
Time bar (total: 9.0s)
| 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 | 3 730× | 1 | valid |
| 496.0ms | 4 526× | 0 | valid |
| 18.0ms | 239× | 0 | invalid |
ival-log: 570.0ms (46.6% of total)ival-div: 243.0ms (19.9% of total)ival-add: 145.0ms (11.9% of total)ival-exp: 112.0ms (9.2% of total)ival-mult: 83.0ms (6.8% of total)adjust: 59.0ms (4.8% of total)ival-true: 7.0ms (0.6% of total)ival-assert: 4.0ms (0.3% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 151 | 39 | (-1.6271642422264517e+250 1.284097025737933e-74) | 10 | (-1.1913346750968293e-265 -2.647101278949488e+54) | (log.f64 (/.f64 x (+.f64 x y))) |
| 47 | 0 | - | 47 | (6.587767508758751e+307 5.675162383730044e-106) | (*.f64 x (log.f64 (/.f64 x (+.f64 x y)))) |
| 0 | 0 | - | 0 | - | (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) |
| 0 | 0 | - | 0 | - | (/.f64 x (+.f64 x y)) |
| 0 | 0 | - | 0 | - | (+.f64 x y) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
log.f64 | (log.f64 (/.f64 x (+.f64 x y))) | sensitivity | 160 | 0 |
log.f64 | (log.f64 (/.f64 x (+.f64 x y))) | uflow-rescue | 20 | 0 |
| ↳ | (log.f64 (/.f64 x (+.f64 x y))) | underflow | 39 | |
| ↳ | (/.f64 x (+.f64 x y)) | underflow | 20 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 57 | 1 |
| - | 123 | 75 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 57 | 0 | 1 |
| - | 123 | 0 | 75 |
| number | freq |
|---|---|
| 0 | 76 |
| 1 | 180 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 52.0ms | 117× | 1 | valid |
| 18.0ms | 44× | 2 | valid |
| 7.0ms | 95× | 0 | valid |
Compiled 145 to 34 computations (76.6% saved)
ival-log: 23.0ms (55.4% of total)ival-div: 7.0ms (16.8% of total)ival-add: 3.0ms (7.2% of total)adjust: 3.0ms (7.2% of total)ival-exp: 3.0ms (7.2% of total)ival-mult: 3.0ms (7.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 65 |
| 1 | 60 | 51 |
| 2 | 125 | 49 |
| 3 | 333 | 49 |
| 4 | 702 | 49 |
| 5 | 1140 | 47 |
| 6 | 1569 | 47 |
| 7 | 2227 | 47 |
| 8 | 2558 | 47 |
| 9 | 2721 | 47 |
| 10 | 2951 | 47 |
| 11 | 3125 | 47 |
| 12 | 3254 | 47 |
| 13 | 3295 | 47 |
| 14 | 3295 | 47 |
| 15 | 3299 | 47 |
| 0 | 8 | 11 |
| 0 | 14 | 11 |
| 1 | 18 | 9 |
| 2 | 21 | 9 |
| 3 | 21 | 9 |
| 0 | 21 | 9 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) |
| Outputs |
|---|
(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) |
(/.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) x) |
Compiled 11 to 8 computations (27.3% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 78.8% | (/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) |
Compiled 11 to 8 computations (27.3% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (log.f64 (/.f64 x (+.f64 x y))) | |
| cost-diff | 0 | (*.f64 x (log.f64 (/.f64 x (+.f64 x y)))) | |
| cost-diff | 0 | (/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) | |
| cost-diff | 6656 | (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 44 |
| 0 | 14 | 44 |
| 1 | 18 | 40 |
| 2 | 21 | 40 |
| 3 | 21 | 40 |
| 0 | 21 | 40 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) |
(exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) |
(*.f64 x (log.f64 (/.f64 x (+.f64 x y)))) |
x |
(log.f64 (/.f64 x (+.f64 x y))) |
(/.f64 x (+.f64 x y)) |
(+.f64 x y) |
y |
| Outputs |
|---|
(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) |
(/.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) x) |
(exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) |
(pow.f64 (/.f64 x (+.f64 y x)) x) |
(*.f64 x (log.f64 (/.f64 x (+.f64 x y)))) |
(*.f64 (log.f64 (/.f64 x (+.f64 y x))) x) |
x |
(log.f64 (/.f64 x (+.f64 x y))) |
(log.f64 (/.f64 x (+.f64 y x))) |
(/.f64 x (+.f64 x y)) |
(/.f64 x (+.f64 y x)) |
(+.f64 x y) |
(+.f64 y x) |
y |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.00390625 | (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) | |
| accuracy | 0.0078125 | (/.f64 x (+.f64 x y)) | |
| accuracy | 10.167649256951954 | (*.f64 x (log.f64 (/.f64 x (+.f64 x y)))) | |
| accuracy | 33.58299027957079 | (log.f64 (/.f64 x (+.f64 x y))) |
| 59.0ms | 117× | 1 | valid |
| 44.0ms | 44× | 2 | valid |
| 7.0ms | 95× | 0 | valid |
Compiled 90 to 18 computations (80% saved)
ival-log: 54.0ms (56% of total)adjust: 25.0ms (25.9% of total)ival-div: 7.0ms (7.3% of total)ival-add: 3.0ms (3.1% of total)ival-exp: 3.0ms (3.1% of total)ival-mult: 3.0ms (3.1% 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 | |
|---|---|---|---|---|
| 25.0ms | y | @ | inf | ((exp (* x (log (/ x (+ x y))))) (/ (exp (* x (log (/ x (+ x y))))) x) (* x (log (/ x (+ x y)))) (log (/ x (+ x y))) (/ x (+ x y))) |
| 4.0ms | x | @ | inf | ((exp (* x (log (/ x (+ x y))))) (/ (exp (* x (log (/ x (+ x y))))) x) (* x (log (/ x (+ x y)))) (log (/ x (+ x y))) (/ x (+ x y))) |
| 4.0ms | x | @ | -inf | ((exp (* x (log (/ x (+ x y))))) (/ (exp (* x (log (/ x (+ x y))))) x) (* x (log (/ x (+ x y)))) (log (/ x (+ x y))) (/ x (+ x y))) |
| 2.0ms | y | @ | 0 | ((exp (* x (log (/ x (+ x y))))) (/ (exp (* x (log (/ x (+ x y))))) x) (* x (log (/ x (+ x y)))) (log (/ x (+ x y))) (/ x (+ x y))) |
| 2.0ms | y | @ | -inf | ((exp (* x (log (/ x (+ x y))))) (/ (exp (* x (log (/ x (+ x y))))) x) (* x (log (/ x (+ x y)))) (log (/ x (+ x y))) (/ x (+ x y))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 554 | 3081 |
| 1 | 1674 | 2567 |
| 2 | 5691 | 2486 |
| 0 | 8305 | 2358 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (* x (+ (log x) (log (/ 1 y))))) |
(+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y))))))) |
(+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (* x (+ (* -1 (/ (+ (log x) (log (/ 1 y))) y)) (+ (* 1/6 (pow (+ (log x) (log (/ 1 y))) 3)) (* 1/2 (/ 1 (pow y 2))))))) (/ 1 y))))))) |
(/ 1 x) |
(/ (+ 1 (* x (+ (log x) (log (/ 1 y))))) x) |
(/ (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y))))))) x) |
(/ (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (* x (+ (* -1 (/ (+ (log x) (log (/ 1 y))) y)) (+ (* 1/6 (pow (+ (log x) (log (/ 1 y))) 3)) (* 1/2 (/ 1 (pow y 2))))))) (/ 1 y))))))) x) |
(* x (+ (log x) (log (/ 1 y)))) |
(* x (+ (log x) (+ (log (/ 1 y)) (* -1 (/ x y))))) |
(* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (/ x (pow y 2))) (/ 1 y)))))) |
(* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* x (+ (* -1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y)))))) |
(+ (log x) (log (/ 1 y))) |
(+ (log x) (+ (log (/ 1 y)) (* -1 (/ x y)))) |
(+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (/ x (pow y 2))) (/ 1 y))))) |
(+ (log x) (+ (log (/ 1 y)) (* x (- (* x (+ (* -1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))))) |
(/ x y) |
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y))) |
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y))) |
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))) |
(exp (* -1 y)) |
(+ (exp (* -1 y)) (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) |
(+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2)))) |
(+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (+ (/ (* (exp (* -1 y)) (+ (* 1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (+ (* 1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) (pow x 3)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2))))) |
(/ (exp (* -1 y)) x) |
(/ (+ (exp (* -1 y)) (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) x) |
(/ (+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2)))) x) |
(/ (+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (+ (/ (* (exp (* -1 y)) (+ (* 1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (+ (* 1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) (pow x 3)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2))))) x) |
(* -1 y) |
(+ (* -1 y) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) x))) |
(+ (* -1 y) (+ (* 1/6 (/ (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (pow x 2))) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) x)))) |
(+ (* -1 y) (+ (* 1/24 (/ (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4))))) (pow x 3))) (+ (* 1/6 (/ (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (pow x 2))) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) x))))) |
(* -1 (/ y x)) |
(/ (+ (* -1 y) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) x))) x) |
(/ (+ (* -1 y) (+ (* 1/6 (/ (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (pow x 2))) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) x)))) x) |
(/ (+ (* -1 y) (+ (* 1/24 (/ (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4))))) (pow x 3))) (+ (* 1/6 (/ (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (pow x 2))) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) x))))) x) |
(+ 1 (* -1 (/ y x))) |
(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x)) |
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))) |
(+ (exp (* -1 y)) (* -1 (/ (+ (* -1 (/ (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)))) x)) (* -1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))) x))) |
(+ (exp (* -1 y)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* -1 y)) (+ (* -1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) x)) (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2))))) x)) (* -1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))) x))) |
(* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) x)) |
(* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1 (/ (+ (* 1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (/ (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)))) x)) x))) x)) |
(* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2))))) (/ (* (exp (* -1 y)) (+ (* -1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) x)) x)) (* 1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))) x))) x)) |
(+ (* -1 y) (* -1 (/ (+ (* -1/2 (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) (* 1/6 (/ (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) x))) x))) |
(+ (* -1 y) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/24 (/ (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4))))) x))) x)) (* -1/2 (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) x))) |
(* -1 (/ (+ y (* -1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) x))) x)) |
(* -1 (/ (+ y (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) x)) (* 1/2 (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) x))) x)) |
(* -1 (/ (+ y (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4))))) x)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))))) x)) (* 1/2 (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) x))) x)) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x))) |
(+ 1 (* -1 y)) |
(+ 1 (* y (- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1))) |
(+ 1 (* y (- (* y (+ 1/2 (+ (* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) (* 1/2 (/ 1 x))))) 1))) |
(+ (* -1 (/ y x)) (/ 1 x)) |
(+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x)) |
(+ (* y (- (* y (+ (* -1 (/ (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) x)) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))) (/ 1 x))) (/ 1 x)) |
(* y (- (* 1/2 (/ y x)) 1)) |
(* y (- (* y (+ (* -1/3 (/ y (pow x 2))) (* 1/2 (/ 1 x)))) 1)) |
(* y (- (* y (+ (* y (- (* 1/4 (/ y (pow x 3))) (* 1/3 (/ 1 (pow x 2))))) (* 1/2 (/ 1 x)))) 1)) |
(* y (- (* 1/2 (/ y (pow x 2))) (/ 1 x))) |
(* y (- (* y (+ (* -1/3 (/ y (pow x 3))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) |
(* y (- (* y (+ (* y (- (* 1/4 (/ y (pow x 4))) (* 1/3 (/ 1 (pow x 3))))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) |
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x)))) |
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)))) |
(exp (* x (+ (log x) (log (/ 1 y))))) |
(+ (exp (* x (+ (log x) (log (/ 1 y))))) (* -1 (/ (* (pow x 2) (exp (* x (+ (log x) (log (/ 1 y)))))) y))) |
(+ (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1 (/ (* (pow x 2) (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (pow y 2)))) |
(+ (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1 (/ (* (pow x 2) (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (+ (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (+ (* -1/6 (pow x 6)) (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* -2 (pow x 3)) (* 6 (pow x 3))))))))) (pow y 3)) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (pow y 2))))) |
(/ (exp (* x (+ (log x) (log (/ 1 y))))) x) |
(+ (* -1 (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (/ (exp (* x (+ (log x) (log (/ 1 y))))) x)) |
(+ (* -1 (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (+ (/ (exp (* x (+ (log x) (log (/ 1 y))))) x) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x (pow y 2))))) |
(+ (* -1 (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (+ (/ (exp (* x (+ (log x) (log (/ 1 y))))) x) (+ (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (+ (* -1/6 (pow x 6)) (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* -2 (pow x 3)) (* 6 (pow x 3))))))))) (* x (pow y 3))) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x (pow y 2)))))) |
(+ (* -1 (/ (pow x 2) y)) (* x (+ (log x) (log (/ 1 y))))) |
(+ (* -1 (/ (pow x 2) y)) (+ (* 1/2 (/ (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2)))) (pow y 2))) (* x (+ (log x) (log (/ 1 y)))))) |
(+ (* -1 (/ (pow x 2) y)) (+ (* 1/6 (/ (* x (+ (* -6 (pow x 3)) (+ (* -2 (pow x 3)) (* 6 (pow x 3))))) (pow y 3))) (+ (* 1/2 (/ (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2)))) (pow y 2))) (* x (+ (log x) (log (/ 1 y))))))) |
(+ (log x) (+ (log (/ 1 y)) (+ (* -1 (/ x y)) (* 1/2 (/ (+ (* -1 (pow x 2)) (* 2 (pow x 2))) (pow y 2)))))) |
(+ (log x) (+ (log (/ 1 y)) (+ (* -1 (/ x y)) (+ (* 1/6 (/ (+ (* -6 (pow x 3)) (+ (* -2 (pow x 3)) (* 6 (pow x 3)))) (pow y 3))) (* 1/2 (/ (+ (* -1 (pow x 2)) (* 2 (pow x 2))) (pow y 2))))))) |
(/ (+ x (* -1 (/ (pow x 2) y))) y) |
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y) |
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y) |
(exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) |
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))) y))) |
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) y)) (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y))) |
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3)))))) (+ (* 1/6 (pow x 6)) (* 1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))))) y)) (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4))))) y)) (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y))) |
(/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x) |
(+ (* -1 (/ (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x)) |
(+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x y))) (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3)))))) (+ (* 1/6 (pow x 6)) (* 1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))))) (* x y))) (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) x)) y)) (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x)) |
(* x (+ (log (* -1 x)) (log (/ -1 y)))) |
(+ (* -1 (/ (pow x 2) y)) (* x (+ (log (* -1 x)) (log (/ -1 y))))) |
(+ (* -1 (/ (+ (* -1/2 (/ (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2)))) y)) (pow x 2)) y)) (* x (+ (log (* -1 x)) (log (/ -1 y))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3))))) y)) (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))) y)) (pow x 2)) y)) (* x (+ (log (* -1 x)) (log (/ -1 y))))) |
(+ (log (* -1 x)) (log (/ -1 y))) |
(+ (log (* -1 x)) (+ (log (/ -1 y)) (* -1 (/ x y)))) |
(+ (log (* -1 x)) (+ (log (/ -1 y)) (* -1 (/ (+ x (* -1/2 (/ (+ (* -1 (pow x 2)) (* 2 (pow x 2))) y))) y)))) |
(+ (log (* -1 x)) (+ (log (/ -1 y)) (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3)))) y)) (* 1/2 (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) y))) y)))) |
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y)) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (* x (+ (log x) (log (/ 1 y))))) |
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(+ (log (* -1 x)) (+ (log (/ -1 y)) (* -1 (/ x y)))) |
(+.f64 (-.f64 (log.f64 (neg.f64 x)) (/.f64 x y)) (log.f64 (/.f64 #s(literal -1 binary64) y))) |
(+ (log (* -1 x)) (+ (log (/ -1 y)) (* -1 (/ (+ x (* -1/2 (/ (+ (* -1 (pow x 2)) (* 2 (pow x 2))) y))) y)))) |
(+.f64 (-.f64 (log.f64 (neg.f64 x)) (/.f64 (fma.f64 (*.f64 x (/.f64 x y)) #s(literal -1/2 binary64) x) y)) (log.f64 (/.f64 #s(literal -1 binary64) y))) |
(+ (log (* -1 x)) (+ (log (/ -1 y)) (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3)))) y)) (* 1/2 (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) y))) y)))) |
(+.f64 (-.f64 (log.f64 (neg.f64 x)) (/.f64 (-.f64 x (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)) y) #s(literal -1/6 binary64))) y)) y)) (log.f64 (/.f64 #s(literal -1 binary64) y))) |
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y)) |
(/.f64 (fma.f64 x (/.f64 x y) (neg.f64 x)) (neg.f64 y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y)) |
(/.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 x) x (/.f64 (pow.f64 x #s(literal 3 binary64)) y)) y) x) y) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y)) |
(/.f64 (+.f64 (/.f64 (neg.f64 (fma.f64 x x (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) y))) y) x) y) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 39 |
| 0 | 14 | 39 |
| 1 | 48 | 35 |
| 2 | 276 | 35 |
| 3 | 2526 | 35 |
| 0 | 8637 | 35 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) |
(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) |
(*.f64 x (log.f64 (/.f64 x (+.f64 x y)))) |
(log.f64 (/.f64 x (+.f64 x y))) |
(/.f64 x (+.f64 x y)) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) x) (neg.f64 x)) (pow.f64 (/.f64 (+.f64 y x) (fma.f64 (-.f64 y x) y (*.f64 x x))) (neg.f64 x))) |
(*.f64 (pow.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (neg.f64 x)) (pow.f64 (/.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) x) (neg.f64 x))) |
(*.f64 (pow.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (neg.f64 x)) (pow.f64 (pow.f64 (*.f64 (-.f64 x y) x) #s(literal -1 binary64)) (neg.f64 x))) |
(*.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 x)) (pow.f64 (/.f64 (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)) x) (neg.f64 x))) |
(*.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 x)) (pow.f64 (pow.f64 (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) x) #s(literal -1 binary64)) (neg.f64 x))) |
(*.f64 (pow.f64 (/.f64 x (*.f64 (+.f64 y x) (-.f64 y x))) x) (pow.f64 (-.f64 y x) x)) |
(*.f64 (pow.f64 (/.f64 (neg.f64 x) (*.f64 (-.f64 x y) (+.f64 y x))) x) (pow.f64 (neg.f64 (-.f64 x y)) x)) |
(*.f64 (pow.f64 (/.f64 (neg.f64 x) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) x) (pow.f64 (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x))) x)) |
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (+.f64 y x)) (-.f64 x y))) x) (pow.f64 (-.f64 x y) x)) |
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (/.f64 x (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) x) (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) x)) |
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) x) (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) x)) |
(*.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 y x) x) #s(literal -1/2 binary64)) x) (pow.f64 (pow.f64 (/.f64 (+.f64 y x) x) #s(literal -1/2 binary64)) x)) |
(*.f64 (pow.f64 (pow.f64 (exp.f64 x) (neg.f64 (log.f64 x))) #s(literal -1 binary64)) (pow.f64 (exp.f64 x) (neg.f64 (log.f64 (+.f64 y x))))) |
(*.f64 (pow.f64 (pow.f64 (*.f64 (-.f64 x y) (+.f64 y x)) #s(literal -1 binary64)) x) (pow.f64 (*.f64 (-.f64 x y) x) x)) |
(*.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) x) (pow.f64 (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) x) x)) |
(*.f64 (pow.f64 #s(literal -1 binary64) (neg.f64 x)) (pow.f64 (/.f64 (-.f64 (neg.f64 x) y) x) (neg.f64 x))) |
(*.f64 (pow.f64 #s(literal -1 binary64) x) (pow.f64 (/.f64 x (-.f64 (neg.f64 x) y)) x)) |
(*.f64 (pow.f64 (exp.f64 x) (log.f64 (/.f64 (/.f64 x (+.f64 y x)) (-.f64 x y)))) (pow.f64 (exp.f64 x) (log.f64 (-.f64 x y)))) |
(*.f64 (pow.f64 (exp.f64 x) (log.f64 (/.f64 x (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) (pow.f64 (exp.f64 x) (log.f64 (fma.f64 (-.f64 y x) y (*.f64 x x))))) |
(*.f64 (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (neg.f64 x)) (pow.f64 (/.f64 (+.f64 y x) (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) x)) (neg.f64 x))) |
(*.f64 (pow.f64 (/.f64 x (+.f64 y x)) (/.f64 x #s(literal 2 binary64))) (pow.f64 (/.f64 x (+.f64 y x)) (/.f64 x #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (-.f64 x y) x) (pow.f64 (/.f64 (/.f64 x (+.f64 y x)) (-.f64 x y)) x)) |
(*.f64 (pow.f64 (/.f64 (/.f64 x (+.f64 y x)) (-.f64 x y)) x) (pow.f64 (-.f64 x y) x)) |
(*.f64 (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) x) (pow.f64 (/.f64 x (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) x)) |
(*.f64 (pow.f64 (/.f64 x (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) x) (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) x)) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) x) (pow.f64 (neg.f64 x) x)) |
(*.f64 (pow.f64 (neg.f64 x) x) (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) x)) |
(*.f64 (pow.f64 (+.f64 y x) (neg.f64 x)) (pow.f64 (/.f64 (-.f64 x y) (*.f64 (-.f64 x y) x)) (neg.f64 x))) |
(*.f64 (pow.f64 (+.f64 y x) (neg.f64 x)) (pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (neg.f64 x))) |
(*.f64 (pow.f64 (+.f64 y x) (neg.f64 x)) (pow.f64 x x)) |
(*.f64 (pow.f64 x x) (pow.f64 (+.f64 y x) (neg.f64 x))) |
(*.f64 (pow.f64 (exp.f64 x) (neg.f64 (log.f64 (+.f64 y x)))) (pow.f64 (exp.f64 x) (log.f64 x))) |
(*.f64 (pow.f64 (exp.f64 x) (log.f64 (neg.f64 x))) (pow.f64 (exp.f64 x) (log.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x))))) |
(*.f64 (pow.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (exp.f64 x) (log.f64 x)) (pow.f64 (exp.f64 x) (neg.f64 (log.f64 (+.f64 y x))))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))) |
(*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (+.f64 y x)) x)) |
(*.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) (pow.f64 (/.f64 (-.f64 x y) (-.f64 x y)) (neg.f64 x))) |
(*.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) #s(literal 1 binary64)) |
(pow.f64 (*.f64 (/.f64 x (+.f64 y x)) (/.f64 x (+.f64 y x))) (/.f64 x #s(literal 2 binary64))) |
(pow.f64 (pow.f64 (exp.f64 x) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 (+.f64 y x)) #s(literal 2 binary64)))) (pow.f64 (log.f64 (*.f64 (+.f64 y x) x)) #s(literal -1 binary64))) |
(pow.f64 (pow.f64 (exp.f64 x) (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 (+.f64 y x)) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (log.f64 (+.f64 y x)) (log.f64 (*.f64 (+.f64 y x) x)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(pow.f64 (pow.f64 (exp.f64 x) #s(literal -1 binary64)) (log.f64 (/.f64 (+.f64 y x) x))) |
(pow.f64 (pow.f64 (/.f64 x (+.f64 y x)) (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 (/.f64 x (+.f64 y x))) #s(literal 1/2 binary64))) |
(pow.f64 (pow.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (/.f64 (+.f64 y x) x) x) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 y x) x) (*.f64 #s(literal 1 binary64) (neg.f64 x))) |
(pow.f64 (/.f64 (+.f64 y x) x) (neg.f64 x)) |
(pow.f64 (exp.f64 x) (*.f64 (*.f64 (log.f64 (/.f64 x (+.f64 y x))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) |
(pow.f64 (exp.f64 x) (*.f64 #s(literal 2 binary64) (*.f64 (log.f64 (/.f64 x (+.f64 y x))) #s(literal 1/2 binary64)))) |
(pow.f64 (exp.f64 x) (fma.f64 (log.f64 (/.f64 x (+.f64 y x))) #s(literal 1/2 binary64) (*.f64 (log.f64 (/.f64 x (+.f64 y x))) #s(literal 1/2 binary64)))) |
(pow.f64 (exp.f64 x) (log.f64 (/.f64 x (+.f64 y x)))) |
(pow.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) #s(literal 1 binary64)) |
(pow.f64 (/.f64 x (+.f64 y x)) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64)))) |
(pow.f64 (/.f64 x (+.f64 y x)) (*.f64 (neg.f64 x) #s(literal -1 binary64))) |
(pow.f64 (/.f64 x (+.f64 y x)) x) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 (exp.f64 x) (log.f64 x)))) (neg.f64 (neg.f64 (pow.f64 (exp.f64 x) (log.f64 (+.f64 y x)))))) |
(/.f64 (neg.f64 (pow.f64 (exp.f64 x) (log.f64 (neg.f64 x)))) (neg.f64 (pow.f64 (exp.f64 x) (log.f64 (-.f64 (neg.f64 x) y))))) |
(/.f64 (neg.f64 (*.f64 (pow.f64 (exp.f64 x) (log.f64 x)) #s(literal 1 binary64))) (neg.f64 (pow.f64 (exp.f64 x) (log.f64 (+.f64 y x))))) |
(/.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64))) (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (log.f64 (-.f64 (neg.f64 x) y)) #s(literal 2 binary64)))) |
(/.f64 (pow.f64 (exp.f64 x) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 (+.f64 y x) x)))) (pow.f64 (exp.f64 x) (/.f64 (pow.f64 (log.f64 (+.f64 y x)) #s(literal 2 binary64)) (log.f64 (*.f64 (+.f64 y x) x))))) |
(/.f64 (pow.f64 (exp.f64 x) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (fma.f64 (log.f64 (+.f64 y x)) (log.f64 (*.f64 (+.f64 y x) x)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) (pow.f64 (exp.f64 x) (/.f64 (pow.f64 (log.f64 (+.f64 y x)) #s(literal 3 binary64)) (fma.f64 (log.f64 (+.f64 y x)) (log.f64 (*.f64 (+.f64 y x) x)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))))) |
(/.f64 (pow.f64 (exp.f64 x) (log.f64 #s(literal -1 binary64))) (pow.f64 (exp.f64 x) (log.f64 (/.f64 (-.f64 (neg.f64 x) y) x)))) |
(/.f64 (neg.f64 (pow.f64 (exp.f64 x) (log.f64 x))) (neg.f64 (pow.f64 (exp.f64 x) (log.f64 (+.f64 y x))))) |
(/.f64 (*.f64 (pow.f64 (exp.f64 x) (log.f64 x)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) (log.f64 (+.f64 y x)))) |
(/.f64 (pow.f64 (exp.f64 x) (log.f64 (neg.f64 x))) (pow.f64 (exp.f64 x) (log.f64 (-.f64 (neg.f64 x) y)))) |
(/.f64 (pow.f64 (exp.f64 x) (log.f64 x)) (pow.f64 (exp.f64 x) (log.f64 (+.f64 y x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (/.f64 (+.f64 y x) x) x))) |
(/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 y x) x)) x))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (log.f64 (/.f64 (+.f64 y x) x)) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (+.f64 y x) x) x)) |
(neg.f64 (neg.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))) |
(exp.f64 (-.f64 (*.f64 x (log.f64 x)) (*.f64 x (log.f64 (+.f64 y x))))) |
(exp.f64 (neg.f64 (neg.f64 (*.f64 (log.f64 (/.f64 x (+.f64 y x))) x)))) |
(exp.f64 (fma.f64 x (*.f64 (log.f64 (/.f64 x (+.f64 y x))) #s(literal 1/2 binary64)) (*.f64 x (*.f64 (log.f64 (/.f64 x (+.f64 y x))) #s(literal 1/2 binary64))))) |
(exp.f64 (*.f64 (*.f64 x (*.f64 (log.f64 (/.f64 x (+.f64 y x))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (neg.f64 (*.f64 (log.f64 (/.f64 x (+.f64 y x))) x)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (*.f64 (log.f64 (/.f64 x (+.f64 y x))) #s(literal 1/2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) #s(literal 1/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 y x) x)) (neg.f64 x))) |
(exp.f64 (*.f64 x (*.f64 #s(literal 2 binary64) (*.f64 (log.f64 (/.f64 x (+.f64 y x))) #s(literal 1/2 binary64))))) |
(exp.f64 (*.f64 x (fma.f64 (log.f64 (/.f64 x (+.f64 y x))) #s(literal 1/2 binary64) (*.f64 (log.f64 (/.f64 x (+.f64 y x))) #s(literal 1/2 binary64))))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (+.f64 y x) x) x)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (+.f64 y x))) x)) |
(*.f64 (pow.f64 (/.f64 x (pow.f64 (exp.f64 x) (log.f64 x))) #s(literal -1 binary64)) (pow.f64 (exp.f64 x) (neg.f64 (log.f64 (+.f64 y x))))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (/.f64 x (+.f64 y x)) x)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) #s(literal 1/2 binary64))) (pow.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (pow.f64 (/.f64 x (pow.f64 (/.f64 x (+.f64 y x)) x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 x (pow.f64 (/.f64 x (+.f64 y x)) x)) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) #s(literal 1/2 binary64)) (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) #s(literal 1/2 binary64)) x)) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (/.f64 x (+.f64 y x)) x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))) |
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)) x)) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 (+.f64 y x) x) x) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (/.f64 x (+.f64 y x)) x)) |
(*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) x)) |
(*.f64 (neg.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (/.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) x) #s(literal 1 binary64)) |
(*.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) (pow.f64 x #s(literal -1 binary64))) |
(pow.f64 (exp.f64 (log.f64 (/.f64 x (pow.f64 (/.f64 x (+.f64 y x)) x)))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 x (pow.f64 (/.f64 x (+.f64 y x)) x)) (/.f64 x (pow.f64 (/.f64 x (+.f64 y x)) x))) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (/.f64 x (pow.f64 (/.f64 x (+.f64 y x)) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 x (pow.f64 (/.f64 x (+.f64 y x)) x)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) x) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (/.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) #s(literal 1 binary64))) (neg.f64 x)) |
(/.f64 (neg.f64 (exp.f64 (fma.f64 x (log.f64 x) (neg.f64 (log.f64 x))))) (neg.f64 (pow.f64 (exp.f64 x) (log.f64 (+.f64 y x))))) |
(/.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (exp.f64 x) (log.f64 x)))) (neg.f64 (pow.f64 (exp.f64 x) (log.f64 (+.f64 y x))))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)) #s(literal 1 binary64))) x) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)))) x) |
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 x) (log.f64 x)))) (neg.f64 (*.f64 (neg.f64 x) (pow.f64 (exp.f64 x) (log.f64 (+.f64 y x)))))) |
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(/.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (exp.f64 (log.f64 (/.f64 (-.f64 (neg.f64 x) y) x)))) |
(/.f64 (*.f64 (/.f64 (/.f64 x (+.f64 y x)) (-.f64 x y)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (+.f64 y x) (*.f64 x x))) |
(/.f64 (*.f64 (/.f64 (/.f64 x (+.f64 y x)) (-.f64 x y)) (*.f64 (-.f64 x y) (+.f64 y x))) (+.f64 y x)) |
(/.f64 (*.f64 (/.f64 x (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 y x) y) #s(literal 2 binary64)))) (-.f64 (*.f64 x x) (*.f64 (-.f64 y x) y))) |
(/.f64 (*.f64 (/.f64 x (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 (-.f64 y x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 y x) y) (-.f64 (*.f64 (-.f64 y x) y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) |
(/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (-.f64 (neg.f64 x) y)) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (-.f64 (neg.f64 x) y)) |
(/.f64 (neg.f64 (*.f64 (-.f64 x y) x)) (*.f64 (-.f64 (neg.f64 x) y) (-.f64 x y))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) x)) (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
(/.f64 (*.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (fma.f64 y (+.f64 y x) (*.f64 x x)))) |
(/.f64 (*.f64 x (*.f64 (-.f64 x y) (+.f64 y x))) (*.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (+.f64 y x))) |
(/.f64 (*.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 y x) y) #s(literal 2 binary64)))) (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (*.f64 x x) (*.f64 (-.f64 y x) y)))) |
(/.f64 (*.f64 x (+.f64 (pow.f64 (*.f64 (-.f64 y x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 (-.f64 y x) y) (-.f64 (*.f64 (-.f64 y x) y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))) |
(/.f64 (*.f64 (-.f64 x y) x) (*.f64 (-.f64 x y) (+.f64 y x))) |
(/.f64 (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) x) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
(/.f64 (/.f64 (/.f64 x (+.f64 y x)) (-.f64 x y)) (pow.f64 (-.f64 x y) #s(literal -1 binary64))) |
(/.f64 (/.f64 x (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal -1 binary64))) |
(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) |
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 (neg.f64 x) y) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) x)) |
(/.f64 (neg.f64 x) (-.f64 (neg.f64 x) y)) |
(/.f64 x (+.f64 y x)) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 x (-.f64 (neg.f64 x) y)))) |
(neg.f64 (/.f64 x (-.f64 (neg.f64 x) y))) |
(fma.f64 (/.f64 (/.f64 x (+.f64 y x)) (-.f64 x y)) x (*.f64 (/.f64 (/.f64 x (+.f64 y x)) (-.f64 x y)) (neg.f64 y))) |
(fma.f64 (/.f64 x (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (-.f64 y x) y) (*.f64 (/.f64 x (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x))) |
(fma.f64 (/.f64 x (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x) (*.f64 (/.f64 x (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (-.f64 y x) y))) |
(fma.f64 (*.f64 (-.f64 y x) y) (/.f64 x (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (*.f64 x x) (/.f64 x (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) |
(fma.f64 (*.f64 x x) (/.f64 x (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (*.f64 (-.f64 y x) y) (/.f64 x (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) |
(fma.f64 x (/.f64 (/.f64 x (+.f64 y x)) (-.f64 x y)) (*.f64 (neg.f64 y) (/.f64 (/.f64 x (+.f64 y x)) (-.f64 x y)))) |
(-.f64 (/.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal -1 binary64))) (/.f64 (/.f64 (*.f64 y x) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal -1 binary64)))) |
(-.f64 (/.f64 (/.f64 (/.f64 x (+.f64 y x)) (-.f64 x y)) (pow.f64 x #s(literal -1 binary64))) (/.f64 (/.f64 y (*.f64 (-.f64 x y) (+.f64 y x))) (pow.f64 x #s(literal -1 binary64)))) |
(-.f64 (/.f64 (*.f64 x x) (*.f64 (-.f64 x y) (+.f64 y x))) (/.f64 (*.f64 y x) (*.f64 (-.f64 x y) (+.f64 y x)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 y x)) (/.f64 x (-.f64 (neg.f64 x) y))) |
(-.f64 #s(literal 0 binary64) (/.f64 x (-.f64 (neg.f64 x) y))) |
(exp.f64 (log.f64 (/.f64 x (+.f64 y x)))) |
(+.f64 (*.f64 x (/.f64 (/.f64 x (+.f64 y x)) (-.f64 x y))) (*.f64 (neg.f64 y) (/.f64 (/.f64 x (+.f64 y x)) (-.f64 x y)))) |
(+.f64 (*.f64 (*.f64 (-.f64 y x) y) (/.f64 x (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (*.f64 x x) (/.f64 x (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) |
(+.f64 (*.f64 (*.f64 x x) (/.f64 x (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (*.f64 (-.f64 y x) y) (/.f64 x (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) |
(+.f64 (*.f64 (/.f64 (/.f64 x (+.f64 y x)) (-.f64 x y)) x) (*.f64 (/.f64 (/.f64 x (+.f64 y x)) (-.f64 x y)) (neg.f64 y))) |
(+.f64 (*.f64 (/.f64 x (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (-.f64 y x) y)) (*.f64 (/.f64 x (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x))) |
(+.f64 (*.f64 (/.f64 x (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x)) (*.f64 (/.f64 x (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (-.f64 y x) y))) |
Compiled 11 314 to 2 256 computations (80.1% saved)
8 alts after pruning (8 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 444 | 8 | 452 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 445 | 8 | 453 |
| Status | Accuracy | Program |
|---|---|---|
| 78.8% | (/.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) x) | |
| ▶ | 84.1% | (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) |
| ▶ | 54.5% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) |
| ▶ | 62.9% | (/.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) |
| 60.9% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) x) | |
| ▶ | 76.5% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) |
| ▶ | 78.0% | (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (pow.f64 (/.f64 (+.f64 y x) x) x))) |
| 49.1% | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))) |
Compiled 308 to 210 computations (31.8% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (+.f64 y x) x) | |
| cost-diff | 0 | (pow.f64 (/.f64 (+.f64 y x) x) x) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | (*.f64 (neg.f64 x) (pow.f64 (/.f64 (+.f64 y x) x) x)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) | |
| cost-diff | 0 | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) | |
| cost-diff | 640 | (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) | |
| cost-diff | 0 | (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 | 364 |
| 0 | 67 | 364 |
| 1 | 103 | 351 |
| 2 | 198 | 351 |
| 3 | 714 | 351 |
| 4 | 2384 | 351 |
| 5 | 5783 | 351 |
| 0 | 8137 | 341 |
| 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 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) |
(fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) |
(+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) |
(+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) |
#s(literal 1/6 binary64) |
(/.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
(/.f64 #s(literal 1/3 binary64) (*.f64 x x)) |
#s(literal 1/3 binary64) |
(*.f64 x x) |
(neg.f64 y) |
y |
(+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) |
#s(literal -1 binary64) |
#s(literal 1 binary64) |
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (pow.f64 (/.f64 (+.f64 y x) x) x))) |
#s(literal -1 binary64) |
(*.f64 (neg.f64 x) (pow.f64 (/.f64 (+.f64 y x) x) x)) |
(neg.f64 x) |
x |
(pow.f64 (/.f64 (+.f64 y x) x) x) |
(/.f64 (+.f64 y x) x) |
(+.f64 y x) |
y |
| 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) |
#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 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1/2 binary64) x) (fma.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x 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 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) |
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1/2 binary64) x) (fma.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1/2 binary64) x) (fma.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) |
(fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1/2 binary64) x) (fma.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) |
(fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1/2 binary64) x) (fma.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) y #s(literal 1/2 binary64))) |
(+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) |
(-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/6 binary64)) (/.f64 #s(literal -1/2 binary64) x)) |
(+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) |
(-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/6 binary64)) |
#s(literal 1/6 binary64) |
(/.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
(/.f64 #s(literal 1/3 binary64) (*.f64 x x)) |
#s(literal 1/3 binary64) |
(*.f64 x x) |
(neg.f64 y) |
y |
(+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) |
#s(literal -1 binary64) |
#s(literal 1 binary64) |
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (pow.f64 (/.f64 (+.f64 y x) x) x))) |
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (+.f64 y x) x) x)) x) |
#s(literal -1 binary64) |
(*.f64 (neg.f64 x) (pow.f64 (/.f64 (+.f64 y x) x) x)) |
(*.f64 (pow.f64 (/.f64 (+.f64 y x) x) x) (neg.f64 x)) |
(neg.f64 x) |
x |
(pow.f64 (/.f64 (+.f64 y x) x) x) |
(/.f64 (+.f64 y x) x) |
(+.f64 y x) |
y |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0078125 | (/.f64 (+.f64 y x) x) | |
| accuracy | 0.0078125 | (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (pow.f64 (/.f64 (+.f64 y x) x) x))) | |
| accuracy | 0.0078125 | (*.f64 (neg.f64 x) (pow.f64 (/.f64 (+.f64 y x) x) x)) | |
| accuracy | 9.301257974349934 | (pow.f64 (/.f64 (+.f64 y x) x) x) | |
| accuracy | 0.4202257775112543 | (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) | |
| accuracy | 0.9659285354497982 | (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) | |
| accuracy | 6.185612695113335 | (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) | |
| accuracy | 20.852676777418907 | #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) | |
| accuracy | 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 | 0.0546875 | (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y #s(literal -1 binary64)) | |
| accuracy | 19.538068933774852 | #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 | 7.334971053753325 | #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) | |
| accuracy | 0 | (neg.f64 y) | |
| accuracy | 0.00390625 | (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) | |
| accuracy | 0.00390625 | (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) | |
| accuracy | 18.895267201026883 | #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)) |
| 96.0ms | 97× | 1 | valid |
| 90.0ms | 83× | 0 | valid |
| 65.0ms | 44× | 2 | valid |
| 20.0ms | 17× | 1 | exit |
| 4.0ms | 15× | 0 | exit |
Compiled 650 to 77 computations (88.2% saved)
ival-mult: 85.0ms (34.8% of total)ival-add: 45.0ms (18.4% of total)ival-exp: 24.0ms (9.8% of total)ival-log: 23.0ms (9.4% of total)const: 17.0ms (7% of total)ival-pow: 16.0ms (6.6% of total)ival-div: 15.0ms (6.1% of total)adjust: 15.0ms (6.1% of total)ival-neg: 2.0ms (0.8% 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 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64)) |
(*.f64 (neg.f64 x) (pow.f64 (/.f64 (+.f64 y x) x) x)) |
(neg.f64 x) |
(pow.f64 (/.f64 (+.f64 y x) x) x) |
(/.f64 (+.f64 y x) x) |
(fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 x x)) |
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (pow.f64 (/.f64 (+.f64 y x) x) x))) |
| Outputs |
|---|
(/ 1 x) |
(/ (+ 1 (* x (+ (log x) (log (/ 1 y))))) x) |
(/ (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y))))))) x) |
(/ (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (* x (+ (* -1 (/ (+ (log x) (log (/ 1 y))) y)) (+ (* 1/6 (pow (+ (log x) (log (/ 1 y))) 3)) (* 1/2 (/ 1 (pow y 2))))))) (/ 1 y))))))) x) |
1 |
(+ 1 (* x (+ (log x) (log (/ 1 y))))) |
(+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y))))))) |
(+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (* x (+ (* -1 (/ (+ (log x) (log (/ 1 y))) y)) (+ (* 1/6 (pow (+ (log x) (log (/ 1 y))) 3)) (* 1/2 (/ 1 (pow y 2))))))) (/ 1 y))))))) |
(* x (+ (log x) (log (/ 1 y)))) |
(* x (+ (log x) (+ (log (/ 1 y)) (* -1 (/ x y))))) |
(* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (/ x (pow y 2))) (/ 1 y)))))) |
(* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* x (+ (* -1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y)))))) |
(* 1/2 (/ (pow y 2) x)) |
(/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) x) |
(* 1/2 (/ y x)) |
(/ (+ (* 1/2 y) (* x (- (* 1/2 y) 1))) x) |
(* -1/3 (/ y (pow x 2))) |
(/ (+ (* -1/3 y) (* x (+ 1/2 (* -1/2 y)))) (pow x 2)) |
(/ (+ (* -1/3 y) (* x (+ 1/2 (+ (* -1/2 y) (* x (+ 1/2 (* -1/6 y))))))) (pow x 2)) |
(* -1/3 (/ (pow y 3) (pow x 2))) |
(/ (+ (* -1/3 (pow y 3)) (* x (* (pow y 2) (+ 1/2 (* -1/2 y))))) (pow x 2)) |
(/ (+ (* -1/3 (pow y 3)) (* x (+ (* x (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1)))) (* (pow y 2) (+ 1/2 (* -1/2 y)))))) (pow x 2)) |
(* -1 x) |
(* x (- (* -1 (* x (+ (log y) (* -1 (log x))))) 1)) |
(* x (- (* x (+ (* -1 (* x (+ (* 1/2 (pow (+ (log y) (* -1 (log x))) 2)) (/ 1 y)))) (* -1 (+ (log y) (* -1 (log x)))))) 1)) |
(* x (- (* x (+ (* -1 (+ (log y) (* -1 (log x)))) (* x (+ (* -1 (* x (- (+ (* -1 (/ (log x) y)) (+ (* 1/6 (pow (+ (log y) (* -1 (log x))) 3)) (/ (log y) y))) (* 1/2 (/ 1 (pow y 2)))))) (* -1 (+ (* 1/2 (pow (+ (log y) (* -1 (log x))) 2)) (/ 1 y))))))) 1)) |
(+ 1 (* x (+ (log y) (* -1 (log x))))) |
(+ 1 (* x (+ (log y) (+ (* -1 (log x)) (* x (+ (* 1/2 (pow (+ (log y) (* -1 (log x))) 2)) (/ 1 y))))))) |
(+ 1 (* x (+ (log y) (+ (* -1 (log x)) (* x (+ (* 1/2 (pow (+ (log y) (* -1 (log x))) 2)) (+ (* x (- (+ (* -1 (/ (log x) y)) (+ (* 1/6 (pow (+ (log y) (* -1 (log x))) 3)) (/ (log y) y))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y)))))))) |
(/ y x) |
(/ (+ x y) x) |
(* -1/3 (/ (pow y 2) (pow x 2))) |
(/ (+ (* -1/3 (pow y 2)) (* x (* y (+ 1/2 (* -1/2 y))))) (pow x 2)) |
(/ (+ (* -1/3 (pow y 2)) (* x (+ (* x (- (* y (+ 1/2 (* -1/6 y))) 1)) (* y (+ 1/2 (* -1/2 y)))))) (pow x 2)) |
(/ 1/3 (pow x 2)) |
(/ (+ 1 (* -1 (* x (+ (log y) (* -1 (log x)))))) x) |
(/ (+ 1 (* x (- (* -1 (* x (+ (* -1 (pow (+ (log y) (* -1 (log x))) 2)) (+ (* 1/2 (pow (+ (log y) (* -1 (log x))) 2)) (/ 1 y))))) (+ (log y) (* -1 (log x)))))) x) |
(/ (+ 1 (* x (- (* x (- (* x (- (* 1/2 (/ 1 (pow y 2))) (+ (* -1 (* (+ (log y) (* -1 (log x))) (+ (* -1 (pow (+ (log y) (* -1 (log x))) 2)) (+ (* 1/2 (pow (+ (log y) (* -1 (log x))) 2)) (/ 1 y))))) (+ (* -1 (* (+ (log y) (* -1 (log x))) (+ (* 1/2 (pow (+ (log y) (* -1 (log x))) 2)) (/ 1 y)))) (+ (* -1 (/ (log x) y)) (+ (* 1/6 (pow (+ (log y) (* -1 (log x))) 3)) (/ (log y) y))))))) (+ (* -1 (pow (+ (log y) (* -1 (log x))) 2)) (+ (* 1/2 (pow (+ (log y) (* -1 (log x))) 2)) (/ 1 y))))) (+ (log y) (* -1 (log x)))))) x) |
(/ (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 (* 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 (* x (exp y))) |
(* x (+ (* -1 (exp y)) (* 1/2 (/ (* (pow y 2) (exp y)) x)))) |
(* x (+ (* -1 (exp y)) (+ (* -1 (/ (* (exp y) (+ (* 1/8 (pow y 4)) (* 1/3 (pow y 3)))) (pow x 2))) (* 1/2 (/ (* (pow y 2) (exp y)) x))))) |
(* x (+ (* -1 (exp y)) (+ (* -1 (/ (* (exp y) (+ (* -1/4 (pow y 4)) (+ (* -1/6 (pow y 5)) (* -1/48 (pow y 6))))) (pow x 3))) (+ (* -1 (/ (* (exp y) (+ (* 1/8 (pow y 4)) (* 1/3 (pow y 3)))) (pow x 2))) (* 1/2 (/ (* (pow y 2) (exp y)) x)))))) |
(exp y) |
(+ (exp y) (* -1/2 (/ (* (pow y 2) (exp y)) x))) |
(+ (exp y) (+ (* -1/2 (/ (* (pow y 2) (exp y)) x)) (/ (* (exp y) (+ (* 1/8 (pow y 4)) (* 1/3 (pow y 3)))) (pow x 2)))) |
(+ (exp y) (+ (* -1/2 (/ (* (pow y 2) (exp y)) x)) (+ (/ (* (exp y) (+ (* -1/4 (pow y 4)) (+ (* -1/6 (pow y 5)) (* -1/48 (pow y 6))))) (pow x 3)) (/ (* (exp y) (+ (* 1/8 (pow y 4)) (* 1/3 (pow y 3)))) (pow x 2))))) |
(+ 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 (* x (exp y))) |
(/ (+ (* 1/2 (/ (pow y 2) (* x (exp y)))) (/ 1 (exp y))) x) |
(/ (- (+ (* -1 (/ (+ (* -1/4 (/ (pow y 4) (exp y))) (+ (* 1/8 (/ (pow y 4) (exp y))) (* 1/3 (/ (pow y 3) (exp y))))) (pow x 2))) (/ 1 (exp y))) (* -1/2 (/ (pow y 2) (* x (exp y))))) x) |
(/ (- (+ (* -1 (/ (+ (* -1/4 (/ (pow y 4) (exp y))) (+ (* -1/6 (/ (pow y 5) (exp y))) (+ (* -1/48 (/ (pow y 6) (exp y))) (+ (* 1/2 (* (pow y 2) (+ (* -1/4 (/ (pow y 4) (exp y))) (+ (* 1/8 (/ (pow y 4) (exp y))) (* 1/3 (/ (pow y 3) (exp y))))))) (* 1/2 (/ (* (pow y 2) (+ (* 1/8 (pow y 4)) (* 1/3 (pow y 3)))) (exp y))))))) (pow x 3))) (/ 1 (exp y))) (+ (* -1/2 (/ (pow y 2) (* x (exp y)))) (+ (* -1/4 (/ (pow y 4) (* (pow x 2) (exp y)))) (+ (* 1/8 (/ (pow y 4) (* (pow x 2) (exp y)))) (* 1/3 (/ (pow y 3) (* (pow x 2) (exp y)))))))) x) |
(* -1 (/ (+ (* -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)) |
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(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/3 (/ (pow x 3) (* y (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))))) (+ (* -1/6 (/ (pow x 5) (* y (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))))) (+ (* 1/2 (/ (pow x 4) (* y (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))))) (+ (/ (* x (+ (* -1/2 (pow x 3)) (* 1/2 (pow x 4)))) (* y (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y)))))))) (/ (* (pow x 2) (+ (* -1 (/ (pow x 3) (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y)))))))) (+ (* -1/2 (/ (pow x 2) (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y)))))))) (* 1/2 (/ (pow x 3) (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))))))) y))))) (+ (* -1 (/ (pow x 3) (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y)))))))) (+ (* -1/2 (/ (pow x 2) (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y)))))))) (* 1/2 (/ (pow x 3) (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))))))) y)) (* -1 (/ x (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))))) y)) (/ 1 (* x (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 12.0ms | 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 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) y) 1) (* (neg x) (pow (/ (+ y x) x) x)) (neg x) (pow (/ (+ y x) x) x) (/ (+ y x) x) (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) (/ 1/3 (* x x)) (/ -1 (* (neg x) (pow (/ (+ y x) x) x)))) |
| 7.0ms | 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 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) y) 1) (* (neg x) (pow (/ (+ y x) x) x)) (neg x) (pow (/ (+ y x) x) x) (/ (+ y x) x) (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) (/ 1/3 (* x x)) (/ -1 (* (neg x) (pow (/ (+ y x) x) x)))) |
| 7.0ms | 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 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) y) 1) (* (neg x) (pow (/ (+ y x) x) x)) (neg x) (pow (/ (+ y x) x) x) (/ (+ y x) x) (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) (/ 1/3 (* x x)) (/ -1 (* (neg x) (pow (/ (+ y x) x) x)))) |
| 7.0ms | 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 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) y) 1) (* (neg x) (pow (/ (+ y x) x) x)) (neg x) (pow (/ (+ y x) x) x) (/ (+ y x) x) (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) (/ 1/3 (* x x)) (/ -1 (* (neg x) (pow (/ (+ y x) x) x)))) |
| 5.0ms | y | @ | 0 | ((/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (* x (log (/ x (+ x y)))) (neg y) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (+ (* (+ (/ 1/2 x) 1/2) y) -1) (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) y) 1) (* (neg x) (pow (/ (+ y x) x) x)) (neg x) (pow (/ (+ y x) x) x) (/ (+ y x) x) (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) (/ 1/3 (* x x)) (/ -1 (* (neg x) (pow (/ (+ y x) x) x)))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1021 | 6424 |
| 1 | 3298 | 5597 |
| 0 | 8122 | 5318 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 x) |
(/ (+ 1 (* x (+ (log x) (log (/ 1 y))))) x) |
(/ (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y))))))) x) |
(/ (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (* x (+ (* -1 (/ (+ (log x) (log (/ 1 y))) y)) (+ (* 1/6 (pow (+ (log x) (log (/ 1 y))) 3)) (* 1/2 (/ 1 (pow y 2))))))) (/ 1 y))))))) x) |
1 |
(+ 1 (* x (+ (log x) (log (/ 1 y))))) |
(+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y))))))) |
(+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (* x (+ (* -1 (/ (+ (log x) (log (/ 1 y))) y)) (+ (* 1/6 (pow (+ (log x) (log (/ 1 y))) 3)) (* 1/2 (/ 1 (pow y 2))))))) (/ 1 y))))))) |
(* x (+ (log x) (log (/ 1 y)))) |
(* x (+ (log x) (+ (log (/ 1 y)) (* -1 (/ x y))))) |
(* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (/ x (pow y 2))) (/ 1 y)))))) |
(* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* x (+ (* -1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y)))))) |
(* 1/2 (/ (pow y 2) x)) |
(/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) x) |
(* 1/2 (/ y x)) |
(/ (+ (* 1/2 y) (* x (- (* 1/2 y) 1))) x) |
(* -1/3 (/ y (pow x 2))) |
(/ (+ (* -1/3 y) (* x (+ 1/2 (* -1/2 y)))) (pow x 2)) |
(/ (+ (* -1/3 y) (* x (+ 1/2 (+ (* -1/2 y) (* x (+ 1/2 (* -1/6 y))))))) (pow x 2)) |
(* -1/3 (/ (pow y 3) (pow x 2))) |
(/ (+ (* -1/3 (pow y 3)) (* x (* (pow y 2) (+ 1/2 (* -1/2 y))))) (pow x 2)) |
(/ (+ (* -1/3 (pow y 3)) (* x (+ (* x (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1)))) (* (pow y 2) (+ 1/2 (* -1/2 y)))))) (pow x 2)) |
(* -1 x) |
(* x (- (* -1 (* x (+ (log y) (* -1 (log x))))) 1)) |
(* x (- (* x (+ (* -1 (* x (+ (* 1/2 (pow (+ (log y) (* -1 (log x))) 2)) (/ 1 y)))) (* -1 (+ (log y) (* -1 (log x)))))) 1)) |
(* x (- (* x (+ (* -1 (+ (log y) (* -1 (log x)))) (* x (+ (* -1 (* x (- (+ (* -1 (/ (log x) y)) (+ (* 1/6 (pow (+ (log y) (* -1 (log x))) 3)) (/ (log y) y))) (* 1/2 (/ 1 (pow y 2)))))) (* -1 (+ (* 1/2 (pow (+ (log y) (* -1 (log x))) 2)) (/ 1 y))))))) 1)) |
(+ 1 (* x (+ (log y) (* -1 (log x))))) |
(+ 1 (* x (+ (log y) (+ (* -1 (log x)) (* x (+ (* 1/2 (pow (+ (log y) (* -1 (log x))) 2)) (/ 1 y))))))) |
(+ 1 (* x (+ (log y) (+ (* -1 (log x)) (* x (+ (* 1/2 (pow (+ (log y) (* -1 (log x))) 2)) (+ (* x (- (+ (* -1 (/ (log x) y)) (+ (* 1/6 (pow (+ (log y) (* -1 (log x))) 3)) (/ (log y) y))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y)))))))) |
(/ y x) |
(/ (+ x y) x) |
(* -1/3 (/ (pow y 2) (pow x 2))) |
(/ (+ (* -1/3 (pow y 2)) (* x (* y (+ 1/2 (* -1/2 y))))) (pow x 2)) |
(/ (+ (* -1/3 (pow y 2)) (* x (+ (* x (- (* y (+ 1/2 (* -1/6 y))) 1)) (* y (+ 1/2 (* -1/2 y)))))) (pow x 2)) |
(/ 1/3 (pow x 2)) |
(/ (+ 1 (* -1 (* x (+ (log y) (* -1 (log x)))))) x) |
(/ (+ 1 (* x (- (* -1 (* x (+ (* -1 (pow (+ (log y) (* -1 (log x))) 2)) (+ (* 1/2 (pow (+ (log y) (* -1 (log x))) 2)) (/ 1 y))))) (+ (log y) (* -1 (log x)))))) x) |
(/ (+ 1 (* x (- (* x (- (* x (- (* 1/2 (/ 1 (pow y 2))) (+ (* -1 (* (+ (log y) (* -1 (log x))) (+ (* -1 (pow (+ (log y) (* -1 (log x))) 2)) (+ (* 1/2 (pow (+ (log y) (* -1 (log x))) 2)) (/ 1 y))))) (+ (* -1 (* (+ (log y) (* -1 (log x))) (+ (* 1/2 (pow (+ (log y) (* -1 (log x))) 2)) (/ 1 y)))) (+ (* -1 (/ (log x) y)) (+ (* 1/6 (pow (+ (log y) (* -1 (log x))) 3)) (/ (log y) y))))))) (+ (* -1 (pow (+ (log y) (* -1 (log x))) 2)) (+ (* 1/2 (pow (+ (log y) (* -1 (log x))) 2)) (/ 1 y))))) (+ (log y) (* -1 (log x)))))) x) |
(/ (exp (* -1 y)) x) |
(/ (+ (exp (* -1 y)) (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) x) |
(/ (+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2)))) x) |
(/ (+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (+ (/ (* (exp (* -1 y)) (+ (* 1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (+ (* 1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) (pow x 3)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2))))) x) |
(exp (* -1 y)) |
(+ (exp (* -1 y)) (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) |
(+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2)))) |
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(* -1 y) |
(+ (* -1 y) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) x))) |
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(+ (* -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 (* 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 (* x (exp y))) |
(* x (+ (* -1 (exp y)) (* 1/2 (/ (* (pow y 2) (exp y)) x)))) |
(* x (+ (* -1 (exp y)) (+ (* -1 (/ (* (exp y) (+ (* 1/8 (pow y 4)) (* 1/3 (pow y 3)))) (pow x 2))) (* 1/2 (/ (* (pow y 2) (exp y)) x))))) |
(* x (+ (* -1 (exp y)) (+ (* -1 (/ (* (exp y) (+ (* -1/4 (pow y 4)) (+ (* -1/6 (pow y 5)) (* -1/48 (pow y 6))))) (pow x 3))) (+ (* -1 (/ (* (exp y) (+ (* 1/8 (pow y 4)) (* 1/3 (pow y 3)))) (pow x 2))) (* 1/2 (/ (* (pow y 2) (exp y)) x)))))) |
(exp y) |
(+ (exp y) (* -1/2 (/ (* (pow y 2) (exp y)) x))) |
(+ (exp y) (+ (* -1/2 (/ (* (pow y 2) (exp y)) x)) (/ (* (exp y) (+ (* 1/8 (pow y 4)) (* 1/3 (pow y 3)))) (pow x 2)))) |
(+ (exp y) (+ (* -1/2 (/ (* (pow y 2) (exp y)) x)) (+ (/ (* (exp y) (+ (* -1/4 (pow y 4)) (+ (* -1/6 (pow y 5)) (* -1/48 (pow y 6))))) (pow x 3)) (/ (* (exp y) (+ (* 1/8 (pow y 4)) (* 1/3 (pow y 3)))) (pow x 2))))) |
(+ 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 (* x (exp y))) |
(/ (+ (* 1/2 (/ (pow y 2) (* x (exp y)))) (/ 1 (exp y))) x) |
(/ (- (+ (* -1 (/ (+ (* -1/4 (/ (pow y 4) (exp y))) (+ (* 1/8 (/ (pow y 4) (exp y))) (* 1/3 (/ (pow y 3) (exp y))))) (pow x 2))) (/ 1 (exp y))) (* -1/2 (/ (pow y 2) (* x (exp y))))) x) |
(/ (- (+ (* -1 (/ (+ (* -1/4 (/ (pow y 4) (exp y))) (+ (* -1/6 (/ (pow y 5) (exp y))) (+ (* -1/48 (/ (pow y 6) (exp y))) (+ (* 1/2 (* (pow y 2) (+ (* -1/4 (/ (pow y 4) (exp y))) (+ (* 1/8 (/ (pow y 4) (exp y))) (* 1/3 (/ (pow y 3) (exp y))))))) (* 1/2 (/ (* (pow y 2) (+ (* 1/8 (pow y 4)) (* 1/3 (pow y 3)))) (exp y))))))) (pow x 3))) (/ 1 (exp y))) (+ (* -1/2 (/ (pow y 2) (* x (exp y)))) (+ (* -1/4 (/ (pow y 4) (* (pow x 2) (exp y)))) (+ (* 1/8 (/ (pow y 4) (* (pow x 2) (exp y)))) (* 1/3 (/ (pow y 3) (* (pow x 2) (exp y)))))))) x) |
(* -1 (/ (+ (* -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 (/ (* (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 (* x (+ (exp y) (* -1/2 (/ (* (pow y 2) (exp y)) x))))) |
(* -1 (* x (+ (exp y) (* -1 (/ (+ (* -1 (/ (* (exp y) (+ (* 1/8 (pow y 4)) (* 1/3 (pow y 3)))) x)) (* 1/2 (* (pow y 2) (exp y)))) x))))) |
(* -1 (* x (+ (exp y) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp y) (+ (* 1/48 (pow y 6)) (+ (* 1/6 (pow y 5)) (* 1/4 (pow y 4))))) x)) (* (exp y) (+ (* 1/8 (pow y 4)) (* 1/3 (pow y 3))))) x)) (* 1/2 (* (pow y 2) (exp y)))) x))))) |
(+ (exp y) (* -1 (/ (+ (* -1 (/ (* (exp y) (+ (* 1/8 (pow y 4)) (* 1/3 (pow y 3)))) x)) (* 1/2 (* (pow y 2) (exp y)))) x))) |
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| 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) |
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(/ (+ 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) |
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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))))))) |
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(* -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))) |
(* -1 (* x (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y)))))))) |
(*.f64 (pow.f64 (exp.f64 x) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (/.f64 #s(literal -1 binary64) y)))) (neg.f64 x)) |
(+ (* -1 (* x (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y)))))))) (* -1 (/ (* (pow x 3) (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))) y))) |
(neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (pow.f64 (exp.f64 x) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (/.f64 #s(literal -1 binary64) y)))) y) (*.f64 (pow.f64 (exp.f64 x) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (/.f64 #s(literal -1 binary64) y)))) x))) |
(+ (* -1 (* x (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y)))))))) (* -1 (/ (+ (* (pow x 3) (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))) (/ (* x (* (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y)))))) (+ (* -1/2 (pow x 3)) (* 1/2 (pow x 4))))) y)) y))) |
(neg.f64 (fma.f64 (pow.f64 (exp.f64 x) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (/.f64 #s(literal -1 binary64) y)))) x (/.f64 (fma.f64 x (*.f64 (pow.f64 (exp.f64 x) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (/.f64 #s(literal -1 binary64) y)))) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/2 binary64))) y)) (*.f64 (pow.f64 (exp.f64 x) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (/.f64 #s(literal -1 binary64) y)))) (pow.f64 x #s(literal 3 binary64)))) y))) |
(+ (* -1 (* x (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y)))))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* x (* (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y)))))) (+ (* -1/2 (pow x 3)) (* 1/2 (pow x 4)))))) (/ (* x (* (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y)))))) (+ (* -1/3 (pow x 4)) (+ (* -1/6 (pow x 6)) (* 1/2 (pow x 5)))))) y)) y)) (* (pow x 3) (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y)))))))) y))) |
(neg.f64 (fma.f64 (pow.f64 (exp.f64 x) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (/.f64 #s(literal -1 binary64) y)))) x (/.f64 (fma.f64 (pow.f64 (exp.f64 x) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (/.f64 #s(literal -1 binary64) y)))) (pow.f64 x #s(literal 3 binary64)) (/.f64 (fma.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (/.f64 #s(literal -1 binary64) y)))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/2 binary64)))) (neg.f64 x) (*.f64 x (*.f64 (pow.f64 (exp.f64 x) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (/.f64 #s(literal -1 binary64) y)))) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/3 binary64) (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/6 binary64)))) y)))) (neg.f64 y))) y))) |
(exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y)))))) |
(pow.f64 (exp.f64 x) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (/.f64 #s(literal -1 binary64) y)))) |
(+ (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y)))))) (/ (* (pow x 2) (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))) y)) |
(fma.f64 (*.f64 x x) (/.f64 (pow.f64 (exp.f64 x) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (/.f64 #s(literal -1 binary64) y)))) y) (pow.f64 (exp.f64 x) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (/.f64 #s(literal -1 binary64) y))))) |
(+ (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y)))))) (* -1 (/ (+ (* -1 (* (pow x 2) (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y)))))))) (* -1 (/ (* (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y)))))) (+ (* -1/2 (pow x 3)) (* 1/2 (pow x 4)))) y))) y))) |
(-.f64 (pow.f64 (exp.f64 x) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (/.f64 #s(literal -1 binary64) y)))) (/.f64 (neg.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (/.f64 #s(literal -1 binary64) y)))) (fma.f64 x x (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/2 binary64))) y)))) y)) |
(+ (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y)))))) (* -1 (/ (+ (* -1 (* (pow x 2) (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y)))))))) (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y)))))) (+ (* -1/3 (pow x 4)) (+ (* -1/6 (pow x 6)) (* 1/2 (pow x 5))))) y)) (* (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y)))))) (+ (* -1/2 (pow x 3)) (* 1/2 (pow x 4))))) y))) y))) |
(-.f64 (pow.f64 (exp.f64 x) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (/.f64 #s(literal -1 binary64) y)))) (/.f64 (neg.f64 (fma.f64 (pow.f64 (exp.f64 x) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (/.f64 #s(literal -1 binary64) y)))) (*.f64 x x) (/.f64 (fma.f64 (pow.f64 (exp.f64 x) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (/.f64 #s(literal -1 binary64) y)))) (neg.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/3 binary64) (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/6 binary64)))) y)) (*.f64 (pow.f64 (exp.f64 x) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (/.f64 #s(literal -1 binary64) y)))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/2 binary64))))) y))) y)) |
(* (pow y 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (* -1 (/ (+ (* -1 (+ 1/2 (* 1/2 (/ 1 x)))) (/ 1 y)) y)))) |
(*.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) #s(literal -1/6 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y)) (*.f64 y y)) |
(/ 1 (* x (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y)))))))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (exp.f64 x) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (/.f64 #s(literal -1 binary64) y))))) |
(+ (* -1 (/ x (* y (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))))) (/ 1 (* x (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))))) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (exp.f64 x) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (/.f64 #s(literal -1 binary64) y))))) (/.f64 (/.f64 x y) (pow.f64 (exp.f64 x) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (/.f64 #s(literal -1 binary64) y)))))) |
(+ (* -1 (/ (- (+ (* -1 (/ (pow x 3) (* y (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))))) (+ (* -1/2 (/ (pow x 2) (* y (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))))) (* 1/2 (/ (pow x 3) (* y (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))))))) (* -1 (/ x (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))))) y)) (/ 1 (* x (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))))) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (exp.f64 x) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (/.f64 #s(literal -1 binary64) y))))) (/.f64 (+.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (exp.f64 x) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (/.f64 #s(literal -1 binary64) y))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (*.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (exp.f64 x) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (/.f64 #s(literal -1 binary64) y))))) (/.f64 (*.f64 x x) y))) (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (pow.f64 (exp.f64 x) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (/.f64 #s(literal -1 binary64) y)))))) (/.f64 x (pow.f64 (exp.f64 x) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (/.f64 #s(literal -1 binary64) y)))))) y)) |
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/3 (/ (pow x 3) (* y (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))))) (+ (* -1/6 (/ (pow x 5) (* y (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))))) (+ (* 1/2 (/ (pow x 4) (* y (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))))) (+ (/ (* x (+ (* -1/2 (pow x 3)) (* 1/2 (pow x 4)))) (* y (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y)))))))) (/ (* (pow x 2) (+ (* -1 (/ (pow x 3) (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y)))))))) (+ (* -1/2 (/ (pow x 2) (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y)))))))) (* 1/2 (/ (pow x 3) (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))))))) y))))) (+ (* -1 (/ (pow x 3) (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y)))))))) (+ (* -1/2 (/ (pow x 2) (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y)))))))) (* 1/2 (/ (pow x 3) (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))))))) y)) (* -1 (/ x (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))))) y)) (/ 1 (* x (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))))) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (exp.f64 x) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (/.f64 #s(literal -1 binary64) y))))) (/.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) (pow.f64 (exp.f64 x) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (/.f64 #s(literal -1 binary64) y))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (fma.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 (exp.f64 x) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (/.f64 #s(literal -1 binary64) y))))) (/.f64 (pow.f64 x #s(literal 5 binary64)) y) (fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (exp.f64 x) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (/.f64 #s(literal -1 binary64) y))))) (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (fma.f64 (*.f64 x x) (/.f64 (-.f64 (fma.f64 (/.f64 (*.f64 x x) (pow.f64 (exp.f64 x) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (/.f64 #s(literal -1 binary64) y))))) #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)) (pow.f64 (exp.f64 x) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (/.f64 #s(literal -1 binary64) y)))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (exp.f64 x) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (/.f64 #s(literal -1 binary64) y)))))) y) (/.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/2 binary64))) x) y) (pow.f64 (exp.f64 x) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (/.f64 #s(literal -1 binary64) y))))))))) (-.f64 (fma.f64 (/.f64 (*.f64 x x) (pow.f64 (exp.f64 x) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (/.f64 #s(literal -1 binary64) y))))) #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)) (pow.f64 (exp.f64 x) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (/.f64 #s(literal -1 binary64) y)))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (exp.f64 x) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (/.f64 #s(literal -1 binary64) y))))))) y) #s(literal -1 binary64) (/.f64 x (pow.f64 (exp.f64 x) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (/.f64 #s(literal -1 binary64) y)))))) y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 305 |
| 0 | 67 | 305 |
| 1 | 285 | 292 |
| 2 | 2316 | 292 |
| 0 | 8571 | 287 |
| 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 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64)) |
(*.f64 (neg.f64 x) (pow.f64 (/.f64 (+.f64 y x) x) x)) |
(neg.f64 x) |
(pow.f64 (/.f64 (+.f64 y x) x) x) |
(/.f64 (+.f64 y x) x) |
(fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 x x)) |
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (pow.f64 (/.f64 (+.f64 y x) x) x))) |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) #s(literal -1 binary64))) |
(*.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)))) (/.f64 #s(literal -1 binary64) x)) |
(*.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)) |
(/.f64 (neg.f64 (/.f64 (neg.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)))) #s(literal -1 binary64))) (neg.f64 x)) |
(/.f64 (neg.f64 (*.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) #s(literal 1 binary64))) (neg.f64 x)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)))))) (neg.f64 (neg.f64 (neg.f64 x)))) |
(/.f64 (/.f64 (neg.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)))) #s(literal -1 binary64)) x) |
(/.f64 (*.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) #s(literal 1 binary64)) x) |
(/.f64 (neg.f64 (neg.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))))) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)))) (neg.f64 x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 x (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)))) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 x (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))))) |
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(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x x) #s(literal 3 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 y x) x)) (/.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 x (neg.f64 x)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (pow.f64 (/.f64 (+.f64 y x) x) x) #s(literal 1/2 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 (pow.f64 (/.f64 (+.f64 y x) x) x) #s(literal 1/2 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 y x) x)) (/.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x (neg.f64 x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (/.f64 (+.f64 y x) x) x) #s(literal 1/2 binary64))) (/.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (pow.f64 (/.f64 (+.f64 y x) x) x) #s(literal 1/2 binary64)))) |
(*.f64 (pow.f64 (*.f64 x (pow.f64 (pow.f64 (/.f64 (+.f64 y x) x) x) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 y x) x) x) #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (neg.f64 (pow.f64 (/.f64 (+.f64 y x) x) x)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 (/.f64 (pow.f64 (/.f64 (+.f64 y x) x) x) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 (neg.f64 (pow.f64 (/.f64 (+.f64 y x) x) x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) (neg.f64 x)) #s(literal -1 binary64)) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (/.f64 x (+.f64 y x)) x)) |
(*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) (neg.f64 x))) |
(*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) (pow.f64 x #s(literal -1 binary64)))) |
(pow.f64 (/.f64 (pow.f64 (/.f64 (+.f64 y x) x) x) (pow.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 (+.f64 y x) x) x) x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 (+.f64 y x) x) x) x) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (pow.f64 (/.f64 (+.f64 y x) x) x) x) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (pow.f64 (/.f64 (+.f64 y x) x) x) #s(literal 1/2 binary64)))) (neg.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 y x) x) x) #s(literal 1/2 binary64)))) |
(/.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (+.f64 y x) x) x))) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 x #s(literal -1 binary64)))) (neg.f64 (neg.f64 (pow.f64 (/.f64 (+.f64 y x) x) x)))) |
(/.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (pow.f64 (/.f64 (+.f64 y x) x) x) #s(literal 1/2 binary64))) (pow.f64 (pow.f64 (/.f64 (+.f64 y x) x) x) #s(literal 1/2 binary64))) |
(/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (+.f64 y x) x) x)) (neg.f64 x)) |
(/.f64 (neg.f64 (pow.f64 x #s(literal -1 binary64))) (neg.f64 (pow.f64 (/.f64 (+.f64 y x) x) x))) |
(/.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (/.f64 (+.f64 y x) x) x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (pow.f64 (/.f64 (+.f64 y x) x) x) (pow.f64 x #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 (+.f64 y x) x) x) x) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 (+.f64 y x) x) x) x) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (/.f64 (+.f64 y x) x) x) (neg.f64 x))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 (+.f64 y x) x) x) x) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (/.f64 (+.f64 y x) x) x) (pow.f64 x #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 (+.f64 y x) x) x) x) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (pow.f64 (/.f64 (+.f64 y x) x) x) x) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (+.f64 y x) x) x) x)) |
(neg.f64 (/.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) (neg.f64 x))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 (+.f64 y x) x) x) x) #s(literal 1 binary64))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (/.f64 (+.f64 y x) x) x) x)) #s(literal -1 binary64))) |
Compiled 25 176 to 3 290 computations (86.9% saved)
16 alts after pruning (14 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 652 | 12 | 664 |
| Fresh | 1 | 2 | 3 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 656 | 16 | 672 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 78.8% | (/.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) x) |
| ✓ | 84.1% | (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) |
| ▶ | 68.0% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) |
| 32.3% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) (/.f64 (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))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) | |
| 66.6% | (/.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) | |
| ▶ | 64.0% | (/.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) |
| ▶ | 31.0% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x 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) |
| ▶ | 60.9% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) x) |
| 63.5% | (/.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) | |
| 6.7% | (/.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) | |
| ✓ | 76.5% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) |
| 40.4% | (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (pow.f64 #s(approx (/ (+ y x) x) (/.f64 y x)) x))) | |
| 65.0% | (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) #s(approx (pow (/ (+ y x) x) x) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))) | |
| 55.4% | (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) #s(approx (pow (/ (+ y x) x) x) (fma.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1/2 binary64) x))) y #s(literal 1 binary64)) y #s(literal 1 binary64))))) | |
| 55.4% | (/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (fma.f64 (fma.f64 (*.f64 (neg.f64 x) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)) y (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))) y (neg.f64 x)) y (neg.f64 x)))) | |
| 66.6% | (/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (neg.f64 (fma.f64 y x x)))) |
Compiled 965 to 640 computations (33.7% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) 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)) | |
| cost-diff | 0 | #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x 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))) | |
| cost-diff | 0 | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x 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) | |
| cost-diff | 192 | (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)) | |
| cost-diff | 0 | #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))) | |
| cost-diff | 0 | (/.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) | |
| cost-diff | 128 | (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x (*.f64 #s(literal 1/2 binary64) y)) x) | |
| cost-diff | 192 | (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x (*.f64 #s(literal 1/2 binary64) y)) | |
| cost-diff | 0 | (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) (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 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) | |
| cost-diff | 0 | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) y) | |
| cost-diff | 0 | #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) | |
| cost-diff | 0 | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) x) | |
| cost-diff | 0 | (+.f64 y x) | |
| cost-diff | 0 | (/.f64 x (+.f64 y x)) | |
| cost-diff | 0 | (pow.f64 (/.f64 x (+.f64 y x)) x) | |
| cost-diff | 0 | (/.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 62 | 723 |
| 0 | 99 | 723 |
| 1 | 153 | 698 |
| 2 | 260 | 698 |
| 3 | 820 | 698 |
| 4 | 2372 | 698 |
| 5 | 4601 | 689 |
| 6 | 7673 | 689 |
| 0 | 8116 | 649 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) x) |
(pow.f64 (/.f64 x (+.f64 y x)) x) |
(/.f64 x (+.f64 y x)) |
x |
(+.f64 y x) |
y |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) |
(-.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
x |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64)) |
(fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) |
#s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) |
(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))))) (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) |
#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))) |
(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)) |
#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)) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x (*.f64 #s(literal 1/2 binary64) y)) x) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x (*.f64 #s(literal 1/2 binary64) y)) |
(fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) |
#s(literal 1/2 binary64) |
y |
#s(literal -1 binary64) |
x |
(*.f64 #s(literal 1/2 binary64) y) |
#s(literal 1 binary64) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x 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) |
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x 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))) |
(fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x 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)) |
#s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x 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))) |
(/.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)) |
(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))) |
(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)) |
(fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal -1 binary64)) |
(fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) |
#s(literal -1/6 binary64) |
y |
#s(literal 1/2 binary64) |
#s(literal -1 binary64) |
x |
(*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) |
(fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) |
#s(literal -1/2 binary64) |
(*.f64 #s(literal -1/3 binary64) (*.f64 y y)) |
#s(literal -1/3 binary64) |
(*.f64 y y) |
(*.f64 x x) |
#s(literal 1 binary64) |
| Outputs |
|---|
(/.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) x) |
(pow.f64 (/.f64 x (+.f64 y x)) x) |
(/.f64 x (+.f64 y x)) |
x |
(+.f64 y x) |
y |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) |
(-.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
x |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64)) |
(fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) |
#s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) |
(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))))) (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))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 x) 1/2) y) -1) (fma.f64 (fma.f64 y x y) (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64))) y #s(literal 1 binary64))) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #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))) |
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 x) 1/2) y) -1) (fma.f64 (fma.f64 y x y) (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64))) y #s(literal 1 binary64))) |
(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)) |
(fma.f64 #s(approx (+ (* (+ (/ 1/2 x) 1/2) y) -1) (fma.f64 (fma.f64 y x y) (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64))) y #s(literal 1 binary64)) |
#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)) |
#s(approx (+ (* (+ (/ 1/2 x) 1/2) y) -1) (fma.f64 (fma.f64 y x y) (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64))) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x (*.f64 #s(literal 1/2 binary64) y)) x) |
(fma.f64 (fma.f64 y x y) (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x (*.f64 #s(literal 1/2 binary64) y)) |
(fma.f64 (fma.f64 y x y) #s(literal 1/2 binary64) (neg.f64 x)) |
(fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) |
#s(literal 1/2 binary64) |
y |
#s(literal -1 binary64) |
x |
(*.f64 #s(literal 1/2 binary64) y) |
#s(literal 1 binary64) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x 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 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) (fma.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) x) x (fma.f64 #s(literal -1/3 binary64) y (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) x))) x) (/.f64 y x) #s(literal -1 binary64))) y #s(literal 1 binary64))) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x 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))) |
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) (fma.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) x) x (fma.f64 #s(literal -1/3 binary64) y (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) x))) x) (/.f64 y x) #s(literal -1 binary64))) y #s(literal 1 binary64))) |
(fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) 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)) |
(fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) (fma.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) x) x (fma.f64 #s(literal -1/3 binary64) y (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) x))) x) (/.f64 y x) #s(literal -1 binary64))) y #s(literal 1 binary64)) |
#s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x 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))) |
#s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) (fma.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) x) x (fma.f64 #s(literal -1/3 binary64) y (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) x))) x) (/.f64 y x) #s(literal -1 binary64))) |
(/.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)) |
(fma.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) x) x (fma.f64 #s(literal -1/3 binary64) y (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) x))) x) (/.f64 y x) #s(literal -1 binary64)) |
(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))) |
(fma.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))) y (neg.f64 x)) x (*.f64 (*.f64 y y) #s(literal -1/3 binary64))) |
(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)) |
(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))) y (neg.f64 x)) |
(fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal -1 binary64)) |
(fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) |
#s(literal -1/6 binary64) |
y |
#s(literal 1/2 binary64) |
#s(literal -1 binary64) |
x |
(*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) |
(fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) |
#s(literal -1/2 binary64) |
(*.f64 #s(literal -1/3 binary64) (*.f64 y y)) |
(*.f64 (*.f64 y y) #s(literal -1/3 binary64)) |
#s(literal -1/3 binary64) |
(*.f64 y y) |
(*.f64 x x) |
#s(literal 1 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 3.0077877299624696 | (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))) | |
| accuracy | 5.4179439799624705 | (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)) | |
| accuracy | 23.897757509801163 | #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x 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))) | |
| accuracy | 28.19472145413379 | (/.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)) | |
| accuracy | 0.00390625 | (/.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) | |
| accuracy | 0.01953125 | (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)) | |
| accuracy | 7.077079288070043 | (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x (*.f64 #s(literal 1/2 binary64) y)) x) | |
| accuracy | 23.808533468280014 | #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))) | |
| accuracy | 0.125 | (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) | |
| accuracy | 0.9815535354497982 | (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) | |
| accuracy | 23.897757509801163 | #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) | |
| accuracy | 25.15618435643701 | #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) | |
| 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 | 24.930802728581632 | #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) | |
| 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 | 13.67063574533328 | (pow.f64 (/.f64 x (+.f64 y x)) x) |
| 182.0ms | 119× | 1 | valid |
| 115.0ms | 136× | 0 | valid |
| 1.0ms | 1× | 2 | valid |
Compiled 1 153 to 123 computations (89.3% saved)
ival-mult: 46.0ms (19.5% of total)ival-div: 42.0ms (17.8% of total)ival-add: 40.0ms (17% of total)const: 29.0ms (12.3% of total)ival-exp: 22.0ms (9.3% of total)ival-log: 22.0ms (9.3% of total)ival-pow: 16.0ms (6.8% of total)adjust: 14.0ms (5.9% of total)ival-sub: 1.0ms (0.4% of total)exact: 1.0ms (0.4% of total)ival-neg: 1.0ms (0.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) x) |
(pow.f64 (/.f64 x (+.f64 y x)) x) |
(/.f64 x (+.f64 y x)) |
(+.f64 y x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) |
(-.f64 #s(literal 1 binary64) y) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64)) |
(fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x (*.f64 #s(literal 1/2 binary64) y)) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x (*.f64 #s(literal 1/2 binary64) 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) |
#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))) |
(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)) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x 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) |
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x 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))) |
(fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x 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)) |
#s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) |
(fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) |
(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)) |
(/.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)) |
(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))) |
| Outputs |
|---|
(/ 1 x) |
(/ (+ 1 (* x (+ (log x) (log (/ 1 y))))) x) |
(/ (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y))))))) x) |
(/ (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (* x (+ (* -1 (/ (+ (log x) (log (/ 1 y))) y)) (+ (* 1/6 (pow (+ (log x) (log (/ 1 y))) 3)) (* 1/2 (/ 1 (pow y 2))))))) (/ 1 y))))))) x) |
1 |
(+ 1 (* x (+ (log x) (log (/ 1 y))))) |
(+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y))))))) |
(+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (* x (+ (* -1 (/ (+ (log x) (log (/ 1 y))) y)) (+ (* 1/6 (pow (+ (log x) (log (/ 1 y))) 3)) (* 1/2 (/ 1 (pow y 2))))))) (/ 1 y))))))) |
(/ x y) |
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y))) |
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y))) |
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))) |
y |
(+ x y) |
(* -1/3 (/ (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 y) |
(+ (* 1/2 y) (* x (- (* 1/2 y) 1))) |
(* 1/2 (/ y x)) |
(/ (+ (* 1/2 y) (* x (- (* 1/2 y) 1))) x) |
(* y (+ 1/2 (* -1/2 y))) |
(+ (* x (- (* y (+ 1/2 (* -1/6 y))) 1)) (* y (+ 1/2 (* -1/2 y)))) |
(* -1/3 (/ y (pow x 2))) |
(/ (+ (* -1/3 y) (* x (+ 1/2 (* -1/2 y)))) (pow x 2)) |
(/ (+ (* -1/3 y) (* x (+ 1/2 (+ (* -1/2 y) (* x (+ 1/2 (* -1/6 y))))))) (pow x 2)) |
(* 1/2 (/ (pow y 2) x)) |
(/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) x) |
(* -1/3 (pow y 2)) |
(+ (* -1/3 (pow y 2)) (* x (* y (+ 1/2 (* -1/2 y))))) |
(+ (* -1/3 (pow y 2)) (* x (+ (* x (- (* y (+ 1/2 (* -1/6 y))) 1)) (* y (+ 1/2 (* -1/2 y)))))) |
(/ (exp (* -1 y)) x) |
(/ (+ (exp (* -1 y)) (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) x) |
(/ (+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2)))) x) |
(/ (+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (+ (/ (* (exp (* -1 y)) (+ (* 1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (+ (* 1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) (pow x 3)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2))))) x) |
(exp (* -1 y)) |
(+ (exp (* -1 y)) (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) |
(+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2)))) |
(+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (+ (/ (* (exp (* -1 y)) (+ (* 1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (+ (* 1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) (pow x 3)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2))))) |
(+ 1 (* -1 (/ y x))) |
(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x)) |
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))) |
x |
(* x (+ 1 (/ y x))) |
(+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) |
(+ 1 (+ (* y (- (* y (+ 1/2 (* -1/6 y))) 1)) (/ (* (pow y 2) (+ 1/2 (* -1/2 y))) x))) |
(+ 1 (+ (* -1/3 (/ (pow y 3) (pow x 2))) (+ (* y (- (* y (+ 1/2 (* -1/6 y))) 1)) (/ (* (pow y 2) (+ 1/2 (* -1/2 y))) x)))) |
(- (* y (+ 1/2 (* -1/6 y))) 1) |
(- (+ (* y (+ 1/2 (* -1/6 y))) (/ (* y (+ 1/2 (* -1/2 y))) x)) 1) |
(- (+ (* -1/3 (/ (pow y 2) (pow x 2))) (+ (* y (+ 1/2 (* -1/6 y))) (/ (* y (+ 1/2 (* -1/2 y))) x))) 1) |
(* x (- (* 1/2 y) 1)) |
(* x (- (+ (* 1/2 y) (* 1/2 (/ y x))) 1)) |
(- (* 1/2 y) 1) |
(- (+ (* 1/2 y) (* 1/2 (/ y x))) 1) |
(* x (- (* y (+ 1/2 (* -1/6 y))) 1)) |
(* x (- (+ (* y (+ 1/2 (* -1/6 y))) (/ (* y (+ 1/2 (* -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 (* y (- (* 1/2 y) 1))) |
(+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1)))) |
(* (pow x 2) (- (* y (+ 1/2 (* -1/6 y))) 1)) |
(* (pow x 2) (- (+ (* y (+ 1/2 (* -1/6 y))) (/ (* y (+ 1/2 (* -1/2 y))) x)) 1)) |
(* (pow x 2) (- (+ (* -1/3 (/ (pow y 2) (pow x 2))) (+ (* y (+ 1/2 (* -1/6 y))) (/ (* y (+ 1/2 (* -1/2 y))) x))) 1)) |
(* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) x)) |
(* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1 (/ (+ (* 1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (/ (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)))) x)) x))) x)) |
(* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2))))) (/ (* (exp (* -1 y)) (+ (* -1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) x)) x)) (* 1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))) x))) x)) |
(+ (exp (* -1 y)) (* -1 (/ (+ (* -1 (/ (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)))) x)) (* -1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))) x))) |
(+ (exp (* -1 y)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* -1 y)) (+ (* -1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) x)) (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2))))) x)) (* -1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))) x))) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+ 1 (+ (* -1 (/ (* (pow y 2) (- (* 1/2 y) 1/2)) x)) (* y (- (* y (+ 1/2 (* -1/6 y))) 1)))) |
(+ 1 (+ (* -1 (/ (+ (* 1/3 (/ (pow y 3) x)) (* (pow y 2) (- (* 1/2 y) 1/2))) x)) (* y (- (* y (+ 1/2 (* -1/6 y))) 1)))) |
(- (+ (* -1 (/ (* y (- (* 1/2 y) 1/2)) x)) (* y (+ 1/2 (* -1/6 y)))) 1) |
(- (+ (* -1 (/ (+ (* 1/3 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1/2))) x)) (* y (+ 1/2 (* -1/6 y)))) 1) |
(* -1 (* x (+ (* -1 (- (* 1/2 y) 1)) (* -1/2 (/ y x))))) |
(* -1 (* x (+ (* -1 (- (* y (+ 1/2 (* -1/6 y))) 1)) (* -1 (/ (* y (+ 1/2 (* -1/2 y))) x))))) |
(+ 1/2 (+ (* -1 (/ (- (* 1/2 y) 1/2) x)) (* -1/6 y))) |
(+ 1/2 (+ (* -1 (/ (- (+ (* 1/3 (/ y x)) (* 1/2 y)) 1/2) x)) (* -1/6 y))) |
(- (+ (* -1 (/ (+ (* -1 (* y (+ 1/2 (* -1/2 y)))) (* 1/3 (/ (pow y 2) x))) x)) (* y (+ 1/2 (* -1/6 y)))) 1) |
(* (pow x 2) (- (+ (* -1 (/ (+ (* -1 (* y (+ 1/2 (* -1/2 y)))) (* 1/3 (/ (pow y 2) x))) x)) (* y (+ 1/2 (* -1/6 y)))) 1)) |
(+ (* -1 (/ y x)) (/ 1 x)) |
(+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x)) |
(+ (* y (- (* y (+ (* -1 (/ (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) x)) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))) (/ 1 x))) (/ 1 x)) |
(+ 1 (* -1 y)) |
(+ 1 (* y (- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1))) |
(+ 1 (* y (- (* y (+ 1/2 (+ (* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) (* 1/2 (/ 1 x))))) 1))) |
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x)))) |
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)))) |
-1 |
(- (* y (+ 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) |
(* -1 x) |
(+ (* -1 x) (* y (+ 1/2 (* 1/2 x)))) |
(+ (* -1 x) (* y (+ 1/2 (+ (* 1/2 x) (* y (- (* -1/6 x) 1/2)))))) |
(+ 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)))) |
1/2 |
(* -1 (pow x 2)) |
(+ (* -1 (pow x 2)) (* x (* y (+ 1/2 (* 1/2 x))))) |
(+ (* -1 (pow x 2)) (* y (+ (* x (+ 1/2 (* 1/2 x))) (* y (- (* x (- (* -1/6 x) 1/2)) 1/3))))) |
(/ (exp (* x (+ (log x) (log (/ 1 y))))) x) |
(+ (* -1 (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (/ (exp (* x (+ (log x) (log (/ 1 y))))) x)) |
(+ (* -1 (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (+ (/ (exp (* x (+ (log x) (log (/ 1 y))))) x) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x (pow y 2))))) |
(+ (* -1 (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (+ (/ (exp (* x (+ (log x) (log (/ 1 y))))) x) (+ (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (+ (* -1/6 (pow x 6)) (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* -2 (pow x 3)) (* 6 (pow x 3))))))))) (* x (pow y 3))) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x (pow y 2)))))) |
(exp (* x (+ (log x) (log (/ 1 y))))) |
(+ (exp (* x (+ (log x) (log (/ 1 y))))) (* -1 (/ (* (pow x 2) (exp (* x (+ (log x) (log (/ 1 y)))))) y))) |
(+ (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1 (/ (* (pow x 2) (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (pow y 2)))) |
(+ (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1 (/ (* (pow x 2) (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (+ (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (+ (* -1/6 (pow x 6)) (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* -2 (pow x 3)) (* 6 (pow x 3))))))))) (pow y 3)) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (pow y 2))))) |
(/ (+ x (* -1 (/ (pow x 2) y))) y) |
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y) |
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y) |
(* y (+ 1 (/ x y))) |
(* -1 y) |
(* y (- (/ 1 y) 1)) |
(* -1 (* (pow y 3) (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) |
(* (pow y 3) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (+ (/ 1/2 (* x y)) (* 1/2 (/ 1 y))))) |
(* (pow y 3) (- (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (+ (/ 1/2 (* x y)) (* 1/2 (/ 1 y)))) (/ 1 (pow y 2)))) |
(* (pow y 3) (- (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (+ (/ 1/2 (* x y)) (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 3))))) (/ 1 (pow y 2)))) |
(* -1 (* (pow y 2) (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) |
(* (pow y 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (+ (/ 1/2 (* x y)) (* 1/2 (/ 1 y))))) |
(* (pow y 2) (- (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (+ (/ 1/2 (* x y)) (* 1/2 (/ 1 y)))) (/ 1 (pow y 2)))) |
(* y (+ 1/2 (* 1/2 x))) |
(* y (+ 1/2 (+ (* -1 (/ x y)) (* 1/2 x)))) |
(/ (* y (+ 1/2 (* 1/2 x))) x) |
(* y (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1 y))) |
(* (pow y 2) (- (* -1/6 x) 1/2)) |
(* (pow y 2) (- (+ (* -1/6 x) (+ (* 1/2 (/ x y)) (* 1/2 (/ 1 y)))) 1/2)) |
(* (pow y 2) (- (+ (* -1 (/ x (pow y 2))) (+ (* -1/6 x) (+ (* 1/2 (/ x y)) (* 1/2 (/ 1 y))))) 1/2)) |
(* -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))))) |
(* -1/6 y) |
(* y (- (* 1/2 (/ 1 y)) 1/6)) |
(* (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) (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 2)) |
(* (pow y 2) (- (+ (/ 1/2 (* x y)) (+ (* 1/2 (/ 1 y)) (/ (- (* -1/6 x) 1/2) x))) (* 1/3 (/ 1 (pow x 2))))) |
(* (pow y 2) (- (+ (/ 1/2 (* x y)) (+ (* 1/2 (/ 1 y)) (/ (- (* -1/6 x) 1/2) x))) (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow y 2))))) |
(* (pow y 2) (- (* x (- (* -1/6 x) 1/2)) 1/3)) |
(* (pow y 2) (- (+ (* x (- (* -1/6 x) 1/2)) (/ (* x (+ 1/2 (* 1/2 x))) y)) 1/3)) |
(* (pow y 2) (- (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (* x (- (* -1/6 x) 1/2)) (/ (* x (+ 1/2 (* 1/2 x))) y))) 1/3)) |
(/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x) |
(+ (* -1 (/ (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x)) |
(+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x y))) (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3)))))) (+ (* 1/6 (pow x 6)) (* 1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))))) (* x y))) (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) x)) y)) (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x)) |
(exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) |
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))) y))) |
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) y)) (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y))) |
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3)))))) (+ (* 1/6 (pow x 6)) (* 1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))))) y)) (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4))))) y)) (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y))) |
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y)) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -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 (- (* -1/2 x) 1/2))) |
(* -1 (* y (- (+ (* -1/2 x) (/ x y)) 1/2))) |
(* -1 (/ (* y (- (* -1/2 x) 1/2)) x)) |
(* -1 (* y (- (+ -1/2 (/ 1 y)) (* 1/2 (/ 1 x))))) |
(* (pow y 2) (- (+ (* -1 (/ (- (* -1/2 x) 1/2) y)) (* -1/6 x)) 1/2)) |
(* (pow y 2) (- (+ (* -1 (/ (- (+ (* -1/2 x) (/ x y)) 1/2) y)) (* -1/6 x)) 1/2)) |
(* -1 (* y (+ 1/6 (+ (* -1 (/ (+ 1/2 (* 1/2 (/ 1 x))) y)) (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))) |
(* -1 (* y (- 1/6 (* 1/2 (/ 1 y))))) |
(* (pow y 2) (+ 1/2 (+ (* -1 (/ (- 1 (/ 1 y)) y)) (* 1/2 (/ 1 x))))) |
(* (pow y 2) (- (+ (* -1 (/ (- (/ 1 y) (+ 1/2 (* 1/2 (/ 1 x)))) y)) (/ (- (* -1/6 x) 1/2) x)) (* 1/3 (/ 1 (pow x 2))))) |
(* (pow y 2) (- (+ (* -1 (/ (* x (- (* -1/2 x) 1/2)) y)) (* x (- (* -1/6 x) 1/2))) 1/3)) |
(* (pow y 2) (- (+ (* -1 (/ (+ (* x (- (* -1/2 x) 1/2)) (/ (pow x 2) y)) y)) (* x (- (* -1/6 x) 1/2))) 1/3)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | y | @ | inf | ((/ (pow (/ x (+ y x)) x) x) (pow (/ x (+ y x)) x) (/ x (+ y x)) (+ y x) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (- 1 y) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) y) 1) (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) (+ (* (+ (* 1/2 y) -1) x) (* 1/2 y)) (/ (+ (* (+ (* 1/2 y) -1) x) (* 1/2 y)) x) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (+ (* (+ (* -1/6 y) 1/2) y) -1) x) (* (+ (* -1/2 y) 1/2) y)) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) y) 1) (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) (+ (* -1/6 y) 1/2) (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (/ (+ (* (+ (* (+ (* (+ (* -1/6 y) 1/2) y) -1) x) (* (+ (* -1/2 y) 1/2) y)) x) (* -1/3 (* y y))) (* x x)) (+ (* (+ (* (+ (* (+ (* -1/6 y) 1/2) y) -1) x) (* (+ (* -1/2 y) 1/2) y)) x) (* -1/3 (* y y)))) |
| 4.0ms | x | @ | -inf | ((/ (pow (/ x (+ y x)) x) x) (pow (/ x (+ y x)) x) (/ x (+ y x)) (+ y x) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (- 1 y) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) y) 1) (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) (+ (* (+ (* 1/2 y) -1) x) (* 1/2 y)) (/ (+ (* (+ (* 1/2 y) -1) x) (* 1/2 y)) x) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (+ (* (+ (* -1/6 y) 1/2) y) -1) x) (* (+ (* -1/2 y) 1/2) y)) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) y) 1) (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) (+ (* -1/6 y) 1/2) (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (/ (+ (* (+ (* (+ (* (+ (* -1/6 y) 1/2) y) -1) x) (* (+ (* -1/2 y) 1/2) y)) x) (* -1/3 (* y y))) (* x x)) (+ (* (+ (* (+ (* (+ (* -1/6 y) 1/2) y) -1) x) (* (+ (* -1/2 y) 1/2) y)) x) (* -1/3 (* y y)))) |
| 4.0ms | y | @ | -inf | ((/ (pow (/ x (+ y x)) x) x) (pow (/ x (+ y x)) x) (/ x (+ y x)) (+ y x) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (- 1 y) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) y) 1) (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) (+ (* (+ (* 1/2 y) -1) x) (* 1/2 y)) (/ (+ (* (+ (* 1/2 y) -1) x) (* 1/2 y)) x) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (+ (* (+ (* -1/6 y) 1/2) y) -1) x) (* (+ (* -1/2 y) 1/2) y)) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) y) 1) (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) (+ (* -1/6 y) 1/2) (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (/ (+ (* (+ (* (+ (* (+ (* -1/6 y) 1/2) y) -1) x) (* (+ (* -1/2 y) 1/2) y)) x) (* -1/3 (* y y))) (* x x)) (+ (* (+ (* (+ (* (+ (* -1/6 y) 1/2) y) -1) x) (* (+ (* -1/2 y) 1/2) y)) x) (* -1/3 (* y y)))) |
| 3.0ms | x | @ | inf | ((/ (pow (/ x (+ y x)) x) x) (pow (/ x (+ y x)) x) (/ x (+ y x)) (+ y x) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (- 1 y) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) y) 1) (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) (+ (* (+ (* 1/2 y) -1) x) (* 1/2 y)) (/ (+ (* (+ (* 1/2 y) -1) x) (* 1/2 y)) x) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (+ (* (+ (* -1/6 y) 1/2) y) -1) x) (* (+ (* -1/2 y) 1/2) y)) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) y) 1) (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) (+ (* -1/6 y) 1/2) (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (/ (+ (* (+ (* (+ (* (+ (* -1/6 y) 1/2) y) -1) x) (* (+ (* -1/2 y) 1/2) y)) x) (* -1/3 (* y y))) (* x x)) (+ (* (+ (* (+ (* (+ (* -1/6 y) 1/2) y) -1) x) (* (+ (* -1/2 y) 1/2) y)) x) (* -1/3 (* y y)))) |
| 3.0ms | x | @ | 0 | ((/ (pow (/ x (+ y x)) x) x) (pow (/ x (+ y x)) x) (/ x (+ y x)) (+ y x) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (- 1 y) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) y) 1) (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) (+ (* (+ (* 1/2 y) -1) x) (* 1/2 y)) (/ (+ (* (+ (* 1/2 y) -1) x) (* 1/2 y)) x) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (+ (* (+ (* -1/6 y) 1/2) y) -1) x) (* (+ (* -1/2 y) 1/2) y)) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) y) 1) (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) (+ (* -1/6 y) 1/2) (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (/ (+ (* (+ (* (+ (* (+ (* -1/6 y) 1/2) y) -1) x) (* (+ (* -1/2 y) 1/2) y)) x) (* -1/3 (* y y))) (* x x)) (+ (* (+ (* (+ (* (+ (* -1/6 y) 1/2) y) -1) x) (* (+ (* -1/2 y) 1/2) y)) x) (* -1/3 (* y y)))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 699 | 4014 |
| 1 | 2220 | 3617 |
| 2 | 7654 | 3590 |
| 0 | 8093 | 3345 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 x) |
(/ (+ 1 (* x (+ (log x) (log (/ 1 y))))) x) |
(/ (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y))))))) x) |
(/ (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (* x (+ (* -1 (/ (+ (log x) (log (/ 1 y))) y)) (+ (* 1/6 (pow (+ (log x) (log (/ 1 y))) 3)) (* 1/2 (/ 1 (pow y 2))))))) (/ 1 y))))))) x) |
1 |
(+ 1 (* x (+ (log x) (log (/ 1 y))))) |
(+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y))))))) |
(+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (* x (+ (* -1 (/ (+ (log x) (log (/ 1 y))) y)) (+ (* 1/6 (pow (+ (log x) (log (/ 1 y))) 3)) (* 1/2 (/ 1 (pow y 2))))))) (/ 1 y))))))) |
(/ x y) |
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y))) |
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y))) |
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))) |
y |
(+ x y) |
(* -1/3 (/ (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 y) |
(+ (* 1/2 y) (* x (- (* 1/2 y) 1))) |
(* 1/2 (/ y x)) |
(/ (+ (* 1/2 y) (* x (- (* 1/2 y) 1))) x) |
(* y (+ 1/2 (* -1/2 y))) |
(+ (* x (- (* y (+ 1/2 (* -1/6 y))) 1)) (* y (+ 1/2 (* -1/2 y)))) |
(* -1/3 (/ y (pow x 2))) |
(/ (+ (* -1/3 y) (* x (+ 1/2 (* -1/2 y)))) (pow x 2)) |
(/ (+ (* -1/3 y) (* x (+ 1/2 (+ (* -1/2 y) (* x (+ 1/2 (* -1/6 y))))))) (pow x 2)) |
(* 1/2 (/ (pow y 2) x)) |
(/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) x) |
(* -1/3 (pow y 2)) |
(+ (* -1/3 (pow y 2)) (* x (* y (+ 1/2 (* -1/2 y))))) |
(+ (* -1/3 (pow y 2)) (* x (+ (* x (- (* y (+ 1/2 (* -1/6 y))) 1)) (* y (+ 1/2 (* -1/2 y)))))) |
(/ (exp (* -1 y)) x) |
(/ (+ (exp (* -1 y)) (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) x) |
(/ (+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2)))) x) |
(/ (+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (+ (/ (* (exp (* -1 y)) (+ (* 1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (+ (* 1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) (pow x 3)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2))))) x) |
(exp (* -1 y)) |
(+ (exp (* -1 y)) (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) |
(+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2)))) |
(+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (+ (/ (* (exp (* -1 y)) (+ (* 1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (+ (* 1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) (pow x 3)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2))))) |
(+ 1 (* -1 (/ y x))) |
(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x)) |
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))) |
x |
(* x (+ 1 (/ y x))) |
(+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) |
(+ 1 (+ (* y (- (* y (+ 1/2 (* -1/6 y))) 1)) (/ (* (pow y 2) (+ 1/2 (* -1/2 y))) x))) |
(+ 1 (+ (* -1/3 (/ (pow y 3) (pow x 2))) (+ (* y (- (* y (+ 1/2 (* -1/6 y))) 1)) (/ (* (pow y 2) (+ 1/2 (* -1/2 y))) x)))) |
(- (* y (+ 1/2 (* -1/6 y))) 1) |
(- (+ (* y (+ 1/2 (* -1/6 y))) (/ (* y (+ 1/2 (* -1/2 y))) x)) 1) |
(- (+ (* -1/3 (/ (pow y 2) (pow x 2))) (+ (* y (+ 1/2 (* -1/6 y))) (/ (* y (+ 1/2 (* -1/2 y))) x))) 1) |
(* x (- (* 1/2 y) 1)) |
(* x (- (+ (* 1/2 y) (* 1/2 (/ y x))) 1)) |
(- (* 1/2 y) 1) |
(- (+ (* 1/2 y) (* 1/2 (/ y x))) 1) |
(* x (- (* y (+ 1/2 (* -1/6 y))) 1)) |
(* x (- (+ (* y (+ 1/2 (* -1/6 y))) (/ (* y (+ 1/2 (* -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 (* y (- (* 1/2 y) 1))) |
(+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1)))) |
(* (pow x 2) (- (* y (+ 1/2 (* -1/6 y))) 1)) |
(* (pow x 2) (- (+ (* y (+ 1/2 (* -1/6 y))) (/ (* y (+ 1/2 (* -1/2 y))) x)) 1)) |
(* (pow x 2) (- (+ (* -1/3 (/ (pow y 2) (pow x 2))) (+ (* y (+ 1/2 (* -1/6 y))) (/ (* y (+ 1/2 (* -1/2 y))) x))) 1)) |
(* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) x)) |
(* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1 (/ (+ (* 1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (/ (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)))) x)) x))) x)) |
(* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2))))) (/ (* (exp (* -1 y)) (+ (* -1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) x)) x)) (* 1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))) x))) x)) |
(+ (exp (* -1 y)) (* -1 (/ (+ (* -1 (/ (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)))) x)) (* -1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))) x))) |
(+ (exp (* -1 y)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* -1 y)) (+ (* -1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) x)) (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2))))) x)) (* -1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))) x))) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+ 1 (+ (* -1 (/ (* (pow y 2) (- (* 1/2 y) 1/2)) x)) (* y (- (* y (+ 1/2 (* -1/6 y))) 1)))) |
(+ 1 (+ (* -1 (/ (+ (* 1/3 (/ (pow y 3) x)) (* (pow y 2) (- (* 1/2 y) 1/2))) x)) (* y (- (* y (+ 1/2 (* -1/6 y))) 1)))) |
(- (+ (* -1 (/ (* y (- (* 1/2 y) 1/2)) x)) (* y (+ 1/2 (* -1/6 y)))) 1) |
(- (+ (* -1 (/ (+ (* 1/3 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1/2))) x)) (* y (+ 1/2 (* -1/6 y)))) 1) |
(* -1 (* x (+ (* -1 (- (* 1/2 y) 1)) (* -1/2 (/ y x))))) |
(* -1 (* x (+ (* -1 (- (* y (+ 1/2 (* -1/6 y))) 1)) (* -1 (/ (* y (+ 1/2 (* -1/2 y))) x))))) |
(+ 1/2 (+ (* -1 (/ (- (* 1/2 y) 1/2) x)) (* -1/6 y))) |
(+ 1/2 (+ (* -1 (/ (- (+ (* 1/3 (/ y x)) (* 1/2 y)) 1/2) x)) (* -1/6 y))) |
(- (+ (* -1 (/ (+ (* -1 (* y (+ 1/2 (* -1/2 y)))) (* 1/3 (/ (pow y 2) x))) x)) (* y (+ 1/2 (* -1/6 y)))) 1) |
(* (pow x 2) (- (+ (* -1 (/ (+ (* -1 (* y (+ 1/2 (* -1/2 y)))) (* 1/3 (/ (pow y 2) x))) x)) (* y (+ 1/2 (* -1/6 y)))) 1)) |
(+ (* -1 (/ y x)) (/ 1 x)) |
(+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x)) |
(+ (* y (- (* y (+ (* -1 (/ (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) x)) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))) (/ 1 x))) (/ 1 x)) |
(+ 1 (* -1 y)) |
(+ 1 (* y (- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1))) |
(+ 1 (* y (- (* y (+ 1/2 (+ (* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) (* 1/2 (/ 1 x))))) 1))) |
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x)))) |
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)))) |
-1 |
(- (* y (+ 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) |
(* -1 x) |
(+ (* -1 x) (* y (+ 1/2 (* 1/2 x)))) |
(+ (* -1 x) (* y (+ 1/2 (+ (* 1/2 x) (* y (- (* -1/6 x) 1/2)))))) |
(+ 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)))) |
1/2 |
(* -1 (pow x 2)) |
(+ (* -1 (pow x 2)) (* x (* y (+ 1/2 (* 1/2 x))))) |
(+ (* -1 (pow x 2)) (* y (+ (* x (+ 1/2 (* 1/2 x))) (* y (- (* x (- (* -1/6 x) 1/2)) 1/3))))) |
(/ (exp (* x (+ (log x) (log (/ 1 y))))) x) |
(+ (* -1 (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (/ (exp (* x (+ (log x) (log (/ 1 y))))) x)) |
(+ (* -1 (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (+ (/ (exp (* x (+ (log x) (log (/ 1 y))))) x) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x (pow y 2))))) |
(+ (* -1 (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (+ (/ (exp (* x (+ (log x) (log (/ 1 y))))) x) (+ (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (+ (* -1/6 (pow x 6)) (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* -2 (pow x 3)) (* 6 (pow x 3))))))))) (* x (pow y 3))) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x (pow y 2)))))) |
(exp (* x (+ (log x) (log (/ 1 y))))) |
(+ (exp (* x (+ (log x) (log (/ 1 y))))) (* -1 (/ (* (pow x 2) (exp (* x (+ (log x) (log (/ 1 y)))))) y))) |
(+ (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1 (/ (* (pow x 2) (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (pow y 2)))) |
(+ (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1 (/ (* (pow x 2) (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (+ (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (+ (* -1/6 (pow x 6)) (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* -2 (pow x 3)) (* 6 (pow x 3))))))))) (pow y 3)) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (pow y 2))))) |
(/ (+ x (* -1 (/ (pow x 2) y))) y) |
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y) |
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y) |
(* y (+ 1 (/ x y))) |
(* -1 y) |
(* y (- (/ 1 y) 1)) |
(* -1 (* (pow y 3) (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) |
(* (pow y 3) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (+ (/ 1/2 (* x y)) (* 1/2 (/ 1 y))))) |
(* (pow y 3) (- (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (+ (/ 1/2 (* x y)) (* 1/2 (/ 1 y)))) (/ 1 (pow y 2)))) |
(* (pow y 3) (- (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (+ (/ 1/2 (* x y)) (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 3))))) (/ 1 (pow y 2)))) |
(* -1 (* (pow y 2) (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) |
(* (pow y 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (+ (/ 1/2 (* x y)) (* 1/2 (/ 1 y))))) |
(* (pow y 2) (- (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (+ (/ 1/2 (* x y)) (* 1/2 (/ 1 y)))) (/ 1 (pow y 2)))) |
(* y (+ 1/2 (* 1/2 x))) |
(* y (+ 1/2 (+ (* -1 (/ x y)) (* 1/2 x)))) |
(/ (* y (+ 1/2 (* 1/2 x))) x) |
(* y (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1 y))) |
(* (pow y 2) (- (* -1/6 x) 1/2)) |
(* (pow y 2) (- (+ (* -1/6 x) (+ (* 1/2 (/ x y)) (* 1/2 (/ 1 y)))) 1/2)) |
(* (pow y 2) (- (+ (* -1 (/ x (pow y 2))) (+ (* -1/6 x) (+ (* 1/2 (/ x y)) (* 1/2 (/ 1 y))))) 1/2)) |
(* -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))))) |
(* -1/6 y) |
(* y (- (* 1/2 (/ 1 y)) 1/6)) |
(* (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) (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 2)) |
(* (pow y 2) (- (+ (/ 1/2 (* x y)) (+ (* 1/2 (/ 1 y)) (/ (- (* -1/6 x) 1/2) x))) (* 1/3 (/ 1 (pow x 2))))) |
(* (pow y 2) (- (+ (/ 1/2 (* x y)) (+ (* 1/2 (/ 1 y)) (/ (- (* -1/6 x) 1/2) x))) (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow y 2))))) |
(* (pow y 2) (- (* x (- (* -1/6 x) 1/2)) 1/3)) |
(* (pow y 2) (- (+ (* x (- (* -1/6 x) 1/2)) (/ (* x (+ 1/2 (* 1/2 x))) y)) 1/3)) |
(* (pow y 2) (- (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (* x (- (* -1/6 x) 1/2)) (/ (* x (+ 1/2 (* 1/2 x))) y))) 1/3)) |
(/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x) |
(+ (* -1 (/ (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x)) |
(+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x y))) (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3)))))) (+ (* 1/6 (pow x 6)) (* 1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))))) (* x y))) (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) x)) y)) (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x)) |
(exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) |
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))) y))) |
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) y)) (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y))) |
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3)))))) (+ (* 1/6 (pow x 6)) (* 1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))))) y)) (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4))))) y)) (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y))) |
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y)) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -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 (- (* -1/2 x) 1/2))) |
(* -1 (* y (- (+ (* -1/2 x) (/ x y)) 1/2))) |
(* -1 (/ (* y (- (* -1/2 x) 1/2)) x)) |
(* -1 (* y (- (+ -1/2 (/ 1 y)) (* 1/2 (/ 1 x))))) |
(* (pow y 2) (- (+ (* -1 (/ (- (* -1/2 x) 1/2) y)) (* -1/6 x)) 1/2)) |
(* (pow y 2) (- (+ (* -1 (/ (- (+ (* -1/2 x) (/ x y)) 1/2) y)) (* -1/6 x)) 1/2)) |
(* -1 (* y (+ 1/6 (+ (* -1 (/ (+ 1/2 (* 1/2 (/ 1 x))) y)) (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))) |
(* -1 (* y (- 1/6 (* 1/2 (/ 1 y))))) |
(* (pow y 2) (+ 1/2 (+ (* -1 (/ (- 1 (/ 1 y)) y)) (* 1/2 (/ 1 x))))) |
(* (pow y 2) (- (+ (* -1 (/ (- (/ 1 y) (+ 1/2 (* 1/2 (/ 1 x)))) y)) (/ (- (* -1/6 x) 1/2) x)) (* 1/3 (/ 1 (pow x 2))))) |
(* (pow y 2) (- (+ (* -1 (/ (* x (- (* -1/2 x) 1/2)) y)) (* x (- (* -1/6 x) 1/2))) 1/3)) |
(* (pow y 2) (- (+ (* -1 (/ (+ (* x (- (* -1/2 x) 1/2)) (/ (pow x 2) y)) y)) (* x (- (* -1/6 x) 1/2))) 1/3)) |
| 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)) |
(/ x y) |
(/.f64 x y) |
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 x y) y)) x) |
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y))) |
(fma.f64 (*.f64 x x) (-.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) y) y)) (/.f64 x y)) |
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))) |
(*.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) x (/.f64 #s(literal -1 binary64) (*.f64 y y))) x (/.f64 #s(literal 1 binary64) y)) x) |
y |
(+ x y) |
(+.f64 y x) |
(* -1/3 (/ (pow y 3) (pow x 2))) |
(*.f64 (/.f64 #s(literal -1/3 binary64) x) (/.f64 (pow.f64 y #s(literal 3 binary64)) x)) |
(/ (+ (* -1/3 (pow y 3)) (* x (* (pow y 2) (+ 1/2 (* -1/2 y))))) (pow x 2)) |
(/.f64 (fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) (*.f64 #s(literal -1/3 binary64) (pow.f64 y #s(literal 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 #s(literal -1/3 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 x x)) |
(* -1/3 (/ (pow y 2) (pow x 2))) |
(*.f64 (/.f64 #s(literal -1/3 binary64) x) (*.f64 y (/.f64 y x))) |
(/ (+ (* -1/3 (pow y 2)) (* x (* y (+ 1/2 (* -1/2 y))))) (pow x 2)) |
(/.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x (*.f64 #s(literal -1/3 binary64) (*.f64 y y))) 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 (/.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))) x) x) |
(* 1/2 y) |
(*.f64 #s(literal 1/2 binary64) y) |
(+ (* 1/2 y) (* x (- (* 1/2 y) 1))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) y (neg.f64 x)) |
(* 1/2 (/ y x)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) x) y) |
(/ (+ (* 1/2 y) (* x (- (* 1/2 y) 1))) x) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) y (neg.f64 x)) x) |
(* y (+ 1/2 (* -1/2 y))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) |
(+ (* x (- (* y (+ 1/2 (* -1/6 y))) 1)) (* y (+ 1/2 (* -1/2 y)))) |
(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)) |
(* -1/3 (/ y (pow x 2))) |
(*.f64 (/.f64 (/.f64 y x) x) #s(literal -1/3 binary64)) |
(/ (+ (* -1/3 y) (* x (+ 1/2 (* -1/2 y)))) (pow x 2)) |
(/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) x (*.f64 #s(literal -1/3 binary64) y)) 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) x #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64))) x (*.f64 #s(literal -1/3 binary64) y)) (*.f64 x x)) |
(* 1/2 (/ (pow y 2) x)) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y) y) |
(/ (+ (* 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 #s(literal 1/2 binary64) y) y)) x) |
(* -1/3 (pow y 2)) |
(*.f64 #s(literal -1/3 binary64) (*.f64 y y)) |
(+ (* -1/3 (pow y 2)) (* x (* y (+ 1/2 (* -1/2 y))))) |
(fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x (*.f64 #s(literal -1/3 binary64) (*.f64 y y))) |
(+ (* -1/3 (pow y 2)) (* x (+ (* x (- (* y (+ 1/2 (* -1/6 y))) 1)) (* y (+ 1/2 (* -1/2 y)))))) |
(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))) |
(/ (exp (* -1 y)) x) |
(/.f64 (exp.f64 (neg.f64 y)) x) |
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(+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x y))) (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x)) |
(-.f64 (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) x) (pow.f64 (neg.f64 x) x)) x) (/.f64 (fma.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) x) (pow.f64 (neg.f64 x) x)) x (/.f64 (*.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) x) (pow.f64 (neg.f64 x) x)) (*.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64))) (neg.f64 (*.f64 y x)))) y)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3)))))) (+ (* 1/6 (pow x 6)) (* 1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))))) (* x y))) (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) x)) y)) (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x)) |
(-.f64 (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) x) (pow.f64 (neg.f64 x) x)) x) (/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) x) (pow.f64 (neg.f64 x) x)) x) (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) x) (pow.f64 (neg.f64 x) x)) (*.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64))) x) (*.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)) x (pow.f64 x #s(literal 6 binary64))) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)) (*.f64 x x))) (*.f64 y x)) (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) x) (pow.f64 (neg.f64 x) x)))) y)) y)) |
(exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) x) (pow.f64 (neg.f64 x) x)) |
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))) y))) |
(fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) x) (pow.f64 (neg.f64 x) x) (/.f64 (*.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) x) (pow.f64 (neg.f64 x) x)) (*.f64 x x)) (neg.f64 y))) |
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) y)) (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y))) |
(fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) x) (pow.f64 (neg.f64 x) x) (/.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) x) (pow.f64 (neg.f64 x) x)) x) x (/.f64 (*.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) x) (pow.f64 (neg.f64 x) x)) (*.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64))) (neg.f64 y))) (neg.f64 y))) |
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3)))))) (+ (* 1/6 (pow x 6)) (* 1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))))) y)) (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4))))) y)) (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y))) |
(fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) x) (pow.f64 (neg.f64 x) x) (/.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) x) (pow.f64 (neg.f64 x) x)) x) x (/.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) x) (pow.f64 (neg.f64 x) x)) #s(literal 1/2 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (neg.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) x) (pow.f64 (neg.f64 x) x))) (/.f64 (fma.f64 #s(literal 1/6 binary64) (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)) x (pow.f64 x #s(literal 6 binary64))) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)) (*.f64 x x))) y))) (neg.f64 y))) (neg.f64 y))) |
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y)) |
(/.f64 (fma.f64 x (/.f64 x y) (neg.f64 x)) (neg.f64 y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y)) |
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 (fma.f64 (neg.f64 x) x (/.f64 (pow.f64 x #s(literal 3 binary64)) y)) y) x)) y) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y)) |
(/.f64 (-.f64 (/.f64 (fma.f64 (neg.f64 x) x (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) (neg.f64 y))) (neg.f64 y)) x) (neg.f64 y)) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(fma.f64 (/.f64 (neg.f64 x) y) (neg.f64 y) y) |
(* -1 (* y (- 1 (/ 1 y)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (neg.f64 y)) |
(* -1 (* (pow y 3) (+ 1/6 (+ (* -1 (/ (+ 1/2 (* 1/2 (/ 1 x))) y)) (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))) |
(*.f64 (neg.f64 (+.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y)) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)))) (pow.f64 y #s(literal 3 binary64))) |
(* -1 (* (pow y 3) (+ 1/6 (+ (* -1 (/ (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1 y)) y)) (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))) |
(*.f64 (neg.f64 (+.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) y)) y)) #s(literal 1/6 binary64))) (pow.f64 y #s(literal 3 binary64))) |
(* -1 (* (pow y 3) (+ 1/6 (+ (* -1 (/ (+ 1/2 (+ (* -1 (/ (- 1 (/ 1 y)) y)) (* 1/2 (/ 1 x)))) y)) (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))) |
(*.f64 (neg.f64 (+.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y)) (/.f64 #s(literal 1/2 binary64) x)) y)) #s(literal 1/6 binary64))) (pow.f64 y #s(literal 3 binary64))) |
(* (pow y 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (* -1 (/ (+ (* -1 (+ 1/2 (* 1/2 (/ 1 x)))) (/ 1 y)) y)))) |
(*.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) #s(literal -1/6 binary64)) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) x)) y)) (*.f64 y y)) |
(* -1 (* y (- (* -1/2 x) 1/2))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) (neg.f64 y)) |
(* -1 (* y (- (+ (* -1/2 x) (/ x y)) 1/2))) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 x y)) #s(literal -1 binary64) #s(literal 1/2 binary64)) y) |
(* -1 (/ (* y (- (* -1/2 x) 1/2)) x)) |
(*.f64 (neg.f64 y) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) x)) |
(* -1 (* y (- (+ -1/2 (/ 1 y)) (* 1/2 (/ 1 x))))) |
(*.f64 (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal -1 binary64) y)) y) |
(* (pow y 2) (- (+ (* -1 (/ (- (* -1/2 x) 1/2) y)) (* -1/6 x)) 1/2)) |
(*.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) y) #s(literal -1 binary64) (fma.f64 #s(literal -1/6 binary64) x #s(literal -1/2 binary64))) y) y) |
(* (pow y 2) (- (+ (* -1 (/ (- (+ (* -1/2 x) (/ x y)) 1/2) y)) (* -1/6 x)) 1/2)) |
(*.f64 (*.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 x y)) #s(literal 1/2 binary64)) y) #s(literal -1 binary64) (fma.f64 #s(literal -1/6 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)) |
(* -1 (* y (- 1/6 (* 1/2 (/ 1 y))))) |
(*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 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 (/ (- (/ 1 y) (+ 1/2 (* 1/2 (/ 1 x)))) y)) (/ (- (* -1/6 x) 1/2) x)) (* 1/3 (/ 1 (pow x 2))))) |
(*.f64 (-.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal -1/2 binary64)) x) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) x)) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (*.f64 y y)) |
(* (pow y 2) (- (+ (* -1 (/ (* x (- (* -1/2 x) 1/2)) y)) (* x (- (* -1/6 x) 1/2))) 1/3)) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal -1/2 binary64)) x (fma.f64 (neg.f64 x) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) y) #s(literal -1/3 binary64))) (*.f64 y y)) |
(* (pow y 2) (- (+ (* -1 (/ (+ (* x (- (* -1/2 x) 1/2)) (/ (pow x 2) y)) y)) (* x (- (* -1/6 x) 1/2))) 1/3)) |
(*.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) x (*.f64 x (/.f64 x y))) y) #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/3 binary64))) y) y) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 62 | 588 |
| 0 | 99 | 572 |
| 1 | 445 | 564 |
| 2 | 3690 | 564 |
| 0 | 8782 | 550 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) x) |
(pow.f64 (/.f64 x (+.f64 y x)) x) |
(/.f64 x (+.f64 y x)) |
(+.f64 y x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) |
(-.f64 #s(literal 1 binary64) y) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64)) |
(fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x (*.f64 #s(literal 1/2 binary64) y)) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x (*.f64 #s(literal 1/2 binary64) 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) |
#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))) |
(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)) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x 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) |
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x 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))) |
(fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x 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)) |
#s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) |
(fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) |
(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)) |
(/.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)) |
(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))) |
| Outputs |
|---|
(*.f64 (pow.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) #s(literal 1/2 binary64)) x)) |
(*.f64 (pow.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) #s(literal 1/2 binary64)) (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 (pow.f64 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)) |
(*.f64 (neg.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)) (pow.f64 (neg.f64 x) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) x)) |
(*.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) (pow.f64 x #s(literal -1 binary64))) |
(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)) |
(/.f64 (neg.f64 (*.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) #s(literal 1 binary64))) (neg.f64 x)) |
(/.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) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 (/.f64 x (+.f64 y x)) x))) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)) (neg.f64 x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 x (pow.f64 (/.f64 x (+.f64 y x)) x)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (pow.f64 (/.f64 x (+.f64 y x)) x)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 x (pow.f64 (/.f64 x (+.f64 y x)) x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (pow.f64 (/.f64 x (+.f64 y x)) x)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (pow.f64 (/.f64 x (+.f64 y x)) x))) |
(/.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) x) |
(neg.f64 (/.f64 (neg.f64 (pow.f64 (/.f64 x (+.f64 y x)) x)) x)) |
(neg.f64 (/.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) (neg.f64 x))) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (pow.f64 (/.f64 x (+.f64 y x)) x))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (pow.f64 x x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (pow.f64 (+.f64 y x) (neg.f64 x)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) |
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(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/9 binary64)) (pow.f64 (*.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) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal -1/3 binary64)) (*.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 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.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) #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/9 binary64))))) (neg.f64 (neg.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 (neg.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1/27 binary64) (pow.f64 (*.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) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal -1/3 binary64)) (-.f64 (*.f64 (*.f64 y y) #s(literal -1/3 binary64)) (*.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)) (pow.f64 (*.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) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/9 binary64)) (pow.f64 (*.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) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 y y) #s(literal -1/3 binary64)) (*.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 (neg.f64 (-.f64 (pow.f64 (*.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) #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/9 binary64)))) (neg.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 (neg.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1/27 binary64) (pow.f64 (*.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) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/9 binary64) (-.f64 (pow.f64 (*.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) #s(literal 2 binary64)) (*.f64 (*.f64 (*.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) #s(literal -1/3 binary64)) (*.f64 y y)))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1/27 binary64) (pow.f64 (*.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) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal -1/3 binary64)) (-.f64 (*.f64 (*.f64 y y) #s(literal -1/3 binary64)) (*.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)) (pow.f64 (*.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) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.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) #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/9 binary64))) (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 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1/27 binary64) (pow.f64 (*.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) #s(literal 3 binary64))) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/9 binary64) (-.f64 (pow.f64 (*.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) #s(literal 2 binary64)) (*.f64 (*.f64 (*.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) #s(literal -1/3 binary64)) (*.f64 y y))))) |
(/.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1/27 binary64) (pow.f64 (*.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) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 y y) #s(literal -1/3 binary64)) (-.f64 (*.f64 (*.f64 y y) #s(literal -1/3 binary64)) (*.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)) (pow.f64 (*.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) #s(literal 2 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.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 (pow.f64 (*.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) #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/9 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal -1/3 binary64)) (-.f64 (*.f64 (*.f64 y y) #s(literal -1/3 binary64)) (*.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)) (pow.f64 (*.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) #s(literal 2 binary64))) (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1/27 binary64) (pow.f64 (*.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) #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.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 (pow.f64 (*.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) #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/9 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal -1/3 binary64)) (-.f64 (*.f64 (*.f64 y y) #s(literal -1/3 binary64)) (*.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)) (pow.f64 (*.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) #s(literal 2 binary64))) (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1/27 binary64) (pow.f64 (*.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) #s(literal 3 binary64))))) |
(fma.f64 (*.f64 #s(literal -1/3 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)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x)) |
(fma.f64 (*.f64 y y) #s(literal -1/3 binary64) (*.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)) |
(fma.f64 #s(literal -1/3 binary64) (*.f64 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)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x)) |
(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))) |
(fma.f64 y (*.f64 #s(literal -1/3 binary64) y) (*.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)) |
(fma.f64 x (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)) (*.f64 (*.f64 y y) #s(literal -1/3 binary64))) |
(-.f64 (/.f64 (pow.f64 (*.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) #s(literal 2 binary64)) (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 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/9 binary64)) (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 (*.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 (*.f64 (*.f64 y y) #s(literal -1/3 binary64)) (*.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)) |
Compiled 39 724 to 3 824 computations (90.4% saved)
20 alts after pruning (16 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 720 | 10 | 730 |
| Fresh | 3 | 6 | 9 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 2 | 2 |
| Total | 726 | 20 | 746 |
| Status | Accuracy | Program |
|---|---|---|
| 41.1% | (/.f64 (pow.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) x) x) | |
| ✓ | 84.1% | (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) |
| ✓ | 68.0% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) |
| ▶ | 68.0% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) #s(approx (+ (* -1/6 y) 1/2) (*.f64 #s(literal -1/6 binary64) y))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) |
| 66.6% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) #s(approx (+ (* -1/6 y) 1/2) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) | |
| ▶ | 67.7% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 x) 1/2) y) -1) (/.f64 #s(approx (+ (* (+ (* 1/2 y) -1) x) (* 1/2 y)) (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) x)) y #s(literal 1 binary64))) x) |
| 34.1% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* -1/6 y) 1/2) y) -1) x) (* (+ (* -1/2 y) 1/2) y)) x) (* -1/3 (* y y))) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal -1 binary64)) x) x)) (*.f64 x x))) y #s(literal 1 binary64))) x) | |
| ▶ | 32.3% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* -1/6 y) 1/2) y) -1) x) (* (+ (* -1/2 y) 1/2) y)) x) (* -1/3 (* y y))) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/3 binary64)) y) y)) (*.f64 x x))) y #s(literal 1 binary64))) x) |
| 47.6% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) #s(approx (/ (+ (* (+ (* (+ (* (+ (* -1/6 y) 1/2) y) -1) x) (* (+ (* -1/2 y) 1/2) y)) x) (* -1/3 (* y y))) (* x x)) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/3 binary64)) x) (*.f64 y (/.f64 y x))))) y #s(literal 1 binary64))) x) | |
| ✓ | 60.9% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) x) |
| ▶ | 4.0% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (- 1 y) (neg.f64 y))) x) |
| 63.5% | (/.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) | |
| 4.9% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y) y))) x) | |
| ✓ | 76.5% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) |
| 68.0% | (/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))))) | |
| 40.4% | (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (pow.f64 #s(approx (/ (+ y x) x) (/.f64 y x)) x))) | |
| 65.0% | (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) #s(approx (pow (/ (+ y x) x) x) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))) | |
| 55.4% | (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) #s(approx (pow (/ (+ y x) x) x) (fma.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1/2 binary64) x))) y #s(literal 1 binary64)) y #s(literal 1 binary64))))) | |
| ▶ | 55.4% | (/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (fma.f64 (fma.f64 (*.f64 (neg.f64 x) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)) y (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))) y (neg.f64 x)) y (neg.f64 x)))) |
| 66.6% | (/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (neg.f64 (fma.f64 y x x)))) |
Compiled 1 445 to 942 computations (34.8% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (fma.f64 (fma.f64 (*.f64 (neg.f64 x) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)) y (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))) y (neg.f64 x)) y (neg.f64 x))) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (fma.f64 (fma.f64 (*.f64 (neg.f64 x) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)) y (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))) y (neg.f64 x)) y (neg.f64 x)))) | |
| cost-diff | 128 | (*.f64 (neg.f64 x) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)) y (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))) | |
| cost-diff | 128 | (fma.f64 (*.f64 (neg.f64 x) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)) y (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))) y (neg.f64 x)) | |
| cost-diff | 0 | #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* -1/6 y) 1/2) y) -1) x) (* (+ (* -1/2 y) 1/2) y)) x) (* -1/3 (* y y))) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/3 binary64)) y) y)) (*.f64 x x))) | |
| cost-diff | 0 | (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* -1/6 y) 1/2) y) -1) x) (* (+ (* -1/2 y) 1/2) y)) x) (* -1/3 (* y y))) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/3 binary64)) y) y)) (*.f64 x x))) y #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* -1/6 y) 1/2) y) -1) x) (* (+ (* -1/2 y) 1/2) y)) x) (* -1/3 (* y y))) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/3 binary64)) y) y)) (*.f64 x x))) y #s(literal 1 binary64))) | |
| cost-diff | 0 | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* -1/6 y) 1/2) y) -1) x) (* (+ (* -1/2 y) 1/2) y)) x) (* -1/3 (* y y))) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/3 binary64)) y) y)) (*.f64 x x))) y #s(literal 1 binary64))) x) | |
| cost-diff | 0 | #s(approx (+ (* (+ (/ 1/2 x) 1/2) y) -1) (/.f64 #s(approx (+ (* (+ (* 1/2 y) -1) x) (* 1/2 y)) (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) x)) | |
| cost-diff | 0 | (fma.f64 #s(approx (+ (* (+ (/ 1/2 x) 1/2) y) -1) (/.f64 #s(approx (+ (* (+ (* 1/2 y) -1) x) (* 1/2 y)) (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) x)) 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) (/.f64 #s(approx (+ (* (+ (* 1/2 y) -1) x) (* 1/2 y)) (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) x)) 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) (/.f64 #s(approx (+ (* (+ (* 1/2 y) -1) x) (* 1/2 y)) (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) x)) y #s(literal 1 binary64))) x) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | #s(approx (- 1 y) (neg.f64 y)) | |
| cost-diff | 0 | #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (- 1 y) (neg.f64 y))) | |
| cost-diff | 0 | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (- 1 y) (neg.f64 y))) x) | |
| cost-diff | 0 | (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) #s(approx (+ (* -1/6 y) 1/2) (*.f64 #s(literal -1/6 binary64) y))) y #s(literal -1 binary64)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) #s(approx (+ (* -1/6 y) 1/2) (*.f64 #s(literal -1/6 binary64) y))) y #s(literal -1 binary64)) y #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) #s(approx (+ (* -1/6 y) 1/2) (*.f64 #s(literal -1/6 binary64) y))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) | |
| cost-diff | 0 | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) #s(approx (+ (* -1/6 y) 1/2) (*.f64 #s(literal -1/6 binary64) y))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 93 | 1094 |
| 0 | 133 | 1094 |
| 1 | 226 | 1069 |
| 2 | 472 | 1069 |
| 3 | 1837 | 1047 |
| 4 | 7127 | 1047 |
| 0 | 8346 | 989 |
| 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 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) #s(approx (+ (* -1/6 y) 1/2) (*.f64 #s(literal -1/6 binary64) y))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) #s(approx (+ (* -1/6 y) 1/2) (*.f64 #s(literal -1/6 binary64) y))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) #s(approx (+ (* -1/6 y) 1/2) (*.f64 #s(literal -1/6 binary64) y))) y #s(literal -1 binary64)) y #s(literal 1 binary64)) |
(fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) #s(approx (+ (* -1/6 y) 1/2) (*.f64 #s(literal -1/6 binary64) y))) y #s(literal -1 binary64)) |
#s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) #s(approx (+ (* -1/6 y) 1/2) (*.f64 #s(literal -1/6 binary64) y))) |
#s(approx (+ (* -1/6 y) 1/2) (*.f64 #s(literal -1/6 binary64) y)) |
(*.f64 #s(literal -1/6 binary64) y) |
#s(literal -1/6 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))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 x) 1/2) y) -1) (/.f64 #s(approx (+ (* (+ (* 1/2 y) -1) x) (* 1/2 y)) (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) x)) 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) (/.f64 #s(approx (+ (* (+ (* 1/2 y) -1) x) (* 1/2 y)) (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) x)) y #s(literal 1 binary64))) |
(fma.f64 #s(approx (+ (* (+ (/ 1/2 x) 1/2) y) -1) (/.f64 #s(approx (+ (* (+ (* 1/2 y) -1) x) (* 1/2 y)) (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) x)) y #s(literal 1 binary64)) |
#s(approx (+ (* (+ (/ 1/2 x) 1/2) y) -1) (/.f64 #s(approx (+ (* (+ (* 1/2 y) -1) x) (* 1/2 y)) (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) x)) |
(/.f64 #s(approx (+ (* (+ (* 1/2 y) -1) x) (* 1/2 y)) (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) x) |
#s(approx (+ (* (+ (* 1/2 y) -1) x) (* 1/2 y)) (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x) |
(fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) |
#s(literal 1/2 binary64) |
y |
#s(literal -1 binary64) |
x |
#s(literal 1 binary64) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* -1/6 y) 1/2) y) -1) x) (* (+ (* -1/2 y) 1/2) y)) x) (* -1/3 (* y y))) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/3 binary64)) y) y)) (*.f64 x x))) y #s(literal 1 binary64))) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* -1/6 y) 1/2) y) -1) x) (* (+ (* -1/2 y) 1/2) y)) x) (* -1/3 (* y y))) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/3 binary64)) y) y)) (*.f64 x x))) y #s(literal 1 binary64))) |
(fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* -1/6 y) 1/2) y) -1) x) (* (+ (* -1/2 y) 1/2) y)) x) (* -1/3 (* y y))) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/3 binary64)) y) y)) (*.f64 x x))) y #s(literal 1 binary64)) |
#s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* -1/6 y) 1/2) y) -1) x) (* (+ (* -1/2 y) 1/2) y)) x) (* -1/3 (* y y))) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/3 binary64)) y) y)) (*.f64 x x))) |
(/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* -1/6 y) 1/2) y) -1) x) (* (+ (* -1/2 y) 1/2) y)) x) (* -1/3 (* y y))) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/3 binary64)) y) y)) (*.f64 x x)) |
#s(approx (+ (* (+ (* (+ (* (+ (* -1/6 y) 1/2) y) -1) x) (* (+ (* -1/2 y) 1/2) y)) x) (* -1/3 (* y y))) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/3 binary64)) y) y)) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/3 binary64)) y) y) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/3 binary64)) y) |
(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) |
y |
(*.f64 x x) |
#s(literal 1 binary64) |
(/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (fma.f64 (fma.f64 (*.f64 (neg.f64 x) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)) y (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))) y (neg.f64 x)) y (neg.f64 x)))) |
#s(literal -1 binary64) |
#s(approx (* (neg x) (pow (/ (+ y x) x) x)) (fma.f64 (fma.f64 (*.f64 (neg.f64 x) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)) y (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))) y (neg.f64 x)) y (neg.f64 x))) |
(fma.f64 (fma.f64 (*.f64 (neg.f64 x) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)) y (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))) y (neg.f64 x)) y (neg.f64 x)) |
(fma.f64 (*.f64 (neg.f64 x) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)) y (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))) y (neg.f64 x)) |
(*.f64 (neg.f64 x) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)) y (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))) |
(neg.f64 x) |
x |
(fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)) y (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))) |
(-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)) |
(+.f64 (/.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) |
#s(literal 1/6 binary64) |
(/.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
y |
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) |
| Outputs |
|---|
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) #s(approx (+ (* -1/6 y) 1/2) (*.f64 #s(literal -1/6 binary64) y))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) #s(approx (+ (* -1/6 y) 1/2) (*.f64 #s(literal -1/6 binary64) y))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) #s(approx (+ (* -1/6 y) 1/2) (*.f64 #s(literal -1/6 binary64) y))) y #s(literal -1 binary64)) y #s(literal 1 binary64)) |
(fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) #s(approx (+ (* -1/6 y) 1/2) (*.f64 #s(literal -1/6 binary64) y))) y #s(literal -1 binary64)) |
#s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) #s(approx (+ (* -1/6 y) 1/2) (*.f64 #s(literal -1/6 binary64) y))) |
#s(approx (+ (* -1/6 y) 1/2) (*.f64 #s(literal -1/6 binary64) y)) |
(*.f64 #s(literal -1/6 binary64) y) |
#s(literal -1/6 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))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 x) 1/2) y) -1) (/.f64 #s(approx (+ (* (+ (* 1/2 y) -1) x) (* 1/2 y)) (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) x)) 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) (/.f64 #s(approx (+ (* (+ (* 1/2 y) -1) x) (* 1/2 y)) (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) x)) y #s(literal 1 binary64))) |
(fma.f64 #s(approx (+ (* (+ (/ 1/2 x) 1/2) y) -1) (/.f64 #s(approx (+ (* (+ (* 1/2 y) -1) x) (* 1/2 y)) (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) x)) y #s(literal 1 binary64)) |
#s(approx (+ (* (+ (/ 1/2 x) 1/2) y) -1) (/.f64 #s(approx (+ (* (+ (* 1/2 y) -1) x) (* 1/2 y)) (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) x)) |
(/.f64 #s(approx (+ (* (+ (* 1/2 y) -1) x) (* 1/2 y)) (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) x) |
#s(approx (+ (* (+ (* 1/2 y) -1) x) (* 1/2 y)) (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x) |
(fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) |
#s(literal 1/2 binary64) |
y |
#s(literal -1 binary64) |
x |
#s(literal 1 binary64) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* -1/6 y) 1/2) y) -1) x) (* (+ (* -1/2 y) 1/2) y)) x) (* -1/3 (* y y))) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/3 binary64)) y) y)) (*.f64 x x))) y #s(literal 1 binary64))) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* -1/6 y) 1/2) y) -1) x) (* (+ (* -1/2 y) 1/2) y)) x) (* -1/3 (* y y))) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/3 binary64)) y) y)) (*.f64 x x))) y #s(literal 1 binary64))) |
(fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* -1/6 y) 1/2) y) -1) x) (* (+ (* -1/2 y) 1/2) y)) x) (* -1/3 (* y y))) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/3 binary64)) y) y)) (*.f64 x x))) y #s(literal 1 binary64)) |
#s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* -1/6 y) 1/2) y) -1) x) (* (+ (* -1/2 y) 1/2) y)) x) (* -1/3 (* y y))) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/3 binary64)) y) y)) (*.f64 x x))) |
(/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* -1/6 y) 1/2) y) -1) x) (* (+ (* -1/2 y) 1/2) y)) x) (* -1/3 (* y y))) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/3 binary64)) y) y)) (*.f64 x x)) |
#s(approx (+ (* (+ (* (+ (* (+ (* -1/6 y) 1/2) y) -1) x) (* (+ (* -1/2 y) 1/2) y)) x) (* -1/3 (* y y))) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/3 binary64)) y) y)) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/3 binary64)) y) y) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/3 binary64)) y) |
(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) |
y |
(*.f64 x x) |
#s(literal 1 binary64) |
(/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (fma.f64 (fma.f64 (*.f64 (neg.f64 x) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)) y (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))) y (neg.f64 x)) y (neg.f64 x)))) |
(/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (neg.f64 (fma.f64 (fma.f64 (*.f64 y x) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)) y (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))) x) y x)))) |
#s(literal -1 binary64) |
#s(approx (* (neg x) (pow (/ (+ y x) x) x)) (fma.f64 (fma.f64 (*.f64 (neg.f64 x) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)) y (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))) y (neg.f64 x)) y (neg.f64 x))) |
#s(approx (* (neg x) (pow (/ (+ y x) x) x)) (neg.f64 (fma.f64 (fma.f64 (*.f64 y x) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)) y (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))) x) y x))) |
(fma.f64 (fma.f64 (*.f64 (neg.f64 x) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)) y (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))) y (neg.f64 x)) y (neg.f64 x)) |
(neg.f64 (fma.f64 (fma.f64 (*.f64 y x) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)) y (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))) x) y x)) |
(fma.f64 (*.f64 (neg.f64 x) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)) y (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))) y (neg.f64 x)) |
(*.f64 x (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal 1/2 binary64))) y #s(literal -1 binary64))) |
(*.f64 (neg.f64 x) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)) y (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))) |
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal 1/2 binary64))) x) |
(neg.f64 x) |
x |
(fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)) y (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))) |
(-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)) |
(+.f64 (/.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) |
#s(literal 1/6 binary64) |
(/.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
y |
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.4202257775112543 | (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) | |
| accuracy | 3.3372660972743313 | (*.f64 (neg.f64 x) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)) y (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))) | |
| accuracy | 6.185612695113335 | (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)) y (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))) | |
| accuracy | 15.254481705103426 | #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (fma.f64 (fma.f64 (*.f64 (neg.f64 x) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)) y (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))) y (neg.f64 x)) y (neg.f64 x))) | |
| accuracy | 4.584657031311652 | (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/3 binary64)) y) | |
| accuracy | 20.852676777418907 | #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* -1/6 y) 1/2) y) -1) x) (* (+ (* -1/2 y) 1/2) y)) x) (* -1/3 (* y y))) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/3 binary64)) y) y)) (*.f64 x x))) y #s(literal 1 binary64))) | |
| accuracy | 22.229463654048992 | (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* -1/6 y) 1/2) y) -1) x) (* (+ (* -1/2 y) 1/2) y)) x) (* -1/3 (* y y))) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/3 binary64)) y) y)) (*.f64 x x)) | |
| accuracy | 24.253599033760867 | #s(approx (+ (* (+ (* (+ (* (+ (* -1/6 y) 1/2) y) -1) x) (* (+ (* -1/2 y) 1/2) y)) x) (* -1/3 (* y y))) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/3 binary64)) y) y)) | |
| accuracy | 0.01953125 | (fma.f64 #s(approx (+ (* (+ (/ 1/2 x) 1/2) y) -1) (/.f64 #s(approx (+ (* (+ (* 1/2 y) -1) x) (* 1/2 y)) (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) x)) y #s(literal 1 binary64)) | |
| accuracy | 3.5400680292681104 | (/.f64 #s(approx (+ (* (+ (* 1/2 y) -1) x) (* 1/2 y)) (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) x) | |
| accuracy | 16.204945840709538 | #s(approx (+ (* (+ (* 1/2 y) -1) x) (* 1/2 y)) (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) | |
| accuracy | 19.538068933774852 | #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 x) 1/2) y) -1) (/.f64 #s(approx (+ (* (+ (* 1/2 y) -1) x) (* 1/2 y)) (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) x)) y #s(literal 1 binary64))) | |
| 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 | 17.329986158437077 | #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (- 1 y) (neg.f64 y))) | |
| accuracy | 36.80471510107237 | #s(approx (- 1 y) (neg.f64 y)) | |
| accuracy | 0.9659285354497982 | (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) #s(approx (+ (* -1/6 y) 1/2) (*.f64 #s(literal -1/6 binary64) y))) y #s(literal -1 binary64)) | |
| accuracy | 20.852676777418907 | #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) #s(approx (+ (* -1/6 y) 1/2) (*.f64 #s(literal -1/6 binary64) y))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) | |
| accuracy | 25.15618435643701 | #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) #s(approx (+ (* -1/6 y) 1/2) (*.f64 #s(literal -1/6 binary64) y))) | |
| accuracy | 36.81324863753918 | #s(approx (+ (* -1/6 y) 1/2) (*.f64 #s(literal -1/6 binary64) y)) |
| 136.0ms | 101× | 1 | valid |
| 101.0ms | 122× | 0 | valid |
| 25.0ms | 17× | 1 | exit |
| 8.0ms | 15× | 0 | exit |
| 3.0ms | 1× | 5 | exit |
Compiled 1 658 to 178 computations (89.3% saved)
ival-mult: 66.0ms (28.6% of total)ival-add: 40.0ms (17.3% of total)const: 36.0ms (15.6% of total)ival-log: 22.0ms (9.5% of total)adjust: 21.0ms (9.1% of total)ival-div: 19.0ms (8.2% of total)ival-pow: 16.0ms (6.9% of total)ival-sub: 4.0ms (1.7% of total)ival-exp: 3.0ms (1.3% of total)ival-neg: 2.0ms (0.9% of total)exact: 1.0ms (0.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) #s(approx (+ (* -1/6 y) 1/2) (*.f64 #s(literal -1/6 binary64) y))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) #s(approx (+ (* -1/6 y) 1/2) (*.f64 #s(literal -1/6 binary64) y))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) #s(approx (+ (* -1/6 y) 1/2) (*.f64 #s(literal -1/6 binary64) y))) y #s(literal -1 binary64)) y #s(literal 1 binary64)) |
(fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) #s(approx (+ (* -1/6 y) 1/2) (*.f64 #s(literal -1/6 binary64) y))) 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))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 x) 1/2) y) -1) (/.f64 #s(approx (+ (* (+ (* 1/2 y) -1) x) (* 1/2 y)) (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) x)) 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) (/.f64 #s(approx (+ (* (+ (* 1/2 y) -1) x) (* 1/2 y)) (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) x)) y #s(literal 1 binary64))) |
(fma.f64 #s(approx (+ (* (+ (/ 1/2 x) 1/2) y) -1) (/.f64 #s(approx (+ (* (+ (* 1/2 y) -1) x) (* 1/2 y)) (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) x)) y #s(literal 1 binary64)) |
#s(approx (+ (* (+ (/ 1/2 x) 1/2) y) -1) (/.f64 #s(approx (+ (* (+ (* 1/2 y) -1) x) (* 1/2 y)) (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) x)) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* -1/6 y) 1/2) y) -1) x) (* (+ (* -1/2 y) 1/2) y)) x) (* -1/3 (* y y))) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/3 binary64)) y) y)) (*.f64 x x))) y #s(literal 1 binary64))) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* -1/6 y) 1/2) y) -1) x) (* (+ (* -1/2 y) 1/2) y)) x) (* -1/3 (* y y))) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/3 binary64)) y) y)) (*.f64 x x))) y #s(literal 1 binary64))) |
(fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* -1/6 y) 1/2) y) -1) x) (* (+ (* -1/2 y) 1/2) y)) x) (* -1/3 (* y y))) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/3 binary64)) y) y)) (*.f64 x x))) y #s(literal 1 binary64)) |
#s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* -1/6 y) 1/2) y) -1) x) (* (+ (* -1/2 y) 1/2) y)) x) (* -1/3 (* y y))) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/3 binary64)) y) y)) (*.f64 x x))) |
(fma.f64 (*.f64 (neg.f64 x) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)) y (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))) y (neg.f64 x)) |
(*.f64 (neg.f64 x) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)) y (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))) |
(/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (fma.f64 (fma.f64 (*.f64 (neg.f64 x) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)) y (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))) y (neg.f64 x)) y (neg.f64 x)))) |
#s(approx (* (neg x) (pow (/ (+ y x) x) x)) (fma.f64 (fma.f64 (*.f64 (neg.f64 x) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)) y (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))) y (neg.f64 x)) y (neg.f64 x))) |
#s(approx (+ (* -1/6 y) 1/2) (*.f64 #s(literal -1/6 binary64) y)) |
#s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) #s(approx (+ (* -1/6 y) 1/2) (*.f64 #s(literal -1/6 binary64) y))) |
#s(approx (+ (* (+ (* 1/2 y) -1) x) (* 1/2 y)) (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) |
(/.f64 #s(approx (+ (* (+ (* 1/2 y) -1) x) (* 1/2 y)) (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) x) |
#s(approx (+ (* (+ (* (+ (* (+ (* -1/6 y) 1/2) y) -1) x) (* (+ (* -1/2 y) 1/2) y)) x) (* -1/3 (* y y))) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/3 binary64)) y) y)) |
(/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* -1/6 y) 1/2) y) -1) x) (* (+ (* -1/2 y) 1/2) y)) x) (* -1/3 (* y y))) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/3 binary64)) y) y)) (*.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)) y) |
(fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)) y (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))) |
(/.f64 #s(literal 1/3 binary64) (*.f64 x x)) |
| Outputs |
|---|
(/ 1 x) |
(/ (+ 1 (* x (+ (log x) (log (/ 1 y))))) x) |
(/ (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y))))))) x) |
(/ (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (* x (+ (* -1 (/ (+ (log x) (log (/ 1 y))) y)) (+ (* 1/6 (pow (+ (log x) (log (/ 1 y))) 3)) (* 1/2 (/ 1 (pow y 2))))))) (/ 1 y))))))) x) |
1 |
(+ 1 (* x (+ (log x) (log (/ 1 y))))) |
(+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y))))))) |
(+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (* x (+ (* -1 (/ (+ (log x) (log (/ 1 y))) y)) (+ (* 1/6 (pow (+ (log x) (log (/ 1 y))) 3)) (* 1/2 (/ 1 (pow y 2))))))) (/ 1 y))))))) |
(* -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 (/ y x)) |
(/ (+ (* 1/2 y) (* x (- (* 1/2 y) 1))) x) |
(* -1/3 (/ (pow y 2) x)) |
(/ (+ (* -1 (* x (* y (- (* -1/2 y) 1/2)))) (* -1/3 (pow y 2))) x) |
(/ (+ (* -1/3 (pow y 2)) (* x (+ (* -1 (* y (- (* -1/2 y) 1/2))) (* x (- (* -1 (* y (+ 1/2 (* 1/6 y)))) 1))))) x) |
(* -1/3 (/ y x)) |
(/ (+ (* -1 (* x (- (* -1/2 y) 1/2))) (* -1/3 y)) x) |
(/ (+ (* -1/3 y) (* x (+ (* -1 (* x (+ 1/2 (* 1/6 y)))) (* -1 (- (* -1/2 y) 1/2))))) x) |
(/ (+ 1 (* -1 (* x (+ (log y) (* -1 (log x)))))) x) |
(/ (+ 1 (* x (- (* -1 (* x (+ (* -1 (pow (+ (log y) (* -1 (log x))) 2)) (+ (* 1/2 (pow (+ (log y) (* -1 (log x))) 2)) (/ 1 y))))) (+ (log y) (* -1 (log x)))))) x) |
(/ (+ 1 (* x (- (* x (- (* x (- (* 1/2 (/ 1 (pow y 2))) (+ (* -1 (* (+ (log y) (* -1 (log x))) (+ (* -1 (pow (+ (log y) (* -1 (log x))) 2)) (+ (* 1/2 (pow (+ (log y) (* -1 (log x))) 2)) (/ 1 y))))) (+ (* -1 (* (+ (log y) (* -1 (log x))) (+ (* 1/2 (pow (+ (log y) (* -1 (log x))) 2)) (/ 1 y)))) (+ (* -1 (/ (log x) y)) (+ (* 1/6 (pow (+ (log y) (* -1 (log x))) 3)) (/ (log y) y))))))) (+ (* -1 (pow (+ (log y) (* -1 (log x))) 2)) (+ (* 1/2 (pow (+ (log y) (* -1 (log x))) 2)) (/ 1 y))))) (+ (log y) (* -1 (log x)))))) x) |
(* -1 x) |
(* x (- (* -1 (* x (+ (log y) (* -1 (log x))))) 1)) |
(* x (- (* x (+ (* -1 (* x (+ (* 1/2 (pow (+ (log y) (* -1 (log x))) 2)) (/ 1 y)))) (* -1 (+ (log y) (* -1 (log x)))))) 1)) |
(* x (- (* x (+ (* -1 (+ (log y) (* -1 (log x)))) (* x (+ (* -1 (* x (- (+ (* -1 (/ (log x) y)) (+ (* 1/6 (pow (+ (log y) (* -1 (log x))) 3)) (/ (log y) y))) (* 1/2 (/ 1 (pow y 2)))))) (* -1 (+ (* 1/2 (pow (+ (log y) (* -1 (log x))) 2)) (/ 1 y))))))) 1)) |
(* -1/3 (/ 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)) |
(* 1/2 y) |
(+ (* 1/2 y) (* x (- (* 1/2 y) 1))) |
(* -1/3 (pow y 2)) |
(+ (* -1/3 (pow y 2)) (* x (* y (+ 1/2 (* -1/2 y))))) |
(+ (* -1/3 (pow y 2)) (* x (+ (* x (- (* y (+ 1/2 (* -1/6 y))) 1)) (* y (+ 1/2 (* -1/2 y)))))) |
(* -1/3 y) |
(+ (* -1/2 (* x y)) (* -1/3 y)) |
(+ (* -1/3 y) (* x (+ (* -1/2 y) (* -1/6 (* x y))))) |
(* 1/3 (/ y (pow x 2))) |
(/ (+ (* 1/3 y) (* x (- (* -1/2 y) 1/2))) (pow x 2)) |
(/ (+ (* 1/3 y) (* x (- (+ (* -1/2 y) (* x (+ 1/2 (* 1/6 y)))) 1/2))) (pow x 2)) |
(/ 1/3 (pow x 2)) |
(/ (exp (* -1 y)) x) |
(/ (+ (exp (* -1 y)) (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) x) |
(/ (+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2)))) x) |
(/ (+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (+ (/ (* (exp (* -1 y)) (+ (* 1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (+ (* 1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) (pow x 3)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2))))) x) |
(exp (* -1 y)) |
(+ (exp (* -1 y)) (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) |
(+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2)))) |
(+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (+ (/ (* (exp (* -1 y)) (+ (* 1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (+ (* 1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) (pow x 3)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2))))) |
(+ 1 (* y (- (* 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)))) |
(- (* 1/2 y) 1) |
(- (+ (* 1/2 y) (* 1/2 (/ y x))) 1) |
(* x (- (* -1 (* y (+ 1/2 (* 1/6 y)))) 1)) |
(* x (- (+ (* -1 (* y (+ 1/2 (* 1/6 y)))) (* -1 (/ (* y (- (* -1/2 y) 1/2)) x))) 1)) |
(* x (- (+ (* -1 (* y (+ 1/2 (* 1/6 y)))) (+ (* -1 (/ (* y (- (* -1/2 y) 1/2)) x)) (* -1/3 (/ (pow y 2) (pow x 2))))) 1)) |
(* -1 (* x (+ 1/2 (* 1/6 y)))) |
(* x (+ (* -1 (+ 1/2 (* 1/6 y))) (* -1 (/ (- (* -1/2 y) 1/2) x)))) |
(* x (+ (* -1 (+ 1/2 (* 1/6 y))) (+ (* -1 (/ (- (* -1/2 y) 1/2) x)) (* -1/3 (/ y (pow x 2)))))) |
(/ 1 (* x (exp y))) |
(/ (+ (* 1/2 (/ (pow y 2) (* x (exp y)))) (/ 1 (exp y))) x) |
(/ (- (+ (* -1 (/ (+ (* -1/4 (/ (pow y 4) (exp y))) (+ (* 1/8 (/ (pow y 4) (exp y))) (* 1/3 (/ (pow y 3) (exp y))))) (pow x 2))) (/ 1 (exp y))) (* -1/2 (/ (pow y 2) (* x (exp y))))) x) |
(/ (- (+ (* -1 (/ (+ (* -1/4 (/ (pow y 4) (exp y))) (+ (* -1/6 (/ (pow y 5) (exp y))) (+ (* -1/48 (/ (pow y 6) (exp y))) (+ (* 1/2 (* (pow y 2) (+ (* -1/4 (/ (pow y 4) (exp y))) (+ (* 1/8 (/ (pow y 4) (exp y))) (* 1/3 (/ (pow y 3) (exp y))))))) (* 1/2 (/ (* (pow y 2) (+ (* 1/8 (pow y 4)) (* 1/3 (pow y 3)))) (exp y))))))) (pow x 3))) (/ 1 (exp y))) (+ (* -1/2 (/ (pow y 2) (* x (exp y)))) (+ (* -1/4 (/ (pow y 4) (* (pow x 2) (exp y)))) (+ (* 1/8 (/ (pow y 4) (* (pow x 2) (exp y)))) (* 1/3 (/ (pow y 3) (* (pow x 2) (exp y)))))))) x) |
(* -1 (* x (exp y))) |
(* x (+ (* -1 (exp y)) (* 1/2 (/ (* (pow y 2) (exp y)) x)))) |
(* x (+ (* -1 (exp y)) (+ (* -1 (/ (* (exp y) (+ (* 1/8 (pow y 4)) (* 1/3 (pow y 3)))) (pow x 2))) (* 1/2 (/ (* (pow y 2) (exp y)) x))))) |
(* x (+ (* -1 (exp y)) (+ (* -1 (/ (* (exp y) (+ (* -1/4 (pow y 4)) (+ (* -1/6 (pow y 5)) (* -1/48 (pow y 6))))) (pow x 3))) (+ (* -1 (/ (* (exp y) (+ (* 1/8 (pow y 4)) (* 1/3 (pow y 3)))) (pow x 2))) (* 1/2 (/ (* (pow y 2) (exp y)) x)))))) |
(+ 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)))))) |
(* x (- (* 1/2 y) 1)) |
(* x (- (+ (* 1/2 y) (* 1/2 (/ y x))) 1)) |
(* (pow x 2) (- (* y (+ 1/2 (* -1/6 y))) 1)) |
(* (pow x 2) (- (+ (* y (+ 1/2 (* -1/6 y))) (/ (* y (+ 1/2 (* -1/2 y))) x)) 1)) |
(* (pow x 2) (- (+ (* -1/3 (/ (pow y 2) (pow x 2))) (+ (* y (+ 1/2 (* -1/6 y))) (/ (* y (+ 1/2 (* -1/2 y))) x))) 1)) |
(* -1/6 (* (pow x 2) y)) |
(* (pow x 2) (+ (* -1/2 (/ y x)) (* -1/6 y))) |
(* (pow x 2) (+ (* -1/2 (/ y x)) (+ (* -1/3 (/ y (pow x 2))) (* -1/6 y)))) |
(+ 1/2 (* 1/6 y)) |
(- (+ 1/2 (+ (* -1/2 (/ y x)) (* 1/6 y))) (* 1/2 (/ 1 x))) |
(- (+ 1/2 (+ (* -1/2 (/ y x)) (+ (* 1/6 y) (* 1/3 (/ y (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 (* y (+ 1/2 (* 1/6 y)))))) |
(* -1 (* x (+ 1 (+ (* -1 (/ (* y (+ 1/2 (* 1/2 y))) x)) (* y (+ 1/2 (* 1/6 y))))))) |
(* -1 (* x (+ 1 (+ (* -1 (/ (+ (* -1/3 (/ (pow y 2) x)) (* y (+ 1/2 (* 1/2 y)))) x)) (* y (+ 1/2 (* 1/6 y))))))) |
(* -1 (* x (+ 1/2 (+ (* -1 (/ (+ 1/2 (* 1/2 y)) x)) (* 1/6 y))))) |
(* -1 (* x (+ 1/2 (+ (* -1 (/ (+ 1/2 (+ (* -1/3 (/ y x)) (* 1/2 y))) x)) (* 1/6 y))))) |
(* -1 (/ (- (* -1/2 (/ (pow y 2) (* x (exp y)))) (/ 1 (exp y))) x)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (pow y 4) (exp y))) (+ (* 1/8 (/ (pow y 4) (exp y))) (* 1/3 (/ (pow y 3) (exp y))))) x)) (* 1/2 (/ (pow y 2) (exp y)))) x)) (/ 1 (exp y))) x)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow y 2) (+ (* -1/4 (/ (pow y 4) (exp y))) (+ (* 1/8 (/ (pow y 4) (exp y))) (* 1/3 (/ (pow y 3) (exp y))))))) (+ (* -1/2 (/ (* (pow y 2) (+ (* 1/8 (pow y 4)) (* 1/3 (pow y 3)))) (exp y))) (+ (* 1/48 (/ (pow y 6) (exp y))) (+ (* 1/6 (/ (pow y 5) (exp y))) (* 1/4 (/ (pow y 4) (exp y))))))) x)) (+ (* -1/4 (/ (pow y 4) (exp y))) (+ (* 1/8 (/ (pow y 4) (exp y))) (* 1/3 (/ (pow y 3) (exp y)))))) x)) (* 1/2 (/ (pow y 2) (exp y)))) x)) (/ 1 (exp y))) x)) |
(* -1 (* x (+ (exp y) (* -1/2 (/ (* (pow y 2) (exp y)) x))))) |
(* -1 (* x (+ (exp y) (* -1 (/ (+ (* -1 (/ (* (exp y) (+ (* 1/8 (pow y 4)) (* 1/3 (pow y 3)))) x)) (* 1/2 (* (pow y 2) (exp y)))) x))))) |
(* -1 (* x (+ (exp y) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp y) (+ (* 1/48 (pow y 6)) (+ (* 1/6 (pow y 5)) (* 1/4 (pow y 4))))) x)) (* (exp y) (+ (* 1/8 (pow y 4)) (* 1/3 (pow y 3))))) x)) (* 1/2 (* (pow y 2) (exp y)))) x))))) |
(+ 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 (* x (+ (* -1 (- (* 1/2 y) 1)) (* -1/2 (/ y x))))) |
(* (pow x 2) (- (+ (* -1 (/ (+ (* -1 (* y (+ 1/2 (* -1/2 y)))) (* 1/3 (/ (pow y 2) x))) x)) (* y (+ 1/2 (* -1/6 y)))) 1)) |
(- (+ (* -1 (/ (+ (* -1 (* y (+ 1/2 (* -1/2 y)))) (* 1/3 (/ (pow y 2) x))) x)) (* y (+ 1/2 (* -1/6 y)))) 1) |
(* (pow x 2) (+ (* -1 (/ (+ (* 1/3 (/ y x)) (* 1/2 y)) x)) (* -1/6 y))) |
(+ 1/2 (+ (* -1 (/ (+ 1/2 (* 1/2 y)) x)) (* 1/6 y))) |
(+ 1/2 (+ (* -1 (/ (+ 1/2 (+ (* -1/3 (/ y x)) (* 1/2 y))) 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) |
(* -1 y) |
(- (* -1 (* x (* y (- 1/2 (* 1/2 (/ 1 x)))))) x) |
(- (* y (+ (* -1 (* x (* y (- (+ 1/6 (* 1/3 (/ 1 (pow x 2)))) (* 1/2 (/ 1 x)))))) (* -1 (* x (- 1/2 (* 1/2 (/ 1 x))))))) x) |
(* -1 (* x (- 1/2 (* 1/2 (/ 1 x))))) |
(+ (* -1 (* x (* y (- (+ 1/6 (* 1/3 (/ 1 (pow x 2)))) (* 1/2 (/ 1 x)))))) (* -1 (* x (- 1/2 (* 1/2 (/ 1 x)))))) |
(+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (* y (- (* 1/2 (/ 1 (pow x 2))) (+ (* -1 (/ (- 1/2 (* 1/2 (/ 1 x))) x)) (+ (* 1/6 (/ 1 x)) (+ (* 1/3 (/ 1 (pow x 3))) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))))))))) (/ 1 x))) (/ 1 x)) |
(+ (* -1 x) (* -1 (* x y))) |
(+ (* -1 x) (* y (+ (* -1 x) (* -1 (* x (* y (- 1/2 (* 1/2 (/ 1 x))))))))) |
(+ (* -1 x) (* y (+ (* -1 x) (* y (+ (* -1 (* x (* y (- (+ 1/6 (* 1/3 (/ 1 (pow x 2)))) (* 1/2 (/ 1 x)))))) (* -1 (* x (- 1/2 (* 1/2 (/ 1 x)))))))))) |
1/2 |
(+ 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 x) (* y (+ 1/2 (* 1/2 x)))) |
(* -1 (pow x 2)) |
(+ (* -1 (pow x 2)) (* x (* y (+ 1/2 (* 1/2 x))))) |
(+ (* -1 (pow x 2)) (* y (+ (* x (+ 1/2 (* 1/2 x))) (* y (- (* x (- (* -1/6 x) 1/2)) 1/3))))) |
(* y (- (* x (- (* -1/6 x) 1/2)) 1/3)) |
(- 1/2 (* 1/2 (/ 1 x))) |
(- (+ 1/2 (* 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)))) |
(* 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))) |
(* y (+ 1/2 (* 1/2 (/ 1 x)))) |
(* y (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1 y))) |
(* -1 (* x (* (pow y 2) (- (+ 1/6 (* 1/3 (/ 1 (pow x 2)))) (* 1/2 (/ 1 x)))))) |
(* (pow y 2) (+ (* -1 (* x (- (+ 1/6 (* 1/3 (/ 1 (pow x 2)))) (* 1/2 (/ 1 x))))) (* -1 (/ (* x (- 1/2 (* 1/2 (/ 1 x)))) y)))) |
(* (pow y 2) (+ (* -1 (* x (- (+ 1/6 (* 1/3 (/ 1 (pow x 2)))) (* 1/2 (/ 1 x))))) (+ (* -1 (/ x (pow y 2))) (* -1 (/ (* x (- 1/2 (* 1/2 (/ 1 x)))) y))))) |
(* -1 (* x (* y (- (+ 1/6 (* 1/3 (/ 1 (pow x 2)))) (* 1/2 (/ 1 x)))))) |
(* y (+ (* -1 (* x (- (+ 1/6 (* 1/3 (/ 1 (pow x 2)))) (* 1/2 (/ 1 x))))) (* -1 (/ (* x (- 1/2 (* 1/2 (/ 1 x)))) y)))) |
(/ 1 (* x (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y)))))))) |
(+ (* -1 (/ x (* y (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y))))))))) (/ 1 (* x (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y))))))))) |
(- (+ (* -1 (/ (+ (* -1 (/ (pow x 3) (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y)))))))) (+ (* -1/2 (/ (pow x 2) (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y)))))))) (* 1/2 (/ (pow x 3) (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y)))))))))) (pow y 2))) (/ 1 (* x (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y))))))))) (/ x (* y (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y))))))))) |
(- (+ (* -1 (/ (+ (* -1 (* (pow x 2) (+ (* -1 (/ (pow x 3) (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y)))))))) (+ (* -1/2 (/ (pow x 2) (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y)))))))) (* 1/2 (/ (pow x 3) (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y)))))))))))) (+ (* -1 (/ (* x (+ (* -1/2 (pow x 3)) (* 1/2 (pow x 4)))) (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y)))))))) (+ (* -1/2 (/ (pow x 4) (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y)))))))) (+ (* 1/6 (/ (pow x 5) (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y)))))))) (* 1/3 (/ (pow x 3) (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y)))))))))))) (pow y 3))) (/ 1 (* x (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y))))))))) (+ (* -1 (/ (pow x 3) (* (pow y 2) (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y))))))))) (+ (* -1/2 (/ (pow x 2) (* (pow y 2) (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y))))))))) (+ (* 1/2 (/ (pow x 3) (* (pow y 2) (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y))))))))) (/ x (* y (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y)))))))))))) |
(* -1 (* x (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y)))))))) |
(+ (* -1 (* x (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y)))))))) (* -1 (/ (* (pow x 3) (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y))))))) y))) |
(+ (* -1 (* x (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y)))))))) (+ (* -1 (/ (* x (* (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y)))))) (+ (* -1/2 (pow x 3)) (* 1/2 (pow x 4))))) (pow y 2))) (* -1 (/ (* (pow x 3) (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y))))))) y)))) |
(+ (* -1 (* x (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y)))))))) (+ (* -1 (/ (* x (* (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y)))))) (+ (* -1/2 (pow x 3)) (* 1/2 (pow x 4))))) (pow y 2))) (+ (* -1 (/ (* x (* (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y)))))) (+ (* -1/2 (pow x 5)) (+ (* 1/6 (pow x 6)) (* 1/3 (pow x 4)))))) (pow y 3))) (* -1 (/ (* (pow x 3) (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y))))))) y))))) |
(* -1/6 y) |
(* y (- (* 1/2 (/ 1 y)) 1/6)) |
(* -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))))) |
(* y (+ 1/2 (* 1/2 x))) |
(* y (+ 1/2 (+ (* -1 (/ x y)) (* 1/2 x)))) |
(/ (* y (+ 1/2 (* 1/2 x))) x) |
(* (pow y 2) (- (* x (- (* -1/6 x) 1/2)) 1/3)) |
(* (pow y 2) (- (+ (* x (- (* -1/6 x) 1/2)) (/ (* x (+ 1/2 (* 1/2 x))) y)) 1/3)) |
(* (pow y 2) (- (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (* x (- (* -1/6 x) 1/2)) (/ (* x (+ 1/2 (* 1/2 x))) y))) 1/3)) |
(/ (* (pow y 2) (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 2)) |
(* (pow y 2) (- (+ (/ 1/2 (* x y)) (+ (* 1/2 (/ 1 y)) (/ (- (* -1/6 x) 1/2) x))) (* 1/3 (/ 1 (pow x 2))))) |
(* (pow y 2) (- (+ (/ 1/2 (* x y)) (+ (* 1/2 (/ 1 y)) (/ (- (* -1/6 x) 1/2) x))) (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow y 2))))) |
(* y (- (+ 1/6 (* 1/3 (/ 1 (pow x 2)))) (* 1/2 (/ 1 x)))) |
(* y (- (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 y)))) (+ (* 1/2 (/ 1 x)) (/ 1/2 (* x y))))) |
(/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x) |
(+ (* -1 (/ (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x)) |
(+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x y))) (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3)))))) (+ (* 1/6 (pow x 6)) (* 1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))))) (* x y))) (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) x)) y)) (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x)) |
(exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) |
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))) y))) |
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) y)) (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y))) |
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3)))))) (+ (* 1/6 (pow x 6)) (* 1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))))) y)) (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4))))) y)) (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y))) |
(* -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))))) |
(* -1 (* y (+ (* -1 (+ 1/2 (* 1/2 (/ 1 x)))) (/ 1 y)))) |
(* (pow y 2) (+ (* -1 (* x (- (+ 1/6 (* 1/3 (/ 1 (pow x 2)))) (* 1/2 (/ 1 x))))) (* -1 (/ (+ (* x (- 1/2 (* 1/2 (/ 1 x)))) (/ x y)) y)))) |
(* -1 (* y (+ (* x (- (+ 1/6 (* 1/3 (/ 1 (pow x 2)))) (* 1/2 (/ 1 x)))) (/ (* x (- 1/2 (* 1/2 (/ 1 x)))) y)))) |
(/ 1 (* x (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y)))))))) |
(+ (* -1 (/ x (* y (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))))) (/ 1 (* x (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))))) |
(+ (* -1 (/ (- (+ (* -1 (/ (pow x 3) (* y (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))))) (+ (* -1/2 (/ (pow x 2) (* y (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))))) (* 1/2 (/ (pow x 3) (* y (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))))))) (* -1 (/ x (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))))) y)) (/ 1 (* x (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))))) |
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/3 (/ (pow x 3) (* y (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))))) (+ (* -1/6 (/ (pow x 5) (* y (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))))) (+ (* 1/2 (/ (pow x 4) (* y (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))))) (+ (/ (* x (+ (* -1/2 (pow x 3)) (* 1/2 (pow x 4)))) (* y (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y)))))))) (/ (* (pow x 2) (+ (* -1 (/ (pow x 3) (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y)))))))) (+ (* -1/2 (/ (pow x 2) (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y)))))))) (* 1/2 (/ (pow x 3) (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))))))) y))))) (+ (* -1 (/ (pow x 3) (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y)))))))) (+ (* -1/2 (/ (pow x 2) (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y)))))))) (* 1/2 (/ (pow x 3) (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))))))) y)) (* -1 (/ x (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))))) y)) (/ 1 (* x (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))))) |
(* -1 (* x (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y)))))))) |
(+ (* -1 (* x (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y)))))))) (* -1 (/ (* (pow x 3) (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))) y))) |
(+ (* -1 (* x (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y)))))))) (* -1 (/ (+ (* (pow x 3) (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))) (/ (* x (* (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y)))))) (+ (* -1/2 (pow x 3)) (* 1/2 (pow x 4))))) y)) y))) |
(+ (* -1 (* x (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y)))))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* x (* (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y)))))) (+ (* -1/2 (pow x 3)) (* 1/2 (pow x 4)))))) (/ (* x (* (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y)))))) (+ (* -1/3 (pow x 4)) (+ (* -1/6 (pow x 6)) (* 1/2 (pow x 5)))))) y)) y)) (* (pow x 3) (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y)))))))) y))) |
(* -1 (* y (- 1/6 (* 1/2 (/ 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 (* y (- (* -1/2 x) 1/2))) |
(* -1 (* y (- (+ (* -1/2 x) (/ x y)) 1/2))) |
(* -1 (/ (* y (- (* -1/2 x) 1/2)) x)) |
(* -1 (* y (- (+ -1/2 (/ 1 y)) (* 1/2 (/ 1 x))))) |
(* (pow y 2) (- (+ (* -1 (/ (* x (- (* -1/2 x) 1/2)) y)) (* x (- (* -1/6 x) 1/2))) 1/3)) |
(* (pow y 2) (- (+ (* -1 (/ (+ (* x (- (* -1/2 x) 1/2)) (/ (pow x 2) y)) y)) (* x (- (* -1/6 x) 1/2))) 1/3)) |
(* (pow y 2) (- (+ (* -1 (/ (- (/ 1 y) (+ 1/2 (* 1/2 (/ 1 x)))) y)) (/ (- (* -1/6 x) 1/2) x)) (* 1/3 (/ 1 (pow x 2))))) |
(* -1 (* y (+ (* -1 (- (+ 1/6 (* 1/3 (/ 1 (pow x 2)))) (* 1/2 (/ 1 x)))) (* -1 (/ (- 1/2 (* 1/2 (/ 1 x))) y))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 10.0ms | y | @ | -inf | ((/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) y) 1) (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (- 1 y) (neg y) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (+ (* (+ (/ 1/2 x) 1/2) y) -1) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) y) 1) (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) (+ (* (* (neg x) (+ (* (- (+ (/ 1/3 (* x x)) 1/6) (/ 1/2 x)) y) (- 1/2 (/ 1/2 x)))) y) (neg x)) (* (neg x) (+ (* (- (+ (/ 1/3 (* x x)) 1/6) (/ 1/2 x)) y) (- 1/2 (/ 1/2 x)))) (/ -1 (* (neg x) (pow (/ (+ y x) x) x))) (* (neg x) (pow (/ (+ y x) x) x)) (+ (* -1/6 y) 1/2) (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) (+ (* (+ (* 1/2 y) -1) x) (* 1/2 y)) (/ (+ (* (+ (* 1/2 y) -1) x) (* 1/2 y)) x) (+ (* (+ (* (+ (* (+ (* -1/6 y) 1/2) y) -1) x) (* (+ (* -1/2 y) 1/2) y)) x) (* -1/3 (* y y))) (/ (+ (* (+ (* (+ (* (+ (* -1/6 y) 1/2) y) -1) x) (* (+ (* -1/2 y) 1/2) y)) x) (* -1/3 (* y y))) (* x x)) (* (+ (* (+ (* -1/6 x) -1/2) x) -1/3) y) (+ (* (- (+ (/ 1/3 (* x x)) 1/6) (/ 1/2 x)) y) (- 1/2 (/ 1/2 x))) (/ 1/3 (* x x))) |
| 5.0ms | y | @ | inf | ((/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) y) 1) (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (- 1 y) (neg y) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (+ (* (+ (/ 1/2 x) 1/2) y) -1) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) y) 1) (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) (+ (* (* (neg x) (+ (* (- (+ (/ 1/3 (* x x)) 1/6) (/ 1/2 x)) y) (- 1/2 (/ 1/2 x)))) y) (neg x)) (* (neg x) (+ (* (- (+ (/ 1/3 (* x x)) 1/6) (/ 1/2 x)) y) (- 1/2 (/ 1/2 x)))) (/ -1 (* (neg x) (pow (/ (+ y x) x) x))) (* (neg x) (pow (/ (+ y x) x) x)) (+ (* -1/6 y) 1/2) (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) (+ (* (+ (* 1/2 y) -1) x) (* 1/2 y)) (/ (+ (* (+ (* 1/2 y) -1) x) (* 1/2 y)) x) (+ (* (+ (* (+ (* (+ (* -1/6 y) 1/2) y) -1) x) (* (+ (* -1/2 y) 1/2) y)) x) (* -1/3 (* y y))) (/ (+ (* (+ (* (+ (* (+ (* -1/6 y) 1/2) y) -1) x) (* (+ (* -1/2 y) 1/2) y)) x) (* -1/3 (* y y))) (* x x)) (* (+ (* (+ (* -1/6 x) -1/2) x) -1/3) y) (+ (* (- (+ (/ 1/3 (* x x)) 1/6) (/ 1/2 x)) y) (- 1/2 (/ 1/2 x))) (/ 1/3 (* x x))) |
| 4.0ms | x | @ | inf | ((/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) y) 1) (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (- 1 y) (neg y) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (+ (* (+ (/ 1/2 x) 1/2) y) -1) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) y) 1) (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) (+ (* (* (neg x) (+ (* (- (+ (/ 1/3 (* x x)) 1/6) (/ 1/2 x)) y) (- 1/2 (/ 1/2 x)))) y) (neg x)) (* (neg x) (+ (* (- (+ (/ 1/3 (* x x)) 1/6) (/ 1/2 x)) y) (- 1/2 (/ 1/2 x)))) (/ -1 (* (neg x) (pow (/ (+ y x) x) x))) (* (neg x) (pow (/ (+ y x) x) x)) (+ (* -1/6 y) 1/2) (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) (+ (* (+ (* 1/2 y) -1) x) (* 1/2 y)) (/ (+ (* (+ (* 1/2 y) -1) x) (* 1/2 y)) x) (+ (* (+ (* (+ (* (+ (* -1/6 y) 1/2) y) -1) x) (* (+ (* -1/2 y) 1/2) y)) x) (* -1/3 (* y y))) (/ (+ (* (+ (* (+ (* (+ (* -1/6 y) 1/2) y) -1) x) (* (+ (* -1/2 y) 1/2) y)) x) (* -1/3 (* y y))) (* x x)) (* (+ (* (+ (* -1/6 x) -1/2) x) -1/3) y) (+ (* (- (+ (/ 1/3 (* x x)) 1/6) (/ 1/2 x)) y) (- 1/2 (/ 1/2 x))) (/ 1/3 (* x x))) |
| 4.0ms | x | @ | -inf | ((/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) y) 1) (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (- 1 y) (neg y) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (+ (* (+ (/ 1/2 x) 1/2) y) -1) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) y) 1) (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) (+ (* (* (neg x) (+ (* (- (+ (/ 1/3 (* x x)) 1/6) (/ 1/2 x)) y) (- 1/2 (/ 1/2 x)))) y) (neg x)) (* (neg x) (+ (* (- (+ (/ 1/3 (* x x)) 1/6) (/ 1/2 x)) y) (- 1/2 (/ 1/2 x)))) (/ -1 (* (neg x) (pow (/ (+ y x) x) x))) (* (neg x) (pow (/ (+ y x) x) x)) (+ (* -1/6 y) 1/2) (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) (+ (* (+ (* 1/2 y) -1) x) (* 1/2 y)) (/ (+ (* (+ (* 1/2 y) -1) x) (* 1/2 y)) x) (+ (* (+ (* (+ (* (+ (* -1/6 y) 1/2) y) -1) x) (* (+ (* -1/2 y) 1/2) y)) x) (* -1/3 (* y y))) (/ (+ (* (+ (* (+ (* (+ (* -1/6 y) 1/2) y) -1) x) (* (+ (* -1/2 y) 1/2) y)) x) (* -1/3 (* y y))) (* x x)) (* (+ (* (+ (* -1/6 x) -1/2) x) -1/3) y) (+ (* (- (+ (/ 1/3 (* x x)) 1/6) (/ 1/2 x)) y) (- 1/2 (/ 1/2 x))) (/ 1/3 (* x x))) |
| 4.0ms | x | @ | 0 | ((/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) y) 1) (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (- 1 y) (neg y) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (+ (* (+ (/ 1/2 x) 1/2) y) -1) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) y) 1) (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) (+ (* (* (neg x) (+ (* (- (+ (/ 1/3 (* x x)) 1/6) (/ 1/2 x)) y) (- 1/2 (/ 1/2 x)))) y) (neg x)) (* (neg x) (+ (* (- (+ (/ 1/3 (* x x)) 1/6) (/ 1/2 x)) y) (- 1/2 (/ 1/2 x)))) (/ -1 (* (neg x) (pow (/ (+ y x) x) x))) (* (neg x) (pow (/ (+ y x) x) x)) (+ (* -1/6 y) 1/2) (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) (+ (* (+ (* 1/2 y) -1) x) (* 1/2 y)) (/ (+ (* (+ (* 1/2 y) -1) x) (* 1/2 y)) x) (+ (* (+ (* (+ (* (+ (* -1/6 y) 1/2) y) -1) x) (* (+ (* -1/2 y) 1/2) y)) x) (* -1/3 (* y y))) (/ (+ (* (+ (* (+ (* (+ (* -1/6 y) 1/2) y) -1) x) (* (+ (* -1/2 y) 1/2) y)) x) (* -1/3 (* y y))) (* x x)) (* (+ (* (+ (* -1/6 x) -1/2) x) -1/3) y) (+ (* (- (+ (/ 1/3 (* x x)) 1/6) (/ 1/2 x)) y) (- 1/2 (/ 1/2 x))) (/ 1/3 (* x x))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1118 | 6670 |
| 1 | 3672 | 6241 |
| 0 | 8429 | 5869 |
| 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))))))) |
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(* -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)) |
(* -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 (/ y x)) |
(/ (+ (* 1/2 y) (* x (- (* 1/2 y) 1))) x) |
(* -1/3 (/ (pow y 2) x)) |
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(/ (+ 1 (* -1 (* x (+ (log y) (* -1 (log x)))))) x) |
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(/ (+ 1 (* x (- (* x (- (* x (- (* 1/2 (/ 1 (pow y 2))) (+ (* -1 (* (+ (log y) (* -1 (log x))) (+ (* -1 (pow (+ (log y) (* -1 (log x))) 2)) (+ (* 1/2 (pow (+ (log y) (* -1 (log x))) 2)) (/ 1 y))))) (+ (* -1 (* (+ (log y) (* -1 (log x))) (+ (* 1/2 (pow (+ (log y) (* -1 (log x))) 2)) (/ 1 y)))) (+ (* -1 (/ (log x) y)) (+ (* 1/6 (pow (+ (log y) (* -1 (log x))) 3)) (/ (log y) y))))))) (+ (* -1 (pow (+ (log y) (* -1 (log x))) 2)) (+ (* 1/2 (pow (+ (log y) (* -1 (log x))) 2)) (/ 1 y))))) (+ (log y) (* -1 (log x)))))) x) |
(* -1 x) |
(* x (- (* -1 (* x (+ (log y) (* -1 (log x))))) 1)) |
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(* x (- (* x (+ (* -1 (+ (log y) (* -1 (log x)))) (* x (+ (* -1 (* x (- (+ (* -1 (/ (log x) y)) (+ (* 1/6 (pow (+ (log y) (* -1 (log x))) 3)) (/ (log y) y))) (* 1/2 (/ 1 (pow y 2)))))) (* -1 (+ (* 1/2 (pow (+ (log y) (* -1 (log x))) 2)) (/ 1 y))))))) 1)) |
(* -1/3 (/ 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)) |
(* 1/2 y) |
(+ (* 1/2 y) (* x (- (* 1/2 y) 1))) |
(* -1/3 (pow y 2)) |
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(* -1/3 y) |
(+ (* -1/2 (* x y)) (* -1/3 y)) |
(+ (* -1/3 y) (* x (+ (* -1/2 y) (* -1/6 (* x y))))) |
(* 1/3 (/ y (pow x 2))) |
(/ (+ (* 1/3 y) (* x (- (* -1/2 y) 1/2))) (pow x 2)) |
(/ (+ (* 1/3 y) (* x (- (+ (* -1/2 y) (* x (+ 1/2 (* 1/6 y)))) 1/2))) (pow x 2)) |
(/ 1/3 (pow x 2)) |
(/ (exp (* -1 y)) x) |
(/ (+ (exp (* -1 y)) (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) x) |
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(exp (* -1 y)) |
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(+ 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)))) |
(- (* 1/2 y) 1) |
(- (+ (* 1/2 y) (* 1/2 (/ y x))) 1) |
(* x (- (* -1 (* y (+ 1/2 (* 1/6 y)))) 1)) |
(* x (- (+ (* -1 (* y (+ 1/2 (* 1/6 y)))) (* -1 (/ (* y (- (* -1/2 y) 1/2)) x))) 1)) |
(* x (- (+ (* -1 (* y (+ 1/2 (* 1/6 y)))) (+ (* -1 (/ (* y (- (* -1/2 y) 1/2)) x)) (* -1/3 (/ (pow y 2) (pow x 2))))) 1)) |
(* -1 (* x (+ 1/2 (* 1/6 y)))) |
(* x (+ (* -1 (+ 1/2 (* 1/6 y))) (* -1 (/ (- (* -1/2 y) 1/2) x)))) |
(* x (+ (* -1 (+ 1/2 (* 1/6 y))) (+ (* -1 (/ (- (* -1/2 y) 1/2) x)) (* -1/3 (/ y (pow x 2)))))) |
(/ 1 (* x (exp y))) |
(/ (+ (* 1/2 (/ (pow y 2) (* x (exp y)))) (/ 1 (exp y))) x) |
(/ (- (+ (* -1 (/ (+ (* -1/4 (/ (pow y 4) (exp y))) (+ (* 1/8 (/ (pow y 4) (exp y))) (* 1/3 (/ (pow y 3) (exp y))))) (pow x 2))) (/ 1 (exp y))) (* -1/2 (/ (pow y 2) (* x (exp y))))) x) |
(/ (- (+ (* -1 (/ (+ (* -1/4 (/ (pow y 4) (exp y))) (+ (* -1/6 (/ (pow y 5) (exp y))) (+ (* -1/48 (/ (pow y 6) (exp y))) (+ (* 1/2 (* (pow y 2) (+ (* -1/4 (/ (pow y 4) (exp y))) (+ (* 1/8 (/ (pow y 4) (exp y))) (* 1/3 (/ (pow y 3) (exp y))))))) (* 1/2 (/ (* (pow y 2) (+ (* 1/8 (pow y 4)) (* 1/3 (pow y 3)))) (exp y))))))) (pow x 3))) (/ 1 (exp y))) (+ (* -1/2 (/ (pow y 2) (* x (exp y)))) (+ (* -1/4 (/ (pow y 4) (* (pow x 2) (exp y)))) (+ (* 1/8 (/ (pow y 4) (* (pow x 2) (exp y)))) (* 1/3 (/ (pow y 3) (* (pow x 2) (exp y)))))))) x) |
(* -1 (* x (exp y))) |
(* x (+ (* -1 (exp y)) (* 1/2 (/ (* (pow y 2) (exp y)) x)))) |
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(* x (+ (* -1 (exp y)) (+ (* -1 (/ (* (exp y) (+ (* -1/4 (pow y 4)) (+ (* -1/6 (pow y 5)) (* -1/48 (pow y 6))))) (pow x 3))) (+ (* -1 (/ (* (exp y) (+ (* 1/8 (pow y 4)) (* 1/3 (pow y 3)))) (pow x 2))) (* 1/2 (/ (* (pow y 2) (exp y)) x)))))) |
(+ 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)))))) |
(* x (- (* 1/2 y) 1)) |
(* x (- (+ (* 1/2 y) (* 1/2 (/ y x))) 1)) |
(* (pow x 2) (- (* y (+ 1/2 (* -1/6 y))) 1)) |
(* (pow x 2) (- (+ (* y (+ 1/2 (* -1/6 y))) (/ (* y (+ 1/2 (* -1/2 y))) x)) 1)) |
(* (pow x 2) (- (+ (* -1/3 (/ (pow y 2) (pow x 2))) (+ (* y (+ 1/2 (* -1/6 y))) (/ (* y (+ 1/2 (* -1/2 y))) x))) 1)) |
(* -1/6 (* (pow x 2) y)) |
(* (pow x 2) (+ (* -1/2 (/ y x)) (* -1/6 y))) |
(* (pow x 2) (+ (* -1/2 (/ y x)) (+ (* -1/3 (/ y (pow x 2))) (* -1/6 y)))) |
(+ 1/2 (* 1/6 y)) |
(- (+ 1/2 (+ (* -1/2 (/ y x)) (* 1/6 y))) (* 1/2 (/ 1 x))) |
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(+ (* -1 (/ x (* y (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))))) (/ 1 (* x (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))))) |
(+ (* -1 (/ (- (+ (* -1 (/ (pow x 3) (* y (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))))) (+ (* -1/2 (/ (pow x 2) (* y (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))))) (* 1/2 (/ (pow x 3) (* y (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))))))) (* -1 (/ x (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))))) y)) (/ 1 (* x (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))))) |
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/3 (/ (pow x 3) (* y (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))))) (+ (* -1/6 (/ (pow x 5) (* y (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))))) (+ (* 1/2 (/ (pow x 4) (* y (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))))) (+ (/ (* x (+ (* -1/2 (pow x 3)) (* 1/2 (pow x 4)))) (* y (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y)))))))) (/ (* (pow x 2) (+ (* -1 (/ (pow x 3) (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y)))))))) (+ (* -1/2 (/ (pow x 2) (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y)))))))) (* 1/2 (/ (pow x 3) (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))))))) y))))) (+ (* -1 (/ (pow x 3) (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y)))))))) (+ (* -1/2 (/ (pow x 2) (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y)))))))) (* 1/2 (/ (pow x 3) (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))))))) y)) (* -1 (/ x (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))))) y)) (/ 1 (* x (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))))) |
(* -1 (* x (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y)))))))) |
(+ (* -1 (* x (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y)))))))) (* -1 (/ (* (pow x 3) (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))) y))) |
(+ (* -1 (* x (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y)))))))) (* -1 (/ (+ (* (pow x 3) (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))) (/ (* x (* (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y)))))) (+ (* -1/2 (pow x 3)) (* 1/2 (pow x 4))))) y)) y))) |
(+ (* -1 (* x (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y)))))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* x (* (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y)))))) (+ (* -1/2 (pow x 3)) (* 1/2 (pow x 4)))))) (/ (* x (* (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y)))))) (+ (* -1/3 (pow x 4)) (+ (* -1/6 (pow x 6)) (* 1/2 (pow x 5)))))) y)) y)) (* (pow x 3) (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y)))))))) y))) |
(* -1 (* y (- 1/6 (* 1/2 (/ 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 (* y (- (* -1/2 x) 1/2))) |
(* -1 (* y (- (+ (* -1/2 x) (/ x y)) 1/2))) |
(* -1 (/ (* y (- (* -1/2 x) 1/2)) x)) |
(* -1 (* y (- (+ -1/2 (/ 1 y)) (* 1/2 (/ 1 x))))) |
(* (pow y 2) (- (+ (* -1 (/ (* x (- (* -1/2 x) 1/2)) y)) (* x (- (* -1/6 x) 1/2))) 1/3)) |
(* (pow y 2) (- (+ (* -1 (/ (+ (* x (- (* -1/2 x) 1/2)) (/ (pow x 2) y)) y)) (* x (- (* -1/6 x) 1/2))) 1/3)) |
(* (pow y 2) (- (+ (* -1 (/ (- (/ 1 y) (+ 1/2 (* 1/2 (/ 1 x)))) y)) (/ (- (* -1/6 x) 1/2) x)) (* 1/3 (/ 1 (pow x 2))))) |
(* -1 (* y (+ (* -1 (- (+ 1/6 (* 1/3 (/ 1 (pow x 2)))) (* 1/2 (/ 1 x)))) (* -1 (/ (- 1/2 (* 1/2 (/ 1 x))) 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)) |
(* -1/3 (/ (pow y 3) (pow x 2))) |
(*.f64 (/.f64 #s(literal -1/3 binary64) x) (/.f64 (pow.f64 y #s(literal 3 binary64)) x)) |
(/ (+ (* -1/3 (pow y 3)) (* x (* (pow y 2) (+ 1/2 (* -1/2 y))))) (pow x 2)) |
(/.f64 (fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/3 binary64))) (*.f64 x x)) |
(/ (+ (* -1/3 (pow y 3)) (* x (+ (* x (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1)))) (* (pow y 2) (+ 1/2 (* -1/2 y)))))) (pow x 2)) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (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 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) (*.f64 y y))) x (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/3 binary64))) (*.f64 x x)) |
(* -1/3 (/ (pow y 2) (pow x 2))) |
(*.f64 (/.f64 #s(literal -1/3 binary64) x) (/.f64 (*.f64 y y) x)) |
(/ (+ (* -1/3 (pow y 2)) (* x (* y (+ 1/2 (* -1/2 y))))) (pow x 2)) |
(/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x (*.f64 (*.f64 y y) #s(literal -1/3 binary64))) (*.f64 x x)) |
(/ (+ (* -1/3 (pow y 2)) (* x (+ (* x (- (* y (+ 1/2 (* -1/6 y))) 1)) (* y (+ 1/2 (* -1/2 y)))))) (pow x 2)) |
(/.f64 (fma.f64 (fma.f64 (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 (/ 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) |
(* -1/3 (/ (pow y 2) x)) |
(*.f64 (/.f64 (*.f64 y y) x) #s(literal -1/3 binary64)) |
(/ (+ (* -1 (* x (* y (- (* -1/2 y) 1/2)))) (* -1/3 (pow y 2))) x) |
(/.f64 (fma.f64 (*.f64 (neg.f64 y) x) (fma.f64 #s(literal -1/2 binary64) y #s(literal -1/2 binary64)) (*.f64 (*.f64 y y) #s(literal -1/3 binary64))) x) |
(/ (+ (* -1/3 (pow y 2)) (* x (+ (* -1 (* y (- (* -1/2 y) 1/2))) (* x (- (* -1 (* y (+ 1/2 (* 1/6 y)))) 1))))) x) |
(/.f64 (fma.f64 (fma.f64 (neg.f64 y) (fma.f64 #s(literal -1/2 binary64) y #s(literal -1/2 binary64)) (*.f64 (fma.f64 (neg.f64 y) (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) #s(literal -1 binary64)) x)) x (*.f64 (*.f64 y y) #s(literal -1/3 binary64))) x) |
(* -1/3 (/ y x)) |
(*.f64 (/.f64 y x) #s(literal -1/3 binary64)) |
(/ (+ (* -1 (* x (- (* -1/2 y) 1/2))) (* -1/3 y)) x) |
(/.f64 (fma.f64 (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) y #s(literal -1/2 binary64)) (*.f64 #s(literal -1/3 binary64) y)) x) |
(/ (+ (* -1/3 y) (* x (+ (* -1 (* x (+ 1/2 (* 1/6 y)))) (* -1 (- (* -1/2 y) 1/2))))) x) |
(/.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal -1/2 binary64)))) x (*.f64 #s(literal -1/3 binary64) y)) x) |
(/ (+ 1 (* -1 (* x (+ (log y) (* -1 (log x)))))) x) |
(/.f64 (fma.f64 (neg.f64 x) (-.f64 (log.f64 y) (log.f64 x)) #s(literal 1 binary64)) x) |
(/ (+ 1 (* x (- (* -1 (* x (+ (* -1 (pow (+ (log y) (* -1 (log x))) 2)) (+ (* 1/2 (pow (+ (log y) (* -1 (log x))) 2)) (/ 1 y))))) (+ (log y) (* -1 (log x)))))) x) |
(/.f64 (fma.f64 (neg.f64 (fma.f64 (-.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 y) (log.f64 x)) #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (pow.f64 (-.f64 (log.f64 y) (log.f64 x)) #s(literal 2 binary64))) x (-.f64 (log.f64 y) (log.f64 x)))) x #s(literal 1 binary64)) x) |
(/ (+ 1 (* x (- (* x (- (* x (- (* 1/2 (/ 1 (pow y 2))) (+ (* -1 (* (+ (log y) (* -1 (log x))) (+ (* -1 (pow (+ (log y) (* -1 (log x))) 2)) (+ (* 1/2 (pow (+ (log y) (* -1 (log x))) 2)) (/ 1 y))))) (+ (* -1 (* (+ (log y) (* -1 (log x))) (+ (* 1/2 (pow (+ (log y) (* -1 (log x))) 2)) (/ 1 y)))) (+ (* -1 (/ (log x) y)) (+ (* 1/6 (pow (+ (log y) (* -1 (log x))) 3)) (/ (log y) y))))))) (+ (* -1 (pow (+ (log y) (* -1 (log x))) 2)) (+ (* 1/2 (pow (+ (log y) (* -1 (log x))) 2)) (/ 1 y))))) (+ (log y) (* -1 (log x)))))) x) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (*.f64 (-.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 y) (log.f64 x)) #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (pow.f64 (-.f64 (log.f64 y) (log.f64 x)) #s(literal 2 binary64))) (-.f64 (log.f64 y) (log.f64 x)))) (-.f64 (-.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 y) (log.f64 x)) #s(literal 3 binary64)) #s(literal 1/6 binary64) (/.f64 (log.f64 y) y)) (/.f64 (log.f64 x) y)) (*.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 y) (log.f64 x)) #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (-.f64 (log.f64 y) (log.f64 x))))) x (neg.f64 (-.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 y) (log.f64 x)) #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (pow.f64 (-.f64 (log.f64 y) (log.f64 x)) #s(literal 2 binary64))))) x (neg.f64 (-.f64 (log.f64 y) (log.f64 x)))) x #s(literal 1 binary64)) x) |
(* -1 x) |
(neg.f64 x) |
(* x (- (* -1 (* x (+ (log y) (* -1 (log x))))) 1)) |
(*.f64 (fma.f64 (neg.f64 x) (-.f64 (log.f64 y) (log.f64 x)) #s(literal -1 binary64)) x) |
(* x (- (* x (+ (* -1 (* x (+ (* 1/2 (pow (+ (log y) (* -1 (log x))) 2)) (/ 1 y)))) (* -1 (+ (log y) (* -1 (log x)))))) 1)) |
(*.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 y) (log.f64 x)) #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) x (-.f64 (log.f64 y) (log.f64 x)))) x #s(literal -1 binary64)) x) |
(* x (- (* x (+ (* -1 (+ (log y) (* -1 (log x)))) (* x (+ (* -1 (* x (- (+ (* -1 (/ (log x) y)) (+ (* 1/6 (pow (+ (log y) (* -1 (log x))) 3)) (/ (log y) y))) (* 1/2 (/ 1 (pow y 2)))))) (* -1 (+ (* 1/2 (pow (+ (log y) (* -1 (log x))) 2)) (/ 1 y))))))) 1)) |
(*.f64 (fma.f64 (fma.f64 (neg.f64 (fma.f64 (-.f64 (-.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 y) (log.f64 x)) #s(literal 3 binary64)) #s(literal 1/6 binary64) (/.f64 (log.f64 y) y)) (/.f64 (log.f64 x) y)) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) x (fma.f64 (pow.f64 (-.f64 (log.f64 y) (log.f64 x)) #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))) x (neg.f64 (-.f64 (log.f64 y) (log.f64 x)))) x #s(literal -1 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)) |
(* 1/2 y) |
(*.f64 #s(literal 1/2 binary64) y) |
(+ (* 1/2 y) (* x (- (* 1/2 y) 1))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x (*.f64 #s(literal 1/2 binary64) y)) |
(* -1/3 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal -1/3 binary64)) |
(+ (* -1/3 (pow y 2)) (* x (* y (+ 1/2 (* -1/2 y))))) |
(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))) |
(+ (* -1/3 (pow y 2)) (* x (+ (* x (- (* y (+ 1/2 (* -1/6 y))) 1)) (* y (+ 1/2 (* -1/2 y)))))) |
(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))) |
(* -1/3 y) |
(*.f64 #s(literal -1/3 binary64) y) |
(+ (* -1/2 (* x y)) (* -1/3 y)) |
(fma.f64 (*.f64 y x) #s(literal -1/2 binary64) (*.f64 #s(literal -1/3 binary64) y)) |
(+ (* -1/3 y) (* x (+ (* -1/2 y) (* -1/6 (* x y))))) |
(fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) y)) x (*.f64 #s(literal -1/3 binary64) y)) |
(* 1/3 (/ y (pow x 2))) |
(*.f64 (/.f64 y (*.f64 x x)) #s(literal 1/3 binary64)) |
(/ (+ (* 1/3 y) (* x (- (* -1/2 y) 1/2))) (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 y) (* x (+ 1/2 (* 1/6 y)))) 1/2))) (pow x 2)) |
(/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) x #s(literal -1/2 binary64))) x (*.f64 #s(literal 1/3 binary64) y)) (*.f64 x x)) |
(/ 1/3 (pow x 2)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 x x)) |
(/ (exp (* -1 y)) x) |
(/.f64 (exp.f64 (neg.f64 y)) x) |
(/ (+ (exp (* -1 y)) (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) x) |
(/.f64 (fma.f64 (*.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) |
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(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (exp.f64 x) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (/.f64 #s(literal -1 binary64) y))))) (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) (pow.f64 (exp.f64 x) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (/.f64 #s(literal -1 binary64) y))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (-.f64 (fma.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 (exp.f64 x) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (/.f64 #s(literal -1 binary64) y))))) (/.f64 (pow.f64 x #s(literal 5 binary64)) y) (fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (exp.f64 x) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (/.f64 #s(literal -1 binary64) y))))) (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (fma.f64 (*.f64 x x) (/.f64 (-.f64 (fma.f64 (/.f64 (*.f64 x x) (pow.f64 (exp.f64 x) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (/.f64 #s(literal -1 binary64) y))))) #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)) (pow.f64 (exp.f64 x) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (/.f64 #s(literal -1 binary64) y)))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (exp.f64 x) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (/.f64 #s(literal -1 binary64) y)))))) y) (/.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/2 binary64))) x) y) (pow.f64 (exp.f64 x) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (/.f64 #s(literal -1 binary64) y)))))))) (-.f64 (fma.f64 (/.f64 (*.f64 x x) (pow.f64 (exp.f64 x) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (/.f64 #s(literal -1 binary64) y))))) #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)) (pow.f64 (exp.f64 x) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (/.f64 #s(literal -1 binary64) y)))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (exp.f64 x) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (/.f64 #s(literal -1 binary64) y)))))))) y) #s(literal -1 binary64) (/.f64 x (pow.f64 (exp.f64 x) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (/.f64 #s(literal -1 binary64) y)))))) y)) |
(* -1 (* x (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y)))))))) |
(*.f64 (pow.f64 (exp.f64 x) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (/.f64 #s(literal -1 binary64) y)))) (neg.f64 x)) |
(+ (* -1 (* x (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y)))))))) (* -1 (/ (* (pow x 3) (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))) y))) |
(neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (pow.f64 (exp.f64 x) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (/.f64 #s(literal -1 binary64) y)))) y) (*.f64 (pow.f64 (exp.f64 x) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (/.f64 #s(literal -1 binary64) y)))) x))) |
(+ (* -1 (* x (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y)))))))) (* -1 (/ (+ (* (pow x 3) (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))) (/ (* x (* (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y)))))) (+ (* -1/2 (pow x 3)) (* 1/2 (pow x 4))))) y)) y))) |
(neg.f64 (fma.f64 (pow.f64 (exp.f64 x) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (/.f64 #s(literal -1 binary64) y)))) x (/.f64 (fma.f64 x (/.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (/.f64 #s(literal -1 binary64) y)))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/2 binary64)))) y) (*.f64 (pow.f64 (exp.f64 x) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (/.f64 #s(literal -1 binary64) y)))) (pow.f64 x #s(literal 3 binary64)))) y))) |
(+ (* -1 (* x (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y)))))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* x (* (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y)))))) (+ (* -1/2 (pow x 3)) (* 1/2 (pow x 4)))))) (/ (* x (* (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y)))))) (+ (* -1/3 (pow x 4)) (+ (* -1/6 (pow x 6)) (* 1/2 (pow x 5)))))) y)) y)) (* (pow x 3) (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y)))))))) y))) |
(neg.f64 (fma.f64 (pow.f64 (exp.f64 x) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (/.f64 #s(literal -1 binary64) y)))) x (/.f64 (fma.f64 (pow.f64 (exp.f64 x) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (/.f64 #s(literal -1 binary64) y)))) (pow.f64 x #s(literal 3 binary64)) (/.f64 (fma.f64 (neg.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (/.f64 #s(literal -1 binary64) y)))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/2 binary64))))) x (*.f64 x (/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/3 binary64) (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/6 binary64)))) (pow.f64 (exp.f64 x) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (/.f64 #s(literal -1 binary64) y))))) y))) (neg.f64 y))) y))) |
(* -1 (* y (- 1/6 (* 1/2 (/ 1 y))))) |
(*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (neg.f64 y)) |
(* -1 (* y (+ 1/6 (+ (* -1 (/ (+ 1/2 (* 1/2 (/ 1 x))) y)) (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))) |
(*.f64 (+.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y)) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x))) (neg.f64 y)) |
(* -1 (* y (- (* -1/2 x) 1/2))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) (neg.f64 y)) |
(* -1 (* y (- (+ (* -1/2 x) (/ x y)) 1/2))) |
(*.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 x y)) #s(literal 1/2 binary64)) (neg.f64 y)) |
(* -1 (/ (* y (- (* -1/2 x) 1/2)) x)) |
(*.f64 (neg.f64 y) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) x)) |
(* -1 (* y (- (+ -1/2 (/ 1 y)) (* 1/2 (/ 1 x))))) |
(neg.f64 (fma.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal -1/2 binary64)) y #s(literal 1 binary64))) |
(* (pow y 2) (- (+ (* -1 (/ (* x (- (* -1/2 x) 1/2)) y)) (* x (- (* -1/6 x) 1/2))) 1/3)) |
(*.f64 (fma.f64 (neg.f64 x) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) y) (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/3 binary64))) (*.f64 y y)) |
(* (pow y 2) (- (+ (* -1 (/ (+ (* x (- (* -1/2 x) 1/2)) (/ (pow x 2) y)) y)) (* x (- (* -1/6 x) 1/2))) 1/3)) |
(*.f64 (fma.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) x (/.f64 (*.f64 x x) y)) y) #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/3 binary64))) (*.f64 y y)) |
(* (pow y 2) (- (+ (* -1 (/ (- (/ 1 y) (+ 1/2 (* 1/2 (/ 1 x)))) y)) (/ (- (* -1/6 x) 1/2) x)) (* 1/3 (/ 1 (pow x 2))))) |
(*.f64 (-.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal -1/2 binary64)) x) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) x)) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (*.f64 y y)) |
(* -1 (* y (+ (* -1 (- (+ 1/6 (* 1/3 (/ 1 (pow x 2)))) (* 1/2 (/ 1 x)))) (* -1 (/ (- 1/2 (* 1/2 (/ 1 x))) y))))) |
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) (neg.f64 y)) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x))) (neg.f64 y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 93 | 972 |
| 0 | 133 | 972 |
| 1 | 603 | 947 |
| 2 | 5146 | 947 |
| 0 | 8105 | 883 |
| 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 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) #s(approx (+ (* -1/6 y) 1/2) (*.f64 #s(literal -1/6 binary64) y))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) #s(approx (+ (* -1/6 y) 1/2) (*.f64 #s(literal -1/6 binary64) y))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) #s(approx (+ (* -1/6 y) 1/2) (*.f64 #s(literal -1/6 binary64) y))) y #s(literal -1 binary64)) y #s(literal 1 binary64)) |
(fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) #s(approx (+ (* -1/6 y) 1/2) (*.f64 #s(literal -1/6 binary64) y))) 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))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 x) 1/2) y) -1) (/.f64 #s(approx (+ (* (+ (* 1/2 y) -1) x) (* 1/2 y)) (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) x)) 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) (/.f64 #s(approx (+ (* (+ (* 1/2 y) -1) x) (* 1/2 y)) (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) x)) y #s(literal 1 binary64))) |
(fma.f64 #s(approx (+ (* (+ (/ 1/2 x) 1/2) y) -1) (/.f64 #s(approx (+ (* (+ (* 1/2 y) -1) x) (* 1/2 y)) (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) x)) y #s(literal 1 binary64)) |
#s(approx (+ (* (+ (/ 1/2 x) 1/2) y) -1) (/.f64 #s(approx (+ (* (+ (* 1/2 y) -1) x) (* 1/2 y)) (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) x)) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* -1/6 y) 1/2) y) -1) x) (* (+ (* -1/2 y) 1/2) y)) x) (* -1/3 (* y y))) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/3 binary64)) y) y)) (*.f64 x x))) y #s(literal 1 binary64))) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* -1/6 y) 1/2) y) -1) x) (* (+ (* -1/2 y) 1/2) y)) x) (* -1/3 (* y y))) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/3 binary64)) y) y)) (*.f64 x x))) y #s(literal 1 binary64))) |
(fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* -1/6 y) 1/2) y) -1) x) (* (+ (* -1/2 y) 1/2) y)) x) (* -1/3 (* y y))) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/3 binary64)) y) y)) (*.f64 x x))) y #s(literal 1 binary64)) |
#s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* -1/6 y) 1/2) y) -1) x) (* (+ (* -1/2 y) 1/2) y)) x) (* -1/3 (* y y))) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/3 binary64)) y) y)) (*.f64 x x))) |
(fma.f64 (*.f64 (neg.f64 x) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)) y (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))) y (neg.f64 x)) |
(*.f64 (neg.f64 x) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)) y (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))) |
(/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (fma.f64 (fma.f64 (*.f64 (neg.f64 x) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)) y (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))) y (neg.f64 x)) y (neg.f64 x)))) |
#s(approx (* (neg x) (pow (/ (+ y x) x) x)) (fma.f64 (fma.f64 (*.f64 (neg.f64 x) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)) y (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))) y (neg.f64 x)) y (neg.f64 x))) |
#s(approx (+ (* -1/6 y) 1/2) (*.f64 #s(literal -1/6 binary64) y)) |
#s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) #s(approx (+ (* -1/6 y) 1/2) (*.f64 #s(literal -1/6 binary64) y))) |
#s(approx (+ (* (+ (* 1/2 y) -1) x) (* 1/2 y)) (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) |
(/.f64 #s(approx (+ (* (+ (* 1/2 y) -1) x) (* 1/2 y)) (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) x) |
#s(approx (+ (* (+ (* (+ (* (+ (* -1/6 y) 1/2) y) -1) x) (* (+ (* -1/2 y) 1/2) y)) x) (* -1/3 (* y y))) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/3 binary64)) y) y)) |
(/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* -1/6 y) 1/2) y) -1) x) (* (+ (* -1/2 y) 1/2) y)) x) (* -1/3 (* y y))) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/3 binary64)) y) y)) (*.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)) y) |
(fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)) y (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))) |
(/.f64 #s(literal 1/3 binary64) (*.f64 x x)) |
| 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 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) #s(approx (+ (* -1/6 y) 1/2) (*.f64 #s(literal -1/6 binary64) y))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
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(*.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))) y) #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) (-.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))) y)) (pow.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))) y) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (-.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))) y) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))) (-.f64 (pow.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))) y) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) (-.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))) y)) (pow.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))) y) #s(literal 2 binary64))) (+.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))) y) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))) y #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))) (+.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))) y #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) x))) |
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (pow.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))) y) #s(literal 2 binary64))) (-.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))) y))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))) y #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))) y #s(literal 1/2 binary64)) #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64) (*.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))) y #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) x))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))) y) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))) y) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))) y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) (-.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))) y)) (pow.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))) y) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))) y) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) (-.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))) y) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))) |
(/.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))) y) #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))) y) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))) y) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))))) |
(/.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))) y) #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) (-.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))) y)) (pow.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))) y) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))) y) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))) (-.f64 (pow.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))) y) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) (-.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))) y)) (pow.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))) y) #s(literal 2 binary64))) (+.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))) y) #s(literal 3 binary64))))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal -1/4 binary64))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))) y)) |
(fma.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))) (fma.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/8 binary64) #s(literal 1/8 binary64))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) x))) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))) y)) |
(fma.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))) (pow.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))) y)) |
(fma.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64))) (pow.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))) y)) |
(fma.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))) y (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))) |
(fma.f64 y (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))) y) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))) y) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))) (/.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))) y) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))) |
(-.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))) y #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) x)) |
(-.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))) y))) |
(+.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))) y #s(literal 1/2 binary64)) (/.f64 #s(literal -1/2 binary64) x)) |
(+.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))) y) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))) |
(+.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))) y)) |
(+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal -1/2 binary64) x) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))) y))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) x) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64)) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) x)) |
(*.f64 #s(literal -1/3 binary64) (pow.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) |
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2 binary64))) |
(pow.f64 (/.f64 x (/.f64 #s(literal 1/3 binary64) x)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (/.f64 #s(literal 1/3 binary64) x)) (neg.f64 x)) |
(/.f64 (/.f64 #s(literal 1/3 binary64) x) x) |
(/.f64 #s(literal -1/3 binary64) (*.f64 (neg.f64 x) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1/3 binary64) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 3 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 x x) #s(literal 3 binary64)))) |
(/.f64 #s(literal 1/3 binary64) (*.f64 x x)) |
(neg.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x x) #s(literal 3 binary64))) #s(literal -1 binary64))) |
Compiled 36 914 to 3 316 computations (91% saved)
21 alts after pruning (14 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 564 | 7 | 571 |
| Fresh | 4 | 7 | 11 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 4 | 4 |
| Total | 570 | 21 | 591 |
| Status | Accuracy | Program |
|---|---|---|
| 41.1% | (/.f64 (pow.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) x) x) | |
| ✓ | 84.1% | (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) |
| ✓ | 68.0% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) |
| ✓ | 68.0% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) #s(approx (+ (* -1/6 y) 1/2) (*.f64 #s(literal -1/6 binary64) y))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) |
| 66.6% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) #s(approx (+ (* -1/6 y) 1/2) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) | |
| ✓ | 67.7% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 x) 1/2) y) -1) (/.f64 #s(approx (+ (* (+ (* 1/2 y) -1) x) (* 1/2 y)) (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) x)) y #s(literal 1 binary64))) x) |
| 48.6% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) (/.f64 (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* -1/6 y) 1/2) y) -1) x) (* (+ (* -1/2 y) 1/2) y)) x) (* -1/3 (* y y))) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/3 binary64)) y) y)) x) x)) y #s(literal 1 binary64))) x) | |
| 34.1% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* -1/6 y) 1/2) y) -1) x) (* (+ (* -1/2 y) 1/2) y)) x) (* -1/3 (* y y))) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal -1 binary64)) x) x)) (*.f64 x x))) y #s(literal 1 binary64))) x) | |
| 33.9% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* -1/6 y) 1/2) y) -1) x) (* (+ (* -1/2 y) 1/2) y)) x) (* -1/3 (* y y))) (*.f64 #s(approx (* (+ (* (+ (* -1/6 x) -1/2) x) -1/3) y) (*.f64 (*.f64 (*.f64 x x) y) #s(literal -1/6 binary64))) y)) (*.f64 x x))) y #s(literal 1 binary64))) x) | |
| ✓ | 60.9% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) x) |
| ✓ | 4.0% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (- 1 y) (neg.f64 y))) x) |
| 63.5% | (/.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) | |
| 4.9% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y) y))) x) | |
| ✓ | 76.5% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) |
| 68.0% | (/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) #s(approx (+ (* -1/6 y) 1/2) (*.f64 #s(literal -1/6 binary64) y))) y #s(literal -1 binary64)) y #s(literal 1 binary64))))) | |
| 40.4% | (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (pow.f64 #s(approx (/ (+ y x) x) (/.f64 y x)) x))) | |
| 48.7% | (/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (fma.f64 (fma.f64 #s(approx (* (neg x) (+ (* (- (+ (/ 1/3 (* x x)) 1/6) (/ 1/2 x)) y) (- 1/2 (/ 1/2 x)))) (/.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal -1/2 binary64)))) x (*.f64 #s(literal -1/3 binary64) y)) x)) y (neg.f64 x)) y (neg.f64 x)))) | |
| 49.8% | (/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (fma.f64 #s(approx (+ (* (* (neg x) (+ (* (- (+ (/ 1/3 (* x x)) 1/6) (/ 1/2 x)) y) (- 1/2 (/ 1/2 x)))) y) (neg x)) (/.f64 (fma.f64 (fma.f64 (neg.f64 y) (fma.f64 #s(literal -1/2 binary64) y #s(literal -1/2 binary64)) (*.f64 (fma.f64 (neg.f64 y) (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) #s(literal -1 binary64)) x)) x (*.f64 (*.f64 y y) #s(literal -1/3 binary64))) x)) y (neg.f64 x)))) | |
| 69.1% | (/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (fma.f64 #s(approx (+ (* (* (neg x) (+ (* (- (+ (/ 1/3 (* x x)) 1/6) (/ 1/2 x)) y) (- 1/2 (/ 1/2 x)))) y) (neg x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) (neg.f64 x))) y (neg.f64 x)))) | |
| 55.1% | (/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (fma.f64 #s(approx (+ (* (* (neg x) (+ (* (- (+ (/ 1/3 (* x x)) 1/6) (/ 1/2 x)) y) (- 1/2 (/ 1/2 x)))) y) (neg x)) (*.f64 (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 y y)) (neg.f64 x))) y (neg.f64 x)))) | |
| 66.6% | (/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (neg.f64 (fma.f64 y x x)))) |
Compiled 2 512 to 908 computations (63.9% 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 (* (neg x) (pow (/ (+ y x) x) x)) (neg.f64 (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 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) #s(approx (+ (* -1/6 y) 1/2) #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 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) #s(approx (+ (* -1/6 y) 1/2) (*.f64 #s(literal -1/6 binary64) y))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y) 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) |
(/.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(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (fma.f64 #s(approx (+ (* (* (neg x) (+ (* (- (+ (/ 1/3 (* x x)) 1/6) (/ 1/2 x)) y) (- 1/2 (/ 1/2 x)))) y) (neg x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) (neg.f64 x))) y (neg.f64 x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) #s(approx (+ (* -1/6 y) 1/2) (*.f64 #s(literal -1/6 binary64) y))) y #s(literal -1 binary64)) y #s(literal 1 binary64))))) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 x) 1/2) y) -1) (/.f64 #s(approx (+ (* (+ (* 1/2 y) -1) x) (* 1/2 y)) (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) x)) y #s(literal 1 binary64))) x) |
(/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))))) |
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) #s(approx (pow (/ (+ y x) x) x) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))) |
(/.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) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* -1/6 y) 1/2) y) -1) x) (* (+ (* -1/2 y) 1/2) y)) x) (* -1/3 (* y y))) (*.f64 #s(approx (* (+ (* (+ (* -1/6 x) -1/2) x) -1/3) y) (*.f64 (*.f64 (*.f64 x x) y) #s(literal -1/6 binary64))) 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 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* -1/6 y) 1/2) y) -1) x) (* (+ (* -1/2 y) 1/2) y)) x) (* -1/3 (* y y))) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/3 binary64)) 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 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* -1/6 y) 1/2) y) -1) x) (* (+ (* -1/2 y) 1/2) y)) x) (* -1/3 (* y y))) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal -1 binary64)) x) x)) (*.f64 x x))) y #s(literal 1 binary64))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) #s(approx (/ (+ (* (+ (* (+ (* (+ (* -1/6 y) 1/2) y) -1) x) (* (+ (* -1/2 y) 1/2) y)) x) (* -1/3 (* y y))) (* x x)) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/3 binary64)) x) (*.f64 y (/.f64 y x))))) y #s(literal 1 binary64))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) (/.f64 (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* -1/6 y) 1/2) y) -1) x) (* (+ (* -1/2 y) 1/2) y)) x) (* -1/3 (* y y))) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/3 binary64)) y) y)) x) x)) y #s(literal 1 binary64))) x) |
(/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (fma.f64 #s(approx (+ (* (* (neg x) (+ (* (- (+ (/ 1/3 (* x x)) 1/6) (/ 1/2 x)) y) (- 1/2 (/ 1/2 x)))) y) (neg x)) (*.f64 (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 y y)) (neg.f64 x))) y (neg.f64 x)))) |
(/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (fma.f64 (fma.f64 #s(approx (* (neg x) (+ (* (- (+ (/ 1/3 (* x x)) 1/6) (/ 1/2 x)) y) (- 1/2 (/ 1/2 x)))) (/.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal -1/2 binary64)))) x (*.f64 #s(literal -1/3 binary64) y)) x)) y (neg.f64 x)) y (neg.f64 x)))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) (/.f64 (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))) 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 (/ 1/2 x)) (/ 1/3 (* x 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 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) |
(/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (fma.f64 #s(approx (+ (* (* (neg x) (+ (* (- (+ (/ 1/3 (* x x)) 1/6) (/ 1/2 x)) y) (- 1/2 (/ 1/2 x)))) y) (neg x)) (/.f64 (fma.f64 (fma.f64 (neg.f64 y) (fma.f64 #s(literal -1/2 binary64) y #s(literal -1/2 binary64)) (*.f64 (fma.f64 (neg.f64 y) (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) #s(literal -1 binary64)) x)) x (*.f64 (*.f64 y y) #s(literal -1/3 binary64))) x)) y (neg.f64 x)))) |
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) #s(approx (pow (/ (+ y x) x) x) (fma.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1/2 binary64) x))) y #s(literal 1 binary64)) y #s(literal 1 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (fma.f64 (fma.f64 (*.f64 (neg.f64 x) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)) y (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))) y (neg.f64 x)) y (neg.f64 x)))) |
(/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) |
(/.f64 (pow.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) x) x) |
(/.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) x) |
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (pow.f64 #s(approx (/ (+ y x) x) (/.f64 y x)) x))) |
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (pow.f64 (/.f64 (+.f64 y x) x) x))) |
(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) |
| Outputs |
|---|
(/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) |
(/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) |
3 calls:
| 12.0ms | x |
| 10.0ms | y |
| 10.0ms | (/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 3 | x |
| 87.1% | 2 | 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 (* (neg x) (pow (/ (+ y x) x) x)) (neg.f64 (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 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) #s(approx (+ (* -1/6 y) 1/2) #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 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) #s(approx (+ (* -1/6 y) 1/2) (*.f64 #s(literal -1/6 binary64) y))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y) 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) |
(/.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(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (fma.f64 #s(approx (+ (* (* (neg x) (+ (* (- (+ (/ 1/3 (* x x)) 1/6) (/ 1/2 x)) y) (- 1/2 (/ 1/2 x)))) y) (neg x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) (neg.f64 x))) y (neg.f64 x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) #s(approx (+ (* -1/6 y) 1/2) (*.f64 #s(literal -1/6 binary64) y))) y #s(literal -1 binary64)) y #s(literal 1 binary64))))) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 x) 1/2) y) -1) (/.f64 #s(approx (+ (* (+ (* 1/2 y) -1) x) (* 1/2 y)) (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) x)) y #s(literal 1 binary64))) x) |
(/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))))) |
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) #s(approx (pow (/ (+ y x) x) x) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))) |
(/.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) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* -1/6 y) 1/2) y) -1) x) (* (+ (* -1/2 y) 1/2) y)) x) (* -1/3 (* y y))) (*.f64 #s(approx (* (+ (* (+ (* -1/6 x) -1/2) x) -1/3) y) (*.f64 (*.f64 (*.f64 x x) y) #s(literal -1/6 binary64))) 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 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* -1/6 y) 1/2) y) -1) x) (* (+ (* -1/2 y) 1/2) y)) x) (* -1/3 (* y y))) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/3 binary64)) 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 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* -1/6 y) 1/2) y) -1) x) (* (+ (* -1/2 y) 1/2) y)) x) (* -1/3 (* y y))) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal -1 binary64)) x) x)) (*.f64 x x))) y #s(literal 1 binary64))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) #s(approx (/ (+ (* (+ (* (+ (* (+ (* -1/6 y) 1/2) y) -1) x) (* (+ (* -1/2 y) 1/2) y)) x) (* -1/3 (* y y))) (* x x)) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/3 binary64)) x) (*.f64 y (/.f64 y x))))) y #s(literal 1 binary64))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) (/.f64 (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* -1/6 y) 1/2) y) -1) x) (* (+ (* -1/2 y) 1/2) y)) x) (* -1/3 (* y y))) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/3 binary64)) y) y)) x) x)) y #s(literal 1 binary64))) x) |
(/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (fma.f64 #s(approx (+ (* (* (neg x) (+ (* (- (+ (/ 1/3 (* x x)) 1/6) (/ 1/2 x)) y) (- 1/2 (/ 1/2 x)))) y) (neg x)) (*.f64 (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 y y)) (neg.f64 x))) y (neg.f64 x)))) |
(/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (fma.f64 (fma.f64 #s(approx (* (neg x) (+ (* (- (+ (/ 1/3 (* x x)) 1/6) (/ 1/2 x)) y) (- 1/2 (/ 1/2 x)))) (/.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal -1/2 binary64)))) x (*.f64 #s(literal -1/3 binary64) y)) x)) y (neg.f64 x)) y (neg.f64 x)))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) (/.f64 (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))) 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 (/ 1/2 x)) (/ 1/3 (* x 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 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) |
(/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (fma.f64 #s(approx (+ (* (* (neg x) (+ (* (- (+ (/ 1/3 (* x x)) 1/6) (/ 1/2 x)) y) (- 1/2 (/ 1/2 x)))) y) (neg x)) (/.f64 (fma.f64 (fma.f64 (neg.f64 y) (fma.f64 #s(literal -1/2 binary64) y #s(literal -1/2 binary64)) (*.f64 (fma.f64 (neg.f64 y) (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) #s(literal -1 binary64)) x)) x (*.f64 (*.f64 y y) #s(literal -1/3 binary64))) x)) y (neg.f64 x)))) |
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) #s(approx (pow (/ (+ y x) x) x) (fma.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1/2 binary64) x))) y #s(literal 1 binary64)) y #s(literal 1 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (fma.f64 (fma.f64 (*.f64 (neg.f64 x) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)) y (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))) y (neg.f64 x)) y (neg.f64 x)))) |
| Outputs |
|---|
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 x) 1/2) y) -1) (/.f64 #s(approx (+ (* (+ (* 1/2 y) -1) x) (* 1/2 y)) (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) x)) y #s(literal 1 binary64))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) |
(/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (fma.f64 #s(approx (+ (* (* (neg x) (+ (* (- (+ (/ 1/3 (* x x)) 1/6) (/ 1/2 x)) y) (- 1/2 (/ 1/2 x)))) y) (neg x)) (/.f64 (fma.f64 (fma.f64 (neg.f64 y) (fma.f64 #s(literal -1/2 binary64) y #s(literal -1/2 binary64)) (*.f64 (fma.f64 (neg.f64 y) (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) #s(literal -1 binary64)) x)) x (*.f64 (*.f64 y y) #s(literal -1/3 binary64))) x)) y (neg.f64 x)))) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (/.f64 (fma.f64 (fma.f64 (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) |
3 calls:
| 10.0ms | y |
| 9.0ms | x |
| 8.0ms | (/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.1% | 3 | y |
| 83.3% | 4 | (/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) |
| 89.8% | 4 | x |
Compiled 13 to 12 computations (7.7% saved)
| Inputs |
|---|
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) |
(/.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 (* (neg x) (pow (/ (+ y x) x) x)) (neg.f64 (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 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) #s(approx (+ (* -1/6 y) 1/2) #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 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) #s(approx (+ (* -1/6 y) 1/2) (*.f64 #s(literal -1/6 binary64) y))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y) 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) |
(/.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(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (fma.f64 #s(approx (+ (* (* (neg x) (+ (* (- (+ (/ 1/3 (* x x)) 1/6) (/ 1/2 x)) y) (- 1/2 (/ 1/2 x)))) y) (neg x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) (neg.f64 x))) y (neg.f64 x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) #s(approx (+ (* -1/6 y) 1/2) (*.f64 #s(literal -1/6 binary64) y))) y #s(literal -1 binary64)) y #s(literal 1 binary64))))) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 x) 1/2) y) -1) (/.f64 #s(approx (+ (* (+ (* 1/2 y) -1) x) (* 1/2 y)) (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) x)) y #s(literal 1 binary64))) x) |
(/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))))) |
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) #s(approx (pow (/ (+ y x) x) x) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))) |
(/.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) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* -1/6 y) 1/2) y) -1) x) (* (+ (* -1/2 y) 1/2) y)) x) (* -1/3 (* y y))) (*.f64 #s(approx (* (+ (* (+ (* -1/6 x) -1/2) x) -1/3) y) (*.f64 (*.f64 (*.f64 x x) y) #s(literal -1/6 binary64))) 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 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* -1/6 y) 1/2) y) -1) x) (* (+ (* -1/2 y) 1/2) y)) x) (* -1/3 (* y y))) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/3 binary64)) 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 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* -1/6 y) 1/2) y) -1) x) (* (+ (* -1/2 y) 1/2) y)) x) (* -1/3 (* y y))) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal -1 binary64)) x) x)) (*.f64 x x))) y #s(literal 1 binary64))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) #s(approx (/ (+ (* (+ (* (+ (* (+ (* -1/6 y) 1/2) y) -1) x) (* (+ (* -1/2 y) 1/2) y)) x) (* -1/3 (* y y))) (* x x)) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/3 binary64)) x) (*.f64 y (/.f64 y x))))) y #s(literal 1 binary64))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) y) -1) (/.f64 (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* -1/6 y) 1/2) y) -1) x) (* (+ (* -1/2 y) 1/2) y)) x) (* -1/3 (* y y))) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/3 binary64)) y) y)) x) x)) y #s(literal 1 binary64))) x) |
(/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (fma.f64 #s(approx (+ (* (* (neg x) (+ (* (- (+ (/ 1/3 (* x x)) 1/6) (/ 1/2 x)) y) (- 1/2 (/ 1/2 x)))) y) (neg x)) (*.f64 (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 y y)) (neg.f64 x))) y (neg.f64 x)))) |
(/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (fma.f64 (fma.f64 #s(approx (* (neg x) (+ (* (- (+ (/ 1/3 (* x x)) 1/6) (/ 1/2 x)) y) (- 1/2 (/ 1/2 x)))) (/.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal -1/2 binary64)))) x (*.f64 #s(literal -1/3 binary64) y)) x)) y (neg.f64 x)) y (neg.f64 x)))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) (/.f64 (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))) 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 (/ 1/2 x)) (/ 1/3 (* x 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 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) |
| Outputs |
|---|
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 x) 1/2) y) -1) (/.f64 #s(approx (+ (* (+ (* 1/2 y) -1) x) (* 1/2 y)) (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) x)) y #s(literal 1 binary64))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) |
(/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (fma.f64 #s(approx (+ (* (* (neg x) (+ (* (- (+ (/ 1/3 (* x x)) 1/6) (/ 1/2 x)) y) (- 1/2 (/ 1/2 x)))) y) (neg x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) (neg.f64 x))) y (neg.f64 x)))) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (/.f64 (fma.f64 (fma.f64 (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) |
1 calls:
| 8.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.1% | 4 | 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 (* (neg x) (pow (/ (+ y x) x) x)) (neg.f64 (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 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) #s(approx (+ (* -1/6 y) 1/2) #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 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) #s(approx (+ (* -1/6 y) 1/2) (*.f64 #s(literal -1/6 binary64) y))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y) 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) |
(/.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(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (fma.f64 #s(approx (+ (* (* (neg x) (+ (* (- (+ (/ 1/3 (* x x)) 1/6) (/ 1/2 x)) y) (- 1/2 (/ 1/2 x)))) y) (neg x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) (neg.f64 x))) y (neg.f64 x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) #s(approx (+ (* -1/6 y) 1/2) (*.f64 #s(literal -1/6 binary64) y))) y #s(literal -1 binary64)) y #s(literal 1 binary64))))) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 x) 1/2) y) -1) (/.f64 #s(approx (+ (* (+ (* 1/2 y) -1) x) (* 1/2 y)) (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) x)) y #s(literal 1 binary64))) x) |
(/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))))) |
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) #s(approx (pow (/ (+ y x) x) x) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))) |
(/.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) |
| Outputs |
|---|
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 x) 1/2) y) -1) (/.f64 #s(approx (+ (* (+ (* 1/2 y) -1) x) (* 1/2 y)) (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) x)) y #s(literal 1 binary64))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) |
(/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (fma.f64 #s(approx (+ (* (* (neg x) (+ (* (- (+ (/ 1/3 (* x x)) 1/6) (/ 1/2 x)) y) (- 1/2 (/ 1/2 x)))) y) (neg x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) (neg.f64 x))) y (neg.f64 x)))) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) |
1 calls:
| 5.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.4% | 4 | 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 (* (neg x) (pow (/ (+ y x) x) x)) (neg.f64 (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 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) #s(approx (+ (* -1/6 y) 1/2) #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 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) #s(approx (+ (* -1/6 y) 1/2) (*.f64 #s(literal -1/6 binary64) y))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y) 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) |
(/.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(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (fma.f64 #s(approx (+ (* (* (neg x) (+ (* (- (+ (/ 1/3 (* x x)) 1/6) (/ 1/2 x)) y) (- 1/2 (/ 1/2 x)))) y) (neg x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) (neg.f64 x))) y (neg.f64 x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) #s(approx (+ (* -1/6 y) 1/2) (*.f64 #s(literal -1/6 binary64) y))) y #s(literal -1 binary64)) y #s(literal 1 binary64))))) |
| Outputs |
|---|
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) |
(/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (fma.f64 #s(approx (+ (* (* (neg x) (+ (* (- (+ (/ 1/3 (* x x)) 1/6) (/ 1/2 x)) y) (- 1/2 (/ 1/2 x)))) y) (neg x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) (neg.f64 x))) y (neg.f64 x)))) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) |
1 calls:
| 4.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.0% | 4 | 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 (* (neg x) (pow (/ (+ y x) x) x)) (neg.f64 (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 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) #s(approx (+ (* -1/6 y) 1/2) #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 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) #s(approx (+ (* -1/6 y) 1/2) (*.f64 #s(literal -1/6 binary64) y))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y) 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) |
(/.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) |
| Outputs |
|---|
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) |
(/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (neg.f64 (fma.f64 y x x)))) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) |
1 calls:
| 7.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.1% | 4 | 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 (* (neg x) (pow (/ (+ y x) x) x)) (neg.f64 (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 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) #s(approx (+ (* -1/6 y) 1/2) #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 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) #s(approx (+ (* -1/6 y) 1/2) (*.f64 #s(literal -1/6 binary64) y))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) |
| Outputs |
|---|
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) #s(approx (+ (* -1/6 y) 1/2) (*.f64 #s(literal -1/6 binary64) y))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) |
(/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (neg.f64 (fma.f64 y x x)))) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) #s(approx (+ (* -1/6 y) 1/2) (*.f64 #s(literal -1/6 binary64) y))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) |
1 calls:
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.1% | 4 | 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 (* (neg x) (pow (/ (+ y x) x) x)) (neg.f64 (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 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) #s(approx (+ (* -1/6 y) 1/2) #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 (* (neg x) (pow (/ (+ y x) x) x)) (neg.f64 (fma.f64 y x x)))) |
1 calls:
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.2% | 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 (* (neg x) (pow (/ (+ y x) x) x)) (neg.f64 (fma.f64 y x x)))) |
| Outputs |
|---|
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) |
(/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (neg.f64 (fma.f64 y x x)))) |
1 calls:
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.7% | 2 | x |
Compiled 1 to 2 computations (-100% saved)
Total -46.5b remaining (-309.8%)
Threshold costs -46.5b (-309.8%)
| 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 |
|---|---|---|
| 76.5% | 1 | (/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) |
| 76.5% | 1 | y |
| 76.5% | 1 | x |
Compiled 13 to 12 computations (7.7% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 23.0ms | 0.0019408871564340754 | 43039205.899093024 |
| 37.0ms | -1.4695818202037964e+38 | -1.0897536308285258e+28 |
| 24.0ms | 115× | 1 | valid |
| 17.0ms | 205× | 0 | valid |
| 5.0ms | 77× | 0 | invalid |
Compiled 554 to 453 computations (18.2% saved)
ival-log: 13.0ms (36.5% of total)ival-div: 7.0ms (19.6% of total)ival-add: 6.0ms (16.8% of total)ival-exp: 4.0ms (11.2% of total)ival-mult: 3.0ms (8.4% of total)adjust: 2.0ms (5.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 34.0ms | 7.314920597057658e+156 | 4.499849760327592e+158 |
| 2.0ms | 0.0019408871564340754 | 43039205.899093024 |
| 2.0ms | -1.4695818202037964e+38 | -1.0897536308285258e+28 |
| 20.0ms | 94× | 1 | valid |
| 7.0ms | 13× | 0 | invalid |
| 1.0ms | 18× | 0 | valid |
Compiled 2 225 to 1 440 computations (35.3% saved)
ival-log: 9.0ms (50.2% of total)ival-div: 3.0ms (16.7% of total)ival-exp: 2.0ms (11.1% of total)adjust: 1.0ms (5.6% of total)ival-add: 1.0ms (5.6% of total)ival-mult: 1.0ms (5.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 40.0ms | 6.800764847474649e+174 | 2.4306489579317468e+179 |
| 1.0ms | 0.0019408871564340754 | 43039205.899093024 |
| 1.0ms | -1.4695818202037964e+38 | -1.0897536308285258e+28 |
| 31.0ms | 105× | 1 | valid |
| 2.0ms | 23× | 0 | valid |
| 1.0ms | 10× | 0 | invalid |
Compiled 2 050 to 1 367 computations (33.3% saved)
ival-log: 19.0ms (65.3% of total)ival-div: 3.0ms (10.3% of total)ival-exp: 2.0ms (6.9% of total)ival-add: 1.0ms (3.4% of total)adjust: 1.0ms (3.4% of total)ival-mult: 1.0ms (3.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 2.0ms | 6.800764847474649e+174 | 2.4306489579317468e+179 |
| 2.0ms | 0.0019408871564340754 | 43039205.899093024 |
| 4.0ms | -1.4695818202037964e+38 | -1.0897536308285258e+28 |
Compiled 2 058 to 1 375 computations (33.2% saved)
| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 2.0ms | 6.800764847474649e+174 | 2.4306489579317468e+179 |
| 2.0ms | 0.0019408871564340754 | 43039205.899093024 |
| 2.0ms | -1.4695818202037964e+38 | -1.0897536308285258e+28 |
Compiled 2 038 to 1 385 computations (32% saved)
| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 6.800764847474649e+174 | 2.4306489579317468e+179 |
| 19.0ms | 0.0019408871564340754 | 43039205.899093024 |
| 1.0ms | -1.4695818202037964e+38 | -1.0897536308285258e+28 |
| 11.0ms | 128× | 0 | valid |
| 2.0ms | 37× | 0 | invalid |
Compiled 1 372 to 1 007 computations (26.6% saved)
ival-div: 3.0ms (32.6% of total)ival-log: 2.0ms (21.7% of total)ival-add: 1.0ms (10.9% of total)ival-exp: 1.0ms (10.9% of total)ival-mult: 1.0ms (10.9% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 6.800764847474649e+174 | 2.4306489579317468e+179 |
| 1.0ms | 0.0019408871564340754 | 43039205.899093024 |
| 1.0ms | -1.4695818202037964e+38 | -1.0897536308285258e+28 |
Compiled 1 462 to 1 061 computations (27.4% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 0.0019408871564340754 | 43039205.899093024 |
| 1.0ms | -1.4695818202037964e+38 | -1.0897536308285258e+28 |
Compiled 744 to 583 computations (21.6% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 0.0019408871564340754 | 43039205.899093024 |
Compiled 324 to 253 computations (21.9% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 141 | 1117 |
| 1 | 158 | 1117 |
| 2 | 170 | 1117 |
| 3 | 178 | 1117 |
| 4 | 181 | 1117 |
| 5 | 182 | 1117 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 x #s(literal -10999999999999999321529384960 binary64)) (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) (if (<=.f64 x #s(literal 7566047373982433/9007199254740992 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x))) |
(if (<=.f64 x #s(literal -10999999999999999321529384960 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 x) 1/2) y) -1) (/.f64 #s(approx (+ (* (+ (* 1/2 y) -1) x) (* 1/2 y)) (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) x)) y #s(literal 1 binary64))) x) (if (<=.f64 x #s(literal 7566047373982433/9007199254740992 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (if (<=.f64 x #s(literal 7500000000000000256266672757433058291526672652617150329954478820486124320119527707005095163491710987976334009200395548727569733017316199417980546440566407168 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (fma.f64 #s(approx (+ (* (* (neg x) (+ (* (- (+ (/ 1/3 (* x x)) 1/6) (/ 1/2 x)) y) (- 1/2 (/ 1/2 x)))) y) (neg x)) (/.f64 (fma.f64 (fma.f64 (neg.f64 y) (fma.f64 #s(literal -1/2 binary64) y #s(literal -1/2 binary64)) (*.f64 (fma.f64 (neg.f64 y) (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) #s(literal -1 binary64)) x)) x (*.f64 (*.f64 y y) #s(literal -1/3 binary64))) x)) y (neg.f64 x)))) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (/.f64 (fma.f64 (fma.f64 (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)))) |
(if (<=.f64 x #s(literal -10999999999999999321529384960 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 x) 1/2) y) -1) (/.f64 #s(approx (+ (* (+ (* 1/2 y) -1) x) (* 1/2 y)) (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) x)) y #s(literal 1 binary64))) x) (if (<=.f64 x #s(literal 7566047373982433/9007199254740992 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (if (<=.f64 x #s(literal 89999999999999993922037553371894216013971782943511060207822151265262637070970095505978417866419829778200875078414332440653923094671536901665752148459011961825915729464693746565120 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (fma.f64 #s(approx (+ (* (* (neg x) (+ (* (- (+ (/ 1/3 (* x x)) 1/6) (/ 1/2 x)) y) (- 1/2 (/ 1/2 x)))) y) (neg x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) (neg.f64 x))) y (neg.f64 x)))) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (/.f64 (fma.f64 (fma.f64 (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)))) |
(if (<=.f64 x #s(literal -10999999999999999321529384960 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 x) 1/2) y) -1) (/.f64 #s(approx (+ (* (+ (* 1/2 y) -1) x) (* 1/2 y)) (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) x)) y #s(literal 1 binary64))) x) (if (<=.f64 x #s(literal 7566047373982433/9007199254740992 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (if (<=.f64 x #s(literal 92000000000000003384654482916755259698986638961239271578905384781912846287492430311364777029292171565003247101790701748055286292731036206769292003479273786417990687076258720776192 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (fma.f64 #s(approx (+ (* (* (neg x) (+ (* (- (+ (/ 1/3 (* x x)) 1/6) (/ 1/2 x)) y) (- 1/2 (/ 1/2 x)))) y) (neg x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) (neg.f64 x))) y (neg.f64 x)))) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x)))) |
(if (<=.f64 x #s(literal -10999999999999999321529384960 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) (if (<=.f64 x #s(literal 7566047373982433/9007199254740992 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (if (<=.f64 x #s(literal 92000000000000003384654482916755259698986638961239271578905384781912846287492430311364777029292171565003247101790701748055286292731036206769292003479273786417990687076258720776192 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (fma.f64 #s(approx (+ (* (* (neg x) (+ (* (- (+ (/ 1/3 (* x x)) 1/6) (/ 1/2 x)) y) (- 1/2 (/ 1/2 x)))) y) (neg x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) (neg.f64 x))) y (neg.f64 x)))) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x)))) |
(if (<=.f64 x #s(literal -10999999999999999321529384960 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) (if (<=.f64 x #s(literal 2206763817411543/4503599627370496 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (if (<=.f64 x #s(literal 89999999999999993922037553371894216013971782943511060207822151265262637070970095505978417866419829778200875078414332440653923094671536901665752148459011961825915729464693746565120 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (neg.f64 (fma.f64 y x x)))) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x)))) |
(if (<=.f64 x #s(literal -10999999999999999321529384960 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) #s(approx (+ (* -1/6 y) 1/2) (*.f64 #s(literal -1/6 binary64) y))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) (if (<=.f64 x #s(literal 2206763817411543/4503599627370496 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (if (<=.f64 x #s(literal 89999999999999993922037553371894216013971782943511060207822151265262637070970095505978417866419829778200875078414332440653923094671536901665752148459011961825915729464693746565120 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (neg.f64 (fma.f64 y x x)))) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 x)) (/ 1/3 (* x x))) (neg y)) (+ (/ 1/2 x) 1/2)) #s(approx (+ (* -1/6 y) 1/2) (*.f64 #s(literal -1/6 binary64) y))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x)))) |
(if (<=.f64 x #s(literal -10999999999999999321529384960 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 2206763817411543/4503599627370496 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (neg.f64 (fma.f64 y x x)))))) |
(if (<=.f64 x #s(literal 2206763817411543/4503599627370496 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (neg.f64 (fma.f64 y x x))))) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) |
| Outputs |
|---|
(if (<=.f64 x #s(literal -10999999999999999321529384960 binary64)) (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) (if (<=.f64 x #s(literal 7566047373982433/9007199254740992 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x))) |
(if (<=.f64 x #s(literal -10999999999999999321529384960 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 x) 1/2) y) -1) (/.f64 #s(approx (+ (* (+ (* 1/2 y) -1) x) (* 1/2 y)) (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) x)) y #s(literal 1 binary64))) x) (if (<=.f64 x #s(literal 7566047373982433/9007199254740992 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (if (<=.f64 x #s(literal 7500000000000000256266672757433058291526672652617150329954478820486124320119527707005095163491710987976334009200395548727569733017316199417980546440566407168 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (fma.f64 #s(approx (+ (* (* (neg x) (+ (* (- (+ (/ 1/3 (* x x)) 1/6) (/ 1/2 x)) y) (- 1/2 (/ 1/2 x)))) y) (neg x)) (/.f64 (fma.f64 (fma.f64 (neg.f64 y) (fma.f64 #s(literal -1/2 binary64) y #s(literal -1/2 binary64)) (*.f64 (fma.f64 (neg.f64 y) (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) #s(literal -1 binary64)) x)) x (*.f64 (*.f64 y y) #s(literal -1/3 binary64))) x)) y (neg.f64 x)))) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (/.f64 (fma.f64 (fma.f64 (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)))) |
(if (<=.f64 x #s(literal -10999999999999999321529384960 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 x) 1/2) y) -1) (/.f64 #s(approx (+ (* (+ (* 1/2 y) -1) x) (* 1/2 y)) (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) x)) y #s(literal 1 binary64))) x) (if (<=.f64 x #s(literal 7566047373982433/9007199254740992 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (if (<=.f64 x #s(literal 7500000000000000256266672757433058291526672652617150329954478820486124320119527707005095163491710987976334009200395548727569733017316199417980546440566407168 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (fma.f64 #s(approx (+ (* (* (neg x) (+ (* (- (+ (/ 1/3 (* x x)) 1/6) (/ 1/2 x)) y) (- 1/2 (/ 1/2 x)))) y) (neg x)) (/.f64 (fma.f64 (fma.f64 (neg.f64 y) (fma.f64 #s(literal -1/2 binary64) y #s(literal -1/2 binary64)) (*.f64 (fma.f64 (neg.f64 y) (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) #s(literal -1 binary64)) x)) x (*.f64 #s(literal -1/3 binary64) (*.f64 y y))) x)) y (neg.f64 x)))) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 x) 1/2) y) -1) y) 1) (/.f64 (fma.f64 (fma.f64 (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)))) |
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(if (<=.f64 x #s(literal -10999999999999999321529384960 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 2206763817411543/4503599627370496 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (neg.f64 (fma.f64 y x x)))))) |
(if (<=.f64 x #s(literal 2206763817411543/4503599627370496 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (neg.f64 (fma.f64 y x x))))) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 39 |
| 0 | 14 | 39 |
| 1 | 48 | 35 |
| 2 | 276 | 35 |
| 3 | 2526 | 35 |
| 0 | 8637 | 35 |
| 0 | 554 | 3081 |
| 1 | 1674 | 2567 |
| 2 | 5691 | 2486 |
| 0 | 8305 | 2358 |
| 0 | 699 | 4014 |
| 1 | 2220 | 3617 |
| 2 | 7654 | 3590 |
| 0 | 8093 | 3345 |
| 0 | 1118 | 6670 |
| 1 | 3672 | 6241 |
| 0 | 8429 | 5869 |
| 0 | 1021 | 6424 |
| 1 | 3298 | 5597 |
| 0 | 8122 | 5318 |
| 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 |
| 1× | node limit |
| 1× | iter limit |
Compiled 1 346 to 391 computations (71% saved)
Compiled 2 344 to 350 computations (85.1% saved)
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