
Time bar (total: 7.4s)
| 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 | 3 722× | 1 | valid |
| 415.0ms | 4 534× | 0 | valid |
| 119.0ms | 237× | 0 | invalid |
ival-log: 555.0ms (40.4% of total)ival-mult: 276.0ms (20.1% of total)ival-div: 241.0ms (17.5% of total)ival-exp: 144.0ms (10.5% of total)ival-add: 81.0ms (5.9% of total)adjust: 67.0ms (4.9% of total)ival-true: 7.0ms (0.5% of total)ival-assert: 3.0ms (0.2% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 152 | 38 | (4.3077199311488805e+300 1.8048088601977499e-270) | 1 | (4.978629569902693e-99 2.6930704736758405e+221) | (log.f64 (/.f64 x (+.f64 x y))) |
| 43 | 0 | - | 6 | (-1.061790054204653e+217 -2.073707621790094e-106) | (*.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 | 171 | 0 |
*.f64 | (*.f64 x (log.f64 (/.f64 x (+.f64 x y)))) | n*u | 37 | 0 |
log.f64 | (log.f64 (/.f64 x (+.f64 x y))) | uflow-rescue | 18 | 0 |
| ↳ | (log.f64 (/.f64 x (+.f64 x y))) | underflow | 37 | |
| ↳ | (/.f64 x (+.f64 x y)) | underflow | 18 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 62 | 0 |
| - | 127 | 67 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 62 | 0 | 0 |
| - | 127 | 0 | 67 |
| number | freq |
|---|---|
| 0 | 67 |
| 1 | 152 |
| 2 | 37 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 158.0ms | 98× | 2 | valid |
| 57.0ms | 232× | 1 | valid |
| 15.0ms | 182× | 0 | valid |
Compiled 147 to 36 computations (75.5% saved)
ival-log: 47.0ms (50.6% of total)ival-div: 21.0ms (22.6% of total)ival-exp: 7.0ms (7.5% of total)adjust: 6.0ms (6.5% of total)ival-mult: 6.0ms (6.5% of total)ival-add: 5.0ms (5.4% 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 | 65 |
| 1 | 60 | 51 |
| 2 | 125 | 49 |
| 3 | 333 | 49 |
| 4 | 706 | 49 |
| 5 | 1157 | 47 |
| 6 | 1586 | 47 |
| 7 | 2294 | 47 |
| 8 | 2656 | 47 |
| 9 | 2819 | 47 |
| 10 | 3038 | 47 |
| 11 | 3246 | 47 |
| 12 | 3454 | 47 |
| 13 | 3495 | 47 |
| 14 | 3495 | 47 |
| 15 | 3499 | 47 |
| 0 | 8 | 11 |
| 0 | 14 | 11 |
| 1 | 18 | 9 |
| 2 | 21 | 9 |
| 3 | 21 | 9 |
| 0 | 21 | 9 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) |
| Outputs |
|---|
(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) |
(/.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) x) |
Compiled 11 to 8 computations (27.3% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 78.0% | (/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) |
Compiled 11 to 8 computations (27.3% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (log.f64 (/.f64 x (+.f64 x y))) | |
| cost-diff | 0 | (*.f64 x (log.f64 (/.f64 x (+.f64 x y)))) | |
| cost-diff | 0 | (/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) | |
| cost-diff | 6656 | (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 44 |
| 0 | 14 | 44 |
| 1 | 18 | 40 |
| 2 | 21 | 40 |
| 3 | 21 | 40 |
| 0 | 21 | 40 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) |
(exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) |
(*.f64 x (log.f64 (/.f64 x (+.f64 x y)))) |
x |
(log.f64 (/.f64 x (+.f64 x y))) |
(/.f64 x (+.f64 x y)) |
(+.f64 x y) |
y |
| Outputs |
|---|
(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) |
(/.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) x) |
(exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) |
(pow.f64 (/.f64 x (+.f64 y x)) x) |
(*.f64 x (log.f64 (/.f64 x (+.f64 x y)))) |
(*.f64 (log.f64 (/.f64 x (+.f64 y x))) x) |
x |
(log.f64 (/.f64 x (+.f64 x y))) |
(log.f64 (/.f64 x (+.f64 y x))) |
(/.f64 x (+.f64 x y)) |
(/.f64 x (+.f64 y x)) |
(+.f64 x y) |
(+.f64 y x) |
y |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.00390625 | (/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) | |
| accuracy | 0.015625 | (/.f64 x (+.f64 x y)) | |
| accuracy | 9.266670227434137 | (*.f64 x (log.f64 (/.f64 x (+.f64 x y)))) | |
| accuracy | 34.48465092755312 | (log.f64 (/.f64 x (+.f64 x y))) |
| 35.0ms | 49× | 2 | valid |
| 26.0ms | 116× | 1 | valid |
| 7.0ms | 91× | 0 | valid |
Compiled 90 to 18 computations (80% saved)
ival-log: 33.0ms (58.1% of total)ival-div: 11.0ms (19.4% 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 | |
|---|---|---|---|---|
| 15.0ms | 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))) |
| 3.0ms | 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 | 3083 |
| 1 | 1674 | 2569 |
| 2 | 5667 | 2296 |
| 0 | 8425 | 2173 |
| 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 |
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(fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64)) |
(+ (* -1 (/ y x)) (/ 1 x)) |
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x)) |
(+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x)) |
(fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 (/.f64 y x) y) (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) 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)) |
(fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 (neg.f64 y) x) (+.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)) |
(* y (- (* 1/2 (/ y x)) 1)) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) y #s(literal -1 binary64)) y) |
(* y (- (* y (+ (* -1/3 (/ y (pow x 2))) (* 1/2 (/ 1 x)))) 1)) |
(*.f64 (fma.f64 (fma.f64 (/.f64 (/.f64 y x) x) #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal -1 binary64)) y) |
(* y (- (* y (+ (* y (- (* 1/4 (/ y (pow x 3))) (* 1/3 (/ 1 (pow x 2))))) (* 1/2 (/ 1 x)))) 1)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64))) #s(literal 1/4 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) y (/.f64 #s(literal 1/2 binary64) x)) y #s(literal -1 binary64)) y) |
(* y (- (* 1/2 (/ y (pow x 2))) (/ 1 x))) |
(*.f64 (fma.f64 (/.f64 (/.f64 y x) x) #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) y) |
(* y (- (* y (+ (* -1/3 (/ y (pow x 3))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64))) #s(literal -1/3 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) y (/.f64 #s(literal -1 binary64) x)) y) |
(* y (- (* y (+ (* y (- (* 1/4 (/ y (pow x 4))) (* 1/3 (/ 1 (pow x 3))))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 y (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64) (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)))) y (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) y (/.f64 #s(literal -1 binary64) x)) y) |
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x)))) |
(fma.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 y (pow.f64 x #s(literal 3 binary64)))) y (/.f64 #s(literal -1 binary64) x)) y #s(literal 1 binary64)) |
(exp (* x (+ (log x) (log (/ 1 y))))) |
(pow.f64 (exp.f64 x) (-.f64 (log.f64 x) (log.f64 y))) |
(+ (exp (* x (+ (log x) (log (/ 1 y))))) (* -1 (/ (* (pow x 2) (exp (* x (+ (log x) (log (/ 1 y)))))) y))) |
(fma.f64 (neg.f64 x) (*.f64 (pow.f64 (exp.f64 x) (-.f64 (log.f64 x) (log.f64 y))) (/.f64 x y)) (pow.f64 (exp.f64 x) (-.f64 (log.f64 x) (log.f64 y)))) |
(+ (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1 (/ (* (pow x 2) (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (pow y 2)))) |
(fma.f64 (/.f64 (pow.f64 (exp.f64 x) (-.f64 (log.f64 x) (log.f64 y))) y) (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))) y) (*.f64 (neg.f64 x) x)) (pow.f64 (exp.f64 x) (-.f64 (log.f64 x) (log.f64 y)))) |
(+ (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1 (/ (* (pow x 2) (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (+ (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (+ (* -1/6 (pow x 6)) (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* -2 (pow x 3)) (* 6 (pow x 3))))))))) (pow y 3)) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (pow y 2))))) |
(fma.f64 (pow.f64 (exp.f64 x) (-.f64 (log.f64 x) (log.f64 y))) (-.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))) y) (/.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) x) #s(literal -1/2 binary64) (fma.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)) x) #s(literal 1/6 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/6 binary64)))) (pow.f64 y #s(literal 3 binary64)))) (*.f64 x (/.f64 x y))) (pow.f64 (exp.f64 x) (-.f64 (log.f64 x) (log.f64 y)))) |
(/ (exp (* x (+ (log x) (log (/ 1 y))))) x) |
(/.f64 (pow.f64 (exp.f64 x) (-.f64 (log.f64 x) (log.f64 y))) x) |
(+ (* -1 (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (/ (exp (* x (+ (log x) (log (/ 1 y))))) x)) |
(fma.f64 (pow.f64 (exp.f64 x) (-.f64 (log.f64 x) (log.f64 y))) (/.f64 (neg.f64 x) y) (/.f64 (pow.f64 (exp.f64 x) (-.f64 (log.f64 x) (log.f64 y))) x)) |
(+ (* -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))))) |
(fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))) y) #s(literal 1 binary64)) (/.f64 (pow.f64 (exp.f64 x) (-.f64 (log.f64 x) (log.f64 y))) x) (*.f64 (pow.f64 (exp.f64 x) (-.f64 (log.f64 x) (log.f64 y))) (/.f64 (neg.f64 x) y))) |
(+ (* -1 (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (+ (/ (exp (* x (+ (log x) (log (/ 1 y))))) x) (+ (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (+ (* -1/6 (pow x 6)) (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* -2 (pow x 3)) (* 6 (pow x 3))))))))) (* x (pow y 3))) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x (pow y 2)))))) |
(fma.f64 (/.f64 (pow.f64 (exp.f64 x) (-.f64 (log.f64 x) (log.f64 y))) x) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))) y) (/.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) x) #s(literal -1/2 binary64) (fma.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)) x) #s(literal 1/6 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/6 binary64)))) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (pow.f64 (exp.f64 x) (-.f64 (log.f64 x) (log.f64 y))) (/.f64 (neg.f64 x) y) (/.f64 (pow.f64 (exp.f64 x) (-.f64 (log.f64 x) (log.f64 y))) x))) |
(+ (* -1 (/ (pow x 2) y)) (* x (+ (log x) (log (/ 1 y))))) |
(*.f64 (-.f64 (-.f64 (log.f64 x) (log.f64 y)) (/.f64 x y)) x) |
(+ (* -1 (/ (pow x 2) y)) (+ (* 1/2 (/ (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2)))) (pow y 2))) (* x (+ (log x) (log (/ 1 y)))))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (*.f64 (-.f64 (-.f64 (log.f64 x) (log.f64 y)) (/.f64 x y)) x)) |
(+ (* -1 (/ (pow x 2) y)) (+ (* 1/6 (/ (* x (+ (* -6 (pow x 3)) (+ (* -2 (pow x 3)) (* 6 (pow x 3))))) (pow y 3))) (+ (* 1/2 (/ (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2)))) (pow y 2))) (* x (+ (log x) (log (/ 1 y))))))) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (*.f64 (-.f64 (-.f64 (log.f64 x) (log.f64 y)) (/.f64 x y)) x))) |
(+ (log x) (+ (log (/ 1 y)) (+ (* -1 (/ x y)) (* 1/2 (/ (+ (* -1 (pow x 2)) (* 2 (pow x 2))) (pow y 2)))))) |
(+.f64 (fma.f64 (/.f64 (*.f64 x (/.f64 x y)) y) #s(literal 1/2 binary64) (-.f64 (/.f64 (neg.f64 x) y) (log.f64 y))) (log.f64 x)) |
(+ (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))))))) |
(+.f64 (-.f64 (-.f64 (fma.f64 (/.f64 (*.f64 x (/.f64 x y)) y) #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)) #s(literal 1/6 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 x y)) (log.f64 y)) (log.f64 x)) |
(/ (+ x (* -1 (/ (pow x 2) y))) y) |
(/.f64 (-.f64 x (*.f64 x (/.f64 x y))) y) |
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y) |
(/.f64 (fma.f64 (/.f64 x y) (fma.f64 x (/.f64 x y) (neg.f64 x)) x) y) |
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y) |
(/.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 x) x (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) (neg.f64 y))) y) x) y) |
(exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) |
(*.f64 (pow.f64 (neg.f64 x) x) (pow.f64 (/.f64 #s(literal -1 binary64) y) 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 (neg.f64 x) x) (pow.f64 (/.f64 #s(literal -1 binary64) y) x) (*.f64 (*.f64 (pow.f64 (neg.f64 x) x) (pow.f64 (/.f64 #s(literal -1 binary64) y) x)) (*.f64 (neg.f64 x) (/.f64 x y)))) |
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) y)) (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y))) |
(fma.f64 (pow.f64 (neg.f64 x) x) (pow.f64 (/.f64 #s(literal -1 binary64) y) x) (/.f64 (*.f64 (*.f64 (pow.f64 (neg.f64 x) x) (pow.f64 (/.f64 #s(literal -1 binary64) y) x)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))) y) (*.f64 x x))) (neg.f64 y))) |
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3)))))) (+ (* 1/6 (pow x 6)) (* 1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))))) y)) (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4))))) y)) (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y))) |
(fma.f64 (pow.f64 (neg.f64 x) x) (pow.f64 (/.f64 #s(literal -1 binary64) y) x) (/.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 (neg.f64 x) x) (pow.f64 (/.f64 #s(literal -1 binary64) y) x)) x) x (/.f64 (*.f64 (*.f64 (pow.f64 (neg.f64 x) x) (pow.f64 (/.f64 #s(literal -1 binary64) y) x)) (-.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64)) (/.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))) |
(/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x) |
(/.f64 (*.f64 (pow.f64 (neg.f64 x) x) (pow.f64 (/.f64 #s(literal -1 binary64) y) x)) x) |
(+ (* -1 (/ (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x)) |
(fma.f64 (*.f64 (pow.f64 (neg.f64 x) x) (pow.f64 (/.f64 #s(literal -1 binary64) y) x)) (/.f64 (neg.f64 x) y) (/.f64 (*.f64 (pow.f64 (neg.f64 x) x) (pow.f64 (/.f64 #s(literal -1 binary64) y) x)) x)) |
(+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x y))) (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x)) |
(-.f64 (/.f64 (*.f64 (pow.f64 (neg.f64 x) x) (pow.f64 (/.f64 #s(literal -1 binary64) y) x)) x) (/.f64 (*.f64 (*.f64 (pow.f64 (neg.f64 x) x) (pow.f64 (/.f64 #s(literal -1 binary64) y) x)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 y x)) x)) y)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3)))))) (+ (* 1/6 (pow x 6)) (* 1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))))) (* x y))) (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) x)) y)) (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x)) |
(-.f64 (/.f64 (*.f64 (pow.f64 (neg.f64 x) x) (pow.f64 (/.f64 #s(literal -1 binary64) y) x)) x) (/.f64 (fma.f64 (*.f64 (pow.f64 (neg.f64 x) x) (pow.f64 (/.f64 #s(literal -1 binary64) y) x)) x (/.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (neg.f64 x) x) (pow.f64 (/.f64 #s(literal -1 binary64) y) x)) x) (-.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64)) (/.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))) 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))))) |
(*.f64 x (+.f64 (-.f64 (log.f64 (neg.f64 x)) (/.f64 x y)) (log.f64 (/.f64 #s(literal -1 binary64) 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 (*.f64 x (fma.f64 (*.f64 x (/.f64 x y)) #s(literal -1/2 binary64) 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 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)) x) y) #s(literal -1/6 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 (-.f64 (log.f64 (neg.f64 x)) (/.f64 x y)) (log.f64 (/.f64 #s(literal -1 binary64) y))) |
(+ (log (* -1 x)) (+ (log (/ -1 y)) (* -1 (/ (+ x (* -1/2 (/ (+ (* -1 (pow x 2)) (* 2 (pow x 2))) y))) y)))) |
(+.f64 (-.f64 (log.f64 (neg.f64 x)) (/.f64 (fma.f64 (*.f64 x (/.f64 x y)) #s(literal -1/2 binary64) x) y)) (log.f64 (/.f64 #s(literal -1 binary64) y))) |
(+ (log (* -1 x)) (+ (log (/ -1 y)) (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3)))) y)) (* 1/2 (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) y))) y)))) |
(+.f64 (-.f64 (log.f64 (neg.f64 x)) (/.f64 (-.f64 x (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)) y) #s(literal -1/6 binary64))) y)) y)) (log.f64 (/.f64 #s(literal -1 binary64) y))) |
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y)) |
(/.f64 (fma.f64 x (/.f64 x y) (neg.f64 x)) (neg.f64 y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y)) |
(/.f64 (fma.f64 (/.f64 x y) (fma.f64 x (/.f64 x y) (neg.f64 x)) x) y) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y)) |
(/.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 x) x (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) (neg.f64 y))) y) x) y) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 39 |
| 0 | 14 | 39 |
| 1 | 48 | 35 |
| 2 | 276 | 35 |
| 3 | 2539 | 35 |
| 0 | 8742 | 35 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) |
(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) |
(*.f64 x (log.f64 (/.f64 x (+.f64 x y)))) |
(log.f64 (/.f64 x (+.f64 x y))) |
(/.f64 x (+.f64 x y)) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) x) (neg.f64 x)) (pow.f64 (/.f64 (+.f64 y x) (fma.f64 (-.f64 y x) y (*.f64 x x))) (neg.f64 x))) |
(*.f64 (pow.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (neg.f64 x)) (pow.f64 (/.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) x) (neg.f64 x))) |
(*.f64 (pow.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (neg.f64 x)) (pow.f64 (pow.f64 (*.f64 (-.f64 x y) x) #s(literal -1 binary64)) (neg.f64 x))) |
(*.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 x)) (pow.f64 (/.f64 (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)) x) (neg.f64 x))) |
(*.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 x)) (pow.f64 (pow.f64 (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) x) #s(literal -1 binary64)) (neg.f64 x))) |
(*.f64 (pow.f64 (/.f64 x (*.f64 (+.f64 y x) (-.f64 y x))) x) (pow.f64 (-.f64 y x) x)) |
(*.f64 (pow.f64 (/.f64 (neg.f64 x) (*.f64 (-.f64 x y) (+.f64 y x))) x) (pow.f64 (neg.f64 (-.f64 x y)) x)) |
(*.f64 (pow.f64 (/.f64 (neg.f64 x) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) x) (pow.f64 (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x))) x)) |
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (+.f64 y x)) (-.f64 x y))) x) (pow.f64 (-.f64 x y) x)) |
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (/.f64 x (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) x) (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) x)) |
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) x) (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) x)) |
(*.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 y x) x) #s(literal -1/2 binary64)) x) (pow.f64 (pow.f64 (/.f64 (+.f64 y x) x) #s(literal -1/2 binary64)) x)) |
(*.f64 (pow.f64 #s(literal -1 binary64) x) (pow.f64 (/.f64 x (-.f64 (neg.f64 x) y)) x)) |
(*.f64 (pow.f64 (pow.f64 (*.f64 (-.f64 x y) (+.f64 y x)) #s(literal -1 binary64)) x) (pow.f64 (*.f64 (-.f64 x y) x) x)) |
(*.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) x) (pow.f64 (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) x) x)) |
(*.f64 (pow.f64 #s(literal -1 binary64) (neg.f64 x)) (pow.f64 (/.f64 (-.f64 (neg.f64 x) y) x) (neg.f64 x))) |
(*.f64 (pow.f64 (pow.f64 (exp.f64 x) (neg.f64 (log.f64 x))) #s(literal -1 binary64)) (pow.f64 (exp.f64 x) (neg.f64 (log.f64 (+.f64 y x))))) |
(*.f64 (pow.f64 (exp.f64 x) (log.f64 (/.f64 (/.f64 x (+.f64 y x)) (-.f64 x y)))) (pow.f64 (exp.f64 x) (log.f64 (-.f64 x y)))) |
(*.f64 (pow.f64 (exp.f64 x) (log.f64 (/.f64 x (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) (pow.f64 (exp.f64 x) (log.f64 (fma.f64 (-.f64 y x) y (*.f64 x x))))) |
(*.f64 (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (neg.f64 x)) (pow.f64 (/.f64 (+.f64 y x) (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) x)) (neg.f64 x))) |
(*.f64 (pow.f64 (/.f64 x (+.f64 y x)) (/.f64 x #s(literal 2 binary64))) (pow.f64 (/.f64 x (+.f64 y x)) (/.f64 x #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (-.f64 x y) x) (pow.f64 (/.f64 (/.f64 x (+.f64 y x)) (-.f64 x y)) x)) |
(*.f64 (pow.f64 (/.f64 (/.f64 x (+.f64 y x)) (-.f64 x y)) x) (pow.f64 (-.f64 x y) x)) |
(*.f64 (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) x) (pow.f64 (/.f64 x (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) x)) |
(*.f64 (pow.f64 (/.f64 x (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) x) (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) x)) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) x) (pow.f64 (neg.f64 x) x)) |
(*.f64 (pow.f64 (neg.f64 x) x) (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) x)) |
(*.f64 (pow.f64 (+.f64 y x) (neg.f64 x)) (pow.f64 (/.f64 (-.f64 x y) (*.f64 (-.f64 x y) x)) (neg.f64 x))) |
(*.f64 (pow.f64 (+.f64 y x) (neg.f64 x)) (pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (neg.f64 x))) |
(*.f64 (pow.f64 (+.f64 y x) (neg.f64 x)) (pow.f64 x x)) |
(*.f64 (pow.f64 x x) (pow.f64 (+.f64 y x) (neg.f64 x))) |
(*.f64 (pow.f64 (exp.f64 x) (neg.f64 (log.f64 (+.f64 y x)))) (pow.f64 (exp.f64 x) (log.f64 x))) |
(*.f64 (pow.f64 (exp.f64 x) (log.f64 (neg.f64 x))) (pow.f64 (exp.f64 x) (log.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x))))) |
(*.f64 (pow.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) #s(literal 1/2 binary64))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))) |
(*.f64 (pow.f64 (exp.f64 x) (log.f64 x)) (pow.f64 (exp.f64 x) (neg.f64 (log.f64 (+.f64 y x))))) |
(*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (+.f64 y x)) x)) |
(*.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) (pow.f64 (/.f64 (-.f64 x y) (-.f64 x y)) (neg.f64 x))) |
(*.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) #s(literal 1 binary64)) |
(pow.f64 (*.f64 (/.f64 x (+.f64 y x)) (/.f64 x (+.f64 y x))) (/.f64 x #s(literal 2 binary64))) |
(pow.f64 (pow.f64 (exp.f64 x) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 (+.f64 y x)) #s(literal 2 binary64)))) (pow.f64 (log.f64 (*.f64 (+.f64 y x) x)) #s(literal -1 binary64))) |
(pow.f64 (pow.f64 (exp.f64 x) (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 (+.f64 y x)) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (log.f64 (+.f64 y x)) (log.f64 (*.f64 (+.f64 y x) x)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(pow.f64 (pow.f64 (exp.f64 x) #s(literal -1 binary64)) (log.f64 (/.f64 (+.f64 y x) x))) |
(pow.f64 (pow.f64 (/.f64 x (+.f64 y x)) (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 (/.f64 x (+.f64 y x))) #s(literal 1/2 binary64))) |
(pow.f64 (pow.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (/.f64 (+.f64 y x) x) x) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 y x) x) (*.f64 #s(literal 1 binary64) (neg.f64 x))) |
(pow.f64 (/.f64 (+.f64 y x) x) (neg.f64 x)) |
(pow.f64 (exp.f64 x) (*.f64 (*.f64 (log.f64 (/.f64 x (+.f64 y x))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) |
(pow.f64 (exp.f64 x) (*.f64 #s(literal 2 binary64) (*.f64 (log.f64 (/.f64 x (+.f64 y x))) #s(literal 1/2 binary64)))) |
(pow.f64 (exp.f64 x) (fma.f64 (log.f64 (/.f64 x (+.f64 y x))) #s(literal 1/2 binary64) (*.f64 (log.f64 (/.f64 x (+.f64 y x))) #s(literal 1/2 binary64)))) |
(pow.f64 (exp.f64 x) (log.f64 (/.f64 x (+.f64 y x)))) |
(pow.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) #s(literal 1 binary64)) |
(pow.f64 (/.f64 x (+.f64 y x)) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64)))) |
(pow.f64 (/.f64 x (+.f64 y x)) (*.f64 (neg.f64 x) #s(literal -1 binary64))) |
(pow.f64 (/.f64 x (+.f64 y x)) x) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 (exp.f64 x) (log.f64 x)))) (neg.f64 (neg.f64 (pow.f64 (exp.f64 x) (log.f64 (+.f64 y x)))))) |
(/.f64 (neg.f64 (pow.f64 (exp.f64 x) (log.f64 (neg.f64 x)))) (neg.f64 (pow.f64 (exp.f64 x) (log.f64 (-.f64 (neg.f64 x) y))))) |
(/.f64 (neg.f64 (*.f64 (pow.f64 (exp.f64 x) (log.f64 x)) #s(literal 1 binary64))) (neg.f64 (pow.f64 (exp.f64 x) (log.f64 (+.f64 y x))))) |
(/.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64))) (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (log.f64 (-.f64 (neg.f64 x) y)) #s(literal 2 binary64)))) |
(/.f64 (pow.f64 (exp.f64 x) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 (+.f64 y x) x)))) (pow.f64 (exp.f64 x) (/.f64 (pow.f64 (log.f64 (+.f64 y x)) #s(literal 2 binary64)) (log.f64 (*.f64 (+.f64 y x) x))))) |
(/.f64 (pow.f64 (exp.f64 x) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (fma.f64 (log.f64 (+.f64 y x)) (log.f64 (*.f64 (+.f64 y x) x)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) (pow.f64 (exp.f64 x) (/.f64 (pow.f64 (log.f64 (+.f64 y x)) #s(literal 3 binary64)) (fma.f64 (log.f64 (+.f64 y x)) (log.f64 (*.f64 (+.f64 y x) x)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))))) |
(/.f64 (pow.f64 (exp.f64 x) (log.f64 #s(literal -1 binary64))) (pow.f64 (exp.f64 x) (log.f64 (/.f64 (-.f64 (neg.f64 x) y) x)))) |
(/.f64 (neg.f64 (pow.f64 (exp.f64 x) (log.f64 x))) (neg.f64 (pow.f64 (exp.f64 x) (log.f64 (+.f64 y x))))) |
(/.f64 (*.f64 (pow.f64 (exp.f64 x) (log.f64 x)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) (log.f64 (+.f64 y x)))) |
(/.f64 (pow.f64 (exp.f64 x) (log.f64 (neg.f64 x))) (pow.f64 (exp.f64 x) (log.f64 (-.f64 (neg.f64 x) y)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (/.f64 (+.f64 y x) x) x))) |
(/.f64 (pow.f64 (exp.f64 x) (log.f64 x)) (pow.f64 (exp.f64 x) (log.f64 (+.f64 y x)))) |
(/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 y x) x)) x))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (log.f64 (/.f64 (+.f64 y x) x)) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (+.f64 y x) x) x)) |
(neg.f64 (neg.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))) |
(exp.f64 (-.f64 (*.f64 x (log.f64 x)) (*.f64 x (log.f64 (+.f64 y x))))) |
(exp.f64 (neg.f64 (neg.f64 (*.f64 (log.f64 (/.f64 x (+.f64 y x))) x)))) |
(exp.f64 (fma.f64 x (*.f64 (log.f64 (/.f64 x (+.f64 y x))) #s(literal 1/2 binary64)) (*.f64 x (*.f64 (log.f64 (/.f64 x (+.f64 y x))) #s(literal 1/2 binary64))))) |
(exp.f64 (*.f64 (*.f64 x (*.f64 (log.f64 (/.f64 x (+.f64 y x))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (neg.f64 (*.f64 (log.f64 (/.f64 x (+.f64 y x))) x)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (*.f64 (log.f64 (/.f64 x (+.f64 y x))) #s(literal 1/2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) #s(literal 1/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 y x) x)) (neg.f64 x))) |
(exp.f64 (*.f64 x (*.f64 #s(literal 2 binary64) (*.f64 (log.f64 (/.f64 x (+.f64 y x))) #s(literal 1/2 binary64))))) |
(exp.f64 (*.f64 x (fma.f64 (log.f64 (/.f64 x (+.f64 y x))) #s(literal 1/2 binary64) (*.f64 (log.f64 (/.f64 x (+.f64 y x))) #s(literal 1/2 binary64))))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (+.f64 y x) x) x)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (+.f64 y x))) x)) |
(*.f64 (pow.f64 (/.f64 x (pow.f64 (exp.f64 x) (log.f64 x))) #s(literal -1 binary64)) (pow.f64 (exp.f64 x) (neg.f64 (log.f64 (+.f64 y x))))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (/.f64 x (+.f64 y x)) x)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) #s(literal 1/2 binary64))) (pow.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (pow.f64 (/.f64 x (pow.f64 (/.f64 x (+.f64 y x)) x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 x (pow.f64 (/.f64 x (+.f64 y x)) x)) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) #s(literal 1/2 binary64)) (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) #s(literal 1/2 binary64)) x)) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (/.f64 x (+.f64 y x)) x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))) |
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)) x)) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 (+.f64 y x) x) x) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (/.f64 x (+.f64 y x)) x)) |
(*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) x)) |
(*.f64 (neg.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (/.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) x) #s(literal 1 binary64)) |
(*.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) (pow.f64 x #s(literal -1 binary64))) |
(pow.f64 (exp.f64 (log.f64 (/.f64 x (pow.f64 (/.f64 x (+.f64 y x)) x)))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 x (pow.f64 (/.f64 x (+.f64 y x)) x)) (/.f64 x (pow.f64 (/.f64 x (+.f64 y x)) x))) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (/.f64 x (pow.f64 (/.f64 x (+.f64 y x)) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 x (pow.f64 (/.f64 x (+.f64 y x)) x)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) x) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (/.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) #s(literal 1 binary64))) (neg.f64 x)) |
(/.f64 (neg.f64 (exp.f64 (fma.f64 x (log.f64 x) (neg.f64 (log.f64 x))))) (neg.f64 (pow.f64 (exp.f64 x) (log.f64 (+.f64 y x))))) |
(/.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (exp.f64 x) (log.f64 x)))) (neg.f64 (pow.f64 (exp.f64 x) (log.f64 (+.f64 y x))))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)) #s(literal 1 binary64))) x) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)))) x) |
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 x) (log.f64 x)))) (neg.f64 (*.f64 (neg.f64 x) (pow.f64 (exp.f64 x) (log.f64 (+.f64 y x)))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) (log.f64 x)))) (neg.f64 (*.f64 x (pow.f64 (exp.f64 x) (log.f64 (+.f64 y x)))))) |
(/.f64 (neg.f64 (*.f64 (pow.f64 (exp.f64 x) (log.f64 x)) #s(literal -1 binary64))) (neg.f64 (*.f64 (pow.f64 (exp.f64 x) (log.f64 (+.f64 y x))) (neg.f64 x)))) |
(/.f64 (neg.f64 (*.f64 (pow.f64 (exp.f64 x) (log.f64 x)) #s(literal 1 binary64))) (neg.f64 (*.f64 (pow.f64 (exp.f64 x) (log.f64 (+.f64 y x))) x))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) x) (*.f64 (neg.f64 x) (/.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) #s(literal -1 binary64)))) (*.f64 (neg.f64 x) x)) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) (pow.f64 (exp.f64 x) (log.f64 (+.f64 y x))))) (*.f64 (neg.f64 x) (pow.f64 (exp.f64 x) (log.f64 x)))) (*.f64 (neg.f64 x) (*.f64 (neg.f64 x) (pow.f64 (exp.f64 x) (log.f64 (+.f64 y x)))))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) (pow.f64 (/.f64 (+.f64 y x) x) x))) (*.f64 (neg.f64 x) #s(literal 1 binary64))) (*.f64 (neg.f64 x) (*.f64 (neg.f64 x) (pow.f64 (/.f64 (+.f64 y x) x) x)))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) x) (*.f64 (neg.f64 x) (neg.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)))) (*.f64 (neg.f64 x) x)) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 x)) (*.f64 (neg.f64 x) (pow.f64 (/.f64 x (+.f64 y x)) x))) (*.f64 x x)) |
(/.f64 (/.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) #s(literal 1 binary64)) x) |
(/.f64 (exp.f64 (fma.f64 x (log.f64 x) (neg.f64 (log.f64 x)))) (pow.f64 (exp.f64 x) (log.f64 (+.f64 y x)))) |
(/.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (exp.f64 x) (log.f64 x))) (pow.f64 (exp.f64 x) (log.f64 (+.f64 y x)))) |
(/.f64 (*.f64 (neg.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)) #s(literal 1 binary64)) (neg.f64 x)) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))) (neg.f64 x)) |
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(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 x (-.f64 (neg.f64 x) y)))) |
(neg.f64 (/.f64 x (-.f64 (neg.f64 x) y))) |
(fma.f64 (/.f64 (/.f64 x (+.f64 y x)) (-.f64 x y)) x (*.f64 (/.f64 (/.f64 x (+.f64 y x)) (-.f64 x y)) (neg.f64 y))) |
(fma.f64 (/.f64 x (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (-.f64 y x) y) (*.f64 (/.f64 x (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x))) |
(fma.f64 (/.f64 x (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x) (*.f64 (/.f64 x (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (-.f64 y x) y))) |
(fma.f64 (*.f64 (-.f64 y x) y) (/.f64 x (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (*.f64 x x) (/.f64 x (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) |
(fma.f64 (*.f64 x x) (/.f64 x (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (*.f64 (-.f64 y x) y) (/.f64 x (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) |
(fma.f64 x (/.f64 (/.f64 x (+.f64 y x)) (-.f64 x y)) (*.f64 (neg.f64 y) (/.f64 (/.f64 x (+.f64 y x)) (-.f64 x y)))) |
(-.f64 (/.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal -1 binary64))) (/.f64 (/.f64 (*.f64 y x) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal -1 binary64)))) |
(-.f64 (/.f64 (/.f64 (/.f64 x (+.f64 y x)) (-.f64 x y)) (pow.f64 x #s(literal -1 binary64))) (/.f64 (/.f64 y (*.f64 (-.f64 x y) (+.f64 y x))) (pow.f64 x #s(literal -1 binary64)))) |
(-.f64 (/.f64 (*.f64 x x) (*.f64 (-.f64 x y) (+.f64 y x))) (/.f64 (*.f64 y x) (*.f64 (-.f64 x y) (+.f64 y x)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 y x)) (/.f64 x (-.f64 (neg.f64 x) y))) |
(-.f64 #s(literal 0 binary64) (/.f64 x (-.f64 (neg.f64 x) y))) |
(exp.f64 (log.f64 (/.f64 x (+.f64 y x)))) |
(+.f64 (*.f64 x (/.f64 (/.f64 x (+.f64 y x)) (-.f64 x y))) (*.f64 (neg.f64 y) (/.f64 (/.f64 x (+.f64 y x)) (-.f64 x y)))) |
(+.f64 (*.f64 (*.f64 (-.f64 y x) y) (/.f64 x (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (*.f64 x x) (/.f64 x (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) |
(+.f64 (*.f64 (*.f64 x x) (/.f64 x (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (*.f64 (-.f64 y x) y) (/.f64 x (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) |
(+.f64 (*.f64 (/.f64 (/.f64 x (+.f64 y x)) (-.f64 x y)) x) (*.f64 (/.f64 (/.f64 x (+.f64 y x)) (-.f64 x y)) (neg.f64 y))) |
(+.f64 (*.f64 (/.f64 x (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (-.f64 y x) y)) (*.f64 (/.f64 x (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x))) |
(+.f64 (*.f64 (/.f64 x (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x)) (*.f64 (/.f64 x (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (-.f64 y x) y))) |
Compiled 11 122 to 2 235 computations (79.9% saved)
8 alts after pruning (8 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 444 | 8 | 452 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 445 | 8 | 453 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 78.0% | (/.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) x) |
| ▶ | 85.6% | (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) |
| 55.8% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) | |
| 60.6% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) | |
| 61.8% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) x) | |
| ▶ | 75.7% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) |
| ▶ | 56.3% | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 (/.f64 y x) y) (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))) |
| ▶ | 61.8% | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x))) |
Compiled 318 to 218 computations (31.4% 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 | (/.f64 #s(literal 1/2 binary64) x) | |
| cost-diff | 0 | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 (/.f64 y x) y) (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))) | |
| cost-diff | 384 | (fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 (/.f64 y x) y) (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x)) | |
| cost-diff | 704 | (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 (/.f64 y x) y) (/.f64 #s(literal -1 binary64) x)) | |
| cost-diff | 0 | (/.f64 y x) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) x) | |
| cost-diff | 0 | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x))) | |
| cost-diff | 704 | (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x)) | |
| cost-diff | 0 | #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)) | |
| cost-diff | 0 | (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) | |
| cost-diff | 0 | (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 208 |
| 0 | 49 | 208 |
| 1 | 72 | 200 |
| 2 | 120 | 200 |
| 3 | 203 | 200 |
| 4 | 384 | 200 |
| 5 | 691 | 200 |
| 6 | 1383 | 200 |
| 7 | 3237 | 200 |
| 8 | 5962 | 193 |
| 9 | 7383 | 193 |
| 0 | 8012 | 190 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) |
(exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) |
#s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)) |
(neg.f64 y) |
y |
x |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
x |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x))) |
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(/.f64 y x) |
y |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 (/.f64 y x) y) (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))) |
(fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 (/.f64 y x) y) (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x)) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 (/.f64 y x) y) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
(+.f64 (/.f64 y x) y) |
(/.f64 y x) |
y |
(/.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
(/.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) x) |
(pow.f64 (/.f64 x (+.f64 y x)) x) |
(/.f64 x (+.f64 y x)) |
x |
(+.f64 y x) |
y |
| Outputs |
|---|
(/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) |
(exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) |
#s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)) |
(neg.f64 y) |
y |
x |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
x |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (-.f64 #s(literal 1 binary64) y) x)) |
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x)) |
(/.f64 (-.f64 #s(literal 1 binary64) y) x) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(/.f64 y x) |
y |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 (/.f64 y x) y) (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (*.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 y x) y) #s(literal 1 binary64)) y #s(literal -1 binary64)))) |
(fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 (/.f64 y x) y) (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 y x) y) #s(literal 1 binary64)) y #s(literal -1 binary64))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 (/.f64 y x) y) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) y #s(literal -1 binary64)) x) |
(/.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
(+.f64 (/.f64 y x) y) |
(/.f64 y x) |
y |
(/.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
(/.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) x) |
(pow.f64 (/.f64 x (+.f64 y x)) x) |
(/.f64 x (+.f64 y x)) |
x |
(+.f64 y x) |
y |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (+.f64 y x) | |
| accuracy | 0.00390625 | (/.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) x) | |
| accuracy | 0.015625 | (/.f64 x (+.f64 y x)) | |
| accuracy | 14.31069900846505 | (pow.f64 (/.f64 x (+.f64 y x)) x) | |
| accuracy | 0.0078125 | (+.f64 (/.f64 y x) y) | |
| accuracy | 0.06640625 | (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 (/.f64 y x) y) (/.f64 #s(literal -1 binary64) x)) | |
| accuracy | 1.9461633556620273 | (fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 (/.f64 y x) y) (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x)) | |
| accuracy | 26.81043993737968 | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 (/.f64 y x) y) (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))) | |
| accuracy | 0.0 | (/.f64 y x) | |
| accuracy | 0.0 | (/.f64 #s(literal 1 binary64) x) | |
| accuracy | 0.0234375 | (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x)) | |
| accuracy | 24.462929914881723 | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x))) | |
| accuracy | 0.00390625 | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) | |
| accuracy | 15.733013758096178 | #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 | 20.47503368381494 | #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)) |
| 70.0ms | 116× | 1 | valid |
| 50.0ms | 49× | 2 | valid |
| 20.0ms | 91× | 0 | valid |
Compiled 382 to 59 computations (84.6% saved)
ival-log: 29.0ms (25.6% of total)ival-div: 22.0ms (19.4% of total)ival-mult: 16.0ms (14.1% of total)adjust: 15.0ms (13.2% of total)ival-pow: 15.0ms (13.2% of total)ival-add: 9.0ms (7.9% of total)ival-exp: 3.0ms (2.6% of total)ival-sub: 2.0ms (1.8% of total)ival-neg: 1.0ms (0.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) |
(exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) |
#s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)) |
(neg.f64 y) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x)) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x))) |
(/.f64 #s(literal 1 binary64) x) |
(/.f64 y x) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 (/.f64 y x) y) (/.f64 #s(literal -1 binary64) x)) |
(fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 (/.f64 y x) y) (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x)) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 (/.f64 y x) y) (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(literal 1/2 binary64) x) |
(/.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) x) |
(pow.f64 (/.f64 x (+.f64 y x)) x) |
(/.f64 x (+.f64 y x)) |
(+.f64 y x) |
(+.f64 (/.f64 y x) 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))))))) |
(* x (+ (log x) (log (/ 1 y)))) |
(* x (+ (log x) (+ (log (/ 1 y)) (* -1 (/ x y))))) |
(* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (/ x (pow y 2))) (/ 1 y)))))) |
(* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* x (+ (* -1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y)))))) |
(/ (- 1 y) x) |
(/ y x) |
(* 1/2 (/ y (pow x 2))) |
(/ (+ (* 1/2 y) (* x (- (* 1/2 y) 1))) (pow x 2)) |
(* 1/2 (/ (pow y 2) (pow x 2))) |
(/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) (pow x 2)) |
(/ 1/2 x) |
(/ 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) |
(/ (+ y (* x 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)))) |
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(* -1 y) |
(+ (* -1 y) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) x))) |
(+ (* -1 y) (+ (* 1/6 (/ (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (pow x 2))) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) x)))) |
(+ (* -1 y) (+ (* 1/24 (/ (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4))))) (pow x 3))) (+ (* 1/6 (/ (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (pow x 2))) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) x))))) |
(/ (- (* 1/2 y) 1) x) |
(/ (- (+ (* 1/2 y) (* 1/2 (/ y x))) 1) x) |
(/ (+ 1 (* y (- (* 1/2 y) 1))) x) |
(/ (+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1)))) x) |
(+ 1 (* -1 (/ y x))) |
(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x)) |
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))) |
x |
(* x (+ 1 (/ y x))) |
(+ y (/ y x)) |
(* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) x)) |
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(/ (+ 1 (* -1 y)) x) |
(* -1 (/ (+ 1 (* -1/2 y)) x)) |
(* -1 (/ (+ 1 (+ (* -1/2 y) (* -1/2 (/ y x)))) x)) |
(* -1 (/ (- (* y (+ 1 (* -1/2 y))) 1) x)) |
(* -1 (/ (- (+ (* -1/2 (/ (pow y 2) x)) (* y (+ 1 (* -1/2 y)))) 1) x)) |
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(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x))) |
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(+ (* 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)) |
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(+ 1 (* y (- (* y (+ 1/2 (+ (* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) (* 1/2 (/ 1 x))))) 1))) |
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(* y (- (* y (+ (* y (- (* 1/4 (/ y (pow x 3))) (* 1/3 (/ 1 (pow x 2))))) (* 1/2 (/ 1 x)))) 1)) |
(/ -1 x) |
(- (* 1/2 (/ (* y (+ 1 (/ 1 x))) x)) (/ 1 x)) |
(+ (* y (- (* 1/2 (/ (* y (+ 1 (/ 1 x))) x)) (/ 1 x))) (/ 1 x)) |
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(* y (+ 1 (/ 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)))) |
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(+ (* -1 (/ (pow x 2) y)) (* x (+ (log x) (log (/ 1 y))))) |
(+ (* -1 (/ (pow x 2) y)) (+ (* 1/2 (/ (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2)))) (pow y 2))) (* x (+ (log x) (log (/ 1 y)))))) |
(+ (* -1 (/ (pow x 2) y)) (+ (* 1/6 (/ (* x (+ (* -6 (pow x 3)) (+ (* -2 (pow x 3)) (* 6 (pow x 3))))) (pow y 3))) (+ (* 1/2 (/ (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2)))) (pow y 2))) (* x (+ (log x) (log (/ 1 y))))))) |
(* -1 (/ y x)) |
(* y (- (/ 1 (* x y)) (/ 1 x))) |
(* 1/2 (/ (* y (+ 1 (/ 1 x))) x)) |
(* y (- (* 1/2 (/ (+ 1 (/ 1 x)) x)) (/ 1 (* x y)))) |
(* 1/2 (/ (* (pow y 2) (+ 1 (/ 1 x))) x)) |
(* (pow y 2) (- (* 1/2 (/ (+ 1 (/ 1 x)) x)) (/ 1 (* x y)))) |
(* (pow y 2) (- (+ (* 1/2 (/ (+ 1 (/ 1 x)) x)) (/ 1 (* x (pow y 2)))) (/ 1 (* x y)))) |
(/ (+ x (* -1 (/ (pow x 2) y))) y) |
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y) |
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y) |
(* y (+ 1 (/ x y))) |
(/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x) |
(+ (* -1 (/ (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x)) |
(+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x y))) (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3)))))) (+ (* 1/6 (pow x 6)) (* 1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))))) (* x y))) (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) x)) y)) (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x)) |
(exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) |
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))) y))) |
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) y)) (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y))) |
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(* x (+ (log (* -1 x)) (log (/ -1 y)))) |
(+ (* -1 (/ (pow x 2) y)) (* x (+ (log (* -1 x)) (log (/ -1 y))))) |
(+ (* -1 (/ (+ (* -1/2 (/ (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2)))) y)) (pow x 2)) y)) (* x (+ (log (* -1 x)) (log (/ -1 y))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3))))) y)) (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))) y)) (pow x 2)) y)) (* x (+ (log (* -1 x)) (log (/ -1 y))))) |
(* -1 (* y (- (/ 1 x) (/ 1 (* x y))))) |
(* -1 (* y (+ (* -1/2 (/ (+ 1 (/ 1 x)) x)) (/ 1 (* x y))))) |
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(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y)) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | x | @ | -inf | ((/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (* x (log (/ x (+ x y)))) (neg y) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (- (/ 1 x) (/ y x)) (/ (exp (* x (log (/ x (+ x y))))) x) (/ 1 x) (/ y x) (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) (+ (* (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) y) (/ 1 x)) (/ (exp (* x (log (/ x (+ x y))))) x) (/ 1/2 x) (/ (pow (/ x (+ y x)) x) x) (pow (/ x (+ y x)) x) (/ x (+ y x)) (+ y x) (+ (/ y x) y)) |
| 3.0ms | x | @ | inf | ((/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (* x (log (/ x (+ x y)))) (neg y) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (- (/ 1 x) (/ y x)) (/ (exp (* x (log (/ x (+ x y))))) x) (/ 1 x) (/ y x) (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) (+ (* (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) y) (/ 1 x)) (/ (exp (* x (log (/ x (+ x y))))) x) (/ 1/2 x) (/ (pow (/ x (+ y x)) x) x) (pow (/ x (+ y x)) x) (/ x (+ y x)) (+ y x) (+ (/ y x) y)) |
| 3.0ms | y | @ | -inf | ((/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (* x (log (/ x (+ x y)))) (neg y) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (- (/ 1 x) (/ y x)) (/ (exp (* x (log (/ x (+ x y))))) x) (/ 1 x) (/ y x) (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) (+ (* (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) y) (/ 1 x)) (/ (exp (* x (log (/ x (+ x y))))) x) (/ 1/2 x) (/ (pow (/ x (+ y x)) x) x) (pow (/ x (+ y x)) x) (/ x (+ y x)) (+ y x) (+ (/ y x) y)) |
| 2.0ms | x | @ | 0 | ((/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (* x (log (/ x (+ x y)))) (neg y) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (- (/ 1 x) (/ y x)) (/ (exp (* x (log (/ x (+ x y))))) x) (/ 1 x) (/ y x) (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) (+ (* (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) y) (/ 1 x)) (/ (exp (* x (log (/ x (+ x y))))) x) (/ 1/2 x) (/ (pow (/ x (+ y x)) x) x) (pow (/ x (+ y x)) x) (/ x (+ y x)) (+ y x) (+ (/ y x) y)) |
| 2.0ms | y | @ | inf | ((/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (* x (log (/ x (+ x y)))) (neg y) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (- (/ 1 x) (/ y x)) (/ (exp (* x (log (/ x (+ x y))))) x) (/ 1 x) (/ y x) (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) (+ (* (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) y) (/ 1 x)) (/ (exp (* x (log (/ x (+ x y))))) x) (/ 1/2 x) (/ (pow (/ x (+ y x)) x) x) (pow (/ x (+ y x)) x) (/ x (+ y x)) (+ y x) (+ (/ y x) y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 571 | 3011 |
| 1 | 1737 | 2566 |
| 2 | 5714 | 2304 |
| 0 | 8255 | 2180 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 x) |
(/ (+ 1 (* x (+ (log x) (log (/ 1 y))))) x) |
(/ (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y))))))) x) |
(/ (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (* x (+ (* -1 (/ (+ (log x) (log (/ 1 y))) y)) (+ (* 1/6 (pow (+ (log x) (log (/ 1 y))) 3)) (* 1/2 (/ 1 (pow y 2))))))) (/ 1 y))))))) x) |
1 |
(+ 1 (* x (+ (log x) (log (/ 1 y))))) |
(+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y))))))) |
(+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (* x (+ (* -1 (/ (+ (log x) (log (/ 1 y))) y)) (+ (* 1/6 (pow (+ (log x) (log (/ 1 y))) 3)) (* 1/2 (/ 1 (pow y 2))))))) (/ 1 y))))))) |
(* x (+ (log x) (log (/ 1 y)))) |
(* x (+ (log x) (+ (log (/ 1 y)) (* -1 (/ x y))))) |
(* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (/ x (pow y 2))) (/ 1 y)))))) |
(* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* x (+ (* -1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y)))))) |
(/ (- 1 y) x) |
(/ y x) |
(* 1/2 (/ y (pow x 2))) |
(/ (+ (* 1/2 y) (* x (- (* 1/2 y) 1))) (pow x 2)) |
(* 1/2 (/ (pow y 2) (pow x 2))) |
(/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) (pow x 2)) |
(/ 1/2 x) |
(/ 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) |
(/ (+ y (* x 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 y) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) x))) |
(+ (* -1 y) (+ (* 1/6 (/ (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (pow x 2))) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) x)))) |
(+ (* -1 y) (+ (* 1/24 (/ (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4))))) (pow x 3))) (+ (* 1/6 (/ (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (pow x 2))) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) x))))) |
(/ (- (* 1/2 y) 1) x) |
(/ (- (+ (* 1/2 y) (* 1/2 (/ y x))) 1) x) |
(/ (+ 1 (* y (- (* 1/2 y) 1))) x) |
(/ (+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1)))) x) |
(+ 1 (* -1 (/ y x))) |
(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x)) |
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))) |
x |
(* x (+ 1 (/ y x))) |
(+ y (/ y x)) |
(* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) x)) |
(* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1 (/ (+ (* 1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (/ (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)))) x)) x))) x)) |
(* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2))))) (/ (* (exp (* -1 y)) (+ (* -1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) x)) x)) (* 1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))) x))) x)) |
(+ (exp (* -1 y)) (* -1 (/ (+ (* -1 (/ (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)))) x)) (* -1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))) x))) |
(+ (exp (* -1 y)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* -1 y)) (+ (* -1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) x)) (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2))))) x)) (* -1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))) x))) |
(+ (* -1 y) (* -1 (/ (+ (* -1/2 (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) (* 1/6 (/ (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) x))) x))) |
(+ (* -1 y) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/24 (/ (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4))))) x))) x)) (* -1/2 (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) x))) |
(/ (+ 1 (* -1 y)) x) |
(* -1 (/ (+ 1 (* -1/2 y)) x)) |
(* -1 (/ (+ 1 (+ (* -1/2 y) (* -1/2 (/ y x)))) x)) |
(* -1 (/ (- (* y (+ 1 (* -1/2 y))) 1) x)) |
(* -1 (/ (- (+ (* -1/2 (/ (pow y 2) x)) (* y (+ 1 (* -1/2 y)))) 1) x)) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+ (* -1 (/ y x)) (/ 1 x)) |
(+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x)) |
(+ (* y (- (* y (+ (* -1 (/ (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) x)) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))) (/ 1 x))) (/ 1 x)) |
(+ 1 (* -1 y)) |
(+ 1 (* y (- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1))) |
(+ 1 (* y (- (* y (+ 1/2 (+ (* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) (* 1/2 (/ 1 x))))) 1))) |
(* y (- (* 1/2 (/ y x)) 1)) |
(* y (- (* y (+ (* -1/3 (/ y (pow x 2))) (* 1/2 (/ 1 x)))) 1)) |
(* y (- (* y (+ (* y (- (* 1/4 (/ y (pow x 3))) (* 1/3 (/ 1 (pow x 2))))) (* 1/2 (/ 1 x)))) 1)) |
(/ -1 x) |
(- (* 1/2 (/ (* y (+ 1 (/ 1 x))) x)) (/ 1 x)) |
(+ (* y (- (* 1/2 (/ (* y (+ 1 (/ 1 x))) x)) (/ 1 x))) (/ 1 x)) |
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x)))) |
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)))) |
(* y (+ 1 (/ 1 x))) |
(/ (exp (* x (+ (log x) (log (/ 1 y))))) x) |
(+ (* -1 (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (/ (exp (* x (+ (log x) (log (/ 1 y))))) x)) |
(+ (* -1 (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (+ (/ (exp (* x (+ (log x) (log (/ 1 y))))) x) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x (pow y 2))))) |
(+ (* -1 (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (+ (/ (exp (* x (+ (log x) (log (/ 1 y))))) x) (+ (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (+ (* -1/6 (pow x 6)) (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* -2 (pow x 3)) (* 6 (pow x 3))))))))) (* x (pow y 3))) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x (pow y 2)))))) |
(exp (* x (+ (log x) (log (/ 1 y))))) |
(+ (exp (* x (+ (log x) (log (/ 1 y))))) (* -1 (/ (* (pow x 2) (exp (* x (+ (log x) (log (/ 1 y)))))) y))) |
(+ (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1 (/ (* (pow x 2) (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (pow y 2)))) |
(+ (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1 (/ (* (pow x 2) (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (+ (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (+ (* -1/6 (pow x 6)) (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* -2 (pow x 3)) (* 6 (pow x 3))))))))) (pow y 3)) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (pow y 2))))) |
(+ (* -1 (/ (pow x 2) y)) (* x (+ (log x) (log (/ 1 y))))) |
(+ (* -1 (/ (pow x 2) y)) (+ (* 1/2 (/ (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2)))) (pow y 2))) (* x (+ (log x) (log (/ 1 y)))))) |
(+ (* -1 (/ (pow x 2) y)) (+ (* 1/6 (/ (* x (+ (* -6 (pow x 3)) (+ (* -2 (pow x 3)) (* 6 (pow x 3))))) (pow y 3))) (+ (* 1/2 (/ (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2)))) (pow y 2))) (* x (+ (log x) (log (/ 1 y))))))) |
(* -1 (/ y x)) |
(* y (- (/ 1 (* x y)) (/ 1 x))) |
(* 1/2 (/ (* y (+ 1 (/ 1 x))) x)) |
(* y (- (* 1/2 (/ (+ 1 (/ 1 x)) x)) (/ 1 (* x y)))) |
(* 1/2 (/ (* (pow y 2) (+ 1 (/ 1 x))) x)) |
(* (pow y 2) (- (* 1/2 (/ (+ 1 (/ 1 x)) x)) (/ 1 (* x y)))) |
(* (pow y 2) (- (+ (* 1/2 (/ (+ 1 (/ 1 x)) x)) (/ 1 (* x (pow y 2)))) (/ 1 (* x y)))) |
(/ (+ x (* -1 (/ (pow x 2) y))) y) |
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y) |
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y) |
(* y (+ 1 (/ x y))) |
(/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x) |
(+ (* -1 (/ (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x)) |
(+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x y))) (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3)))))) (+ (* 1/6 (pow x 6)) (* 1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))))) (* x y))) (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) x)) y)) (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x)) |
(exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) |
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))) y))) |
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) y)) (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y))) |
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3)))))) (+ (* 1/6 (pow x 6)) (* 1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))))) y)) (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4))))) y)) (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y))) |
(* x (+ (log (* -1 x)) (log (/ -1 y)))) |
(+ (* -1 (/ (pow x 2) y)) (* x (+ (log (* -1 x)) (log (/ -1 y))))) |
(+ (* -1 (/ (+ (* -1/2 (/ (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2)))) y)) (pow x 2)) y)) (* x (+ (log (* -1 x)) (log (/ -1 y))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3))))) y)) (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))) y)) (pow x 2)) y)) (* x (+ (log (* -1 x)) (log (/ -1 y))))) |
(* -1 (* y (- (/ 1 x) (/ 1 (* x y))))) |
(* -1 (* y (+ (* -1/2 (/ (+ 1 (/ 1 x)) x)) (/ 1 (* x y))))) |
(* (pow y 2) (+ (* -1 (/ (- (/ 1 x) (/ 1 (* x y))) y)) (* 1/2 (/ (+ 1 (/ 1 x)) 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 (/ x y)) 1))) |
| Outputs |
|---|
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (* x (+ (log x) (log (/ 1 y))))) x) |
(/.f64 (fma.f64 (-.f64 (log.f64 x) (log.f64 y)) x #s(literal 1 binary64)) x) |
(/ (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y))))))) x) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 x) (log.f64 y)) #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) y)) x (-.f64 (log.f64 x) (log.f64 y))) x #s(literal 1 binary64)) x) |
(/ (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (* x (+ (* -1 (/ (+ (log x) (log (/ 1 y))) y)) (+ (* 1/6 (pow (+ (log x) (log (/ 1 y))) 3)) (* 1/2 (/ 1 (pow y 2))))))) (/ 1 y))))))) x) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 x) (log.f64 y)) #s(literal 3 binary64)) #s(literal 1/6 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 (-.f64 (log.f64 x) (log.f64 y)) y))) x (fma.f64 (pow.f64 (-.f64 (log.f64 x) (log.f64 y)) #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) y))) x (-.f64 (log.f64 x) (log.f64 y))) x #s(literal 1 binary64)) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* x (+ (log x) (log (/ 1 y))))) |
(fma.f64 (-.f64 (log.f64 x) (log.f64 y)) x #s(literal 1 binary64)) |
(+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y))))))) |
(fma.f64 (fma.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 x) (log.f64 y)) #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) y)) x (-.f64 (log.f64 x) (log.f64 y))) x #s(literal 1 binary64)) |
(+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (* x (+ (* -1 (/ (+ (log x) (log (/ 1 y))) y)) (+ (* 1/6 (pow (+ (log x) (log (/ 1 y))) 3)) (* 1/2 (/ 1 (pow y 2))))))) (/ 1 y))))))) |
(fma.f64 (fma.f64 (fma.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 x) (log.f64 y)) #s(literal 3 binary64)) #s(literal 1/6 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 (-.f64 (log.f64 x) (log.f64 y)) y))) x (fma.f64 (pow.f64 (-.f64 (log.f64 x) (log.f64 y)) #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) y))) x (-.f64 (log.f64 x) (log.f64 y))) x #s(literal 1 binary64)) |
(* x (+ (log x) (log (/ 1 y)))) |
(*.f64 (-.f64 (log.f64 x) (log.f64 y)) x) |
(* x (+ (log x) (+ (log (/ 1 y)) (* -1 (/ x y))))) |
(*.f64 (-.f64 (-.f64 (log.f64 x) (log.f64 y)) (/.f64 x y)) x) |
(* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (/ x (pow y 2))) (/ 1 y)))))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) y)) x (-.f64 (log.f64 x) (log.f64 y))) x) |
(* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* x (+ (* -1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y)))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) x (/.f64 #s(literal -1 binary64) y)) x (-.f64 (log.f64 x) (log.f64 y))) x) |
(/ (- 1 y) x) |
(/.f64 (-.f64 #s(literal 1 binary64) y) x) |
(/ y x) |
(/.f64 y x) |
(* 1/2 (/ y (pow x 2))) |
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) y) |
(/ (+ (* 1/2 y) (* x (- (* 1/2 y) 1))) (pow x 2)) |
(/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x (*.f64 #s(literal 1/2 binary64) y)) x) x) |
(* 1/2 (/ (pow y 2) (pow x 2))) |
(*.f64 (*.f64 y (/.f64 (/.f64 y x) x)) #s(literal 1/2 binary64)) |
(/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) (pow x 2)) |
(/.f64 (+.f64 x (*.f64 y (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x (*.f64 #s(literal 1/2 binary64) y)))) (*.f64 x x)) |
(/ 1/2 x) |
(/.f64 #s(literal 1/2 binary64) x) |
(/ x y) |
(/.f64 x y) |
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 x y) y)) x) |
(* 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 (/.f64 #s(literal 1 binary64) 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 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) x (/.f64 #s(literal -1 binary64) (*.f64 y y))) x (/.f64 #s(literal 1 binary64) y)) x) |
y |
(+ x y) |
(+.f64 y x) |
(/ (+ y (* x y)) x) |
(/.f64 (fma.f64 y x y) 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 (*.f64 (exp.f64 (neg.f64 y)) (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) 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)) (+ (* 1/8 (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)) (fma.f64 (*.f64 (/.f64 y x) y) #s(literal 1/2 binary64) (/.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 4 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/3 binary64))) 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)) (fma.f64 (*.f64 (/.f64 y x) y) #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal 4 binary64)) (*.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -2 binary64) (pow.f64 y #s(literal 3 binary64))))) (*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 6 binary64)) #s(literal 1/24 binary64))) (pow.f64 x #s(literal 3 binary64))) (/.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 4 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/3 binary64))) x) x))) (exp.f64 (neg.f64 y))) x) |
(exp (* -1 y)) |
(exp.f64 (neg.f64 y)) |
(+ (exp (* -1 y)) (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) |
(fma.f64 (*.f64 (exp.f64 (neg.f64 y)) (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) x) (exp.f64 (neg.f64 y))) |
(+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (/ (* (exp (* -1 y)) (+ (* 1/8 (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 (exp.f64 (neg.f64 y)) (fma.f64 (*.f64 (/.f64 y x) y) #s(literal 1/2 binary64) (/.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 4 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/3 binary64))) x) x)) (exp.f64 (neg.f64 y))) |
(+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (+ (/ (* (exp (* -1 y)) (+ (* 1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (+ (* 1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) (pow x 3)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2))))) |
(fma.f64 (exp.f64 (neg.f64 y)) (fma.f64 (*.f64 (/.f64 y x) y) #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal 4 binary64)) (*.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -2 binary64) (pow.f64 y #s(literal 3 binary64))))) (*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 6 binary64)) #s(literal 1/24 binary64))) (pow.f64 x #s(literal 3 binary64))) (/.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 4 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/3 binary64))) x) x))) (exp.f64 (neg.f64 y))) |
(* -1 y) |
(neg.f64 y) |
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(/.f64 (fma.f64 (/.f64 x y) (fma.f64 x (/.f64 x y) (neg.f64 x)) x) y) |
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y) |
(/.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 x) x (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) (neg.f64 y))) y) x) y) |
(* y (+ 1 (/ x y))) |
(fma.f64 (/.f64 x y) y y) |
(/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x) |
(/.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) x) (pow.f64 (neg.f64 x) x)) x) |
(+ (* -1 (/ (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x)) |
(fma.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) x) (pow.f64 (neg.f64 x) x)) (/.f64 (neg.f64 x) y) (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) x) (pow.f64 (neg.f64 x) x)) x)) |
(+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x y))) (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x)) |
(-.f64 (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) x) (pow.f64 (neg.f64 x) x)) x) (/.f64 (*.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) x) (pow.f64 (neg.f64 x) x)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 y x)) x)) y)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3)))))) (+ (* 1/6 (pow x 6)) (* 1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))))) (* x y))) (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) x)) y)) (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x)) |
(-.f64 (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) x) (pow.f64 (neg.f64 x) x)) x) (/.f64 (fma.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) x) (pow.f64 (neg.f64 x) x)) x (/.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) x) (pow.f64 (neg.f64 x) x)) x) (-.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64)) (/.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))) y)) |
(exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) x) (pow.f64 (neg.f64 x) x)) |
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))) y))) |
(fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) x) (pow.f64 (neg.f64 x) x) (*.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) x) (pow.f64 (neg.f64 x) x)) (*.f64 (neg.f64 x) (/.f64 x y)))) |
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) y)) (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y))) |
(fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) x) (pow.f64 (neg.f64 x) x) (/.f64 (*.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) x) (pow.f64 (neg.f64 x) x)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))) y) (*.f64 x x))) (neg.f64 y))) |
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3)))))) (+ (* 1/6 (pow x 6)) (* 1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))))) y)) (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4))))) y)) (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y))) |
(fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) x) (pow.f64 (neg.f64 x) x) (/.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) x) (pow.f64 (neg.f64 x) x)) x) x (/.f64 (*.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) x) (pow.f64 (neg.f64 x) x)) (-.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64)) (/.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))) |
(* 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))))) |
(*.f64 x (-.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x))) (/.f64 x y))) |
(+ (* -1 (/ (+ (* -1/2 (/ (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2)))) y)) (pow x 2)) y)) (* x (+ (log (* -1 x)) (log (/ -1 y))))) |
(fma.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x))) x (/.f64 (*.f64 x (fma.f64 (*.f64 x (/.f64 x y)) #s(literal -1/2 binary64) 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 (*.f64 x (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)))) (neg.f64 y))) (neg.f64 y))) |
(* -1 (* y (- (/ 1 x) (/ 1 (* x y))))) |
(fma.f64 (/.f64 #s(literal -1 binary64) x) y (/.f64 (/.f64 y x) y)) |
(* -1 (* y (+ (* -1/2 (/ (+ 1 (/ 1 x)) x)) (/ 1 (* x y))))) |
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x) (/.f64 (/.f64 #s(literal 1 binary64) y) x)) y) |
(* (pow y 2) (+ (* -1 (/ (- (/ 1 x) (/ 1 (* x y))) y)) (* 1/2 (/ (+ 1 (/ 1 x)) x)))) |
(*.f64 (*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) y) x)) y)) y) y) |
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y)) |
(/.f64 (fma.f64 x (/.f64 x y) (neg.f64 x)) (neg.f64 y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y)) |
(/.f64 (fma.f64 (/.f64 x y) (fma.f64 x (/.f64 x y) (neg.f64 x)) x) y) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y)) |
(/.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 x) x (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) (neg.f64 y))) y) x) y) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) (neg.f64 y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 185 |
| 0 | 49 | 173 |
| 1 | 205 | 173 |
| 2 | 1656 | 173 |
| 0 | 8392 | 173 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) |
(exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) |
#s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)) |
(neg.f64 y) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x)) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x))) |
(/.f64 #s(literal 1 binary64) x) |
(/.f64 y x) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 (/.f64 y x) y) (/.f64 #s(literal -1 binary64) x)) |
(fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 (/.f64 y x) y) (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x)) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 (/.f64 y x) y) (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(literal 1/2 binary64) x) |
(/.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) x) |
(pow.f64 (/.f64 x (+.f64 y x)) x) |
(/.f64 x (+.f64 y x)) |
(+.f64 y x) |
(+.f64 (/.f64 y x) y) |
| Outputs |
|---|
(*.f64 (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (*.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (*.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (neg.f64 (neg.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))))) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (neg.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)))) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 x (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))))))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (exp.f64 (neg.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)))) |
(*.f64 #s(literal 1 binary64) (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x)) |
(*.f64 (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) #s(literal 1 binary64)) |
(*.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) (pow.f64 x #s(literal -1 binary64))) |
(pow.f64 (/.f64 x (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) #s(literal -1 binary64))) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.f64 (*.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) #s(literal 1 binary64))) (neg.f64 x)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)))))) (neg.f64 (neg.f64 (neg.f64 x)))) |
(/.f64 (*.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) #s(literal -1 binary64)) (neg.f64 x)) |
(/.f64 (*.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) #s(literal 1 binary64)) (neg.f64 (neg.f64 x))) |
(/.f64 (*.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) #s(literal 1 binary64)) 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 #s(literal -1 binary64) (neg.f64 (/.f64 x (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (*.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 x (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))))) |
(/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) (neg.f64 (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 #s(literal 0 binary64) (neg.f64 x)) (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) (neg.f64 x))) |
(exp.f64 (fma.f64 (log.f64 x) #s(literal -1 binary64) #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)))) |
(exp.f64 (+.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)) (neg.f64 (log.f64 x)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))))) #s(literal -1 binary64))) |
(exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) |
#s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y))) |
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))))) |
(*.f64 #s(literal -1 binary64) y) |
(*.f64 y #s(literal -1 binary64)) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y))) (neg.f64 (+.f64 #s(literal 0 binary64) y))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 y y) (*.f64 #s(literal 0 binary64) (neg.f64 y))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 y y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))) (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 3 binary64))))) |
(neg.f64 y) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) y)) (/.f64 (*.f64 y y) (+.f64 #s(literal 0 binary64) y))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))))) |
(-.f64 #s(literal 0 binary64) y) |
(+.f64 #s(literal 0 binary64) (neg.f64 y)) |
(*.f64 (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (*.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (neg.f64 (neg.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)))) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (neg.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 x #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)))))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (pow.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) #s(literal 1 binary64)) |
(*.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x)) |
(pow.f64 (/.f64 x #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) #s(literal -1 binary64))) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.f64 (*.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 x)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64))))) (neg.f64 (neg.f64 (neg.f64 x)))) |
(/.f64 (*.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 x)) |
(/.f64 (*.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 (neg.f64 x))) |
(/.f64 (*.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) #s(literal 1 binary64)) x) |
(/.f64 (neg.f64 (neg.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)))) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64))) (neg.f64 x)) |
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(*.f64 (/.f64 x (*.f64 (+.f64 y x) (-.f64 x y))) (-.f64 x y)) |
(*.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (-.f64 x y) (*.f64 y y))) |
(*.f64 (/.f64 x (-.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 (pow.f64 (*.f64 (+.f64 y x) (-.f64 y x)) #s(literal -1 binary64)) (/.f64 x (pow.f64 (-.f64 y x) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (*.f64 (+.f64 y x) (-.f64 x y)) #s(literal -1 binary64)) (/.f64 x (pow.f64 (-.f64 x y) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (/.f64 x (pow.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (/.f64 x (pow.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) #s(literal -1 binary64)))) |
(*.f64 (neg.f64 (neg.f64 x)) (pow.f64 (+.f64 y x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) x) |
(*.f64 (neg.f64 x) (pow.f64 (neg.f64 (+.f64 y x)) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (+.f64 y x) x)))) |
(*.f64 #s(literal 1 binary64) (/.f64 x (+.f64 y x))) |
(*.f64 x (exp.f64 (neg.f64 (log.f64 (+.f64 y x))))) |
(*.f64 x (pow.f64 (+.f64 y x) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (+.f64 y x) x) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 (+.f64 y x))))) |
(/.f64 (exp.f64 (log.f64 (neg.f64 x))) (exp.f64 (log.f64 (neg.f64 (+.f64 y x))))) |
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 (+.f64 y x)))) |
(/.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) |
(/.f64 (neg.f64 x) (neg.f64 (+.f64 y x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 y x) x))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (+.f64 y x) x)))) |
(/.f64 #s(literal 1 binary64) (exp.f64 (log.f64 (/.f64 (+.f64 y x) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) x)) |
(/.f64 x (exp.f64 (log.f64 (+.f64 y x)))) |
(/.f64 x (+.f64 y x)) |
(neg.f64 (/.f64 (neg.f64 x) (+.f64 y x))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (+.f64 y x))) (/.f64 (neg.f64 x) (+.f64 y x))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 y x) x)) #s(literal -1 binary64))) |
(exp.f64 (log.f64 (/.f64 x (+.f64 y x)))) |
(*.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 y x))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 y x)))) |
(*.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x y)))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y))))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y (-.f64 y x) (*.f64 x x))))) |
(*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (pow.f64 (-.f64 y x) #s(literal -1 binary64))) |
(*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (pow.f64 (-.f64 x y) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (+.f64 y x)) |
(*.f64 (+.f64 y x) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 y y) (-.f64 y x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (-.f64 y x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 y y) (-.f64 y x)) (fma.f64 (/.f64 (*.f64 x x) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x)) (*.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 x y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 y y) (-.f64 x y)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 x x) (-.f64 x y)) (fma.f64 (/.f64 (*.f64 y y) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y)) (*.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y)))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 y x)))) (neg.f64 (neg.f64 (-.f64 y x)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 x y)))) (neg.f64 (neg.f64 (-.f64 x y)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 y (-.f64 y x) (*.f64 x x))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 y x))) (neg.f64 (-.f64 y x))) |
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 x y))) (neg.f64 (-.f64 x y))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)))) |
(/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (-.f64 y x)) |
(/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (-.f64 x y)) |
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x y) (*.f64 y y))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 y (-.f64 y x) (*.f64 x x))) |
(/.f64 (neg.f64 (+.f64 y x)) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 y x) #s(literal -1 binary64))) |
(/.f64 (+.f64 y x) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 y x)))) |
(fma.f64 (neg.f64 x) #s(literal -1 binary64) y) |
(fma.f64 (*.f64 x x) (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y)))) |
(fma.f64 #s(literal 1 binary64) x y) |
(fma.f64 x #s(literal 1 binary64) y) |
(-.f64 (/.f64 (/.f64 (*.f64 y y) (-.f64 y x)) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 x x) (-.f64 y x)) #s(literal 1 binary64))) |
(-.f64 (/.f64 (/.f64 (*.f64 x x) (-.f64 x y)) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 y y) (-.f64 x y)) #s(literal 1 binary64))) |
(-.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y))) |
(+.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 y x)))) |
(+.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y)))) |
(+.f64 y x) |
(+.f64 x y) |
(*.f64 (-.f64 (*.f64 y y) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 y (/.f64 y x)))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (/.f64 y x) y)))) |
(*.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (/.f64 y x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y (-.f64 y (/.f64 y x)) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))) |
(*.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (*.f64 y y)) (pow.f64 (-.f64 (/.f64 y x) y) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (*.f64 (/.f64 y x) y))))) |
(*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) (pow.f64 (fma.f64 y (-.f64 y (/.f64 y x)) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (+.f64 (/.f64 y x) y)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y x) y)) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (-.f64 (/.f64 y x) y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 y y) (-.f64 (/.f64 y x) y)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (-.f64 (/.f64 y x) y)) (/.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (-.f64 (/.f64 y x) y)) (fma.f64 (/.f64 (*.f64 y y) (-.f64 (/.f64 y x) y)) (/.f64 (*.f64 y y) (-.f64 (/.f64 y x) y)) (*.f64 (/.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (-.f64 (/.f64 y x) y)) (/.f64 (*.f64 y y) (-.f64 (/.f64 y x) y)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 y y) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) (neg.f64 (-.f64 y (/.f64 y x)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (*.f64 y y)))) (neg.f64 (neg.f64 (-.f64 (/.f64 y x) y)))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (/.f64 y x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 y (-.f64 y (/.f64 y x)) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 y y) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) (-.f64 y (/.f64 y x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (*.f64 y y))) (neg.f64 (-.f64 (/.f64 y x) y))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (/.f64 y x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (*.f64 (/.f64 y x) y))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (/.f64 y x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (-.f64 y (/.f64 y x)) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (*.f64 y y)) (-.f64 (/.f64 y x) y)) |
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) (fma.f64 y y (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (*.f64 (/.f64 y x) y)))) |
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) (fma.f64 y (-.f64 y (/.f64 y x)) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y x) y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (/.f64 y x)) (-.f64 (*.f64 y y) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (*.f64 (/.f64 y x) y))) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (/.f64 y x) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y x) y)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y x) y))) |
(fma.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x) y) |
(fma.f64 (/.f64 y #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)) y) |
(fma.f64 (neg.f64 (neg.f64 y)) (pow.f64 x #s(literal -1 binary64)) y) |
(fma.f64 (*.f64 y #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)) y) |
(fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (pow.f64 (-.f64 (/.f64 y x) y) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 (/.f64 y x) y)))) |
(fma.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) x) y) |
(fma.f64 (/.f64 y x) #s(literal 1 binary64) y) |
(fma.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) y) |
(fma.f64 (pow.f64 x #s(literal -1 binary64)) y y) |
(fma.f64 #s(literal 1 binary64) (/.f64 y x) y) |
(fma.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) x) y) |
(fma.f64 y (pow.f64 x #s(literal -1 binary64)) y) |
(-.f64 (/.f64 (*.f64 y y) (-.f64 y (/.f64 y x))) (/.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (-.f64 y (/.f64 y x)))) |
(-.f64 (/.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (-.f64 (/.f64 y x) y)) (/.f64 (*.f64 y y) (-.f64 (/.f64 y x) y))) |
(+.f64 (/.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (-.f64 (/.f64 y x) y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 (/.f64 y x) y)))) |
(+.f64 (/.f64 y x) y) |
(+.f64 y (/.f64 y x)) |
Compiled 23 993 to 3 081 computations (87.2% saved)
15 alts after pruning (12 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 788 | 10 | 798 |
| Fresh | 1 | 2 | 3 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 791 | 15 | 806 |
| Status | Accuracy | Program |
|---|---|---|
| 41.4% | (/.f64 (pow.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) x) x) | |
| ✓ | 85.6% | (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) |
| 55.8% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) | |
| 61.8% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) x) | |
| ✓ | 75.7% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) |
| ▶ | 62.5% | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 #s(approx (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) y (/.f64 #s(literal 1 binary64) x))) |
| ▶ | 66.9% | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x)) |
| 36.9% | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (-.f64 (/.f64 x y) x) (*.f64 x (/.f64 x y)))) | |
| ▶ | 40.1% | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (-.f64 x (*.f64 y x)) (*.f64 x x))) |
| ✓ | 61.8% | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x))) |
| ▶ | 61.8% | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (*.f64 (-.f64 #s(literal -1 binary64) (neg.f64 y)) (/.f64 #s(literal -1 binary64) x))) |
| ▶ | 4.2% | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.f64 y) x))) |
| 65.0% | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x))) | |
| 37.2% | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) y) (/ 1 x)) (/.f64 (+.f64 x (*.f64 y (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x (*.f64 #s(literal 1/2 binary64) y)))) (*.f64 x x)))) | |
| 7.6% | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) y) (/ 1 x)) (*.f64 (*.f64 y (/.f64 (/.f64 y x) x)) #s(literal 1/2 binary64)))) |
Compiled 730 to 479 computations (34.4% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x) | |
| cost-diff | 0 | #s(approx (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) | |
| cost-diff | 0 | (fma.f64 #s(approx (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) y (/.f64 #s(literal 1 binary64) x)) | |
| cost-diff | 0 | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 #s(approx (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) y (/.f64 #s(literal 1 binary64) x))) | |
| cost-diff | 0 | (*.f64 y x) | |
| cost-diff | 0 | (-.f64 x (*.f64 y x)) | |
| cost-diff | 0 | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (-.f64 x (*.f64 y x)) (*.f64 x x))) | |
| cost-diff | 640 | (/.f64 (-.f64 x (*.f64 y x)) (*.f64 x x)) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (*.f64 (-.f64 #s(literal -1 binary64) (neg.f64 y)) (/.f64 #s(literal -1 binary64) x))) | |
| cost-diff | 128 | (-.f64 #s(literal -1 binary64) (neg.f64 y)) | |
| cost-diff | 320 | (*.f64 (-.f64 #s(literal -1 binary64) (neg.f64 y)) (/.f64 #s(literal -1 binary64) x)) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | (/.f64 (neg.f64 y) x) | |
| cost-diff | 0 | #s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.f64 y) x)) | |
| cost-diff | 0 | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.f64 y) x))) | |
| cost-diff | 0 | (-.f64 x (*.f64 y x)) | |
| cost-diff | 0 | (/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x) | |
| cost-diff | 0 | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x)) | |
| cost-diff | 1024 | (/.f64 (-.f64 x (*.f64 y x)) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 274 |
| 0 | 58 | 276 |
| 1 | 100 | 251 |
| 2 | 184 | 233 |
| 3 | 371 | 233 |
| 4 | 1309 | 233 |
| 5 | 3742 | 233 |
| 6 | 6131 | 233 |
| 7 | 7698 | 233 |
| 0 | 8053 | 230 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x)) |
(/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x) |
(/.f64 (-.f64 x (*.f64 y x)) x) |
(-.f64 x (*.f64 y x)) |
x |
(*.f64 y x) |
y |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.f64 y) x))) |
#s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.f64 y) x)) |
(/.f64 (neg.f64 y) x) |
(neg.f64 y) |
y |
x |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (*.f64 (-.f64 #s(literal -1 binary64) (neg.f64 y)) (/.f64 #s(literal -1 binary64) x))) |
(*.f64 (-.f64 #s(literal -1 binary64) (neg.f64 y)) (/.f64 #s(literal -1 binary64) x)) |
(-.f64 #s(literal -1 binary64) (neg.f64 y)) |
#s(literal -1 binary64) |
(neg.f64 y) |
y |
(/.f64 #s(literal -1 binary64) x) |
x |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (-.f64 x (*.f64 y x)) (*.f64 x x))) |
(/.f64 (-.f64 x (*.f64 y x)) (*.f64 x x)) |
(-.f64 x (*.f64 y x)) |
x |
(*.f64 y x) |
y |
(*.f64 x x) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 #s(approx (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) y (/.f64 #s(literal 1 binary64) x))) |
(fma.f64 #s(approx (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) y (/.f64 #s(literal 1 binary64) x)) |
#s(approx (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x) |
(fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) |
#s(literal 1/2 binary64) |
y |
#s(literal -1 binary64) |
x |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
| Outputs |
|---|
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x)) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (-.f64 #s(literal 1 binary64) y) x)) |
(/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x) |
(/.f64 (-.f64 #s(literal 1 binary64) y) x) |
(/.f64 (-.f64 x (*.f64 y x)) x) |
(-.f64 #s(literal 1 binary64) y) |
(-.f64 x (*.f64 y x)) |
x |
(*.f64 y x) |
y |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.f64 y) x))) |
#s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.f64 y) x)) |
(/.f64 (neg.f64 y) x) |
(neg.f64 y) |
y |
x |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (*.f64 (-.f64 #s(literal -1 binary64) (neg.f64 y)) (/.f64 #s(literal -1 binary64) x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (-.f64 #s(literal 1 binary64) y) x)) |
(*.f64 (-.f64 #s(literal -1 binary64) (neg.f64 y)) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) y) x) |
(-.f64 #s(literal -1 binary64) (neg.f64 y)) |
(-.f64 y #s(literal 1 binary64)) |
#s(literal -1 binary64) |
(neg.f64 y) |
y |
(/.f64 #s(literal -1 binary64) x) |
x |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (-.f64 x (*.f64 y x)) (*.f64 x x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (-.f64 #s(literal 1 binary64) y) x)) |
(/.f64 (-.f64 x (*.f64 y x)) (*.f64 x x)) |
(/.f64 (-.f64 #s(literal 1 binary64) y) x) |
(-.f64 x (*.f64 y x)) |
x |
(*.f64 y x) |
y |
(*.f64 x x) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 #s(approx (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) y (/.f64 #s(literal 1 binary64) x))) |
(fma.f64 #s(approx (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) y (/.f64 #s(literal 1 binary64) x)) |
#s(approx (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x) |
(fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) |
#s(literal 1/2 binary64) |
y |
#s(literal -1 binary64) |
x |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.00390625 | (/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x) | |
| accuracy | 1.9461633556620273 | (fma.f64 #s(approx (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) y (/.f64 #s(literal 1 binary64) x)) | |
| accuracy | 14.621125328848144 | #s(approx (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) | |
| accuracy | 26.81043993737968 | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 #s(approx (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) y (/.f64 #s(literal 1 binary64) x))) | |
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 0.01171875 | (-.f64 x (*.f64 y x)) | |
| accuracy | 24.462929914881723 | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (-.f64 x (*.f64 y x)) (*.f64 x x))) | |
| accuracy | 26.685997029775525 | (/.f64 (-.f64 x (*.f64 y x)) (*.f64 x x)) | |
| accuracy | 0.0 | (-.f64 #s(literal -1 binary64) (neg.f64 y)) | |
| accuracy | 0.0 | (neg.f64 y) | |
| accuracy | 0.07421875 | (*.f64 (-.f64 #s(literal -1 binary64) (neg.f64 y)) (/.f64 #s(literal -1 binary64) x)) | |
| accuracy | 24.462929914881723 | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (*.f64 (-.f64 #s(literal -1 binary64) (neg.f64 y)) (/.f64 #s(literal -1 binary64) x))) | |
| accuracy | 0.0 | (/.f64 (neg.f64 y) x) | |
| accuracy | 0.0 | (neg.f64 y) | |
| accuracy | 24.462929914881723 | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.f64 y) x))) | |
| accuracy | 37.86046750285467 | #s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.f64 y) x)) | |
| accuracy | 0.01171875 | (-.f64 x (*.f64 y x)) | |
| accuracy | 0.015625 | (/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x) | |
| accuracy | 7.570615857194347 | (/.f64 (-.f64 x (*.f64 y x)) x) | |
| accuracy | 24.462929914881723 | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x)) |
| 67.0ms | 120× | 1 | valid |
| 38.0ms | 136× | 0 | valid |
Compiled 466 to 80 computations (82.8% saved)
ival-div: 21.0ms (25.7% of total)ival-log: 18.0ms (22.1% of total)ival-add: 13.0ms (15.9% of total)ival-mult: 12.0ms (14.7% of total)adjust: 9.0ms (11% of total)ival-sub: 4.0ms (4.9% 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 (-.f64 x (*.f64 y x)) x) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x)) |
(/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x) |
(-.f64 x (*.f64 y x)) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.f64 y) x))) |
#s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.f64 y) x)) |
(/.f64 (neg.f64 y) x) |
(neg.f64 y) |
(*.f64 (-.f64 #s(literal -1 binary64) (neg.f64 y)) (/.f64 #s(literal -1 binary64) x)) |
(-.f64 #s(literal -1 binary64) (neg.f64 y)) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (*.f64 (-.f64 #s(literal -1 binary64) (neg.f64 y)) (/.f64 #s(literal -1 binary64) x))) |
(/.f64 (-.f64 x (*.f64 y x)) (*.f64 x x)) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (-.f64 x (*.f64 y x)) (*.f64 x x))) |
(*.f64 y x) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 #s(approx (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) y (/.f64 #s(literal 1 binary64) x))) |
(fma.f64 #s(approx (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) y (/.f64 #s(literal 1 binary64) x)) |
#s(approx (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x) |
(*.f64 x x) |
| Outputs |
|---|
(- 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) |
(/ (- 1 y) x) |
(* x (- 1 y)) |
(* -1 (/ y x)) |
(* -1 (/ (- y 1) x)) |
(* x y) |
(* 1/2 (/ (pow y 2) (pow x 2))) |
(/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) (pow x 2)) |
(* 1/2 (/ y (pow x 2))) |
(/ (+ (* 1/2 y) (* x (- (* 1/2 y) 1))) (pow x 2)) |
(/ (- (* 1/2 y) 1) x) |
(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 (- (* 1/2 y) 1))) x) |
(/ (+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1)))) x) |
(/ (- (+ (* 1/2 y) (* 1/2 (/ y x))) 1) x) |
(+ 1 (* -1 y)) |
(* -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 (* -1 y)) x) |
(* x (+ 1 (* -1 y))) |
(* -1 (/ (- (* y (+ 1 (* -1/2 y))) 1) x)) |
(* -1 (/ (- (+ (* -1/2 (/ (pow y 2) x)) (* y (+ 1 (* -1/2 y)))) 1) x)) |
(* -1 (/ (+ 1 (* -1/2 y)) x)) |
(* -1 (/ (+ 1 (+ (* -1/2 y) (* -1/2 (/ y x)))) x)) |
1 |
(+ (* -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)) |
x |
(+ x (* -1 (* x y))) |
(* -1 y) |
-1 |
(- y 1) |
(+ (* y (- (* 1/2 (/ (* y (+ 1 (/ 1 x))) x)) (/ 1 x))) (/ 1 x)) |
(/ -1 x) |
(- (* 1/2 (/ (* y (+ 1 (/ 1 x))) x)) (/ 1 x)) |
(- (* 1/2 (/ y x)) (/ 1 x)) |
(* y (- (/ 1 y) 1)) |
(/ (exp (* x (+ (log x) (log (/ 1 y))))) x) |
(+ (* -1 (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (/ (exp (* x (+ (log x) (log (/ 1 y))))) x)) |
(+ (* -1 (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (+ (/ (exp (* x (+ (log x) (log (/ 1 y))))) x) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x (pow y 2))))) |
(+ (* -1 (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (+ (/ (exp (* x (+ (log x) (log (/ 1 y))))) x) (+ (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (+ (* -1/6 (pow x 6)) (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* -2 (pow x 3)) (* 6 (pow x 3))))))))) (* x (pow y 3))) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x (pow y 2)))))) |
(* y (- (/ 1 (* x y)) (/ 1 x))) |
(* -1 (* x y)) |
(* y (- (/ x y) x)) |
y |
(* y (- 1 (/ 1 y))) |
(* 1/2 (/ (* (pow y 2) (+ 1 (/ 1 x))) x)) |
(* (pow y 2) (- (* 1/2 (/ (+ 1 (/ 1 x)) x)) (/ 1 (* x y)))) |
(* (pow y 2) (- (+ (* 1/2 (/ (+ 1 (/ 1 x)) x)) (/ 1 (* x (pow y 2)))) (/ 1 (* x y)))) |
(* 1/2 (/ (* y (+ 1 (/ 1 x))) x)) |
(* y (- (* 1/2 (/ (+ 1 (/ 1 x)) x)) (/ 1 (* x y)))) |
(* 1/2 (/ y x)) |
(* y (- (* 1/2 (/ 1 x)) (/ 1 (* x y)))) |
(* -1 (* y (- 1 (/ 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)) |
(* -1 (* y (- (/ 1 x) (/ 1 (* x y))))) |
(* -1 (* y (- (* -1 (/ x y)) (* -1 x)))) |
(* -1 (* y (- (/ 1 y) 1))) |
(* (pow y 2) (+ (* -1 (/ (- (/ 1 x) (/ 1 (* x y))) y)) (* 1/2 (/ (+ 1 (/ 1 x)) x)))) |
(* -1 (* y (+ (* -1/2 (/ (+ 1 (/ 1 x)) x)) (/ 1 (* x y))))) |
(* -1 (* y (- (/ 1 (* x y)) (* 1/2 (/ 1 x))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 54.0ms | x | @ | 0 | ((/ (- x (* y x)) x) (/ (exp (* x (log (/ x (+ x y))))) x) (/ (/ (- x (* y x)) x) x) (- x (* y x)) (/ (exp (* x (log (/ x (+ x y))))) x) (- (/ 1 x) (/ y x)) (/ (neg y) x) (neg y) (* (- -1 (neg y)) (/ -1 x)) (- -1 (neg y)) (/ (exp (* x (log (/ x (+ x y))))) x) (/ (- x (* y x)) (* x x)) (/ (exp (* x (log (/ x (+ x y))))) x) (* y x) (/ (exp (* x (log (/ x (+ x y))))) x) (+ (* (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) y) (/ 1 x)) (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) (/ (+ (* 1/2 y) -1) x) (* x x)) |
| 4.0ms | x | @ | -inf | ((/ (- x (* y x)) x) (/ (exp (* x (log (/ x (+ x y))))) x) (/ (/ (- x (* y x)) x) x) (- x (* y x)) (/ (exp (* x (log (/ x (+ x y))))) x) (- (/ 1 x) (/ y x)) (/ (neg y) x) (neg y) (* (- -1 (neg y)) (/ -1 x)) (- -1 (neg y)) (/ (exp (* x (log (/ x (+ x y))))) x) (/ (- x (* y x)) (* x x)) (/ (exp (* x (log (/ x (+ x y))))) x) (* y x) (/ (exp (* x (log (/ x (+ x y))))) x) (+ (* (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) y) (/ 1 x)) (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) (/ (+ (* 1/2 y) -1) x) (* x x)) |
| 4.0ms | x | @ | inf | ((/ (- x (* y x)) x) (/ (exp (* x (log (/ x (+ x y))))) x) (/ (/ (- x (* y x)) x) x) (- x (* y x)) (/ (exp (* x (log (/ x (+ x y))))) x) (- (/ 1 x) (/ y x)) (/ (neg y) x) (neg y) (* (- -1 (neg y)) (/ -1 x)) (- -1 (neg y)) (/ (exp (* x (log (/ x (+ x y))))) x) (/ (- x (* y x)) (* x x)) (/ (exp (* x (log (/ x (+ x y))))) x) (* y x) (/ (exp (* x (log (/ x (+ x y))))) x) (+ (* (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) y) (/ 1 x)) (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) (/ (+ (* 1/2 y) -1) x) (* x x)) |
| 3.0ms | y | @ | -inf | ((/ (- x (* y x)) x) (/ (exp (* x (log (/ x (+ x y))))) x) (/ (/ (- x (* y x)) x) x) (- x (* y x)) (/ (exp (* x (log (/ x (+ x y))))) x) (- (/ 1 x) (/ y x)) (/ (neg y) x) (neg y) (* (- -1 (neg y)) (/ -1 x)) (- -1 (neg y)) (/ (exp (* x (log (/ x (+ x y))))) x) (/ (- x (* y x)) (* x x)) (/ (exp (* x (log (/ x (+ x y))))) x) (* y x) (/ (exp (* x (log (/ x (+ x y))))) x) (+ (* (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) y) (/ 1 x)) (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) (/ (+ (* 1/2 y) -1) x) (* x x)) |
| 3.0ms | y | @ | inf | ((/ (- x (* y x)) x) (/ (exp (* x (log (/ x (+ x y))))) x) (/ (/ (- x (* y x)) x) x) (- x (* y x)) (/ (exp (* x (log (/ x (+ x y))))) x) (- (/ 1 x) (/ y x)) (/ (neg y) x) (neg y) (* (- -1 (neg y)) (/ -1 x)) (- -1 (neg y)) (/ (exp (* x (log (/ x (+ x y))))) x) (/ (- x (* y x)) (* x x)) (/ (exp (* x (log (/ x (+ x y))))) x) (* y x) (/ (exp (* x (log (/ x (+ x y))))) x) (+ (* (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) y) (/ 1 x)) (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) (/ (+ (* 1/2 y) -1) x) (* x x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 353 | 1407 |
| 1 | 1081 | 1229 |
| 2 | 3709 | 1110 |
| 0 | 8624 | 1056 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- 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) |
(/ (- 1 y) x) |
(* x (- 1 y)) |
(* -1 (/ y x)) |
(* -1 (/ (- y 1) x)) |
(* x y) |
(* 1/2 (/ (pow y 2) (pow x 2))) |
(/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) (pow x 2)) |
(* 1/2 (/ y (pow x 2))) |
(/ (+ (* 1/2 y) (* x (- (* 1/2 y) 1))) (pow x 2)) |
(/ (- (* 1/2 y) 1) x) |
(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 (- (* 1/2 y) 1))) x) |
(/ (+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1)))) x) |
(/ (- (+ (* 1/2 y) (* 1/2 (/ y x))) 1) x) |
(+ 1 (* -1 y)) |
(* -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 (* -1 y)) x) |
(* x (+ 1 (* -1 y))) |
(* -1 (/ (- (* y (+ 1 (* -1/2 y))) 1) x)) |
(* -1 (/ (- (+ (* -1/2 (/ (pow y 2) x)) (* y (+ 1 (* -1/2 y)))) 1) x)) |
(* -1 (/ (+ 1 (* -1/2 y)) x)) |
(* -1 (/ (+ 1 (+ (* -1/2 y) (* -1/2 (/ y x)))) x)) |
1 |
(+ (* -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)) |
x |
(+ x (* -1 (* x y))) |
(* -1 y) |
-1 |
(- y 1) |
(+ (* y (- (* 1/2 (/ (* y (+ 1 (/ 1 x))) x)) (/ 1 x))) (/ 1 x)) |
(/ -1 x) |
(- (* 1/2 (/ (* y (+ 1 (/ 1 x))) x)) (/ 1 x)) |
(- (* 1/2 (/ y x)) (/ 1 x)) |
(* y (- (/ 1 y) 1)) |
(/ (exp (* x (+ (log x) (log (/ 1 y))))) x) |
(+ (* -1 (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (/ (exp (* x (+ (log x) (log (/ 1 y))))) x)) |
(+ (* -1 (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (+ (/ (exp (* x (+ (log x) (log (/ 1 y))))) x) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x (pow y 2))))) |
(+ (* -1 (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (+ (/ (exp (* x (+ (log x) (log (/ 1 y))))) x) (+ (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (+ (* -1/6 (pow x 6)) (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* -2 (pow x 3)) (* 6 (pow x 3))))))))) (* x (pow y 3))) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x (pow y 2)))))) |
(* y (- (/ 1 (* x y)) (/ 1 x))) |
(* -1 (* x y)) |
(* y (- (/ x y) x)) |
y |
(* y (- 1 (/ 1 y))) |
(* 1/2 (/ (* (pow y 2) (+ 1 (/ 1 x))) x)) |
(* (pow y 2) (- (* 1/2 (/ (+ 1 (/ 1 x)) x)) (/ 1 (* x y)))) |
(* (pow y 2) (- (+ (* 1/2 (/ (+ 1 (/ 1 x)) x)) (/ 1 (* x (pow y 2)))) (/ 1 (* x y)))) |
(* 1/2 (/ (* y (+ 1 (/ 1 x))) x)) |
(* y (- (* 1/2 (/ (+ 1 (/ 1 x)) x)) (/ 1 (* x y)))) |
(* 1/2 (/ y x)) |
(* y (- (* 1/2 (/ 1 x)) (/ 1 (* x y)))) |
(* -1 (* y (- 1 (/ 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)) |
(* -1 (* y (- (/ 1 x) (/ 1 (* x y))))) |
(* -1 (* y (- (* -1 (/ x y)) (* -1 x)))) |
(* -1 (* y (- (/ 1 y) 1))) |
(* (pow y 2) (+ (* -1 (/ (- (/ 1 x) (/ 1 (* x y))) y)) (* 1/2 (/ (+ 1 (/ 1 x)) x)))) |
(* -1 (* y (+ (* -1/2 (/ (+ 1 (/ 1 x)) x)) (/ 1 (* x y))))) |
(* -1 (* y (- (/ 1 (* x y)) (* 1/2 (/ 1 x))))) |
| Outputs |
|---|
(- 1 y) |
(-.f64 #s(literal 1 binary64) y) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (* x (+ (log x) (log (/ 1 y))))) x) |
(/.f64 (fma.f64 (-.f64 (log.f64 x) (log.f64 y)) x #s(literal 1 binary64)) x) |
(/ (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y))))))) x) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 x) (log.f64 y)) #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) y)) x (-.f64 (log.f64 x) (log.f64 y))) x #s(literal 1 binary64)) x) |
(/ (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (* x (+ (* -1 (/ (+ (log x) (log (/ 1 y))) y)) (+ (* 1/6 (pow (+ (log x) (log (/ 1 y))) 3)) (* 1/2 (/ 1 (pow y 2))))))) (/ 1 y))))))) x) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 x) (log.f64 y)) #s(literal 3 binary64)) #s(literal 1/6 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 (-.f64 (log.f64 x) (log.f64 y)) y))) x (fma.f64 (pow.f64 (-.f64 (log.f64 x) (log.f64 y)) #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) y))) x (-.f64 (log.f64 x) (log.f64 y))) x #s(literal 1 binary64)) x) |
(/ (- 1 y) x) |
(/.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* x (- 1 y)) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* -1 (/ y x)) |
(/.f64 (neg.f64 y) x) |
(* -1 (/ (- y 1) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* x y) |
(*.f64 y x) |
(* 1/2 (/ (pow y 2) (pow x 2))) |
(*.f64 (*.f64 (/.f64 y x) y) (/.f64 #s(literal 1/2 binary64) x)) |
(/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) (pow x 2)) |
(/.f64 (+.f64 x (*.f64 y (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x (*.f64 #s(literal 1/2 binary64) y)))) (*.f64 x x)) |
(* 1/2 (/ y (pow x 2))) |
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) y) |
(/ (+ (* 1/2 y) (* x (- (* 1/2 y) 1))) (pow x 2)) |
(/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x (*.f64 #s(literal 1/2 binary64) y)) x) x) |
(/ (- (* 1/2 y) 1) x) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x) |
(pow x 2) |
(*.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 (*.f64 (exp.f64 (neg.f64 y)) (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) 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)) (+ (* 1/8 (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)) (fma.f64 (*.f64 (/.f64 y x) y) #s(literal 1/2 binary64) (/.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/8 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/3 binary64))) 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)) (fma.f64 (*.f64 (/.f64 y x) y) #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal 4 binary64)) (*.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -2 binary64) (pow.f64 y #s(literal 3 binary64))))) (*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 6 binary64)) #s(literal 1/24 binary64))) (pow.f64 x #s(literal 3 binary64))) (/.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/8 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/3 binary64))) x) x))) (exp.f64 (neg.f64 y))) x) |
(/ (+ 1 (* y (- (* 1/2 y) 1))) x) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x) |
(/ (+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1)))) x) |
(/.f64 (fma.f64 (*.f64 (/.f64 y x) y) #s(literal 1/2 binary64) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) |
(/ (- (+ (* 1/2 y) (* 1/2 (/ y x))) 1) x) |
(/.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y #s(literal -1 binary64)) x) |
(+ 1 (* -1 y)) |
(-.f64 #s(literal 1 binary64) y) |
(* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) x)) |
(/.f64 (*.f64 (exp.f64 (neg.f64 y)) (fma.f64 (*.f64 (/.f64 y x) y) #s(literal -1/2 binary64) #s(literal -1 binary64))) (neg.f64 x)) |
(* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1 (/ (+ (* 1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (/ (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)))) x)) x))) x)) |
(/.f64 (+.f64 (/.f64 (*.f64 (exp.f64 (neg.f64 y)) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) y (/.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/8 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/3 binary64))) x))) x) (exp.f64 (neg.f64 y))) x) |
(* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2))))) (/ (* (exp (* -1 y)) (+ (* -1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) x)) x)) (* 1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))) x))) x)) |
(/.f64 (+.f64 (/.f64 (fma.f64 (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64)) (*.f64 y y) (/.f64 (*.f64 (exp.f64 (neg.f64 y)) (-.f64 (/.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 6 binary64)) (*.f64 (*.f64 y y) (fma.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal 1/12 binary64) (*.f64 #s(literal -1/48 binary64) (pow.f64 y #s(literal 4 binary64)))))) x) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/8 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/3 binary64))))) (neg.f64 x))) x) (exp.f64 (neg.f64 y))) x) |
(/ (+ 1 (* -1 y)) x) |
(/.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* x (+ 1 (* -1 y))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* -1 (/ (- (* y (+ 1 (* -1/2 y))) 1) x)) |
(/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1 binary64)) y #s(literal -1 binary64)) (neg.f64 x)) |
(* -1 (/ (- (+ (* -1/2 (/ (pow y 2) x)) (* y (+ 1 (* -1/2 y)))) 1) x)) |
(/.f64 (+.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 (/.f64 y x) y) y) #s(literal -1 binary64))) (neg.f64 x)) |
(* -1 (/ (+ 1 (* -1/2 y)) x)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1 binary64)) (neg.f64 x)) |
(* -1 (/ (+ 1 (+ (* -1/2 y) (* -1/2 (/ y x)))) x)) |
(/.f64 (fma.f64 (+.f64 (/.f64 y x) y) #s(literal -1/2 binary64) #s(literal 1 binary64)) (neg.f64 x)) |
1 |
#s(literal 1 binary64) |
(+ (* -1 (/ y x)) (/ 1 x)) |
(/.f64 (-.f64 #s(literal 1 binary64) y) x) |
(+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x)) |
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 (/.f64 y x) y)) y (/.f64 (-.f64 #s(literal 1 binary64) y) 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)) |
(fma.f64 (*.f64 (fma.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 (neg.f64 y) x) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x))) y) y (/.f64 (-.f64 #s(literal 1 binary64) y) x)) |
x |
(+ x (* -1 (* x y))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* -1 y) |
(neg.f64 y) |
-1 |
#s(literal -1 binary64) |
(- y 1) |
(-.f64 y #s(literal 1 binary64)) |
(+ (* y (- (* 1/2 (/ (* y (+ 1 (/ 1 x))) x)) (/ 1 x))) (/ 1 x)) |
(fma.f64 (/.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y #s(literal -1 binary64)) x) y (/.f64 #s(literal 1 binary64) x)) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(- (* 1/2 (/ (* y (+ 1 (/ 1 x))) x)) (/ 1 x)) |
(/.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y #s(literal -1 binary64)) x) |
(- (* 1/2 (/ y x)) (/ 1 x)) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x) |
(* y (- (/ 1 y) 1)) |
(-.f64 #s(literal 1 binary64) y) |
(/ (exp (* x (+ (log x) (log (/ 1 y))))) x) |
(/.f64 (pow.f64 (exp.f64 x) (-.f64 (log.f64 x) (log.f64 y))) x) |
(+ (* -1 (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (/ (exp (* x (+ (log x) (log (/ 1 y))))) x)) |
(fma.f64 (/.f64 (pow.f64 (exp.f64 x) (-.f64 (log.f64 x) (log.f64 y))) (neg.f64 y)) x (/.f64 (pow.f64 (exp.f64 x) (-.f64 (log.f64 x) (log.f64 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))))) |
(fma.f64 (fma.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))) y) (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) (/.f64 (pow.f64 (exp.f64 x) (-.f64 (log.f64 x) (log.f64 y))) x) (*.f64 (pow.f64 (exp.f64 x) (-.f64 (log.f64 x) (log.f64 y))) (/.f64 (neg.f64 x) y))) |
(+ (* -1 (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (+ (/ (exp (* x (+ (log x) (log (/ 1 y))))) x) (+ (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (+ (* -1/6 (pow x 6)) (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* -2 (pow x 3)) (* 6 (pow x 3))))))))) (* x (pow y 3))) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x (pow y 2)))))) |
(fma.f64 (/.f64 (pow.f64 (exp.f64 x) (-.f64 (log.f64 x) (log.f64 y))) (neg.f64 y)) x (fma.f64 (/.f64 (pow.f64 (exp.f64 x) (-.f64 (log.f64 x) (log.f64 y))) x) (fma.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))) y) (/.f64 #s(literal 1/2 binary64) y) (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))) x (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/6 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) x) #s(literal -1/2 binary64)))) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (pow.f64 (exp.f64 x) (-.f64 (log.f64 x) (log.f64 y))) x))) |
(* y (- (/ 1 (* x y)) (/ 1 x))) |
(-.f64 (/.f64 (/.f64 y x) y) (/.f64 y x)) |
(* -1 (* x y)) |
(*.f64 (neg.f64 x) y) |
(* y (- (/ x y) x)) |
(*.f64 (-.f64 (/.f64 x y) x) y) |
y |
(* y (- 1 (/ 1 y))) |
(-.f64 y #s(literal 1 binary64)) |
(* 1/2 (/ (* (pow y 2) (+ 1 (/ 1 x))) x)) |
(*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x) (*.f64 y y)) |
(* (pow y 2) (- (* 1/2 (/ (+ 1 (/ 1 x)) x)) (/ 1 (* x y)))) |
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x) (/.f64 (/.f64 #s(literal 1 binary64) y) x)) (*.f64 y y)) |
(* (pow y 2) (- (+ (* 1/2 (/ (+ 1 (/ 1 x)) x)) (/ 1 (* x (pow y 2)))) (/ 1 (* x y)))) |
(*.f64 (*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) y) x)) y)) y) y) |
(* 1/2 (/ (* y (+ 1 (/ 1 x))) x)) |
(/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y) x) |
(* y (- (* 1/2 (/ (+ 1 (/ 1 x)) x)) (/ 1 (* x y)))) |
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x) (/.f64 (/.f64 #s(literal 1 binary64) y) x)) y) |
(* 1/2 (/ y x)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) x) y) |
(* y (- (* 1/2 (/ 1 x)) (/ 1 (* x y)))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) x) y (/.f64 (/.f64 (neg.f64 y) x) y)) |
(* -1 (* y (- 1 (/ 1 y)))) |
(-.f64 #s(literal 1 binary64) y) |
(/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x) |
(/.f64 (*.f64 (pow.f64 (neg.f64 x) x) (pow.f64 (/.f64 #s(literal -1 binary64) y) x)) x) |
(+ (* -1 (/ (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x)) |
(fma.f64 (/.f64 (*.f64 (pow.f64 (neg.f64 x) x) (pow.f64 (/.f64 #s(literal -1 binary64) y) x)) (neg.f64 y)) x (/.f64 (*.f64 (pow.f64 (neg.f64 x) x) (pow.f64 (/.f64 #s(literal -1 binary64) y) x)) x)) |
(+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x y))) (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x)) |
(-.f64 (/.f64 (*.f64 (pow.f64 (neg.f64 x) x) (pow.f64 (/.f64 #s(literal -1 binary64) y) x)) x) (/.f64 (*.f64 (*.f64 (pow.f64 (neg.f64 x) x) (pow.f64 (/.f64 #s(literal -1 binary64) y) x)) (fma.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))) y) x)) y)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3)))))) (+ (* 1/6 (pow x 6)) (* 1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))))) (* x y))) (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) x)) y)) (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x)) |
(-.f64 (/.f64 (*.f64 (pow.f64 (neg.f64 x) x) (pow.f64 (/.f64 #s(literal -1 binary64) y) x)) x) (/.f64 (fma.f64 (*.f64 (pow.f64 (neg.f64 x) x) (pow.f64 (/.f64 #s(literal -1 binary64) y) x)) x (/.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (neg.f64 x) x) (pow.f64 (/.f64 #s(literal -1 binary64) y) x)) x) (-.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64)) (/.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))) y)) |
(* -1 (* y (- (/ 1 x) (/ 1 (* x y))))) |
(-.f64 (/.f64 (/.f64 y x) y) (/.f64 y x)) |
(* -1 (* y (- (* -1 (/ x y)) (* -1 x)))) |
(*.f64 (-.f64 (/.f64 x y) x) y) |
(* -1 (* y (- (/ 1 y) 1))) |
(-.f64 y #s(literal 1 binary64)) |
(* (pow y 2) (+ (* -1 (/ (- (/ 1 x) (/ 1 (* x y))) y)) (* 1/2 (/ (+ 1 (/ 1 x)) x)))) |
(*.f64 (*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) y) x)) y)) y) y) |
(* -1 (* y (+ (* -1/2 (/ (+ 1 (/ 1 x)) x)) (/ 1 (* x y))))) |
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x) (/.f64 (/.f64 #s(literal 1 binary64) y) x)) y) |
(* -1 (* y (- (/ 1 (* x y)) (* 1/2 (/ 1 x))))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) x) y (/.f64 (/.f64 (neg.f64 y) x) y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 240 |
| 0 | 58 | 238 |
| 1 | 255 | 201 |
| 2 | 2245 | 201 |
| 0 | 8719 | 198 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 x (*.f64 y x)) x) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x)) |
(/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x) |
(-.f64 x (*.f64 y x)) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.f64 y) x))) |
#s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.f64 y) x)) |
(/.f64 (neg.f64 y) x) |
(neg.f64 y) |
(*.f64 (-.f64 #s(literal -1 binary64) (neg.f64 y)) (/.f64 #s(literal -1 binary64) x)) |
(-.f64 #s(literal -1 binary64) (neg.f64 y)) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (*.f64 (-.f64 #s(literal -1 binary64) (neg.f64 y)) (/.f64 #s(literal -1 binary64) x))) |
(/.f64 (-.f64 x (*.f64 y x)) (*.f64 x x)) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (-.f64 x (*.f64 y x)) (*.f64 x x))) |
(*.f64 y x) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 #s(approx (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) y (/.f64 #s(literal 1 binary64) x))) |
(fma.f64 #s(approx (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) y (/.f64 #s(literal 1 binary64) x)) |
#s(approx (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x) |
(*.f64 x x) |
| Outputs |
|---|
(*.f64 (/.f64 (fma.f64 #s(literal -1 binary64) y #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(*.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 (fma.f64 y x x) #s(literal -1 binary64)) x)) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 (fma.f64 (*.f64 y x) (fma.f64 y x x) (*.f64 x x)) #s(literal -1 binary64)) x)) |
(*.f64 (/.f64 (fma.f64 y x x) x) (/.f64 (-.f64 x (*.f64 y x)) (fma.f64 y x x))) |
(*.f64 (/.f64 (fma.f64 (*.f64 y x) (fma.f64 y x x) (*.f64 x x)) x) (/.f64 (-.f64 x (*.f64 y x)) (fma.f64 (*.f64 y x) (fma.f64 y x x) (*.f64 x x)))) |
(*.f64 (/.f64 (fma.f64 #s(literal -1 binary64) y #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 (fma.f64 y x x) #s(literal -1 binary64)) x)) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 (fma.f64 (*.f64 y x) (fma.f64 y x x) (*.f64 x x)) #s(literal -1 binary64)) x)) |
(*.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (+.f64 y #s(literal 1 binary64))) (pow.f64 x #s(literal -2 binary64))) |
(*.f64 (/.f64 (fma.f64 #s(literal -1 binary64) y #s(literal 1 binary64)) x) x) |
(*.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) (/.f64 (pow.f64 (fma.f64 y x x) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x) (/.f64 (pow.f64 (fma.f64 (*.f64 y x) (fma.f64 y x x) (*.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 x (*.f64 y x)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 x (*.f64 y x)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (pow.f64 (/.f64 x (-.f64 (*.f64 x x) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 y x x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 y x) (fma.f64 y x x) (*.f64 x x)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 x (*.f64 y x)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (neg.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) y) x)) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 x (*.f64 y x)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (-.f64 x (*.f64 y x))) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (-.f64 x (*.f64 y x)) #s(literal 1 binary64))) |
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y #s(literal 1 binary64)))) |
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) |
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y #s(literal 1 binary64)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)) |
(*.f64 (-.f64 x (*.f64 y x)) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (-.f64 x (*.f64 y x)) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) x)) |
(pow.f64 (/.f64 (/.f64 x (-.f64 x (*.f64 y x))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (neg.f64 (/.f64 x (-.f64 x (*.f64 y x)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 x (-.f64 x (*.f64 y x))) #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 y #s(literal 1 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 y #s(literal 1 binary64))) (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y #s(literal 1 binary64))))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (*.f64 y #s(literal 1 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 (*.f64 y #s(literal 1 binary64))) (neg.f64 (*.f64 y #s(literal 1 binary64)))) (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 y #s(literal 1 binary64))))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal -1 binary64)))) (neg.f64 (fma.f64 y x x))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (pow.f64 x #s(literal -1 binary64)))) (neg.f64 (fma.f64 (*.f64 y x) (fma.f64 y x x) (*.f64 x x)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y #s(literal 1 binary64)) #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 y #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 y #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 y #s(literal 1 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64))) (neg.f64 (*.f64 (fma.f64 y x x) (neg.f64 x)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) #s(literal -1 binary64))) (neg.f64 (*.f64 (fma.f64 (*.f64 y x) (fma.f64 y x x) (*.f64 x x)) (neg.f64 x)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) y))) (*.f64 (neg.f64 x) x)) |
(/.f64 (neg.f64 (*.f64 (-.f64 x (*.f64 y x)) #s(literal -1 binary64))) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.f64 (*.f64 (-.f64 x (*.f64 y x)) #s(literal 1 binary64))) (neg.f64 x)) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 y x x) x))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 (*.f64 y x) (fma.f64 y x x) (*.f64 x x)) x))) |
(/.f64 (*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal -1 binary64))) (fma.f64 y x x)) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (pow.f64 x #s(literal -1 binary64))) (fma.f64 (*.f64 y x) (fma.f64 y x x) (*.f64 x x))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y #s(literal 1 binary64)) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 y #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 y #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 y #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (neg.f64 (*.f64 x (fma.f64 y x x)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (neg.f64 (*.f64 x (fma.f64 (*.f64 y x) (fma.f64 y x x) (*.f64 x x))))) |
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 #s(approx (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) (/.f64 y x))) (pow.f64 (*.f64 #s(approx (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) y) #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 (*.f64 #s(approx (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) y) #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(approx (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) y (/.f64 #s(literal -1 binary64) x)) (-.f64 (pow.f64 (*.f64 #s(approx (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) y) #s(literal 2 binary64)) (pow.f64 x #s(literal -2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 #s(approx (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) (/.f64 y x))) (pow.f64 (*.f64 #s(approx (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) y) #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 (*.f64 #s(approx (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) y) #s(literal 3 binary64))))) |
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) (*.f64 #s(approx (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) y)) |
(fma.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64) (*.f64 #s(approx (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) y)) |
(fma.f64 #s(approx (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) y (pow.f64 x #s(literal -1 binary64))) |
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 x (neg.f64 x)) (*.f64 #s(approx (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) y)) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x) (*.f64 #s(approx (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) y)) |
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)) (*.f64 #s(approx (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) y)) |
(fma.f64 y #s(approx (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) (pow.f64 x #s(literal -1 binary64))) |
(fma.f64 x (pow.f64 x #s(literal -2 binary64)) (*.f64 #s(approx (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) y)) |
(-.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 #s(approx (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) y))) (/.f64 (pow.f64 (*.f64 #s(approx (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) y) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 #s(approx (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) y)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(approx (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) y) #s(literal 2 binary64)) (fma.f64 #s(approx (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) y (/.f64 #s(literal -1 binary64) x))) (/.f64 (pow.f64 x #s(literal -2 binary64)) (fma.f64 #s(approx (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) y (/.f64 #s(literal -1 binary64) x)))) |
(+.f64 (*.f64 #s(approx (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) y) (pow.f64 x #s(literal -1 binary64))) |
(+.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 #s(approx (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) y)) |
#s(approx (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) #s(literal -1 binary64)) x)) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) #s(literal -1 binary64)) x) (/.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (-.f64 #s(literal 1 binary64) (*.f64 y #s(literal -1/2 binary64)))) #s(literal -1 binary64)) x)) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64)) x) (/.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (-.f64 #s(literal 1 binary64) (*.f64 y #s(literal -1/2 binary64)))) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 x (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) #s(literal -1 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 x (fma.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (-.f64 #s(literal 1 binary64) (*.f64 y #s(literal -1/2 binary64)))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) x) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)))) |
(*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64))) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x) #s(literal 1 binary64)) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) |
(pow.f64 (/.f64 (/.f64 x (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 x (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (-.f64 #s(literal 1 binary64) (*.f64 y #s(literal -1/2 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) #s(literal -1 binary64))) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) #s(literal 1 binary64))) (neg.f64 x)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64))))) (neg.f64 (neg.f64 (neg.f64 x)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) #s(literal -1 binary64)) #s(literal -1 binary64))) (neg.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) (neg.f64 x)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) #s(literal -1 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) x))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) (neg.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (-.f64 #s(literal 1 binary64) (*.f64 y #s(literal -1/2 binary64)))) (neg.f64 x)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (-.f64 #s(literal 1 binary64) (*.f64 y #s(literal -1/2 binary64)))) x))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (-.f64 #s(literal 1 binary64) (*.f64 y #s(literal -1/2 binary64))))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 x)) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) #s(literal 1 binary64)) x) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)))) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) #s(literal -1 binary64))) (neg.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (*.f64 x (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (-.f64 #s(literal 1 binary64) (*.f64 y #s(literal -1/2 binary64))))))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) (neg.f64 x))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) x)) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (-.f64 #s(literal 1 binary64) (*.f64 y #s(literal -1/2 binary64)))) (neg.f64 x))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (-.f64 #s(literal 1 binary64) (*.f64 y #s(literal -1/2 binary64)))) x)) |
(/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) #s(literal -1 binary64)) (*.f64 x (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)))) |
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64)) (*.f64 x (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (-.f64 #s(literal 1 binary64) (*.f64 y #s(literal -1/2 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64))) (neg.f64 x)) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 x (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64))) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 x (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64))) x)) |
(neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) (neg.f64 x))) |
(-.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y y)) (*.f64 x (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64))))) |
(-.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y y)) (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64))) x) (/.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) #s(literal -1 binary64)) x)) |
(-.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) (neg.f64 x))) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)))) #s(literal -1 binary64))) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 x x)) |
(*.f64 x x) |
(pow.f64 (neg.f64 x) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
Compiled 25 553 to 2 879 computations (88.7% saved)
18 alts after pruning (13 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 770 | 8 | 778 |
| Fresh | 2 | 5 | 7 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 3 | 3 |
| Total | 775 | 18 | 793 |
| Status | Accuracy | Program |
|---|---|---|
| 41.4% | (/.f64 (pow.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) x) x) | |
| ✓ | 85.6% | (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) |
| 55.8% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) | |
| ▶ | 61.8% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) x) |
| ✓ | 75.7% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) |
| ✓ | 62.5% | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 #s(approx (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) y (/.f64 #s(literal 1 binary64) x))) |
| 62.3% | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 #s(approx (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) #s(approx (/ (+ (* 1/2 y) -1) x) (*.f64 (/.f64 #s(literal 1/2 binary64) x) y))) y (/.f64 #s(literal 1 binary64) x))) | |
| ▶ | 39.7% | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (fma.f64 y x x) (*.f64 x x))) |
| ▶ | 36.1% | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) y)) (*.f64 x x)) x)) |
| 9.3% | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 #s(approx (- x (* y x)) (*.f64 (neg.f64 x) y)) x) x)) | |
| ✓ | 61.8% | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x))) |
| 10.6% | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (*.f64 (neg.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x x)))) | |
| ✓ | 4.2% | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.f64 y) x))) |
| 4.2% | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (/.f64 #s(literal -1 binary64) (/.f64 x y)))) | |
| 4.2% | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (*.f64 y (/.f64 #s(literal -1 binary64) x)))) | |
| ▶ | 65.0% | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x))) |
| 37.2% | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) y) (/ 1 x)) (/.f64 (+.f64 x (*.f64 y (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x (*.f64 #s(literal 1/2 binary64) y)))) (*.f64 x x)))) | |
| ▶ | 5.7% | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) y) (/ 1 x)) (*.f64 (*.f64 (/.f64 y x) y) (/.f64 #s(literal 1/2 binary64) x)))) |
Compiled 877 to 570 computations (35% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) y)) (*.f64 x x)) x) | |
| cost-diff | 0 | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) y)) (*.f64 x x)) x)) | |
| cost-diff | 320 | (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) y)) | |
| cost-diff | 1664 | (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) y)) (*.f64 x x)) | |
| cost-diff | 0 | (*.f64 (/.f64 y x) y) | |
| cost-diff | 0 | (*.f64 (*.f64 (/.f64 y x) y) (/.f64 #s(literal 1/2 binary64) x)) | |
| cost-diff | 0 | #s(approx (+ (* (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) y) (/ 1 x)) (*.f64 (*.f64 (/.f64 y x) y) (/.f64 #s(literal 1/2 binary64) x))) | |
| cost-diff | 0 | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) y) (/ 1 x)) (*.f64 (*.f64 (/.f64 y x) y) (/.f64 #s(literal 1/2 binary64) x)))) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (fma.f64 y x x) | |
| cost-diff | 0 | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (fma.f64 y x x) (*.f64 x x))) | |
| cost-diff | 512 | (/.f64 (fma.f64 y x x) (*.f64 x 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 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x) | |
| cost-diff | 0 | #s(approx (+ (* (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x)) | |
| cost-diff | 0 | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 333 |
| 0 | 62 | 323 |
| 1 | 115 | 293 |
| 2 | 240 | 287 |
| 3 | 509 | 275 |
| 4 | 1872 | 275 |
| 5 | 5235 | 275 |
| 0 | 8055 | 267 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x))) |
#s(approx (+ (* (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x)) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) |
#s(literal 1/2 binary64) |
y |
#s(literal -1 binary64) |
#s(literal 1 binary64) |
x |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) |
(-.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
x |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (fma.f64 y x x) (*.f64 x x))) |
(/.f64 (fma.f64 y x x) (*.f64 x x)) |
(fma.f64 y x x) |
y |
x |
(*.f64 x x) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) y) (/ 1 x)) (*.f64 (*.f64 (/.f64 y x) y) (/.f64 #s(literal 1/2 binary64) x)))) |
#s(approx (+ (* (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) y) (/ 1 x)) (*.f64 (*.f64 (/.f64 y x) y) (/.f64 #s(literal 1/2 binary64) x))) |
(*.f64 (*.f64 (/.f64 y x) y) (/.f64 #s(literal 1/2 binary64) x)) |
(*.f64 (/.f64 y x) y) |
(/.f64 y x) |
y |
x |
(/.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) y)) (*.f64 x x)) x)) |
(/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) y)) (*.f64 x x)) x) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) y)) (*.f64 x x)) |
(-.f64 (*.f64 x x) (*.f64 (*.f64 x x) y)) |
(*.f64 x x) |
x |
(*.f64 (*.f64 x x) y) |
y |
| Outputs |
|---|
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x))) |
#s(approx (+ (* (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x)) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) |
#s(literal 1/2 binary64) |
y |
#s(literal -1 binary64) |
#s(literal 1 binary64) |
x |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) |
(-.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
x |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (fma.f64 y x x) (*.f64 x x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (+.f64 #s(literal 1 binary64) y) x)) |
(/.f64 (fma.f64 y x x) (*.f64 x x)) |
(/.f64 (+.f64 #s(literal 1 binary64) y) x) |
(fma.f64 y x x) |
y |
x |
(*.f64 x x) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) y) (/ 1 x)) (*.f64 (*.f64 (/.f64 y x) y) (/.f64 #s(literal 1/2 binary64) x)))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) y) (/ 1 x)) (*.f64 (*.f64 (/.f64 (/.f64 y x) x) y) #s(literal 1/2 binary64)))) |
#s(approx (+ (* (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) y) (/ 1 x)) (*.f64 (*.f64 (/.f64 y x) y) (/.f64 #s(literal 1/2 binary64) x))) |
#s(approx (+ (* (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) y) (/ 1 x)) (*.f64 (*.f64 (/.f64 (/.f64 y x) x) y) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (/.f64 y x) y) (/.f64 #s(literal 1/2 binary64) x)) |
(*.f64 (*.f64 (/.f64 (/.f64 y x) x) y) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 y x) y) |
(/.f64 y x) |
y |
x |
(/.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) y)) (*.f64 x x)) x)) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (-.f64 #s(literal 1 binary64) y) x)) |
(/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) y)) (*.f64 x x)) x) |
(/.f64 (-.f64 #s(literal 1 binary64) y) x) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) y)) (*.f64 x x)) |
(-.f64 #s(literal 1 binary64) y) |
(-.f64 (*.f64 x x) (*.f64 (*.f64 x x) y)) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) x) |
(*.f64 x x) |
x |
(*.f64 (*.f64 x x) y) |
y |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 7.246050402434323 | (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) y)) | |
| accuracy | 9.32063635425389 | (*.f64 (*.f64 x x) y) | |
| accuracy | 24.462929914881723 | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) y)) (*.f64 x x)) x)) | |
| accuracy | 32.70603861551881 | (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) y)) (*.f64 x x)) | |
| accuracy | 0.140625 | (*.f64 (/.f64 y x) y) | |
| accuracy | 2.671478715446343 | (*.f64 (*.f64 (/.f64 y x) y) (/.f64 #s(literal 1/2 binary64) x)) | |
| accuracy | 26.81043993737968 | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) y) (/ 1 x)) (*.f64 (*.f64 (/.f64 y x) y) (/.f64 #s(literal 1/2 binary64) x)))) | |
| accuracy | 48.151729682957516 | #s(approx (+ (* (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) y) (/ 1 x)) (*.f64 (*.f64 (/.f64 y x) y) (/.f64 #s(literal 1/2 binary64) x))) | |
| accuracy | 0.0 | (fma.f64 y x x) | |
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 24.98155742461258 | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (fma.f64 y x x) (*.f64 x x))) | |
| accuracy | 26.631369315507794 | (/.f64 (fma.f64 y x x) (*.f64 x x)) | |
| 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 | 24.52307814801752 | #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) | |
| accuracy | 0.0 | (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) | |
| accuracy | 3.589513371545733 | (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x) | |
| accuracy | 9.690483253196415 | #s(approx (+ (* (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x)) | |
| accuracy | 26.81043993737968 | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x))) |
| 162.0ms | 120× | 1 | valid |
| 81.0ms | 136× | 0 | valid |
Compiled 562 to 84 computations (85.1% saved)
ival-add: 58.0ms (39.7% of total)ival-div: 20.0ms (13.7% of total)ival-exp: 20.0ms (13.7% of total)ival-log: 20.0ms (13.7% of total)ival-mult: 18.0ms (12.3% of total)adjust: 7.0ms (4.8% of total)ival-sub: 3.0ms (2.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x))) |
#s(approx (+ (* (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x)) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) |
(/.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 (fma.f64 y x x) (*.f64 x x)) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (fma.f64 y x x) (*.f64 x x))) |
(fma.f64 y x x) |
(*.f64 x x) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) y) (/ 1 x)) (*.f64 (*.f64 (/.f64 y x) y) (/.f64 #s(literal 1/2 binary64) x)))) |
#s(approx (+ (* (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) y) (/ 1 x)) (*.f64 (*.f64 (/.f64 y x) y) (/.f64 #s(literal 1/2 binary64) x))) |
(*.f64 (*.f64 (/.f64 y x) y) (/.f64 #s(literal 1/2 binary64) x)) |
(*.f64 (/.f64 y x) y) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) y)) (*.f64 x x)) |
(-.f64 (*.f64 x x) (*.f64 (*.f64 x x) y)) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) y)) (*.f64 x x)) x)) |
(/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) y)) (*.f64 x x)) x) |
(fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) |
(*.f64 (*.f64 x x) 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) |
(* 1/2 (/ (pow y 2) (pow x 2))) |
(/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) (pow x 2)) |
(/ (+ 1 (* y (- (* 1/2 y) 1))) x) |
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 y) x) |
(* x (+ 1 y)) |
(pow x 2) |
(/ (pow y 2) x) |
(- 1 y) |
(* (pow x 2) (- 1 y)) |
(/ (- 1 y) x) |
(* (pow x 2) y) |
(/ (exp (* -1 y)) x) |
(/ (+ (exp (* -1 y)) (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) x) |
(/ (+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2)))) x) |
(/ (+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (+ (/ (* (exp (* -1 y)) (+ (* 1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (+ (* 1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) (pow x 3)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2))))) x) |
(/ (+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1)))) x) |
(exp (* -1 y)) |
(+ (exp (* -1 y)) (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) |
(+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2)))) |
(+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (+ (/ (* (exp (* -1 y)) (+ (* 1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (+ (* 1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) (pow x 3)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2))))) |
(* -1 (/ (+ (* -1 (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 y))) 1) x)) |
(* -1 (/ (- (+ (* -1/2 (/ (pow y 2) x)) (* y (+ 1 (* -1/2 y)))) 1) 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 y) 1) x)) |
(* -1 (* x (- (* -1 y) 1))) |
(+ (* -1 (/ y x)) (/ 1 x)) |
(+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x)) |
(+ (* y (- (* y (+ (* -1 (/ (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) x)) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))) (/ 1 x))) (/ 1 x)) |
(+ (* y (- (* 1/2 (/ (* y (+ 1 (/ 1 x))) x)) (/ 1 x))) (/ 1 x)) |
(+ (* y (- (* 1/2 (/ y x)) (/ 1 x))) (/ 1 x)) |
(+ 1 (* -1 y)) |
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(+ 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 x) (/ y x)) |
x |
(+ x (* x y)) |
(+ (* -1 (* (pow x 2) y)) (pow x 2)) |
-1 |
(- (* 1/2 y) 1) |
(/ (exp (* x (+ (log x) (log (/ 1 y))))) x) |
(+ (* -1 (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (/ (exp (* x (+ (log x) (log (/ 1 y))))) x)) |
(+ (* -1 (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (+ (/ (exp (* x (+ (log x) (log (/ 1 y))))) x) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x (pow y 2))))) |
(+ (* -1 (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (+ (/ (exp (* x (+ (log x) (log (/ 1 y))))) x) (+ (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (+ (* -1/6 (pow x 6)) (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* -2 (pow x 3)) (* 6 (pow x 3))))))))) (* x (pow y 3))) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x (pow y 2)))))) |
(* 1/2 (/ (* (pow y 2) (+ 1 (/ 1 x))) x)) |
(* (pow y 2) (- (* 1/2 (/ (+ 1 (/ 1 x)) x)) (/ 1 (* x y)))) |
(* (pow y 2) (- (+ (* 1/2 (/ (+ 1 (/ 1 x)) x)) (/ 1 (* x (pow y 2)))) (/ 1 (* x y)))) |
(* 1/2 (/ (pow y 2) x)) |
(* (pow y 2) (- (* 1/2 (/ 1 x)) (/ 1 (* x y)))) |
(* (pow y 2) (- (+ (* 1/2 (/ 1 x)) (/ 1 (* x (pow y 2)))) (/ 1 (* x y)))) |
(* 1/2 (pow y 2)) |
(* (pow y 2) (- 1/2 (/ 1 y))) |
(* (pow y 2) (- (+ 1/2 (/ 1 (pow y 2))) (/ 1 y))) |
(exp (* x (+ (log x) (log (/ 1 y))))) |
(+ (exp (* x (+ (log x) (log (/ 1 y))))) (* -1 (/ (* (pow x 2) (exp (* x (+ (log x) (log (/ 1 y)))))) y))) |
(+ (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1 (/ (* (pow x 2) (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (pow y 2)))) |
(+ (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1 (/ (* (pow x 2) (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (+ (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (+ (* -1/6 (pow x 6)) (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* -2 (pow x 3)) (* 6 (pow x 3))))))))) (pow y 3)) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (pow y 2))))) |
(* -1 y) |
(* y (- (/ 1 y) 1)) |
(/ y x) |
(* y (+ (/ 1 x) (/ 1 (* x y)))) |
(* x y) |
(* y (+ x (/ x y))) |
(* -1 (* (pow x 2) y)) |
(* y (- (/ (pow x 2) y) (pow x 2))) |
(* -1 (/ y x)) |
(* y (- (/ 1 (* x y)) (/ 1 x))) |
(* 1/2 y) |
(* 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)) |
(* (pow y 2) (+ (* -1 (/ (- (/ 1 x) (/ 1 (* x y))) y)) (* 1/2 (/ (+ 1 (/ 1 x)) x)))) |
(* (pow y 2) (+ (* -1 (/ (- (/ 1 x) (/ 1 (* x y))) y)) (* 1/2 (/ 1 x)))) |
(* (pow y 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 y)) y)))) |
(exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) |
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))) y))) |
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) y)) (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y))) |
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3)))))) (+ (* 1/6 (pow x 6)) (* 1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))))) y)) (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4))))) y)) (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y))) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) |
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -1 (pow x 2))))) |
(* -1 (* y (- (/ 1 x) (/ 1 (* x y))))) |
(* -1 (* y (- (/ 1 y) 1/2))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 37.0ms | x | @ | -inf | ((/ (exp (* x (log (/ x (+ x y))))) x) (+ (* (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) y) (/ 1 x)) (/ (+ (* (+ (* 1/2 y) -1) y) 1) x) (+ (* (+ (* 1/2 y) -1) y) 1) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (- 1 y) (/ (+ (* y x) x) (* x x)) (/ (exp (* x (log (/ x (+ x y))))) x) (+ (* y x) x) (* x x) (/ (exp (* x (log (/ x (+ x y))))) x) (+ (* (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) y) (/ 1 x)) (* (* (/ y x) y) (/ 1/2 x)) (* (/ y x) y) (/ (- (* x x) (* (* x x) y)) (* x x)) (- (* x x) (* (* x x) y)) (/ (exp (* x (log (/ x (+ x y))))) x) (/ (/ (- (* x x) (* (* x x) y)) (* x x)) x) (+ (* 1/2 y) -1) (* (* x x) y)) |
| 9.0ms | x | @ | inf | ((/ (exp (* x (log (/ x (+ x y))))) x) (+ (* (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) y) (/ 1 x)) (/ (+ (* (+ (* 1/2 y) -1) y) 1) x) (+ (* (+ (* 1/2 y) -1) y) 1) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (- 1 y) (/ (+ (* y x) x) (* x x)) (/ (exp (* x (log (/ x (+ x y))))) x) (+ (* y x) x) (* x x) (/ (exp (* x (log (/ x (+ x y))))) x) (+ (* (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) y) (/ 1 x)) (* (* (/ y x) y) (/ 1/2 x)) (* (/ y x) y) (/ (- (* x x) (* (* x x) y)) (* x x)) (- (* x x) (* (* x x) y)) (/ (exp (* x (log (/ x (+ x y))))) x) (/ (/ (- (* x x) (* (* x x) y)) (* x x)) x) (+ (* 1/2 y) -1) (* (* x x) y)) |
| 4.0ms | x | @ | 0 | ((/ (exp (* x (log (/ x (+ x y))))) x) (+ (* (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) y) (/ 1 x)) (/ (+ (* (+ (* 1/2 y) -1) y) 1) x) (+ (* (+ (* 1/2 y) -1) y) 1) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (- 1 y) (/ (+ (* y x) x) (* x x)) (/ (exp (* x (log (/ x (+ x y))))) x) (+ (* y x) x) (* x x) (/ (exp (* x (log (/ x (+ x y))))) x) (+ (* (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) y) (/ 1 x)) (* (* (/ y x) y) (/ 1/2 x)) (* (/ y x) y) (/ (- (* x x) (* (* x x) y)) (* x x)) (- (* x x) (* (* x x) y)) (/ (exp (* x (log (/ x (+ x y))))) x) (/ (/ (- (* x x) (* (* x x) y)) (* x x)) x) (+ (* 1/2 y) -1) (* (* x x) y)) |
| 4.0ms | y | @ | inf | ((/ (exp (* x (log (/ x (+ x y))))) x) (+ (* (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) y) (/ 1 x)) (/ (+ (* (+ (* 1/2 y) -1) y) 1) x) (+ (* (+ (* 1/2 y) -1) y) 1) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (- 1 y) (/ (+ (* y x) x) (* x x)) (/ (exp (* x (log (/ x (+ x y))))) x) (+ (* y x) x) (* x x) (/ (exp (* x (log (/ x (+ x y))))) x) (+ (* (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) y) (/ 1 x)) (* (* (/ y x) y) (/ 1/2 x)) (* (/ y x) y) (/ (- (* x x) (* (* x x) y)) (* x x)) (- (* x x) (* (* x x) y)) (/ (exp (* x (log (/ x (+ x y))))) x) (/ (/ (- (* x x) (* (* x x) y)) (* x x)) x) (+ (* 1/2 y) -1) (* (* x x) y)) |
| 4.0ms | y | @ | -inf | ((/ (exp (* x (log (/ x (+ x y))))) x) (+ (* (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) y) (/ 1 x)) (/ (+ (* (+ (* 1/2 y) -1) y) 1) x) (+ (* (+ (* 1/2 y) -1) y) 1) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (- 1 y) (/ (+ (* y x) x) (* x x)) (/ (exp (* x (log (/ x (+ x y))))) x) (+ (* y x) x) (* x x) (/ (exp (* x (log (/ x (+ x y))))) x) (+ (* (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) y) (/ 1 x)) (* (* (/ y x) y) (/ 1/2 x)) (* (/ y x) y) (/ (- (* x x) (* (* x x) y)) (* x x)) (- (* x x) (* (* x x) y)) (/ (exp (* x (log (/ x (+ x y))))) x) (/ (/ (- (* x x) (* (* x x) y)) (* x x)) x) (+ (* 1/2 y) -1) (* (* x x) y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 418 | 2323 |
| 1 | 1267 | 1995 |
| 2 | 4243 | 1772 |
| 0 | 8283 | 1681 |
| 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) |
(* 1/2 (/ (pow y 2) (pow x 2))) |
(/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) (pow x 2)) |
(/ (+ 1 (* y (- (* 1/2 y) 1))) x) |
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 y) x) |
(* x (+ 1 y)) |
(pow x 2) |
(/ (pow y 2) x) |
(- 1 y) |
(* (pow x 2) (- 1 y)) |
(/ (- 1 y) x) |
(* (pow x 2) y) |
(/ (exp (* -1 y)) x) |
(/ (+ (exp (* -1 y)) (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) x) |
(/ (+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2)))) x) |
(/ (+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (+ (/ (* (exp (* -1 y)) (+ (* 1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (+ (* 1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) (pow x 3)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2))))) x) |
(/ (+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1)))) 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)))) |
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(* -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 y))) 1) x)) |
(* -1 (/ (- (+ (* -1/2 (/ (pow y 2) x)) (* y (+ 1 (* -1/2 y)))) 1) 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 y) 1) x)) |
(* -1 (* x (- (* -1 y) 1))) |
(+ (* -1 (/ y x)) (/ 1 x)) |
(+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x)) |
(+ (* y (- (* y (+ (* -1 (/ (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) x)) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))) (/ 1 x))) (/ 1 x)) |
(+ (* y (- (* 1/2 (/ (* y (+ 1 (/ 1 x))) x)) (/ 1 x))) (/ 1 x)) |
(+ (* y (- (* 1/2 (/ y x)) (/ 1 x))) (/ 1 x)) |
(+ 1 (* -1 y)) |
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(+ 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 x) (/ y x)) |
x |
(+ x (* x y)) |
(+ (* -1 (* (pow x 2) y)) (pow x 2)) |
-1 |
(- (* 1/2 y) 1) |
(/ (exp (* x (+ (log x) (log (/ 1 y))))) x) |
(+ (* -1 (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (/ (exp (* x (+ (log x) (log (/ 1 y))))) x)) |
(+ (* -1 (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (+ (/ (exp (* x (+ (log x) (log (/ 1 y))))) x) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x (pow y 2))))) |
(+ (* -1 (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (+ (/ (exp (* x (+ (log x) (log (/ 1 y))))) x) (+ (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (+ (* -1/6 (pow x 6)) (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* -2 (pow x 3)) (* 6 (pow x 3))))))))) (* x (pow y 3))) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x (pow y 2)))))) |
(* 1/2 (/ (* (pow y 2) (+ 1 (/ 1 x))) x)) |
(* (pow y 2) (- (* 1/2 (/ (+ 1 (/ 1 x)) x)) (/ 1 (* x y)))) |
(* (pow y 2) (- (+ (* 1/2 (/ (+ 1 (/ 1 x)) x)) (/ 1 (* x (pow y 2)))) (/ 1 (* x y)))) |
(* 1/2 (/ (pow y 2) x)) |
(* (pow y 2) (- (* 1/2 (/ 1 x)) (/ 1 (* x y)))) |
(* (pow y 2) (- (+ (* 1/2 (/ 1 x)) (/ 1 (* x (pow y 2)))) (/ 1 (* x y)))) |
(* 1/2 (pow y 2)) |
(* (pow y 2) (- 1/2 (/ 1 y))) |
(* (pow y 2) (- (+ 1/2 (/ 1 (pow y 2))) (/ 1 y))) |
(exp (* x (+ (log x) (log (/ 1 y))))) |
(+ (exp (* x (+ (log x) (log (/ 1 y))))) (* -1 (/ (* (pow x 2) (exp (* x (+ (log x) (log (/ 1 y)))))) y))) |
(+ (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1 (/ (* (pow x 2) (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (pow y 2)))) |
(+ (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1 (/ (* (pow x 2) (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (+ (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (+ (* -1/6 (pow x 6)) (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* -2 (pow x 3)) (* 6 (pow x 3))))))))) (pow y 3)) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (pow y 2))))) |
(* -1 y) |
(* y (- (/ 1 y) 1)) |
(/ y x) |
(* y (+ (/ 1 x) (/ 1 (* x y)))) |
(* x y) |
(* y (+ x (/ x y))) |
(* -1 (* (pow x 2) y)) |
(* y (- (/ (pow x 2) y) (pow x 2))) |
(* -1 (/ y x)) |
(* y (- (/ 1 (* x y)) (/ 1 x))) |
(* 1/2 y) |
(* 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)) |
(* (pow y 2) (+ (* -1 (/ (- (/ 1 x) (/ 1 (* x y))) y)) (* 1/2 (/ (+ 1 (/ 1 x)) x)))) |
(* (pow y 2) (+ (* -1 (/ (- (/ 1 x) (/ 1 (* x y))) y)) (* 1/2 (/ 1 x)))) |
(* (pow y 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 y)) y)))) |
(exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) |
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))) y))) |
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) y)) (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y))) |
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3)))))) (+ (* 1/6 (pow x 6)) (* 1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))))) y)) (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4))))) y)) (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y))) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) |
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -1 (pow x 2))))) |
(* -1 (* y (- (/ 1 x) (/ 1 (* x y))))) |
(* -1 (* y (- (/ 1 y) 1/2))) |
| Outputs |
|---|
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (* x (+ (log x) (log (/ 1 y))))) x) |
(/.f64 (fma.f64 (-.f64 (log.f64 x) (log.f64 y)) x #s(literal 1 binary64)) x) |
(/ (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y))))))) x) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 x) (log.f64 y)) #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) y)) x (-.f64 (log.f64 x) (log.f64 y))) x #s(literal 1 binary64)) x) |
(/ (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (* x (+ (* -1 (/ (+ (log x) (log (/ 1 y))) y)) (+ (* 1/6 (pow (+ (log x) (log (/ 1 y))) 3)) (* 1/2 (/ 1 (pow y 2))))))) (/ 1 y))))))) x) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 x) (log.f64 y)) #s(literal 3 binary64)) #s(literal 1/6 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 (-.f64 (log.f64 x) (log.f64 y)) y))) x (fma.f64 (pow.f64 (-.f64 (log.f64 x) (log.f64 y)) #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) y))) x (-.f64 (log.f64 x) (log.f64 y))) x #s(literal 1 binary64)) x) |
(* 1/2 (/ (pow y 2) (pow x 2))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y) (/.f64 y x)) |
(/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) (pow x 2)) |
(/.f64 (+.f64 x (*.f64 y (fma.f64 x (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) y)))) (*.f64 x x)) |
(/ (+ 1 (* y (- (* 1/2 y) 1))) x) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* x (+ (log x) (log (/ 1 y))))) |
(fma.f64 (-.f64 (log.f64 x) (log.f64 y)) x #s(literal 1 binary64)) |
(+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y))))))) |
(fma.f64 (fma.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 x) (log.f64 y)) #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) y)) x (-.f64 (log.f64 x) (log.f64 y))) x #s(literal 1 binary64)) |
(+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (* x (+ (* -1 (/ (+ (log x) (log (/ 1 y))) y)) (+ (* 1/6 (pow (+ (log x) (log (/ 1 y))) 3)) (* 1/2 (/ 1 (pow y 2))))))) (/ 1 y))))))) |
(fma.f64 (fma.f64 (fma.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 x) (log.f64 y)) #s(literal 3 binary64)) #s(literal 1/6 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 (-.f64 (log.f64 x) (log.f64 y)) y))) x (fma.f64 (pow.f64 (-.f64 (log.f64 x) (log.f64 y)) #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) y))) x (-.f64 (log.f64 x) (log.f64 y))) x #s(literal 1 binary64)) |
(/ (+ 1 y) x) |
(/.f64 (+.f64 #s(literal 1 binary64) y) x) |
(* x (+ 1 y)) |
(fma.f64 y x x) |
(pow x 2) |
(*.f64 x x) |
(/ (pow y 2) x) |
(*.f64 (/.f64 y x) y) |
(- 1 y) |
(-.f64 #s(literal 1 binary64) y) |
(* (pow x 2) (- 1 y)) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) x) |
(/ (- 1 y) x) |
(/.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* (pow x 2) y) |
(*.f64 (*.f64 x x) 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 (*.f64 (exp.f64 (neg.f64 y)) (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) 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)) (+ (* 1/8 (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)) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y) y (/.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/8 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/3 binary64))) 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)) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y) y (+.f64 (/.f64 (fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -2 binary64) (pow.f64 y #s(literal 3 binary64))) (*.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal 4 binary64)))) (*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 6 binary64)) #s(literal 1/24 binary64))) (pow.f64 x #s(literal 3 binary64))) (/.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/8 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/3 binary64))) x) x))) (exp.f64 (neg.f64 y))) x) |
(/ (+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1)))) x) |
(/.f64 (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x) |
(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 (*.f64 (exp.f64 (neg.f64 y)) (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) x) (exp.f64 (neg.f64 y))) |
(+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (/ (* (exp (* -1 y)) (+ (* 1/8 (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 (exp.f64 (neg.f64 y)) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y) y (/.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/8 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/3 binary64))) x) x)) (exp.f64 (neg.f64 y))) |
(+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (+ (/ (* (exp (* -1 y)) (+ (* 1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (+ (* 1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) (pow x 3)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2))))) |
(fma.f64 (exp.f64 (neg.f64 y)) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y) y (+.f64 (/.f64 (fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -2 binary64) (pow.f64 y #s(literal 3 binary64))) (*.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal 4 binary64)))) (*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 6 binary64)) #s(literal 1/24 binary64))) (pow.f64 x #s(literal 3 binary64))) (/.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/8 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/3 binary64))) x) x))) (exp.f64 (neg.f64 y))) |
(* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) x)) |
(/.f64 (*.f64 (exp.f64 (neg.f64 y)) (fma.f64 (*.f64 (/.f64 y x) y) #s(literal -1/2 binary64) #s(literal -1 binary64))) (neg.f64 x)) |
(* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1 (/ (+ (* 1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (/ (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)))) x)) x))) x)) |
(/.f64 (+.f64 (/.f64 (*.f64 (exp.f64 (neg.f64 y)) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) y (/.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/8 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/3 binary64))) x))) x) (exp.f64 (neg.f64 y))) x) |
(* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2))))) (/ (* (exp (* -1 y)) (+ (* -1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) x)) x)) (* 1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))) x))) x)) |
(/.f64 (+.f64 (/.f64 (fma.f64 (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64)) (*.f64 y y) (/.f64 (*.f64 (exp.f64 (neg.f64 y)) (-.f64 (/.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 6 binary64)) (*.f64 (*.f64 y y) (fma.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal 1/12 binary64) (*.f64 #s(literal -1/48 binary64) (pow.f64 y #s(literal 4 binary64)))))) x) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/8 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/3 binary64))))) (neg.f64 x))) x) (exp.f64 (neg.f64 y))) x) |
(* -1 (/ (- (* y (+ 1 (* -1/2 y))) 1) x)) |
(/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1 binary64)) y #s(literal -1 binary64)) (neg.f64 x)) |
(* -1 (/ (- (+ (* -1/2 (/ (pow y 2) x)) (* y (+ 1 (* -1/2 y)))) 1) x)) |
(/.f64 (+.f64 (+.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 (/.f64 y x) y) y))) (neg.f64 x)) |
(+ (exp (* -1 y)) (* -1 (/ (+ (* -1 (/ (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)))) x)) (* -1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))) x))) |
(-.f64 (exp.f64 (neg.f64 y)) (/.f64 (*.f64 (exp.f64 (neg.f64 y)) (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) y) (/.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/8 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/3 binary64))) x))) 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))) |
(-.f64 (exp.f64 (neg.f64 y)) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (exp.f64 (neg.f64 y))) (*.f64 y y) (/.f64 (*.f64 (exp.f64 (neg.f64 y)) (-.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/8 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/3 binary64))) (/.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 6 binary64)) (*.f64 (*.f64 y y) (fma.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal 1/12 binary64) (*.f64 #s(literal -1/48 binary64) (pow.f64 y #s(literal 4 binary64)))))) x))) (neg.f64 x))) x)) |
(* -1 (/ (- (* -1 y) 1) x)) |
(/.f64 (+.f64 #s(literal 1 binary64) y) x) |
(* -1 (* x (- (* -1 y) 1))) |
(fma.f64 y x x) |
(+ (* -1 (/ y x)) (/ 1 x)) |
(/.f64 (-.f64 #s(literal 1 binary64) y) x) |
(+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x)) |
(fma.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x)) |
(+ (* 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)) |
(fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 (neg.f64 y) x) (+.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)) |
(+ (* y (- (* 1/2 (/ (* y (+ 1 (/ 1 x))) x)) (/ 1 x))) (/ 1 x)) |
(fma.f64 (fma.f64 (/.f64 (+.f64 (/.f64 y x) y) x) #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x)) |
(+ (* y (- (* 1/2 (/ y x)) (/ 1 x))) (/ 1 x)) |
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64))) y (/.f64 #s(literal 1 binary64) x)) |
(+ 1 (* -1 y)) |
(-.f64 #s(literal 1 binary64) y) |
(+ 1 (* y (- (* 1/2 y) 1))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) |
(+ 1 (* y (- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1))) |
(fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y #s(literal -1 binary64)) y #s(literal 1 binary64)) |
(+ 1 (* y (- (* y (+ 1/2 (+ (* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) (* 1/2 (/ 1 x))))) 1))) |
(fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64)) |
(+ (/ 1 x) (/ y x)) |
(*.f64 (+.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x)) |
x |
(+ x (* x y)) |
(fma.f64 y x x) |
(+ (* -1 (* (pow x 2) y)) (pow x 2)) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) x) |
-1 |
#s(literal -1 binary64) |
(- (* 1/2 y) 1) |
(fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) |
(/ (exp (* x (+ (log x) (log (/ 1 y))))) x) |
(/.f64 (pow.f64 (exp.f64 x) (-.f64 (log.f64 x) (log.f64 y))) x) |
(+ (* -1 (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (/ (exp (* x (+ (log x) (log (/ 1 y))))) x)) |
(fma.f64 (/.f64 (pow.f64 (exp.f64 x) (-.f64 (log.f64 x) (log.f64 y))) (neg.f64 y)) x (/.f64 (pow.f64 (exp.f64 x) (-.f64 (log.f64 x) (log.f64 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))))) |
(fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))) y) #s(literal 1 binary64)) (/.f64 (pow.f64 (exp.f64 x) (-.f64 (log.f64 x) (log.f64 y))) x) (*.f64 (pow.f64 (exp.f64 x) (-.f64 (log.f64 x) (log.f64 y))) (/.f64 (neg.f64 x) y))) |
(+ (* -1 (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (+ (/ (exp (* x (+ (log x) (log (/ 1 y))))) x) (+ (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (+ (* -1/6 (pow x 6)) (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* -2 (pow x 3)) (* 6 (pow x 3))))))))) (* x (pow y 3))) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x (pow y 2)))))) |
(fma.f64 (/.f64 (pow.f64 (exp.f64 x) (-.f64 (log.f64 x) (log.f64 y))) (neg.f64 y)) x (fma.f64 (/.f64 (pow.f64 (exp.f64 x) (-.f64 (log.f64 x) (log.f64 y))) x) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))) y) (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))) x (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/6 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) x) #s(literal -1/2 binary64)))) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (pow.f64 (exp.f64 x) (-.f64 (log.f64 x) (log.f64 y))) x))) |
(* 1/2 (/ (* (pow y 2) (+ 1 (/ 1 x))) x)) |
(*.f64 (*.f64 y (/.f64 (+.f64 (/.f64 y x) y) x)) #s(literal 1/2 binary64)) |
(* (pow y 2) (- (* 1/2 (/ (+ 1 (/ 1 x)) x)) (/ 1 (* x y)))) |
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x) (/.f64 (/.f64 #s(literal 1 binary64) y) x)) (*.f64 y y)) |
(* (pow y 2) (- (+ (* 1/2 (/ (+ 1 (/ 1 x)) x)) (/ 1 (* x (pow y 2)))) (/ 1 (* x y)))) |
(*.f64 (-.f64 (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) y) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x)) (/.f64 (/.f64 #s(literal 1 binary64) y) x)) (*.f64 y y)) |
(* 1/2 (/ (pow y 2) x)) |
(/.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) x) |
(* (pow y 2) (- (* 1/2 (/ 1 x)) (/ 1 (* x y)))) |
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) y) x)) (*.f64 y y)) |
(* (pow y 2) (- (+ (* 1/2 (/ 1 x)) (/ 1 (* x (pow y 2)))) (/ 1 (* x y)))) |
(*.f64 (-.f64 (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) y) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 (/.f64 #s(literal 1 binary64) y) x)) (*.f64 y y)) |
(* 1/2 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 1/2 binary64)) |
(* (pow y 2) (- 1/2 (/ 1 y))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y) |
(* (pow y 2) (- (+ 1/2 (/ 1 (pow y 2))) (/ 1 y))) |
(*.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) y)) (*.f64 y y)) |
(exp (* x (+ (log x) (log (/ 1 y))))) |
(pow.f64 (exp.f64 x) (-.f64 (log.f64 x) (log.f64 y))) |
(+ (exp (* x (+ (log x) (log (/ 1 y))))) (* -1 (/ (* (pow x 2) (exp (* x (+ (log x) (log (/ 1 y)))))) y))) |
(fma.f64 (neg.f64 x) (*.f64 (pow.f64 (exp.f64 x) (-.f64 (log.f64 x) (log.f64 y))) (/.f64 x y)) (pow.f64 (exp.f64 x) (-.f64 (log.f64 x) (log.f64 y)))) |
(+ (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1 (/ (* (pow x 2) (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (pow y 2)))) |
(fma.f64 (/.f64 (pow.f64 (exp.f64 x) (-.f64 (log.f64 x) (log.f64 y))) y) (fma.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))) y) #s(literal 1/2 binary64) (*.f64 (neg.f64 x) x)) (pow.f64 (exp.f64 x) (-.f64 (log.f64 x) (log.f64 y)))) |
(+ (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1 (/ (* (pow x 2) (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (+ (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (+ (* -1/6 (pow x 6)) (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* -2 (pow x 3)) (* 6 (pow x 3))))))))) (pow y 3)) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (pow y 2))))) |
(fma.f64 (pow.f64 (exp.f64 x) (-.f64 (log.f64 x) (log.f64 y))) (-.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))) y) (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))) x (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/6 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) x) #s(literal -1/2 binary64)))) (pow.f64 y #s(literal 3 binary64)))) (*.f64 x (/.f64 x y))) (pow.f64 (exp.f64 x) (-.f64 (log.f64 x) (log.f64 y)))) |
(* -1 y) |
(neg.f64 y) |
(* y (- (/ 1 y) 1)) |
(-.f64 #s(literal 1 binary64) y) |
(/ y x) |
(/.f64 y x) |
(* y (+ (/ 1 x) (/ 1 (* x y)))) |
(+.f64 (/.f64 (/.f64 y x) y) (/.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* y (+ x (/ x y))) |
(*.f64 (+.f64 (/.f64 x y) x) y) |
(* -1 (* (pow x 2) y)) |
(*.f64 (*.f64 (neg.f64 x) y) x) |
(* y (- (/ (pow x 2) y) (pow x 2))) |
(*.f64 (*.f64 x (-.f64 (/.f64 x y) x)) y) |
(* -1 (/ y x)) |
(/.f64 (neg.f64 y) x) |
(* y (- (/ 1 (* x y)) (/ 1 x))) |
(-.f64 (/.f64 (/.f64 y x) y) (/.f64 y x)) |
(* 1/2 y) |
(*.f64 #s(literal 1/2 binary64) y) |
(* y (- 1/2 (/ 1 y))) |
(fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) |
(/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x) |
(/.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) x) (pow.f64 (neg.f64 x) x)) x) |
(+ (* -1 (/ (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x)) |
(fma.f64 (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) x) (pow.f64 (neg.f64 x) x)) (neg.f64 y)) x (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) x) (pow.f64 (neg.f64 x) x)) x)) |
(+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x y))) (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x)) |
(-.f64 (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) x) (pow.f64 (neg.f64 x) x)) x) (/.f64 (*.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) x) (pow.f64 (neg.f64 x) x)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 y x)) x)) y)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3)))))) (+ (* 1/6 (pow x 6)) (* 1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))))) (* x y))) (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) x)) y)) (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x)) |
(-.f64 (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) x) (pow.f64 (neg.f64 x) x)) x) (/.f64 (fma.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) x) (pow.f64 (neg.f64 x) x)) x (/.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) x) (pow.f64 (neg.f64 x) x)) x) (-.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64)) (/.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))) y)) |
(* (pow y 2) (+ (* -1 (/ (- (/ 1 x) (/ 1 (* x y))) y)) (* 1/2 (/ (+ 1 (/ 1 x)) x)))) |
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) y) x)) y)) (*.f64 y y)) |
(* (pow y 2) (+ (* -1 (/ (- (/ 1 x) (/ 1 (* x y))) y)) (* 1/2 (/ 1 x)))) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) y) x)) y)) y) y) |
(* (pow y 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 y)) y)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y)) y) y) |
(exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) x) (pow.f64 (neg.f64 x) x)) |
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))) y))) |
(fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) x) (pow.f64 (neg.f64 x) x) (*.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) x) (pow.f64 (neg.f64 x) x)) (*.f64 x (/.f64 (neg.f64 x) y)))) |
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) y)) (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y))) |
(fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) x) (pow.f64 (neg.f64 x) x) (/.f64 (*.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) x) (pow.f64 (neg.f64 x) x)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))) y) (*.f64 x x))) (neg.f64 y))) |
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3)))))) (+ (* 1/6 (pow x 6)) (* 1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))))) y)) (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4))))) y)) (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y))) |
(fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) x) (pow.f64 (neg.f64 x) x) (/.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) x) (pow.f64 (neg.f64 x) x)) x) x (/.f64 (*.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) x) (pow.f64 (neg.f64 x) x)) (fma.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64) (/.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))) (neg.f64 y)))) (neg.f64 y))) (neg.f64 y))) |
(* -1 (* y (- 1 (/ 1 y)))) |
(-.f64 #s(literal 1 binary64) y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) |
(*.f64 (+.f64 (/.f64 x y) x) y) |
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -1 (pow x 2))))) |
(*.f64 (*.f64 x (-.f64 (/.f64 x y) x)) y) |
(* -1 (* y (- (/ 1 x) (/ 1 (* x y))))) |
(neg.f64 (+.f64 (/.f64 y x) (neg.f64 (/.f64 (/.f64 y x) y)))) |
(* -1 (* y (- (/ 1 y) 1/2))) |
(fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 309 |
| 0 | 62 | 299 |
| 1 | 277 | 265 |
| 2 | 2316 | 265 |
| 0 | 8894 | 257 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x))) |
#s(approx (+ (* (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x)) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) |
(/.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 (fma.f64 y x x) (*.f64 x x)) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (fma.f64 y x x) (*.f64 x x))) |
(fma.f64 y x x) |
(*.f64 x x) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) y) (/ 1 x)) (*.f64 (*.f64 (/.f64 y x) y) (/.f64 #s(literal 1/2 binary64) x)))) |
#s(approx (+ (* (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) y) (/ 1 x)) (*.f64 (*.f64 (/.f64 y x) y) (/.f64 #s(literal 1/2 binary64) x))) |
(*.f64 (*.f64 (/.f64 y x) y) (/.f64 #s(literal 1/2 binary64) x)) |
(*.f64 (/.f64 y x) y) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) y)) (*.f64 x x)) |
(-.f64 (*.f64 x x) (*.f64 (*.f64 x x) y)) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) y)) (*.f64 x x)) x)) |
(/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) y)) (*.f64 x x)) x) |
(fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) |
(*.f64 (*.f64 x x) y) |
| Outputs |
|---|
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x))) |
#s(approx (+ (* (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x)) |
(*.f64 (pow.f64 (/.f64 x (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 x (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x)) |
(pow.f64 (/.f64 (/.f64 x (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 x (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)))) (neg.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal -1 binary64)))) |
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(/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (neg.f64 x))) |
(neg.f64 (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) y)) x)) |
(-.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (*.f64 (*.f64 x x) y) (pow.f64 x #s(literal 3 binary64)))) |
(-.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 y x)) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (-.f64 #s(literal 1 binary64) (*.f64 y #s(literal -1/2 binary64)))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (-.f64 #s(literal 1 binary64) (*.f64 y #s(literal -1/2 binary64)))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 y y)))) (neg.f64 (-.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) y)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (-.f64 #s(literal 1 binary64) (*.f64 y #s(literal -1/2 binary64))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y y)) (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 y y))) (-.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) y))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) #s(literal -1 binary64))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y y)) (*.f64 y #s(literal -1/2 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (-.f64 #s(literal 1 binary64) (*.f64 y #s(literal -1/2 binary64)))))) |
(/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64))) |
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y y)) (*.f64 y #s(literal -1/2 binary64))))) |
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (-.f64 #s(literal 1 binary64) (*.f64 y #s(literal -1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (-.f64 #s(literal 1 binary64) (*.f64 y #s(literal -1/2 binary64)))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (-.f64 #s(literal 1 binary64) (*.f64 y #s(literal -1/2 binary64)))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))))) |
(fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) |
(fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) |
(-.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y y)) (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64))) (pow.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) #s(literal -1 binary64))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64)) |
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) y)) |
(*.f64 (*.f64 y x) x) |
(*.f64 (*.f64 x x) y) |
(*.f64 y (*.f64 x x)) |
(*.f64 x (*.f64 y x)) |
Compiled 20 536 to 2 410 computations (88.3% saved)
25 alts after pruning (18 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 565 | 13 | 578 |
| Fresh | 3 | 5 | 8 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 5 | 5 |
| Total | 571 | 25 | 596 |
| Status | Accuracy | Program |
|---|---|---|
| 41.4% | (/.f64 (pow.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) x) x) | |
| ✓ | 85.6% | (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) |
| 55.8% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) | |
| 42.8% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (/.f64 (/.f64 (*.f64 x (-.f64 x (*.f64 y x))) x) x)) x) | |
| 63.5% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (*.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 y y))) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)))) x) | |
| ✓ | 61.8% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) x) |
| ✓ | 75.7% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) |
| ✓ | 62.5% | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 #s(approx (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) y (/.f64 #s(literal 1 binary64) x))) |
| 62.3% | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 #s(approx (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) #s(approx (/ (+ (* 1/2 y) -1) x) (*.f64 (/.f64 #s(literal 1/2 binary64) x) y))) y (/.f64 #s(literal 1 binary64) x))) | |
| 3.4% | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 #s(approx (- (* x x) (* (* x x) y)) (*.f64 (*.f64 (neg.f64 x) y) x)) (*.f64 x x)) x)) | |
| 9.3% | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 #s(approx (- x (* y x)) (*.f64 (neg.f64 x) y)) x) x)) | |
| 25.5% | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (neg.f64 (*.f64 x (-.f64 x (*.f64 y x)))) (*.f64 x (*.f64 (neg.f64 x) x)))) | |
| 6.3% | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 #s(approx (+ (* y x) x) (*.f64 y x)) (*.f64 x x))) | |
| ✓ | 61.8% | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x))) |
| 44.9% | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (*.f64 (+.f64 #s(literal 1 binary64) y) (/.f64 x (*.f64 x x)))) | |
| ✓ | 4.2% | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.f64 y) x))) |
| 4.2% | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (*.f64 y (/.f64 #s(literal -1 binary64) x)))) | |
| 65.0% | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) #s(literal -1 binary64)))) y #s(literal 1 binary64)) x))) | |
| 37.2% | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) y) (/ 1 x)) (/.f64 (+.f64 x (*.f64 y (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x (*.f64 #s(literal 1/2 binary64) y)))) (*.f64 x x)))) | |
| 7.6% | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) y) (/ 1 x)) (/.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 x x)))) | |
| 7.4% | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) y) (/ 1 x)) (/.f64 #s(approx (+ (* (+ (* 1/2 y) -1) y) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y)) x))) | |
| 7.6% | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) y) (/ 1 x)) (/.f64 #s(approx (+ (* (+ (* 1/2 y) -1) y) 1) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x))) | |
| 65.0% | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) y) (/ 1 x)) (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)))))) | |
| ✓ | 5.7% | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) y) (/ 1 x)) (*.f64 (*.f64 (/.f64 y x) y) (/.f64 #s(literal 1/2 binary64) x)))) |
| 65.0% | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) y) (/ 1 x)) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) x)))) |
Compiled 1 964 to 737 computations (62.5% saved)
| Inputs |
|---|
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.f64 y) x))) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) x) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (*.f64 y (/.f64 #s(literal -1 binary64) x)))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) y) (/ 1 x)) (/.f64 #s(approx (+ (* (+ (* 1/2 y) -1) y) 1) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (*.f64 (-.f64 #s(literal -1 binary64) (neg.f64 y)) (/.f64 #s(literal -1 binary64) x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 #s(approx (+ (* y x) x) (*.f64 y x)) (*.f64 x x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) y) (/ 1 x)) (/.f64 #s(approx (+ (* (+ (* 1/2 y) -1) y) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y)) x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (/.f64 #s(literal -1 binary64) (/.f64 x y)))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (fma.f64 y x x) (*.f64 x x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (*.f64 (+.f64 #s(literal 1 binary64) y) (/.f64 x (*.f64 x x)))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (-.f64 x (*.f64 y x)) (*.f64 x x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) y) (/ 1 x)) (/.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 x x)))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (*.f64 (neg.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x x)))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 #s(approx (- x (* y x)) (*.f64 (neg.f64 x) y)) x) x)) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) y) (/ 1 x)) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) x)))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x)) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) y) (/ 1 x)) (*.f64 (*.f64 y (/.f64 (/.f64 y x) x)) #s(literal 1/2 binary64)))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) y) (/ 1 x)) (*.f64 (*.f64 (/.f64 y x) y) (/.f64 #s(literal 1/2 binary64) x)))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 #s(approx (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) #s(approx (/ (+ (* 1/2 y) -1) x) (*.f64 (/.f64 #s(literal 1/2 binary64) x) y))) y (/.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) y) (/ 1 x)) (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)))))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 #s(approx (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) y (/.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (neg.f64 (*.f64 x (-.f64 x (*.f64 y x)))) (*.f64 x (*.f64 (neg.f64 x) x)))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 #s(approx (- (* x x) (* (* x x) y)) (*.f64 (*.f64 (neg.f64 x) y) x)) (*.f64 x x)) x)) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) y) (/ 1 x)) (/.f64 (+.f64 x (*.f64 y (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x (*.f64 #s(literal 1/2 binary64) y)))) (*.f64 x x)))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (-.f64 (/.f64 x y) x) (*.f64 x (/.f64 x y)))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) y)) (*.f64 x x)) x)) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (/.f64 (/.f64 (*.f64 x (-.f64 x (*.f64 y x))) x) x)) x) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) #s(literal -1 binary64)))) y #s(literal 1 binary64)) x))) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (*.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 y y))) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)))) x) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 (/.f64 y x) y) (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) |
(/.f64 (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:
| 14.0ms | x |
| 13.0ms | (/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) |
| 10.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 3 | x |
| 87.4% | 2 | y |
| 93.9% | 3 | (/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) |
Compiled 13 to 12 computations (7.7% saved)
| Inputs |
|---|
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.f64 y) x))) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) x) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (*.f64 y (/.f64 #s(literal -1 binary64) x)))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) y) (/ 1 x)) (/.f64 #s(approx (+ (* (+ (* 1/2 y) -1) y) 1) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (*.f64 (-.f64 #s(literal -1 binary64) (neg.f64 y)) (/.f64 #s(literal -1 binary64) x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 #s(approx (+ (* y x) x) (*.f64 y x)) (*.f64 x x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) y) (/ 1 x)) (/.f64 #s(approx (+ (* (+ (* 1/2 y) -1) y) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y)) x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (/.f64 #s(literal -1 binary64) (/.f64 x y)))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (fma.f64 y x x) (*.f64 x x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (*.f64 (+.f64 #s(literal 1 binary64) y) (/.f64 x (*.f64 x x)))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (-.f64 x (*.f64 y x)) (*.f64 x x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) y) (/ 1 x)) (/.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 x x)))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (*.f64 (neg.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x x)))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 #s(approx (- x (* y x)) (*.f64 (neg.f64 x) y)) x) x)) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) y) (/ 1 x)) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) x)))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x)) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) y) (/ 1 x)) (*.f64 (*.f64 y (/.f64 (/.f64 y x) x)) #s(literal 1/2 binary64)))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) y) (/ 1 x)) (*.f64 (*.f64 (/.f64 y x) y) (/.f64 #s(literal 1/2 binary64) x)))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 #s(approx (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) #s(approx (/ (+ (* 1/2 y) -1) x) (*.f64 (/.f64 #s(literal 1/2 binary64) x) y))) y (/.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) y) (/ 1 x)) (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)))))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 #s(approx (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) y (/.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (neg.f64 (*.f64 x (-.f64 x (*.f64 y x)))) (*.f64 x (*.f64 (neg.f64 x) x)))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 #s(approx (- (* x x) (* (* x x) y)) (*.f64 (*.f64 (neg.f64 x) y) x)) (*.f64 x x)) x)) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) y) (/ 1 x)) (/.f64 (+.f64 x (*.f64 y (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x (*.f64 #s(literal 1/2 binary64) y)))) (*.f64 x x)))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (-.f64 (/.f64 x y) x) (*.f64 x (/.f64 x y)))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) y)) (*.f64 x x)) x)) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (/.f64 (/.f64 (*.f64 x (-.f64 x (*.f64 y x))) x) x)) x) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) #s(literal -1 binary64)))) y #s(literal 1 binary64)) x))) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (*.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 y y))) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)))) x) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 (/.f64 y x) y) (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) |
| Outputs |
|---|
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) |
3 calls:
| 13.0ms | x |
| 9.0ms | y |
| 9.0ms | (/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 79.6% | 3 | y |
| 75.7% | 1 | (/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) |
| 79.8% | 2 | x |
Compiled 13 to 12 computations (7.7% saved)
| Inputs |
|---|
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.f64 y) x))) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) x) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (*.f64 y (/.f64 #s(literal -1 binary64) x)))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) y) (/ 1 x)) (/.f64 #s(approx (+ (* (+ (* 1/2 y) -1) y) 1) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (*.f64 (-.f64 #s(literal -1 binary64) (neg.f64 y)) (/.f64 #s(literal -1 binary64) x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 #s(approx (+ (* y x) x) (*.f64 y x)) (*.f64 x x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) y) (/ 1 x)) (/.f64 #s(approx (+ (* (+ (* 1/2 y) -1) y) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y)) x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (/.f64 #s(literal -1 binary64) (/.f64 x y)))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (fma.f64 y x x) (*.f64 x x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (*.f64 (+.f64 #s(literal 1 binary64) y) (/.f64 x (*.f64 x x)))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (-.f64 x (*.f64 y x)) (*.f64 x x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) y) (/ 1 x)) (/.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 x x)))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (*.f64 (neg.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x x)))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 #s(approx (- x (* y x)) (*.f64 (neg.f64 x) y)) x) x)) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) y) (/ 1 x)) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) x)))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x)) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) y) (/ 1 x)) (*.f64 (*.f64 y (/.f64 (/.f64 y x) x)) #s(literal 1/2 binary64)))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) y) (/ 1 x)) (*.f64 (*.f64 (/.f64 y x) y) (/.f64 #s(literal 1/2 binary64) x)))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 #s(approx (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) #s(approx (/ (+ (* 1/2 y) -1) x) (*.f64 (/.f64 #s(literal 1/2 binary64) x) y))) y (/.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) y) (/ 1 x)) (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)))))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 #s(approx (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) y (/.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (neg.f64 (*.f64 x (-.f64 x (*.f64 y x)))) (*.f64 x (*.f64 (neg.f64 x) x)))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 #s(approx (- (* x x) (* (* x x) y)) (*.f64 (*.f64 (neg.f64 x) y) x)) (*.f64 x x)) x)) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) y) (/ 1 x)) (/.f64 (+.f64 x (*.f64 y (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x (*.f64 #s(literal 1/2 binary64) y)))) (*.f64 x x)))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (-.f64 (/.f64 x y) x) (*.f64 x (/.f64 x y)))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) y)) (*.f64 x x)) x)) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (/.f64 (/.f64 (*.f64 x (-.f64 x (*.f64 y x))) x) x)) x) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) #s(literal -1 binary64)))) y #s(literal 1 binary64)) x))) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (*.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 y y))) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)))) x) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 (/.f64 y x) y) (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))) |
| Outputs |
|---|
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x)) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) |
1 calls:
| 36.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 79.7% | 2 | x |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.f64 y) x))) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) x) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (*.f64 y (/.f64 #s(literal -1 binary64) x)))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) y) (/ 1 x)) (/.f64 #s(approx (+ (* (+ (* 1/2 y) -1) y) 1) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (*.f64 (-.f64 #s(literal -1 binary64) (neg.f64 y)) (/.f64 #s(literal -1 binary64) x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 #s(approx (+ (* y x) x) (*.f64 y x)) (*.f64 x x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) y) (/ 1 x)) (/.f64 #s(approx (+ (* (+ (* 1/2 y) -1) y) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y)) x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (/.f64 #s(literal -1 binary64) (/.f64 x y)))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (fma.f64 y x x) (*.f64 x x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (*.f64 (+.f64 #s(literal 1 binary64) y) (/.f64 x (*.f64 x x)))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (-.f64 x (*.f64 y x)) (*.f64 x x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) y) (/ 1 x)) (/.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 x x)))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (*.f64 (neg.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x x)))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 #s(approx (- x (* y x)) (*.f64 (neg.f64 x) y)) x) x)) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) y) (/ 1 x)) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) x)))) |
| Outputs |
|---|
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x))) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) |
1 calls:
| 5.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.7% | 2 | x |
Compiled 1 to 2 computations (-100% saved)
Total -46.9b remaining (-301.4%)
Threshold costs -46.9b (-301.4%)
| Inputs |
|---|
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.f64 y) x))) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) x) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (*.f64 y (/.f64 #s(literal -1 binary64) x)))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) y) (/ 1 x)) (/.f64 #s(approx (+ (* (+ (* 1/2 y) -1) y) 1) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (*.f64 (-.f64 #s(literal -1 binary64) (neg.f64 y)) (/.f64 #s(literal -1 binary64) x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 #s(approx (+ (* y x) x) (*.f64 y x)) (*.f64 x x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) y) (/ 1 x)) (/.f64 #s(approx (+ (* (+ (* 1/2 y) -1) y) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y)) x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (/.f64 #s(literal -1 binary64) (/.f64 x y)))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (fma.f64 y x x) (*.f64 x x))) |
| Outputs |
|---|
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) |
2 calls:
| 3.0ms | y |
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 75.7% | 1 | y |
| 75.7% | 1 | x |
Compiled 2 to 4 computations (-100% saved)
| 2× | binary-search |
| 1× | predicate-same |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 21.0ms | 3.733943833078682e-5 | 561236799942.9463 |
| 38.0ms | -19321615.52867581 | -146858.44819114349 |
| 27.0ms | 59× | 0 | invalid |
| 22.0ms | 240× | 0 | valid |
Compiled 419 to 343 computations (18.1% saved)
ival-log: 27.0ms (72.4% of total)ival-div: 4.0ms (10.7% of total)ival-exp: 3.0ms (8% of total)ival-add: 2.0ms (5.4% of total)ival-mult: 2.0ms (5.4% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | -19321615.52867581 | -146858.44819114349 |
Compiled 364 to 265 computations (27.2% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | -19321615.52867581 | -146858.44819114349 |
Compiled 252 to 188 computations (25.4% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | -19321615.52867581 | -146858.44819114349 |
Compiled 392 to 293 computations (25.3% saved)
| 1× | egg-herbie |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 58 | 199 |
| 1 | 87 | 183 |
| 2 | 138 | 183 |
| 3 | 213 | 183 |
| 4 | 372 | 181 |
| 5 | 517 | 181 |
| 6 | 759 | 181 |
| 7 | 1677 | 181 |
| 8 | 6930 | 181 |
| 1× | node limit |
| Inputs |
|---|
(if (<=.f64 x #s(literal -150000 binary64)) (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) (if (<=.f64 x #s(literal 5404319552844595/9007199254740992 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 -150000 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x)) |
(if (<=.f64 x #s(literal -150000 binary64)) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x)) |
(if (<=.f64 x #s(literal -150000 binary64)) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x))) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x)) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) |
| Outputs |
|---|
(if (<=.f64 x #s(literal -150000 binary64)) (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) (if (<=.f64 x #s(literal 5404319552844595/9007199254740992 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 -150000 binary64)) (not (<=.f64 x #s(literal 5404319552844595/9007199254740992 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 -150000 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x)) |
(if (<=.f64 x #s(literal -150000 binary64)) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x)) |
(if (<=.f64 x #s(literal -150000 binary64)) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (/ 1/2 x) (+ (/ y x) y)) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x))) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x)) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 185 |
| 0 | 49 | 173 |
| 1 | 205 | 173 |
| 2 | 1656 | 173 |
| 0 | 8392 | 173 |
| 0 | 554 | 3083 |
| 1 | 1674 | 2569 |
| 2 | 5667 | 2296 |
| 0 | 8425 | 2173 |
| 0 | 571 | 3011 |
| 1 | 1737 | 2566 |
| 2 | 5714 | 2304 |
| 0 | 8255 | 2180 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 245 to 112 computations (54.3% saved)
Compiled 508 to 182 computations (64.2% saved)
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