
Time bar (total: 7.8s)
| 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)
| 1.2s | 3 614× | 1 | valid |
| 570.0ms | 4 642× | 0 | valid |
| 18.0ms | 262× | 0 | invalid |
ival-log: 560.0ms (43.9% of total)ival-div: 290.0ms (22.7% of total)ival-exp: 180.0ms (14.1% of total)ival-mult: 90.0ms (7.1% of total)ival-add: 79.0ms (6.2% of total)adjust: 68.0ms (5.3% of total)ival-true: 7.0ms (0.5% of total)ival-assert: 4.0ms (0.3% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 144 | 38 | (2.4232490208624852e+272 -5.6503608110897515e-297) | 0 | - | (log.f64 (/.f64 x (+.f64 x y))) |
| 44 | 0 | - | 6 | (-8.917557325915549e+222 9.40903233357459e-99) | (*.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 | 162 | 0 |
*.f64 | (*.f64 x (log.f64 (/.f64 x (+.f64 x y)))) | n*u | 38 | 0 |
log.f64 | (log.f64 (/.f64 x (+.f64 x y))) | uflow-rescue | 20 | 0 |
| ↳ | (log.f64 (/.f64 x (+.f64 x y))) | underflow | 38 | |
| ↳ | (/.f64 x (+.f64 x y)) | underflow | 20 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 58 | 0 |
| - | 124 | 74 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 58 | 0 | 0 |
| - | 124 | 0 | 74 |
| number | freq |
|---|---|
| 0 | 74 |
| 1 | 144 |
| 2 | 38 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 56.0ms | 240× | 1 | valid |
| 31.0ms | 72× | 2 | valid |
| 16.0ms | 200× | 0 | valid |
Compiled 147 to 36 computations (75.5% saved)
ival-log: 43.0ms (52.8% of total)ival-div: 13.0ms (16% of total)ival-mult: 7.0ms (8.6% of total)ival-add: 6.0ms (7.4% of total)adjust: 6.0ms (7.4% of total)ival-exp: 6.0ms (7.4% 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 | 69 | 51 |
| 2 | 197 | 49 |
| 3 | 762 | 49 |
| 4 | 2844 | 49 |
| 0 | 8 | 11 |
| 0 | 14 | 11 |
| 1 | 21 | 9 |
| 2 | 38 | 9 |
| 3 | 87 | 9 |
| 4 | 300 | 9 |
| 5 | 2532 | 9 |
| 6 | 6661 | 9 |
| 0 | 8047 | 9 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) |
| Outputs |
|---|
(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) |
(/.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) x) |
Compiled 11 to 8 computations (27.3% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 79.6% | (/.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 | 21 | 40 |
| 2 | 38 | 40 |
| 3 | 87 | 40 |
| 4 | 300 | 40 |
| 5 | 2532 | 40 |
| 6 | 6661 | 40 |
| 0 | 8047 | 40 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) |
(exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) |
(*.f64 x (log.f64 (/.f64 x (+.f64 x y)))) |
x |
(log.f64 (/.f64 x (+.f64 x y))) |
(/.f64 x (+.f64 x y)) |
(+.f64 x y) |
y |
| Outputs |
|---|
(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) |
(/.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) x) |
(exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) |
(pow.f64 (/.f64 x (+.f64 y x)) x) |
(*.f64 x (log.f64 (/.f64 x (+.f64 x y)))) |
(*.f64 (log.f64 (/.f64 x (+.f64 y x))) x) |
x |
(log.f64 (/.f64 x (+.f64 x y))) |
(log.f64 (/.f64 x (+.f64 y x))) |
(/.f64 x (+.f64 x y)) |
(/.f64 x (+.f64 y x)) |
(+.f64 x y) |
(+.f64 y x) |
y |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.00390625 | (/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) | |
| accuracy | 0.0078125 | (/.f64 x (+.f64 x y)) | |
| accuracy | 9.666270005914331 | (*.f64 x (log.f64 (/.f64 x (+.f64 x y)))) | |
| accuracy | 32.420019875640556 | (log.f64 (/.f64 x (+.f64 x y))) |
| 59.0ms | 120× | 1 | valid |
| 16.0ms | 36× | 2 | valid |
| 11.0ms | 100× | 0 | valid |
Compiled 90 to 18 computations (80% saved)
ival-log: 41.0ms (65% of total)ival-div: 7.0ms (11.1% of total)ival-exp: 6.0ms (9.5% of total)ival-add: 3.0ms (4.8% of total)adjust: 3.0ms (4.8% of total)ival-mult: 3.0ms (4.8% 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 | |
|---|---|---|---|---|
| 4.0ms | x | @ | inf | ((exp (* x (log (/ x (+ x y))))) (/ (exp (* x (log (/ x (+ x y))))) x) (* x (log (/ x (+ x y)))) (log (/ x (+ x y))) (/ x (+ x y))) |
| 4.0ms | x | @ | -inf | ((exp (* x (log (/ x (+ x y))))) (/ (exp (* x (log (/ x (+ x y))))) x) (* x (log (/ x (+ x y)))) (log (/ x (+ x y))) (/ x (+ x y))) |
| 4.0ms | y | @ | inf | ((exp (* x (log (/ x (+ x y))))) (/ (exp (* x (log (/ x (+ x y))))) x) (* x (log (/ x (+ x y)))) (log (/ x (+ x y))) (/ x (+ x y))) |
| 3.0ms | y | @ | 0 | ((exp (* x (log (/ x (+ x y))))) (/ (exp (* x (log (/ x (+ x y))))) x) (* x (log (/ x (+ x y)))) (log (/ x (+ x y))) (/ x (+ x y))) |
| 2.0ms | y | @ | -inf | ((exp (* x (log (/ x (+ x y))))) (/ (exp (* x (log (/ x (+ x y))))) x) (* x (log (/ x (+ x y)))) (log (/ x (+ x y))) (/ x (+ x y))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 554 | 3082 |
| 1 | 1980 | 2562 |
| 0 | 8474 | 2439 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (* x (+ (log x) (log (/ 1 y))))) |
(+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y))))))) |
(+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (* x (+ (* -1 (/ (+ (log x) (log (/ 1 y))) y)) (+ (* 1/6 (pow (+ (log x) (log (/ 1 y))) 3)) (* 1/2 (/ 1 (pow y 2))))))) (/ 1 y))))))) |
(/ 1 x) |
(/ (+ 1 (* x (+ (log x) (log (/ 1 y))))) x) |
(/ (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y))))))) x) |
(/ (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (* x (+ (* -1 (/ (+ (log x) (log (/ 1 y))) y)) (+ (* 1/6 (pow (+ (log x) (log (/ 1 y))) 3)) (* 1/2 (/ 1 (pow y 2))))))) (/ 1 y))))))) x) |
(* x (+ (log x) (log (/ 1 y)))) |
(* x (+ (log x) (+ (log (/ 1 y)) (* -1 (/ x y))))) |
(* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (/ x (pow y 2))) (/ 1 y)))))) |
(* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* x (+ (* -1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y)))))) |
(+ (log x) (log (/ 1 y))) |
(+ (log x) (+ (log (/ 1 y)) (* -1 (/ x y)))) |
(+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (/ x (pow y 2))) (/ 1 y))))) |
(+ (log x) (+ (log (/ 1 y)) (* x (- (* x (+ (* -1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))))) |
(/ x y) |
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y))) |
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y))) |
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))) |
(exp (* -1 y)) |
(+ (exp (* -1 y)) (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) |
(+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2)))) |
(+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (+ (/ (* (exp (* -1 y)) (+ (* 1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (+ (* 1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) (pow x 3)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2))))) |
(/ (exp (* -1 y)) x) |
(/ (+ (exp (* -1 y)) (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) x) |
(/ (+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2)))) x) |
(/ (+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (+ (/ (* (exp (* -1 y)) (+ (* 1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (+ (* 1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) (pow x 3)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2))))) x) |
(* -1 y) |
(+ (* -1 y) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) x))) |
(+ (* -1 y) (+ (* 1/6 (/ (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (pow x 2))) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) x)))) |
(+ (* -1 y) (+ (* 1/24 (/ (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4))))) (pow x 3))) (+ (* 1/6 (/ (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (pow x 2))) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) x))))) |
(* -1 (/ y x)) |
(/ (+ (* -1 y) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) x))) x) |
(/ (+ (* -1 y) (+ (* 1/6 (/ (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (pow x 2))) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) x)))) x) |
(/ (+ (* -1 y) (+ (* 1/24 (/ (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4))))) (pow x 3))) (+ (* 1/6 (/ (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (pow x 2))) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) x))))) x) |
(+ 1 (* -1 (/ y x))) |
(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x)) |
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))) |
(+ (exp (* -1 y)) (* -1 (/ (+ (* -1 (/ (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)))) x)) (* -1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))) x))) |
(+ (exp (* -1 y)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* -1 y)) (+ (* -1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) x)) (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2))))) x)) (* -1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))) x))) |
(* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) x)) |
(* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1 (/ (+ (* 1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (/ (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)))) x)) x))) x)) |
(* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2))))) (/ (* (exp (* -1 y)) (+ (* -1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) x)) x)) (* 1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))) x))) x)) |
(+ (* -1 y) (* -1 (/ (+ (* -1/2 (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) (* 1/6 (/ (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) x))) x))) |
(+ (* -1 y) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/24 (/ (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4))))) x))) x)) (* -1/2 (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) x))) |
(* -1 (/ (+ y (* -1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) x))) x)) |
(* -1 (/ (+ y (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) x)) (* 1/2 (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) x))) x)) |
(* -1 (/ (+ y (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4))))) x)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))))) x)) (* 1/2 (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) x))) x)) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x))) |
(+ 1 (* -1 y)) |
(+ 1 (* y (- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1))) |
(+ 1 (* y (- (* y (+ 1/2 (+ (* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) (* 1/2 (/ 1 x))))) 1))) |
(+ (* -1 (/ y x)) (/ 1 x)) |
(+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x)) |
(+ (* y (- (* y (+ (* -1 (/ (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) x)) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))) (/ 1 x))) (/ 1 x)) |
(* y (- (* 1/2 (/ y x)) 1)) |
(* y (- (* y (+ (* -1/3 (/ y (pow x 2))) (* 1/2 (/ 1 x)))) 1)) |
(* y (- (* y (+ (* y (- (* 1/4 (/ y (pow x 3))) (* 1/3 (/ 1 (pow x 2))))) (* 1/2 (/ 1 x)))) 1)) |
(* y (- (* 1/2 (/ y (pow x 2))) (/ 1 x))) |
(* y (- (* y (+ (* -1/3 (/ y (pow x 3))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) |
(* y (- (* y (+ (* y (- (* 1/4 (/ y (pow x 4))) (* 1/3 (/ 1 (pow x 3))))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) |
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x)))) |
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)))) |
(exp (* x (+ (log x) (log (/ 1 y))))) |
(+ (exp (* x (+ (log x) (log (/ 1 y))))) (* -1 (/ (* (pow x 2) (exp (* x (+ (log x) (log (/ 1 y)))))) y))) |
(+ (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1 (/ (* (pow x 2) (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (pow y 2)))) |
(+ (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1 (/ (* (pow x 2) (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (+ (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (+ (* -1/6 (pow x 6)) (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* -2 (pow x 3)) (* 6 (pow x 3))))))))) (pow y 3)) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (pow y 2))))) |
(/ (exp (* x (+ (log x) (log (/ 1 y))))) x) |
(+ (* -1 (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (/ (exp (* x (+ (log x) (log (/ 1 y))))) x)) |
(+ (* -1 (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (+ (/ (exp (* x (+ (log x) (log (/ 1 y))))) x) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x (pow y 2))))) |
(+ (* -1 (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (+ (/ (exp (* x (+ (log x) (log (/ 1 y))))) x) (+ (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (+ (* -1/6 (pow x 6)) (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* -2 (pow x 3)) (* 6 (pow x 3))))))))) (* x (pow y 3))) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x (pow y 2)))))) |
(+ (* -1 (/ (pow x 2) y)) (* x (+ (log x) (log (/ 1 y))))) |
(+ (* -1 (/ (pow x 2) y)) (+ (* 1/2 (/ (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2)))) (pow y 2))) (* x (+ (log x) (log (/ 1 y)))))) |
(+ (* -1 (/ (pow x 2) y)) (+ (* 1/6 (/ (* x (+ (* -6 (pow x 3)) (+ (* -2 (pow x 3)) (* 6 (pow x 3))))) (pow y 3))) (+ (* 1/2 (/ (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2)))) (pow y 2))) (* x (+ (log x) (log (/ 1 y))))))) |
(+ (log x) (+ (log (/ 1 y)) (+ (* -1 (/ x y)) (* 1/2 (/ (+ (* -1 (pow x 2)) (* 2 (pow x 2))) (pow y 2)))))) |
(+ (log x) (+ (log (/ 1 y)) (+ (* -1 (/ x y)) (+ (* 1/6 (/ (+ (* -6 (pow x 3)) (+ (* -2 (pow x 3)) (* 6 (pow x 3)))) (pow y 3))) (* 1/2 (/ (+ (* -1 (pow x 2)) (* 2 (pow x 2))) (pow y 2))))))) |
(/ (+ x (* -1 (/ (pow x 2) y))) y) |
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y) |
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y) |
(exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) |
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))) y))) |
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) y)) (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y))) |
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3)))))) (+ (* 1/6 (pow x 6)) (* 1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))))) y)) (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4))))) y)) (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y))) |
(/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x) |
(+ (* -1 (/ (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x)) |
(+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x y))) (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3)))))) (+ (* 1/6 (pow x 6)) (* 1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))))) (* x y))) (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) x)) y)) (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x)) |
(* x (+ (log (* -1 x)) (log (/ -1 y)))) |
(+ (* -1 (/ (pow x 2) y)) (* x (+ (log (* -1 x)) (log (/ -1 y))))) |
(+ (* -1 (/ (+ (* -1/2 (/ (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2)))) y)) (pow x 2)) y)) (* x (+ (log (* -1 x)) (log (/ -1 y))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3))))) y)) (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))) y)) (pow x 2)) y)) (* x (+ (log (* -1 x)) (log (/ -1 y))))) |
(+ (log (* -1 x)) (log (/ -1 y))) |
(+ (log (* -1 x)) (+ (log (/ -1 y)) (* -1 (/ x y)))) |
(+ (log (* -1 x)) (+ (log (/ -1 y)) (* -1 (/ (+ x (* -1/2 (/ (+ (* -1 (pow x 2)) (* 2 (pow x 2))) y))) y)))) |
(+ (log (* -1 x)) (+ (log (/ -1 y)) (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3)))) y)) (* 1/2 (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) y))) y)))) |
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y)) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (* x (+ (log x) (log (/ 1 y))))) |
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(+ (* -1 (/ (+ (* -1/2 (/ (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2)))) y)) (pow x 2)) y)) (* x (+ (log (* -1 x)) (log (/ -1 y))))) |
(fma.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x))) x (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) #s(literal -1/2 binary64) (*.f64 x x)) (neg.f64 y))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3))))) y)) (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))) y)) (pow x 2)) y)) (* x (+ (log (* -1 x)) (log (/ -1 y))))) |
(fma.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x))) x (/.f64 (fma.f64 x x (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)) x) y) #s(literal -1/6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64))) (neg.f64 y))) (neg.f64 y))) |
(+ (log (* -1 x)) (log (/ -1 y))) |
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x))) |
(+ (log (* -1 x)) (+ (log (/ -1 y)) (* -1 (/ x y)))) |
(-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (-.f64 (/.f64 x y) (log.f64 (neg.f64 x)))) |
(+ (log (* -1 x)) (+ (log (/ -1 y)) (* -1 (/ (+ x (* -1/2 (/ (+ (* -1 (pow x 2)) (* 2 (pow x 2))) y))) y)))) |
(-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (-.f64 (/.f64 (fma.f64 (/.f64 (*.f64 x x) y) #s(literal -1/2 binary64) x) y) (log.f64 (neg.f64 x)))) |
(+ (log (* -1 x)) (+ (log (/ -1 y)) (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3)))) y)) (* 1/2 (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) y))) y)))) |
(-.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x))) (/.f64 (-.f64 x (/.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)) y) #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) y)) y)) |
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y)) |
(/.f64 (-.f64 (/.f64 (*.f64 x x) y) x) (neg.f64 y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (*.f64 x x)) (neg.f64 y)) x) (neg.f64 y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) (neg.f64 y)) (*.f64 x x)) (neg.f64 y)) x) (neg.f64 y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 39 |
| 0 | 14 | 39 |
| 1 | 53 | 35 |
| 2 | 332 | 35 |
| 3 | 3372 | 35 |
| 0 | 8590 | 33 |
| 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 (fabs.f64 (pow.f64 (/.f64 (/.f64 x (+.f64 y x)) (-.f64 y x)) x)) (fabs.f64 (pow.f64 (-.f64 y x) x))) |
(*.f64 (fabs.f64 (pow.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) x)) (fabs.f64 (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) x))) |
(*.f64 (fabs.f64 (+.f64 (pow.f64 (sinh.f64 (*.f64 (neg.f64 x) (log1p.f64 (/.f64 y x)))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (*.f64 (log1p.f64 (/.f64 y x)) x)) #s(literal 3 binary64)))) (fabs.f64 (pow.f64 (-.f64 (cosh.f64 (fma.f64 (log1p.f64 (/.f64 y x)) x (*.f64 (log1p.f64 (/.f64 y x)) x))) (*.f64 (sinh.f64 (*.f64 (neg.f64 x) (log1p.f64 (/.f64 y x)))) (cosh.f64 (*.f64 (log1p.f64 (/.f64 y x)) x)))) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (exp.f64 x) (log.f64 (/.f64 (/.f64 x (+.f64 y x)) (-.f64 y x)))) (pow.f64 (exp.f64 x) (log.f64 (-.f64 y x)))) |
(*.f64 (pow.f64 (exp.f64 x) (log.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) (pow.f64 (exp.f64 x) (log.f64 (fma.f64 (-.f64 y x) y (*.f64 x x))))) |
(*.f64 (neg.f64 (pow.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) #s(literal 1/2 binary64)))) |
(*.f64 (pow.f64 (/.f64 (/.f64 x (+.f64 y x)) (-.f64 y x)) x) (pow.f64 (-.f64 y x) x)) |
(*.f64 (pow.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) x) (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) x)) |
(*.f64 (pow.f64 (exp.f64 x) (log.f64 (neg.f64 x))) (pow.f64 (+.f64 y x) (neg.f64 x))) |
(*.f64 (pow.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) #s(literal 1/2 binary64)) (fabs.f64 (*.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)) (*.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 (+.f64 (pow.f64 (sinh.f64 (*.f64 (neg.f64 x) (log1p.f64 (/.f64 y x)))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (*.f64 (log1p.f64 (/.f64 y x)) x)) #s(literal 3 binary64))) (pow.f64 (-.f64 (cosh.f64 (fma.f64 (log1p.f64 (/.f64 y x)) x (*.f64 (log1p.f64 (/.f64 y x)) x))) (*.f64 (sinh.f64 (*.f64 (neg.f64 x) (log1p.f64 (/.f64 y x)))) (cosh.f64 (*.f64 (log1p.f64 (/.f64 y x)) x)))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (+.f64 y x) (neg.f64 x)) (pow.f64 x x)) |
(*.f64 (pow.f64 x x) (fabs.f64 (*.f64 (pow.f64 (+.f64 y x) (neg.f64 x)) #s(literal 1 binary64)))) |
(*.f64 (pow.f64 x x) (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (neg.f64 (log.f64 (+.f64 y x))) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 x x) (*.f64 (pow.f64 (+.f64 y x) (neg.f64 x)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 x x) (pow.f64 (+.f64 y x) (neg.f64 x))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))) |
(*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (+.f64 y x)) x)) |
(*.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) #s(literal 1 binary64)) |
(pow.f64 (*.f64 (/.f64 (+.f64 y x) x) (/.f64 (+.f64 y x) x)) (*.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 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) (-.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 (pow.f64 (/.f64 (+.f64 y x) x) #s(literal -2 binary64)) x) #s(literal 1/2 binary64)) |
(pow.f64 (neg.f64 (pow.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) #s(literal 1/2 binary64))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (log1p.f64 (/.f64 y x)) #s(literal -2 binary64))) |
(pow.f64 (pow.f64 (/.f64 (+.f64 y x) x) #s(literal -2 binary64)) (*.f64 x #s(literal 1/2 binary64))) |
(pow.f64 (exp.f64 (neg.f64 x)) (log1p.f64 (/.f64 y x))) |
(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) (fma.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))) |
(pow.f64 (/.f64 (+.f64 y x) x) (*.f64 (*.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))) |
(pow.f64 (/.f64 (+.f64 y x) x) (*.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64))))) |
(pow.f64 (/.f64 (+.f64 y x) x) (*.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 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 (log1p.f64 (/.f64 y x)) #s(literal -2 binary64)) #s(literal 2 binary64))) |
(pow.f64 (exp.f64 x) (*.f64 #s(literal 2 binary64) (/.f64 (log1p.f64 (/.f64 y x)) #s(literal -2 binary64)))) |
(pow.f64 (exp.f64 x) (fma.f64 (neg.f64 (log1p.f64 (/.f64 y x))) #s(literal 1/2 binary64) (/.f64 (log1p.f64 (/.f64 y x)) #s(literal -2 binary64)))) |
(pow.f64 (exp.f64 x) (neg.f64 (log1p.f64 (/.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 1/2 binary64)) #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)) (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64)))) |
(pow.f64 (/.f64 x (+.f64 y x)) (fma.f64 x #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))) |
(pow.f64 (/.f64 x (+.f64 y x)) x) |
(/.f64 (exp.f64 (log.f64 (+.f64 (pow.f64 (sinh.f64 (*.f64 (neg.f64 x) (log1p.f64 (/.f64 y x)))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (*.f64 (log1p.f64 (/.f64 y x)) x)) #s(literal 3 binary64))))) (exp.f64 (log.f64 (-.f64 (cosh.f64 (fma.f64 (log1p.f64 (/.f64 y x)) x (*.f64 (log1p.f64 (/.f64 y x)) x))) (*.f64 (sinh.f64 (*.f64 (neg.f64 x) (log1p.f64 (/.f64 y x)))) (cosh.f64 (*.f64 (log1p.f64 (/.f64 y x)) x))))))) |
(/.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64))) (pow.f64 (exp.f64 x) (log.f64 (+.f64 y x)))) |
(/.f64 (pow.f64 (exp.f64 x) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 (+.f64 y x) x)))) (pow.f64 (exp.f64 x) (/.f64 (pow.f64 (log.f64 (+.f64 y x)) #s(literal 2 binary64)) (log.f64 (*.f64 (+.f64 y x) x))))) |
(/.f64 (pow.f64 (exp.f64 x) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (fma.f64 (log.f64 (+.f64 y x)) (log.f64 (*.f64 (+.f64 y x) x)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) (pow.f64 (exp.f64 x) (/.f64 (pow.f64 (log.f64 (+.f64 y x)) #s(literal 3 binary64)) (fma.f64 (log.f64 (+.f64 y x)) (log.f64 (*.f64 (+.f64 y x) x)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))))) |
(/.f64 (pow.f64 (exp.f64 x) (log.f64 #s(literal -1 binary64))) (pow.f64 (/.f64 (+.f64 y x) x) x)) |
(/.f64 (-.f64 (pow.f64 (sinh.f64 (*.f64 (log1p.f64 (/.f64 y x)) x)) #s(literal 2 binary64)) (pow.f64 (cosh.f64 (*.f64 (log1p.f64 (/.f64 y x)) x)) #s(literal 2 binary64))) (-.f64 (sinh.f64 (*.f64 (neg.f64 x) (log1p.f64 (/.f64 y x)))) (cosh.f64 (*.f64 (log1p.f64 (/.f64 y x)) x)))) |
(/.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (neg.f64 x) (log1p.f64 (/.f64 y x)))) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (log1p.f64 (/.f64 y x)) x)))) #s(literal 2 binary64)) |
(/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (log1p.f64 (/.f64 y x)) x)) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (neg.f64 x) (log1p.f64 (/.f64 y x)))))) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (sinh.f64 (*.f64 (neg.f64 x) (log1p.f64 (/.f64 y x)))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (*.f64 (log1p.f64 (/.f64 y x)) x)) #s(literal 3 binary64)))) (neg.f64 (-.f64 (cosh.f64 (fma.f64 (log1p.f64 (/.f64 y x)) x (*.f64 (log1p.f64 (/.f64 y x)) x))) (*.f64 (sinh.f64 (*.f64 (neg.f64 x) (log1p.f64 (/.f64 y x)))) (cosh.f64 (*.f64 (log1p.f64 (/.f64 y x)) x)))))) |
(/.f64 (neg.f64 (pow.f64 x x)) (neg.f64 (pow.f64 (exp.f64 x) (log.f64 (+.f64 y x))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (sinh.f64 (*.f64 (neg.f64 x) (log1p.f64 (/.f64 y x)))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (*.f64 (log1p.f64 (/.f64 y x)) x)) #s(literal 3 binary64))) #s(literal 1 binary64)) (-.f64 (cosh.f64 (fma.f64 (log1p.f64 (/.f64 y x)) x (*.f64 (log1p.f64 (/.f64 y x)) x))) (*.f64 (sinh.f64 (*.f64 (neg.f64 x) (log1p.f64 (/.f64 y x)))) (cosh.f64 (*.f64 (log1p.f64 (/.f64 y x)) x))))) |
(/.f64 (*.f64 (pow.f64 x x) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) (log.f64 (+.f64 y x)))) |
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (neg.f64 x) (log1p.f64 (/.f64 y x))))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (log1p.f64 (/.f64 y x)) x))))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (log1p.f64 (/.f64 y x)) x))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (neg.f64 x) (log1p.f64 (/.f64 y x))))))) #s(literal 4 binary64)) |
(/.f64 (pow.f64 (exp.f64 x) (log.f64 (neg.f64 x))) (pow.f64 (exp.f64 x) (log.f64 (+.f64 y x)))) |
(/.f64 (+.f64 (pow.f64 (sinh.f64 (*.f64 (neg.f64 x) (log1p.f64 (/.f64 y x)))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (*.f64 (log1p.f64 (/.f64 y x)) x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (sinh.f64 (*.f64 (log1p.f64 (/.f64 y x)) x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (cosh.f64 (*.f64 (log1p.f64 (/.f64 y x)) x)) #s(literal 2 binary64)) (*.f64 (sinh.f64 (*.f64 (neg.f64 x) (log1p.f64 (/.f64 y x)))) (cosh.f64 (*.f64 (log1p.f64 (/.f64 y x)) x)))))) |
(/.f64 (+.f64 (pow.f64 (sinh.f64 (*.f64 (neg.f64 x) (log1p.f64 (/.f64 y x)))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (*.f64 (log1p.f64 (/.f64 y x)) x)) #s(literal 3 binary64))) (-.f64 (cosh.f64 (fma.f64 (log1p.f64 (/.f64 y x)) x (*.f64 (log1p.f64 (/.f64 y x)) x))) (*.f64 (sinh.f64 (*.f64 (neg.f64 x) (log1p.f64 (/.f64 y x)))) (cosh.f64 (*.f64 (log1p.f64 (/.f64 y x)) x))))) |
(/.f64 (pow.f64 x x) (pow.f64 (exp.f64 x) (log.f64 (+.f64 y x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (/.f64 (+.f64 y x) x) x))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (log1p.f64 (/.f64 y 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))) |
(fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (log1p.f64 (/.f64 y x)) x))) #s(literal 1/2 binary64) (sinh.f64 (*.f64 (neg.f64 x) (log1p.f64 (/.f64 y x))))) |
(fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (neg.f64 x) (log1p.f64 (/.f64 y x))))) #s(literal 1/2 binary64) (cosh.f64 (*.f64 (log1p.f64 (/.f64 y x)) x))) |
(-.f64 (/.f64 (pow.f64 (cosh.f64 (*.f64 (log1p.f64 (/.f64 y x)) x)) #s(literal 2 binary64)) (pow.f64 (/.f64 (+.f64 y x) x) x)) (/.f64 (pow.f64 (sinh.f64 (*.f64 (log1p.f64 (/.f64 y x)) x)) #s(literal 2 binary64)) (pow.f64 (/.f64 (+.f64 y x) x) x))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))) |
(-.f64 (cosh.f64 (*.f64 (log1p.f64 (/.f64 y x)) x)) (sinh.f64 (*.f64 (log1p.f64 (/.f64 y x)) x))) |
(fabs.f64 (-.f64 (/.f64 (pow.f64 (sinh.f64 (*.f64 (log1p.f64 (/.f64 y x)) x)) #s(literal 2 binary64)) (pow.f64 (/.f64 (+.f64 y x) x) x)) (/.f64 (pow.f64 (cosh.f64 (*.f64 (log1p.f64 (/.f64 y x)) x)) #s(literal 2 binary64)) (pow.f64 (/.f64 (+.f64 y x) x) x)))) |
(fabs.f64 (-.f64 (neg.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)) #s(literal 0 binary64))) |
(fabs.f64 (neg.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))) |
(fabs.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)) |
(exp.f64 (*.f64 (*.f64 (log1p.f64 (/.f64 y x)) x) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 (log1p.f64 (/.f64 y x)) #s(literal -2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (+.f64 y x) x) #s(literal -2 binary64))) (*.f64 x #s(literal 1/2 binary64)))) |
(exp.f64 (*.f64 (*.f64 (/.f64 (log1p.f64 (/.f64 y x)) #s(literal -2 binary64)) x) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log1p.f64 (/.f64 y x)) (neg.f64 x))) |
(exp.f64 (*.f64 x (*.f64 #s(literal 2 binary64) (/.f64 (log1p.f64 (/.f64 y x)) #s(literal -2 binary64))))) |
(exp.f64 (*.f64 x (fma.f64 (neg.f64 (log1p.f64 (/.f64 y x))) #s(literal 1/2 binary64) (/.f64 (log1p.f64 (/.f64 y x)) #s(literal -2 binary64))))) |
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (/.f64 y x))) (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64))))) |
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (/.f64 y x))) (fma.f64 x #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))) |
(exp.f64 (*.f64 (neg.f64 x) (log1p.f64 (/.f64 y x)))) |
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(+.f64 (log.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (log.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)))) |
(+.f64 (neg.f64 (log.f64 (*.f64 (-.f64 y x) (+.f64 y x)))) (log.f64 (*.f64 (-.f64 y x) x))) |
(+.f64 (neg.f64 (log.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (log.f64 (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) x))) |
(+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log1p.f64 (/.f64 y x)))) |
(+.f64 (neg.f64 (log.f64 (+.f64 y x))) (log.f64 (neg.f64 x))) |
(+.f64 (neg.f64 (log.f64 (+.f64 y x))) (log.f64 x)) |
(+.f64 (log.f64 (-.f64 y x)) (log.f64 (/.f64 (/.f64 x (+.f64 y x)) (-.f64 y x)))) |
(+.f64 (log.f64 (fma.f64 (-.f64 y x) y (*.f64 x x))) (log.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) |
(+.f64 (log.f64 (neg.f64 x)) (neg.f64 (log.f64 (+.f64 y x)))) |
(+.f64 #s(literal 0 binary64) (neg.f64 (log1p.f64 (/.f64 y x)))) |
(+.f64 (log.f64 x) (neg.f64 (log.f64 (+.f64 y x)))) |
(+.f64 (neg.f64 (log1p.f64 (/.f64 y x))) #s(literal 0 binary64)) |
(log.f64 (/.f64 x (+.f64 y x))) |
(*.f64 (exp.f64 (log.f64 (/.f64 (/.f64 x (+.f64 y x)) (-.f64 y x)))) (exp.f64 (log.f64 (-.f64 y x)))) |
(*.f64 (exp.f64 (log.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) (exp.f64 (log.f64 (fma.f64 (-.f64 y x) y (*.f64 x x))))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (+.f64 y x)) (-.f64 y x))) (-.f64 y x)) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (fma.f64 (-.f64 y x) y (*.f64 x x))) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (pow.f64 (+.f64 y x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (+.f64 y x) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (+.f64 y x) x) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (neg.f64 x) #s(literal 1 binary64)) (pow.f64 (+.f64 y x) #s(literal -1 binary64))) |
(*.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 y x)) #s(literal -1 binary64)) (*.f64 (-.f64 y x) x)) |
(*.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 (-.f64 y x) y (*.f64 x x)) #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 (fma.f64 (-.f64 y x) y (*.f64 x x)) x)) |
(*.f64 (/.f64 (/.f64 x (+.f64 y x)) (-.f64 y x)) (-.f64 y x)) |
(*.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)))) |
(*.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (-.f64 y x) y (*.f64 x x))) |
(*.f64 #s(literal -1 binary64) (/.f64 x (+.f64 y x))) |
(*.f64 (-.f64 y x) (/.f64 (/.f64 x (+.f64 y x)) (-.f64 y x))) |
(*.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (neg.f64 x)) |
(*.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) x) |
(*.f64 #s(literal 1 binary64) (/.f64 x (+.f64 y x))) |
(*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
(*.f64 (neg.f64 x) (pow.f64 (+.f64 y x) #s(literal -1 binary64))) |
(*.f64 (/.f64 x (+.f64 y x)) #s(literal 1 binary64)) |
(*.f64 x (pow.f64 (+.f64 y x) #s(literal -1 binary64))) |
(pow.f64 (exp.f64 (-.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 (exp.f64 (-.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 (exp.f64 #s(literal -1 binary64)) (log1p.f64 (/.f64 y x))) |
(pow.f64 (*.f64 (/.f64 (+.f64 y x) x) (/.f64 (+.f64 y x) x)) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (/.f64 (+.f64 y x) x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 (+.f64 y x) x) #s(literal -1 binary64)) |
(pow.f64 (/.f64 x (+.f64 y x)) #s(literal 1 binary64)) |
(/.f64 (exp.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 (+.f64 y x) x)))) (exp.f64 (/.f64 (pow.f64 (log.f64 (+.f64 y x)) #s(literal 2 binary64)) (log.f64 (*.f64 (+.f64 y x) x))))) |
(/.f64 (exp.f64 (/.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))))) (exp.f64 (/.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 (exp.f64 (log.f64 #s(literal -1 binary64))) (/.f64 (+.f64 y x) x)) |
(/.f64 (/.f64 x #s(literal -1 binary64)) (+.f64 y x)) |
(/.f64 (*.f64 (/.f64 (/.f64 x (+.f64 y x)) (-.f64 y 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 (*.f64 (/.f64 (/.f64 x (+.f64 y x)) (-.f64 y x)) (*.f64 (-.f64 y x) (+.f64 y x))) (+.f64 y x)) |
(/.f64 (*.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 y x) y) #s(literal 2 binary64)))) (-.f64 (*.f64 x x) (*.f64 (-.f64 y x) y))) |
(/.f64 (*.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 (-.f64 y x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 y x) y) (-.f64 (*.f64 (-.f64 y x) y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) |
(/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (+.f64 y x)) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (+.f64 y x)) |
(/.f64 (*.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (*.f64 (-.f64 y x) (+.f64 y x)) (fma.f64 y (+.f64 y x) (*.f64 x x)))) |
(/.f64 (*.f64 x (*.f64 (-.f64 y x) (+.f64 y x))) (*.f64 (*.f64 (-.f64 y x) (+.f64 y x)) (+.f64 y x))) |
(/.f64 (*.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 y x) y) #s(literal 2 binary64)))) (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (*.f64 x x) (*.f64 (-.f64 y x) y)))) |
(/.f64 (*.f64 x (+.f64 (pow.f64 (*.f64 (-.f64 y x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 (-.f64 y x) y) (-.f64 (*.f64 (-.f64 y x) y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))) |
(/.f64 (*.f64 (-.f64 y x) x) (*.f64 (-.f64 y x) (+.f64 y x))) |
(/.f64 (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) x) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
(/.f64 (/.f64 (/.f64 x (+.f64 y x)) (-.f64 y x)) (pow.f64 (-.f64 y x) #s(literal -1 binary64))) |
(/.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal -1 binary64))) |
(/.f64 #s(literal -1 binary64) (/.f64 (+.f64 y x) x)) |
(/.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) x)) |
(/.f64 (neg.f64 x) (+.f64 y x)) |
(/.f64 (/.f64 x (+.f64 y x)) #s(literal 1 binary64)) |
(/.f64 x (+.f64 y x)) |
(neg.f64 (/.f64 x (+.f64 y x))) |
(fma.f64 (/.f64 (/.f64 x (+.f64 y x)) (-.f64 y x)) x (*.f64 (/.f64 (/.f64 x (+.f64 y x)) (-.f64 y x)) (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 y x)) (*.f64 (neg.f64 y) (/.f64 (/.f64 x (+.f64 y x)) (-.f64 y x)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 y x)) (/.f64 x (+.f64 y x))) |
(-.f64 (cosh.f64 (log1p.f64 (/.f64 y x))) (sinh.f64 (log1p.f64 (/.f64 y x)))) |
(-.f64 #s(literal 0 binary64) (/.f64 x (+.f64 y x))) |
(fabs.f64 (/.f64 x (+.f64 y x))) |
(exp.f64 (neg.f64 (log1p.f64 (/.f64 y x)))) |
(+.f64 (*.f64 x (/.f64 (/.f64 x (+.f64 y x)) (-.f64 y x))) (*.f64 (neg.f64 y) (/.f64 (/.f64 x (+.f64 y x)) (-.f64 y x)))) |
(+.f64 (*.f64 (*.f64 (-.f64 y x) y) (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (*.f64 x x) (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) |
(+.f64 (*.f64 (*.f64 x x) (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (*.f64 (-.f64 y x) y) (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) |
(+.f64 (*.f64 (/.f64 (/.f64 x (+.f64 y x)) (-.f64 y x)) x) (*.f64 (/.f64 (/.f64 x (+.f64 y x)) (-.f64 y x)) (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))) |
(+.f64 (cosh.f64 (log1p.f64 (/.f64 y x))) (sinh.f64 (neg.f64 (log1p.f64 (/.f64 y x))))) |
(log.f64 (pow.f64 (exp.f64 x) (pow.f64 (+.f64 y x) #s(literal -1 binary64)))) |
Compiled 11 754 to 2 143 computations (81.8% saved)
8 alts after pruning (8 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 467 | 8 | 475 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 468 | 8 | 476 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 79.6% | (/.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) x) |
| ▶ | 84.5% | (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) |
| ▶ | 54.3% | (/.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 -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) |
| ▶ | 59.8% | (/.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) |
| 60.5% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) x) | |
| ▶ | 76.0% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) |
| 52.2% | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) #s(literal 1/2 binary64)) x) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))) | |
| 49.9% | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal -1/2 binary64) x)) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))) |
Compiled 374 to 258 computations (31% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f64 y x) | |
| cost-diff | 0 | (/.f64 x (+.f64 y x)) | |
| cost-diff | 0 | (pow.f64 (/.f64 x (+.f64 y x)) x) | |
| cost-diff | 0 | (/.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) x) | |
| cost-diff | 0 | #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) | |
| cost-diff | 0 | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) | |
| cost-diff | 320 | (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) | |
| cost-diff | 640 | (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) | |
| cost-diff | 0 | (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y #s(literal -1 binary64)) | |
| cost-diff | 0 | (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)) | |
| cost-diff | 0 | #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))) | |
| cost-diff | 0 | (/.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) | |
| 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 | 39 | 354 |
| 0 | 66 | 354 |
| 1 | 108 | 330 |
| 2 | 267 | 330 |
| 3 | 1096 | 330 |
| 4 | 4890 | 330 |
| 0 | 8169 | 320 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) |
(exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) |
#s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)) |
(neg.f64 y) |
y |
x |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
x |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (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))))) (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))) |
(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)) |
(fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y #s(literal -1 binary64)) |
(+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
y |
#s(literal -1 binary64) |
#s(literal 1 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 -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) |
(fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) |
(-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) |
(-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) |
#s(literal 1/6 binary64) |
(/.f64 #s(literal -1/3 binary64) (*.f64 x x)) |
#s(literal -1/3 binary64) |
(*.f64 x x) |
x |
(/.f64 #s(literal -1/2 binary64) x) |
#s(literal -1/2 binary64) |
(neg.f64 y) |
y |
(+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
#s(literal -1 binary64) |
#s(literal 1 binary64) |
(/.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) x) |
(pow.f64 (/.f64 x (+.f64 y x)) x) |
(/.f64 x (+.f64 y x)) |
x |
(+.f64 y x) |
y |
| Outputs |
|---|
(/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) |
(exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) |
#s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)) |
(neg.f64 y) |
y |
x |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
x |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (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) |
(/.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))))) (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))) |
#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))) |
(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)) |
(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)) |
(fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y #s(literal -1 binary64)) |
(fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) y #s(literal -1 binary64)) |
(+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) |
(-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) |
(/.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
y |
#s(literal -1 binary64) |
#s(literal 1 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 -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 (-.f64 (fma.f64 #s(literal -1/6 binary64) y (/.f64 (fma.f64 y (-.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) x)) #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) |
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 (-.f64 (fma.f64 #s(literal -1/6 binary64) y (/.f64 (fma.f64 y (-.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) x)) #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (-.f64 (fma.f64 #s(literal -1/6 binary64) y (/.f64 (fma.f64 y (-.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) x)) #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) |
(fma.f64 (-.f64 (fma.f64 #s(literal -1/6 binary64) y (/.f64 (fma.f64 y (-.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) x)) #s(literal -1/2 binary64)) y #s(literal -1 binary64)) |
(fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) |
(-.f64 (fma.f64 #s(literal -1/6 binary64) y (/.f64 (fma.f64 y (-.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) x)) #s(literal -1/2 binary64)) |
(-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) |
(-.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 1/2 binary64)) x)) |
(-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) |
#s(literal 1/6 binary64) |
(/.f64 #s(literal -1/3 binary64) (*.f64 x x)) |
#s(literal -1/3 binary64) |
(*.f64 x x) |
x |
(/.f64 #s(literal -1/2 binary64) x) |
#s(literal -1/2 binary64) |
(neg.f64 y) |
y |
(+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) |
(-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) |
(/.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
#s(literal -1 binary64) |
#s(literal 1 binary64) |
(/.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) x) |
(pow.f64 (/.f64 x (+.f64 y x)) x) |
(/.f64 x (+.f64 y x)) |
x |
(+.f64 y x) |
y |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (+.f64 y x) | |
| accuracy | 0.00390625 | (/.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) x) | |
| accuracy | 0.0078125 | (/.f64 x (+.f64 y x)) | |
| accuracy | 13.362140802705019 | (pow.f64 (/.f64 x (+.f64 y x)) x) | |
| accuracy | 0.7247490993580203 | (fma.f64 (fma.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64)) | |
| accuracy | 1.90435435709421 | (fma.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) | |
| accuracy | 3.9500257827699445 | (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) | |
| accuracy | 25.367813778440023 | #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) | |
| accuracy | 0.00390625 | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (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) | |
| accuracy | 0.01953125 | (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)) | |
| accuracy | 0.06640625 | (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y #s(literal -1 binary64)) | |
| accuracy | 25.779469805846652 | #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))) | |
| accuracy | 0.00390625 | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) | |
| accuracy | 15.642031828424152 | #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) | |
| accuracy | 0 | (neg.f64 y) | |
| accuracy | 0 | (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) | |
| accuracy | 0.00390625 | (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) | |
| accuracy | 22.869582512292684 | #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)) |
| 162.0ms | 120× | 1 | valid |
| 88.0ms | 36× | 2 | valid |
| 31.0ms | 100× | 0 | valid |
Compiled 630 to 77 computations (87.8% saved)
ival-pow: 56.0ms (22.9% of total)ival-log: 56.0ms (22.9% of total)ival-mult: 52.0ms (21.2% of total)ival-div: 32.0ms (13.1% of total)ival-add: 15.0ms (6.1% of total)adjust: 13.0ms (5.3% of total)const: 12.0ms (4.9% of total)ival-exp: 4.0ms (1.6% of total)ival-sub: 4.0ms (1.6% of total)ival-neg: 1.0ms (0.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) |
(exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) |
#s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)) |
(neg.f64 y) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (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))))) (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))) |
(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)) |
(fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y #s(literal -1 binary64)) |
(fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) |
(-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) |
(/.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) x) |
(pow.f64 (/.f64 x (+.f64 y x)) x) |
(/.f64 x (+.f64 y x)) |
(+.f64 y x) |
(fma.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) |
(fma.f64 (fma.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64)) |
| Outputs |
|---|
(/ 1 x) |
(/ (+ 1 (* x (+ (log x) (log (/ 1 y))))) x) |
(/ (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y))))))) x) |
(/ (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (* x (+ (* -1 (/ (+ (log x) (log (/ 1 y))) y)) (+ (* 1/6 (pow (+ (log x) (log (/ 1 y))) 3)) (* 1/2 (/ 1 (pow y 2))))))) (/ 1 y))))))) x) |
1 |
(+ 1 (* x (+ (log x) (log (/ 1 y))))) |
(+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y))))))) |
(+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (* x (+ (* -1 (/ (+ (log x) (log (/ 1 y))) y)) (+ (* 1/6 (pow (+ (log x) (log (/ 1 y))) 3)) (* 1/2 (/ 1 (pow y 2))))))) (/ 1 y))))))) |
(* x (+ (log x) (log (/ 1 y)))) |
(* x (+ (log x) (+ (log (/ 1 y)) (* -1 (/ x y))))) |
(* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (/ x (pow y 2))) (/ 1 y)))))) |
(* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* x (+ (* -1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y)))))) |
(* 1/2 (/ (pow y 2) x)) |
(/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) x) |
(* 1/2 (/ y x)) |
(/ (+ (* 1/2 y) (* x (- (* 1/2 y) 1))) x) |
(* -1/3 (/ y (pow x 2))) |
(/ (+ (* -1/3 y) (* x (+ 1/2 (* -1/2 y)))) (pow x 2)) |
(/ (+ (* -1/3 y) (* x (+ 1/2 (+ (* -1/2 y) (* x (+ 1/2 (* -1/6 y))))))) (pow x 2)) |
(/ 1/3 (pow x 2)) |
(/ (+ 1/3 (* 1/2 x)) (pow x 2)) |
(/ (+ 1/3 (* x (+ 1/2 (* 1/6 x)))) (pow x 2)) |
(/ x y) |
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y))) |
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y))) |
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))) |
y |
(+ x y) |
(* -1/3 (/ (pow y 2) (pow x 2))) |
(/ (+ (* -1/3 (pow y 2)) (* x (* y (+ 1/2 (* -1/2 y))))) (pow x 2)) |
(/ (+ (* -1/3 (pow y 2)) (* x (+ (* x (- (* y (+ 1/2 (* -1/6 y))) 1)) (* y (+ 1/2 (* -1/2 y)))))) (pow x 2)) |
(* -1/3 (/ (pow y 3) (pow x 2))) |
(/ (+ (* -1/3 (pow y 3)) (* x (* (pow y 2) (+ 1/2 (* -1/2 y))))) (pow x 2)) |
(/ (+ (* -1/3 (pow y 3)) (* x (+ (* x (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1)))) (* (pow y 2) (+ 1/2 (* -1/2 y)))))) (pow x 2)) |
(/ (exp (* -1 y)) x) |
(/ (+ (exp (* -1 y)) (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) x) |
(/ (+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2)))) x) |
(/ (+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (+ (/ (* (exp (* -1 y)) (+ (* 1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (+ (* 1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) (pow x 3)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2))))) x) |
(exp (* -1 y)) |
(+ (exp (* -1 y)) (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) |
(+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2)))) |
(+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (+ (/ (* (exp (* -1 y)) (+ (* 1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (+ (* 1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) (pow x 3)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2))))) |
(* -1 y) |
(+ (* -1 y) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) x))) |
(+ (* -1 y) (+ (* 1/6 (/ (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (pow x 2))) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) x)))) |
(+ (* -1 y) (+ (* 1/24 (/ (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4))))) (pow x 3))) (+ (* 1/6 (/ (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (pow x 2))) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) x))))) |
(+ 1 (* y (- (* 1/2 y) 1))) |
(+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1)))) |
(- (* 1/2 y) 1) |
(- (+ (* 1/2 y) (* 1/2 (/ y x))) 1) |
(+ 1/2 (* -1/6 y)) |
(+ 1/2 (+ (* -1/2 (/ y x)) (+ (* -1/6 y) (* 1/2 (/ 1 x))))) |
(+ 1/2 (+ (* -1/2 (/ y x)) (+ (* -1/3 (/ y (pow x 2))) (+ (* -1/6 y) (* 1/2 (/ 1 x)))))) |
1/6 |
(+ 1/6 (* 1/2 (/ 1 x))) |
(+ 1/6 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 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 (+ 1/2 (* -1/6 y))) 1) |
(- (+ (* y (+ 1/2 (* -1/6 y))) (/ (* y (+ 1/2 (* -1/2 y))) x)) 1) |
(- (+ (* -1/3 (/ (pow y 2) (pow x 2))) (+ (* y (+ 1/2 (* -1/6 y))) (/ (* y (+ 1/2 (* -1/2 y))) x))) 1) |
(+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) |
(+ 1 (+ (* y (- (* y (+ 1/2 (* -1/6 y))) 1)) (/ (* (pow y 2) (+ 1/2 (* -1/2 y))) x))) |
(+ 1 (+ (* -1/3 (/ (pow y 3) (pow x 2))) (+ (* y (- (* y (+ 1/2 (* -1/6 y))) 1)) (/ (* (pow y 2) (+ 1/2 (* -1/2 y))) x)))) |
(* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) x)) |
(* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1 (/ (+ (* 1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (/ (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)))) x)) x))) x)) |
(* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2))))) (/ (* (exp (* -1 y)) (+ (* -1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) x)) x)) (* 1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))) x))) x)) |
(+ (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))) |
(+ 1/2 (+ (* -1 (/ (- (* 1/2 y) 1/2) x)) (* -1/6 y))) |
(+ 1/2 (+ (* -1 (/ (- (+ (* 1/3 (/ y x)) (* 1/2 y)) 1/2) x)) (* -1/6 y))) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(- (+ (* -1 (/ (* y (- (* 1/2 y) 1/2)) x)) (* y (+ 1/2 (* -1/6 y)))) 1) |
(- (+ (* -1 (/ (+ (* 1/3 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1/2))) x)) (* y (+ 1/2 (* -1/6 y)))) 1) |
(+ 1 (+ (* -1 (/ (* (pow y 2) (- (* 1/2 y) 1/2)) x)) (* y (- (* y (+ 1/2 (* -1/6 y))) 1)))) |
(+ 1 (+ (* -1 (/ (+ (* 1/3 (/ (pow y 3) x)) (* (pow y 2) (- (* 1/2 y) 1/2))) x)) (* y (- (* y (+ 1/2 (* -1/6 y))) 1)))) |
(+ (* -1 (/ y x)) (/ 1 x)) |
(+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x)) |
(+ (* y (- (* y (+ (* -1 (/ (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) x)) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))) (/ 1 x))) (/ 1 x)) |
(+ 1 (* -1 y)) |
(+ 1 (* y (- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1))) |
(+ 1 (* y (- (* y (+ 1/2 (+ (* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) (* 1/2 (/ 1 x))))) 1))) |
(* y (- (* 1/2 (/ y x)) 1)) |
(* y (- (* y (+ (* -1/3 (/ y (pow x 2))) (* 1/2 (/ 1 x)))) 1)) |
(* y (- (* y (+ (* y (- (* 1/4 (/ y (pow x 3))) (* 1/3 (/ 1 (pow x 2))))) (* 1/2 (/ 1 x)))) 1)) |
-1 |
(- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1) |
(+ 1/2 (* 1/2 (/ 1 x))) |
(+ 1/2 (+ (* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) (* 1/2 (/ 1 x)))) |
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x)))) |
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)))) |
(- (* y (+ 1/2 (+ (* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) (* 1/2 (/ 1 x))))) 1) |
(/ (exp (* x (+ (log x) (log (/ 1 y))))) x) |
(+ (* -1 (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (/ (exp (* x (+ (log x) (log (/ 1 y))))) x)) |
(+ (* -1 (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (+ (/ (exp (* x (+ (log x) (log (/ 1 y))))) x) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x (pow y 2))))) |
(+ (* -1 (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (+ (/ (exp (* x (+ (log x) (log (/ 1 y))))) x) (+ (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (+ (* -1/6 (pow x 6)) (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* -2 (pow x 3)) (* 6 (pow x 3))))))))) (* x (pow y 3))) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x (pow y 2)))))) |
(exp (* x (+ (log x) (log (/ 1 y))))) |
(+ (exp (* x (+ (log x) (log (/ 1 y))))) (* -1 (/ (* (pow x 2) (exp (* x (+ (log x) (log (/ 1 y)))))) y))) |
(+ (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1 (/ (* (pow x 2) (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (pow y 2)))) |
(+ (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1 (/ (* (pow x 2) (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (+ (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (+ (* -1/6 (pow x 6)) (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* -2 (pow x 3)) (* 6 (pow x 3))))))))) (pow y 3)) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (pow y 2))))) |
(+ (* -1 (/ (pow x 2) y)) (* x (+ (log x) (log (/ 1 y))))) |
(+ (* -1 (/ (pow x 2) y)) (+ (* 1/2 (/ (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2)))) (pow y 2))) (* x (+ (log x) (log (/ 1 y)))))) |
(+ (* -1 (/ (pow x 2) y)) (+ (* 1/6 (/ (* x (+ (* -6 (pow x 3)) (+ (* -2 (pow x 3)) (* 6 (pow x 3))))) (pow y 3))) (+ (* 1/2 (/ (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2)))) (pow y 2))) (* x (+ (log x) (log (/ 1 y))))))) |
(* (pow y 2) (+ 1/2 (* 1/2 (/ 1 x)))) |
(* (pow y 2) (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1 y))) |
(* (pow y 2) (- (+ 1/2 (+ (* 1/2 (/ 1 x)) (/ 1 (pow y 2)))) (/ 1 y))) |
(* y (+ 1/2 (* 1/2 (/ 1 x)))) |
(* y (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1 y))) |
(* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) |
(* y (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (+ (/ 1/2 (* x y)) (* 1/2 (/ 1 y))))) |
(/ (+ x (* -1 (/ (pow x 2) y))) y) |
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y) |
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y) |
(* y (+ 1 (/ x y))) |
(* -1 (* (pow y 2) (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) |
(* (pow y 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (+ (/ 1/2 (* x y)) (* 1/2 (/ 1 y))))) |
(* (pow y 2) (- (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (+ (/ 1/2 (* x y)) (* 1/2 (/ 1 y)))) (/ 1 (pow y 2)))) |
(* -1 (* (pow y 3) (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) |
(* (pow y 3) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (+ (/ 1/2 (* x y)) (* 1/2 (/ 1 y))))) |
(* (pow y 3) (- (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (+ (/ 1/2 (* x y)) (* 1/2 (/ 1 y)))) (/ 1 (pow y 2)))) |
(* (pow y 3) (- (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (+ (/ 1/2 (* x y)) (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 3))))) (/ 1 (pow y 2)))) |
(/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x) |
(+ (* -1 (/ (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x)) |
(+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x y))) (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3)))))) (+ (* 1/6 (pow x 6)) (* 1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))))) (* x y))) (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) x)) y)) (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x)) |
(exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) |
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))) y))) |
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) y)) (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y))) |
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3)))))) (+ (* 1/6 (pow x 6)) (* 1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))))) y)) (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4))))) y)) (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y))) |
(* x (+ (log (* -1 x)) (log (/ -1 y)))) |
(+ (* -1 (/ (pow x 2) y)) (* x (+ (log (* -1 x)) (log (/ -1 y))))) |
(+ (* -1 (/ (+ (* -1/2 (/ (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2)))) y)) (pow x 2)) y)) (* x (+ (log (* -1 x)) (log (/ -1 y))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3))))) y)) (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))) y)) (pow x 2)) y)) (* x (+ (log (* -1 x)) (log (/ -1 y))))) |
(* (pow y 2) (+ 1/2 (+ (* -1 (/ (- 1 (/ 1 y)) y)) (* 1/2 (/ 1 x))))) |
(* -1 (* y (+ (* -1 (+ 1/2 (* 1/2 (/ 1 x)))) (/ 1 y)))) |
(* -1 (* y (+ 1/6 (+ (* -1 (/ (+ 1/2 (* 1/2 (/ 1 x))) y)) (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 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))) |
(* (pow y 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (* -1 (/ (+ (* -1 (+ 1/2 (* 1/2 (/ 1 x)))) (/ 1 y)) y)))) |
(* -1 (* (pow y 3) (+ 1/6 (+ (* -1 (/ (+ 1/2 (* 1/2 (/ 1 x))) y)) (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))) |
(* -1 (* (pow y 3) (+ 1/6 (+ (* -1 (/ (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1 y)) y)) (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))) |
(* -1 (* (pow y 3) (+ 1/6 (+ (* -1 (/ (+ 1/2 (+ (* -1 (/ (- 1 (/ 1 y)) y)) (* 1/2 (/ 1 x)))) y)) (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | x | @ | -inf | ((/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (* x (log (/ x (+ x y)))) (neg y) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (+ (* (+ (/ 1/2 x) 1/2) y) -1) (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (/ (pow (/ x (+ y x)) x) x) (pow (/ x (+ y x)) x) (/ x (+ y x)) (+ y x) (+ (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) (+ (* (+ (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) y) 1)) |
| 5.0ms | x | @ | inf | ((/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (* x (log (/ x (+ x y)))) (neg y) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (+ (* (+ (/ 1/2 x) 1/2) y) -1) (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (/ (pow (/ x (+ y x)) x) x) (pow (/ x (+ y x)) x) (/ x (+ y x)) (+ y x) (+ (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) (+ (* (+ (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) y) 1)) |
| 4.0ms | y | @ | -inf | ((/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (* x (log (/ x (+ x y)))) (neg y) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (+ (* (+ (/ 1/2 x) 1/2) y) -1) (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (/ (pow (/ x (+ y x)) x) x) (pow (/ x (+ y x)) x) (/ x (+ y x)) (+ y x) (+ (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) (+ (* (+ (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) y) 1)) |
| 3.0ms | y | @ | inf | ((/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (* x (log (/ x (+ x y)))) (neg y) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (+ (* (+ (/ 1/2 x) 1/2) y) -1) (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (/ (pow (/ x (+ y x)) x) x) (pow (/ x (+ y x)) x) (/ x (+ y x)) (+ y x) (+ (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) (+ (* (+ (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) y) 1)) |
| 3.0ms | 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))))) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (+ (* (+ (/ 1/2 x) 1/2) y) -1) (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (/ (pow (/ x (+ y x)) x) x) (pow (/ x (+ y x)) x) (/ x (+ y x)) (+ y x) (+ (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) (+ (* (+ (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) y) 1)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 672 | 3754 |
| 1 | 2461 | 3289 |
| 0 | 8482 | 3120 |
| 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))))) |
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(* x (+ (log x) (log (/ 1 y)))) |
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(* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (/ x (pow y 2))) (/ 1 y)))))) |
(* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* x (+ (* -1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y)))))) |
(* 1/2 (/ (pow y 2) x)) |
(/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) x) |
(* 1/2 (/ y x)) |
(/ (+ (* 1/2 y) (* x (- (* 1/2 y) 1))) x) |
(* -1/3 (/ y (pow x 2))) |
(/ (+ (* -1/3 y) (* x (+ 1/2 (* -1/2 y)))) (pow x 2)) |
(/ (+ (* -1/3 y) (* x (+ 1/2 (+ (* -1/2 y) (* x (+ 1/2 (* -1/6 y))))))) (pow x 2)) |
(/ 1/3 (pow x 2)) |
(/ (+ 1/3 (* 1/2 x)) (pow x 2)) |
(/ (+ 1/3 (* x (+ 1/2 (* 1/6 x)))) (pow x 2)) |
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(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y))) |
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))) |
y |
(+ x y) |
(* -1/3 (/ (pow y 2) (pow x 2))) |
(/ (+ (* -1/3 (pow y 2)) (* x (* y (+ 1/2 (* -1/2 y))))) (pow x 2)) |
(/ (+ (* -1/3 (pow y 2)) (* x (+ (* x (- (* y (+ 1/2 (* -1/6 y))) 1)) (* y (+ 1/2 (* -1/2 y)))))) (pow x 2)) |
(* -1/3 (/ (pow y 3) (pow x 2))) |
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(/ (+ (* -1/3 (pow y 3)) (* x (+ (* x (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1)))) (* (pow y 2) (+ 1/2 (* -1/2 y)))))) (pow x 2)) |
(/ (exp (* -1 y)) x) |
(/ (+ (exp (* -1 y)) (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) x) |
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(exp (* -1 y)) |
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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))))) |
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(- (+ (* 1/2 y) (* 1/2 (/ y x))) 1) |
(+ 1/2 (* -1/6 y)) |
(+ 1/2 (+ (* -1/2 (/ y x)) (+ (* -1/6 y) (* 1/2 (/ 1 x))))) |
(+ 1/2 (+ (* -1/2 (/ y x)) (+ (* -1/3 (/ y (pow x 2))) (+ (* -1/6 y) (* 1/2 (/ 1 x)))))) |
1/6 |
(+ 1/6 (* 1/2 (/ 1 x))) |
(+ 1/6 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 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 (+ 1/2 (* -1/6 y))) 1) |
(- (+ (* y (+ 1/2 (* -1/6 y))) (/ (* y (+ 1/2 (* -1/2 y))) x)) 1) |
(- (+ (* -1/3 (/ (pow y 2) (pow x 2))) (+ (* y (+ 1/2 (* -1/6 y))) (/ (* y (+ 1/2 (* -1/2 y))) x))) 1) |
(+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) |
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(+ 1 (+ (* -1/3 (/ (pow y 3) (pow x 2))) (+ (* y (- (* y (+ 1/2 (* -1/6 y))) 1)) (/ (* (pow y 2) (+ 1/2 (* -1/2 y))) x)))) |
(* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) x)) |
(* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1 (/ (+ (* 1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (/ (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)))) x)) x))) x)) |
(* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2))))) (/ (* (exp (* -1 y)) (+ (* -1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) x)) x)) (* 1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))) x))) x)) |
(+ (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))) |
(+ 1/2 (+ (* -1 (/ (- (* 1/2 y) 1/2) x)) (* -1/6 y))) |
(+ 1/2 (+ (* -1 (/ (- (+ (* 1/3 (/ y x)) (* 1/2 y)) 1/2) x)) (* -1/6 y))) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(- (+ (* -1 (/ (* y (- (* 1/2 y) 1/2)) x)) (* y (+ 1/2 (* -1/6 y)))) 1) |
(- (+ (* -1 (/ (+ (* 1/3 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1/2))) x)) (* y (+ 1/2 (* -1/6 y)))) 1) |
(+ 1 (+ (* -1 (/ (* (pow y 2) (- (* 1/2 y) 1/2)) x)) (* y (- (* y (+ 1/2 (* -1/6 y))) 1)))) |
(+ 1 (+ (* -1 (/ (+ (* 1/3 (/ (pow y 3) x)) (* (pow y 2) (- (* 1/2 y) 1/2))) x)) (* y (- (* y (+ 1/2 (* -1/6 y))) 1)))) |
(+ (* -1 (/ y x)) (/ 1 x)) |
(+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x)) |
(+ (* y (- (* y (+ (* -1 (/ (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) x)) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))) (/ 1 x))) (/ 1 x)) |
(+ 1 (* -1 y)) |
(+ 1 (* y (- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1))) |
(+ 1 (* y (- (* y (+ 1/2 (+ (* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) (* 1/2 (/ 1 x))))) 1))) |
(* y (- (* 1/2 (/ y x)) 1)) |
(* y (- (* y (+ (* -1/3 (/ y (pow x 2))) (* 1/2 (/ 1 x)))) 1)) |
(* y (- (* y (+ (* y (- (* 1/4 (/ y (pow x 3))) (* 1/3 (/ 1 (pow x 2))))) (* 1/2 (/ 1 x)))) 1)) |
-1 |
(- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1) |
(+ 1/2 (* 1/2 (/ 1 x))) |
(+ 1/2 (+ (* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) (* 1/2 (/ 1 x)))) |
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x)))) |
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)))) |
(- (* y (+ 1/2 (+ (* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) (* 1/2 (/ 1 x))))) 1) |
(/ (exp (* x (+ (log x) (log (/ 1 y))))) x) |
(+ (* -1 (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (/ (exp (* x (+ (log x) (log (/ 1 y))))) x)) |
(+ (* -1 (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (+ (/ (exp (* x (+ (log x) (log (/ 1 y))))) x) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x (pow y 2))))) |
(+ (* -1 (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (+ (/ (exp (* x (+ (log x) (log (/ 1 y))))) x) (+ (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (+ (* -1/6 (pow x 6)) (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* -2 (pow x 3)) (* 6 (pow x 3))))))))) (* x (pow y 3))) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x (pow y 2)))))) |
(exp (* x (+ (log x) (log (/ 1 y))))) |
(+ (exp (* x (+ (log x) (log (/ 1 y))))) (* -1 (/ (* (pow x 2) (exp (* x (+ (log x) (log (/ 1 y)))))) y))) |
(+ (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1 (/ (* (pow x 2) (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (pow y 2)))) |
(+ (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1 (/ (* (pow x 2) (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (+ (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (+ (* -1/6 (pow x 6)) (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* -2 (pow x 3)) (* 6 (pow x 3))))))))) (pow y 3)) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (pow y 2))))) |
(+ (* -1 (/ (pow x 2) y)) (* x (+ (log x) (log (/ 1 y))))) |
(+ (* -1 (/ (pow x 2) y)) (+ (* 1/2 (/ (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2)))) (pow y 2))) (* x (+ (log x) (log (/ 1 y)))))) |
(+ (* -1 (/ (pow x 2) y)) (+ (* 1/6 (/ (* x (+ (* -6 (pow x 3)) (+ (* -2 (pow x 3)) (* 6 (pow x 3))))) (pow y 3))) (+ (* 1/2 (/ (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2)))) (pow y 2))) (* x (+ (log x) (log (/ 1 y))))))) |
(* (pow y 2) (+ 1/2 (* 1/2 (/ 1 x)))) |
(* (pow y 2) (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1 y))) |
(* (pow y 2) (- (+ 1/2 (+ (* 1/2 (/ 1 x)) (/ 1 (pow y 2)))) (/ 1 y))) |
(* y (+ 1/2 (* 1/2 (/ 1 x)))) |
(* y (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1 y))) |
(* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) |
(* y (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (+ (/ 1/2 (* x y)) (* 1/2 (/ 1 y))))) |
(/ (+ x (* -1 (/ (pow x 2) y))) y) |
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y) |
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y) |
(* y (+ 1 (/ x y))) |
(* -1 (* (pow y 2) (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) |
(* (pow y 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (+ (/ 1/2 (* x y)) (* 1/2 (/ 1 y))))) |
(* (pow y 2) (- (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (+ (/ 1/2 (* x y)) (* 1/2 (/ 1 y)))) (/ 1 (pow y 2)))) |
(* -1 (* (pow y 3) (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) |
(* (pow y 3) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (+ (/ 1/2 (* x y)) (* 1/2 (/ 1 y))))) |
(* (pow y 3) (- (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (+ (/ 1/2 (* x y)) (* 1/2 (/ 1 y)))) (/ 1 (pow y 2)))) |
(* (pow y 3) (- (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (+ (/ 1/2 (* x y)) (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 3))))) (/ 1 (pow y 2)))) |
(/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x) |
(+ (* -1 (/ (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x)) |
(+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x y))) (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3)))))) (+ (* 1/6 (pow x 6)) (* 1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))))) (* x y))) (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) x)) y)) (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x)) |
(exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) |
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))) y))) |
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) y)) (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y))) |
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3)))))) (+ (* 1/6 (pow x 6)) (* 1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))))) y)) (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4))))) y)) (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y))) |
(* x (+ (log (* -1 x)) (log (/ -1 y)))) |
(+ (* -1 (/ (pow x 2) y)) (* x (+ (log (* -1 x)) (log (/ -1 y))))) |
(+ (* -1 (/ (+ (* -1/2 (/ (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2)))) y)) (pow x 2)) y)) (* x (+ (log (* -1 x)) (log (/ -1 y))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3))))) y)) (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))) y)) (pow x 2)) y)) (* x (+ (log (* -1 x)) (log (/ -1 y))))) |
(* (pow y 2) (+ 1/2 (+ (* -1 (/ (- 1 (/ 1 y)) y)) (* 1/2 (/ 1 x))))) |
(* -1 (* y (+ (* -1 (+ 1/2 (* 1/2 (/ 1 x)))) (/ 1 y)))) |
(* -1 (* y (+ 1/6 (+ (* -1 (/ (+ 1/2 (* 1/2 (/ 1 x))) y)) (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 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))) |
(* (pow y 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (* -1 (/ (+ (* -1 (+ 1/2 (* 1/2 (/ 1 x)))) (/ 1 y)) y)))) |
(* -1 (* (pow y 3) (+ 1/6 (+ (* -1 (/ (+ 1/2 (* 1/2 (/ 1 x))) y)) (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))) |
(* -1 (* (pow y 3) (+ 1/6 (+ (* -1 (/ (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1 y)) y)) (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))) |
(* -1 (* (pow y 3) (+ 1/6 (+ (* -1 (/ (+ 1/2 (+ (* -1 (/ (- 1 (/ 1 y)) y)) (* 1/2 (/ 1 x)))) y)) (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))) |
| Outputs |
|---|
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (* x (+ (log x) (log (/ 1 y))))) x) |
(/.f64 (fma.f64 (-.f64 (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) |
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(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y) (+.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) x))) y) |
(/ (+ x (* -1 (/ (pow x 2) y))) y) |
(/.f64 (-.f64 x (/.f64 (*.f64 x x) y)) y) |
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y) |
(/.f64 (+.f64 x (-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 y y)) (/.f64 (*.f64 x x) y))) y) |
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y) |
(/.f64 (-.f64 (-.f64 x (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64)))) (-.f64 (/.f64 (*.f64 x x) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 y y)))) y) |
(* y (+ 1 (/ x y))) |
(fma.f64 (/.f64 x y) y y) |
(* -1 (* (pow y 2) (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) |
(*.f64 (neg.f64 (+.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) x))) (*.f64 y y)) |
(* (pow y 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (+ (/ 1/2 (* x y)) (* 1/2 (/ 1 y))))) |
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y) (+.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) x))) (*.f64 y y)) |
(* (pow y 2) (- (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (+ (/ 1/2 (* x y)) (* 1/2 (/ 1 y)))) (/ 1 (pow y 2)))) |
(*.f64 (-.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y) (+.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 y y)) |
(* -1 (* (pow y 3) (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) |
(*.f64 (neg.f64 (+.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) x))) (pow.f64 y #s(literal 3 binary64))) |
(* (pow y 3) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (+ (/ 1/2 (* x y)) (* 1/2 (/ 1 y))))) |
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y) (+.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) x))) (pow.f64 y #s(literal 3 binary64))) |
(* (pow y 3) (- (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (+ (/ 1/2 (* x y)) (* 1/2 (/ 1 y)))) (/ 1 (pow y 2)))) |
(*.f64 (-.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y) (+.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (pow.f64 y #s(literal 3 binary64))) |
(* (pow y 3) (- (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (+ (/ 1/2 (* x y)) (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 3))))) (/ 1 (pow y 2)))) |
(*.f64 (-.f64 (-.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (pow.f64 y #s(literal 3 binary64))) |
(/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x) |
(/.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) x) |
(+ (* -1 (/ (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x)) |
(fma.f64 (neg.f64 x) (/.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) y) (/.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) x)) |
(+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x y))) (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x)) |
(-.f64 (/.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) x) (/.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) (neg.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))) x))) (*.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) x)) y)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3)))))) (+ (* 1/6 (pow x 6)) (* 1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))))) (* x y))) (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) x)) y)) (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x)) |
(-.f64 (/.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) x) (/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) x) (/.f64 (fma.f64 (/.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) x) (neg.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)) x (pow.f64 x #s(literal 6 binary64))) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)) (*.f64 x x))) y)) (*.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64)))) x))) y)) y)) |
(exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) |
(pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) |
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))) y))) |
(fma.f64 (*.f64 (neg.f64 x) x) (/.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) y) (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x))))) |
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) y)) (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y))) |
(-.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) (/.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) (*.f64 x x) (/.f64 (*.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 y))) y)) |
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3)))))) (+ (* 1/6 (pow x 6)) (* 1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))))) y)) (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4))))) y)) (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y))) |
(-.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) (/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) (*.f64 x x)) (/.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) (neg.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)) x (pow.f64 x #s(literal 6 binary64))) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)) (*.f64 x x))) y)) (*.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64)))))) y)) y)) |
(* x (+ (log (* -1 x)) (log (/ -1 y)))) |
(*.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x))) x) |
(+ (* -1 (/ (pow x 2) y)) (* x (+ (log (* -1 x)) (log (/ -1 y))))) |
(fma.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x))) x (/.f64 (*.f64 (neg.f64 x) x) y)) |
(+ (* -1 (/ (+ (* -1/2 (/ (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2)))) y)) (pow x 2)) y)) (* x (+ (log (* -1 x)) (log (/ -1 y))))) |
(fma.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x))) x (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) #s(literal -1/2 binary64) (*.f64 x x)) (neg.f64 y))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3))))) y)) (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))) y)) (pow x 2)) y)) (* x (+ (log (* -1 x)) (log (/ -1 y))))) |
(fma.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x))) x (/.f64 (fma.f64 x x (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)) x) y) #s(literal -1/6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64))) (neg.f64 y))) (neg.f64 y))) |
(* (pow y 2) (+ 1/2 (+ (* -1 (/ (- 1 (/ 1 y)) y)) (* 1/2 (/ 1 x))))) |
(*.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y)) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 y y)) |
(* -1 (* y (+ (* -1 (+ 1/2 (* 1/2 (/ 1 x)))) (/ 1 y)))) |
(neg.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) y #s(literal 1 binary64))) |
(* -1 (* y (+ 1/6 (+ (* -1 (/ (+ 1/2 (* 1/2 (/ 1 x))) y)) (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))) |
(*.f64 (+.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y)) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal -1/3 binary64) (*.f64 x x)))) (neg.f64 y)) |
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y)) |
(/.f64 (-.f64 (/.f64 (*.f64 x x) y) x) (neg.f64 y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (*.f64 x x)) (neg.f64 y)) x) (neg.f64 y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) (neg.f64 y)) (*.f64 x x)) (neg.f64 y)) x) (neg.f64 y)) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(fma.f64 (neg.f64 y) (/.f64 (neg.f64 x) y) y) |
(* (pow y 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (* -1 (/ (+ (* -1 (+ 1/2 (* 1/2 (/ 1 x)))) (/ 1 y)) y)))) |
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) (neg.f64 y)) (+.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) x))) (*.f64 y y)) |
(* -1 (* (pow y 3) (+ 1/6 (+ (* -1 (/ (+ 1/2 (* 1/2 (/ 1 x))) y)) (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))) |
(*.f64 (neg.f64 (+.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y)) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))))) (pow.f64 y #s(literal 3 binary64))) |
(* -1 (* (pow y 3) (+ 1/6 (+ (* -1 (/ (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1 y)) y)) (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))) |
(*.f64 (neg.f64 (pow.f64 y #s(literal 3 binary64))) (+.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) y)) y)) #s(literal 1/6 binary64))) |
(* -1 (* (pow y 3) (+ 1/6 (+ (* -1 (/ (+ 1/2 (+ (* -1 (/ (- 1 (/ 1 y)) y)) (* 1/2 (/ 1 x)))) y)) (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))) |
(*.f64 (neg.f64 (+.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y)) (/.f64 #s(literal 1/2 binary64) x)) y)) #s(literal 1/6 binary64))) (pow.f64 y #s(literal 3 binary64))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 299 |
| 0 | 66 | 287 |
| 1 | 298 | 275 |
| 2 | 2436 | 275 |
| 0 | 8307 | 275 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) |
(exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) |
#s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)) |
(neg.f64 y) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (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))))) (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))) |
(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)) |
(fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y #s(literal -1 binary64)) |
(fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) |
(-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) |
(/.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) x) |
(pow.f64 (/.f64 x (+.f64 y x)) x) |
(/.f64 x (+.f64 y x)) |
(+.f64 y x) |
(fma.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) |
(fma.f64 (fma.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64)) |
| Outputs |
|---|
(*.f64 (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 (neg.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)))) (pow.f64 (neg.f64 x) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x)) |
(*.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) (pow.f64 x #s(literal -1 binary64))) |
(pow.f64 (/.f64 (/.f64 x (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 x (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)))) #s(literal -1 binary64)) |
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(*.f64 (sqrt.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)) (/.f64 (sqrt.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)) x)) |
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(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (pow.f64 (/.f64 x (+.f64 y x)) (neg.f64 x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (/.f64 x (+.f64 y x)) x)) |
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(*.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) x)) |
(pow.f64 (/.f64 (/.f64 x (pow.f64 (/.f64 x (+.f64 y x)) x)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 x (pow.f64 (/.f64 x (+.f64 y x)) x)) #s(literal -1 binary64)) |
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(/.f64 (neg.f64 (neg.f64 (neg.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)))) (neg.f64 (neg.f64 (neg.f64 x)))) |
(/.f64 (*.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) #s(literal 1 binary64)) x) |
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(/.f64 (neg.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)) (neg.f64 x)) |
(/.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) x) |
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(exp.f64 (*.f64 (log.f64 (/.f64 x (pow.f64 (/.f64 x (+.f64 y x)) x))) #s(literal -1 binary64))) |
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(*.f64 (pow.f64 #s(literal 1 binary64) (/.f64 (+.f64 x x) #s(literal 2 binary64))) (pow.f64 (/.f64 x (+.f64 y x)) x)) |
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(*.f64 (pow.f64 (/.f64 x (*.f64 (+.f64 y x) (-.f64 x y))) x) (pow.f64 (-.f64 x y) x)) |
(*.f64 (pow.f64 (/.f64 x (fma.f64 y y (*.f64 (neg.f64 x) x))) x) (pow.f64 (-.f64 y x) x)) |
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(*.f64 (pow.f64 (neg.f64 x) x) (pow.f64 (pow.f64 (neg.f64 (+.f64 y x)) #s(literal -1 binary64)) x)) |
(*.f64 (pow.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 x (+.f64 y x)) x)) |
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(*.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) (log.f64 x)) (pow.f64 (exp.f64 x) (neg.f64 (log.f64 (+.f64 y x))))) |
(*.f64 (sqrt.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)) (sqrt.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))) |
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(pow.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 y x) x) #s(literal -2 binary64)) x) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (exp.f64 x) (/.f64 (log.f64 (/.f64 (+.f64 y x) x)) #s(literal -2 binary64))) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 (sqrt.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (/.f64 (+.f64 y x) x) #s(literal -2 binary64)) (*.f64 x #s(literal 1/2 binary64))) |
(pow.f64 (sqrt.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 (+.f64 y x) x) (*.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64))))) |
(pow.f64 (/.f64 (+.f64 y x) x) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x x) #s(literal 2 binary64)))) |
(pow.f64 (/.f64 (+.f64 y x) x) (neg.f64 x)) |
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(pow.f64 (/.f64 x (+.f64 y x)) (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64)))) |
(pow.f64 (/.f64 x (+.f64 y x)) (/.f64 (+.f64 x x) #s(literal 2 binary64))) |
(pow.f64 (/.f64 x (+.f64 y x)) x) |
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(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) (fma.f64 (fma.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/3 binary64) 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 3 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/3 binary64) 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 2 binary64)) (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/3 binary64) 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 2 binary64)) (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/3 binary64) 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 2 binary64)) (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y)))) (/.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/3 binary64) 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 3 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/3 binary64) 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 2 binary64)) (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y))))) |
(+.f64 (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y)) (pow.f64 (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/3 binary64) 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 2 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/3 binary64) 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 3 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y)) (pow.f64 (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/3 binary64) 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 2 binary64))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/3 binary64) 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 3 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y)) (pow.f64 (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/3 binary64) 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 2 binary64)))) (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y)) (pow.f64 (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/3 binary64) 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 2 binary64))) #s(literal -1 binary64))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/3 binary64) 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 2 binary64)) (fma.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal -1 binary64)))) |
(+.f64 (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y)) |
Compiled 28 018 to 3 406 computations (87.8% saved)
13 alts after pruning (11 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 692 | 8 | 700 |
| Fresh | 0 | 3 | 3 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 695 | 13 | 708 |
| Status | Accuracy | Program |
|---|---|---|
| 45.6% | (/.f64 (pow.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) x) x) | |
| ✓ | 84.5% | (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) |
| ▶ | 32.5% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) (*.f64 x x))) (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) |
| ▶ | 67.9% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) |
| 65.7% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 x) 1/2) y) -1) (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64))) y #s(literal 1 binary64))) x) | |
| 61.6% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 x) 1/2) y) -1) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x (*.f64 #s(literal 1/2 binary64) y)) x)) y #s(literal 1 binary64))) x) | |
| 29.7% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (+ (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal -1 binary64)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x (*.f64 #s(literal -1/3 binary64) (*.f64 y y))) (*.f64 x x))) y #s(literal 1 binary64))) x) | |
| ▶ | 60.5% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) x) |
| ▶ | 59.5% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x))) x) |
| ▶ | 7.7% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (*.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64)))) x) |
| ✓ | 76.0% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) |
| 52.2% | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) #s(literal 1/2 binary64)) x) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))) | |
| 49.9% | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal -1/2 binary64) x)) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))) |
Compiled 831 to 566 computations (31.9% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 (fma.f64 (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) (*.f64 x x))) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) (*.f64 x x))) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) | |
| cost-diff | 0 | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) (*.f64 x x))) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) | |
| cost-diff | 128 | (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) (*.f64 x x))) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) | |
| cost-diff | 0 | #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x))) | |
| cost-diff | 0 | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x))) x) | |
| cost-diff | 320 | (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) | |
| cost-diff | 512 | (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x) | |
| cost-diff | 0 | (*.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (*.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64))) | |
| cost-diff | 0 | #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (*.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64)))) | |
| cost-diff | 0 | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (*.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64)))) x) | |
| 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 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) | |
| cost-diff | 0 | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 65 | 744 |
| 0 | 104 | 744 |
| 1 | 188 | 697 |
| 2 | 530 | 697 |
| 3 | 2112 | 671 |
| 0 | 8070 | 639 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64)) |
(fma.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) |
#s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) |
(fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) |
#s(literal -1/6 binary64) |
y |
#s(literal 1/2 binary64) |
#s(literal -1 binary64) |
#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 |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (*.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64)))) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (*.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64)))) |
#s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (*.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) |
(/.f64 (*.f64 y y) x) |
(*.f64 y y) |
y |
x |
#s(literal 1/2 binary64) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x))) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x))) |
#s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x)) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) |
#s(literal 1/2 binary64) |
y |
#s(literal -1 binary64) |
#s(literal 1 binary64) |
x |
(*.f64 (*.f64 y y) #s(literal 1/2 binary64)) |
(*.f64 y y) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) (*.f64 x x))) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) (*.f64 x x))) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) (*.f64 x x))) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) (*.f64 x x))) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) |
(fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) (*.f64 x x))) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) |
#s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) (*.f64 x x))) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) (*.f64 x x)) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) |
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) |
#s(literal 1/6 binary64) |
x |
#s(literal 1/2 binary64) |
#s(literal 1/3 binary64) |
(*.f64 x x) |
(neg.f64 y) |
y |
(+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1/2 binary64) x) |
#s(literal -1 binary64) |
#s(literal 1 binary64) |
| Outputs |
|---|
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64)) |
(fma.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) |
#s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) |
(fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) |
#s(literal -1/6 binary64) |
y |
#s(literal 1/2 binary64) |
#s(literal -1 binary64) |
#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 |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (*.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64)))) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (*.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64)))) |
#s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (*.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) |
(/.f64 (*.f64 y y) x) |
(*.f64 y y) |
y |
x |
#s(literal 1/2 binary64) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x)) y #s(literal -1 binary64)) y #s(literal 1 binary64)))) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x))) |
#s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x)) y #s(literal -1 binary64)) y #s(literal 1 binary64)))) |
#s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x)) |
#s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x)) y #s(literal -1 binary64)) y #s(literal 1 binary64))) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x) |
(fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x)) y #s(literal -1 binary64)) y #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) |
(fma.f64 y (fma.f64 #s(literal 1/2 binary64) y (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) x) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) |
#s(literal 1/2 binary64) |
y |
#s(literal -1 binary64) |
#s(literal 1 binary64) |
x |
(*.f64 (*.f64 y y) #s(literal 1/2 binary64)) |
(*.f64 y y) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) (*.f64 x x))) (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 (-.f64 (/.f64 #s(literal 1/2 binary64) x) (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) x))) y #s(literal -1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) (*.f64 x x))) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) |
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) x))) y #s(literal -1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) (*.f64 x x))) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) x))) y #s(literal -1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) (*.f64 x x))) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) |
(fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) x))) y #s(literal -1/2 binary64))) y #s(literal -1 binary64)) |
(fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) (*.f64 x x))) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) |
(-.f64 (/.f64 #s(literal 1/2 binary64) x) (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) x))) y #s(literal -1/2 binary64))) |
#s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) (*.f64 x x))) |
#s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) x))) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) (*.f64 x x)) |
(-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) x)) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) |
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) |
#s(literal 1/6 binary64) |
x |
#s(literal 1/2 binary64) |
#s(literal 1/3 binary64) |
(*.f64 x x) |
(neg.f64 y) |
y |
(+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) |
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x)) |
(/.f64 #s(literal 1/2 binary64) x) |
#s(literal -1 binary64) |
#s(literal 1 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 1.90435435709421 | (fma.f64 (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) (*.f64 x x))) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) | |
| accuracy | 3.9500257827699445 | (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) (*.f64 x x))) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) | |
| accuracy | 21.001496458804972 | (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) (*.f64 x x)) | |
| accuracy | 25.367813778440023 | #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) (*.f64 x x))) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) | |
| accuracy | 0.00390625 | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x))) x) | |
| accuracy | 5.210059435885592 | (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x) | |
| accuracy | 6.105439851622882 | (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) | |
| accuracy | 25.779469805846652 | #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x))) | |
| accuracy | 0.00390625 | (*.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) | |
| accuracy | 8.710538838845372 | (/.f64 (*.f64 y y) x) | |
| accuracy | 25.779469805846652 | #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (*.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64)))) | |
| accuracy | 47.95771403232262 | #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (*.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64))) | |
| accuracy | 0 | (-.f64 #s(literal 1 binary64) y) | |
| accuracy | 0.00390625 | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) x) | |
| accuracy | 25.261098964247346 | #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) | |
| accuracy | 0.7247490993580203 | (fma.f64 (fma.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64)) | |
| accuracy | 1.90435435709421 | (fma.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) | |
| accuracy | 25.367813778440023 | #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) | |
| accuracy | 27.542378287495247 | #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) |
| 231.0ms | 113× | 1 | valid |
| 92.0ms | 143× | 0 | valid |
Compiled 1 172 to 124 computations (89.4% saved)
ival-add: 134.0ms (56.6% of total)ival-mult: 31.0ms (13.1% of total)ival-div: 19.0ms (8% of total)ival-log: 17.0ms (7.2% of total)const: 15.0ms (6.3% of total)adjust: 12.0ms (5.1% of total)ival-sub: 4.0ms (1.7% of total)ival-exp: 3.0ms (1.3% of total)ival-neg: 1.0ms (0.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64)) |
(fma.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) |
(-.f64 #s(literal 1 binary64) y) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (*.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64)))) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (*.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64)))) |
#s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (*.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x))) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x))) |
(fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) (*.f64 x x))) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) (*.f64 x x))) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) (*.f64 x x))) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) (*.f64 x x))) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64)) |
#s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) |
(/.f64 (*.f64 y y) x) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) (*.f64 x x)) |
(fma.f64 (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) (*.f64 x x))) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) |
| Outputs |
|---|
(/ 1 x) |
(/ (+ 1 (* x (+ (log x) (log (/ 1 y))))) x) |
(/ (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y))))))) x) |
(/ (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (* x (+ (* -1 (/ (+ (log x) (log (/ 1 y))) y)) (+ (* 1/6 (pow (+ (log x) (log (/ 1 y))) 3)) (* 1/2 (/ 1 (pow y 2))))))) (/ 1 y))))))) x) |
1 |
(+ 1 (* x (+ (log x) (log (/ 1 y))))) |
(+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y))))))) |
(+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (* x (+ (* -1 (/ (+ (log x) (log (/ 1 y))) y)) (+ (* 1/6 (pow (+ (log x) (log (/ 1 y))) 3)) (* 1/2 (/ 1 (pow y 2))))))) (/ 1 y))))))) |
(* -1/3 (/ (pow y 3) (pow x 2))) |
(/ (+ (* -1/3 (pow y 3)) (* x (* (pow y 2) (+ 1/2 (* -1/2 y))))) (pow x 2)) |
(/ (+ (* -1/3 (pow y 3)) (* x (+ (* x (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1)))) (* (pow y 2) (+ 1/2 (* -1/2 y)))))) (pow x 2)) |
(* -1/3 (/ (pow y 2) (pow x 2))) |
(/ (+ (* -1/3 (pow y 2)) (* x (* y (+ 1/2 (* -1/2 y))))) (pow x 2)) |
(/ (+ (* -1/3 (pow y 2)) (* x (+ (* x (- (* y (+ 1/2 (* -1/6 y))) 1)) (* y (+ 1/2 (* -1/2 y)))))) (pow x 2)) |
(* 1/2 (/ (pow y 2) x)) |
(/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) x) |
(* 1/2 (pow y 2)) |
(+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) |
(* -1/3 (/ y (pow x 2))) |
(/ (+ (* -1/3 y) (* x (+ 1/2 (* -1/2 y)))) (pow x 2)) |
(/ (+ (* -1/3 y) (* x (+ 1/2 (+ (* -1/2 y) (* x (+ 1/2 (* -1/6 y))))))) (pow x 2)) |
(/ (pow y 2) x) |
(/ 1/3 (pow x 2)) |
(/ (+ 1/3 (* 1/2 x)) (pow x 2)) |
(/ (+ 1/3 (* x (+ 1/2 (* 1/6 x)))) (pow x 2)) |
(/ (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 (- (* y (+ 1/2 (* -1/6 y))) 1))) |
(+ 1 (+ (* y (- (* y (+ 1/2 (* -1/6 y))) 1)) (/ (* (pow y 2) (+ 1/2 (* -1/2 y))) x))) |
(+ 1 (+ (* -1/3 (/ (pow y 3) (pow x 2))) (+ (* y (- (* y (+ 1/2 (* -1/6 y))) 1)) (/ (* (pow y 2) (+ 1/2 (* -1/2 y))) x)))) |
(- (* y (+ 1/2 (* -1/6 y))) 1) |
(- (+ (* y (+ 1/2 (* -1/6 y))) (/ (* y (+ 1/2 (* -1/2 y))) x)) 1) |
(- (+ (* -1/3 (/ (pow y 2) (pow x 2))) (+ (* y (+ 1/2 (* -1/6 y))) (/ (* y (+ 1/2 (* -1/2 y))) x))) 1) |
(+ 1 (* y (- (* 1/2 y) 1))) |
(+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1)))) |
(* x (+ 1 (* y (- (* 1/2 y) 1)))) |
(* x (+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1))))) |
(+ 1/2 (* -1/6 y)) |
(+ 1/2 (+ (* -1/2 (/ y x)) (+ (* -1/6 y) (* 1/2 (/ 1 x))))) |
(+ 1/2 (+ (* -1/2 (/ y x)) (+ (* -1/3 (/ y (pow x 2))) (+ (* -1/6 y) (* 1/2 (/ 1 x)))))) |
1/6 |
(+ 1/6 (* 1/2 (/ 1 x))) |
(+ 1/6 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) |
(* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) x)) |
(* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1 (/ (+ (* 1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (/ (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)))) x)) x))) x)) |
(* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2))))) (/ (* (exp (* -1 y)) (+ (* -1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) x)) x)) (* 1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))) x))) x)) |
(+ (exp (* -1 y)) (* -1 (/ (+ (* -1 (/ (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)))) x)) (* -1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))) x))) |
(+ (exp (* -1 y)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* -1 y)) (+ (* -1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) x)) (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2))))) x)) (* -1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))) x))) |
(+ 1 (+ (* -1 (/ (* (pow y 2) (- (* 1/2 y) 1/2)) x)) (* y (- (* y (+ 1/2 (* -1/6 y))) 1)))) |
(+ 1 (+ (* -1 (/ (+ (* 1/3 (/ (pow y 3) x)) (* (pow y 2) (- (* 1/2 y) 1/2))) x)) (* y (- (* y (+ 1/2 (* -1/6 y))) 1)))) |
(- (+ (* -1 (/ (* y (- (* 1/2 y) 1/2)) x)) (* y (+ 1/2 (* -1/6 y)))) 1) |
(- (+ (* -1 (/ (+ (* 1/3 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1/2))) x)) (* y (+ 1/2 (* -1/6 y)))) 1) |
(* -1 (* x (+ (* -1 (+ 1 (* y (- (* 1/2 y) 1)))) (* -1/2 (/ (pow y 2) x))))) |
(+ 1/2 (+ (* -1 (/ (- (* 1/2 y) 1/2) x)) (* -1/6 y))) |
(+ 1/2 (+ (* -1 (/ (- (+ (* 1/3 (/ y x)) (* 1/2 y)) 1/2) x)) (* -1/6 y))) |
(+ (* -1 (/ y x)) (/ 1 x)) |
(+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x)) |
(+ (* y (- (* y (+ (* -1 (/ (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) x)) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))) (/ 1 x))) (/ 1 x)) |
(+ 1 (* -1 y)) |
(+ 1 (* y (- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1))) |
(+ 1 (* y (- (* y (+ 1/2 (+ (* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) (* 1/2 (/ 1 x))))) 1))) |
-1 |
(- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1) |
(- (* y (+ 1/2 (+ (* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) (* 1/2 (/ 1 x))))) 1) |
x |
(+ x (* -1 (* x y))) |
(+ x (* y (+ (* -1 x) (* y (+ 1/2 (* 1/2 x)))))) |
(+ 1/2 (* 1/2 (/ 1 x))) |
(+ 1/2 (+ (* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) (* 1/2 (/ 1 x)))) |
(/ (exp (* x (+ (log x) (log (/ 1 y))))) x) |
(+ (* -1 (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (/ (exp (* x (+ (log x) (log (/ 1 y))))) x)) |
(+ (* -1 (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (+ (/ (exp (* x (+ (log x) (log (/ 1 y))))) x) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x (pow y 2))))) |
(+ (* -1 (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (+ (/ (exp (* x (+ (log x) (log (/ 1 y))))) x) (+ (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (+ (* -1/6 (pow x 6)) (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* -2 (pow x 3)) (* 6 (pow x 3))))))))) (* x (pow y 3))) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x (pow y 2)))))) |
(exp (* x (+ (log x) (log (/ 1 y))))) |
(+ (exp (* x (+ (log x) (log (/ 1 y))))) (* -1 (/ (* (pow x 2) (exp (* x (+ (log x) (log (/ 1 y)))))) y))) |
(+ (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1 (/ (* (pow x 2) (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (pow y 2)))) |
(+ (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1 (/ (* (pow x 2) (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (+ (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (+ (* -1/6 (pow x 6)) (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* -2 (pow x 3)) (* 6 (pow x 3))))))))) (pow y 3)) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (pow y 2))))) |
(* -1 (* (pow y 3) (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) |
(* (pow y 3) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (+ (/ 1/2 (* x y)) (* 1/2 (/ 1 y))))) |
(* (pow y 3) (- (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (+ (/ 1/2 (* x y)) (* 1/2 (/ 1 y)))) (/ 1 (pow y 2)))) |
(* (pow y 3) (- (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (+ (/ 1/2 (* x y)) (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 3))))) (/ 1 (pow y 2)))) |
(* -1 (* (pow y 2) (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) |
(* (pow y 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (+ (/ 1/2 (* x y)) (* 1/2 (/ 1 y))))) |
(* (pow y 2) (- (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (+ (/ 1/2 (* x y)) (* 1/2 (/ 1 y)))) (/ 1 (pow y 2)))) |
(* -1 y) |
(* y (- (/ 1 y) 1)) |
(* (pow y 2) (+ 1/2 (* 1/2 (/ 1 x)))) |
(* (pow y 2) (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1 y))) |
(* (pow y 2) (- (+ 1/2 (+ (* 1/2 (/ 1 x)) (/ 1 (pow y 2)))) (/ 1 y))) |
(/ (* (pow y 2) (+ 1/2 (* 1/2 x))) x) |
(* (pow y 2) (+ 1/2 (* 1/2 x))) |
(* (pow y 2) (+ 1/2 (+ (* -1 (/ x y)) (* 1/2 x)))) |
(* (pow y 2) (+ 1/2 (+ (* -1 (/ x y)) (+ (* 1/2 x) (/ x (pow y 2)))))) |
(* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) |
(* y (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (+ (/ 1/2 (* x y)) (* 1/2 (/ 1 y))))) |
(/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x) |
(+ (* -1 (/ (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x)) |
(+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x y))) (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3)))))) (+ (* 1/6 (pow x 6)) (* 1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))))) (* x y))) (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) x)) y)) (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x)) |
(exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) |
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))) y))) |
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) y)) (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y))) |
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3)))))) (+ (* 1/6 (pow x 6)) (* 1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))))) y)) (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4))))) y)) (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y))) |
(* -1 (* (pow y 3) (+ 1/6 (+ (* -1 (/ (+ 1/2 (* 1/2 (/ 1 x))) y)) (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))) |
(* -1 (* (pow y 3) (+ 1/6 (+ (* -1 (/ (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1 y)) y)) (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))) |
(* -1 (* (pow y 3) (+ 1/6 (+ (* -1 (/ (+ 1/2 (+ (* -1 (/ (- 1 (/ 1 y)) y)) (* 1/2 (/ 1 x)))) y)) (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))) |
(* (pow y 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (* -1 (/ (+ (* -1 (+ 1/2 (* 1/2 (/ 1 x)))) (/ 1 y)) y)))) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* (pow y 2) (+ 1/2 (+ (* -1 (/ (- 1 (/ 1 y)) y)) (* 1/2 (/ 1 x))))) |
(* (pow y 2) (+ 1/2 (+ (* -1 (/ (+ x (* -1 (/ x y))) y)) (* 1/2 x)))) |
(* -1 (* y (+ 1/6 (+ (* -1 (/ (+ 1/2 (* 1/2 (/ 1 x))) y)) (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 16.0ms | x | @ | 0 | ((/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (+ (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) y) 1) (+ (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (- 1 y) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (* (/ (* y y) x) 1/2) (/ (+ (* (+ (* (+ (* 1/2 y) -1) y) 1) x) (* (* y y) 1/2)) x) (+ (* (+ (* (+ (* 1/2 y) -1) y) 1) x) (* (* y y) 1/2)) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (+ (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) y) 1) (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (/ (* y y) x) (/ (+ (* (+ (* 1/6 x) 1/2) x) 1/3) (* x x)) (+ (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1)) |
| 4.0ms | x | @ | -inf | ((/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (+ (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) y) 1) (+ (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (- 1 y) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (* (/ (* y y) x) 1/2) (/ (+ (* (+ (* (+ (* 1/2 y) -1) y) 1) x) (* (* y y) 1/2)) x) (+ (* (+ (* (+ (* 1/2 y) -1) y) 1) x) (* (* y y) 1/2)) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (+ (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) y) 1) (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (/ (* y y) x) (/ (+ (* (+ (* 1/6 x) 1/2) x) 1/3) (* x x)) (+ (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1)) |
| 3.0ms | x | @ | inf | ((/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (+ (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) y) 1) (+ (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (- 1 y) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (* (/ (* y y) x) 1/2) (/ (+ (* (+ (* (+ (* 1/2 y) -1) y) 1) x) (* (* y y) 1/2)) x) (+ (* (+ (* (+ (* 1/2 y) -1) y) 1) x) (* (* y y) 1/2)) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (+ (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) y) 1) (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (/ (* y y) x) (/ (+ (* (+ (* 1/6 x) 1/2) x) 1/3) (* x x)) (+ (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1)) |
| 3.0ms | y | @ | -inf | ((/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (+ (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) y) 1) (+ (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (- 1 y) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (* (/ (* y y) x) 1/2) (/ (+ (* (+ (* (+ (* 1/2 y) -1) y) 1) x) (* (* y y) 1/2)) x) (+ (* (+ (* (+ (* 1/2 y) -1) y) 1) x) (* (* y y) 1/2)) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (+ (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) y) 1) (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (/ (* y y) x) (/ (+ (* (+ (* 1/6 x) 1/2) x) 1/3) (* x x)) (+ (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1)) |
| 3.0ms | y | @ | inf | ((/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (+ (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) y) 1) (+ (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (- 1 y) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (* (/ (* y y) x) 1/2) (/ (+ (* (+ (* (+ (* 1/2 y) -1) y) 1) x) (* (* y y) 1/2)) x) (+ (* (+ (* (+ (* 1/2 y) -1) y) 1) x) (* (* y y) 1/2)) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (+ (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) y) 1) (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (/ (* y y) x) (/ (+ (* (+ (* 1/6 x) 1/2) x) 1/3) (* x x)) (+ (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 518 | 3062 |
| 1 | 1920 | 2704 |
| 0 | 8468 | 2538 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 x) |
(/ (+ 1 (* x (+ (log x) (log (/ 1 y))))) x) |
(/ (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y))))))) x) |
(/ (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (* x (+ (* -1 (/ (+ (log x) (log (/ 1 y))) y)) (+ (* 1/6 (pow (+ (log x) (log (/ 1 y))) 3)) (* 1/2 (/ 1 (pow y 2))))))) (/ 1 y))))))) x) |
1 |
(+ 1 (* x (+ (log x) (log (/ 1 y))))) |
(+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y))))))) |
(+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (* x (+ (* -1 (/ (+ (log x) (log (/ 1 y))) y)) (+ (* 1/6 (pow (+ (log x) (log (/ 1 y))) 3)) (* 1/2 (/ 1 (pow y 2))))))) (/ 1 y))))))) |
(* -1/3 (/ (pow y 3) (pow x 2))) |
(/ (+ (* -1/3 (pow y 3)) (* x (* (pow y 2) (+ 1/2 (* -1/2 y))))) (pow x 2)) |
(/ (+ (* -1/3 (pow y 3)) (* x (+ (* x (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1)))) (* (pow y 2) (+ 1/2 (* -1/2 y)))))) (pow x 2)) |
(* -1/3 (/ (pow y 2) (pow x 2))) |
(/ (+ (* -1/3 (pow y 2)) (* x (* y (+ 1/2 (* -1/2 y))))) (pow x 2)) |
(/ (+ (* -1/3 (pow y 2)) (* x (+ (* x (- (* y (+ 1/2 (* -1/6 y))) 1)) (* y (+ 1/2 (* -1/2 y)))))) (pow x 2)) |
(* 1/2 (/ (pow y 2) x)) |
(/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) x) |
(* 1/2 (pow y 2)) |
(+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) |
(* -1/3 (/ y (pow x 2))) |
(/ (+ (* -1/3 y) (* x (+ 1/2 (* -1/2 y)))) (pow x 2)) |
(/ (+ (* -1/3 y) (* x (+ 1/2 (+ (* -1/2 y) (* x (+ 1/2 (* -1/6 y))))))) (pow x 2)) |
(/ (pow y 2) x) |
(/ 1/3 (pow x 2)) |
(/ (+ 1/3 (* 1/2 x)) (pow x 2)) |
(/ (+ 1/3 (* x (+ 1/2 (* 1/6 x)))) (pow x 2)) |
(/ (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 (- (* y (+ 1/2 (* -1/6 y))) 1))) |
(+ 1 (+ (* y (- (* y (+ 1/2 (* -1/6 y))) 1)) (/ (* (pow y 2) (+ 1/2 (* -1/2 y))) x))) |
(+ 1 (+ (* -1/3 (/ (pow y 3) (pow x 2))) (+ (* y (- (* y (+ 1/2 (* -1/6 y))) 1)) (/ (* (pow y 2) (+ 1/2 (* -1/2 y))) x)))) |
(- (* y (+ 1/2 (* -1/6 y))) 1) |
(- (+ (* y (+ 1/2 (* -1/6 y))) (/ (* y (+ 1/2 (* -1/2 y))) x)) 1) |
(- (+ (* -1/3 (/ (pow y 2) (pow x 2))) (+ (* y (+ 1/2 (* -1/6 y))) (/ (* y (+ 1/2 (* -1/2 y))) x))) 1) |
(+ 1 (* y (- (* 1/2 y) 1))) |
(+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1)))) |
(* x (+ 1 (* y (- (* 1/2 y) 1)))) |
(* x (+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1))))) |
(+ 1/2 (* -1/6 y)) |
(+ 1/2 (+ (* -1/2 (/ y x)) (+ (* -1/6 y) (* 1/2 (/ 1 x))))) |
(+ 1/2 (+ (* -1/2 (/ y x)) (+ (* -1/3 (/ y (pow x 2))) (+ (* -1/6 y) (* 1/2 (/ 1 x)))))) |
1/6 |
(+ 1/6 (* 1/2 (/ 1 x))) |
(+ 1/6 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) |
(* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) x)) |
(* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1 (/ (+ (* 1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (/ (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)))) x)) x))) x)) |
(* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2))))) (/ (* (exp (* -1 y)) (+ (* -1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) x)) x)) (* 1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))) x))) x)) |
(+ (exp (* -1 y)) (* -1 (/ (+ (* -1 (/ (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)))) x)) (* -1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))) x))) |
(+ (exp (* -1 y)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* -1 y)) (+ (* -1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) x)) (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2))))) x)) (* -1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))) x))) |
(+ 1 (+ (* -1 (/ (* (pow y 2) (- (* 1/2 y) 1/2)) x)) (* y (- (* y (+ 1/2 (* -1/6 y))) 1)))) |
(+ 1 (+ (* -1 (/ (+ (* 1/3 (/ (pow y 3) x)) (* (pow y 2) (- (* 1/2 y) 1/2))) x)) (* y (- (* y (+ 1/2 (* -1/6 y))) 1)))) |
(- (+ (* -1 (/ (* y (- (* 1/2 y) 1/2)) x)) (* y (+ 1/2 (* -1/6 y)))) 1) |
(- (+ (* -1 (/ (+ (* 1/3 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1/2))) x)) (* y (+ 1/2 (* -1/6 y)))) 1) |
(* -1 (* x (+ (* -1 (+ 1 (* y (- (* 1/2 y) 1)))) (* -1/2 (/ (pow y 2) x))))) |
(+ 1/2 (+ (* -1 (/ (- (* 1/2 y) 1/2) x)) (* -1/6 y))) |
(+ 1/2 (+ (* -1 (/ (- (+ (* 1/3 (/ y x)) (* 1/2 y)) 1/2) x)) (* -1/6 y))) |
(+ (* -1 (/ y x)) (/ 1 x)) |
(+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x)) |
(+ (* y (- (* y (+ (* -1 (/ (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) x)) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))) (/ 1 x))) (/ 1 x)) |
(+ 1 (* -1 y)) |
(+ 1 (* y (- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1))) |
(+ 1 (* y (- (* y (+ 1/2 (+ (* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) (* 1/2 (/ 1 x))))) 1))) |
-1 |
(- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1) |
(- (* y (+ 1/2 (+ (* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) (* 1/2 (/ 1 x))))) 1) |
x |
(+ x (* -1 (* x y))) |
(+ x (* y (+ (* -1 x) (* y (+ 1/2 (* 1/2 x)))))) |
(+ 1/2 (* 1/2 (/ 1 x))) |
(+ 1/2 (+ (* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) (* 1/2 (/ 1 x)))) |
(/ (exp (* x (+ (log x) (log (/ 1 y))))) x) |
(+ (* -1 (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (/ (exp (* x (+ (log x) (log (/ 1 y))))) x)) |
(+ (* -1 (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (+ (/ (exp (* x (+ (log x) (log (/ 1 y))))) x) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x (pow y 2))))) |
(+ (* -1 (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (+ (/ (exp (* x (+ (log x) (log (/ 1 y))))) x) (+ (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (+ (* -1/6 (pow x 6)) (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* -2 (pow x 3)) (* 6 (pow x 3))))))))) (* x (pow y 3))) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x (pow y 2)))))) |
(exp (* x (+ (log x) (log (/ 1 y))))) |
(+ (exp (* x (+ (log x) (log (/ 1 y))))) (* -1 (/ (* (pow x 2) (exp (* x (+ (log x) (log (/ 1 y)))))) y))) |
(+ (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1 (/ (* (pow x 2) (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (pow y 2)))) |
(+ (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1 (/ (* (pow x 2) (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (+ (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (+ (* -1/6 (pow x 6)) (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* -2 (pow x 3)) (* 6 (pow x 3))))))))) (pow y 3)) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (pow y 2))))) |
(* -1 (* (pow y 3) (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) |
(* (pow y 3) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (+ (/ 1/2 (* x y)) (* 1/2 (/ 1 y))))) |
(* (pow y 3) (- (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (+ (/ 1/2 (* x y)) (* 1/2 (/ 1 y)))) (/ 1 (pow y 2)))) |
(* (pow y 3) (- (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (+ (/ 1/2 (* x y)) (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 3))))) (/ 1 (pow y 2)))) |
(* -1 (* (pow y 2) (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) |
(* (pow y 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (+ (/ 1/2 (* x y)) (* 1/2 (/ 1 y))))) |
(* (pow y 2) (- (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (+ (/ 1/2 (* x y)) (* 1/2 (/ 1 y)))) (/ 1 (pow y 2)))) |
(* -1 y) |
(* y (- (/ 1 y) 1)) |
(* (pow y 2) (+ 1/2 (* 1/2 (/ 1 x)))) |
(* (pow y 2) (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1 y))) |
(* (pow y 2) (- (+ 1/2 (+ (* 1/2 (/ 1 x)) (/ 1 (pow y 2)))) (/ 1 y))) |
(/ (* (pow y 2) (+ 1/2 (* 1/2 x))) x) |
(* (pow y 2) (+ 1/2 (* 1/2 x))) |
(* (pow y 2) (+ 1/2 (+ (* -1 (/ x y)) (* 1/2 x)))) |
(* (pow y 2) (+ 1/2 (+ (* -1 (/ x y)) (+ (* 1/2 x) (/ x (pow y 2)))))) |
(* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) |
(* y (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (+ (/ 1/2 (* x y)) (* 1/2 (/ 1 y))))) |
(/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x) |
(+ (* -1 (/ (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x)) |
(+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x y))) (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3)))))) (+ (* 1/6 (pow x 6)) (* 1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))))) (* x y))) (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) x)) y)) (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x)) |
(exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) |
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))) y))) |
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) y)) (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y))) |
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3)))))) (+ (* 1/6 (pow x 6)) (* 1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))))) y)) (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4))))) y)) (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y))) |
(* -1 (* (pow y 3) (+ 1/6 (+ (* -1 (/ (+ 1/2 (* 1/2 (/ 1 x))) y)) (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))) |
(* -1 (* (pow y 3) (+ 1/6 (+ (* -1 (/ (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1 y)) y)) (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))) |
(* -1 (* (pow y 3) (+ 1/6 (+ (* -1 (/ (+ 1/2 (+ (* -1 (/ (- 1 (/ 1 y)) y)) (* 1/2 (/ 1 x)))) y)) (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))) |
(* (pow y 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (* -1 (/ (+ (* -1 (+ 1/2 (* 1/2 (/ 1 x)))) (/ 1 y)) y)))) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* (pow y 2) (+ 1/2 (+ (* -1 (/ (- 1 (/ 1 y)) y)) (* 1/2 (/ 1 x))))) |
(* (pow y 2) (+ 1/2 (+ (* -1 (/ (+ x (* -1 (/ x y))) y)) (* 1/2 x)))) |
(* -1 (* y (+ 1/6 (+ (* -1 (/ (+ 1/2 (* 1/2 (/ 1 x))) y)) (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))) |
| Outputs |
|---|
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (* x (+ (log x) (log (/ 1 y))))) x) |
(/.f64 (fma.f64 (-.f64 (log.f64 x) (log.f64 y)) x #s(literal 1 binary64)) x) |
(/ (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y))))))) x) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 x) (log.f64 y)) #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) y)) x (-.f64 (log.f64 x) (log.f64 y))) x #s(literal 1 binary64)) x) |
(/ (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (* x (+ (* -1 (/ (+ (log x) (log (/ 1 y))) y)) (+ (* 1/6 (pow (+ (log x) (log (/ 1 y))) 3)) (* 1/2 (/ 1 (pow y 2))))))) (/ 1 y))))))) x) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 x) (log.f64 y)) #s(literal 3 binary64)) #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (/.f64 (-.f64 (log.f64 x) (log.f64 y)) y)) x (fma.f64 (pow.f64 (-.f64 (log.f64 x) (log.f64 y)) #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) y))) x (-.f64 (log.f64 x) (log.f64 y))) x #s(literal 1 binary64)) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* x (+ (log x) (log (/ 1 y))))) |
(fma.f64 (-.f64 (log.f64 x) (log.f64 y)) x #s(literal 1 binary64)) |
(+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y))))))) |
(fma.f64 (fma.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 x) (log.f64 y)) #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) y)) x (-.f64 (log.f64 x) (log.f64 y))) x #s(literal 1 binary64)) |
(+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (* x (+ (* -1 (/ (+ (log x) (log (/ 1 y))) y)) (+ (* 1/6 (pow (+ (log x) (log (/ 1 y))) 3)) (* 1/2 (/ 1 (pow y 2))))))) (/ 1 y))))))) |
(fma.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 x) (log.f64 y)) #s(literal 3 binary64)) #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (/.f64 (-.f64 (log.f64 x) (log.f64 y)) y)) x (fma.f64 (pow.f64 (-.f64 (log.f64 x) (log.f64 y)) #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) y))) x (-.f64 (log.f64 x) (log.f64 y))) x #s(literal 1 binary64)) |
(* -1/3 (/ (pow y 3) (pow x 2))) |
(*.f64 (/.f64 #s(literal -1/3 binary64) x) (/.f64 (pow.f64 y #s(literal 3 binary64)) x)) |
(/ (+ (* -1/3 (pow y 3)) (* x (* (pow y 2) (+ 1/2 (* -1/2 y))))) (pow x 2)) |
(/.f64 (fma.f64 (*.f64 (*.f64 y x) y) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/3 binary64))) (*.f64 x x)) |
(/ (+ (* -1/3 (pow y 3)) (* x (+ (* x (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1)))) (* (pow y 2) (+ 1/2 (* -1/2 y)))))) (pow x 2)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) y (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x)) x (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/3 binary64))) (*.f64 x x)) |
(* -1/3 (/ (pow y 2) (pow x 2))) |
(*.f64 (/.f64 #s(literal -1/3 binary64) x) (/.f64 (*.f64 y y) x)) |
(/ (+ (* -1/3 (pow y 2)) (* x (* y (+ 1/2 (* -1/2 y))))) (pow x 2)) |
(/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x (*.f64 (*.f64 y y) #s(literal -1/3 binary64))) (*.f64 x x)) |
(/ (+ (* -1/3 (pow y 2)) (* x (+ (* x (- (* y (+ 1/2 (* -1/6 y))) 1)) (* y (+ 1/2 (* -1/2 y)))))) (pow x 2)) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal -1 binary64)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x (*.f64 (*.f64 y y) #s(literal -1/3 binary64))) (*.f64 x x)) |
(* 1/2 (/ (pow y 2) x)) |
(*.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) |
(/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) x) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x) |
(* 1/2 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 1/2 binary64)) |
(+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) |
(* -1/3 (/ y (pow x 2))) |
(*.f64 (/.f64 y (*.f64 x x)) #s(literal -1/3 binary64)) |
(/ (+ (* -1/3 y) (* x (+ 1/2 (* -1/2 y)))) (pow x 2)) |
(/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) x (*.f64 #s(literal -1/3 binary64) y)) (*.f64 x x)) |
(/ (+ (* -1/3 y) (* x (+ 1/2 (+ (* -1/2 y) (* x (+ 1/2 (* -1/6 y))))))) (pow x 2)) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) x (*.f64 #s(literal -1/3 binary64) y)) (*.f64 x x)) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ 1/3 (pow x 2)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 x x)) |
(/ (+ 1/3 (* 1/2 x)) (pow x 2)) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/3 binary64)) (*.f64 x x)) |
(/ (+ 1/3 (* x (+ 1/2 (* 1/6 x)))) (pow x 2)) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) (*.f64 x x)) |
(/ (exp (* -1 y)) x) |
(/.f64 (exp.f64 (neg.f64 y)) x) |
(/ (+ (exp (* -1 y)) (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) x) |
(/.f64 (fma.f64 (exp.f64 (neg.f64 y)) (*.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 y))) x) |
(/ (+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2)))) x) |
(/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/6 binary64) (*.f64 (pow.f64 (*.f64 y y) #s(literal 2 binary64)) #s(literal 1/8 binary64))) x) (/.f64 (exp.f64 (neg.f64 y)) x) (fma.f64 (exp.f64 (neg.f64 y)) (*.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 y)))) x) |
(/ (+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (+ (/ (* (exp (* -1 y)) (+ (* 1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (+ (* 1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) (pow x 3)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2))))) x) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 y))) (/.f64 (*.f64 y y) x) (fma.f64 (exp.f64 (neg.f64 y)) (+.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal 1/48 binary64) (fma.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 y y)) (*.f64 #s(literal -2 binary64) (pow.f64 y #s(literal 3 binary64))) (*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 30 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -24 binary64))) #s(literal 1/24 binary64)))) (pow.f64 x #s(literal 3 binary64))) (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/6 binary64) (*.f64 (pow.f64 (*.f64 y y) #s(literal 2 binary64)) #s(literal 1/8 binary64))) (*.f64 x x))) (exp.f64 (neg.f64 y)))) x) |
(exp (* -1 y)) |
(exp.f64 (neg.f64 y)) |
(+ (exp (* -1 y)) (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) |
(fma.f64 (exp.f64 (neg.f64 y)) (*.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 y))) |
(+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2)))) |
(fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/6 binary64) (*.f64 (pow.f64 (*.f64 y y) #s(literal 2 binary64)) #s(literal 1/8 binary64))) x) (/.f64 (exp.f64 (neg.f64 y)) x) (fma.f64 (exp.f64 (neg.f64 y)) (*.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 y)))) |
(+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (+ (/ (* (exp (* -1 y)) (+ (* 1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (+ (* 1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) (pow x 3)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2))))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 y))) (/.f64 (*.f64 y y) x) (fma.f64 (exp.f64 (neg.f64 y)) (+.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal 1/48 binary64) (fma.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 y y)) (*.f64 #s(literal -2 binary64) (pow.f64 y #s(literal 3 binary64))) (*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 30 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -24 binary64))) #s(literal 1/24 binary64)))) (pow.f64 x #s(literal 3 binary64))) (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/6 binary64) (*.f64 (pow.f64 (*.f64 y y) #s(literal 2 binary64)) #s(literal 1/8 binary64))) (*.f64 x x))) (exp.f64 (neg.f64 y)))) |
(+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal -1 binary64)) y #s(literal 1 binary64)) |
(+ 1 (+ (* y (- (* y (+ 1/2 (* -1/6 y))) 1)) (/ (* (pow y 2) (+ 1/2 (* -1/2 y))) x))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal -1 binary64)) y (fma.f64 (*.f64 y y) (/.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) x) #s(literal 1 binary64))) |
(+ 1 (+ (* -1/3 (/ (pow y 3) (pow x 2))) (+ (* y (- (* y (+ 1/2 (* -1/6 y))) 1)) (/ (* (pow y 2) (+ 1/2 (* -1/2 y))) x)))) |
(fma.f64 (/.f64 #s(literal -1/3 binary64) x) (/.f64 (pow.f64 y #s(literal 3 binary64)) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal -1 binary64)) y (fma.f64 (*.f64 y y) (/.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) x) #s(literal 1 binary64)))) |
(- (* y (+ 1/2 (* -1/6 y))) 1) |
(fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal -1 binary64)) |
(- (+ (* y (+ 1/2 (* -1/6 y))) (/ (* y (+ 1/2 (* -1/2 y))) x)) 1) |
(fma.f64 y (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) x) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) #s(literal -1 binary64)) |
(- (+ (* -1/3 (/ (pow y 2) (pow x 2))) (+ (* y (+ 1/2 (* -1/6 y))) (/ (* y (+ 1/2 (* -1/2 y))) x))) 1) |
(fma.f64 (/.f64 #s(literal -1/3 binary64) x) (/.f64 (*.f64 y y) x) (fma.f64 y (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) x) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) #s(literal -1 binary64))) |
(+ 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 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1)))) |
(fma.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64))) |
(* x (+ 1 (* y (- (* 1/2 y) 1)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x) |
(* x (+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 y y) x) #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 (* -1/6 y)) |
(fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) |
(+ 1/2 (+ (* -1/2 (/ y x)) (+ (* -1/6 y) (* 1/2 (/ 1 x))))) |
(+.f64 (fma.f64 #s(literal -1/6 binary64) y (/.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) x)) #s(literal 1/2 binary64)) |
(+ 1/2 (+ (* -1/2 (/ y x)) (+ (* -1/3 (/ y (pow x 2))) (+ (* -1/6 y) (* 1/2 (/ 1 x)))))) |
(+.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) x) (/.f64 y x) (fma.f64 #s(literal -1/6 binary64) y (/.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) x))) #s(literal 1/2 binary64)) |
1/6 |
#s(literal 1/6 binary64) |
(+ 1/6 (* 1/2 (/ 1 x))) |
(+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) |
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(*.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x y)) (fma.f64 #s(literal 1/2 binary64) x (/.f64 x (*.f64 y y)))) (*.f64 y y)) |
(* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) |
(*.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) x)) (neg.f64 y)) |
(* y (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (+ (/ 1/2 (* x y)) (* 1/2 (/ 1 y))))) |
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y) (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) x))) y) |
(/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x) |
(/.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) x) |
(+ (* -1 (/ (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x)) |
(fma.f64 (neg.f64 x) (/.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) y) (/.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) x)) |
(+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x y))) (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x)) |
(-.f64 (/.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) x) (/.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) (neg.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))) x))) (*.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) x)) y)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3)))))) (+ (* 1/6 (pow x 6)) (* 1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))))) (* x y))) (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) x)) y)) (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x)) |
(-.f64 (/.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) x) (/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) x) (/.f64 (fma.f64 (/.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) x) (neg.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)) x (pow.f64 x #s(literal 6 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (pow.f64 x #s(literal 3 binary64)))) y)) (*.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64)))) x))) y)) y)) |
(exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) |
(pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) |
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))) y))) |
(fma.f64 (*.f64 (neg.f64 x) x) (/.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) y) (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x))))) |
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) y)) (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y))) |
(-.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) (/.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) (*.f64 x x) (/.f64 (*.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 y))) y)) |
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3)))))) (+ (* 1/6 (pow x 6)) (* 1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))))) y)) (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4))))) y)) (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y))) |
(-.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) (/.f64 (fma.f64 (*.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) x) x (/.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) (neg.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)) x (pow.f64 x #s(literal 6 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (pow.f64 x #s(literal 3 binary64)))) y)) (*.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64)))))) (neg.f64 y))) y)) |
(* -1 (* (pow y 3) (+ 1/6 (+ (* -1 (/ (+ 1/2 (* 1/2 (/ 1 x))) y)) (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))) |
(*.f64 (neg.f64 (+.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y)) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)))) (pow.f64 y #s(literal 3 binary64))) |
(* -1 (* (pow y 3) (+ 1/6 (+ (* -1 (/ (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1 y)) y)) (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))) |
(*.f64 (neg.f64 (pow.f64 y #s(literal 3 binary64))) (+.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) y)) y)) #s(literal 1/6 binary64))) |
(* -1 (* (pow y 3) (+ 1/6 (+ (* -1 (/ (+ 1/2 (+ (* -1 (/ (- 1 (/ 1 y)) y)) (* 1/2 (/ 1 x)))) y)) (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))) |
(*.f64 (neg.f64 (+.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y)) (/.f64 #s(literal 1/2 binary64) x)) y)) #s(literal 1/6 binary64))) (pow.f64 y #s(literal 3 binary64))) |
(* (pow y 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (* -1 (/ (+ (* -1 (+ 1/2 (* 1/2 (/ 1 x)))) (/ 1 y)) y)))) |
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) (neg.f64 y)) (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) x))) (*.f64 y y)) |
(* -1 (* y (- 1 (/ 1 y)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (neg.f64 y)) |
(* (pow y 2) (+ 1/2 (+ (* -1 (/ (- 1 (/ 1 y)) y)) (* 1/2 (/ 1 x))))) |
(*.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y)) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 y y)) |
(* (pow y 2) (+ 1/2 (+ (* -1 (/ (+ x (* -1 (/ x y))) y)) (* 1/2 x)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (-.f64 x (/.f64 x y)) y) #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64))) y) y) |
(* -1 (* y (+ 1/6 (+ (* -1 (/ (+ 1/2 (* 1/2 (/ 1 x))) y)) (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))) |
(*.f64 (+.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y)) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x))) (neg.f64 y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 65 | 617 |
| 0 | 104 | 617 |
| 1 | 471 | 572 |
| 2 | 4061 | 572 |
| 0 | 8171 | 562 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64)) |
(fma.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) |
(-.f64 #s(literal 1 binary64) y) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (*.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64)))) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (*.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64)))) |
#s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (*.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x))) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x))) |
(fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) (*.f64 x x))) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) (*.f64 x x))) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) (*.f64 x x))) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) (*.f64 x x))) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64)) |
#s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) |
(/.f64 (*.f64 y y) x) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) (*.f64 x x)) |
(fma.f64 (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) (*.f64 x x))) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) |
| Outputs |
|---|
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (pow.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64)))) |
(*.f64 (neg.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64)))) (pow.f64 (neg.f64 x) #s(literal -1 binary64))) |
(*.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x)) |
(pow.f64 (/.f64 (/.f64 x #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 x #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64)))) #s(literal -1 binary64)) |
(/.f64 (*.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) #s(literal 1 binary64)) x) |
(/.f64 (neg.f64 (neg.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))))) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64)))) (neg.f64 x)) |
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(+.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 (neg.f64 y) #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (*.f64 (pow.f64 x #s(literal -2 binary64)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x))) y) #s(literal 3 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (neg.f64 y) #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (*.f64 (pow.f64 x #s(literal -2 binary64)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x))) (neg.f64 y))) (pow.f64 (*.f64 (fma.f64 (neg.f64 y) #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (*.f64 (pow.f64 x #s(literal -2 binary64)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x))) y) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (neg.f64 y) #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (*.f64 (pow.f64 x #s(literal -2 binary64)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x))) (neg.f64 y))) (pow.f64 (*.f64 (fma.f64 (neg.f64 y) #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (*.f64 (pow.f64 x #s(literal -2 binary64)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x))) y) #s(literal 2 binary64))))) |
(+.f64 (*.f64 (fma.f64 (neg.f64 y) #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (*.f64 (pow.f64 x #s(literal -2 binary64)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x))) y) #s(literal -1 binary64)) |
(+.f64 #s(literal -1 binary64) (*.f64 (fma.f64 (neg.f64 y) #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (*.f64 (pow.f64 x #s(literal -2 binary64)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x))) y)) |
Compiled 28 146 to 2 601 computations (90.8% saved)
16 alts after pruning (10 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 497 | 7 | 504 |
| Fresh | 3 | 3 | 6 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 2 | 2 |
| Total | 501 | 16 | 517 |
| Status | Accuracy | Program |
|---|---|---|
| 45.6% | (/.f64 (pow.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) x) x) | |
| ✓ | 84.5% | (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) |
| ✓ | 32.5% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) (*.f64 x x))) (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) |
| ▶ | 38.8% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) 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) |
| ✓ | 67.9% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) |
| ▶ | 65.7% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 x) 1/2) y) -1) (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64))) y #s(literal 1 binary64))) x) |
| 29.7% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (+ (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal -1 binary64)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x (*.f64 (*.f64 y y) #s(literal -1/3 binary64))) (*.f64 x x))) y #s(literal 1 binary64))) x) | |
| ✓ | 60.5% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) x) |
| ▶ | 4.4% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (- 1 y) (neg.f64 y))) x) |
| 65.6% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (/.f64 #s(approx (+ (* (+ (* (+ (* 1/2 y) -1) y) 1) x) (* (* y y) 1/2)) (fma.f64 (neg.f64 y) x x)) x))) x) | |
| 13.0% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (/.f64 #s(approx (+ (* (+ (* (+ (* 1/2 y) -1) y) 1) x) (* (* y y) 1/2)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) y) y)) x))) x) | |
| ▶ | 7.7% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (/.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 y y))))) x) |
| ✓ | 7.7% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (*.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64)))) x) |
| ✓ | 76.0% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) |
| ▶ | 7.8% | (/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (*.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64)))))) |
| 52.2% | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) #s(literal 1/2 binary64)) x) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))) |
Compiled 953 to 638 computations (33.1% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) x) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) | |
| cost-diff | 128 | (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) x) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) | |
| cost-diff | 192 | (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) x) | |
| cost-diff | 192 | (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) x) x) | |
| cost-diff | 0 | #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (*.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64))) | |
| cost-diff | 0 | #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (*.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64)))) | |
| cost-diff | 0 | (/.f64 x #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (*.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64))))) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (*.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64)))))) | |
| cost-diff | 0 | (/.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 y y))) | |
| cost-diff | 0 | #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (/.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 y y)))) | |
| cost-diff | 0 | #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (/.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 y y))))) | |
| cost-diff | 0 | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (/.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 y y))))) x) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | #s(approx (- 1 y) (neg.f64 y)) | |
| cost-diff | 0 | #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (- 1 y) (neg.f64 y))) | |
| cost-diff | 0 | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (- 1 y) (neg.f64 y))) x) | |
| cost-diff | 0 | #s(approx (+ (* (+ (/ 1/2 x) 1/2) y) -1) (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64))) | |
| cost-diff | 0 | (fma.f64 #s(approx (+ (* (+ (/ 1/2 x) 1/2) y) -1) (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64))) y #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 x) 1/2) y) -1) (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64))) y #s(literal 1 binary64))) | |
| cost-diff | 0 | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 x) 1/2) y) -1) (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 | 59 | 651 |
| 0 | 89 | 649 |
| 1 | 155 | 615 |
| 2 | 394 | 615 |
| 3 | 1463 | 600 |
| 4 | 6127 | 600 |
| 0 | 8184 | 577 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 x) 1/2) y) -1) (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))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 x) 1/2) y) -1) (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64))) y #s(literal 1 binary64))) |
(fma.f64 #s(approx (+ (* (+ (/ 1/2 x) 1/2) y) -1) (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64))) y #s(literal 1 binary64)) |
#s(approx (+ (* (+ (/ 1/2 x) 1/2) y) -1) (fma.f64 #s(literal 1/2 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))))) #s(approx (- 1 y) (neg.f64 y))) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (- 1 y) (neg.f64 y))) |
#s(approx (- 1 y) (neg.f64 y)) |
(neg.f64 y) |
y |
x |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (/.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 y y))))) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (/.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 y y))))) |
#s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (/.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 y y)))) |
(/.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 y y))) |
#s(literal 1/2 binary64) |
(/.f64 x (*.f64 y y)) |
x |
(*.f64 y y) |
y |
(/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (*.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64)))))) |
#s(literal 1 binary64) |
(/.f64 x #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (*.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64))))) |
x |
#s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (*.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64)))) |
#s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (*.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) |
(/.f64 (*.f64 y y) x) |
(*.f64 y y) |
y |
#s(literal 1/2 binary64) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) x) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) x) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) x) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) x) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) |
(fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) x) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) |
#s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) x) x)) |
(/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) x) x) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) x) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) |
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) |
#s(literal 1/6 binary64) |
x |
#s(literal 1/2 binary64) |
#s(literal 1/3 binary64) |
(neg.f64 y) |
y |
(+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1/2 binary64) x) |
#s(literal -1 binary64) |
#s(literal 1 binary64) |
| Outputs |
|---|
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 x) 1/2) y) -1) (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))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 x) 1/2) y) -1) (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64))) y #s(literal 1 binary64))) |
(fma.f64 #s(approx (+ (* (+ (/ 1/2 x) 1/2) y) -1) (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64))) y #s(literal 1 binary64)) |
#s(approx (+ (* (+ (/ 1/2 x) 1/2) y) -1) (fma.f64 #s(literal 1/2 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))))) #s(approx (- 1 y) (neg.f64 y))) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (- 1 y) (neg.f64 y))) |
#s(approx (- 1 y) (neg.f64 y)) |
(neg.f64 y) |
y |
x |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (/.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 y y))))) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (/.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 y y))))) |
#s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (/.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 y y)))) |
(/.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 y y))) |
#s(literal 1/2 binary64) |
(/.f64 x (*.f64 y y)) |
x |
(*.f64 y y) |
y |
(/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (*.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64)))))) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (/.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 y y))))) x) |
#s(literal 1 binary64) |
(/.f64 x #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (*.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64))))) |
(/.f64 x #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (/.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 y y)))))) |
x |
#s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (*.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64)))) |
#s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (/.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 y y))))) |
#s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (*.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64))) |
#s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (/.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 y y)))) |
(*.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 y y))) |
(/.f64 (*.f64 y y) x) |
(*.f64 y y) |
y |
#s(literal 1/2 binary64) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) 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 (-.f64 (/.f64 #s(literal 1/2 binary64) x) (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x) #s(literal -1/6 binary64))) y #s(literal -1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) x) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) |
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x) #s(literal -1/6 binary64))) y #s(literal -1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) x) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x) #s(literal -1/6 binary64))) y #s(literal -1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) x) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) |
(fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x) #s(literal -1/6 binary64))) y #s(literal -1/2 binary64))) y #s(literal -1 binary64)) |
(fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) x) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) |
(-.f64 (/.f64 #s(literal 1/2 binary64) x) (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x) #s(literal -1/6 binary64))) y #s(literal -1/2 binary64))) |
#s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) x) x)) |
#s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x) #s(literal -1/6 binary64))) |
(/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) x) x) |
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x) #s(literal -1/6 binary64)) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) x) |
(fma.f64 #s(literal 1/6 binary64) x (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) |
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) |
#s(literal 1/6 binary64) |
x |
#s(literal 1/2 binary64) |
#s(literal 1/3 binary64) |
(neg.f64 y) |
y |
(+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) |
(-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) |
(/.f64 #s(literal 1/2 binary64) x) |
#s(literal -1 binary64) |
#s(literal 1 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 1.88091685709421 | (fma.f64 (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) x) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) | |
| accuracy | 3.8640882827699445 | (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) x) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) | |
| accuracy | 11.157191444290673 | (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) x) | |
| accuracy | 14.919973574699252 | #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) x) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) | |
| accuracy | 0.0078125 | (/.f64 x #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (*.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64))))) | |
| accuracy | 4.459376885165965 | (/.f64 (*.f64 y y) x) | |
| accuracy | 14.156726396760844 | #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (*.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64)))) | |
| accuracy | 33.908504320239395 | #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (*.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64))) | |
| accuracy | 0.4571806992366797 | (/.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 y y))) | |
| accuracy | 4.472562548723401 | (/.f64 x (*.f64 y y)) | |
| accuracy | 14.156726396760844 | #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (/.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 y y))))) | |
| accuracy | 33.908504320239395 | #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (/.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 y y)))) | |
| accuracy | 0 | (neg.f64 y) | |
| accuracy | 0.00390625 | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (- 1 y) (neg.f64 y))) x) | |
| accuracy | 10.595296964235017 | #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (- 1 y) (neg.f64 y))) | |
| accuracy | 37.39018031328173 | #s(approx (- 1 y) (neg.f64 y)) | |
| accuracy | 0.00390625 | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 x) 1/2) y) -1) (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64))) y #s(literal 1 binary64))) x) | |
| accuracy | 0.01953125 | (fma.f64 #s(approx (+ (* (+ (/ 1/2 x) 1/2) y) -1) (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64))) y #s(literal 1 binary64)) | |
| accuracy | 14.156726396760844 | #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 x) 1/2) y) -1) (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64))) y #s(literal 1 binary64))) | |
| accuracy | 17.007530278823495 | #s(approx (+ (* (+ (/ 1/2 x) 1/2) y) -1) (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64))) |
| 90.0ms | 79× | 1 | valid |
| 46.0ms | 33× | 1 | exit |
| 46.0ms | 116× | 0 | valid |
| 11.0ms | 28× | 0 | exit |
Compiled 1 006 to 114 computations (88.7% saved)
ival-div: 43.0ms (27.4% of total)adjust: 27.0ms (17.2% of total)ival-mult: 27.0ms (17.2% of total)ival-add: 18.0ms (11.5% of total)ival-log: 17.0ms (10.8% of total)const: 13.0ms (8.3% of total)ival-exp: 5.0ms (3.2% of total)ival-sub: 4.0ms (2.5% of total)exact: 1.0ms (0.6% of total)ival-neg: 1.0ms (0.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 x) 1/2) y) -1) (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))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 x) 1/2) y) -1) (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64))) y #s(literal 1 binary64))) |
(fma.f64 #s(approx (+ (* (+ (/ 1/2 x) 1/2) y) -1) (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64))) y #s(literal 1 binary64)) |
#s(approx (+ (* (+ (/ 1/2 x) 1/2) y) -1) (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64))) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (- 1 y) (neg.f64 y))) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (- 1 y) (neg.f64 y))) |
#s(approx (- 1 y) (neg.f64 y)) |
(neg.f64 y) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (/.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 y y))))) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (/.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 y y))))) |
#s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (/.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 y y)))) |
(/.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 y y))) |
(/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (*.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64)))))) |
(/.f64 x #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (*.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64))))) |
#s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (*.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64)))) |
#s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (*.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64))) |
(/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) x) x) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) x) |
(fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) x) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) 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 x (*.f64 y y)) |
(/.f64 (*.f64 y y) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) x) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) x) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) |
| Outputs |
|---|
(/ 1 x) |
(/ (+ 1 (* x (+ (log x) (log (/ 1 y))))) x) |
(/ (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y))))))) x) |
(/ (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (* x (+ (* -1 (/ (+ (log x) (log (/ 1 y))) y)) (+ (* 1/6 (pow (+ (log x) (log (/ 1 y))) 3)) (* 1/2 (/ 1 (pow y 2))))))) (/ 1 y))))))) x) |
1 |
(+ 1 (* x (+ (log x) (log (/ 1 y))))) |
(+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y))))))) |
(+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (* x (+ (* -1 (/ (+ (log x) (log (/ 1 y))) y)) (+ (* 1/6 (pow (+ (log x) (log (/ 1 y))) 3)) (* 1/2 (/ 1 (pow y 2))))))) (/ 1 y))))))) |
(* 1/2 (/ (pow y 2) x)) |
(/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) x) |
(* 1/2 (/ y x)) |
(/ (+ (* 1/2 y) (* x (- (* 1/2 y) 1))) x) |
x |
(* x (+ 1 (* -1 (* x (+ (log x) (log (/ 1 y))))))) |
(* x (+ 1 (* x (- (* x (- (/ 1 y) (+ (* -1 (pow (+ (log x) (log (/ 1 y))) 2)) (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2))))) (+ (log x) (log (/ 1 y))))))) |
(* x (+ 1 (* x (- (* x (- (+ (* -1 (* x (+ (* -1 (* (+ (log x) (log (/ 1 y))) (- (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y)))) (+ (* -1 (/ (+ (log x) (log (/ 1 y))) y)) (+ (* 1/6 (pow (+ (log x) (log (/ 1 y))) 3)) (+ (* 1/2 (/ 1 (pow y 2))) (* (+ (log x) (log (/ 1 y))) (- (/ 1 y) (+ (* -1 (pow (+ (log x) (log (/ 1 y))) 2)) (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2))))))))))) (/ 1 y)) (+ (* -1 (pow (+ (log x) (log (/ 1 y))) 2)) (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2))))) (+ (log x) (log (/ 1 y))))))) |
(/ 1/3 (pow x 2)) |
(/ (+ 1/3 (* 1/2 x)) (pow x 2)) |
(/ (+ 1/3 (* x (+ 1/2 (* 1/6 x)))) (pow x 2)) |
(/ 1/3 x) |
(/ (+ 1/3 (* 1/2 x)) x) |
(/ (+ 1/3 (* x (+ 1/2 (* 1/6 x)))) x) |
(* -1/3 (/ y (pow x 2))) |
(/ (+ (* -1/3 y) (* x (+ 1/2 (* -1/2 y)))) (pow x 2)) |
(/ (+ (* -1/3 y) (* x (+ 1/2 (+ (* -1/2 y) (* x (+ 1/2 (* -1/6 y))))))) (pow x 2)) |
(/ x (pow y 2)) |
(/ (pow y 2) x) |
(* -1/3 (/ (pow y 2) (pow x 2))) |
(/ (+ (* -1/3 (pow y 2)) (* x (* y (+ 1/2 (* -1/2 y))))) (pow x 2)) |
(/ (+ (* -1/3 (pow y 2)) (* x (+ (* x (- (* y (+ 1/2 (* -1/6 y))) 1)) (* y (+ 1/2 (* -1/2 y)))))) (pow x 2)) |
(/ (exp (* -1 y)) x) |
(/ (+ (exp (* -1 y)) (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) x) |
(/ (+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2)))) x) |
(/ (+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (+ (/ (* (exp (* -1 y)) (+ (* 1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (+ (* 1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) (pow x 3)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2))))) x) |
(exp (* -1 y)) |
(+ (exp (* -1 y)) (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) |
(+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2)))) |
(+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (+ (/ (* (exp (* -1 y)) (+ (* 1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (+ (* 1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) (pow x 3)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2))))) |
(+ 1 (* y (- (* 1/2 y) 1))) |
(+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1)))) |
(- (* 1/2 y) 1) |
(- (+ (* 1/2 y) (* 1/2 (/ y x))) 1) |
(/ x (exp (* -1 y))) |
(* x (+ (* -1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) (* x (exp (* -1 y))))) (/ 1 (exp (* -1 y))))) |
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1/6 |
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(* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) x)) |
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(exp (* x (+ (log x) (log (/ 1 y))))) |
(+ (exp (* x (+ (log x) (log (/ 1 y))))) (* -1 (/ (* (pow x 2) (exp (* x (+ (log x) (log (/ 1 y)))))) y))) |
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(* (pow y 2) (+ 1/2 (* 1/2 (/ 1 x)))) |
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(* (pow y 2) (- (+ 1/2 (+ (* 1/2 (/ 1 x)) (/ 1 (pow y 2)))) (/ 1 y))) |
(* y (+ 1/2 (* 1/2 (/ 1 x)))) |
(* y (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1 y))) |
(* y (- (/ 1 y) 1)) |
(/ x (exp (* x (+ (log x) (log (/ 1 y)))))) |
(+ (/ x (exp (* x (+ (log x) (log (/ 1 y)))))) (/ (pow x 3) (* y (exp (* x (+ (log x) (log (/ 1 y)))))))) |
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(* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) |
(* y (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (+ (/ 1/2 (* x y)) (* 1/2 (/ 1 y))))) |
(* -1 (* (pow y 2) (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) |
(* (pow y 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (+ (/ 1/2 (* x y)) (* 1/2 (/ 1 y))))) |
(* (pow y 2) (- (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (+ (/ 1/2 (* x y)) (* 1/2 (/ 1 y)))) (/ 1 (pow y 2)))) |
(/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x) |
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(exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) |
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))) y))) |
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(* (pow y 2) (+ 1/2 (+ (* -1 (/ (- 1 (/ 1 y)) y)) (* 1/2 (/ 1 x))))) |
(* -1 (* y (+ (* -1 (+ 1/2 (* 1/2 (/ 1 x)))) (/ 1 y)))) |
(* -1 (* y (- 1 (/ 1 y)))) |
(/ x (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))) |
(+ (/ x (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))) (/ (pow x 3) (* y (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))))) |
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(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (pow x 2) (+ (* -1 (/ (pow x 5) (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) (/ (* x (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))))) y)) (+ (* -1 (/ (* (pow x 3) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* y (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))))) (/ (* x (+ (* 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 (/ (pow x 5) (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) (/ (* x (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))))) y)) (/ (pow x 3) (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)) (/ x (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) |
(* -1 (* y (+ 1/6 (+ (* -1 (/ (+ 1/2 (* 1/2 (/ 1 x))) y)) (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))) |
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6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 58.0ms | y | @ | 0 | ((/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (+ (* (+ (/ 1/2 x) 1/2) y) -1) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (- 1 y) (neg y) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (/ 1/2 (/ x (* y y))) (/ 1 (/ x (exp (* x (log (/ x (+ x y))))))) (/ x (exp (* x (log (/ x (+ x y)))))) (exp (* x (log (/ x (+ x y))))) (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (/ (/ (+ (* (+ (* 1/6 x) 1/2) x) 1/3) x) x) (/ (+ (* (+ (* 1/6 x) 1/2) x) 1/3) x) (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (/ (exp (* x (log (/ x (+ x y))))) x) (/ x (* y y)) (/ (* y y) x) (exp (* x (log (/ x (+ x y))))) (+ (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1)) |
| 8.0ms | x | @ | inf | ((/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (+ (* (+ (/ 1/2 x) 1/2) y) -1) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (- 1 y) (neg y) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (/ 1/2 (/ x (* y y))) (/ 1 (/ x (exp (* x (log (/ x (+ x y))))))) (/ x (exp (* x (log (/ x (+ x y)))))) (exp (* x (log (/ x (+ x y))))) (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (/ (/ (+ (* (+ (* 1/6 x) 1/2) x) 1/3) x) x) (/ (+ (* (+ (* 1/6 x) 1/2) x) 1/3) x) (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (/ (exp (* x (log (/ x (+ x y))))) x) (/ x (* y y)) (/ (* y y) x) (exp (* x (log (/ x (+ x y))))) (+ (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1)) |
| 6.0ms | x | @ | -inf | ((/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (+ (* (+ (/ 1/2 x) 1/2) y) -1) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (- 1 y) (neg y) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (/ 1/2 (/ x (* y y))) (/ 1 (/ x (exp (* x (log (/ x (+ x y))))))) (/ x (exp (* x (log (/ x (+ x y)))))) (exp (* x (log (/ x (+ x y))))) (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (/ (/ (+ (* (+ (* 1/6 x) 1/2) x) 1/3) x) x) (/ (+ (* (+ (* 1/6 x) 1/2) x) 1/3) x) (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (/ (exp (* x (log (/ x (+ x y))))) x) (/ x (* y y)) (/ (* y y) x) (exp (* x (log (/ x (+ x y))))) (+ (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1)) |
| 5.0ms | y | @ | inf | ((/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (+ (* (+ (/ 1/2 x) 1/2) y) -1) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (- 1 y) (neg y) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (/ 1/2 (/ x (* y y))) (/ 1 (/ x (exp (* x (log (/ x (+ x y))))))) (/ x (exp (* x (log (/ x (+ x y)))))) (exp (* x (log (/ x (+ x y))))) (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (/ (/ (+ (* (+ (* 1/6 x) 1/2) x) 1/3) x) x) (/ (+ (* (+ (* 1/6 x) 1/2) x) 1/3) x) (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (/ (exp (* x (log (/ x (+ x y))))) x) (/ x (* y y)) (/ (* y y) x) (exp (* x (log (/ x (+ x y))))) (+ (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1)) |
| 4.0ms | y | @ | -inf | ((/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (+ (* (+ (/ 1/2 x) 1/2) y) -1) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (- 1 y) (neg y) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (/ 1/2 (/ x (* y y))) (/ 1 (/ x (exp (* x (log (/ x (+ x y))))))) (/ x (exp (* x (log (/ x (+ x y)))))) (exp (* x (log (/ x (+ x y))))) (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (/ (/ (+ (* (+ (* 1/6 x) 1/2) x) 1/3) x) x) (/ (+ (* (+ (* 1/6 x) 1/2) x) 1/3) x) (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (/ (exp (* x (log (/ x (+ x y))))) x) (/ x (* y y)) (/ (* y y) x) (exp (* x (log (/ x (+ x y))))) (+ (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 657 | 4125 |
| 1 | 2436 | 3636 |
| 0 | 8551 | 3433 |
| 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 |
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(/ (+ (* 1/2 y) (* x (- (* 1/2 y) 1))) x) |
x |
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(/ (+ 1/3 (* 1/2 x)) x) |
(/ (+ 1/3 (* x (+ 1/2 (* 1/6 x)))) x) |
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(/ (+ (* -1/3 y) (* x (+ 1/2 (+ (* -1/2 y) (* x (+ 1/2 (* -1/6 y))))))) (pow x 2)) |
(/ x (pow y 2)) |
(/ (pow y 2) x) |
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(/ (exp (* -1 y)) x) |
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(- (* 1/2 y) 1) |
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(/ x (exp (* -1 y))) |
(* x (+ (* -1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) (* x (exp (* -1 y))))) (/ 1 (exp (* -1 y))))) |
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1/6 |
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(* 1/6 x) |
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(- (* y (+ 1/2 (* -1/6 y))) 1) |
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(+ (/ x (exp (* x (+ (log x) (log (/ 1 y)))))) (/ (pow x 3) (* y (exp (* x (+ (log x) (log (/ 1 y)))))))) |
(- (+ (* -1 (/ (+ (* -1 (/ (pow x 5) (exp (* x (+ (log x) (log (/ 1 y))))))) (/ (* x (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (exp (* x (+ (log x) (log (/ 1 y))))))) (pow y 2))) (/ x (exp (* x (+ (log x) (log (/ 1 y))))))) (* -1 (/ (pow x 3) (* y (exp (* x (+ (log x) (log (/ 1 y))))))))) |
(- (+ (* -1 (/ (+ (* (pow x 2) (+ (* -1 (/ (pow x 5) (exp (* x (+ (log x) (log (/ 1 y))))))) (/ (* x (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (exp (* x (+ (log x) (log (/ 1 y)))))))) (+ (/ (* x (+ (* -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))))))))) (exp (* x (+ (log x) (log (/ 1 y)))))) (/ (* (pow x 3) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (exp (* x (+ (log x) (log (/ 1 y)))))))) (pow y 3))) (/ x (exp (* x (+ (log x) (log (/ 1 y))))))) (+ (* -1 (/ (pow x 3) (* y (exp (* x (+ (log x) (log (/ 1 y)))))))) (+ (* -1 (/ (pow x 5) (* (pow y 2) (exp (* x (+ (log x) (log (/ 1 y)))))))) (/ (* x (+ (* 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 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) |
(* y (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (+ (/ 1/2 (* x y)) (* 1/2 (/ 1 y))))) |
(* -1 (* (pow y 2) (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) |
(* (pow y 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (+ (/ 1/2 (* x y)) (* 1/2 (/ 1 y))))) |
(* (pow y 2) (- (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (+ (/ 1/2 (* x y)) (* 1/2 (/ 1 y)))) (/ 1 (pow y 2)))) |
(/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x) |
(+ (* -1 (/ (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x)) |
(+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x y))) (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3)))))) (+ (* 1/6 (pow x 6)) (* 1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))))) (* x y))) (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) x)) y)) (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x)) |
(exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) |
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))) y))) |
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) y)) (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y))) |
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3)))))) (+ (* 1/6 (pow x 6)) (* 1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))))) y)) (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4))))) y)) (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y))) |
(* (pow y 2) (+ 1/2 (+ (* -1 (/ (- 1 (/ 1 y)) y)) (* 1/2 (/ 1 x))))) |
(* -1 (* y (+ (* -1 (+ 1/2 (* 1/2 (/ 1 x)))) (/ 1 y)))) |
(* -1 (* y (- 1 (/ 1 y)))) |
(/ x (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))) |
(+ (/ x (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))) (/ (pow x 3) (* y (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))))) |
(+ (* -1 (/ (- (+ (* -1 (/ (pow x 5) (* y (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))))) (/ (* x (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* y (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))))) (/ (pow x 3) (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)) (/ x (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) |
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (pow x 2) (+ (* -1 (/ (pow x 5) (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) (/ (* x (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))))) y)) (+ (* -1 (/ (* (pow x 3) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* y (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))))) (/ (* x (+ (* 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 (/ (pow x 5) (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) (/ (* x (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))))) y)) (/ (pow x 3) (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)) (/ x (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) |
(* -1 (* y (+ 1/6 (+ (* -1 (/ (+ 1/2 (* 1/2 (/ 1 x))) y)) (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))) |
(* (pow y 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (* -1 (/ (+ (* -1 (+ 1/2 (* 1/2 (/ 1 x)))) (/ 1 y)) y)))) |
| Outputs |
|---|
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (* x (+ (log x) (log (/ 1 y))))) x) |
(/.f64 (fma.f64 (-.f64 (log.f64 x) (log.f64 y)) x #s(literal 1 binary64)) x) |
(/ (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y))))))) x) |
(/.f64 (fma.f64 (+.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 (neg.f64 (log.f64 y))) (log.f64 x)) x #s(literal 1 binary64)) x) |
(/ (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (* x (+ (* -1 (/ (+ (log x) (log (/ 1 y))) y)) (+ (* 1/6 (pow (+ (log x) (log (/ 1 y))) 3)) (* 1/2 (/ 1 (pow y 2))))))) (/ 1 y))))))) x) |
(/.f64 (fma.f64 (+.f64 (-.f64 (log.f64 x) (log.f64 y)) (*.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 x) (log.f64 y)) #s(literal 2 binary64)) #s(literal 1/2 binary64) (fma.f64 (-.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 x) (log.f64 y)) #s(literal 3 binary64)) #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (/.f64 (-.f64 (log.f64 x) (log.f64 y)) y)) x (/.f64 #s(literal -1 binary64) y))) x)) 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 (+.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 (neg.f64 (log.f64 y))) (log.f64 x)) x #s(literal 1 binary64)) |
(+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (* x (+ (* -1 (/ (+ (log x) (log (/ 1 y))) y)) (+ (* 1/6 (pow (+ (log x) (log (/ 1 y))) 3)) (* 1/2 (/ 1 (pow y 2))))))) (/ 1 y))))))) |
(fma.f64 (+.f64 (-.f64 (log.f64 x) (log.f64 y)) (*.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 x) (log.f64 y)) #s(literal 2 binary64)) #s(literal 1/2 binary64) (fma.f64 (-.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 x) (log.f64 y)) #s(literal 3 binary64)) #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (/.f64 (-.f64 (log.f64 x) (log.f64 y)) y)) x (/.f64 #s(literal -1 binary64) y))) x)) x #s(literal 1 binary64)) |
(* 1/2 (/ (pow y 2) x)) |
(*.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) |
(/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) x) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x) |
(* 1/2 (/ y x)) |
(*.f64 (/.f64 y x) #s(literal 1/2 binary64)) |
(/ (+ (* 1/2 y) (* x (- (* 1/2 y) 1))) x) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x (*.f64 #s(literal 1/2 binary64) y)) x) |
x |
(* x (+ 1 (* -1 (* x (+ (log x) (log (/ 1 y))))))) |
(*.f64 (fma.f64 (neg.f64 x) (-.f64 (log.f64 x) (log.f64 y)) #s(literal 1 binary64)) x) |
(* x (+ 1 (* x (- (* x (- (/ 1 y) (+ (* -1 (pow (+ (log x) (log (/ 1 y))) 2)) (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2))))) (+ (log x) (log (/ 1 y))))))) |
(*.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (pow.f64 (-.f64 (log.f64 x) (log.f64 y)) #s(literal 2 binary64)) #s(literal -1/2 binary64))) x (neg.f64 (-.f64 (log.f64 x) (log.f64 y)))) x #s(literal 1 binary64)) x) |
(* x (+ 1 (* x (- (* x (- (+ (* -1 (* x (+ (* -1 (* (+ (log x) (log (/ 1 y))) (- (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y)))) (+ (* -1 (/ (+ (log x) (log (/ 1 y))) y)) (+ (* 1/6 (pow (+ (log x) (log (/ 1 y))) 3)) (+ (* 1/2 (/ 1 (pow y 2))) (* (+ (log x) (log (/ 1 y))) (- (/ 1 y) (+ (* -1 (pow (+ (log x) (log (/ 1 y))) 2)) (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2))))))))))) (/ 1 y)) (+ (* -1 (pow (+ (log x) (log (/ 1 y))) 2)) (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2))))) (+ (log x) (log (/ 1 y))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 x) (+.f64 (neg.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)) (-.f64 (log.f64 x) (log.f64 y)) (/.f64 (-.f64 (log.f64 x) (log.f64 y)) y))) (fma.f64 (pow.f64 (-.f64 (log.f64 x) (log.f64 y)) #s(literal 3 binary64)) #s(literal 1/6 binary64) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (pow.f64 (-.f64 (log.f64 x) (log.f64 y)) #s(literal 2 binary64)) #s(literal -1/2 binary64))) (-.f64 (log.f64 x) (log.f64 y)) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))))) (-.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (pow.f64 (-.f64 (log.f64 x) (log.f64 y)) #s(literal 2 binary64)) #s(literal -1/2 binary64)))) x (neg.f64 (-.f64 (log.f64 x) (log.f64 y)))) x #s(literal 1 binary64)) x) |
(/ 1/3 (pow x 2)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 x x)) |
(/ (+ 1/3 (* 1/2 x)) (pow x 2)) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/3 binary64)) (*.f64 x x)) |
(/ (+ 1/3 (* x (+ 1/2 (* 1/6 x)))) (pow x 2)) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) (*.f64 x x)) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ (+ 1/3 (* 1/2 x)) x) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/3 binary64)) x) |
(/ (+ 1/3 (* x (+ 1/2 (* 1/6 x)))) x) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) x) |
(* -1/3 (/ y (pow x 2))) |
(*.f64 (/.f64 y (*.f64 x x)) #s(literal -1/3 binary64)) |
(/ (+ (* -1/3 y) (* x (+ 1/2 (* -1/2 y)))) (pow x 2)) |
(/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) x (*.f64 #s(literal -1/3 binary64) y)) (*.f64 x x)) |
(/ (+ (* -1/3 y) (* x (+ 1/2 (+ (* -1/2 y) (* x (+ 1/2 (* -1/6 y))))))) (pow x 2)) |
(/.f64 (fma.f64 (+.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) x (*.f64 #s(literal -1/2 binary64) y)) #s(literal 1/2 binary64)) x (*.f64 #s(literal -1/3 binary64) y)) (*.f64 x x)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(* -1/3 (/ (pow y 2) (pow x 2))) |
(*.f64 (/.f64 #s(literal -1/3 binary64) x) (/.f64 (*.f64 y y) x)) |
(/ (+ (* -1/3 (pow y 2)) (* x (* y (+ 1/2 (* -1/2 y))))) (pow x 2)) |
(/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x (*.f64 (*.f64 y y) #s(literal -1/3 binary64))) (*.f64 x x)) |
(/ (+ (* -1/3 (pow y 2)) (* x (+ (* x (- (* y (+ 1/2 (* -1/6 y))) 1)) (* y (+ 1/2 (* -1/2 y)))))) (pow x 2)) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal -1 binary64)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x (*.f64 (*.f64 y y) #s(literal -1/3 binary64))) (*.f64 x x)) |
(/ (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 (*.f64 y y) x)) #s(literal 1/2 binary64) (exp.f64 (neg.f64 y))) x) |
(/ (+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2)))) x) |
(/.f64 (+.f64 (fma.f64 (*.f64 (exp.f64 (neg.f64 y)) (/.f64 (*.f64 y y) x)) #s(literal 1/2 binary64) (/.f64 (*.f64 (fma.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 4 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -6 binary64))) #s(literal 1/6 binary64) (*.f64 (pow.f64 (*.f64 y y) #s(literal 2 binary64)) #s(literal 1/8 binary64))) (exp.f64 (neg.f64 y))) (*.f64 x x))) (exp.f64 (neg.f64 y))) x) |
(/ (+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (+ (/ (* (exp (* -1 y)) (+ (* 1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (+ (* 1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) (pow x 3)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2))))) x) |
(/.f64 (+.f64 (fma.f64 (*.f64 (exp.f64 (neg.f64 y)) (/.f64 (*.f64 y y) x)) #s(literal 1/2 binary64) (fma.f64 (exp.f64 (neg.f64 y)) (/.f64 (fma.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal 1/48 binary64) (fma.f64 (*.f64 #s(literal 1/12 binary64) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 4 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -6 binary64)))) (*.f64 y y) (*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -24 binary64) (fma.f64 #s(literal -12 binary64) (pow.f64 y #s(literal 4 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 42 binary64)))) #s(literal 1/24 binary64)))) (pow.f64 x #s(literal 3 binary64))) (/.f64 (*.f64 (fma.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 4 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -6 binary64))) #s(literal 1/6 binary64) (*.f64 (pow.f64 (*.f64 y y) #s(literal 2 binary64)) #s(literal 1/8 binary64))) (exp.f64 (neg.f64 y))) (*.f64 x x)))) (exp.f64 (neg.f64 y))) x) |
(exp (* -1 y)) |
(exp.f64 (neg.f64 y)) |
(+ (exp (* -1 y)) (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) |
(fma.f64 (*.f64 (exp.f64 (neg.f64 y)) (/.f64 (*.f64 y y) x)) #s(literal 1/2 binary64) (exp.f64 (neg.f64 y))) |
(+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2)))) |
(+.f64 (fma.f64 (*.f64 (exp.f64 (neg.f64 y)) (/.f64 (*.f64 y y) x)) #s(literal 1/2 binary64) (/.f64 (*.f64 (fma.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 4 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -6 binary64))) #s(literal 1/6 binary64) (*.f64 (pow.f64 (*.f64 y y) #s(literal 2 binary64)) #s(literal 1/8 binary64))) (exp.f64 (neg.f64 y))) (*.f64 x x))) (exp.f64 (neg.f64 y))) |
(+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (+ (/ (* (exp (* -1 y)) (+ (* 1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (+ (* 1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) (pow x 3)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2))))) |
(+.f64 (fma.f64 (*.f64 (exp.f64 (neg.f64 y)) (/.f64 (*.f64 y y) x)) #s(literal 1/2 binary64) (fma.f64 (exp.f64 (neg.f64 y)) (/.f64 (fma.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal 1/48 binary64) (fma.f64 (*.f64 #s(literal 1/12 binary64) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 4 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -6 binary64)))) (*.f64 y y) (*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -24 binary64) (fma.f64 #s(literal -12 binary64) (pow.f64 y #s(literal 4 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 42 binary64)))) #s(literal 1/24 binary64)))) (pow.f64 x #s(literal 3 binary64))) (/.f64 (*.f64 (fma.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 4 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -6 binary64))) #s(literal 1/6 binary64) (*.f64 (pow.f64 (*.f64 y y) #s(literal 2 binary64)) #s(literal 1/8 binary64))) (exp.f64 (neg.f64 y))) (*.f64 x x)))) (exp.f64 (neg.f64 y))) |
(+ 1 (* y (- (* 1/2 y) 1))) |
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(-.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) (/.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) (*.f64 x x) (/.f64 (*.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 y))) y)) |
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3)))))) (+ (* 1/6 (pow x 6)) (* 1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))))) y)) (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4))))) y)) (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y))) |
(-.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) (/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) (*.f64 x x)) (/.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) (neg.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6 binary64))) x) #s(literal 1/6 binary64) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/6 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)) (*.f64 x x)))) y)) (*.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)))))) y)) y)) |
(* (pow y 2) (+ 1/2 (+ (* -1 (/ (- 1 (/ 1 y)) y)) (* 1/2 (/ 1 x))))) |
(*.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y)) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 y y)) |
(* -1 (* y (+ (* -1 (+ 1/2 (* 1/2 (/ 1 x)))) (/ 1 y)))) |
(neg.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) y #s(literal 1 binary64))) |
(* -1 (* y (- 1 (/ 1 y)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (neg.f64 y)) |
(/ x (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))) |
(/.f64 x (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x))))) |
(+ (/ x (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))) (/ (pow x 3) (* y (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))))) |
(/.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) x) (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x))))) |
(+ (* -1 (/ (- (+ (* -1 (/ (pow x 5) (* y (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))))) (/ (* x (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* y (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))))) (/ (pow x 3) (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)) (/ x (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) |
(-.f64 (/.f64 x (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x))))) (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)))) x (neg.f64 (pow.f64 x #s(literal 5 binary64)))) (*.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) y)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))))) y)) |
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (pow x 2) (+ (* -1 (/ (pow x 5) (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) (/ (* x (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))))) y)) (+ (* -1 (/ (* (pow x 3) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* y (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))))) (/ (* x (+ (* 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 (/ (pow x 5) (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) (/ (* x (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))))) y)) (/ (pow x 3) (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)) (/ x (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) |
(-.f64 (/.f64 x (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x))))) (/.f64 (-.f64 (/.f64 (-.f64 (fma.f64 (*.f64 x x) (neg.f64 (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)))) x (neg.f64 (pow.f64 x #s(literal 5 binary64)))) (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x))))) y)) (/.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6 binary64))) x) #s(literal 1/6 binary64) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/6 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)) (*.f64 x x)))) x (neg.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) y))) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)))) x (neg.f64 (pow.f64 x #s(literal 5 binary64)))) (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))))) (neg.f64 y)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))))) y)) |
(* -1 (* y (+ 1/6 (+ (* -1 (/ (+ 1/2 (* 1/2 (/ 1 x))) y)) (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))) |
(*.f64 (+.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))) (neg.f64 y)) |
(* (pow y 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (* -1 (/ (+ (* -1 (+ 1/2 (* 1/2 (/ 1 x)))) (/ 1 y)) y)))) |
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) (neg.f64 y)) (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) x))) (*.f64 y y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 59 | 532 |
| 0 | 89 | 530 |
| 1 | 404 | 500 |
| 2 | 3260 | 500 |
| 0 | 8780 | 482 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 x) 1/2) y) -1) (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))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 x) 1/2) y) -1) (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64))) y #s(literal 1 binary64))) |
(fma.f64 #s(approx (+ (* (+ (/ 1/2 x) 1/2) y) -1) (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64))) y #s(literal 1 binary64)) |
#s(approx (+ (* (+ (/ 1/2 x) 1/2) y) -1) (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64))) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (- 1 y) (neg.f64 y))) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (- 1 y) (neg.f64 y))) |
#s(approx (- 1 y) (neg.f64 y)) |
(neg.f64 y) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (/.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 y y))))) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (/.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 y y))))) |
#s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (/.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 y y)))) |
(/.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 y y))) |
(/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (*.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64)))))) |
(/.f64 x #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (*.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64))))) |
#s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (*.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64)))) |
#s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (*.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64))) |
(/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) x) x) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) x) |
(fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) x) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) 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 x (*.f64 y y)) |
(/.f64 (*.f64 y y) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) x) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) x) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) |
| Outputs |
|---|
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (pow.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 x) 1/2) y) -1) (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)) #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 x) 1/2) y) -1) (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64))) y #s(literal 1 binary64)))) |
(*.f64 (neg.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 x) 1/2) y) -1) (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64))) y #s(literal 1 binary64)))) (pow.f64 (neg.f64 x) #s(literal -1 binary64))) |
(*.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 x) 1/2) y) -1) (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 #s(literal 1 binary64) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 x) 1/2) y) -1) (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64))) y #s(literal 1 binary64))) x)) |
(pow.f64 (/.f64 (/.f64 x #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 x) 1/2) y) -1) (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 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 x) 1/2) y) -1) (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 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 x) 1/2) y) -1) (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64))) 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))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 x) 1/2) y) -1) (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64))) y #s(literal 1 binary64)))))) (neg.f64 (neg.f64 (neg.f64 x)))) |
(/.f64 (*.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 x) 1/2) y) -1) (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64))) y #s(literal 1 binary64))) #s(literal 1 binary64)) x) |
(/.f64 (neg.f64 (neg.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 x) 1/2) y) -1) (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64))) y #s(literal 1 binary64))))) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 x) 1/2) y) -1) (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64))) y #s(literal 1 binary64)))) (neg.f64 x)) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 x) 1/2) y) -1) (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64))) y #s(literal 1 binary64))) x) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 x #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 x) 1/2) y) -1) (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64))) y #s(literal 1 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 x) 1/2) y) -1) (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64))) y #s(literal 1 binary64)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 x) 1/2) y) -1) (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64))) y #s(literal 1 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 x #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 x) 1/2) y) -1) (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64))) y #s(literal 1 binary64)))) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 x) 1/2) y) -1) (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64))) y #s(literal 1 binary64)))))) |
(neg.f64 (/.f64 (neg.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 x) 1/2) y) -1) (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64))) y #s(literal 1 binary64)))) x)) |
(neg.f64 (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 x) 1/2) y) -1) (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64))) y #s(literal 1 binary64))) (neg.f64 x))) |
(exp.f64 (*.f64 (log.f64 (/.f64 x #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 x) 1/2) y) -1) (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64))) y #s(literal 1 binary64))))) #s(literal -1 binary64))) |
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 x) 1/2) y) -1) (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64))) y #s(literal 1 binary64))) |
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(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) x) x)) (neg.f64 y) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x))) y) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) x) x)) (neg.f64 y) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x))) (neg.f64 y))) (pow.f64 (*.f64 (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) x) x)) (neg.f64 y) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x))) y) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) x) x)) (neg.f64 y) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x))) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) x) x)) (neg.f64 y) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x))) y #s(literal 1 binary64))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) x) x)) (neg.f64 y) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x))) y) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) x) x)) (neg.f64 y) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x))) y) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) x) x)) (neg.f64 y) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x))) (neg.f64 y))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) x) x)) (neg.f64 y) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x))) y) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) x) x)) (neg.f64 y) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x))) (neg.f64 y))) (pow.f64 (*.f64 (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) x) x)) (neg.f64 y) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x))) y) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) x) x)) (neg.f64 y) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x))) y #s(literal 1 binary64)) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) x) x)) (neg.f64 y) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x))) y) #s(literal 2 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) x) x)) (neg.f64 y) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x))) (neg.f64 y))) (pow.f64 (*.f64 (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) x) x)) (neg.f64 y) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x))) y) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) x) x)) (neg.f64 y) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x))) y) #s(literal 3 binary64)) #s(literal -1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) x) x)) (neg.f64 y) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x))) y #s(literal 1 binary64)) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) x) x)) (neg.f64 y) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x))) y) #s(literal 2 binary64)) #s(literal 1 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) x) x)) (neg.f64 y) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x))) (neg.f64 y))) (pow.f64 (*.f64 (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) x) x)) (neg.f64 y) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x))) y) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) x) x)) (neg.f64 y) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x))) y) #s(literal 3 binary64)) #s(literal -1 binary64))))) |
(fma.f64 (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) x) x)) (neg.f64 y) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x))) y #s(literal -1 binary64)) |
(fma.f64 y (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) x) x)) (neg.f64 y) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x))) #s(literal -1 binary64)) |
(-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) x) x)) (neg.f64 y) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x))) y) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) x) x)) (neg.f64 y) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x))) y #s(literal 1 binary64))) (pow.f64 (fma.f64 (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) x) x)) (neg.f64 y) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x))) y #s(literal 1 binary64)) #s(literal -1 binary64))) |
(-.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) x) x)) (neg.f64 y) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x)))) y)) |
(-.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) x) x)) (neg.f64 y) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) x) x)) (neg.f64 y) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x))) y) #s(literal 3 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) x) x)) (neg.f64 y) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x))) (neg.f64 y))) (pow.f64 (*.f64 (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) x) x)) (neg.f64 y) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x))) y) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) x) x)) (neg.f64 y) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x))) (neg.f64 y))) (pow.f64 (*.f64 (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) x) x)) (neg.f64 y) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x))) y) #s(literal 2 binary64))))) |
(+.f64 (*.f64 (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) x) x)) (neg.f64 y) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x))) y) #s(literal -1 binary64)) |
(+.f64 #s(literal -1 binary64) (*.f64 (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) x) x)) (neg.f64 y) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x))) y)) |
Compiled 30 131 to 3 197 computations (89.4% saved)
16 alts after pruning (7 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 598 | 2 | 600 |
| Fresh | 0 | 5 | 5 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 6 | 6 |
| Total | 600 | 16 | 616 |
| Status | Accuracy | Program |
|---|---|---|
| 45.6% | (/.f64 (pow.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) x) x) | |
| ✓ | 84.5% | (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) |
| ✓ | 32.5% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) (*.f64 x x))) (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) |
| ✓ | 38.8% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) 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) |
| ✓ | 67.9% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) |
| ✓ | 65.7% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 x) 1/2) y) -1) (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64))) y #s(literal 1 binary64))) x) |
| 29.7% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (+ (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal -1 binary64)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x (*.f64 (*.f64 y y) #s(literal -1/3 binary64))) (*.f64 x x))) y #s(literal 1 binary64))) x) | |
| ✓ | 60.5% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) x) |
| ✓ | 4.4% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (- 1 y) (neg.f64 y))) x) |
| 65.6% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (/.f64 #s(approx (+ (* (+ (* (+ (* 1/2 y) -1) y) 1) x) (* (* y y) 1/2)) (fma.f64 (neg.f64 y) x x)) x))) x) | |
| 13.0% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (/.f64 #s(approx (+ (* (+ (* (+ (* 1/2 y) -1) y) 1) x) (* (* y y) 1/2)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) y) y)) x))) x) | |
| ✓ | 7.7% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (*.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64)))) x) |
| ✓ | 76.0% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) |
| 64.6% | (/.f64 #s(literal 1 binary64) #s(approx (/ x (exp (* x (log (/ x (+ x y)))))) (fma.f64 (fma.f64 (fma.f64 (neg.f64 x) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x) y x) y x))) | |
| 68.2% | (/.f64 #s(literal 1 binary64) #s(approx (/ x (exp (* x (log (/ x (+ x y)))))) (fma.f64 y x x))) | |
| 52.2% | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) #s(literal 1/2 binary64)) x) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))) |
Compiled 1 401 to 562 computations (59.9% saved)
| Inputs |
|---|
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (- 1 y) (neg.f64 y))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) x) |
(/.f64 #s(literal 1 binary64) #s(approx (/ x (exp (* x (log (/ x (+ x y)))))) (fma.f64 y x x))) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 x) 1/2) y) -1) (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))))) (fma.f64 (fma.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (/.f64 #s(approx (+ (* (+ (* (+ (* 1/2 y) -1) y) 1) x) (* (* y y) 1/2)) (fma.f64 (neg.f64 y) x x)) x))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (*.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64)))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (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) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (/.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 y y))))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (/.f64 #s(approx (+ (* (+ (* (+ (* 1/2 y) -1) y) 1) x) (* (* y y) 1/2)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) y) y)) x))) x) |
(/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (*.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64)))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ x (exp (* x (log (/ x (+ x y)))))) (fma.f64 (fma.f64 (fma.f64 (neg.f64 x) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x) y x) y x))) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 x) 1/2) y) -1) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x (*.f64 #s(literal 1/2 binary64) y)) x)) y #s(literal 1 binary64))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x))) x) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal -1/2 binary64) x)) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) (*.f64 x x))) (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 #s(approx (+ (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal -1 binary64)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x (*.f64 #s(literal -1/3 binary64) (*.f64 y y))) (*.f64 x x))) y #s(literal 1 binary64))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (+ (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal -1 binary64)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x (*.f64 (*.f64 y y) #s(literal -1/3 binary64))) (*.f64 x x))) y #s(literal 1 binary64))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) x) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) #s(literal 1/2 binary64)) x) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))) |
(/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) |
(/.f64 (pow.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) x) x) |
(/.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) x) |
(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) |
| Outputs |
|---|
(/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) |
(/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) |
3 calls:
| 46.0ms | (/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) |
| 8.0ms | x |
| 7.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 3 | x |
| 89.0% | 3 | y |
| 92.5% | 3 | (/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) |
Compiled 13 to 12 computations (7.7% saved)
| Inputs |
|---|
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (- 1 y) (neg.f64 y))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) x) |
(/.f64 #s(literal 1 binary64) #s(approx (/ x (exp (* x (log (/ x (+ x y)))))) (fma.f64 y x x))) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 x) 1/2) y) -1) (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))))) (fma.f64 (fma.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (/.f64 #s(approx (+ (* (+ (* (+ (* 1/2 y) -1) y) 1) x) (* (* y y) 1/2)) (fma.f64 (neg.f64 y) x x)) x))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (*.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64)))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (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) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (/.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 y y))))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (/.f64 #s(approx (+ (* (+ (* (+ (* 1/2 y) -1) y) 1) x) (* (* y y) 1/2)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) y) y)) x))) x) |
(/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (*.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64)))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ x (exp (* x (log (/ x (+ x y)))))) (fma.f64 (fma.f64 (fma.f64 (neg.f64 x) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x) y x) y x))) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 x) 1/2) y) -1) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x (*.f64 #s(literal 1/2 binary64) y)) x)) y #s(literal 1 binary64))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x))) x) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal -1/2 binary64) x)) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) (*.f64 x x))) (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 #s(approx (+ (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal -1 binary64)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x (*.f64 #s(literal -1/3 binary64) (*.f64 y y))) (*.f64 x x))) y #s(literal 1 binary64))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (+ (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal -1 binary64)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x (*.f64 (*.f64 y y) #s(literal -1/3 binary64))) (*.f64 x x))) y #s(literal 1 binary64))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 (fma.f64 #s(approx (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) x) x)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) #s(literal 1/2 binary64)) x) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))) |
| Outputs |
|---|
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) |
(/.f64 #s(literal 1 binary64) #s(approx (/ x (exp (* x (log (/ x (+ x y)))))) (fma.f64 (fma.f64 (fma.f64 (neg.f64 x) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x) y x) y x))) |
2 calls:
| 6.0ms | x |
| 6.0ms | (/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 83.8% | 4 | (/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) |
| 89.5% | 3 | x |
Compiled 12 to 10 computations (16.7% saved)
| Inputs |
|---|
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (- 1 y) (neg.f64 y))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) x) |
(/.f64 #s(literal 1 binary64) #s(approx (/ x (exp (* x (log (/ x (+ x y)))))) (fma.f64 y x x))) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 x) 1/2) y) -1) (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))))) (fma.f64 (fma.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (/.f64 #s(approx (+ (* (+ (* (+ (* 1/2 y) -1) y) 1) x) (* (* y y) 1/2)) (fma.f64 (neg.f64 y) x x)) x))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (*.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64)))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (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) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (/.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 y y))))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (/.f64 #s(approx (+ (* (+ (* (+ (* 1/2 y) -1) y) 1) x) (* (* y y) 1/2)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) y) y)) x))) x) |
(/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (*.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64)))))) |
| Outputs |
|---|
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) |
(/.f64 #s(literal 1 binary64) #s(approx (/ x (exp (* x (log (/ x (+ x y)))))) (fma.f64 y x x))) |
2 calls:
| 25.0ms | y |
| 4.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.7% | 3 | y |
| 87.7% | 3 | x |
Compiled 2 to 4 computations (-100% saved)
| Inputs |
|---|
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (- 1 y) (neg.f64 y))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) x) |
(/.f64 #s(literal 1 binary64) #s(approx (/ x (exp (* x (log (/ x (+ x y)))))) (fma.f64 y x x))) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 x) 1/2) y) -1) (fma.f64 #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 #s(approx (+ (* (+ (/ 1/2 x) 1/2) y) -1) (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64))) y #s(literal 1 binary64))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) |
(/.f64 #s(literal 1 binary64) #s(approx (/ x (exp (* x (log (/ x (+ x y)))))) (fma.f64 y x x))) |
1 calls:
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.8% | 3 | x |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (- 1 y) (neg.f64 y))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) x) |
(/.f64 #s(literal 1 binary64) #s(approx (/ x (exp (* x (log (/ x (+ x y)))))) (fma.f64 y x x))) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) #s(approx (/ x (exp (* x (log (/ x (+ x y)))))) (fma.f64 y x x))) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) |
(/.f64 #s(literal 1 binary64) #s(approx (/ x (exp (* x (log (/ x (+ x y)))))) (fma.f64 y x x))) |
1 calls:
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 83.8% | 3 | x |
Compiled 1 to 2 computations (-100% saved)
Total -45.9b remaining (-298.9%)
Threshold costs -45.9b (-298.9%)
| Inputs |
|---|
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (- 1 y) (neg.f64 y))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) x) |
| Outputs |
|---|
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) |
3 calls:
| 2.0ms | x |
| 2.0ms | (/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) |
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 76.0% | 1 | y |
| 76.0% | 1 | (/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) |
| 76.0% | 1 | x |
Compiled 13 to 12 computations (7.7% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 21.0ms | 4.622412951665504e-11 | 0.06194768408060662 |
| 21.0ms | -67.42875624689944 | -5.746173565222419e-8 |
| 21.0ms | 288× | 0 | valid |
| 6.0ms | 78× | 0 | invalid |
Compiled 500 to 409 computations (18.2% saved)
ival-div: 6.0ms (32.7% of total)ival-log: 5.0ms (27.3% of total)ival-exp: 3.0ms (16.4% of total)ival-add: 2.0ms (10.9% of total)ival-mult: 2.0ms (10.9% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 4.622412951665504e-11 | 0.06194768408060662 |
| 8.0ms | -67.42875624689944 | -5.746173565222419e-8 |
| 3.0ms | 32× | 0 | valid |
| 1.0ms | 9× | 0 | invalid |
Compiled 896 to 670 computations (25.2% saved)
ival-div: 1.0ms (50.4% of total)ival-log: 1.0ms (50.4% of total)ival-true: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)ival-exp: 0.0ms (0% of total)ival-mult: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 4.622412951665504e-11 | 0.06194768408060662 |
| 2.0ms | -67.42875624689944 | -5.746173565222419e-8 |
Compiled 797 to 616 computations (22.7% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 4.622412951665504e-11 | 0.06194768408060662 |
| 1.0ms | -67.42875624689944 | -5.746173565222419e-8 |
Compiled 671 to 526 computations (21.6% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 4.622412951665504e-11 | 0.06194768408060662 |
| 34.0ms | -2.491554403456776e+92 | -3.771429537400807e+88 |
| 23.0ms | 99× | 1 | valid |
| 3.0ms | 21× | 0 | invalid |
| 2.0ms | 29× | 0 | valid |
Compiled 541 to 421 computations (22.2% saved)
ival-log: 10.0ms (45.9% of total)ival-div: 4.0ms (18.3% of total)ival-exp: 3.0ms (13.8% of total)ival-mult: 2.0ms (9.2% of total)adjust: 1.0ms (4.6% of total)ival-add: 1.0ms (4.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 71 | 362 |
| 1 | 79 | 362 |
| 2 | 83 | 362 |
| 3 | 94 | 362 |
| 4 | 121 | 362 |
| 5 | 142 | 362 |
| 6 | 166 | 362 |
| 7 | 210 | 362 |
| 8 | 272 | 362 |
| 9 | 344 | 362 |
| 10 | 407 | 362 |
| 11 | 439 | 362 |
| 12 | 443 | 362 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 x #s(literal -8286623314361713/9007199254740992 binary64)) (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) (if (<=.f64 x #s(literal 8358680908399641/144115188075855872 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 -3/4 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) (if (<=.f64 x #s(literal 8358680908399641/144115188075855872 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) #s(approx (/ x (exp (* x (log (/ x (+ x y)))))) (fma.f64 (fma.f64 (fma.f64 (neg.f64 x) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x) y x) y x))))) |
(if (<=.f64 x #s(literal -3/4 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) (if (<=.f64 x #s(literal 8358680908399641/144115188075855872 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) #s(approx (/ x (exp (* x (log (/ x (+ x y)))))) (fma.f64 y x x))))) |
(if (<=.f64 x #s(literal -3/4 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 x) 1/2) y) -1) (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64))) y #s(literal 1 binary64))) x) (if (<=.f64 x #s(literal 8358680908399641/144115188075855872 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) #s(approx (/ x (exp (* x (log (/ x (+ x y)))))) (fma.f64 y x x))))) |
(if (<=.f64 x #s(literal -11999999999999999145496504002300412224578072921254365983920217567551703786117363237327470592 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (/ x (exp (* x (log (/ x (+ x y)))))) (fma.f64 y x x))) (if (<=.f64 x #s(literal 8358680908399641/144115188075855872 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) #s(approx (/ x (exp (* x (log (/ x (+ x y)))))) (fma.f64 y x x))))) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) |
| Outputs |
|---|
(if (<=.f64 x #s(literal -8286623314361713/9007199254740992 binary64)) (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) (if (<=.f64 x #s(literal 8358680908399641/144115188075855872 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 -3/4 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) (if (<=.f64 x #s(literal 8358680908399641/144115188075855872 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) #s(approx (/ x (exp (* x (log (/ x (+ x y)))))) (fma.f64 (fma.f64 (fma.f64 (neg.f64 x) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x) y x) y x))))) |
(if (<=.f64 x #s(literal -3/4 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) (if (<=.f64 x #s(literal 8358680908399641/144115188075855872 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) #s(approx (/ x (exp (* x (log (/ x (+ x y)))))) (fma.f64 y x x))))) |
(if (<=.f64 x #s(literal -3/4 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 x) 1/2) y) -1) (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64))) y #s(literal 1 binary64))) x) (if (<=.f64 x #s(literal 8358680908399641/144115188075855872 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) #s(approx (/ x (exp (* x (log (/ x (+ x y)))))) (fma.f64 y x x))))) |
(if (<=.f64 x #s(literal -11999999999999999145496504002300412224578072921254365983920217567551703786117363237327470592 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (/ x (exp (* x (log (/ x (+ x y)))))) (fma.f64 y x x))) (if (<=.f64 x #s(literal 8358680908399641/144115188075855872 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) #s(approx (/ x (exp (* x (log (/ x (+ x y)))))) (fma.f64 y x x))))) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 65 | 617 |
| 0 | 104 | 617 |
| 1 | 471 | 572 |
| 2 | 4061 | 572 |
| 0 | 8171 | 562 |
| 0 | 657 | 4125 |
| 1 | 2436 | 3636 |
| 0 | 8551 | 3433 |
| 0 | 672 | 3754 |
| 1 | 2461 | 3289 |
| 0 | 8482 | 3120 |
| 0 | 554 | 3082 |
| 1 | 1980 | 2562 |
| 0 | 8474 | 2439 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 740 to 291 computations (60.7% saved)
Compiled 834 to 204 computations (75.5% saved)
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