(fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
y |
#s(literal 1 binary64) |
x |
(*.f64 (*.f64 y y) #s(literal 1/2 binary64)) |
(*.f64 y y) |
(/.f64 (pow.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) x) x) |
(pow.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) x) |
#s(approx (/ x (+ y x)) (/.f64 x y)) |
(/.f64 x y) |
x |
y |
| Outputs |
|---|
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y x y)) x)) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y)) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y x y)) x)) #s(literal 1 binary64)) y #s(literal 1 binary64))) |
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y)) #s(literal 1 binary64)) y #s(literal 1 binary64))) |
(fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y x y)) x)) #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y)) #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y x y)) x)) #s(literal 1 binary64)) |
(-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y)) #s(literal 1 binary64)) |
#s(approx (* (+ (/ 1/2 x) 1/2) y) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y x y)) x)) |
#s(approx (* (+ (/ 1/2 x) 1/2) y) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y x y)) x) |
(*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 y x y)) |
(*.f64 (fma.f64 y x y) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(fma.f64 y x y) |
y |
x |
#s(literal 1 binary64) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) |
(-.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
x |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) |
(fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) |
(*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y) |
#s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) |
(fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) |
#s(literal -1/6 binary64) |
y |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
x |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (fma.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) y #s(literal 1 binary64)))) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x))) |
#s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (fma.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) y #s(literal 1 binary64)))) |
#s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x)) |
#s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (fma.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) |
(/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x) |
(fma.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) |
(fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) x (*.f64 #s(literal 1/2 binary64) y)) y x) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
y |
#s(literal 1 binary64) |
x |
(*.f64 (*.f64 y y) #s(literal 1/2 binary64)) |
(*.f64 y y) |
(/.f64 (pow.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) x) x) |
(pow.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) x) |
#s(approx (/ x (+ y x)) (/.f64 x y)) |
(/.f64 x y) |
x |
y |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (/.f64 x y) | |
| accuracy | 0.00390625 | (/.f64 (pow.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) x) x) | |
| accuracy | 16.337136247946788 | (pow.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) x) | |
| accuracy | 45.48835484776876 | #s(approx (/ x (+ y x)) (/.f64 x y)) | |
| accuracy | 0.0078125 | (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) | |
| accuracy | 3.9140501149812352 | (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) | |
| accuracy | 5.897740958268322 | (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x) | |
| accuracy | 24.303305710772683 | #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x))) | |
| accuracy | 0.27230651052478383 | (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) | |
| accuracy | 1.3066569474168355 | (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y) | |
| accuracy | 24.037679374130413 | #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) | |
| accuracy | 28.617095669528386 | #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) | |
| accuracy | 0.0 | (-.f64 #s(literal 1 binary64) y) | |
| accuracy | 0.00390625 | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) x) | |
| accuracy | 25.245271282035482 | #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) | |
| accuracy | 0.00390625 | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y x y)) x)) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) | |
| accuracy | 0.0078125 | (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y x y)) x)) #s(literal 1 binary64)) y #s(literal 1 binary64)) | |
| accuracy | 9.011144419319756 | (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y x y)) x) | |
| accuracy | 24.303305710772683 | #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y x y)) x)) #s(literal 1 binary64)) y #s(literal 1 binary64))) |
| 203.0ms | 117× | 1 | valid |
| 70.0ms | 139× | 0 | valid |
Compiled 946 to 118 computations (87.5% saved)
ival-div: 69.0ms (28.6% of total)ival-pow: 46.0ms (19.1% of total)ival-mult: 38.0ms (15.8% of total)ival-log: 31.0ms (12.9% of total)ival-add: 16.0ms (6.6% of total)adjust: 12.0ms (5% of total)const: 12.0ms (5% of total)ival-sub: 11.0ms (4.6% of total)ival-exp: 3.0ms (1.2% of total)ival-neg: 1.0ms (0.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y x y)) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y x y)) x)) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y x y)) x)) #s(literal 1 binary64)) y #s(literal 1 binary64))) |
(fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y x y)) x)) #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) |
(-.f64 #s(literal 1 binary64) y) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) |
(fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) |
(/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x) |
(fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x))) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x))) |
(/.f64 (pow.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) x) x) |
(pow.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) x) |
#s(approx (/ x (+ y x)) (/.f64 x y)) |
(/.f64 x y) |
#s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) |
(*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y) |
(*.f64 (*.f64 y y) #s(literal 1/2 binary64)) |
| Outputs |
|---|
(* 1/2 (/ y x)) |
(/ (+ (* 1/2 y) (* 1/2 (* x y))) x) |
(/ 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))))))) |
(* 1/2 (/ (pow y 2) x)) |
(/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) x) |
(* -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)) |
(* 1/2 (pow y 2)) |
(+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) |
(/ x y) |
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y))) |
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y))) |
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))) |
(* -1/3 (/ 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 2)) (* x (+ (* x (* y (+ 1/2 (* -1/6 y)))) (* y (+ 1/2 (* -1/2 y)))))) (pow x 2)) |
(* 1/2 y) |
(+ (* 1/2 y) (* 1/2 (/ y x))) |
(/ (exp (* -1 y)) x) |
(/ (+ (exp (* -1 y)) (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) x) |
(/ (+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2)))) x) |
(/ (+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (+ (/ (* (exp (* -1 y)) (+ (* 1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (+ (* 1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) (pow x 3)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2))))) x) |
(exp (* -1 y)) |
(+ (exp (* -1 y)) (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) |
(+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2)))) |
(+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (+ (/ (* (exp (* -1 y)) (+ (* 1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (+ (* 1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) (pow x 3)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2))))) |
(+ 1 (* y (- (* 1/2 y) 1))) |
(+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1)))) |
(+ 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) |
(* x (+ 1 (* y (- (* 1/2 y) 1)))) |
(* x (+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1))))) |
(+ 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))) |
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(+ 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)))))) |
(* y (+ 1/2 (* -1/6 y))) |
(+ (* y (+ 1/2 (* -1/6 y))) (/ (* y (+ 1/2 (* -1/2 y))) x)) |
(+ (* -1/3 (/ (pow y 2) (pow x 2))) (+ (* y (+ 1/2 (* -1/6 y))) (/ (* y (+ 1/2 (* -1/2 y))) x))) |
(* -1 (/ (+ (* -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))) |
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(+ 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 (* y (- (* 1/2 y) 1)))) (* -1/2 (/ (pow y 2) x))))) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x))) |
(+ 1/2 (+ (* -1 (/ (- (* 1/2 y) 1/2) x)) (* -1/6 y))) |
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(+ (* -1 (/ (* y (- (* 1/2 y) 1/2)) x)) (* y (+ 1/2 (* -1/6 y)))) |
(+ (* -1 (/ (+ (* 1/3 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1/2))) x)) (* y (+ 1/2 (* -1/6 y)))) |
(* 1/2 (/ (* y (+ 1 x)) x)) |
(+ (* -1 (/ y x)) (/ 1 x)) |
(+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x)) |
(+ (* y (- (* y (+ (* -1 (/ (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) x)) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))) (/ 1 x))) (/ 1 x)) |
(+ 1 (* -1 y)) |
(+ 1 (* y (- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1))) |
(+ 1 (* y (- (* y (+ 1/2 (+ (* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) (* 1/2 (/ 1 x))))) 1))) |
-1 |
(- (* y (+ 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) |
x |
(+ x (* -1 (* x y))) |
(+ x (* y (+ (* -1 x) (* y (+ 1/2 (* 1/2 x)))))) |
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x)))) |
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 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)))) |
(* y (+ 1/2 (+ (* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) (* 1/2 (/ 1 x))))) |
(/ (exp (* x (+ (log x) (log (/ 1 y))))) x) |
(+ (* -1 (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (/ (exp (* x (+ (log x) (log (/ 1 y))))) x)) |
(+ (* -1 (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (+ (/ (exp (* x (+ (log x) (log (/ 1 y))))) x) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x (pow y 2))))) |
(+ (* -1 (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (+ (/ (exp (* x (+ (log x) (log (/ 1 y))))) x) (+ (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (+ (* -1/6 (pow x 6)) (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* -2 (pow x 3)) (* 6 (pow x 3))))))))) (* x (pow y 3))) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x (pow y 2)))))) |
(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))))) |
(* (pow y 2) (+ 1/2 (* 1/2 (/ 1 x)))) |
(* (pow y 2) (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1 y))) |
(* (pow y 2) (- (+ 1/2 (+ (* 1/2 (/ 1 x)) (/ 1 (pow y 2)))) (/ 1 y))) |
(* -1 y) |
(* y (- (/ 1 y) 1)) |
(* -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)))) |
(/ (* (pow y 2) (+ 1/2 (* 1/2 x))) 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)))))) |
(/ (+ 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) |
(* -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))))) |
(* -1/2 (/ (* y (- (* -1 x) 1)) x)) |
(/ (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))) |
(* (pow y 2) (+ 1/2 (+ (* -1 (/ (- 1 (/ 1 y)) y)) (* 1/2 (/ 1 x))))) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 (* (pow y 3) (+ 1/6 (+ (* -1 (/ (+ 1/2 (* 1/2 (/ 1 x))) y)) (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))) |
(* -1 (* (pow y 3) (+ 1/6 (+ (* -1 (/ (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1 y)) y)) (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))) |
(* -1 (* (pow y 3) (+ 1/6 (+ (* -1 (/ (+ 1/2 (+ (* -1 (/ (- 1 (/ 1 y)) y)) (* 1/2 (/ 1 x)))) y)) (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))) |
(* (pow y 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (* -1 (/ (+ (* -1 (+ 1/2 (* 1/2 (/ 1 x)))) (/ 1 y)) y)))) |
(* (pow y 2) (+ 1/2 (+ (* -1 (/ (+ x (* -1 (/ x y))) y)) (* 1/2 x)))) |
(* -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 (+ 1/6 (+ (* -1 (/ (+ 1/2 (* 1/2 (/ 1 x))) y)) (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 11.0ms | x | @ | -inf | ((/ (* 1/2 (+ (* y x) y)) x) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (- 1 y) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (- (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) y) 1) y) 1) (- (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) y) 1) (/ (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) x) (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (/ (pow (/ x (+ y x)) x) x) (pow (/ x (+ y x)) x) (/ x (+ y x)) (/ x y) (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) y) (* (* y y) 1/2)) |
| 8.0ms | y | @ | 0 | ((/ (* 1/2 (+ (* y x) y)) x) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (- 1 y) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (- (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) y) 1) y) 1) (- (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) y) 1) (/ (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) x) (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (/ (pow (/ x (+ y x)) x) x) (pow (/ x (+ y x)) x) (/ x (+ y x)) (/ x y) (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) y) (* (* y y) 1/2)) |
| 7.0ms | y | @ | -inf | ((/ (* 1/2 (+ (* y x) y)) x) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (- 1 y) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (- (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) y) 1) y) 1) (- (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) y) 1) (/ (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) x) (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (/ (pow (/ x (+ y x)) x) x) (pow (/ x (+ y x)) x) (/ x (+ y x)) (/ x y) (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) y) (* (* y y) 1/2)) |
| 4.0ms | y | @ | inf | ((/ (* 1/2 (+ (* y x) y)) x) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (- 1 y) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (- (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) y) 1) y) 1) (- (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) y) 1) (/ (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) x) (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (/ (pow (/ x (+ y x)) x) x) (pow (/ x (+ y x)) x) (/ x (+ y x)) (/ x y) (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) y) (* (* y y) 1/2)) |
| 4.0ms | x | @ | inf | ((/ (* 1/2 (+ (* y x) y)) x) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (- 1 y) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (- (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) y) 1) y) 1) (- (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) y) 1) (/ (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) x) (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (/ (pow (/ x (+ y x)) x) x) (pow (/ x (+ y x)) x) (/ x (+ y x)) (/ x y) (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) y) (* (* y y) 1/2)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 608 | 3490 |
| 1 | 2233 | 3187 |
| 0 | 8410 | 3013 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (/ y x)) |
(/ (+ (* 1/2 y) (* 1/2 (* x y))) x) |
(/ 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))))))) |
(* 1/2 (/ (pow y 2) x)) |
(/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) x) |
(* -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)) |
(* 1/2 (pow y 2)) |
(+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) |
(/ x y) |
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y))) |
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y))) |
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))) |
(* -1/3 (/ 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 2)) (* x (+ (* x (* y (+ 1/2 (* -1/6 y)))) (* y (+ 1/2 (* -1/2 y)))))) (pow x 2)) |
(* 1/2 y) |
(+ (* 1/2 y) (* 1/2 (/ y x))) |
(/ (exp (* -1 y)) x) |
(/ (+ (exp (* -1 y)) (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) x) |
(/ (+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2)))) x) |
(/ (+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (+ (/ (* (exp (* -1 y)) (+ (* 1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (+ (* 1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) (pow x 3)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2))))) x) |
(exp (* -1 y)) |
(+ (exp (* -1 y)) (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) |
(+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2)))) |
(+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (+ (/ (* (exp (* -1 y)) (+ (* 1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (+ (* 1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) (pow x 3)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2))))) |
(+ 1 (* y (- (* 1/2 y) 1))) |
(+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1)))) |
(+ 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) |
(* x (+ 1 (* y (- (* 1/2 y) 1)))) |
(* x (+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1))))) |
(+ 1 (* -1 (/ y x))) |
(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x)) |
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))) |
(+ 1/2 (* -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)))))) |
(* y (+ 1/2 (* -1/6 y))) |
(+ (* y (+ 1/2 (* -1/6 y))) (/ (* y (+ 1/2 (* -1/2 y))) x)) |
(+ (* -1/3 (/ (pow y 2) (pow x 2))) (+ (* y (+ 1/2 (* -1/6 y))) (/ (* y (+ 1/2 (* -1/2 y))) x))) |
(* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) x)) |
(* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1 (/ (+ (* 1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (/ (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)))) x)) x))) x)) |
(* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2))))) (/ (* (exp (* -1 y)) (+ (* -1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) x)) x)) (* 1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))) x))) x)) |
(+ (exp (* -1 y)) (* -1 (/ (+ (* -1 (/ (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)))) x)) (* -1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))) x))) |
(+ (exp (* -1 y)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* -1 y)) (+ (* -1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) x)) (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2))))) x)) (* -1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))) x))) |
(+ 1 (+ (* -1 (/ (* (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 (* y (- (* 1/2 y) 1)))) (* -1/2 (/ (pow y 2) x))))) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x))) |
(+ 1/2 (+ (* -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 (/ (* y (- (* 1/2 y) 1/2)) x)) (* y (+ 1/2 (* -1/6 y)))) |
(+ (* -1 (/ (+ (* 1/3 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1/2))) x)) (* y (+ 1/2 (* -1/6 y)))) |
(* 1/2 (/ (* y (+ 1 x)) x)) |
(+ (* -1 (/ y x)) (/ 1 x)) |
(+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x)) |
(+ (* y (- (* y (+ (* -1 (/ (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) x)) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))) (/ 1 x))) (/ 1 x)) |
(+ 1 (* -1 y)) |
(+ 1 (* y (- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1))) |
(+ 1 (* y (- (* y (+ 1/2 (+ (* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) (* 1/2 (/ 1 x))))) 1))) |
-1 |
(- (* y (+ 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) |
x |
(+ x (* -1 (* x y))) |
(+ x (* y (+ (* -1 x) (* y (+ 1/2 (* 1/2 x)))))) |
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x)))) |
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 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)))) |
(* y (+ 1/2 (+ (* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) (* 1/2 (/ 1 x))))) |
(/ (exp (* x (+ (log x) (log (/ 1 y))))) x) |
(+ (* -1 (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (/ (exp (* x (+ (log x) (log (/ 1 y))))) x)) |
(+ (* -1 (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (+ (/ (exp (* x (+ (log x) (log (/ 1 y))))) x) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x (pow y 2))))) |
(+ (* -1 (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (+ (/ (exp (* x (+ (log x) (log (/ 1 y))))) x) (+ (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (+ (* -1/6 (pow x 6)) (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* -2 (pow x 3)) (* 6 (pow x 3))))))))) (* x (pow y 3))) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x (pow y 2)))))) |
(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))))) |
(* (pow y 2) (+ 1/2 (* 1/2 (/ 1 x)))) |
(* (pow y 2) (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1 y))) |
(* (pow y 2) (- (+ 1/2 (+ (* 1/2 (/ 1 x)) (/ 1 (pow y 2)))) (/ 1 y))) |
(* -1 y) |
(* y (- (/ 1 y) 1)) |
(* -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)))) |
(/ (* (pow y 2) (+ 1/2 (* 1/2 x))) 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)))))) |
(/ (+ 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) |
(* -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))))) |
(* -1/2 (/ (* y (- (* -1 x) 1)) x)) |
(/ (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))) |
(* (pow y 2) (+ 1/2 (+ (* -1 (/ (- 1 (/ 1 y)) y)) (* 1/2 (/ 1 x))))) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 (* (pow y 3) (+ 1/6 (+ (* -1 (/ (+ 1/2 (* 1/2 (/ 1 x))) y)) (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))) |
(* -1 (* (pow y 3) (+ 1/6 (+ (* -1 (/ (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1 y)) y)) (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))) |
(* -1 (* (pow y 3) (+ 1/6 (+ (* -1 (/ (+ 1/2 (+ (* -1 (/ (- 1 (/ 1 y)) y)) (* 1/2 (/ 1 x)))) y)) (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))) |
(* (pow y 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (* -1 (/ (+ (* -1 (+ 1/2 (* 1/2 (/ 1 x)))) (/ 1 y)) y)))) |
(* (pow y 2) (+ 1/2 (+ (* -1 (/ (+ x (* -1 (/ x y))) y)) (* 1/2 x)))) |
(* -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 (+ 1/6 (+ (* -1 (/ (+ 1/2 (* 1/2 (/ 1 x))) y)) (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))) |
| Outputs |
|---|
(* 1/2 (/ y x)) |
(*.f64 (/.f64 y x) #s(literal 1/2 binary64)) |
(/ (+ (* 1/2 y) (* 1/2 (* x y))) x) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) y) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (* x (+ (log x) (log (/ 1 y))))) x) |
(/.f64 (fma.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) x #s(literal 1 binary64)) x) |
(/ (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y))))))) x) |
(/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) y)) x (+.f64 (neg.f64 (log.f64 y)) (log.f64 x))) x #s(literal 1 binary64)) x) |
(/ (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (* x (+ (* -1 (/ (+ (log x) (log (/ 1 y))) y)) (+ (* 1/6 (pow (+ (log x) (log (/ 1 y))) 3)) (* 1/2 (/ 1 (pow y 2))))))) (/ 1 y))))))) x) |
(/.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) #s(literal 3 binary64)) #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) (neg.f64 y)))) x (*.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) y)) x (+.f64 (neg.f64 (log.f64 y)) (log.f64 x))) x #s(literal 1 binary64)) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* x (+ (log x) (log (/ 1 y))))) |
(fma.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) x #s(literal 1 binary64)) |
(+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y))))))) |
(fma.f64 (fma.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) y)) x (+.f64 (neg.f64 (log.f64 y)) (log.f64 x))) x #s(literal 1 binary64)) |
(+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (* x (+ (* -1 (/ (+ (log x) (log (/ 1 y))) y)) (+ (* 1/6 (pow (+ (log x) (log (/ 1 y))) 3)) (* 1/2 (/ 1 (pow y 2))))))) (/ 1 y))))))) |
(fma.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) #s(literal 3 binary64)) #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) (neg.f64 y)))) x (*.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) y)) x (+.f64 (neg.f64 (log.f64 y)) (log.f64 x))) x #s(literal 1 binary64)) |
(* 1/2 (/ (pow y 2) x)) |
(*.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) |
(/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) x) |
(/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x) |
(* -1/3 (/ (pow y 3) (pow x 2))) |
(*.f64 (/.f64 #s(literal -1/3 binary64) x) (/.f64 (pow.f64 y #s(literal 3 binary64)) x)) |
(/ (+ (* -1/3 (pow y 3)) (* x (* (pow y 2) (+ 1/2 (* -1/2 y))))) (pow x 2)) |
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(+ (* -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)) |
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(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3)))))) (+ (* 1/6 (pow x 6)) (* 1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))))) (* x y))) (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) x)) y)) (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x)) |
(fma.f64 (/.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) x (/.f64 (fma.f64 (/.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) x) (neg.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)) x (pow.f64 x #s(literal 6 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (pow.f64 x #s(literal 3 binary64)))) y)) (*.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64)))) x))) (neg.f64 y))) y) #s(literal -1 binary64) (/.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) x)) |
(exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) |
(pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) |
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))) y))) |
(fma.f64 (*.f64 (neg.f64 x) x) (/.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) y) (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x))))) |
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) y)) (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y))) |
(-.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) (/.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) (*.f64 x x) (/.f64 (*.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 y))) y)) |
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3)))))) (+ (* 1/6 (pow x 6)) (* 1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))))) y)) (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4))))) y)) (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y))) |
(-.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) (/.f64 (fma.f64 (*.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) x) x (/.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) (neg.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)) x (pow.f64 x #s(literal 6 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (pow.f64 x #s(literal 3 binary64)))) y)) (*.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64)))))) (neg.f64 y))) y)) |
(* (pow y 2) (+ 1/2 (+ (* -1 (/ (- 1 (/ 1 y)) y)) (* 1/2 (/ 1 x))))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y) #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y) y) |
(* -1 (* y (- 1 (/ 1 y)))) |
(*.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))) |
(* -1 (* (pow y 3) (+ 1/6 (+ (* -1 (/ (+ 1/2 (* 1/2 (/ 1 x))) y)) (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))) |
(*.f64 (neg.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y) #s(literal -1 binary64) (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))) (pow.f64 y #s(literal 3 binary64))) |
(* -1 (* (pow y 3) (+ 1/6 (+ (* -1 (/ (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1 y)) y)) (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))) |
(*.f64 (neg.f64 (pow.f64 y #s(literal 3 binary64))) (+.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) y)) (neg.f64 y)) (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))) |
(* -1 (* (pow y 3) (+ 1/6 (+ (* -1 (/ (+ 1/2 (+ (* -1 (/ (- 1 (/ 1 y)) y)) (* 1/2 (/ 1 x)))) y)) (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))) |
(*.f64 (neg.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y) #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y) #s(literal -1 binary64) (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))) (pow.f64 y #s(literal 3 binary64))) |
(* (pow y 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (* -1 (/ (+ (* -1 (+ 1/2 (* 1/2 (/ 1 x)))) (/ 1 y)) y)))) |
(*.f64 (-.f64 (neg.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))) (/.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) y)) (*.f64 y y)) |
(* (pow y 2) (+ 1/2 (+ (* -1 (/ (+ x (* -1 (/ x y))) y)) (* 1/2 x)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (-.f64 x (/.f64 x y)) y) #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64))) y) y) |
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y)) |
(/.f64 (-.f64 (/.f64 (*.f64 x x) y) x) (neg.f64 y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y)) |
(/.f64 (-.f64 (neg.f64 x) (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (*.f64 x x)) y)) (neg.f64 y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) (neg.f64 y)) (*.f64 x x)) (neg.f64 y)) x) (neg.f64 y)) |
(* -1 (* y (+ 1/6 (+ (* -1 (/ (+ 1/2 (* 1/2 (/ 1 x))) y)) (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))) |
(*.f64 (neg.f64 y) (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y) #s(literal -1 binary64) (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 61 | 480 |
| 0 | 91 | 480 |
| 1 | 386 | 446 |
| 2 | 2993 | 446 |
| 0 | 8712 | 444 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y x y)) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y x y)) x)) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y x y)) x)) #s(literal 1 binary64)) y #s(literal 1 binary64))) |
(fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y x y)) x)) #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) |
(-.f64 #s(literal 1 binary64) y) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) |
(fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) |
(/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x) |
(fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x))) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x))) |
(/.f64 (pow.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) x) x) |
(pow.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) x) |
#s(approx (/ x (+ y x)) (/.f64 x y)) |
(/.f64 x y) |
#s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) |
(*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y) |
(*.f64 (*.f64 y y) #s(literal 1/2 binary64)) |
| Outputs |
|---|
(*.f64 (/.f64 (fma.f64 x y y) x) #s(literal 1/2 binary64)) |
(*.f64 (fma.f64 x y y) (/.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x y y) x)) |
(/.f64 (fma.f64 (*.f64 (*.f64 x y) #s(literal 1/2 binary64)) x (*.f64 (*.f64 x y) #s(literal 1/2 binary64))) (*.f64 x x)) |
(/.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 x y y))) (neg.f64 (neg.f64 x))) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 x y y)) (neg.f64 x)) |
(/.f64 (*.f64 (fma.f64 x y y) #s(literal 1/2 binary64)) x) |
(neg.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 x y y)) x)) |
(neg.f64 (/.f64 (*.f64 (fma.f64 x y y) #s(literal 1/2 binary64)) (neg.f64 x))) |
(+.f64 (/.f64 (*.f64 (*.f64 x y) #s(literal 1/2 binary64)) x) (/.f64 (*.f64 y #s(literal 1/2 binary64)) x)) |
(/.f64 (neg.f64 (neg.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (/.f64 (*.f64 (fma.f64 x y y) #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)) y #s(literal 1 binary64))))) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (/.f64 (*.f64 (fma.f64 x y y) #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)) y #s(literal 1 binary64)))) (neg.f64 x)) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (/.f64 (*.f64 (fma.f64 x y y) #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) |
(neg.f64 (/.f64 (neg.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (/.f64 (*.f64 (fma.f64 x y y) #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)) y #s(literal 1 binary64)))) x)) |
(neg.f64 (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (/.f64 (*.f64 (fma.f64 x y y) #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)) y #s(literal 1 binary64))) (neg.f64 x))) |
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (/.f64 (*.f64 (fma.f64 x y y) #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)) y #s(literal 1 binary64))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (/.f64 (*.f64 (fma.f64 x y y) #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)) y) #s(literal 3 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (/.f64 (*.f64 (fma.f64 x y y) #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)) y)) (pow.f64 (*.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (/.f64 (*.f64 (fma.f64 x y y) #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)) y) #s(literal 2 binary64))) (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (/.f64 (*.f64 (fma.f64 x y y) #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)) y)) (pow.f64 (*.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (/.f64 (*.f64 (fma.f64 x y y) #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)) y) #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (/.f64 (*.f64 (fma.f64 x y y) #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)) y)) (pow.f64 (*.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (/.f64 (*.f64 (fma.f64 x y y) #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)) y) #s(literal 2 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (/.f64 (*.f64 (fma.f64 x y y) #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)) y)) (pow.f64 (*.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (/.f64 (*.f64 (fma.f64 x y y) #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)) y) #s(literal 2 binary64))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (/.f64 (*.f64 (fma.f64 x y y) #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)) y) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (/.f64 (*.f64 (fma.f64 x y y) #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)) y))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (/.f64 (*.f64 (fma.f64 x y y) #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)) y) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (*.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (/.f64 (*.f64 (fma.f64 x y y) #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)) y) #s(literal 1 binary64)))) |
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(fma.f64 (fabs.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 y))) y (*.f64 (fma.f64 (-.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)) y #s(literal 1 binary64)) x)) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 y)) (neg.f64 y) (*.f64 (fma.f64 (-.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)) y #s(literal 1 binary64)) x)) |
(fma.f64 (*.f64 y y) #s(literal 1/2 binary64) (*.f64 (fma.f64 (-.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)) y #s(literal 1 binary64)) x)) |
(fma.f64 (fma.f64 (-.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 y #s(literal 1/2 binary64)) y (*.f64 (fma.f64 (-.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)) y #s(literal 1 binary64)) x)) |
(fma.f64 (neg.f64 y) (*.f64 (neg.f64 y) #s(literal 1/2 binary64)) (*.f64 (fma.f64 (-.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)) y #s(literal 1 binary64)) x)) |
(fma.f64 x (fma.f64 (-.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)) y #s(literal 1 binary64)) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) |
(fma.f64 y (fabs.f64 (*.f64 (neg.f64 y) #s(literal 1/2 binary64))) (*.f64 (fma.f64 (-.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)) y #s(literal 1 binary64)) x)) |
(fma.f64 y (*.f64 y #s(literal 1/2 binary64)) (*.f64 (fma.f64 (-.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)) y #s(literal 1 binary64)) x)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 y y) (*.f64 (fma.f64 (-.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)) y #s(literal 1 binary64)) x)) |
(-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 (-.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)) y #s(literal 1 binary64)) x) #s(literal 2 binary64)) (fma.f64 (fma.f64 (-.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)) y #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) (*.f64 y y)))) (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (fma.f64 (-.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)) y #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) (*.f64 y y))))) |
(-.f64 (*.f64 (fma.f64 (-.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)) y #s(literal 1 binary64)) x) (*.f64 (neg.f64 y) (*.f64 y #s(literal 1/2 binary64)))) |
(-.f64 (*.f64 (fma.f64 (-.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)) y #s(literal 1 binary64)) x) (*.f64 #s(literal -1/2 binary64) (*.f64 y y))) |
(-.f64 (*.f64 (fma.f64 (-.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)) y #s(literal 1 binary64)) x) (*.f64 (*.f64 (neg.f64 y) y) #s(literal 1/2 binary64))) |
(-.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 (neg.f64 (fma.f64 (-.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)) y #s(literal 1 binary64))) x)) |
(-.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 (neg.f64 x) (fma.f64 (-.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)) y #s(literal 1 binary64)))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 (-.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)) y #s(literal 1 binary64)) x) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 (fma.f64 (-.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)) y #s(literal 1 binary64)) x)) (pow.f64 (*.f64 (fma.f64 (-.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)) y #s(literal 1 binary64)) x) #s(literal 2 binary64)))) (/.f64 (*.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/8 binary64)) (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 (fma.f64 (-.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)) y #s(literal 1 binary64)) x)) (pow.f64 (*.f64 (fma.f64 (-.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)) y #s(literal 1 binary64)) x) #s(literal 2 binary64))))) |
(+.f64 (*.f64 (fma.f64 (-.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)) y #s(literal 1 binary64)) x) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) |
(+.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 (fma.f64 (-.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)) y #s(literal 1 binary64)) x)) |
(/.f64 (neg.f64 (neg.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x))))) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x)))) (neg.f64 x)) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x))) x) |
(neg.f64 (/.f64 (neg.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x)))) x)) |
(neg.f64 (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x))) (neg.f64 x))) |
#s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x))) |
(*.f64 (sqrt.f64 (pow.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) x)) (/.f64 (sqrt.f64 (pow.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) x)) x)) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) x))) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.f64 (pow.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) x)) (neg.f64 x)) |
(/.f64 (pow.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) x) x) |
(neg.f64 (/.f64 (neg.f64 (pow.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) x)) x)) |
(neg.f64 (/.f64 (pow.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) x) (neg.f64 x))) |
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (pow.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) x)))) (neg.f64 (neg.f64 (sqrt.f64 (pow.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) x))))) |
(*.f64 (neg.f64 (sqrt.f64 (pow.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) x))) (neg.f64 (sqrt.f64 (pow.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) x)))) |
(*.f64 (sqrt.f64 (pow.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) x)) (sqrt.f64 (pow.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) x))) |
(pow.f64 (neg.f64 (sqrt.f64 (pow.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) x))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64))) |
(pow.f64 (sqrt.f64 (pow.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) x)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 x) (log.f64 #s(approx (/ x (+ y x)) (/.f64 x y)))) |
(pow.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) (*.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) |
(pow.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) (*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64)))) |
(pow.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64)))) |
(pow.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) x) |
(fabs.f64 (pow.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) x)) |
(exp.f64 (fma.f64 (log.f64 #s(approx (/ x (+ y x)) (/.f64 x y))) (/.f64 x #s(literal 2 binary64)) (*.f64 (log.f64 #s(approx (/ x (+ y x)) (/.f64 x y))) (/.f64 x #s(literal 2 binary64))))) |
(exp.f64 (*.f64 (*.f64 (log.f64 #s(approx (/ x (+ y x)) (/.f64 x y))) (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) #s(literal 2 binary64))) (/.f64 x #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (pow.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) x))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 #s(approx (/ x (+ y x)) (/.f64 x y))) (*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64))))) |
(exp.f64 (*.f64 (log.f64 #s(approx (/ x (+ y x)) (/.f64 x y))) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64))))) |
(exp.f64 (log.f64 (pow.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) x))) |
(+.f64 (cosh.f64 (log.f64 (pow.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) x))) (sinh.f64 (log.f64 (pow.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) x)))) |
#s(approx (/ x (+ y x)) (/.f64 x y)) |
(exp.f64 (log.f64 #s(approx (/ x (+ y x)) (/.f64 x y)))) |
(+.f64 (cosh.f64 (log.f64 #s(approx (/ x (+ y x)) (/.f64 x y)))) (sinh.f64 (log.f64 #s(approx (/ x (+ y x)) (/.f64 x y))))) |
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 y))) |
(/.f64 (neg.f64 x) (neg.f64 y)) |
(/.f64 x y) |
(neg.f64 (/.f64 (neg.f64 x) y)) |
(neg.f64 (/.f64 x (neg.f64 y))) |
#s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) |
(*.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) |
(*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y)) |
(*.f64 y (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(*.f64 y #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)))) |
(*.f64 (fabs.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 y))) y) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 y)) (neg.f64 y)) |
(*.f64 (*.f64 y y) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 y #s(literal 1/2 binary64)) y) |
(*.f64 (neg.f64 y) (*.f64 (neg.f64 y) #s(literal 1/2 binary64))) |
(*.f64 y (fabs.f64 (*.f64 (neg.f64 y) #s(literal 1/2 binary64)))) |
(*.f64 y (*.f64 y #s(literal 1/2 binary64))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 y y)) |
(sqrt.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/4 binary64))) |
(fabs.f64 (*.f64 (*.f64 (neg.f64 y) y) #s(literal 1/2 binary64))) |
(fabs.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) |
Compiled 15 818 to 1 758 computations (88.9% saved)
12 alts after pruning (7 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 318 | 5 | 323 |
| Fresh | 1 | 2 | 3 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 2 | 2 |
| Total | 321 | 12 | 333 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 39.2% | (/.f64 (pow.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) x) x) |
| ✓ | 84.3% | (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) |
| ✓ | 65.2% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) |
| ▶ | 63.6% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (*.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) |
| 60.5% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (- (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) y) 1) (*.f64 (/.f64 #s(literal -1/3 binary64) x) (/.f64 (*.f64 y y) x))) y #s(literal 1 binary64))) x) | |
| ✓ | 60.6% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) x) |
| ▶ | 4.1% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (- 1 y) (neg.f64 y))) x) |
| ▶ | 66.1% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (-.f64 x (*.f64 x y))) x))) x) |
| ▶ | 12.0% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) y) y)) x))) x) |
| ▶ | 5.1% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x))) x) |
| ✓ | 76.1% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) |
| 53.2% | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) #s(literal 1/2 binary64)) x) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) y) (/.f64 #s(literal 1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))) |
Compiled 693 to 444 computations (35.9% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) y) y)) x) | |
| cost-diff | 0 | #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) y) y)) x)) | |
| cost-diff | 0 | #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) y) y)) x))) | |
| cost-diff | 0 | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) y) y)) x))) x) | |
| cost-diff | 0 | (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x) | |
| cost-diff | 0 | #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x)) | |
| cost-diff | 0 | #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x))) | |
| cost-diff | 0 | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x))) x) | |
| cost-diff | 0 | (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (*.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64)) | |
| cost-diff | 0 | (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (*.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64)) y #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (*.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64)) y #s(literal 1 binary64))) | |
| cost-diff | 0 | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (*.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | #s(approx (- 1 y) (neg.f64 y)) | |
| cost-diff | 0 | #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (- 1 y) (neg.f64 y))) | |
| cost-diff | 0 | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (- 1 y) (neg.f64 y))) x) | |
| cost-diff | 0 | (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (-.f64 x (*.f64 x y))) x) | |
| cost-diff | 0 | #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (-.f64 x (*.f64 x y))) x)) | |
| cost-diff | 0 | #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (-.f64 x (*.f64 x y))) x))) | |
| cost-diff | 0 | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (-.f64 x (*.f64 x y))) x))) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 56 | 763 |
| 0 | 77 | 763 |
| 1 | 115 | 743 |
| 2 | 223 | 743 |
| 3 | 520 | 713 |
| 4 | 1334 | 713 |
| 5 | 4072 | 713 |
| 0 | 8108 | 674 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (-.f64 x (*.f64 x y))) x))) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (-.f64 x (*.f64 x y))) x))) |
#s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (-.f64 x (*.f64 x y))) x)) |
(/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (-.f64 x (*.f64 x y))) x) |
#s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (-.f64 x (*.f64 x y))) |
(-.f64 x (*.f64 x y)) |
x |
(*.f64 x y) |
y |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (- 1 y) (neg.f64 y))) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (- 1 y) (neg.f64 y))) |
#s(approx (- 1 y) (neg.f64 y)) |
(neg.f64 y) |
y |
x |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (*.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (*.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64)) y #s(literal 1 binary64))) |
(fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (*.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (*.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64)) |
#s(approx (* (+ (/ 1/2 x) 1/2) y) (*.f64 #s(literal 1/2 binary64) y)) |
(*.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
y |
#s(literal 1 binary64) |
x |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x))) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x))) |
#s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x)) |
(/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x) |
#s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 y y) #s(literal 1/2 binary64)) |
(*.f64 y y) |
y |
#s(literal 1/2 binary64) |
x |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) y) y)) x))) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) y) y)) x))) |
#s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) y) y)) x)) |
(/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) y) y)) x) |
#s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) y) y)) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) y) y) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) y) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
x |
y |
| Outputs |
|---|
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (-.f64 x (*.f64 x y))) x))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (-.f64 x (*.f64 y x))) x))) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (-.f64 x (*.f64 x y))) x))) |
#s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (-.f64 x (*.f64 y x))) x))) |
#s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (-.f64 x (*.f64 x y))) x)) |
#s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (-.f64 x (*.f64 y x))) x)) |
(/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (-.f64 x (*.f64 x y))) x) |
(/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (-.f64 x (*.f64 y x))) x) |
#s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (-.f64 x (*.f64 x y))) |
#s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (-.f64 x (*.f64 y x))) |
(-.f64 x (*.f64 x y)) |
(-.f64 x (*.f64 y x)) |
x |
(*.f64 x y) |
(*.f64 y x) |
y |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (- 1 y) (neg.f64 y))) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (- 1 y) (neg.f64 y))) |
#s(approx (- 1 y) (neg.f64 y)) |
(neg.f64 y) |
y |
x |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (*.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (*.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64)) y #s(literal 1 binary64))) |
(fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (*.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (*.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64)) |
#s(approx (* (+ (/ 1/2 x) 1/2) y) (*.f64 #s(literal 1/2 binary64) y)) |
(*.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
y |
#s(literal 1 binary64) |
x |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x))) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x))) |
#s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x)) |
(/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x) |
#s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 y y) #s(literal 1/2 binary64)) |
(*.f64 y y) |
y |
#s(literal 1/2 binary64) |
x |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) y) y)) x))) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) y) y)) x))) |
#s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) y) y)) x)) |
(/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) y) y)) x) |
#s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) y) y)) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) y) y) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) y) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
x |
y |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.06640625 | (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) y) y) | |
| accuracy | 5.897740958268322 | (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) y) y)) x) | |
| accuracy | 24.303305710772683 | #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) y) y)) x))) | |
| accuracy | 36.44991448886417 | #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) y) y)) | |
| accuracy | 0.0078125 | (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) | |
| accuracy | 5.897740958268322 | (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x) | |
| accuracy | 24.303305710772683 | #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x))) | |
| accuracy | 46.781803886837956 | #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) | |
| accuracy | 0.00390625 | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (*.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) | |
| accuracy | 0.0078125 | (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (*.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64)) y #s(literal 1 binary64)) | |
| accuracy | 24.303305710772683 | #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (*.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64)) y #s(literal 1 binary64))) | |
| accuracy | 28.64287458150957 | #s(approx (* (+ (/ 1/2 x) 1/2) y) (*.f64 #s(literal 1/2 binary64) y)) | |
| accuracy | 0.0 | (neg.f64 y) | |
| accuracy | 0.00390625 | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (- 1 y) (neg.f64 y))) x) | |
| accuracy | 25.245271282035482 | #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (- 1 y) (neg.f64 y))) | |
| accuracy | 37.27391848770793 | #s(approx (- 1 y) (neg.f64 y)) | |
| accuracy | 0.0078125 | (-.f64 x (*.f64 x y)) | |
| accuracy | 5.897740958268322 | (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (-.f64 x (*.f64 x y))) x) | |
| accuracy | 22.69089279764923 | #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (-.f64 x (*.f64 x y))) | |
| accuracy | 24.303305710772683 | #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (-.f64 x (*.f64 x y))) x))) |
| 100.0ms | 116× | 1 | valid |
| 48.0ms | 140× | 0 | valid |
Compiled 1 100 to 93 computations (91.5% saved)
ival-mult: 23.0ms (28.6% of total)ival-add: 17.0ms (21.1% of total)ival-log: 16.0ms (19.9% of total)ival-div: 9.0ms (11.2% of total)adjust: 7.0ms (8.7% of total)ival-sub: 5.0ms (6.2% of total)ival-exp: 3.0ms (3.7% of total)ival-neg: 1.0ms (1.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (-.f64 x (*.f64 x y))) x))) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (-.f64 x (*.f64 x y))) x))) |
#s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (-.f64 x (*.f64 x y))) x)) |
(/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (-.f64 x (*.f64 x y))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (- 1 y) (neg.f64 y))) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (- 1 y) (neg.f64 y))) |
#s(approx (- 1 y) (neg.f64 y)) |
(neg.f64 y) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (*.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (*.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64)) y #s(literal 1 binary64))) |
(fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (*.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (*.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64)) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x))) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x))) |
#s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x)) |
(/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) y) y)) x))) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) y) y)) x))) |
#s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) y) y)) x)) |
(/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) y) y)) x) |
#s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (-.f64 x (*.f64 x y))) |
(-.f64 x (*.f64 x y)) |
#s(approx (* (+ (/ 1/2 x) 1/2) y) (*.f64 #s(literal 1/2 binary64) y)) |
#s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 y y) #s(literal 1/2 binary64)) |
#s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) y) y)) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) y) y) |
| 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))))))) |
(* 1/2 (/ (pow y 2) x)) |
(/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) x) |
(* 1/2 (/ y x)) |
(/ (+ (* 1/2 y) (* x (- (* 1/2 y) 1))) x) |
(* 1/2 (pow y 2)) |
(+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) |
(* x (- 1 y)) |
(/ (+ (* 1/2 y) (* 1/2 (* x y))) x) |
(+ (* 1/2 (* x (pow y 2))) (* 1/2 (pow y 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 (* y (- (* 1/2 y) 1))) |
(+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1)))) |
(- (* 1/2 y) 1) |
(- (+ (* 1/2 y) (* 1/2 (/ y x))) 1) |
(* x (+ 1 (* y (- (* 1/2 y) 1)))) |
(* x (+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1))))) |
(* 1/2 y) |
(+ (* 1/2 y) (* 1/2 (/ y x))) |
(* 1/2 (* x (pow y 2))) |
(* x (+ (* 1/2 (/ (pow y 2) x)) (* 1/2 (pow y 2)))) |
(* -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 (* x (+ (* -1 (+ 1 (* y (- (* 1/2 y) 1)))) (* -1/2 (/ (pow y 2) x))))) |
(* x (+ 1 (* -1 y))) |
(* -1 (* x (+ (* -1/2 (/ (pow y 2) x)) (* -1/2 (pow y 2))))) |
(+ (* -1 (/ y x)) (/ 1 x)) |
(+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x)) |
(+ (* y (- (* y (+ (* -1 (/ (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) x)) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))) (/ 1 x))) (/ 1 x)) |
(+ 1 (* -1 y)) |
(+ 1 (* y (- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1))) |
(+ 1 (* y (- (* y (+ 1/2 (+ (* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) (* 1/2 (/ 1 x))))) 1))) |
(* -1 y) |
-1 |
(- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1) |
x |
(+ x (* -1 (* x y))) |
(+ x (* y (+ (* -1 x) (* y (+ 1/2 (* 1/2 x)))))) |
(* y (+ 1/2 (* 1/2 (/ 1 x)))) |
(* (pow y 2) (+ 1/2 (* 1/2 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))))) |
(* (pow y 2) (+ 1/2 (* 1/2 (/ 1 x)))) |
(* (pow y 2) (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1 y))) |
(* (pow y 2) (- (+ 1/2 (+ (* 1/2 (/ 1 x)) (/ 1 (pow y 2)))) (/ 1 y))) |
(/ (* (pow y 2) (+ 1/2 (* 1/2 x))) x) |
(* y (- (/ 1 y) 1)) |
(* y (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1 y))) |
(* (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)))))) |
(* -1 (* x y)) |
(* y (- (/ x y) x)) |
(/ (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))) |
(* (pow y 2) (+ 1/2 (+ (* -1 (/ (- 1 (/ 1 y)) y)) (* 1/2 (/ 1 x))))) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 (* y (+ (* -1 (+ 1/2 (* 1/2 (/ 1 x)))) (/ 1 y)))) |
(* (pow y 2) (+ 1/2 (+ (* -1 (/ (+ x (* -1 (/ x y))) y)) (* 1/2 x)))) |
(* -1 (* y (- (* -1 (/ x y)) (* -1 x)))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 36.0ms | y | @ | -inf | ((/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/ (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) x) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (- 1 y) (neg y) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (- (* (+ (/ 1/2 x) 1/2) y) 1) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/ (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) x) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/ (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) x) (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (- x (* x y)) (* (+ (/ 1/2 x) 1/2) y) (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (* (* y y) 1/2) (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (* (* (+ (* 1/2 x) 1/2) y) y)) |
| 3.0ms | y | @ | inf | ((/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/ (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) x) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (- 1 y) (neg y) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (- (* (+ (/ 1/2 x) 1/2) y) 1) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/ (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) x) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/ (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) x) (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (- x (* x y)) (* (+ (/ 1/2 x) 1/2) y) (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (* (* y y) 1/2) (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (* (* (+ (* 1/2 x) 1/2) y) y)) |
| 3.0ms | x | @ | -inf | ((/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/ (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) x) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (- 1 y) (neg y) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (- (* (+ (/ 1/2 x) 1/2) y) 1) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/ (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) x) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/ (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) x) (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (- x (* x y)) (* (+ (/ 1/2 x) 1/2) y) (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (* (* y y) 1/2) (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (* (* (+ (* 1/2 x) 1/2) y) y)) |
| 3.0ms | x | @ | inf | ((/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/ (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) x) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (- 1 y) (neg y) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (- (* (+ (/ 1/2 x) 1/2) y) 1) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/ (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) x) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/ (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) x) (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (- x (* x y)) (* (+ (/ 1/2 x) 1/2) y) (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (* (* y y) 1/2) (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (* (* (+ (* 1/2 x) 1/2) y) y)) |
| 2.0ms | y | @ | 0 | ((/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/ (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) x) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (- 1 y) (neg y) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (- (* (+ (/ 1/2 x) 1/2) y) 1) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/ (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) x) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/ (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) x) (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (- x (* x y)) (* (+ (/ 1/2 x) 1/2) y) (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (* (* y y) 1/2) (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (* (* (+ (* 1/2 x) 1/2) y) y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 393 | 2280 |
| 1 | 1434 | 1998 |
| 2 | 6613 | 1903 |
| 0 | 8065 | 1817 |
| 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))))))) |
(* 1/2 (/ (pow y 2) x)) |
(/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) x) |
(* 1/2 (/ y x)) |
(/ (+ (* 1/2 y) (* x (- (* 1/2 y) 1))) x) |
(* 1/2 (pow y 2)) |
(+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) |
(* x (- 1 y)) |
(/ (+ (* 1/2 y) (* 1/2 (* x y))) x) |
(+ (* 1/2 (* x (pow y 2))) (* 1/2 (pow y 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 (* y (- (* 1/2 y) 1))) |
(+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1)))) |
(- (* 1/2 y) 1) |
(- (+ (* 1/2 y) (* 1/2 (/ y x))) 1) |
(* x (+ 1 (* y (- (* 1/2 y) 1)))) |
(* x (+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1))))) |
(* 1/2 y) |
(+ (* 1/2 y) (* 1/2 (/ y x))) |
(* 1/2 (* x (pow y 2))) |
(* x (+ (* 1/2 (/ (pow y 2) x)) (* 1/2 (pow y 2)))) |
(* -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 (* x (+ (* -1 (+ 1 (* y (- (* 1/2 y) 1)))) (* -1/2 (/ (pow y 2) x))))) |
(* x (+ 1 (* -1 y))) |
(* -1 (* x (+ (* -1/2 (/ (pow y 2) x)) (* -1/2 (pow y 2))))) |
(+ (* -1 (/ y x)) (/ 1 x)) |
(+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x)) |
(+ (* y (- (* y (+ (* -1 (/ (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) x)) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))) (/ 1 x))) (/ 1 x)) |
(+ 1 (* -1 y)) |
(+ 1 (* y (- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1))) |
(+ 1 (* y (- (* y (+ 1/2 (+ (* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) (* 1/2 (/ 1 x))))) 1))) |
(* -1 y) |
-1 |
(- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1) |
x |
(+ x (* -1 (* x y))) |
(+ x (* y (+ (* -1 x) (* y (+ 1/2 (* 1/2 x)))))) |
(* y (+ 1/2 (* 1/2 (/ 1 x)))) |
(* (pow y 2) (+ 1/2 (* 1/2 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))))) |
(* (pow y 2) (+ 1/2 (* 1/2 (/ 1 x)))) |
(* (pow y 2) (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1 y))) |
(* (pow y 2) (- (+ 1/2 (+ (* 1/2 (/ 1 x)) (/ 1 (pow y 2)))) (/ 1 y))) |
(/ (* (pow y 2) (+ 1/2 (* 1/2 x))) x) |
(* y (- (/ 1 y) 1)) |
(* y (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1 y))) |
(* (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)))))) |
(* -1 (* x y)) |
(* y (- (/ x y) x)) |
(/ (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))) |
(* (pow y 2) (+ 1/2 (+ (* -1 (/ (- 1 (/ 1 y)) y)) (* 1/2 (/ 1 x))))) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 (* y (+ (* -1 (+ 1/2 (* 1/2 (/ 1 x)))) (/ 1 y)))) |
(* (pow y 2) (+ 1/2 (+ (* -1 (/ (+ x (* -1 (/ x y))) y)) (* 1/2 x)))) |
(* -1 (* y (- (* -1 (/ x y)) (* -1 x)))) |
| Outputs |
|---|
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (* x (+ (log x) (log (/ 1 y))))) x) |
(/.f64 (fma.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) x #s(literal 1 binary64)) x) |
(/ (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y))))))) x) |
(/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) y)) x (+.f64 (neg.f64 (log.f64 y)) (log.f64 x))) x #s(literal 1 binary64)) x) |
(/ (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (* x (+ (* -1 (/ (+ (log x) (log (/ 1 y))) y)) (+ (* 1/6 (pow (+ (log x) (log (/ 1 y))) 3)) (* 1/2 (/ 1 (pow y 2))))))) (/ 1 y))))))) x) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) #s(literal 3 binary64)) #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) (neg.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)))) y)) x (-.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) y))) x (+.f64 (neg.f64 (log.f64 y)) (log.f64 x))) x #s(literal 1 binary64)) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* x (+ (log x) (log (/ 1 y))))) |
(fma.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) x #s(literal 1 binary64)) |
(+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y))))))) |
(fma.f64 (fma.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) y)) x (+.f64 (neg.f64 (log.f64 y)) (log.f64 x))) x #s(literal 1 binary64)) |
(+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (* x (+ (* -1 (/ (+ (log x) (log (/ 1 y))) y)) (+ (* 1/6 (pow (+ (log x) (log (/ 1 y))) 3)) (* 1/2 (/ 1 (pow y 2))))))) (/ 1 y))))))) |
(fma.f64 (fma.f64 (fma.f64 (fma.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) #s(literal 3 binary64)) #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) (neg.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)))) y)) x (-.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) y))) x (+.f64 (neg.f64 (log.f64 y)) (log.f64 x))) x #s(literal 1 binary64)) |
(* 1/2 (/ (pow y 2) x)) |
(*.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) |
(/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) x) |
(/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x) |
(* 1/2 (/ y x)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) x) y) |
(/ (+ (* 1/2 y) (* x (- (* 1/2 y) 1))) x) |
(/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) x (*.f64 #s(literal 1/2 binary64) y)) x) |
(* 1/2 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 1/2 binary64)) |
(+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) |
(fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) |
(* x (- 1 y)) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(/ (+ (* 1/2 y) (* 1/2 (* x y))) x) |
(*.f64 y (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) x)) |
(+ (* 1/2 (* x (pow y 2))) (* 1/2 (pow y 2))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) y) y) |
(/ (exp (* -1 y)) x) |
(/.f64 (exp.f64 (neg.f64 y)) x) |
(/ (+ (exp (* -1 y)) (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) x) |
(/.f64 (fma.f64 (exp.f64 (neg.f64 y)) (*.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 y))) x) |
(/ (+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2)))) x) |
(/.f64 (+.f64 (/.f64 (fma.f64 (*.f64 (exp.f64 (neg.f64 y)) (*.f64 y y)) #s(literal 1/2 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/6 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/8 binary64))) (exp.f64 (neg.f64 y))) x)) x) (exp.f64 (neg.f64 y))) x) |
(/ (+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (+ (/ (* (exp (* -1 y)) (+ (* 1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (+ (* 1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) (pow x 3)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2))))) x) |
(/.f64 (fma.f64 (exp.f64 (neg.f64 y)) (/.f64 (+.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal 1/48 binary64) (-.f64 (*.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 y y)) (*.f64 #s(literal -2 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 #s(literal -1/24 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 30 binary64)) (pow.f64 y #s(literal 4 binary64))))) x) (fma.f64 (*.f64 #s(literal -2 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/6 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/8 binary64)))) (*.f64 x x)) (fma.f64 (exp.f64 (neg.f64 y)) (*.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 y)))) x) |
(exp (* -1 y)) |
(exp.f64 (neg.f64 y)) |
(+ (exp (* -1 y)) (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) |
(fma.f64 (exp.f64 (neg.f64 y)) (*.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 y))) |
(+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2)))) |
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(fma.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) x) (pow.f64 (neg.f64 x) x)) x (/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) x) (pow.f64 (neg.f64 x) x)) #s(literal 1/2 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (neg.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) x) (pow.f64 (neg.f64 x) x))) (/.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))) y))) x) (neg.f64 y))) y) #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) x) (pow.f64 (neg.f64 x) x)) x)) |
(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 (*.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 (/ (* (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 (*.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))) |
(+ (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 (*.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) x) (pow.f64 (neg.f64 x) x)) #s(literal 1/2 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (neg.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) x) (pow.f64 (neg.f64 x) x))) (/.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))) y))) (neg.f64 y))) (neg.f64 y))) |
(* (pow y 2) (+ 1/2 (+ (* -1 (/ (- 1 (/ 1 y)) y)) (* 1/2 (/ 1 x))))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y) #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y) y) |
(* -1 (* y (- 1 (/ 1 y)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (neg.f64 y)) |
(* -1 (* y (+ (* -1 (+ 1/2 (* 1/2 (/ 1 x)))) (/ 1 y)))) |
(neg.f64 (fma.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal -1/2 binary64)) y #s(literal 1 binary64))) |
(* (pow y 2) (+ 1/2 (+ (* -1 (/ (+ x (* -1 (/ x y))) y)) (* 1/2 x)))) |
(*.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64) (/.f64 (-.f64 x (/.f64 x y)) (neg.f64 y))) (*.f64 y y)) |
(* -1 (* y (- (* -1 (/ x y)) (* -1 x)))) |
(*.f64 (-.f64 x (/.f64 x y)) (neg.f64 y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 56 | 730 |
| 0 | 77 | 730 |
| 1 | 271 | 710 |
| 2 | 1803 | 710 |
| 0 | 8464 | 671 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (-.f64 x (*.f64 x y))) x))) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (-.f64 x (*.f64 x y))) x))) |
#s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (-.f64 x (*.f64 x y))) x)) |
(/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (-.f64 x (*.f64 x y))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (- 1 y) (neg.f64 y))) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (- 1 y) (neg.f64 y))) |
#s(approx (- 1 y) (neg.f64 y)) |
(neg.f64 y) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (*.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (*.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64)) y #s(literal 1 binary64))) |
(fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (*.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (*.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64)) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x))) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x))) |
#s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x)) |
(/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) y) y)) x))) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) y) y)) x))) |
#s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) y) y)) x)) |
(/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) y) y)) x) |
#s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (-.f64 x (*.f64 x y))) |
(-.f64 x (*.f64 x y)) |
#s(approx (* (+ (/ 1/2 x) 1/2) y) (*.f64 #s(literal 1/2 binary64) y)) |
#s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 y y) #s(literal 1/2 binary64)) |
#s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) y) y)) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) y) y) |
| Outputs |
|---|
(/.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (-.f64 x (*.f64 y x))) x)))))) (neg.f64 (neg.f64 (neg.f64 x)))) |
(/.f64 (neg.f64 (neg.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (-.f64 x (*.f64 y x))) x))))) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (-.f64 x (*.f64 y x))) x)))) (neg.f64 x)) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (-.f64 x (*.f64 y x))) x))) x) |
(neg.f64 (/.f64 (neg.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (-.f64 x (*.f64 y x))) x)))) x)) |
(neg.f64 (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (-.f64 x (*.f64 y x))) x))) (neg.f64 x))) |
#s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (-.f64 x (*.f64 y x))) x))) |
#s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (-.f64 x (*.f64 y x))) x)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (-.f64 x (*.f64 y x)))))) (neg.f64 (neg.f64 (neg.f64 x)))) |
(/.f64 (neg.f64 (neg.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (-.f64 x (*.f64 y x))))) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (-.f64 x (*.f64 y x)))) (neg.f64 x)) |
(/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (-.f64 x (*.f64 y x))) x) |
(neg.f64 (/.f64 (neg.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (-.f64 x (*.f64 y x)))) x)) |
(neg.f64 (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (-.f64 x (*.f64 y x))) (neg.f64 x))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (- 1 y) (neg.f64 y)))))) (neg.f64 (neg.f64 (neg.f64 x)))) |
(/.f64 (neg.f64 (neg.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (- 1 y) (neg.f64 y))))) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (- 1 y) (neg.f64 y)))) (neg.f64 x)) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (- 1 y) (neg.f64 y))) x) |
(neg.f64 (/.f64 (neg.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (- 1 y) (neg.f64 y)))) x)) |
(neg.f64 (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (- 1 y) (neg.f64 y))) (neg.f64 x))) |
#s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (- 1 y) (neg.f64 y))) |
#s(approx (- 1 y) (neg.f64 y)) |
(neg.f64 y) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (*.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64)) y #s(literal 1 binary64)))))) (neg.f64 (neg.f64 (neg.f64 x)))) |
(/.f64 (neg.f64 (neg.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (*.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64)) y #s(literal 1 binary64))))) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (*.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64)) y #s(literal 1 binary64)))) (neg.f64 x)) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (*.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) |
(neg.f64 (/.f64 (neg.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (*.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64)) y #s(literal 1 binary64)))) x)) |
(neg.f64 (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (*.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64)) y #s(literal 1 binary64))) (neg.f64 x))) |
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(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1/8 binary64)) (*.f64 y y))) (neg.f64 (fma.f64 (*.f64 x #s(literal 1/4 binary64)) x (-.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 1/4 binary64)))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 y y)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1/8 binary64)) (*.f64 y y)) (fma.f64 (*.f64 x #s(literal 1/4 binary64)) x (-.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 1/4 binary64))))) |
Compiled 12 395 to 1 263 computations (89.8% saved)
13 alts after pruning (5 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 230 | 4 | 234 |
| Fresh | 1 | 1 | 2 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 5 | 5 |
| Total | 233 | 13 | 246 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 39.2% | (/.f64 (pow.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) x) x) |
| ✓ | 84.3% | (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) |
| ✓ | 65.2% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) |
| ✓ | 63.6% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (*.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) |
| 60.5% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (- (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) y) 1) (*.f64 (/.f64 #s(literal -1/3 binary64) x) (/.f64 (*.f64 y y) x))) y #s(literal 1 binary64))) x) | |
| ✓ | 60.6% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) x) |
| ✓ | 4.1% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (- 1 y) (neg.f64 y))) x) |
| 59.8% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (fma.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) (/.f64 x x) (/.f64 (*.f64 (*.f64 (neg.f64 x) y) (*.f64 y x)) (fma.f64 y x x)))) x))) x) | |
| ✓ | 5.1% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x))) x) |
| 9.5% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) #s(approx (- x (* x y)) (*.f64 (neg.f64 y) x))) x))) x) | |
| 12.5% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) #s(approx (* (* (+ (* 1/2 x) 1/2) y) y) (*.f64 (*.f64 (*.f64 y x) y) #s(literal 1/2 binary64)))) x))) x) | |
| ✓ | 76.1% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) |
| 53.9% | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 (-.f64 (*.f64 (/.f64 (fma.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #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))) x) y) (/.f64 #s(literal 1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))) |
Compiled 1 322 to 515 computations (61% saved)
| Inputs |
|---|
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (- 1 y) (neg.f64 y))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (*.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) #s(approx (- x (* x y)) (*.f64 (neg.f64 y) x))) x))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (-.f64 x (*.f64 x y))) x))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (*.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64)))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) #s(approx (* (* (+ (* 1/2 x) 1/2) y) y) (*.f64 (*.f64 (*.f64 y x) y) #s(literal 1/2 binary64)))) x))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) y) y)) x))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y x y)) x)) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (- (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) y) 1) (*.f64 (/.f64 #s(literal -1/3 binary64) x) (/.f64 (*.f64 y y) x))) y #s(literal 1 binary64))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x))) x) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal -1/2 binary64) x)) y) (/.f64 #s(literal 1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (fma.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) (/.f64 x x) (/.f64 (*.f64 (*.f64 (neg.f64 x) y) (*.f64 y x)) (fma.f64 y x x)))) x))) x) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 (-.f64 (*.f64 (/.f64 (fma.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #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))) 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 (-.f64 (*.f64 (-.f64 (/.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) #s(literal 1/2 binary64)) x) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) y) (/.f64 #s(literal 1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))) |
(/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) |
(/.f64 (pow.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) x) x) |
(/.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) x) |
(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) |
| Outputs |
|---|
(/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) |
(/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) |
3 calls:
| 10.0ms | y |
| 7.0ms | (/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) |
| 6.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 3 | x |
| 86.8% | 2 | y |
| 95.0% | 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) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (- 1 y) (neg.f64 y))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (*.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) #s(approx (- x (* x y)) (*.f64 (neg.f64 y) x))) x))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (-.f64 x (*.f64 x y))) x))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (*.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64)))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) #s(approx (* (* (+ (* 1/2 x) 1/2) y) y) (*.f64 (*.f64 (*.f64 y x) y) #s(literal 1/2 binary64)))) x))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) y) y)) x))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y x y)) x)) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (- (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) y) 1) (*.f64 (/.f64 #s(literal -1/3 binary64) x) (/.f64 (*.f64 y y) x))) y #s(literal 1 binary64))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x))) x) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal -1/2 binary64) x)) y) (/.f64 #s(literal 1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (fma.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) (/.f64 x x) (/.f64 (*.f64 (*.f64 (neg.f64 x) y) (*.f64 y x)) (fma.f64 y x x)))) x))) x) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 (-.f64 (*.f64 (/.f64 (fma.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #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))) 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 (-.f64 (*.f64 (-.f64 (/.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) #s(literal 1/2 binary64)) x) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) y) (/.f64 #s(literal 1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))) |
| Outputs |
|---|
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y x y)) x)) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x))) x) |
3 calls:
| 7.0ms | (/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) |
| 5.0ms | x |
| 5.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.0% | 3 | y |
| 79.7% | 3 | (/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) |
| 83.5% | 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) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (- 1 y) (neg.f64 y))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (*.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) #s(approx (- x (* x y)) (*.f64 (neg.f64 y) x))) x))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (-.f64 x (*.f64 x y))) x))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (*.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64)))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) #s(approx (* (* (+ (* 1/2 x) 1/2) y) y) (*.f64 (*.f64 (*.f64 y x) y) #s(literal 1/2 binary64)))) x))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) y) y)) x))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y x y)) x)) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (- (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) y) 1) (*.f64 (/.f64 #s(literal -1/3 binary64) x) (/.f64 (*.f64 y y) x))) y #s(literal 1 binary64))) x) |
| Outputs |
|---|
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y x y)) x)) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y x y)) x)) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) |
1 calls:
| 4.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.4% | 3 | x |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (- 1 y) (neg.f64 y))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (*.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) #s(approx (- x (* x y)) (*.f64 (neg.f64 y) x))) x))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (-.f64 x (*.f64 x y))) x))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (*.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64)))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) #s(approx (* (* (+ (* 1/2 x) 1/2) y) y) (*.f64 (*.f64 (*.f64 y x) y) #s(literal 1/2 binary64)))) x))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) y) y)) x))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) |
| Outputs |
|---|
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (-.f64 x (*.f64 x y))) x))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (-.f64 x (*.f64 x y))) x))) x) |
1 calls:
| 9.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.8% | 3 | x |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (- 1 y) (neg.f64 y))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (*.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) #s(approx (- x (* x y)) (*.f64 (neg.f64 y) x))) x))) x) |
| Outputs |
|---|
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (*.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) |
1 calls:
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.8% | 2 | x |
Compiled 1 to 2 computations (-100% saved)
Total -46.2b remaining (-302.1%)
Threshold costs -46.2b (-302.1%)
| Inputs |
|---|
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (- 1 y) (neg.f64 y))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) x) |
| Outputs |
|---|
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) |
3 calls:
| 2.0ms | (/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) |
| 2.0ms | x |
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 76.1% | 1 | (/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) |
| 76.1% | 1 | y |
| 76.1% | 1 | x |
Compiled 13 to 12 computations (7.7% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 2.574552018159546e-11 | 1.1461216476588142e-10 |
| 21.0ms | -8596196.310946088 | -10897.8035609428 |
| 20.0ms | 224× | 0 | valid |
| 4.0ms | 56× | 0 | invalid |
Compiled 392 to 321 computations (18.1% saved)
ival-log: 7.0ms (41.2% of total)ival-div: 4.0ms (23.6% of total)ival-add: 2.0ms (11.8% of total)ival-exp: 2.0ms (11.8% of total)ival-mult: 2.0ms (11.8% 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 |
|---|---|---|
| 53.0ms | 2.3021190319711365e+166 | 2.802068372865664e+169 |
| 1.0ms | -8596196.310946088 | -10897.8035609428 |
| 25.0ms | 112× | 1 | valid |
| 1.0ms | 16× | 0 | valid |
| 1.0ms | 12× | 0 | invalid |
Compiled 830 to 589 computations (29% saved)
ival-log: 12.0ms (54% of total)ival-div: 3.0ms (13.5% of total)adjust: 2.0ms (9% of total)ival-exp: 2.0ms (9% of total)ival-mult: 2.0ms (9% of total)ival-add: 1.0ms (4.5% 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 |
|---|---|---|
| 73.0ms | 2.3021190319711365e+166 | 2.802068372865664e+169 |
| 1.0ms | -8596196.310946088 | -10897.8035609428 |
| 65.0ms | 69× | 1 | valid |
| 1.0ms | 11× | 0 | valid |
| 0.0ms | 3× | 0 | invalid |
Compiled 750 to 541 computations (27.9% saved)
ival-log: 25.0ms (80.3% of total)ival-div: 2.0ms (6.4% of total)adjust: 1.0ms (3.2% of total)ival-add: 1.0ms (3.2% of total)ival-exp: 1.0ms (3.2% of total)ival-mult: 1.0ms (3.2% 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 |
|---|---|---|
| 1.0ms | 2.3021190319711365e+166 | 2.802068372865664e+169 |
| 1.0ms | -8596196.310946088 | -10897.8035609428 |
Compiled 1 038 to 685 computations (34% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | -8596196.310946088 | -10897.8035609428 |
Compiled 342 to 261 computations (23.7% saved)
| 1× | egg-herbie |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 76 | 319 |
| 1 | 123 | 297 |
| 2 | 211 | 297 |
| 3 | 436 | 295 |
| 4 | 981 | 295 |
| 5 | 3272 | 295 |
| 6 | 7765 | 295 |
| 1× | node limit |
| Inputs |
|---|
(if (<=.f64 x #s(literal -11000 binary64)) (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) (if (<=.f64 x #s(literal 4410161389954167/38685626227668133590597632 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 -11000 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y x y)) x)) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) (if (<=.f64 x #s(literal 899999999999999982373845132339293042303583314180567515123541729428159887415772794493635783316095654959680280911301880859334999564869240431932396442196386838350099644416 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x))) x))) |
(if (<=.f64 x #s(literal -11000 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y x y)) x)) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) (if (<=.f64 x #s(literal 3999999999999999735441979338971898249487800865721326074446771289230802586798414590502769730383383788683658218398794085902157523253779251173117834021614914469977540001792 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y x y)) x)) #s(literal 1 binary64)) y #s(literal 1 binary64))) x))) |
(if (<=.f64 x #s(literal -11000 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (-.f64 x (*.f64 x y))) x))) x) (if (<=.f64 x #s(literal 3999999999999999735441979338971898249487800865721326074446771289230802586798414590502769730383383788683658218398794085902157523253779251173117834021614914469977540001792 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (-.f64 x (*.f64 x y))) x))) x))) |
(if (<=.f64 x #s(literal -11000 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (*.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x)) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) |
| Outputs |
|---|
(if (<=.f64 x #s(literal -11000 binary64)) (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) (if (<=.f64 x #s(literal 4410161389954167/38685626227668133590597632 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x))) |
(if (or (<=.f64 x #s(literal -11000 binary64)) (not (<=.f64 x #s(literal 4410161389954167/38685626227668133590597632 binary64)))) (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x)) |
(if (<=.f64 x #s(literal -11000 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y x y)) x)) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) (if (<=.f64 x #s(literal 899999999999999982373845132339293042303583314180567515123541729428159887415772794493635783316095654959680280911301880859334999564869240431932396442196386838350099644416 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x))) x))) |
(if (<=.f64 x #s(literal -11000 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y x y)) x)) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) (if (<=.f64 x #s(literal 3999999999999999735441979338971898249487800865721326074446771289230802586798414590502769730383383788683658218398794085902157523253779251173117834021614914469977540001792 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y x y)) x)) #s(literal 1 binary64)) y #s(literal 1 binary64))) x))) |
(if (or (<=.f64 x #s(literal -11000 binary64)) (not (<=.f64 x #s(literal 3999999999999999735441979338971898249487800865721326074446771289230802586798414590502769730383383788683658218398794085902157523253779251173117834021614914469977540001792 binary64)))) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y x y)) x)) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x)) |
(if (<=.f64 x #s(literal -11000 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (-.f64 x (*.f64 x y))) x))) x) (if (<=.f64 x #s(literal 3999999999999999735441979338971898249487800865721326074446771289230802586798414590502769730383383788683658218398794085902157523253779251173117834021614914469977540001792 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (-.f64 x (*.f64 x y))) x))) x))) |
(if (or (<=.f64 x #s(literal -11000 binary64)) (not (<=.f64 x #s(literal 3999999999999999735441979338971898249487800865721326074446771289230802586798414590502769730383383788683658218398794085902157523253779251173117834021614914469977540001792 binary64)))) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (+ (/ 1/2 x) 1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (-.f64 x (*.f64 x y))) x))) x) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x)) |
(if (<=.f64 x #s(literal -11000 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 x) 1/2) y) (*.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x)) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 608 | 3490 |
| 1 | 2233 | 3187 |
| 0 | 8410 | 3013 |
| 0 | 554 | 3084 |
| 1 | 1948 | 2626 |
| 0 | 8623 | 2499 |
| 0 | 612 | 3310 |
| 1 | 2194 | 2932 |
| 0 | 8639 | 2783 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 412 to 170 computations (58.7% saved)
Compiled 748 to 216 computations (71.1% saved)
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