
Time bar (total: 17.5s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 3 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 4 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 5 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 6 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 7 |
| 3.1% | 3.1% | 96.7% | 0.2% | 0% | 0% | 0% | 8 |
| 4.7% | 4.7% | 95.1% | 0.2% | 0% | 0% | 0% | 9 |
| 4.7% | 4.7% | 95.1% | 0.2% | 0% | 0% | 0% | 10 |
| 16.4% | 16.4% | 83.4% | 0.2% | 0% | 0% | 0% | 11 |
| 18.8% | 17.5% | 76% | 0.2% | 0% | 6.2% | 0% | 12 |
Compiled 15 to 14 computations (6.7% saved)
| 2.6s | 4 512× | 1 | valid |
| 1.1s | 1 177× | 5 | exit |
| 879.0ms | 3 744× | 0 | valid |
| 335.0ms | 679× | 1 | invalid |
| 205.0ms | 373× | 4 | exit |
| 148.0ms | 1 863× | 0 | invalid |
ival-log: 1.4s (32.9% of total)ival-exp: 839.0ms (19.8% of total)adjust: 572.0ms (13.5% of total)ival-sub: 513.0ms (12.1% of total)ival-div: 403.0ms (9.5% of total)ival-mult: 375.0ms (8.9% of total)ival-add: 112.0ms (2.6% of total)ival-true: 11.0ms (0.3% of total)exact: 9.0ms (0.2% of total)ival-assert: 6.0ms (0.1% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 158 | 74 | (-1.4366649313267324e-241 -5.381533881843455e-63 2.094237989483821e-278 -7.000693281737135e-84) | 1 | (8.300100099751443e-90 -2.1128059431349794e-305 9.985515166637896e-5 -1.5711421133882756e+121) | (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) |
| 66 | 3 | (-9.73241157109077e-102 42174115.5645 -3.35830311689454e-276 5.340437207990336e+73) | 0 | - | (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) |
| 20 | 0 | - | 20 | (-1.5528302233994143e+303 -5.7744729893765925e-238 6.1634218620224546e-220 -4.5600081816768475e-236) | (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) |
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 1 binary64) y) |
| 0 | 0 | - | 0 | - | (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) |
| 0 | 0 | - | 0 | - | t |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (*.f64 y (exp.f64 z)) |
| 0 | 0 | - | 0 | - | x |
| 0 | 0 | - | 0 | - | (exp.f64 z) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
log.f64 | (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) | sensitivity | 168 | 0 |
+.f64 | (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) | cancellation | 27 | 0 |
log.f64 | (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) | uflow-rescue | 26 | 0 |
| ↳ | (exp.f64 z) | underflow | 71 | |
| ↳ | (*.f64 y (exp.f64 z)) | underflow | 72 | |
| ↳ | (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) | underflow | 52 | |
log.f64 | (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) | oflow-rescue | 1 | 0 |
| ↳ | (exp.f64 z) | overflow | 1 | |
| ↳ | (*.f64 y (exp.f64 z)) | overflow | 1 | |
| ↳ | (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) | overflow | 1 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 58 | 37 |
| - | 137 | 24 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 58 | 0 | 37 |
| - | 137 | 0 | 24 |
| number | freq |
|---|---|
| 0 | 61 |
| 1 | 168 |
| 2 | 27 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 112.0ms | 326× | 1 | valid |
| 104.0ms | 134× | 2 | valid |
| 5.0ms | 52× | 0 | valid |
Compiled 237 to 79 computations (66.7% saved)
ival-log: 72.0ms (38.9% of total)ival-div: 40.0ms (21.6% of total)ival-exp: 34.0ms (18.4% of total)adjust: 15.0ms (8.1% of total)ival-sub: 11.0ms (5.9% of total)ival-mult: 6.0ms (3.2% of total)ival-add: 5.0ms (2.7% of total)ival-true: 1.0ms (0.5% of total)ival-assert: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 67 | 194 |
| 1 | 147 | 186 |
| 2 | 389 | 184 |
| 3 | 977 | 184 |
| 4 | 2674 | 184 |
| 5 | 4762 | 184 |
| 6 | 5442 | 184 |
| 7 | 5699 | 184 |
| 8 | 5904 | 184 |
| 9 | 6037 | 184 |
| 10 | 6125 | 184 |
| 11 | 6572 | 184 |
| 12 | 6716 | 184 |
| 13 | 6728 | 184 |
| 14 | 6738 | 184 |
| 15 | 6738 | 184 |
| 16 | 6738 | 184 |
| 17 | 6738 | 184 |
| 0 | 12 | 13 |
| 0 | 19 | 13 |
| 1 | 29 | 13 |
| 2 | 54 | 13 |
| 3 | 93 | 13 |
| 4 | 188 | 13 |
| 5 | 356 | 13 |
| 6 | 509 | 13 |
| 7 | 570 | 13 |
| 8 | 637 | 13 |
| 9 | 689 | 13 |
| 10 | 817 | 13 |
| 11 | 907 | 13 |
| 12 | 914 | 13 |
| 13 | 915 | 13 |
| 0 | 915 | 9 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) |
| Outputs |
|---|
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
Compiled 13 to 12 computations (7.7% saved)
Compiled 0 to 4 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 64.6% | (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) |
Compiled 13 to 12 computations (7.7% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) | |
| cost-diff | 0 | (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) | |
| cost-diff | 64 | (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) | |
| cost-diff | 320 | (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 55 |
| 0 | 19 | 55 |
| 1 | 29 | 55 |
| 2 | 54 | 55 |
| 3 | 93 | 55 |
| 4 | 188 | 55 |
| 5 | 356 | 55 |
| 6 | 509 | 55 |
| 7 | 570 | 55 |
| 8 | 637 | 55 |
| 9 | 689 | 55 |
| 10 | 817 | 55 |
| 11 | 907 | 55 |
| 12 | 914 | 55 |
| 13 | 915 | 55 |
| 0 | 915 | 40 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) |
x |
(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) |
(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) |
(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) |
(-.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
(*.f64 y (exp.f64 z)) |
(exp.f64 z) |
z |
t |
| Outputs |
|---|
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
x |
(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) |
(log1p.f64 (*.f64 (expm1.f64 z) y)) |
(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) |
(fma.f64 (expm1.f64 z) y #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
(*.f64 y (exp.f64 z)) |
(*.f64 (exp.f64 z) y) |
(exp.f64 z) |
z |
t |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.01171875 | (*.f64 y (exp.f64 z)) | |
| accuracy | 4.537923498649758 | (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) | |
| accuracy | 16.032612641562146 | (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) | |
| accuracy | 35.91433548841257 | (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) |
| 167.0ms | 67× | 2 | valid |
| 160.0ms | 163× | 1 | valid |
| 2.0ms | 26× | 0 | valid |
Compiled 112 to 26 computations (76.8% saved)
adjust: 129.0ms (66% of total)ival-log: 33.0ms (16.9% of total)ival-exp: 17.0ms (8.7% of total)ival-sub: 6.0ms (3.1% of total)ival-div: 4.0ms (2% of total)ival-mult: 3.0ms (1.5% of total)ival-add: 3.0ms (1.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) |
(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) |
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) |
(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) |
(*.f64 y (exp.f64 z)) |
| Outputs |
|---|
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
x |
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x))))) |
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) |
1 |
(+ 1 (* y (- (exp z) 1))) |
(* y (- (exp z) 1)) |
(* y (- (+ (exp z) (* -1/2 (* y (pow (- (exp z) 1) 2)))) 1)) |
(* y (- (+ (exp z) (* y (+ (* -1/2 (pow (- (exp z) 1) 2)) (* 1/3 (* y (pow (- (exp z) 1) 3)))))) 1)) |
(* y (- (+ (exp z) (* y (+ (* -1/2 (pow (- (exp z) 1) 2)) (* y (+ (* -1/4 (* y (pow (- (exp z) 1) 4))) (* 1/3 (pow (- (exp z) 1) 3))))))) 1)) |
(+ x (* y (- (/ 1 t) (/ (exp z) t)))) |
(+ x (* y (- (+ (* 1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ 1 t)) (/ (exp z) t)))) |
(+ x (* y (- (+ (* y (- (* -1/3 (/ (* y (pow (- (exp z) 1) 3)) t)) (* -1/2 (/ (pow (- (exp z) 1) 2) t)))) (/ 1 t)) (/ (exp z) t)))) |
(/ (* y (- (exp z) 1)) t) |
(* y (- (+ (* -1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ (exp z) t)) (/ 1 t))) |
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) t)) (* 1/3 (/ (* y (pow (- (exp z) 1) 3)) t)))) (/ (exp z) t)) (/ 1 t))) |
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) t)) (* y (+ (* -1/4 (/ (* y (pow (- (exp z) 1) 4)) t)) (* 1/3 (/ (pow (- (exp z) 1) 3) t)))))) (/ (exp z) t)) (/ 1 t))) |
(* y (exp z)) |
(* y (- (+ (exp z) (/ 1 y)) 1)) |
(+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) |
(+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp z) 1))))) |
(- (+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp z) 1))))) (/ 1/2 (* (pow y 2) (pow (- (exp z) 1) 2)))) |
(- (+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (+ (/ 1 (* y (- (exp z) 1))) (* 1/3 (/ 1 (* (pow y 3) (pow (- (exp z) 1) 3))))))) (* 1/2 (/ 1 (* (pow y 2) (pow (- (exp z) 1) 2))))) |
(- x (+ (* -1 (/ (log (/ 1 y)) t)) (/ (log (- (exp z) 1)) t))) |
(- x (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t)))) |
(- (+ x (/ 1/2 (* t (* (pow y 2) (pow (- (exp z) 1) 2))))) (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t)))) |
(- (+ x (* 1/2 (/ 1 (* t (* (pow y 2) (pow (- (exp z) 1) 2)))))) (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (+ (* 1/3 (/ 1 (* t (* (pow y 3) (pow (- (exp z) 1) 3))))) (/ (log (- (exp z) 1)) t))))) |
(/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t) |
(+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t))) |
(- (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t))) (/ 1/2 (* t (* (pow y 2) (pow (- (exp z) 1) 2))))) |
(- (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (+ (* 1/3 (/ 1 (* t (* (pow y 3) (pow (- (exp z) 1) 3))))) (/ (log (- (exp z) 1)) t)))) (* 1/2 (/ 1 (* t (* (pow y 2) (pow (- (exp z) 1) 2)))))) |
(* -1 (* y (+ 1 (* -1 (exp z))))) |
(* -1 (* y (- (+ 1 (* -1 (exp z))) (/ 1 y)))) |
(+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) |
(- (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) (/ 1 (* y (+ 1 (* -1 (exp z)))))) |
(+ (log (+ 1 (* -1 (exp z)))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* 1/2 (/ 1 (* y (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (+ 1 (* -1 (exp z))))) y)))) |
(+ (log (+ 1 (* -1 (exp z)))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (/ 1/3 (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 3))) (+ (/ 1/2 (* y (pow (+ 1 (* -1 (exp z))) 2))) (/ 1 (+ 1 (* -1 (exp z)))))) y)))) |
(- x (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
(- (+ x (/ 1 (* t (* y (+ 1 (* -1 (exp z))))))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
(- (+ x (+ (/ 1/2 (* t (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (* t (* y (+ 1 (* -1 (exp z)))))))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
(- (+ x (* -1 (/ (- (* -1 (/ (+ (* 1/3 (/ 1 (* t (* y (pow (+ 1 (* -1 (exp z))) 3))))) (* 1/2 (/ 1 (* t (pow (+ 1 (* -1 (exp z))) 2))))) y)) (/ 1 (* t (+ 1 (* -1 (exp z)))))) y))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
(/ (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) t) |
(- (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t)) (/ 1 (* t (* y (+ 1 (* -1 (exp z))))))) |
(+ (* -1 (/ (log (/ -1 y)) t)) (+ (* -1 (/ (+ (* 1/2 (/ 1 (* t (* y (pow (+ 1 (* -1 (exp z))) 2))))) (/ 1 (* t (+ 1 (* -1 (exp z)))))) y)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
(+ (* -1 (/ (log (/ -1 y)) t)) (+ (* -1 (/ (+ (/ 1/3 (* t (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 3)))) (+ (/ 1/2 (* t (* y (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (* t (+ 1 (* -1 (exp z))))))) y)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
(+ 1 (* y z)) |
(+ 1 (* z (+ y (* 1/2 (* y z))))) |
(+ 1 (* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y)))))) |
(* y z) |
(* z (+ y (* 1/2 (* z (+ y (* -1 (pow y 2))))))) |
(* z (+ y (* z (+ (* 1/6 (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))) (* 1/2 (+ y (* -1 (pow y 2)))))))) |
(* z (+ y (* z (+ (* 1/2 (+ y (* -1 (pow y 2)))) (* z (+ (* 1/24 (* z (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3)))))))) (* 1/6 (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))))))))) |
(+ x (* -1 (/ (* y z) t))) |
(+ x (* z (- (* -1/2 (/ (* z (+ y (* -1 (pow y 2)))) t)) (/ y t)))) |
(+ x (* z (- (* z (- (* -1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) t)) (* 1/2 (/ (+ y (* -1 (pow y 2))) t)))) (/ y t)))) |
(/ (* y z) t) |
(* z (+ (* 1/2 (/ (* z (+ y (* -1 (pow y 2)))) t)) (/ y t))) |
(* z (+ (* z (+ (* 1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) t)) (* 1/2 (/ (+ y (* -1 (pow y 2))) t)))) (/ y t))) |
(* z (+ (* z (+ (* 1/2 (/ (+ y (* -1 (pow y 2))) t)) (* z (+ (* 1/24 (/ (* z (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3))))))) t)) (* 1/6 (/ (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))) t)))))) (/ y t))) |
y |
(+ y (* y z)) |
(+ y (* z (+ y (* 1/2 (* y z))))) |
(+ y (* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y)))))) |
(- (+ 1 (* y (exp z))) y) |
(log (- (+ 1 (* y (exp z))) y)) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) |
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 55.0ms | z | @ | -inf | ((+ (- 1 y) (* y (exp z))) (log (+ (- 1 y) (* y (exp z)))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* y (exp z))) |
| 42.0ms | z | @ | inf | ((+ (- 1 y) (* y (exp z))) (log (+ (- 1 y) (* y (exp z)))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* y (exp z))) |
| 28.0ms | y | @ | 0 | ((+ (- 1 y) (* y (exp z))) (log (+ (- 1 y) (* y (exp z)))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* y (exp z))) |
| 23.0ms | t | @ | -inf | ((+ (- 1 y) (* y (exp z))) (log (+ (- 1 y) (* y (exp z)))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* y (exp z))) |
| 14.0ms | t | @ | inf | ((+ (- 1 y) (* y (exp z))) (log (+ (- 1 y) (* y (exp z)))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* y (exp z))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 335 | 1607 |
| 1 | 1012 | 1507 |
| 2 | 3166 | 1458 |
| 0 | 8225 | 1214 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
x |
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x))))) |
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) |
1 |
(+ 1 (* y (- (exp z) 1))) |
(* y (- (exp z) 1)) |
(* y (- (+ (exp z) (* -1/2 (* y (pow (- (exp z) 1) 2)))) 1)) |
(* y (- (+ (exp z) (* y (+ (* -1/2 (pow (- (exp z) 1) 2)) (* 1/3 (* y (pow (- (exp z) 1) 3)))))) 1)) |
(* y (- (+ (exp z) (* y (+ (* -1/2 (pow (- (exp z) 1) 2)) (* y (+ (* -1/4 (* y (pow (- (exp z) 1) 4))) (* 1/3 (pow (- (exp z) 1) 3))))))) 1)) |
(+ x (* y (- (/ 1 t) (/ (exp z) t)))) |
(+ x (* y (- (+ (* 1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ 1 t)) (/ (exp z) t)))) |
(+ x (* y (- (+ (* y (- (* -1/3 (/ (* y (pow (- (exp z) 1) 3)) t)) (* -1/2 (/ (pow (- (exp z) 1) 2) t)))) (/ 1 t)) (/ (exp z) t)))) |
(/ (* y (- (exp z) 1)) t) |
(* y (- (+ (* -1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ (exp z) t)) (/ 1 t))) |
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) t)) (* 1/3 (/ (* y (pow (- (exp z) 1) 3)) t)))) (/ (exp z) t)) (/ 1 t))) |
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) t)) (* y (+ (* -1/4 (/ (* y (pow (- (exp z) 1) 4)) t)) (* 1/3 (/ (pow (- (exp z) 1) 3) t)))))) (/ (exp z) t)) (/ 1 t))) |
(* y (exp z)) |
(* y (- (+ (exp z) (/ 1 y)) 1)) |
(+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) |
(+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp z) 1))))) |
(- (+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp z) 1))))) (/ 1/2 (* (pow y 2) (pow (- (exp z) 1) 2)))) |
(- (+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (+ (/ 1 (* y (- (exp z) 1))) (* 1/3 (/ 1 (* (pow y 3) (pow (- (exp z) 1) 3))))))) (* 1/2 (/ 1 (* (pow y 2) (pow (- (exp z) 1) 2))))) |
(- x (+ (* -1 (/ (log (/ 1 y)) t)) (/ (log (- (exp z) 1)) t))) |
(- x (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t)))) |
(- (+ x (/ 1/2 (* t (* (pow y 2) (pow (- (exp z) 1) 2))))) (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t)))) |
(- (+ x (* 1/2 (/ 1 (* t (* (pow y 2) (pow (- (exp z) 1) 2)))))) (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (+ (* 1/3 (/ 1 (* t (* (pow y 3) (pow (- (exp z) 1) 3))))) (/ (log (- (exp z) 1)) t))))) |
(/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t) |
(+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t))) |
(- (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t))) (/ 1/2 (* t (* (pow y 2) (pow (- (exp z) 1) 2))))) |
(- (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (+ (* 1/3 (/ 1 (* t (* (pow y 3) (pow (- (exp z) 1) 3))))) (/ (log (- (exp z) 1)) t)))) (* 1/2 (/ 1 (* t (* (pow y 2) (pow (- (exp z) 1) 2)))))) |
(* -1 (* y (+ 1 (* -1 (exp z))))) |
(* -1 (* y (- (+ 1 (* -1 (exp z))) (/ 1 y)))) |
(+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) |
(- (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) (/ 1 (* y (+ 1 (* -1 (exp z)))))) |
(+ (log (+ 1 (* -1 (exp z)))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* 1/2 (/ 1 (* y (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (+ 1 (* -1 (exp z))))) y)))) |
(+ (log (+ 1 (* -1 (exp z)))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (/ 1/3 (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 3))) (+ (/ 1/2 (* y (pow (+ 1 (* -1 (exp z))) 2))) (/ 1 (+ 1 (* -1 (exp z)))))) y)))) |
(- x (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
(- (+ x (/ 1 (* t (* y (+ 1 (* -1 (exp z))))))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
(- (+ x (+ (/ 1/2 (* t (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (* t (* y (+ 1 (* -1 (exp z)))))))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
(- (+ x (* -1 (/ (- (* -1 (/ (+ (* 1/3 (/ 1 (* t (* y (pow (+ 1 (* -1 (exp z))) 3))))) (* 1/2 (/ 1 (* t (pow (+ 1 (* -1 (exp z))) 2))))) y)) (/ 1 (* t (+ 1 (* -1 (exp z)))))) y))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
(/ (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) t) |
(- (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t)) (/ 1 (* t (* y (+ 1 (* -1 (exp z))))))) |
(+ (* -1 (/ (log (/ -1 y)) t)) (+ (* -1 (/ (+ (* 1/2 (/ 1 (* t (* y (pow (+ 1 (* -1 (exp z))) 2))))) (/ 1 (* t (+ 1 (* -1 (exp z)))))) y)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
(+ (* -1 (/ (log (/ -1 y)) t)) (+ (* -1 (/ (+ (/ 1/3 (* t (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 3)))) (+ (/ 1/2 (* t (* y (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (* t (+ 1 (* -1 (exp z))))))) y)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
(+ 1 (* y z)) |
(+ 1 (* z (+ y (* 1/2 (* y z))))) |
(+ 1 (* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y)))))) |
(* y z) |
(* z (+ y (* 1/2 (* z (+ y (* -1 (pow y 2))))))) |
(* z (+ y (* z (+ (* 1/6 (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))) (* 1/2 (+ y (* -1 (pow y 2)))))))) |
(* z (+ y (* z (+ (* 1/2 (+ y (* -1 (pow y 2)))) (* z (+ (* 1/24 (* z (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3)))))))) (* 1/6 (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))))))))) |
(+ x (* -1 (/ (* y z) t))) |
(+ x (* z (- (* -1/2 (/ (* z (+ y (* -1 (pow y 2)))) t)) (/ y t)))) |
(+ x (* z (- (* z (- (* -1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) t)) (* 1/2 (/ (+ y (* -1 (pow y 2))) t)))) (/ y t)))) |
(/ (* y z) t) |
(* z (+ (* 1/2 (/ (* z (+ y (* -1 (pow y 2)))) t)) (/ y t))) |
(* z (+ (* z (+ (* 1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) t)) (* 1/2 (/ (+ y (* -1 (pow y 2))) t)))) (/ y t))) |
(* z (+ (* z (+ (* 1/2 (/ (+ y (* -1 (pow y 2))) t)) (* z (+ (* 1/24 (/ (* z (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3))))))) t)) (* 1/6 (/ (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))) t)))))) (/ y t))) |
y |
(+ y (* y z)) |
(+ y (* z (+ y (* 1/2 (* y z))))) |
(+ y (* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y)))))) |
(- (+ 1 (* y (exp z))) y) |
(log (- (+ 1 (* y (exp z))) y)) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) |
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) |
| Outputs |
|---|
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)) |
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
x |
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x))))) |
(fma.f64 (/.f64 x x) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)) x) |
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) |
(fma.f64 (/.f64 x x) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* y (- (exp z) 1))) |
(fma.f64 (expm1.f64 z) y #s(literal 1 binary64)) |
(* y (- (exp z) 1)) |
(*.f64 (expm1.f64 z) y) |
(* y (- (+ (exp z) (* -1/2 (* y (pow (- (exp z) 1) 2)))) 1)) |
(*.f64 (fma.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) y) #s(literal -1/2 binary64) (expm1.f64 z)) y) |
(* y (- (+ (exp z) (* y (+ (* -1/2 (pow (- (exp z) 1) 2)) (* 1/3 (* y (pow (- (exp z) 1) 3)))))) 1)) |
(*.f64 (fma.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 1/3 binary64) y) (expm1.f64 z) #s(literal -1/2 binary64))) y (expm1.f64 z)) y) |
(* y (- (+ (exp z) (* y (+ (* -1/2 (pow (- (exp z) 1) 2)) (* y (+ (* -1/4 (* y (pow (- (exp z) 1) 4))) (* 1/3 (pow (- (exp z) 1) 3))))))) 1)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 4 binary64)) y) #s(literal -1/4 binary64) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) #s(literal 1/3 binary64))) y (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) #s(literal -1/2 binary64))) y (expm1.f64 z)) y) |
(+ x (* y (- (/ 1 t) (/ (exp z) t)))) |
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 (exp.f64 z) t)) y x) |
(+ x (* y (- (+ (* 1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ 1 t)) (/ (exp z) t)))) |
(fma.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) t) #s(literal 1/2 binary64)) y (-.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 (exp.f64 z) t))) y x) |
(+ x (* y (- (+ (* y (- (* -1/3 (/ (* y (pow (- (exp z) 1) 3)) t)) (* -1/2 (/ (pow (- (exp z) 1) 2) t)))) (/ 1 t)) (/ (exp z) t)))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) t) #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) y) t) #s(literal -1/3 binary64))) y (-.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 (exp.f64 z) t))) y x) |
(/ (* y (- (exp z) 1)) t) |
(*.f64 (/.f64 (expm1.f64 z) t) y) |
(* y (- (+ (* -1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ (exp z) t)) (/ 1 t))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) t) (/.f64 (expm1.f64 z) t)) y) |
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) t)) (* 1/3 (/ (* y (pow (- (exp z) 1) 3)) t)))) (/ (exp z) t)) (/ 1 t))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) t) #s(literal 1/3 binary64)) y (*.f64 (/.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) t) #s(literal -1/2 binary64))) y (/.f64 (expm1.f64 z) t)) y) |
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) t)) (* y (+ (* -1/4 (/ (* y (pow (- (exp z) 1) 4)) t)) (* 1/3 (/ (pow (- (exp z) 1) 3) t)))))) (/ (exp z) t)) (/ 1 t))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) t) #s(literal 1/3 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 4 binary64)) y) t) #s(literal -1/4 binary64))) y (*.f64 (/.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) t) #s(literal -1/2 binary64))) y (/.f64 (expm1.f64 z) t)) y) |
(* y (exp z)) |
(*.f64 (exp.f64 z) y) |
(* y (- (+ (exp z) (/ 1 y)) 1)) |
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (expm1.f64 z)) y) |
(+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) |
(+.f64 (log.f64 y) (log.f64 (expm1.f64 z))) |
(+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp z) 1))))) |
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 z) y)) (log.f64 y)) (log.f64 (expm1.f64 z))) |
(- (+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp z) 1))))) (/ 1/2 (* (pow y 2) (pow (- (exp z) 1) 2)))) |
(-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 z) y)) (log.f64 y)) (log.f64 (expm1.f64 z))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) y) y))) |
(- (+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (+ (/ 1 (* y (- (exp z) 1))) (* 1/3 (/ 1 (* (pow y 3) (pow (- (exp z) 1) 3))))))) (* 1/2 (/ 1 (* (pow y 2) (pow (- (exp z) 1) 2))))) |
(+.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) y) y)) (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (expm1.f64 z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 z) y))) (log.f64 y))) (log.f64 (expm1.f64 z))) |
(- x (+ (* -1 (/ (log (/ 1 y)) t)) (/ (log (- (exp z) 1)) t))) |
(-.f64 x (/.f64 (+.f64 (log.f64 y) (log.f64 (expm1.f64 z))) t)) |
(- x (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t)))) |
(-.f64 (-.f64 x (/.f64 (+.f64 (log.f64 y) (log.f64 (expm1.f64 z))) t)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 z) y)) t)) |
(- (+ x (/ 1/2 (* t (* (pow y 2) (pow (- (exp z) 1) 2))))) (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t)))) |
(-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) y) y)) t) x) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 z) y)) t) (/.f64 (+.f64 (log.f64 y) (log.f64 (expm1.f64 z))) t))) |
(- (+ x (* 1/2 (/ 1 (* t (* (pow y 2) (pow (- (exp z) 1) 2)))))) (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (+ (* 1/3 (/ 1 (* t (* (pow y 3) (pow (- (exp z) 1) 3))))) (/ (log (- (exp z) 1)) t))))) |
(-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) y) y)) t) x) (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) t)) (pow.f64 (expm1.f64 z) #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 z) y)) t)) (/.f64 (+.f64 (log.f64 y) (log.f64 (expm1.f64 z))) t))) |
(/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t) |
(/.f64 (+.f64 (log.f64 y) (log.f64 (expm1.f64 z))) t) |
(+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t))) |
(+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 z) y)) t) (/.f64 (+.f64 (log.f64 y) (log.f64 (expm1.f64 z))) t)) |
(- (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t))) (/ 1/2 (* t (* (pow y 2) (pow (- (exp z) 1) 2))))) |
(+.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) y) y) t)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 z) y)) t)) (/.f64 (+.f64 (log.f64 y) (log.f64 (expm1.f64 z))) t)) |
(- (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (+ (* 1/3 (/ 1 (* t (* (pow y 3) (pow (- (exp z) 1) 3))))) (/ (log (- (exp z) 1)) t)))) (* 1/2 (/ 1 (* t (* (pow y 2) (pow (- (exp z) 1) 2)))))) |
(+.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) y) y) t)) (+.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) t)) (pow.f64 (expm1.f64 z) #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 z) y)) t))) (/.f64 (+.f64 (log.f64 y) (log.f64 (expm1.f64 z))) t)) |
(* -1 (* y (+ 1 (* -1 (exp z))))) |
(*.f64 (expm1.f64 z) y) |
(* -1 (* y (- (+ 1 (* -1 (exp z))) (/ 1 y)))) |
(fma.f64 (expm1.f64 z) y #s(literal 1 binary64)) |
(+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) |
(-.f64 (log1p.f64 (neg.f64 (exp.f64 z))) (log.f64 (/.f64 #s(literal -1 binary64) y))) |
(- (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) (/ 1 (* y (+ 1 (* -1 (exp z)))))) |
(+.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 z))) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 z) y))) |
(+ (log (+ 1 (* -1 (exp z)))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* 1/2 (/ 1 (* y (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (+ 1 (* -1 (exp z))))) y)))) |
(-.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 z))) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) (pow.f64 (neg.f64 (expm1.f64 z)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 z)))) y)) |
(+ (log (+ 1 (* -1 (exp z)))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (/ 1/3 (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 3))) (+ (/ 1/2 (* y (pow (+ 1 (* -1 (exp z))) 2))) (/ 1 (+ 1 (* -1 (exp z)))))) y)))) |
(-.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 z))) (/.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) (pow.f64 (neg.f64 (expm1.f64 z)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 z)))) (/.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y y)) (pow.f64 (neg.f64 (expm1.f64 z)) #s(literal 3 binary64)))) y)) (log.f64 (/.f64 #s(literal -1 binary64) y))) |
(- x (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
(-.f64 x (/.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 z))) (log.f64 (/.f64 #s(literal -1 binary64) y))) t)) |
(- (+ x (/ 1 (* t (* y (+ 1 (* -1 (exp z))))))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
(-.f64 (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) y) (neg.f64 (expm1.f64 z))) x) (/.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 z))) (log.f64 (/.f64 #s(literal -1 binary64) y))) t)) |
(- (+ x (+ (/ 1/2 (* t (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (* t (* y (+ 1 (* -1 (exp z)))))))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
(-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t y) y)) (pow.f64 (neg.f64 (expm1.f64 z)) #s(literal 2 binary64))) (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) y) (neg.f64 (expm1.f64 z))) x)) (/.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 z))) (log.f64 (/.f64 #s(literal -1 binary64) y))) t)) |
(- (+ x (* -1 (/ (- (* -1 (/ (+ (* 1/3 (/ 1 (* t (* y (pow (+ 1 (* -1 (exp z))) 3))))) (* 1/2 (/ 1 (* t (pow (+ 1 (* -1 (exp z))) 2))))) y)) (/ 1 (* t (+ 1 (* -1 (exp z)))))) y))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
(-.f64 (-.f64 x (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) t) (neg.f64 (expm1.f64 z))) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) t) (pow.f64 (neg.f64 (expm1.f64 z)) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 t y)) (pow.f64 (neg.f64 (expm1.f64 z)) #s(literal 3 binary64)))) y)) y)) (/.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 z))) (log.f64 (/.f64 #s(literal -1 binary64) y))) t)) |
(/ (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) t) |
(/.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 z))) (log.f64 (/.f64 #s(literal -1 binary64) y))) t) |
(- (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t)) (/ 1 (* t (* y (+ 1 (* -1 (exp z))))))) |
(+.f64 (/.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 z))) (log.f64 (/.f64 #s(literal -1 binary64) y))) t) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 z) y)) t)) |
(+ (* -1 (/ (log (/ -1 y)) t)) (+ (* -1 (/ (+ (* 1/2 (/ 1 (* t (* y (pow (+ 1 (* -1 (exp z))) 2))))) (/ 1 (* t (+ 1 (* -1 (exp z)))))) y)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
(-.f64 (/.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 z))) (log.f64 (/.f64 #s(literal -1 binary64) y))) t) (/.f64 (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) t) y) (pow.f64 (neg.f64 (expm1.f64 z)) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 z))) t)) y)) |
(+ (* -1 (/ (log (/ -1 y)) t)) (+ (* -1 (/ (+ (/ 1/3 (* t (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 3)))) (+ (/ 1/2 (* t (* y (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (* t (+ 1 (* -1 (exp z))))))) y)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
(-.f64 (/.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 z))) (log.f64 (/.f64 #s(literal -1 binary64) y))) t) (/.f64 (+.f64 (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) t) y) (pow.f64 (neg.f64 (expm1.f64 z)) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 z))) t)) (/.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 t y) y)) (pow.f64 (neg.f64 (expm1.f64 z)) #s(literal 3 binary64)))) y)) |
(+ 1 (* y z)) |
(fma.f64 z y #s(literal 1 binary64)) |
(+ 1 (* z (+ y (* 1/2 (* y z))))) |
(fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64)) |
(+ 1 (* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y)))))) |
(fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z y) z #s(literal 1 binary64)) |
(* y z) |
(*.f64 z y) |
(* z (+ y (* 1/2 (* z (+ y (* -1 (pow y 2))))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) z) |
(* z (+ y (* z (+ (* 1/6 (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))) (* 1/2 (+ y (* -1 (pow y 2)))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) z y) z) |
(* z (+ y (* z (+ (* 1/2 (+ y (* -1 (pow y 2)))) (* z (+ (* 1/24 (* z (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3)))))))) (* 1/6 (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) z) (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 12 binary64) #s(literal -7 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) y)) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) #s(literal 1/6 binary64))) z (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) z y) z) |
(+ x (* -1 (/ (* y z) t))) |
(fma.f64 (neg.f64 z) (/.f64 y t) x) |
(+ x (* z (- (* -1/2 (/ (* z (+ y (* -1 (pow y 2)))) t)) (/ y t)))) |
(fma.f64 (-.f64 (*.f64 (/.f64 (*.f64 (-.f64 y (*.f64 y y)) z) t) #s(literal -1/2 binary64)) (/.f64 y t)) z x) |
(+ x (* z (- (* z (- (* -1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) t)) (* 1/2 (/ (+ y (* -1 (pow y 2))) t)))) (/ y t)))) |
(fma.f64 (-.f64 (*.f64 (fma.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal -1/2 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (/.f64 z t)) #s(literal -1/6 binary64))) z) (/.f64 y t)) z x) |
(/ (* y z) t) |
(*.f64 (/.f64 y t) z) |
(* z (+ (* 1/2 (/ (* z (+ y (* -1 (pow y 2)))) t)) (/ y t))) |
(*.f64 (fma.f64 (*.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal 1/2 binary64)) z (/.f64 y t)) z) |
(* z (+ (* z (+ (* 1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) t)) (* 1/2 (/ (+ y (* -1 (pow y 2))) t)))) (/ y t))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (/.f64 z t)) #s(literal 1/6 binary64) (*.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal 1/2 binary64))) z (/.f64 y t)) z) |
(* z (+ (* z (+ (* 1/2 (/ (+ y (* -1 (pow y 2))) t)) (* z (+ (* 1/24 (/ (* z (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3))))))) t)) (* 1/6 (/ (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))) t)))))) (/ y t))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) t) #s(literal 1/6 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 12 binary64) #s(literal -7 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) y)) (/.f64 z t)) #s(literal 1/24 binary64))) z (*.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal 1/2 binary64))) z (/.f64 y t)) z) |
y |
(+ y (* y z)) |
(fma.f64 z y y) |
(+ y (* z (+ y (* 1/2 (* y z))))) |
(fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z y) |
(+ y (* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y)))))) |
(fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z y) z y) |
(- (+ 1 (* y (exp z))) y) |
(fma.f64 (expm1.f64 z) y #s(literal 1 binary64)) |
(log (- (+ 1 (* y (exp z))) y)) |
(log1p.f64 (*.f64 (expm1.f64 z) y)) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 45 |
| 0 | 19 | 45 |
| 1 | 73 | 45 |
| 2 | 593 | 45 |
| 3 | 7204 | 45 |
| 0 | 8984 | 38 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) |
(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) |
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) |
(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) |
(*.f64 y (exp.f64 z)) |
| Outputs |
|---|
(*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64))) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 3 binary64)))) (fma.f64 (*.f64 (exp.f64 z) y) (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64))) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 (*.f64 (exp.f64 z) y) (-.f64 #s(literal 1 binary64) y)) (*.f64 (exp.f64 z) y)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 (exp.f64 z) y) (-.f64 #s(literal 1 binary64) y)) (*.f64 (exp.f64 z) y)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 (*.f64 (exp.f64 z) y) (-.f64 #s(literal 1 binary64) y)) (*.f64 (exp.f64 z) y)) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 (*.f64 (exp.f64 z) y) (-.f64 #s(literal 1 binary64) y)) (*.f64 (exp.f64 z) y)) (-.f64 (*.f64 (-.f64 (*.f64 (exp.f64 z) y) (-.f64 #s(literal 1 binary64) y)) (*.f64 (exp.f64 z) y)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 4 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64))) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)))) (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 y) (exp.f64 z) y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 #s(literal 1 binary64) (exp.f64 z)) #s(literal 1 binary64)))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (exp.f64 z) y) (-.f64 #s(literal 1 binary64) y)))) |
(*.f64 (pow.f64 (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64))) #s(literal -1 binary64)) (+.f64 (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 y) (exp.f64 z) y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (neg.f64 y) (exp.f64 z) y) (fma.f64 y (-.f64 #s(literal 1 binary64) (exp.f64 z)) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64))))) |
(*.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)))))) |
(*.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64))) (pow.f64 (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64))) (/.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y)) (fma.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64))))) |
(*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64))) (*.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y)) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (+.f64 (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y)) (/.f64 (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)))) |
(*.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y)) (*.f64 (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)) (pow.f64 (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))) |
(pow.f64 (pow.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 4 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 4 binary64))) (pow.f64 (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)) #s(literal -1 binary64))) (+.f64 (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 6 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 6 binary64))) (pow.f64 (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 4 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) (exp.f64 z)) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 6 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 6 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64))) #s(literal -1 binary64))) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 3 binary64)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 9 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 9 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64))) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 6 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) (exp.f64 z)) #s(literal 3 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64))) #s(literal 1 binary64)) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)))) (*.f64 (/.f64 (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64))) (/.f64 (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64))))) (+.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64))) (/.f64 (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64))))) |
(/.f64 (-.f64 (*.f64 (fma.f64 (exp.f64 z) y #s(literal 1 binary64)) (fma.f64 (exp.f64 z) y #s(literal 1 binary64))) (*.f64 y y)) (+.f64 (fma.f64 (exp.f64 z) y #s(literal 1 binary64)) y)) |
(/.f64 (-.f64 (*.f64 (fma.f64 (exp.f64 z) y #s(literal 1 binary64)) (fma.f64 (exp.f64 z) y #s(literal 1 binary64))) (*.f64 y y)) (-.f64 (fma.f64 (exp.f64 z) y #s(literal 1 binary64)) (neg.f64 y))) |
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(neg.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) #s(literal 3 binary64))) (neg.f64 (fma.f64 (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) (*.f64 x x))))) |
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t)) #s(literal 2 binary64)))) (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) (neg.f64 t)) (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x))) (neg.f64 (/.f64 (pow.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) (*.f64 x x))))) |
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t)) (-.f64 (*.f64 (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (neg.f64 (/.f64 (pow.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) (*.f64 x x))))) |
(fma.f64 (/.f64 (*.f64 x x) (+.f64 (pow.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) (-.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x) (*.f64 x x)) (neg.f64 (/.f64 (pow.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) #s(literal 2 binary64)) (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x)))) |
(fma.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) #s(literal 2 binary64)))) (-.f64 x (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t)) (neg.f64 (/.f64 (pow.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) #s(literal 2 binary64)) (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x)))) |
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) (*.f64 x x))) (neg.f64 (/.f64 (pow.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) (*.f64 x x))))) |
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) x) |
(fma.f64 #s(literal -1 binary64) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x) |
(fma.f64 (pow.f64 t #s(literal -1 binary64)) (neg.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y)))) x) |
(fma.f64 (*.f64 x x) (/.f64 x (fma.f64 (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) (*.f64 x x))) (neg.f64 (/.f64 (pow.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) (*.f64 x x))))) |
(fma.f64 (*.f64 x x) (pow.f64 (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) #s(literal 2 binary64)) (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) (*.f64 x x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) (*.f64 x x))))) |
(fma.f64 (neg.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y)))) (pow.f64 t #s(literal -1 binary64)) x) |
(fma.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) #s(literal -1 binary64) x) |
(fma.f64 x (/.f64 (*.f64 x x) (fma.f64 (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) (*.f64 x x))) (neg.f64 (/.f64 (pow.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) (*.f64 x x))))) |
(fma.f64 x (/.f64 x (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x)) (neg.f64 (/.f64 (pow.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) #s(literal 2 binary64)) (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x)))) |
(fma.f64 x #s(literal 1 binary64) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) (neg.f64 t))) |
(fma.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) (/.f64 #s(literal -1 binary64) t) x) |
(fma.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) (neg.f64 t)) x) |
(fma.f64 #s(literal 1 binary64) x (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) (neg.f64 t))) |
(-.f64 (+.f64 x #s(literal 0 binary64)) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t)) |
(-.f64 (/.f64 (*.f64 x x) (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x)) (/.f64 (pow.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) #s(literal 2 binary64)) (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) (*.f64 x x))) (/.f64 (pow.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) (*.f64 x x)))) |
(-.f64 #s(literal 0 binary64) (-.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x)) |
(-.f64 x (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t)) |
(+.f64 (/.f64 (*.f64 x x) (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x)) (neg.f64 (/.f64 (pow.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) #s(literal 2 binary64)) (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x)))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) (*.f64 x x))) (neg.f64 (/.f64 (pow.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) (*.f64 x x))))) |
(+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) (neg.f64 t)) x) |
(+.f64 x (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) (neg.f64 t))) |
(*.f64 (pow.f64 (/.f64 t (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 t (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y)))) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) t) (neg.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))))) |
(*.f64 #s(literal -1 binary64) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) (neg.f64 t))) |
(*.f64 (pow.f64 t #s(literal -1 binary64)) (pow.f64 (pow.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 t #s(literal -1 binary64)) (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y)))) |
(*.f64 (neg.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y)))) (*.f64 (/.f64 #s(literal -1 binary64) t) #s(literal 1 binary64))) |
(*.f64 (neg.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y)))) (/.f64 #s(literal -1 binary64) t)) |
(*.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) #s(literal 1 binary64)) |
(*.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) (pow.f64 t #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t)) |
(pow.f64 (/.f64 t (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y)))) #s(literal -1 binary64)) |
(/.f64 (/.f64 (neg.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y)))) #s(literal -1 binary64)) t) |
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 t) (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))))) |
(/.f64 (pow.f64 t #s(literal -1 binary64)) (pow.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y)))) (neg.f64 t)) |
(/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) |
(/.f64 #s(literal 1 binary64) (/.f64 t (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))))) |
(neg.f64 (*.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) (neg.f64 t)) #s(literal 1 binary64))) |
(neg.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) (neg.f64 t))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 t)) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) (neg.f64 t))) |
(-.f64 (/.f64 (log.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)))) t) (/.f64 (log1p.f64 (neg.f64 (fma.f64 (exp.f64 z) y y))) t)) |
(-.f64 (/.f64 (log.f64 (+.f64 (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)))) t) (/.f64 (log.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)))) t)) |
(-.f64 #s(literal 0 binary64) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) (neg.f64 t))) |
(exp.f64 (*.f64 (log.f64 (/.f64 t (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (exp.f64 z) #s(literal 1 binary64)) y) |
(*.f64 (*.f64 (exp.f64 z) y) #s(literal 1 binary64)) |
(*.f64 (exp.f64 z) y) |
(*.f64 y (*.f64 #s(literal 1 binary64) (exp.f64 z))) |
(*.f64 y (exp.f64 z)) |
(*.f64 #s(literal 1 binary64) (*.f64 (exp.f64 z) y)) |
Compiled 12 342 to 1 644 computations (86.7% saved)
13 alts after pruning (13 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 336 | 13 | 349 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 337 | 13 | 350 |
| Status | Accuracy | Program |
|---|---|---|
| 84.8% | (fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) x) | |
| 34.4% | (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) #s(literal 3 binary64))) (fma.f64 (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) (*.f64 x x))) | |
| ▶ | 65.6% | (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64)))) t)) |
| 65.7% | (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z y) z #s(literal 1 binary64)))) t)) | |
| 74.1% | (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t)) | |
| ▶ | 34.9% | (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))) t)) |
| ▶ | 76.2% | (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t)) |
| 63.0% | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) z)) t)) | |
| ▶ | 89.5% | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t)) |
| 80.3% | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) | |
| 88.9% | (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))) | |
| ▶ | 77.7% | (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z))) |
| 25.4% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t))) |
Compiled 548 to 414 computations (24.5% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y)) | |
| cost-diff | 0 | (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))) | |
| cost-diff | 0 | (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))) t) | |
| cost-diff | 0 | (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))) t)) | |
| cost-diff | 0 | #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64))) | |
| cost-diff | 0 | (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64)))) | |
| cost-diff | 0 | (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64)))) t) | |
| cost-diff | 0 | (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64)))) t)) | |
| cost-diff | 0 | #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64)) | |
| cost-diff | 0 | (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) | |
| cost-diff | 0 | (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t) | |
| cost-diff | 0 | (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t)) | |
| cost-diff | 0 | (/.f64 y t) | |
| cost-diff | 0 | (*.f64 (/.f64 y t) z) | |
| cost-diff | 0 | #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z)) | |
| cost-diff | 0 | (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z))) | |
| cost-diff | 0 | (*.f64 (expm1.f64 z) y) | |
| cost-diff | 0 | #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) | |
| cost-diff | 0 | (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t) | |
| cost-diff | 0 | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 334 |
| 0 | 57 | 334 |
| 1 | 89 | 334 |
| 2 | 153 | 300 |
| 3 | 253 | 300 |
| 4 | 399 | 300 |
| 5 | 624 | 300 |
| 6 | 1050 | 300 |
| 7 | 1911 | 300 |
| 8 | 2533 | 300 |
| 9 | 3621 | 300 |
| 10 | 4273 | 300 |
| 11 | 4539 | 300 |
| 12 | 4638 | 300 |
| 13 | 4691 | 300 |
| 14 | 4717 | 300 |
| 15 | 4724 | 300 |
| 16 | 4826 | 300 |
| 17 | 4868 | 300 |
| 18 | 4868 | 300 |
| 0 | 4868 | 278 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t)) |
x |
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t) |
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) |
(*.f64 (expm1.f64 z) y) |
(expm1.f64 z) |
z |
y |
t |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z))) |
x |
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z)) |
(*.f64 (/.f64 y t) z) |
(/.f64 y t) |
y |
t |
z |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t)) |
x |
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t) |
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) |
#s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
t |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64)))) t)) |
x |
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64)))) t) |
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64)))) |
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64)) |
(fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) |
(*.f64 z y) |
z |
y |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
t |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))) t)) |
x |
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))) t) |
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))) |
#s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y)) |
(*.f64 (expm1.f64 z) y) |
(expm1.f64 z) |
z |
y |
t |
| Outputs |
|---|
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t)) |
x |
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t) |
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) |
(*.f64 (expm1.f64 z) y) |
(expm1.f64 z) |
z |
y |
t |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z))) |
x |
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z)) |
(*.f64 (/.f64 y t) z) |
(/.f64 y t) |
y |
t |
z |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t)) |
x |
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t) |
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) |
#s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
t |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64)))) t)) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z #s(literal 1 binary64)))) t)) |
x |
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64)))) t) |
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z #s(literal 1 binary64)))) t) |
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64)))) |
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z #s(literal 1 binary64)))) |
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64))) |
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z #s(literal 1 binary64)) |
(fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) |
(*.f64 z y) |
z |
y |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
t |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))) t)) |
x |
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))) t) |
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))) |
#s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y)) |
(*.f64 (expm1.f64 z) y) |
(expm1.f64 z) |
z |
y |
t |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.00390625 | (*.f64 (expm1.f64 z) y) | |
| accuracy | 4.537923498649758 | (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))) t) | |
| accuracy | 35.91433548841257 | (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))) | |
| accuracy | 51.359957688238595 | #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y)) | |
| accuracy | 0.04296875 | (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64)) | |
| accuracy | 4.537923498649758 | (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64)))) t) | |
| accuracy | 15.076630767738823 | #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64))) | |
| accuracy | 35.91433548841257 | (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64)))) | |
| accuracy | 0.00390625 | (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t)) | |
| accuracy | 4.537923498649758 | (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t) | |
| accuracy | 11.275696323139838 | #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64)) | |
| accuracy | 35.91433548841257 | (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) | |
| accuracy | 0 | (/.f64 y t) | |
| accuracy | 0.00390625 | (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z))) | |
| accuracy | 4.852445902900396 | (*.f64 (/.f64 y t) z) | |
| accuracy | 21.80886600587082 | #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z)) | |
| accuracy | 0.00390625 | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t)) | |
| accuracy | 0.00390625 | (*.f64 (expm1.f64 z) y) | |
| accuracy | 4.537923498649758 | (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t) | |
| accuracy | 11.236475254741237 | #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) |
| 84.0ms | 163× | 1 | valid |
| 79.0ms | 67× | 2 | valid |
| 5.0ms | 26× | 0 | valid |
Compiled 586 to 61 computations (89.6% saved)
ival-log: 56.0ms (42.2% of total)ival-exp: 24.0ms (18.1% of total)adjust: 21.0ms (15.8% of total)ival-mult: 11.0ms (8.3% of total)ival-sub: 6.0ms (4.5% of total)ival-div: 6.0ms (4.5% of total)ival-add: 6.0ms (4.5% of total)ival-expm1: 2.0ms (1.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t)) |
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t) |
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) |
(*.f64 (expm1.f64 z) y) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z))) |
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z)) |
(*.f64 (/.f64 y t) z) |
(/.f64 y t) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t)) |
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t) |
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) |
#s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64)) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64)))) t)) |
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64)))) t) |
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64)))) |
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64))) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))) t)) |
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))) t) |
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))) |
#s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y)) |
(fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64)) |
| Outputs |
|---|
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
x |
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x))))) |
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) |
(+ x (* y (- (/ 1 t) (/ (exp z) t)))) |
(+ x (* y (- (+ (* 1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ 1 t)) (/ (exp z) t)))) |
(+ x (* y (- (+ (* y (- (* -1/3 (/ (* y (pow (- (exp z) 1) 3)) t)) (* -1/2 (/ (pow (- (exp z) 1) 2) t)))) (/ 1 t)) (/ (exp z) t)))) |
(/ (* y (- (exp z) 1)) t) |
(* y (- (+ (* -1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ (exp z) t)) (/ 1 t))) |
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) t)) (* 1/3 (/ (* y (pow (- (exp z) 1) 3)) t)))) (/ (exp z) t)) (/ 1 t))) |
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) t)) (* y (+ (* -1/4 (/ (* y (pow (- (exp z) 1) 4)) t)) (* 1/3 (/ (pow (- (exp z) 1) 3) t)))))) (/ (exp z) t)) (/ 1 t))) |
(* y (- (exp z) 1)) |
(* y (- (+ (exp z) (* -1/2 (* y (pow (- (exp z) 1) 2)))) 1)) |
(* y (- (+ (exp z) (* y (+ (* -1/2 (pow (- (exp z) 1) 2)) (* 1/3 (* y (pow (- (exp z) 1) 3)))))) 1)) |
(* y (- (+ (exp z) (* y (+ (* -1/2 (pow (- (exp z) 1) 2)) (* y (+ (* -1/4 (* y (pow (- (exp z) 1) 4))) (* 1/3 (pow (- (exp z) 1) 3))))))) 1)) |
(/ (* y z) t) |
(/ y t) |
1 |
(+ 1 (* y (- (exp z) 1))) |
(+ 1 (* y (* z (+ 1 (* 1/2 z))))) |
(- x (+ (* -1 (/ (log (/ 1 y)) t)) (/ (log (- (exp z) 1)) t))) |
(- x (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t)))) |
(- (+ x (/ 1/2 (* t (* (pow y 2) (pow (- (exp z) 1) 2))))) (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t)))) |
(- (+ x (* 1/2 (/ 1 (* t (* (pow y 2) (pow (- (exp z) 1) 2)))))) (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (+ (* 1/3 (/ 1 (* t (* (pow y 3) (pow (- (exp z) 1) 3))))) (/ (log (- (exp z) 1)) t))))) |
(/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t) |
(+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t))) |
(- (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t))) (/ 1/2 (* t (* (pow y 2) (pow (- (exp z) 1) 2))))) |
(- (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (+ (* 1/3 (/ 1 (* t (* (pow y 3) (pow (- (exp z) 1) 3))))) (/ (log (- (exp z) 1)) t)))) (* 1/2 (/ 1 (* t (* (pow y 2) (pow (- (exp z) 1) 2)))))) |
(+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) |
(+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp z) 1))))) |
(- (+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp z) 1))))) (/ 1/2 (* (pow y 2) (pow (- (exp z) 1) 2)))) |
(- (+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (+ (/ 1 (* y (- (exp z) 1))) (* 1/3 (/ 1 (* (pow y 3) (pow (- (exp z) 1) 3))))))) (* 1/2 (/ 1 (* (pow y 2) (pow (- (exp z) 1) 2))))) |
(* y (- (+ (exp z) (/ 1 y)) 1)) |
(* y (* z (+ 1 (* 1/2 z)))) |
(* y (+ (* z (+ 1 (* 1/2 z))) (/ 1 y))) |
(- x (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
(- (+ x (/ 1 (* t (* y (+ 1 (* -1 (exp z))))))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
(- (+ x (+ (/ 1/2 (* t (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (* t (* y (+ 1 (* -1 (exp z)))))))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
(- (+ x (* -1 (/ (- (* -1 (/ (+ (* 1/3 (/ 1 (* t (* y (pow (+ 1 (* -1 (exp z))) 3))))) (* 1/2 (/ 1 (* t (pow (+ 1 (* -1 (exp z))) 2))))) y)) (/ 1 (* t (+ 1 (* -1 (exp z)))))) y))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
(/ (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) t) |
(- (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t)) (/ 1 (* t (* y (+ 1 (* -1 (exp z))))))) |
(+ (* -1 (/ (log (/ -1 y)) t)) (+ (* -1 (/ (+ (* 1/2 (/ 1 (* t (* y (pow (+ 1 (* -1 (exp z))) 2))))) (/ 1 (* t (+ 1 (* -1 (exp z)))))) y)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
(+ (* -1 (/ (log (/ -1 y)) t)) (+ (* -1 (/ (+ (/ 1/3 (* t (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 3)))) (+ (/ 1/2 (* t (* y (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (* t (+ 1 (* -1 (exp z))))))) y)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
(+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) |
(- (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) (/ 1 (* y (+ 1 (* -1 (exp z)))))) |
(+ (log (+ 1 (* -1 (exp z)))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* 1/2 (/ 1 (* y (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (+ 1 (* -1 (exp z))))) y)))) |
(+ (log (+ 1 (* -1 (exp z)))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (/ 1/3 (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 3))) (+ (/ 1/2 (* y (pow (+ 1 (* -1 (exp z))) 2))) (/ 1 (+ 1 (* -1 (exp z)))))) y)))) |
(* -1 (* y (+ 1 (* -1 (exp z))))) |
(* -1 (* y (- (+ 1 (* -1 (exp z))) (/ 1 y)))) |
(* -1 (* y (* z (- (* -1/2 z) 1)))) |
(* -1 (* y (- (* z (- (* -1/2 z) 1)) (/ 1 y)))) |
(+ x (* -1 (/ (* y z) t))) |
(+ x (* z (- (* -1/2 (/ (* z (+ y (* -1 (pow y 2)))) t)) (/ y t)))) |
(+ x (* z (- (* z (- (* -1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) t)) (* 1/2 (/ (+ y (* -1 (pow y 2))) t)))) (/ y t)))) |
(* z (+ (* 1/2 (/ (* z (+ y (* -1 (pow y 2)))) t)) (/ y t))) |
(* z (+ (* z (+ (* 1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) t)) (* 1/2 (/ (+ y (* -1 (pow y 2))) t)))) (/ y t))) |
(* z (+ (* z (+ (* 1/2 (/ (+ y (* -1 (pow y 2))) t)) (* z (+ (* 1/24 (/ (* z (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3))))))) t)) (* 1/6 (/ (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))) t)))))) (/ y t))) |
(* y z) |
(* z (+ y (* 1/2 (* z (+ y (* -1 (pow y 2))))))) |
(* z (+ y (* z (+ (* 1/6 (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))) (* 1/2 (+ y (* -1 (pow y 2)))))))) |
(* z (+ y (* z (+ (* 1/2 (+ y (* -1 (pow y 2)))) (* z (+ (* 1/24 (* z (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3)))))))) (* 1/6 (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))))))))) |
(* z (+ y (* 1/2 (* y z)))) |
(* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y))))) |
(* z (+ y (* z (+ (* 1/2 y) (* z (+ (* 1/24 (* y z)) (* 1/6 y))))))) |
(+ 1 (* y z)) |
(+ 1 (* z (+ y (* 1/2 (* y z))))) |
(+ 1 (* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y)))))) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(log (- (+ 1 (* y (exp z))) y)) |
(- (+ 1 (* y (exp z))) y) |
(* 1/2 (* y (pow z 2))) |
(* (pow z 2) (+ (* 1/2 y) (/ y z))) |
(* (pow z 2) (+ (* 1/2 y) (+ (/ 1 (pow z 2)) (/ y z)))) |
(* (pow z 2) (+ (* -1 (/ (- (* -1 y) (/ 1 z)) z)) (* 1/2 y))) |
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) |
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 34.0ms | t | @ | -inf | ((- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* (- (exp z) 1) y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ y t) z) (/ y t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (+ (* (+ (* (* z y) 1/2) y) z) 1)) |
| 26.0ms | z | @ | 0 | ((- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* (- (exp z) 1) y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ y t) z) (/ y t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (+ (* (+ (* (* z y) 1/2) y) z) 1)) |
| 22.0ms | t | @ | inf | ((- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* (- (exp z) 1) y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ y t) z) (/ y t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (+ (* (+ (* (* z y) 1/2) y) z) 1)) |
| 12.0ms | z | @ | inf | ((- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* (- (exp z) 1) y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ y t) z) (/ y t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (+ (* (+ (* (* z y) 1/2) y) z) 1)) |
| 10.0ms | t | @ | 0 | ((- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* (- (exp z) 1) y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ y t) z) (/ y t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (+ (* (+ (* (* z y) 1/2) y) z) 1)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 372 | 1722 |
| 1 | 1138 | 1621 |
| 2 | 3509 | 1563 |
| 0 | 8243 | 1306 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
x |
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x))))) |
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) |
(+ x (* y (- (/ 1 t) (/ (exp z) t)))) |
(+ x (* y (- (+ (* 1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ 1 t)) (/ (exp z) t)))) |
(+ x (* y (- (+ (* y (- (* -1/3 (/ (* y (pow (- (exp z) 1) 3)) t)) (* -1/2 (/ (pow (- (exp z) 1) 2) t)))) (/ 1 t)) (/ (exp z) t)))) |
(/ (* y (- (exp z) 1)) t) |
(* y (- (+ (* -1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ (exp z) t)) (/ 1 t))) |
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) t)) (* 1/3 (/ (* y (pow (- (exp z) 1) 3)) t)))) (/ (exp z) t)) (/ 1 t))) |
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) t)) (* y (+ (* -1/4 (/ (* y (pow (- (exp z) 1) 4)) t)) (* 1/3 (/ (pow (- (exp z) 1) 3) t)))))) (/ (exp z) t)) (/ 1 t))) |
(* y (- (exp z) 1)) |
(* y (- (+ (exp z) (* -1/2 (* y (pow (- (exp z) 1) 2)))) 1)) |
(* y (- (+ (exp z) (* y (+ (* -1/2 (pow (- (exp z) 1) 2)) (* 1/3 (* y (pow (- (exp z) 1) 3)))))) 1)) |
(* y (- (+ (exp z) (* y (+ (* -1/2 (pow (- (exp z) 1) 2)) (* y (+ (* -1/4 (* y (pow (- (exp z) 1) 4))) (* 1/3 (pow (- (exp z) 1) 3))))))) 1)) |
(/ (* y z) t) |
(/ y t) |
1 |
(+ 1 (* y (- (exp z) 1))) |
(+ 1 (* y (* z (+ 1 (* 1/2 z))))) |
(- x (+ (* -1 (/ (log (/ 1 y)) t)) (/ (log (- (exp z) 1)) t))) |
(- x (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t)))) |
(- (+ x (/ 1/2 (* t (* (pow y 2) (pow (- (exp z) 1) 2))))) (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t)))) |
(- (+ x (* 1/2 (/ 1 (* t (* (pow y 2) (pow (- (exp z) 1) 2)))))) (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (+ (* 1/3 (/ 1 (* t (* (pow y 3) (pow (- (exp z) 1) 3))))) (/ (log (- (exp z) 1)) t))))) |
(/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t) |
(+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t))) |
(- (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t))) (/ 1/2 (* t (* (pow y 2) (pow (- (exp z) 1) 2))))) |
(- (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (+ (* 1/3 (/ 1 (* t (* (pow y 3) (pow (- (exp z) 1) 3))))) (/ (log (- (exp z) 1)) t)))) (* 1/2 (/ 1 (* t (* (pow y 2) (pow (- (exp z) 1) 2)))))) |
(+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) |
(+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp z) 1))))) |
(- (+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp z) 1))))) (/ 1/2 (* (pow y 2) (pow (- (exp z) 1) 2)))) |
(- (+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (+ (/ 1 (* y (- (exp z) 1))) (* 1/3 (/ 1 (* (pow y 3) (pow (- (exp z) 1) 3))))))) (* 1/2 (/ 1 (* (pow y 2) (pow (- (exp z) 1) 2))))) |
(* y (- (+ (exp z) (/ 1 y)) 1)) |
(* y (* z (+ 1 (* 1/2 z)))) |
(* y (+ (* z (+ 1 (* 1/2 z))) (/ 1 y))) |
(- x (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
(- (+ x (/ 1 (* t (* y (+ 1 (* -1 (exp z))))))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
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(/ (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) t) |
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(* -1 (* y (+ 1 (* -1 (exp z))))) |
(* -1 (* y (- (+ 1 (* -1 (exp z))) (/ 1 y)))) |
(* -1 (* y (* z (- (* -1/2 z) 1)))) |
(* -1 (* y (- (* z (- (* -1/2 z) 1)) (/ 1 y)))) |
(+ x (* -1 (/ (* y z) t))) |
(+ x (* z (- (* -1/2 (/ (* z (+ y (* -1 (pow y 2)))) t)) (/ y t)))) |
(+ x (* z (- (* z (- (* -1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) t)) (* 1/2 (/ (+ y (* -1 (pow y 2))) t)))) (/ y t)))) |
(* z (+ (* 1/2 (/ (* z (+ y (* -1 (pow y 2)))) t)) (/ y t))) |
(* z (+ (* z (+ (* 1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) t)) (* 1/2 (/ (+ y (* -1 (pow y 2))) t)))) (/ y t))) |
(* z (+ (* z (+ (* 1/2 (/ (+ y (* -1 (pow y 2))) t)) (* z (+ (* 1/24 (/ (* z (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3))))))) t)) (* 1/6 (/ (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))) t)))))) (/ y t))) |
(* y z) |
(* z (+ y (* 1/2 (* z (+ y (* -1 (pow y 2))))))) |
(* z (+ y (* z (+ (* 1/6 (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))) (* 1/2 (+ y (* -1 (pow y 2)))))))) |
(* z (+ y (* z (+ (* 1/2 (+ y (* -1 (pow y 2)))) (* z (+ (* 1/24 (* z (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3)))))))) (* 1/6 (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))))))))) |
(* z (+ y (* 1/2 (* y z)))) |
(* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y))))) |
(* z (+ y (* z (+ (* 1/2 y) (* z (+ (* 1/24 (* y z)) (* 1/6 y))))))) |
(+ 1 (* y z)) |
(+ 1 (* z (+ y (* 1/2 (* y z))))) |
(+ 1 (* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y)))))) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(log (- (+ 1 (* y (exp z))) y)) |
(- (+ 1 (* y (exp z))) y) |
(* 1/2 (* y (pow z 2))) |
(* (pow z 2) (+ (* 1/2 y) (/ y z))) |
(* (pow z 2) (+ (* 1/2 y) (+ (/ 1 (pow z 2)) (/ y z)))) |
(* (pow z 2) (+ (* -1 (/ (- (* -1 y) (/ 1 z)) z)) (* 1/2 y))) |
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) |
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) |
| Outputs |
|---|
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)) |
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
x |
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x))))) |
(fma.f64 (/.f64 x x) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)) x) |
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) |
(fma.f64 (/.f64 x x) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)) x) |
(+ x (* y (- (/ 1 t) (/ (exp z) t)))) |
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 (exp.f64 z) t)) y x) |
(+ x (* y (- (+ (* 1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ 1 t)) (/ (exp z) t)))) |
(fma.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) t) #s(literal 1/2 binary64)) y (-.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 (exp.f64 z) t))) y x) |
(+ x (* y (- (+ (* y (- (* -1/3 (/ (* y (pow (- (exp z) 1) 3)) t)) (* -1/2 (/ (pow (- (exp z) 1) 2) t)))) (/ 1 t)) (/ (exp z) t)))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) t) #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) y) t) #s(literal -1/3 binary64))) y (-.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 (exp.f64 z) t))) y x) |
(/ (* y (- (exp z) 1)) t) |
(*.f64 (/.f64 (expm1.f64 z) t) y) |
(* y (- (+ (* -1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ (exp z) t)) (/ 1 t))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) t) (/.f64 (expm1.f64 z) t)) y) |
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) t)) (* 1/3 (/ (* y (pow (- (exp z) 1) 3)) t)))) (/ (exp z) t)) (/ 1 t))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) t) #s(literal 1/3 binary64)) y (*.f64 (/.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) t) #s(literal -1/2 binary64))) y (/.f64 (expm1.f64 z) t)) y) |
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) t)) (* y (+ (* -1/4 (/ (* y (pow (- (exp z) 1) 4)) t)) (* 1/3 (/ (pow (- (exp z) 1) 3) t)))))) (/ (exp z) t)) (/ 1 t))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) t) #s(literal 1/3 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 4 binary64)) y) t) #s(literal -1/4 binary64))) y (*.f64 (/.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) t) #s(literal -1/2 binary64))) y (/.f64 (expm1.f64 z) t)) y) |
(* y (- (exp z) 1)) |
(*.f64 (expm1.f64 z) y) |
(* y (- (+ (exp z) (* -1/2 (* y (pow (- (exp z) 1) 2)))) 1)) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) y) (expm1.f64 z)) y) |
(* y (- (+ (exp z) (* y (+ (* -1/2 (pow (- (exp z) 1) 2)) (* 1/3 (* y (pow (- (exp z) 1) 3)))))) 1)) |
(*.f64 (fma.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 1/3 binary64) y) (expm1.f64 z) #s(literal -1/2 binary64))) y (expm1.f64 z)) y) |
(* y (- (+ (exp z) (* y (+ (* -1/2 (pow (- (exp z) 1) 2)) (* y (+ (* -1/4 (* y (pow (- (exp z) 1) 4))) (* 1/3 (pow (- (exp z) 1) 3))))))) 1)) |
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(/ (* y z) t) |
(*.f64 (/.f64 y t) z) |
(/ y t) |
(/.f64 y t) |
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#s(literal 1 binary64) |
(+ 1 (* y (- (exp z) 1))) |
(fma.f64 (expm1.f64 z) y #s(literal 1 binary64)) |
(+ 1 (* y (* z (+ 1 (* 1/2 z))))) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) y) z #s(literal 1 binary64)) |
(- x (+ (* -1 (/ (log (/ 1 y)) t)) (/ (log (- (exp z) 1)) t))) |
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(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 z) y)) (log.f64 y)) (log.f64 (expm1.f64 z))) |
(- (+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp z) 1))))) (/ 1/2 (* (pow y 2) (pow (- (exp z) 1) 2)))) |
(-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 z) y)) (log.f64 y)) (log.f64 (expm1.f64 z))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) y) y))) |
(- (+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (+ (/ 1 (* y (- (exp z) 1))) (* 1/3 (/ 1 (* (pow y 3) (pow (- (exp z) 1) 3))))))) (* 1/2 (/ 1 (* (pow y 2) (pow (- (exp z) 1) 2))))) |
(+.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) y) y)) (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (expm1.f64 z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 z) y))) (log.f64 y))) (log.f64 (expm1.f64 z))) |
(* y (- (+ (exp z) (/ 1 y)) 1)) |
(fma.f64 (expm1.f64 z) y #s(literal 1 binary64)) |
(* y (* z (+ 1 (* 1/2 z)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y) |
(* y (+ (* z (+ 1 (* 1/2 z))) (/ 1 y))) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) y) z #s(literal 1 binary64)) |
(- x (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
(-.f64 x (/.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 z))) (log.f64 (/.f64 #s(literal -1 binary64) y))) t)) |
(- (+ x (/ 1 (* t (* y (+ 1 (* -1 (exp z))))))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
(-.f64 (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) y) (neg.f64 (expm1.f64 z))) x) (/.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 z))) (log.f64 (/.f64 #s(literal -1 binary64) y))) t)) |
(- (+ x (+ (/ 1/2 (* t (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (* t (* y (+ 1 (* -1 (exp z)))))))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
(-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y y) t)) (pow.f64 (neg.f64 (expm1.f64 z)) #s(literal 2 binary64))) (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) y) (neg.f64 (expm1.f64 z))) x)) (/.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 z))) (log.f64 (/.f64 #s(literal -1 binary64) y))) t)) |
(- (+ x (* -1 (/ (- (* -1 (/ (+ (* 1/3 (/ 1 (* t (* y (pow (+ 1 (* -1 (exp z))) 3))))) (* 1/2 (/ 1 (* t (pow (+ 1 (* -1 (exp z))) 2))))) y)) (/ 1 (* t (+ 1 (* -1 (exp z)))))) y))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
(-.f64 (-.f64 x (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) t) (neg.f64 (expm1.f64 z))) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) t) (pow.f64 (neg.f64 (expm1.f64 z)) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 t y)) (pow.f64 (neg.f64 (expm1.f64 z)) #s(literal 3 binary64)))) y)) y)) (/.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 z))) (log.f64 (/.f64 #s(literal -1 binary64) y))) t)) |
(/ (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) t) |
(/.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 z))) (log.f64 (/.f64 #s(literal -1 binary64) y))) t) |
(- (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t)) (/ 1 (* t (* y (+ 1 (* -1 (exp z))))))) |
(+.f64 (/.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 z))) (log.f64 (/.f64 #s(literal -1 binary64) y))) t) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (expm1.f64 z) y) t))) |
(+ (* -1 (/ (log (/ -1 y)) t)) (+ (* -1 (/ (+ (* 1/2 (/ 1 (* t (* y (pow (+ 1 (* -1 (exp z))) 2))))) (/ 1 (* t (+ 1 (* -1 (exp z)))))) y)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
(-.f64 (/.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 z))) (log.f64 (/.f64 #s(literal -1 binary64) y))) t) (/.f64 (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) t) y) (pow.f64 (neg.f64 (expm1.f64 z)) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) t) (neg.f64 (expm1.f64 z)))) y)) |
(+ (* -1 (/ (log (/ -1 y)) t)) (+ (* -1 (/ (+ (/ 1/3 (* t (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 3)))) (+ (/ 1/2 (* t (* y (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (* t (+ 1 (* -1 (exp z))))))) y)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
(-.f64 (/.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 z))) (log.f64 (/.f64 #s(literal -1 binary64) y))) t) (/.f64 (+.f64 (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) t) y) (pow.f64 (neg.f64 (expm1.f64 z)) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) t) (neg.f64 (expm1.f64 z)))) (/.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 y y) t)) (pow.f64 (neg.f64 (expm1.f64 z)) #s(literal 3 binary64)))) y)) |
(+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) |
(-.f64 (log1p.f64 (neg.f64 (exp.f64 z))) (log.f64 (/.f64 #s(literal -1 binary64) y))) |
(- (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) (/ 1 (* y (+ 1 (* -1 (exp z)))))) |
(+.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 z))) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 z) y))) |
(+ (log (+ 1 (* -1 (exp z)))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* 1/2 (/ 1 (* y (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (+ 1 (* -1 (exp z))))) y)))) |
(-.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 z))) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) (pow.f64 (neg.f64 (expm1.f64 z)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 z)))) y)) |
(+ (log (+ 1 (* -1 (exp z)))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (/ 1/3 (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 3))) (+ (/ 1/2 (* y (pow (+ 1 (* -1 (exp z))) 2))) (/ 1 (+ 1 (* -1 (exp z)))))) y)))) |
(-.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 z))) (/.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) (pow.f64 (neg.f64 (expm1.f64 z)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 z)))) (/.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y y)) (pow.f64 (neg.f64 (expm1.f64 z)) #s(literal 3 binary64)))) y)) (log.f64 (/.f64 #s(literal -1 binary64) y))) |
(* -1 (* y (+ 1 (* -1 (exp z))))) |
(*.f64 (expm1.f64 z) y) |
(* -1 (* y (- (+ 1 (* -1 (exp z))) (/ 1 y)))) |
(fma.f64 (expm1.f64 z) y #s(literal 1 binary64)) |
(* -1 (* y (* z (- (* -1/2 z) 1)))) |
(*.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) z #s(literal -1 binary64))) (neg.f64 z)) |
(* -1 (* y (- (* z (- (* -1/2 z) 1)) (/ 1 y)))) |
(neg.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal -1 binary64)) z) y #s(literal -1 binary64))) |
(+ x (* -1 (/ (* y z) t))) |
(fma.f64 (neg.f64 z) (/.f64 y t) x) |
(+ x (* z (- (* -1/2 (/ (* z (+ y (* -1 (pow y 2)))) t)) (/ y t)))) |
(fma.f64 (fma.f64 (*.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal -1/2 binary64)) z (/.f64 (neg.f64 y) t)) z x) |
(+ x (* z (- (* z (- (* -1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) t)) (* 1/2 (/ (+ y (* -1 (pow y 2))) t)))) (/ y t)))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal -1/2 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (/.f64 z t)) #s(literal -1/6 binary64))) z (/.f64 (neg.f64 y) t)) z x) |
(* z (+ (* 1/2 (/ (* z (+ y (* -1 (pow y 2)))) t)) (/ y t))) |
(*.f64 (fma.f64 (*.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal 1/2 binary64)) z (/.f64 y t)) z) |
(* z (+ (* z (+ (* 1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) t)) (* 1/2 (/ (+ y (* -1 (pow y 2))) t)))) (/ y t))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (/.f64 z t)) (*.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal 1/2 binary64))) z (/.f64 y t)) z) |
(* z (+ (* z (+ (* 1/2 (/ (+ y (* -1 (pow y 2))) t)) (* z (+ (* 1/24 (/ (* z (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3))))))) t)) (* 1/6 (/ (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))) t)))))) (/ y t))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) t) #s(literal 1/6 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 12 binary64) #s(literal -7 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) y)) (/.f64 z t)) #s(literal 1/24 binary64))) z (*.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal 1/2 binary64))) z (/.f64 y t)) z) |
(* y z) |
(*.f64 z y) |
(* z (+ y (* 1/2 (* z (+ y (* -1 (pow y 2))))))) |
(*.f64 (fma.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) z y) z) |
(* z (+ y (* z (+ (* 1/6 (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))) (* 1/2 (+ y (* -1 (pow y 2)))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) z y) z) |
(* z (+ y (* z (+ (* 1/2 (+ y (* -1 (pow y 2)))) (* z (+ (* 1/24 (* z (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3)))))))) (* 1/6 (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) z) (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 12 binary64) #s(literal -7 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) y)) (*.f64 #s(literal 1/6 binary64) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y))) z (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) z y) z) |
(* z (+ y (* 1/2 (* y z)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y) |
(* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y))))) |
(*.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z y) z) |
(* z (+ y (* z (+ (* 1/2 y) (* z (+ (* 1/24 (* y z)) (* 1/6 y))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64))) z (*.f64 #s(literal 1/2 binary64) y)) z y) z) |
(+ 1 (* y z)) |
(fma.f64 z y #s(literal 1 binary64)) |
(+ 1 (* z (+ y (* 1/2 (* y z))))) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) y) z #s(literal 1 binary64)) |
(+ 1 (* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y)))))) |
(fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z y) z #s(literal 1 binary64)) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(log (- (+ 1 (* y (exp z))) y)) |
(log1p.f64 (*.f64 (expm1.f64 z) y)) |
(- (+ 1 (* y (exp z))) y) |
(fma.f64 (expm1.f64 z) y #s(literal 1 binary64)) |
(* 1/2 (* y (pow z 2))) |
(*.f64 (*.f64 (*.f64 z z) #s(literal 1/2 binary64)) y) |
(* (pow z 2) (+ (* 1/2 y) (/ y z))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 y z)) z) z) |
(* (pow z 2) (+ (* 1/2 y) (+ (/ 1 (pow z 2)) (/ y z)))) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 y z)) z) z #s(literal 1 binary64)) |
(* (pow z 2) (+ (* -1 (/ (- (* -1 y) (/ 1 z)) z)) (* 1/2 y))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (+.f64 y (/.f64 #s(literal 1 binary64) z)) z)) z) z) |
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 296 |
| 0 | 57 | 296 |
| 1 | 227 | 296 |
| 2 | 1813 | 296 |
| 0 | 8969 | 279 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t)) |
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t) |
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) |
(*.f64 (expm1.f64 z) y) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z))) |
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z)) |
(*.f64 (/.f64 y t) z) |
(/.f64 y t) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t)) |
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t) |
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) |
#s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64)) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64)))) t)) |
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64)))) t) |
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64)))) |
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64))) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))) t)) |
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))) t) |
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))) |
#s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y)) |
(fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64)) |
| Outputs |
|---|
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t) #s(literal 2 binary64))) (pow.f64 (+.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t) x) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t) #s(literal 3 binary64))) (pow.f64 (fma.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t) (+.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t) x) (*.f64 x x)) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (+.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t) x) (-.f64 (*.f64 x x) (pow.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t) (+.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t) x) (*.f64 x x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) (neg.f64 t)) x)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (+.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t) x)))) |
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(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))))) |
(neg.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))) (neg.f64 t))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 t)) (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))) (neg.f64 t))) |
(exp.f64 (*.f64 (log.f64 (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))))) #s(literal -1 binary64))) |
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))) |
#s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y)) |
(*.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z)) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z #s(literal -1 binary64)) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z)) (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z) #s(literal 2 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z #s(literal -1 binary64))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z #s(literal -1 binary64)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z #s(literal -1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z #s(literal -1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z #s(literal -1 binary64)) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z) #s(literal 2 binary64)) #s(literal 1 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z)) (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z) #s(literal 3 binary64)) #s(literal 1 binary64))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z #s(literal -1 binary64)) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z) #s(literal 2 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z)) (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z) #s(literal 3 binary64)) #s(literal 1 binary64)))) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) (*.f64 z #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z #s(literal 1 binary64)) |
(fma.f64 z (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z))) (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z #s(literal -1 binary64))) (pow.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z #s(literal -1 binary64)) #s(literal -1 binary64))) |
(+.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z)) |
Compiled 15 949 to 1 621 computations (89.8% saved)
20 alts after pruning (16 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 413 | 10 | 423 |
| Fresh | 2 | 6 | 8 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 0 | 0 |
| Total | 416 | 20 | 436 |
| Status | Accuracy | Program |
|---|---|---|
| 84.8% | (fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) x) | |
| 34.4% | (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) #s(literal 3 binary64))) (fma.f64 (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) (*.f64 x x))) | |
| 74.1% | (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t)) | |
| ✓ | 34.9% | (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))) t)) |
| ▶ | 20.7% | (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* (* z y) 1/2) y) z) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y)))) t)) |
| 20.6% | (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (* (- (exp z) 1) y) (*.f64 (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64))) z (*.f64 #s(literal 1/2 binary64) y)) z y) z)))) t)) | |
| 22.7% | (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (* (- (exp z) 1) y) (*.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z y) z)))) t)) | |
| ✓ | 76.2% | (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t)) |
| 63.0% | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) z y) z)) t)) | |
| ✓ | 89.5% | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t)) |
| 80.3% | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) | |
| ▶ | 71.6% | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y))) t)) |
| 65.6% | (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z #s(literal 1 binary64))))))) | |
| 78.5% | (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 z (/.f64 t y)))) | |
| 80.3% | (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 z y))))) | |
| ▶ | 88.9% | (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))) |
| ✓ | 77.7% | (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z))) |
| ▶ | 79.0% | (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 y (/.f64 z t)))) |
| 79.0% | (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 y (*.f64 (pow.f64 t #s(literal -1 binary64)) z)))) | |
| ▶ | 25.4% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t))) |
Compiled 854 to 631 computations (26.1% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (expm1.f64 z) y) | |
| cost-diff | 0 | (log1p.f64 (*.f64 (expm1.f64 z) y)) | |
| cost-diff | 0 | (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)) | |
| cost-diff | 0 | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t))) | |
| cost-diff | 0 | #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* (* z y) 1/2) y) z) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y))) | |
| cost-diff | 0 | (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* (* z y) 1/2) y) z) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y)))) | |
| cost-diff | 0 | (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* (* z y) 1/2) y) z) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y)))) t) | |
| cost-diff | 0 | (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* (* z y) 1/2) y) z) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y)))) t)) | |
| cost-diff | 0 | #s(approx (* (- (exp z) 1) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y)) | |
| cost-diff | 0 | #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y))) | |
| cost-diff | 0 | (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y))) t) | |
| cost-diff | 0 | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y))) t)) | |
| cost-diff | 0 | (/.f64 z t) | |
| cost-diff | 0 | (*.f64 y (/.f64 z t)) | |
| cost-diff | 0 | #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 y (/.f64 z t))) | |
| cost-diff | 0 | (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 y (/.f64 z t)))) | |
| cost-diff | 0 | (/.f64 (expm1.f64 z) t) | |
| cost-diff | 0 | (*.f64 (/.f64 (expm1.f64 z) t) y) | |
| cost-diff | 0 | #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) | |
| cost-diff | 0 | (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 429 |
| 0 | 67 | 429 |
| 1 | 114 | 429 |
| 2 | 197 | 384 |
| 3 | 357 | 384 |
| 4 | 558 | 384 |
| 5 | 872 | 384 |
| 6 | 1571 | 384 |
| 7 | 2679 | 384 |
| 8 | 3702 | 384 |
| 9 | 4238 | 384 |
| 10 | 4503 | 384 |
| 11 | 4592 | 384 |
| 12 | 4631 | 384 |
| 13 | 4843 | 384 |
| 14 | 4984 | 384 |
| 15 | 5017 | 384 |
| 16 | 5056 | 384 |
| 17 | 5226 | 384 |
| 18 | 5226 | 384 |
| 19 | 5226 | 384 |
| 20 | 5230 | 384 |
| 0 | 5230 | 375 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))) |
x |
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) |
(*.f64 (/.f64 (expm1.f64 z) t) y) |
(/.f64 (expm1.f64 z) t) |
(expm1.f64 z) |
z |
t |
y |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 y (/.f64 z t)))) |
x |
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 y (/.f64 z t))) |
(*.f64 y (/.f64 z t)) |
y |
(/.f64 z t) |
z |
t |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y))) t)) |
x |
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y))) t) |
#s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y))) |
#s(approx (* (- (exp z) 1) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y)) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) |
(fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
z |
#s(literal 1 binary64) |
y |
t |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* (* z y) 1/2) y) z) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y)))) t)) |
x |
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* (* z y) 1/2) y) z) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y)))) t) |
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* (* z y) 1/2) y) z) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y)))) |
#s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* (* z y) 1/2) y) z) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y))) |
#s(approx (+ (* (+ (* (* z y) 1/2) y) z) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y)) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) |
(fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
z |
#s(literal 1 binary64) |
y |
t |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t))) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)) |
(log1p.f64 (*.f64 (expm1.f64 z) y)) |
(*.f64 (expm1.f64 z) y) |
(expm1.f64 z) |
z |
y |
(neg.f64 t) |
t |
| Outputs |
|---|
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))) |
x |
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) |
(*.f64 (/.f64 (expm1.f64 z) t) y) |
(/.f64 (expm1.f64 z) t) |
(expm1.f64 z) |
z |
t |
y |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 y (/.f64 z t)))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 z t) y))) |
x |
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 y (/.f64 z t))) |
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 z t) y)) |
(*.f64 y (/.f64 z t)) |
(*.f64 (/.f64 z t) y) |
y |
(/.f64 z t) |
z |
t |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y))) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) y) z))) t)) |
x |
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y))) t) |
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) y) z))) t) |
#s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y))) |
#s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) y) z))) |
#s(approx (* (- (exp z) 1) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y)) |
#s(approx (* (- (exp z) 1) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) y) z)) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) y) z) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) |
(fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
z |
#s(literal 1 binary64) |
y |
t |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* (* z y) 1/2) y) z) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y)))) t)) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* (* z y) 1/2) y) z) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) y) z)))) t)) |
x |
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* (* z y) 1/2) y) z) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y)))) t) |
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* (* z y) 1/2) y) z) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) y) z)))) t) |
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* (* z y) 1/2) y) z) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y)))) |
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* (* z y) 1/2) y) z) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) y) z)))) |
#s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* (* z y) 1/2) y) z) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y))) |
#s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* (* z y) 1/2) y) z) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) y) z))) |
#s(approx (+ (* (+ (* (* z y) 1/2) y) z) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y)) |
#s(approx (+ (* (+ (* (* z y) 1/2) y) z) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) y) z)) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) y) z) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) |
(fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
z |
#s(literal 1 binary64) |
y |
t |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t))) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)) |
(log1p.f64 (*.f64 (expm1.f64 z) y)) |
(*.f64 (expm1.f64 z) y) |
(expm1.f64 z) |
z |
y |
(neg.f64 t) |
t |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.00390625 | (*.f64 (expm1.f64 z) y) | |
| accuracy | 0.24596199937298172 | (log1p.f64 (*.f64 (expm1.f64 z) y)) | |
| accuracy | 4.537923498649758 | (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)) | |
| accuracy | 47.58531934199364 | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t))) | |
| accuracy | 4.537923498649758 | (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* (* z y) 1/2) y) z) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y)))) t) | |
| accuracy | 15.076630767738823 | #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* (* z y) 1/2) y) z) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y))) | |
| accuracy | 35.91433548841257 | (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* (* z y) 1/2) y) z) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y)))) | |
| accuracy | 42.832031332811255 | #s(approx (+ (* (+ (* (* z y) 1/2) y) z) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y)) | |
| accuracy | 3.7763047193242962 | (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y) | |
| accuracy | 4.537923498649758 | (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y))) t) | |
| accuracy | 11.236475254741237 | #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y))) | |
| accuracy | 18.495742148322137 | #s(approx (* (- (exp z) 1) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y)) | |
| accuracy | 0 | (/.f64 z t) | |
| accuracy | 0.00390625 | (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 y (/.f64 z t)))) | |
| accuracy | 3.7681669519197962 | (*.f64 y (/.f64 z t)) | |
| accuracy | 21.80886600587082 | #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 y (/.f64 z t))) | |
| accuracy | 0.00390625 | (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))) | |
| accuracy | 0.0078125 | (/.f64 (expm1.f64 z) t) | |
| accuracy | 2.8352072734425566 | (*.f64 (/.f64 (expm1.f64 z) t) y) | |
| accuracy | 11.216286427279684 | #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) |
| 141.0ms | 67× | 2 | valid |
| 124.0ms | 163× | 1 | valid |
| 6.0ms | 26× | 0 | valid |
Compiled 715 to 81 computations (88.7% saved)
ival-mult: 47.0ms (25.5% of total)ival-log: 39.0ms (21.2% of total)ival-exp: 35.0ms (19% of total)ival-div: 16.0ms (8.7% of total)adjust: 15.0ms (8.1% of total)ival-expm1: 14.0ms (7.6% of total)ival-add: 7.0ms (3.8% of total)ival-sub: 6.0ms (3.3% of total)ival-log1p: 4.0ms (2.2% of total)ival-neg: 1.0ms (0.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))) |
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) |
(*.f64 (/.f64 (expm1.f64 z) t) y) |
(/.f64 (expm1.f64 z) t) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 y (/.f64 z t)))) |
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 y (/.f64 z t))) |
(*.f64 y (/.f64 z t)) |
(/.f64 z t) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y))) t)) |
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y))) t) |
#s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y))) |
#s(approx (* (- (exp z) 1) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y)) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* (* z y) 1/2) y) z) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y)))) t)) |
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* (* z y) 1/2) y) z) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y)))) t) |
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* (* z y) 1/2) y) z) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y)))) |
#s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* (* z y) 1/2) y) z) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t))) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)) |
(log1p.f64 (*.f64 (expm1.f64 z) y)) |
(*.f64 (expm1.f64 z) y) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y) |
#s(approx (+ (* (+ (* (* z y) 1/2) y) z) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y)) |
| Outputs |
|---|
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
x |
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x))))) |
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) |
(+ x (* y (- (/ 1 t) (/ (exp z) t)))) |
(+ x (* y (- (+ (* 1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ 1 t)) (/ (exp z) t)))) |
(+ x (* y (- (+ (* y (- (* -1/3 (/ (* y (pow (- (exp z) 1) 3)) t)) (* -1/2 (/ (pow (- (exp z) 1) 2) t)))) (/ 1 t)) (/ (exp z) t)))) |
(/ (* y (- (exp z) 1)) t) |
(* y (- (+ (* -1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ (exp z) t)) (/ 1 t))) |
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) t)) (* 1/3 (/ (* y (pow (- (exp z) 1) 3)) t)))) (/ (exp z) t)) (/ 1 t))) |
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) t)) (* y (+ (* -1/4 (/ (* y (pow (- (exp z) 1) 4)) t)) (* 1/3 (/ (pow (- (exp z) 1) 3) t)))))) (/ (exp z) t)) (/ 1 t))) |
(/ (* y z) t) |
(* y (- (exp z) 1)) |
(* y (- (+ (exp z) (* -1/2 (* y (pow (- (exp z) 1) 2)))) 1)) |
(* y (- (+ (exp z) (* y (+ (* -1/2 (pow (- (exp z) 1) 2)) (* 1/3 (* y (pow (- (exp z) 1) 3)))))) 1)) |
(* y (- (+ (exp z) (* y (+ (* -1/2 (pow (- (exp z) 1) 2)) (* y (+ (* -1/4 (* y (pow (- (exp z) 1) 4))) (* 1/3 (pow (- (exp z) 1) 3))))))) 1)) |
1 |
(+ 1 (* y (- (exp z) 1))) |
(* -1 (/ (* y (- (exp z) 1)) t)) |
(* y (+ (* -1 (/ (- (exp z) 1) t)) (* 1/2 (/ (* y (pow (- (exp z) 1) 2)) t)))) |
(* y (+ (* -1 (/ (- (exp z) 1) t)) (* y (+ (* -1/3 (/ (* y (pow (- (exp z) 1) 3)) t)) (* 1/2 (/ (pow (- (exp z) 1) 2) t)))))) |
(* y (+ (* -1 (/ (- (exp z) 1) t)) (* y (+ (* 1/2 (/ (pow (- (exp z) 1) 2) t)) (* y (+ (* -1/3 (/ (pow (- (exp z) 1) 3) t)) (* 1/4 (/ (* y (pow (- (exp z) 1) 4)) t)))))))) |
(* y (* z (+ 1 (* 1/2 z)))) |
(+ 1 (* y (* z (+ 1 (* 1/2 z))))) |
(- x (+ (* -1 (/ (log (/ 1 y)) t)) (/ (log (- (exp z) 1)) t))) |
(- x (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t)))) |
(- (+ x (/ 1/2 (* t (* (pow y 2) (pow (- (exp z) 1) 2))))) (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t)))) |
(- (+ x (* 1/2 (/ 1 (* t (* (pow y 2) (pow (- (exp z) 1) 2)))))) (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (+ (* 1/3 (/ 1 (* t (* (pow y 3) (pow (- (exp z) 1) 3))))) (/ (log (- (exp z) 1)) t))))) |
(/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t) |
(+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t))) |
(- (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t))) (/ 1/2 (* t (* (pow y 2) (pow (- (exp z) 1) 2))))) |
(- (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (+ (* 1/3 (/ 1 (* t (* (pow y 3) (pow (- (exp z) 1) 3))))) (/ (log (- (exp z) 1)) t)))) (* 1/2 (/ 1 (* t (* (pow y 2) (pow (- (exp z) 1) 2)))))) |
(+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) |
(+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp z) 1))))) |
(- (+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp z) 1))))) (/ 1/2 (* (pow y 2) (pow (- (exp z) 1) 2)))) |
(- (+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (+ (/ 1 (* y (- (exp z) 1))) (* 1/3 (/ 1 (* (pow y 3) (pow (- (exp z) 1) 3))))))) (* 1/2 (/ 1 (* (pow y 2) (pow (- (exp z) 1) 2))))) |
(* y (- (+ (exp z) (/ 1 y)) 1)) |
(* -1 (/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t)) |
(- (* -1 (/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t)) (/ 1 (* t (* y (- (exp z) 1))))) |
(- (+ (* -1 (/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t)) (/ 1/2 (* t (* (pow y 2) (pow (- (exp z) 1) 2))))) (/ 1 (* t (* y (- (exp z) 1))))) |
(- (+ (* -1 (/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t)) (* 1/2 (/ 1 (* t (* (pow y 2) (pow (- (exp z) 1) 2)))))) (+ (/ 1 (* t (* y (- (exp z) 1)))) (* 1/3 (/ 1 (* t (* (pow y 3) (pow (- (exp z) 1) 3))))))) |
(* y (+ (* z (+ 1 (* 1/2 z))) (/ 1 y))) |
(- x (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
(- (+ x (/ 1 (* t (* y (+ 1 (* -1 (exp z))))))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
(- (+ x (+ (/ 1/2 (* t (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (* t (* y (+ 1 (* -1 (exp z)))))))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
(- (+ x (* -1 (/ (- (* -1 (/ (+ (* 1/3 (/ 1 (* t (* y (pow (+ 1 (* -1 (exp z))) 3))))) (* 1/2 (/ 1 (* t (pow (+ 1 (* -1 (exp z))) 2))))) y)) (/ 1 (* t (+ 1 (* -1 (exp z)))))) y))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
(/ (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) t) |
(- (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t)) (/ 1 (* t (* y (+ 1 (* -1 (exp z))))))) |
(+ (* -1 (/ (log (/ -1 y)) t)) (+ (* -1 (/ (+ (* 1/2 (/ 1 (* t (* y (pow (+ 1 (* -1 (exp z))) 2))))) (/ 1 (* t (+ 1 (* -1 (exp z)))))) y)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
(+ (* -1 (/ (log (/ -1 y)) t)) (+ (* -1 (/ (+ (/ 1/3 (* t (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 3)))) (+ (/ 1/2 (* t (* y (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (* t (+ 1 (* -1 (exp z))))))) y)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
(+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) |
(- (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) (/ 1 (* y (+ 1 (* -1 (exp z)))))) |
(+ (log (+ 1 (* -1 (exp z)))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* 1/2 (/ 1 (* y (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (+ 1 (* -1 (exp z))))) y)))) |
(+ (log (+ 1 (* -1 (exp z)))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (/ 1/3 (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 3))) (+ (/ 1/2 (* y (pow (+ 1 (* -1 (exp z))) 2))) (/ 1 (+ 1 (* -1 (exp z)))))) y)))) |
(* -1 (* y (+ 1 (* -1 (exp z))))) |
(* -1 (* y (- (+ 1 (* -1 (exp z))) (/ 1 y)))) |
(* -1 (/ (+ (log (* -1 (- (exp z) 1))) (* -1 (log (/ -1 y)))) t)) |
(- (* -1 (/ (+ (log (* -1 (- (exp z) 1))) (* -1 (log (/ -1 y)))) t)) (/ 1 (* t (* y (- (exp z) 1))))) |
(+ (* -1 (/ (+ (log (* -1 (- (exp z) 1))) (* -1 (log (/ -1 y)))) t)) (* -1 (/ (- (/ 1 (* t (- (exp z) 1))) (* 1/2 (/ 1 (* t (* y (pow (- (exp z) 1) 2)))))) y))) |
(+ (* -1 (/ (+ (log (* -1 (- (exp z) 1))) (* -1 (log (/ -1 y)))) t)) (* -1 (/ (+ (* -1 (/ (- (* 1/2 (/ 1 (* t (pow (- (exp z) 1) 2)))) (* 1/3 (/ 1 (* t (* y (pow (- (exp z) 1) 3)))))) y)) (/ 1 (* t (- (exp z) 1)))) y))) |
(+ (log (* -1 (- (exp z) 1))) (* -1 (log (/ -1 y)))) |
(+ (log (* -1 (- (exp z) 1))) (+ (* -1 (log (/ -1 y))) (/ 1 (* y (- (exp z) 1))))) |
(+ (log (* -1 (- (exp z) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* 1/2 (/ 1 (* y (pow (- (exp z) 1) 2)))) (/ 1 (- (exp z) 1))) y)))) |
(+ (log (* -1 (- (exp z) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* y (pow (- (exp z) 1) 3)))) (* 1/2 (/ 1 (pow (- (exp z) 1) 2)))) y)) (/ 1 (- (exp z) 1))) y)))) |
(* -1 (* y (* z (- (* -1/2 z) 1)))) |
(* -1 (* y (- (* z (- (* -1/2 z) 1)) (/ 1 y)))) |
(+ x (* -1 (/ (* y z) t))) |
(+ x (* z (- (* -1/2 (/ (* z (+ y (* -1 (pow y 2)))) t)) (/ y t)))) |
(+ x (* z (- (* z (- (* -1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) t)) (* 1/2 (/ (+ y (* -1 (pow y 2))) t)))) (/ y t)))) |
(* z (+ (* 1/2 (/ (* z (+ y (* -1 (pow y 2)))) t)) (/ y t))) |
(* z (+ (* z (+ (* 1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) t)) (* 1/2 (/ (+ y (* -1 (pow y 2))) t)))) (/ y t))) |
(* z (+ (* z (+ (* 1/2 (/ (+ y (* -1 (pow y 2))) t)) (* z (+ (* 1/24 (/ (* z (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3))))))) t)) (* 1/6 (/ (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))) t)))))) (/ y t))) |
(* z (+ (* 1/2 (/ (* y z) t)) (/ y t))) |
(* z (+ (* z (+ (* 1/6 (/ (* y z) t)) (* 1/2 (/ y t)))) (/ y t))) |
(* z (+ (* z (+ (* 1/2 (/ y t)) (* z (+ (* 1/24 (/ (* y z) t)) (* 1/6 (/ y t)))))) (/ y t))) |
(/ z t) |
(* z (+ (* 1/2 (/ z t)) (/ 1 t))) |
(* z (+ (* z (+ (* 1/6 (/ z t)) (* 1/2 (/ 1 t)))) (/ 1 t))) |
(* z (+ (* z (+ (* z (+ (* 1/24 (/ z t)) (* 1/6 (/ 1 t)))) (* 1/2 (/ 1 t)))) (/ 1 t))) |
(* y z) |
(* z (+ y (* 1/2 (* z (+ y (* -1 (pow y 2))))))) |
(* z (+ y (* z (+ (* 1/6 (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))) (* 1/2 (+ y (* -1 (pow y 2)))))))) |
(* z (+ y (* z (+ (* 1/2 (+ y (* -1 (pow y 2)))) (* z (+ (* 1/24 (* z (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3)))))))) (* 1/6 (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))))))))) |
(* z (+ y (* 1/2 (* y z)))) |
(* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y))))) |
(* z (+ y (* z (+ (* 1/2 y) (* z (+ (* 1/24 (* y z)) (* 1/6 y))))))) |
(+ 1 (* y z)) |
(+ 1 (* z (+ y (* 1/2 (* y z))))) |
(+ 1 (* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y)))))) |
(* -1 (/ (* y z) t)) |
(* z (+ (* -1 (/ y t)) (* -1/2 (/ (* z (+ y (* -1 (pow y 2)))) t)))) |
(* z (+ (* -1 (/ y t)) (* z (+ (* -1/2 (/ (+ y (* -1 (pow y 2))) t)) (* -1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) t)))))) |
(* z (+ (* -1 (/ y t)) (* z (+ (* -1/2 (/ (+ y (* -1 (pow y 2))) t)) (* z (+ (* -1/6 (/ (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))) t)) (* -1/24 (/ (* z (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3))))))) t)))))))) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/ (- (exp z) 1) t) |
(log (- (+ 1 (* y (exp z))) y)) |
(- (+ 1 (* y (exp z))) y) |
(* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t)) |
(log (+ 1 (* y (- (exp z) 1)))) |
(* 1/2 (* y (pow z 2))) |
(* (pow z 2) (+ (* 1/2 y) (/ y z))) |
(* (pow z 2) (+ (* 1/2 y) (+ (/ 1 (pow z 2)) (/ y z)))) |
(* (pow z 2) (+ (* -1 (/ (- (* -1 y) (/ 1 z)) z)) (* 1/2 y))) |
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) |
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 96.0ms | t | @ | inf | ((- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (exp z) 1) t) y) (/ (- (exp z) 1) t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* y (/ z t)) (/ z t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* (- (exp z) 1) y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (log (+ 1 (* (- (exp z) 1) y))) (* (- (exp z) 1) y) (* (* (+ (* 1/2 z) 1) z) y) (+ (* (+ (* (* z y) 1/2) y) z) 1)) |
| 80.0ms | z | @ | -inf | ((- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (exp z) 1) t) y) (/ (- (exp z) 1) t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* y (/ z t)) (/ z t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* (- (exp z) 1) y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (log (+ 1 (* (- (exp z) 1) y))) (* (- (exp z) 1) y) (* (* (+ (* 1/2 z) 1) z) y) (+ (* (+ (* (* z y) 1/2) y) z) 1)) |
| 72.0ms | z | @ | inf | ((- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (exp z) 1) t) y) (/ (- (exp z) 1) t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* y (/ z t)) (/ z t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* (- (exp z) 1) y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (log (+ 1 (* (- (exp z) 1) y))) (* (- (exp z) 1) y) (* (* (+ (* 1/2 z) 1) z) y) (+ (* (+ (* (* z y) 1/2) y) z) 1)) |
| 68.0ms | x | @ | inf | ((- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (exp z) 1) t) y) (/ (- (exp z) 1) t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* y (/ z t)) (/ z t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* (- (exp z) 1) y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (log (+ 1 (* (- (exp z) 1) y))) (* (- (exp z) 1) y) (* (* (+ (* 1/2 z) 1) z) y) (+ (* (+ (* (* z y) 1/2) y) z) 1)) |
| 53.0ms | t | @ | -inf | ((- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (exp z) 1) t) y) (/ (- (exp z) 1) t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* y (/ z t)) (/ z t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* (- (exp z) 1) y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (log (+ 1 (* (- (exp z) 1) y))) (* (- (exp z) 1) y) (* (* (+ (* 1/2 z) 1) z) y) (+ (* (+ (* (* z y) 1/2) y) z) 1)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 503 | 2485 |
| 1 | 1606 | 2342 |
| 2 | 5012 | 2246 |
| 0 | 8430 | 1867 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
x |
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x))))) |
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) |
(+ x (* y (- (/ 1 t) (/ (exp z) t)))) |
(+ x (* y (- (+ (* 1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ 1 t)) (/ (exp z) t)))) |
(+ x (* y (- (+ (* y (- (* -1/3 (/ (* y (pow (- (exp z) 1) 3)) t)) (* -1/2 (/ (pow (- (exp z) 1) 2) t)))) (/ 1 t)) (/ (exp z) t)))) |
(/ (* y (- (exp z) 1)) t) |
(* y (- (+ (* -1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ (exp z) t)) (/ 1 t))) |
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) t)) (* 1/3 (/ (* y (pow (- (exp z) 1) 3)) t)))) (/ (exp z) t)) (/ 1 t))) |
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) t)) (* y (+ (* -1/4 (/ (* y (pow (- (exp z) 1) 4)) t)) (* 1/3 (/ (pow (- (exp z) 1) 3) t)))))) (/ (exp z) t)) (/ 1 t))) |
(/ (* y z) t) |
(* y (- (exp z) 1)) |
(* y (- (+ (exp z) (* -1/2 (* y (pow (- (exp z) 1) 2)))) 1)) |
(* y (- (+ (exp z) (* y (+ (* -1/2 (pow (- (exp z) 1) 2)) (* 1/3 (* y (pow (- (exp z) 1) 3)))))) 1)) |
(* y (- (+ (exp z) (* y (+ (* -1/2 (pow (- (exp z) 1) 2)) (* y (+ (* -1/4 (* y (pow (- (exp z) 1) 4))) (* 1/3 (pow (- (exp z) 1) 3))))))) 1)) |
1 |
(+ 1 (* y (- (exp z) 1))) |
(* -1 (/ (* y (- (exp z) 1)) t)) |
(* y (+ (* -1 (/ (- (exp z) 1) t)) (* 1/2 (/ (* y (pow (- (exp z) 1) 2)) t)))) |
(* y (+ (* -1 (/ (- (exp z) 1) t)) (* y (+ (* -1/3 (/ (* y (pow (- (exp z) 1) 3)) t)) (* 1/2 (/ (pow (- (exp z) 1) 2) t)))))) |
(* y (+ (* -1 (/ (- (exp z) 1) t)) (* y (+ (* 1/2 (/ (pow (- (exp z) 1) 2) t)) (* y (+ (* -1/3 (/ (pow (- (exp z) 1) 3) t)) (* 1/4 (/ (* y (pow (- (exp z) 1) 4)) t)))))))) |
(* y (* z (+ 1 (* 1/2 z)))) |
(+ 1 (* y (* z (+ 1 (* 1/2 z))))) |
(- x (+ (* -1 (/ (log (/ 1 y)) t)) (/ (log (- (exp z) 1)) t))) |
(- x (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t)))) |
(- (+ x (/ 1/2 (* t (* (pow y 2) (pow (- (exp z) 1) 2))))) (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t)))) |
(- (+ x (* 1/2 (/ 1 (* t (* (pow y 2) (pow (- (exp z) 1) 2)))))) (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (+ (* 1/3 (/ 1 (* t (* (pow y 3) (pow (- (exp z) 1) 3))))) (/ (log (- (exp z) 1)) t))))) |
(/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t) |
(+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t))) |
(- (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t))) (/ 1/2 (* t (* (pow y 2) (pow (- (exp z) 1) 2))))) |
(- (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (+ (* 1/3 (/ 1 (* t (* (pow y 3) (pow (- (exp z) 1) 3))))) (/ (log (- (exp z) 1)) t)))) (* 1/2 (/ 1 (* t (* (pow y 2) (pow (- (exp z) 1) 2)))))) |
(+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) |
(+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp z) 1))))) |
(- (+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp z) 1))))) (/ 1/2 (* (pow y 2) (pow (- (exp z) 1) 2)))) |
(- (+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (+ (/ 1 (* y (- (exp z) 1))) (* 1/3 (/ 1 (* (pow y 3) (pow (- (exp z) 1) 3))))))) (* 1/2 (/ 1 (* (pow y 2) (pow (- (exp z) 1) 2))))) |
(* y (- (+ (exp z) (/ 1 y)) 1)) |
(* -1 (/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t)) |
(- (* -1 (/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t)) (/ 1 (* t (* y (- (exp z) 1))))) |
(- (+ (* -1 (/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t)) (/ 1/2 (* t (* (pow y 2) (pow (- (exp z) 1) 2))))) (/ 1 (* t (* y (- (exp z) 1))))) |
(- (+ (* -1 (/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t)) (* 1/2 (/ 1 (* t (* (pow y 2) (pow (- (exp z) 1) 2)))))) (+ (/ 1 (* t (* y (- (exp z) 1)))) (* 1/3 (/ 1 (* t (* (pow y 3) (pow (- (exp z) 1) 3))))))) |
(* y (+ (* z (+ 1 (* 1/2 z))) (/ 1 y))) |
(- x (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
(- (+ x (/ 1 (* t (* y (+ 1 (* -1 (exp z))))))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
(- (+ x (+ (/ 1/2 (* t (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (* t (* y (+ 1 (* -1 (exp z)))))))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
(- (+ x (* -1 (/ (- (* -1 (/ (+ (* 1/3 (/ 1 (* t (* y (pow (+ 1 (* -1 (exp z))) 3))))) (* 1/2 (/ 1 (* t (pow (+ 1 (* -1 (exp z))) 2))))) y)) (/ 1 (* t (+ 1 (* -1 (exp z)))))) y))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
(/ (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) t) |
(- (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t)) (/ 1 (* t (* y (+ 1 (* -1 (exp z))))))) |
(+ (* -1 (/ (log (/ -1 y)) t)) (+ (* -1 (/ (+ (* 1/2 (/ 1 (* t (* y (pow (+ 1 (* -1 (exp z))) 2))))) (/ 1 (* t (+ 1 (* -1 (exp z)))))) y)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
(+ (* -1 (/ (log (/ -1 y)) t)) (+ (* -1 (/ (+ (/ 1/3 (* t (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 3)))) (+ (/ 1/2 (* t (* y (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (* t (+ 1 (* -1 (exp z))))))) y)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
(+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) |
(- (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) (/ 1 (* y (+ 1 (* -1 (exp z)))))) |
(+ (log (+ 1 (* -1 (exp z)))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* 1/2 (/ 1 (* y (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (+ 1 (* -1 (exp z))))) y)))) |
(+ (log (+ 1 (* -1 (exp z)))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (/ 1/3 (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 3))) (+ (/ 1/2 (* y (pow (+ 1 (* -1 (exp z))) 2))) (/ 1 (+ 1 (* -1 (exp z)))))) y)))) |
(* -1 (* y (+ 1 (* -1 (exp z))))) |
(* -1 (* y (- (+ 1 (* -1 (exp z))) (/ 1 y)))) |
(* -1 (/ (+ (log (* -1 (- (exp z) 1))) (* -1 (log (/ -1 y)))) t)) |
(- (* -1 (/ (+ (log (* -1 (- (exp z) 1))) (* -1 (log (/ -1 y)))) t)) (/ 1 (* t (* y (- (exp z) 1))))) |
(+ (* -1 (/ (+ (log (* -1 (- (exp z) 1))) (* -1 (log (/ -1 y)))) t)) (* -1 (/ (- (/ 1 (* t (- (exp z) 1))) (* 1/2 (/ 1 (* t (* y (pow (- (exp z) 1) 2)))))) y))) |
(+ (* -1 (/ (+ (log (* -1 (- (exp z) 1))) (* -1 (log (/ -1 y)))) t)) (* -1 (/ (+ (* -1 (/ (- (* 1/2 (/ 1 (* t (pow (- (exp z) 1) 2)))) (* 1/3 (/ 1 (* t (* y (pow (- (exp z) 1) 3)))))) y)) (/ 1 (* t (- (exp z) 1)))) y))) |
(+ (log (* -1 (- (exp z) 1))) (* -1 (log (/ -1 y)))) |
(+ (log (* -1 (- (exp z) 1))) (+ (* -1 (log (/ -1 y))) (/ 1 (* y (- (exp z) 1))))) |
(+ (log (* -1 (- (exp z) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* 1/2 (/ 1 (* y (pow (- (exp z) 1) 2)))) (/ 1 (- (exp z) 1))) y)))) |
(+ (log (* -1 (- (exp z) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* y (pow (- (exp z) 1) 3)))) (* 1/2 (/ 1 (pow (- (exp z) 1) 2)))) y)) (/ 1 (- (exp z) 1))) y)))) |
(* -1 (* y (* z (- (* -1/2 z) 1)))) |
(* -1 (* y (- (* z (- (* -1/2 z) 1)) (/ 1 y)))) |
(+ x (* -1 (/ (* y z) t))) |
(+ x (* z (- (* -1/2 (/ (* z (+ y (* -1 (pow y 2)))) t)) (/ y t)))) |
(+ x (* z (- (* z (- (* -1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) t)) (* 1/2 (/ (+ y (* -1 (pow y 2))) t)))) (/ y t)))) |
(* z (+ (* 1/2 (/ (* z (+ y (* -1 (pow y 2)))) t)) (/ y t))) |
(* z (+ (* z (+ (* 1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) t)) (* 1/2 (/ (+ y (* -1 (pow y 2))) t)))) (/ y t))) |
(* z (+ (* z (+ (* 1/2 (/ (+ y (* -1 (pow y 2))) t)) (* z (+ (* 1/24 (/ (* z (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3))))))) t)) (* 1/6 (/ (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))) t)))))) (/ y t))) |
(* z (+ (* 1/2 (/ (* y z) t)) (/ y t))) |
(* z (+ (* z (+ (* 1/6 (/ (* y z) t)) (* 1/2 (/ y t)))) (/ y t))) |
(* z (+ (* z (+ (* 1/2 (/ y t)) (* z (+ (* 1/24 (/ (* y z) t)) (* 1/6 (/ y t)))))) (/ y t))) |
(/ z t) |
(* z (+ (* 1/2 (/ z t)) (/ 1 t))) |
(* z (+ (* z (+ (* 1/6 (/ z t)) (* 1/2 (/ 1 t)))) (/ 1 t))) |
(* z (+ (* z (+ (* z (+ (* 1/24 (/ z t)) (* 1/6 (/ 1 t)))) (* 1/2 (/ 1 t)))) (/ 1 t))) |
(* y z) |
(* z (+ y (* 1/2 (* z (+ y (* -1 (pow y 2))))))) |
(* z (+ y (* z (+ (* 1/6 (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))) (* 1/2 (+ y (* -1 (pow y 2)))))))) |
(* z (+ y (* z (+ (* 1/2 (+ y (* -1 (pow y 2)))) (* z (+ (* 1/24 (* z (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3)))))))) (* 1/6 (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))))))))) |
(* z (+ y (* 1/2 (* y z)))) |
(* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y))))) |
(* z (+ y (* z (+ (* 1/2 y) (* z (+ (* 1/24 (* y z)) (* 1/6 y))))))) |
(+ 1 (* y z)) |
(+ 1 (* z (+ y (* 1/2 (* y z))))) |
(+ 1 (* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y)))))) |
(* -1 (/ (* y z) t)) |
(* z (+ (* -1 (/ y t)) (* -1/2 (/ (* z (+ y (* -1 (pow y 2)))) t)))) |
(* z (+ (* -1 (/ y t)) (* z (+ (* -1/2 (/ (+ y (* -1 (pow y 2))) t)) (* -1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) t)))))) |
(* z (+ (* -1 (/ y t)) (* z (+ (* -1/2 (/ (+ y (* -1 (pow y 2))) t)) (* z (+ (* -1/6 (/ (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))) t)) (* -1/24 (/ (* z (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3))))))) t)))))))) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/ (- (exp z) 1) t) |
(log (- (+ 1 (* y (exp z))) y)) |
(- (+ 1 (* y (exp z))) y) |
(* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t)) |
(log (+ 1 (* y (- (exp z) 1)))) |
(* 1/2 (* y (pow z 2))) |
(* (pow z 2) (+ (* 1/2 y) (/ y z))) |
(* (pow z 2) (+ (* 1/2 y) (+ (/ 1 (pow z 2)) (/ y z)))) |
(* (pow z 2) (+ (* -1 (/ (- (* -1 y) (/ 1 z)) z)) (* 1/2 y))) |
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) |
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) |
| Outputs |
|---|
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)) |
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
x |
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x))))) |
(fma.f64 (/.f64 x x) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)) x) |
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) |
(fma.f64 (/.f64 x x) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)) x) |
(+ x (* y (- (/ 1 t) (/ (exp z) t)))) |
(fma.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t) x) |
(+ x (* y (- (+ (* 1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ 1 t)) (/ (exp z) t)))) |
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(-.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 z))) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) y)) (/.f64 #s(literal 1 binary64) (expm1.f64 z))) y)) |
(+ (log (* -1 (- (exp z) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* y (pow (- (exp z) 1) 3)))) (* 1/2 (/ 1 (pow (- (exp z) 1) 2)))) y)) (/ 1 (- (exp z) 1))) y)))) |
(-.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 z))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 z)) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) y)) (/.f64 #s(literal 1/2 binary64) (pow.f64 (expm1.f64 z) #s(literal 2 binary64)))) y)) y)) (log.f64 (/.f64 #s(literal -1 binary64) y))) |
(* -1 (* y (* z (- (* -1/2 z) 1)))) |
(*.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) z #s(literal -1 binary64))) (neg.f64 z)) |
(* -1 (* y (- (* z (- (* -1/2 z) 1)) (/ 1 y)))) |
(neg.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal -1 binary64)) z) y #s(literal -1 binary64))) |
(+ x (* -1 (/ (* y z) t))) |
(fma.f64 (neg.f64 z) (/.f64 y t) x) |
(+ x (* z (- (* -1/2 (/ (* z (+ y (* -1 (pow y 2)))) t)) (/ y t)))) |
(fma.f64 (fma.f64 (*.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal -1/2 binary64)) z (/.f64 (neg.f64 y) t)) z x) |
(+ x (* z (- (* z (- (* -1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) t)) (* 1/2 (/ (+ y (* -1 (pow y 2))) t)))) (/ y t)))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) z) (/.f64 (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) t) (*.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal -1/2 binary64))) z (/.f64 (neg.f64 y) t)) z x) |
(* z (+ (* 1/2 (/ (* z (+ y (* -1 (pow y 2)))) t)) (/ y t))) |
(*.f64 (fma.f64 (*.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal 1/2 binary64)) z (/.f64 y t)) z) |
(* z (+ (* z (+ (* 1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) t)) (* 1/2 (/ (+ y (* -1 (pow y 2))) t)))) (/ y t))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (/.f64 z t)) (*.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal 1/2 binary64))) z (/.f64 y t)) z) |
(* z (+ (* z (+ (* 1/2 (/ (+ y (* -1 (pow y 2))) t)) (* z (+ (* 1/24 (/ (* z (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3))))))) t)) (* 1/6 (/ (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))) t)))))) (/ y t))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) t) #s(literal 1/6 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 12 binary64) #s(literal -7 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) y)) (/.f64 z t)) #s(literal 1/24 binary64))) z (*.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal 1/2 binary64))) z (/.f64 y t)) z) |
(* z (+ (* 1/2 (/ (* y z) t)) (/ y t))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) (/.f64 y t)) z) |
(* z (+ (* z (+ (* 1/6 (/ (* y z) t)) (* 1/2 (/ y t)))) (/ y t))) |
(*.f64 (fma.f64 (*.f64 (/.f64 y t) (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z (/.f64 y t)) z) |
(* z (+ (* z (+ (* 1/2 (/ y t)) (* z (+ (* 1/24 (/ (* y z) t)) (* 1/6 (/ y t)))))) (/ y t))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 y t) #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 z y) t) (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)))) z (/.f64 y t)) z) |
(/ z t) |
(/.f64 z t) |
(* z (+ (* 1/2 (/ z t)) (/ 1 t))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) (/.f64 z t)) |
(* z (+ (* z (+ (* 1/6 (/ z t)) (* 1/2 (/ 1 t)))) (/ 1 t))) |
(*.f64 (fma.f64 (/.f64 z t) (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) t)) z) |
(* z (+ (* z (+ (* z (+ (* 1/24 (/ z t)) (* 1/6 (/ 1 t)))) (* 1/2 (/ 1 t)))) (/ 1 t))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 z t) (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) t)) z (/.f64 #s(literal 1 binary64) t)) z) |
(* y z) |
(*.f64 z y) |
(* z (+ y (* 1/2 (* z (+ y (* -1 (pow y 2))))))) |
(*.f64 (fma.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) z y) z) |
(* z (+ y (* z (+ (* 1/6 (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))) (* 1/2 (+ y (* -1 (pow y 2)))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) z y) z) |
(* z (+ y (* z (+ (* 1/2 (+ y (* -1 (pow y 2)))) (* z (+ (* 1/24 (* z (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3)))))))) (* 1/6 (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) z) (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 12 binary64) #s(literal -7 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) y)) (*.f64 #s(literal 1/6 binary64) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y))) z (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) z y) z) |
(* z (+ y (* 1/2 (* y z)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y) |
(* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y))))) |
(*.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z y) z) |
(* z (+ y (* z (+ (* 1/2 y) (* z (+ (* 1/24 (* y z)) (* 1/6 y))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64))) z (*.f64 #s(literal 1/2 binary64) y)) z y) z) |
(+ 1 (* y z)) |
(fma.f64 z y #s(literal 1 binary64)) |
(+ 1 (* z (+ y (* 1/2 (* y z))))) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y #s(literal 1 binary64)) |
(+ 1 (* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y)))))) |
(fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z y) z #s(literal 1 binary64)) |
(* -1 (/ (* y z) t)) |
(*.f64 (neg.f64 z) (/.f64 y t)) |
(* z (+ (* -1 (/ y t)) (* -1/2 (/ (* z (+ y (* -1 (pow y 2)))) t)))) |
(*.f64 (fma.f64 (*.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal -1/2 binary64)) z (/.f64 (neg.f64 y) t)) z) |
(* z (+ (* -1 (/ y t)) (* z (+ (* -1/2 (/ (+ y (* -1 (pow y 2))) t)) (* -1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) t)))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) z) (/.f64 (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) t) (*.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal -1/2 binary64))) z (/.f64 (neg.f64 y) t)) z) |
(* z (+ (* -1 (/ y t)) (* z (+ (* -1/2 (/ (+ y (* -1 (pow y 2))) t)) (* z (+ (* -1/6 (/ (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))) t)) (* -1/24 (/ (* z (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3))))))) t)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 12 binary64) #s(literal -7 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) y)) (/.f64 z t)) (*.f64 (/.f64 (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) t) #s(literal -1/6 binary64))) z (*.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal -1/2 binary64))) z (/.f64 (neg.f64 y) t)) z) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/ (- (exp z) 1) t) |
(/.f64 (expm1.f64 z) t) |
(log (- (+ 1 (* y (exp z))) y)) |
(log1p.f64 (*.f64 (expm1.f64 z) y)) |
(- (+ 1 (* y (exp z))) y) |
(fma.f64 (expm1.f64 z) y #s(literal 1 binary64)) |
(* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t)) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)) |
(log (+ 1 (* y (- (exp z) 1)))) |
(log1p.f64 (*.f64 (expm1.f64 z) y)) |
(* 1/2 (* y (pow z 2))) |
(*.f64 (*.f64 (*.f64 z z) #s(literal 1/2 binary64)) y) |
(* (pow z 2) (+ (* 1/2 y) (/ y z))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 y z)) z) z) |
(* (pow z 2) (+ (* 1/2 y) (+ (/ 1 (pow z 2)) (/ y z)))) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 y z)) z) z #s(literal 1 binary64)) |
(* (pow z 2) (+ (* -1 (/ (- (* -1 y) (/ 1 z)) z)) (* 1/2 y))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (+.f64 y (/.f64 #s(literal 1 binary64) z)) z)) z) z) |
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 372 |
| 0 | 67 | 372 |
| 1 | 273 | 372 |
| 2 | 2153 | 372 |
| 0 | 9754 | 350 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))) |
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) |
(*.f64 (/.f64 (expm1.f64 z) t) y) |
(/.f64 (expm1.f64 z) t) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 y (/.f64 z t)))) |
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 y (/.f64 z t))) |
(*.f64 y (/.f64 z t)) |
(/.f64 z t) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y))) t)) |
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y))) t) |
#s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y))) |
#s(approx (* (- (exp z) 1) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y)) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* (* z y) 1/2) y) z) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y)))) t)) |
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* (* z y) 1/2) y) z) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y)))) t) |
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* (* z y) 1/2) y) z) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y)))) |
#s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* (* z y) 1/2) y) z) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t))) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)) |
(log1p.f64 (*.f64 (expm1.f64 z) y)) |
(*.f64 (expm1.f64 z) y) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y) |
#s(approx (+ (* (+ (* (* z y) 1/2) y) z) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y)) |
| Outputs |
|---|
(*.f64 (-.f64 (*.f64 x x) (pow.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) #s(literal 2 binary64))) (pow.f64 (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) x) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) #s(literal 3 binary64))) (pow.f64 (fma.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) x) (*.f64 x x)) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) x) (-.f64 (*.f64 x x) (pow.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) x) (*.f64 x x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 (neg.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))) x)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) x)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) x) (*.f64 x x))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) x)) (*.f64 (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) x) (pow.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) #s(literal 2 binary64)))) (*.f64 (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) x) (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) x))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) x) (*.f64 x x))) (*.f64 (fma.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) x) (*.f64 x x)) (pow.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) #s(literal 3 binary64)))) (*.f64 (fma.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) x) (*.f64 x x)) (fma.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) x) (*.f64 x x)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (neg.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)))))) |
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(neg.f64 (log.f64 (/.f64 (fma.f64 (*.f64 (expm1.f64 z) y) (-.f64 (*.f64 (expm1.f64 z) y) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (*.f64 (expm1.f64 z) y) #s(literal 3 binary64)) #s(literal 1 binary64))))) |
(-.f64 (log.f64 (-.f64 (pow.f64 (*.f64 (expm1.f64 z) y) #s(literal 2 binary64)) #s(literal 1 binary64))) (log.f64 (-.f64 (*.f64 (expm1.f64 z) y) #s(literal 1 binary64)))) |
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (expm1.f64 z) y) #s(literal 2 binary64))))) (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 z) y))))) |
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (expm1.f64 z) y) #s(literal 3 binary64)) #s(literal 1 binary64)))) (log.f64 (neg.f64 (fma.f64 (*.f64 (expm1.f64 z) y) (-.f64 (*.f64 (expm1.f64 z) y) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(-.f64 (log1p.f64 (neg.f64 (pow.f64 (*.f64 (expm1.f64 z) y) #s(literal 2 binary64)))) (log1p.f64 (*.f64 (neg.f64 (expm1.f64 z)) y))) |
(-.f64 (log1p.f64 (pow.f64 (*.f64 (expm1.f64 z) y) #s(literal 3 binary64))) (log.f64 (+.f64 (pow.f64 (*.f64 (expm1.f64 z) y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 z) y))))) |
(-.f64 (log1p.f64 (pow.f64 (*.f64 (expm1.f64 z) y) #s(literal 3 binary64))) (log1p.f64 (*.f64 (*.f64 (expm1.f64 z) y) (-.f64 (*.f64 (expm1.f64 z) y) #s(literal 1 binary64))))) |
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 z) y)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (expm1.f64 z) y) #s(literal 2 binary64)))))) |
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (fma.f64 (*.f64 (expm1.f64 z) y) (-.f64 (*.f64 (expm1.f64 z) y) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (*.f64 (expm1.f64 z) y) #s(literal 3 binary64)) #s(literal 1 binary64))))) |
(+.f64 (log1p.f64 (neg.f64 (pow.f64 (*.f64 (expm1.f64 z) y) #s(literal 2 binary64)))) (log.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 z) y)) #s(literal -1 binary64)))) |
(+.f64 (log1p.f64 (pow.f64 (*.f64 (expm1.f64 z) y) #s(literal 3 binary64))) (log.f64 (pow.f64 (fma.f64 (*.f64 (expm1.f64 z) y) (-.f64 (*.f64 (expm1.f64 z) y) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(log.f64 (fma.f64 (expm1.f64 z) y #s(literal 1 binary64))) |
(*.f64 (/.f64 y (+.f64 (exp.f64 z) #s(literal 1 binary64))) (/.f64 (expm1.f64 (*.f64 z #s(literal 2 binary64))) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (expm1.f64 z)) y) |
(*.f64 (*.f64 (expm1.f64 z) y) #s(literal 1 binary64)) |
(*.f64 (expm1.f64 z) (/.f64 y #s(literal 1 binary64))) |
(*.f64 (expm1.f64 z) y) |
(*.f64 y (expm1.f64 z)) |
(*.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 z) y)) |
(/.f64 (+.f64 (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 3 binary64)) (pow.f64 (*.f64 y #s(literal -1 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal -1 binary64))) (*.f64 (*.f64 (exp.f64 z) y) (*.f64 y #s(literal -1 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 3 binary64)) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)) (-.f64 (*.f64 y y) (*.f64 (*.f64 (exp.f64 z) y) (neg.f64 y))))) |
(/.f64 (neg.f64 (*.f64 (expm1.f64 (*.f64 z #s(literal 2 binary64))) y)) (neg.f64 (+.f64 (exp.f64 z) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (expm1.f64 (*.f64 z #s(literal 3 binary64))) y)) (neg.f64 (fma.f64 (exp.f64 z) (exp.f64 z) (+.f64 (exp.f64 z) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (*.f64 y (expm1.f64 (*.f64 z #s(literal 2 binary64))))) (neg.f64 (+.f64 (exp.f64 z) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 y (expm1.f64 (*.f64 z #s(literal 3 binary64))))) (neg.f64 (fma.f64 (exp.f64 z) (exp.f64 z) (+.f64 (exp.f64 z) #s(literal 1 binary64))))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 z #s(literal 2 binary64))) y) (+.f64 (exp.f64 z) #s(literal 1 binary64))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 z #s(literal 3 binary64))) y) (fma.f64 (exp.f64 z) (exp.f64 z) (+.f64 (exp.f64 z) #s(literal 1 binary64)))) |
(/.f64 (*.f64 y (expm1.f64 (*.f64 z #s(literal 2 binary64)))) (+.f64 (exp.f64 z) #s(literal 1 binary64))) |
(/.f64 (*.f64 y (expm1.f64 (*.f64 z #s(literal 3 binary64)))) (fma.f64 (exp.f64 z) (exp.f64 z) (+.f64 (exp.f64 z) #s(literal 1 binary64)))) |
(fma.f64 (exp.f64 z) y (*.f64 y #s(literal -1 binary64))) |
(fma.f64 (exp.f64 z) y (neg.f64 y)) |
(fma.f64 y (exp.f64 z) (*.f64 y #s(literal -1 binary64))) |
(fma.f64 y (exp.f64 z) (neg.f64 y)) |
(+.f64 (*.f64 (exp.f64 z) y) (*.f64 y #s(literal -1 binary64))) |
(+.f64 (*.f64 (exp.f64 z) y) (neg.f64 y)) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) y) z) |
(*.f64 (*.f64 y (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64))) z) |
(*.f64 (*.f64 z y) (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) (*.f64 z y)) |
(*.f64 z (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) y)) |
(*.f64 y (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 z z) #s(literal 1/4 binary64) #s(literal -1 binary64)) (*.f64 z y))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 z y))) (neg.f64 (fma.f64 (*.f64 z z) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) z))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 z z) #s(literal 1/4 binary64) #s(literal -1 binary64)) (*.f64 z y)) (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 z y)) (fma.f64 (*.f64 z z) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) z)))) |
#s(approx (+ (* (+ (* (* z y) 1/2) y) z) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y)) |
Compiled 21 931 to 2 257 computations (89.7% saved)
23 alts after pruning (17 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 528 | 11 | 539 |
| Fresh | 5 | 6 | 11 |
| Picked | 2 | 3 | 5 |
| Done | 1 | 3 | 4 |
| Total | 536 | 23 | 559 |
| Status | Accuracy | Program |
|---|---|---|
| 20.7% | (fma.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* (* z y) 1/2) y) z) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y)))) (/.f64 #s(literal -1 binary64) t) x) | |
| 71.6% | (fma.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y))) (/.f64 #s(literal -1 binary64) t) x) | |
| 34.4% | (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) #s(literal 3 binary64))) (fma.f64 (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) (*.f64 x x))) | |
| 74.1% | (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t)) | |
| ✓ | 34.9% | (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))) t)) |
| ✓ | 20.7% | (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* (* z y) 1/2) y) z) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y)))) t)) |
| 20.6% | (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (* (- (exp z) 1) y) (*.f64 (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64))) z (*.f64 #s(literal 1/2 binary64) y)) z y) z)))) t)) | |
| ▶ | 22.7% | (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (* (- (exp z) 1) y) (*.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z y) z)))) t)) |
| ✓ | 76.2% | (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t)) |
| ✓ | 89.5% | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t)) |
| ▶ | 80.3% | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) |
| 72.8% | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) (*.f64 z y)))) t)) | |
| ▶ | 59.9% | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) #s(approx (* (* (+ (* 1/2 z) 1) z) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 y z)) z) z)))) t)) |
| ▶ | 60.8% | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) #s(approx (* (* (+ (* 1/2 z) 1) z) y) (*.f64 (*.f64 (*.f64 z z) #s(literal 1/2 binary64)) y)))) t)) |
| 78.5% | (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 z (/.f64 t y)))) | |
| 79.4% | (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 y (/.f64 t z)))) | |
| ✓ | 79.0% | (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 y (/.f64 z t)))) |
| 79.0% | (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 y (/.f64 #s(literal 1 binary64) (/.f64 t z))))) | |
| 79.0% | (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 y (*.f64 (neg.f64 z) (/.f64 #s(literal -1 binary64) t))))) | |
| ✓ | 25.4% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t))) |
| 25.4% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (*.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 (expm1.f64 z) y)))) | |
| ▶ | 13.6% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 z) (/.f64 y t)))) |
| 18.2% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t)))) |
Compiled 1 102 to 794 computations (27.9% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (* (- (exp z) 1) y) (*.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z y) z))) | |
| cost-diff | 0 | (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (* (- (exp z) 1) y) (*.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z y) z)))) | |
| cost-diff | 0 | (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (* (- (exp z) 1) y) (*.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z y) z)))) t) | |
| cost-diff | 0 | (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (* (- (exp z) 1) y) (*.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z y) z)))) t)) | |
| cost-diff | 0 | #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) #s(approx (* (* (+ (* 1/2 z) 1) z) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 y z)) z) z)))) | |
| cost-diff | 0 | (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) #s(approx (* (* (+ (* 1/2 z) 1) z) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 y z)) z) z)))) t) | |
| cost-diff | 0 | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) #s(approx (* (* (+ (* 1/2 z) 1) z) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 y z)) z) z)))) t)) | |
| cost-diff | 704 | (*.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 y z)) z) | |
| cost-diff | 0 | #s(approx (* (- (exp z) 1) y) #s(approx (* (* (+ (* 1/2 z) 1) z) y) (*.f64 (*.f64 (*.f64 z z) #s(literal 1/2 binary64)) y))) | |
| cost-diff | 0 | #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) #s(approx (* (* (+ (* 1/2 z) 1) z) y) (*.f64 (*.f64 (*.f64 z z) #s(literal 1/2 binary64)) y)))) | |
| cost-diff | 0 | (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) #s(approx (* (* (+ (* 1/2 z) 1) z) y) (*.f64 (*.f64 (*.f64 z z) #s(literal 1/2 binary64)) y)))) t) | |
| cost-diff | 0 | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) #s(approx (* (* (+ (* 1/2 z) 1) z) y) (*.f64 (*.f64 (*.f64 z z) #s(literal 1/2 binary64)) y)))) t)) | |
| cost-diff | 0 | (neg.f64 z) | |
| cost-diff | 0 | (*.f64 (neg.f64 z) (/.f64 y t)) | |
| cost-diff | 0 | #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 z) (/.f64 y t))) | |
| cost-diff | 0 | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 z) (/.f64 y t)))) | |
| cost-diff | 0 | (*.f64 z y) | |
| cost-diff | 0 | #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) | |
| cost-diff | 0 | (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) | |
| cost-diff | 0 | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 59 | 654 |
| 0 | 86 | 654 |
| 1 | 149 | 654 |
| 2 | 284 | 654 |
| 3 | 527 | 654 |
| 4 | 934 | 647 |
| 5 | 1395 | 647 |
| 6 | 2439 | 647 |
| 7 | 5297 | 647 |
| 0 | 8065 | 544 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) |
x |
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) |
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) |
(*.f64 z y) |
z |
y |
t |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 z) (/.f64 y t)))) |
#s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 z) (/.f64 y t))) |
(*.f64 (neg.f64 z) (/.f64 y t)) |
(neg.f64 z) |
z |
(/.f64 y t) |
y |
t |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) #s(approx (* (* (+ (* 1/2 z) 1) z) y) (*.f64 (*.f64 (*.f64 z z) #s(literal 1/2 binary64)) y)))) t)) |
x |
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) #s(approx (* (* (+ (* 1/2 z) 1) z) y) (*.f64 (*.f64 (*.f64 z z) #s(literal 1/2 binary64)) y)))) t) |
#s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) #s(approx (* (* (+ (* 1/2 z) 1) z) y) (*.f64 (*.f64 (*.f64 z z) #s(literal 1/2 binary64)) y)))) |
#s(approx (* (- (exp z) 1) y) #s(approx (* (* (+ (* 1/2 z) 1) z) y) (*.f64 (*.f64 (*.f64 z z) #s(literal 1/2 binary64)) y))) |
#s(approx (* (* (+ (* 1/2 z) 1) z) y) (*.f64 (*.f64 (*.f64 z z) #s(literal 1/2 binary64)) y)) |
(*.f64 (*.f64 (*.f64 z z) #s(literal 1/2 binary64)) y) |
(*.f64 (*.f64 z z) #s(literal 1/2 binary64)) |
(*.f64 z z) |
z |
#s(literal 1/2 binary64) |
y |
t |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) #s(approx (* (* (+ (* 1/2 z) 1) z) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 y z)) z) z)))) t)) |
x |
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) #s(approx (* (* (+ (* 1/2 z) 1) z) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 y z)) z) z)))) t) |
#s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) #s(approx (* (* (+ (* 1/2 z) 1) z) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 y z)) z) z)))) |
#s(approx (* (- (exp z) 1) y) #s(approx (* (* (+ (* 1/2 z) 1) z) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 y z)) z) z))) |
#s(approx (* (* (+ (* 1/2 z) 1) z) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 y z)) z) z)) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 y z)) z) z) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 y z)) z) |
(fma.f64 #s(literal 1/2 binary64) y (/.f64 y z)) |
#s(literal 1/2 binary64) |
y |
(/.f64 y z) |
z |
t |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (* (- (exp z) 1) y) (*.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z y) z)))) t)) |
x |
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (* (- (exp z) 1) y) (*.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z y) z)))) t) |
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (* (- (exp z) 1) y) (*.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z y) z)))) |
#s(approx (+ (- 1 y) (* y (exp z))) #s(approx (* (- (exp z) 1) y) (*.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z y) z))) |
#s(approx (* (- (exp z) 1) y) (*.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z y) z)) |
(*.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z y) z) |
(fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z y) |
(*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) |
y |
(fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) |
#s(literal 1/6 binary64) |
z |
#s(literal 1/2 binary64) |
t |
| Outputs |
|---|
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) |
x |
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) |
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) |
(*.f64 z y) |
z |
y |
t |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 z) (/.f64 y t)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (/.f64 z t) (neg.f64 y)))) |
#s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 z) (/.f64 y t))) |
#s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (/.f64 z t) (neg.f64 y))) |
(*.f64 (neg.f64 z) (/.f64 y t)) |
(*.f64 (/.f64 z t) (neg.f64 y)) |
(neg.f64 z) |
z |
(/.f64 y t) |
y |
t |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) #s(approx (* (* (+ (* 1/2 z) 1) z) y) (*.f64 (*.f64 (*.f64 z z) #s(literal 1/2 binary64)) y)))) t)) |
x |
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) #s(approx (* (* (+ (* 1/2 z) 1) z) y) (*.f64 (*.f64 (*.f64 z z) #s(literal 1/2 binary64)) y)))) t) |
#s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) #s(approx (* (* (+ (* 1/2 z) 1) z) y) (*.f64 (*.f64 (*.f64 z z) #s(literal 1/2 binary64)) y)))) |
#s(approx (* (- (exp z) 1) y) #s(approx (* (* (+ (* 1/2 z) 1) z) y) (*.f64 (*.f64 (*.f64 z z) #s(literal 1/2 binary64)) y))) |
#s(approx (* (* (+ (* 1/2 z) 1) z) y) (*.f64 (*.f64 (*.f64 z z) #s(literal 1/2 binary64)) y)) |
(*.f64 (*.f64 (*.f64 z z) #s(literal 1/2 binary64)) y) |
(*.f64 (*.f64 z z) #s(literal 1/2 binary64)) |
(*.f64 z z) |
z |
#s(literal 1/2 binary64) |
y |
t |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) #s(approx (* (* (+ (* 1/2 z) 1) z) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 y z)) z) z)))) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) #s(approx (* (* (+ (* 1/2 z) 1) z) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) y) z)))) t)) |
x |
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) #s(approx (* (* (+ (* 1/2 z) 1) z) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 y z)) z) z)))) t) |
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) #s(approx (* (* (+ (* 1/2 z) 1) z) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) y) z)))) t) |
#s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) #s(approx (* (* (+ (* 1/2 z) 1) z) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 y z)) z) z)))) |
#s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) #s(approx (* (* (+ (* 1/2 z) 1) z) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) y) z)))) |
#s(approx (* (- (exp z) 1) y) #s(approx (* (* (+ (* 1/2 z) 1) z) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 y z)) z) z))) |
#s(approx (* (- (exp z) 1) y) #s(approx (* (* (+ (* 1/2 z) 1) z) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) y) z))) |
#s(approx (* (* (+ (* 1/2 z) 1) z) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 y z)) z) z)) |
#s(approx (* (* (+ (* 1/2 z) 1) z) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) y) z)) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 y z)) z) z) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) y) z) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 y z)) z) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) y) |
(fma.f64 #s(literal 1/2 binary64) y (/.f64 y z)) |
#s(literal 1/2 binary64) |
y |
(/.f64 y z) |
z |
t |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (* (- (exp z) 1) y) (*.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z y) z)))) t)) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (* (- (exp z) 1) y) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y) z y) z)))) t)) |
x |
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (* (- (exp z) 1) y) (*.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z y) z)))) t) |
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (* (- (exp z) 1) y) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y) z y) z)))) t) |
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (* (- (exp z) 1) y) (*.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z y) z)))) |
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (* (- (exp z) 1) y) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y) z y) z)))) |
#s(approx (+ (- 1 y) (* y (exp z))) #s(approx (* (- (exp z) 1) y) (*.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z y) z))) |
#s(approx (+ (- 1 y) (* y (exp z))) #s(approx (* (- (exp z) 1) y) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y) z y) z))) |
#s(approx (* (- (exp z) 1) y) (*.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z y) z)) |
#s(approx (* (- (exp z) 1) y) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y) z y) z)) |
(*.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z y) z) |
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y) z y) z) |
(fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z y) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y) z y) |
(*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y) |
y |
(fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) |
#s(literal 1/6 binary64) |
z |
#s(literal 1/2 binary64) |
t |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 4.537923498649758 | (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (* (- (exp z) 1) y) (*.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z y) z)))) t) | |
| accuracy | 17.938937853239494 | #s(approx (* (- (exp z) 1) y) (*.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z y) z)) | |
| accuracy | 35.91433548841257 | (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (* (- (exp z) 1) y) (*.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z y) z)))) | |
| accuracy | 51.359957688238595 | #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (* (- (exp z) 1) y) (*.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z y) z))) | |
| accuracy | 4.537923498649758 | (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) #s(approx (* (* (+ (* 1/2 z) 1) z) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 y z)) z) z)))) t) | |
| accuracy | 10.32941406775947 | (*.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 y z)) z) | |
| accuracy | 11.236475254741237 | #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) #s(approx (* (* (+ (* 1/2 z) 1) z) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 y z)) z) z)))) | |
| accuracy | 18.495742148322137 | #s(approx (* (- (exp z) 1) y) #s(approx (* (* (+ (* 1/2 z) 1) z) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 y z)) z) z))) | |
| accuracy | 8.775722709755879 | (*.f64 (*.f64 (*.f64 z z) #s(literal 1/2 binary64)) y) | |
| accuracy | 11.236475254741237 | #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) #s(approx (* (* (+ (* 1/2 z) 1) z) y) (*.f64 (*.f64 (*.f64 z z) #s(literal 1/2 binary64)) y)))) | |
| accuracy | 18.495742148322137 | #s(approx (* (- (exp z) 1) y) #s(approx (* (* (+ (* 1/2 z) 1) z) y) (*.f64 (*.f64 (*.f64 z z) #s(literal 1/2 binary64)) y))) | |
| accuracy | 30.449779069567793 | #s(approx (* (* (+ (* 1/2 z) 1) z) y) (*.f64 (*.f64 (*.f64 z z) #s(literal 1/2 binary64)) y)) | |
| accuracy | 0 | (neg.f64 z) | |
| accuracy | 4.852445902900396 | (*.f64 (neg.f64 z) (/.f64 y t)) | |
| accuracy | 21.80886600587082 | #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 z) (/.f64 y t))) | |
| accuracy | 47.58531934199364 | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 z) (/.f64 y t)))) | |
| accuracy | 0 | (*.f64 z y) | |
| accuracy | 0.00390625 | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) | |
| accuracy | 4.537923498649758 | (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) | |
| accuracy | 23.402582965242658 | #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) |
| 453.0ms | 163× | 1 | valid |
| 78.0ms | 67× | 2 | valid |
| 8.0ms | 26× | 0 | valid |
Compiled 975 to 103 computations (89.4% saved)
ival-mult: 308.0ms (66.1% of total)ival-log: 38.0ms (8.2% of total)ival-div: 29.0ms (6.2% of total)ival-add: 20.0ms (4.3% of total)ival-exp: 19.0ms (4.1% of total)adjust: 18.0ms (3.9% of total)ival-expm1: 14.0ms (3% of total)ival-sub: 8.0ms (1.7% of total)const: 5.0ms (1.1% of total)ival-log1p: 4.0ms (0.9% of total)ival-neg: 2.0ms (0.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) |
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) |
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) |
(*.f64 z y) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 z) (/.f64 y t)))) |
#s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 z) (/.f64 y t))) |
(*.f64 (neg.f64 z) (/.f64 y t)) |
(neg.f64 z) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) #s(approx (* (* (+ (* 1/2 z) 1) z) y) (*.f64 (*.f64 (*.f64 z z) #s(literal 1/2 binary64)) y)))) t)) |
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) #s(approx (* (* (+ (* 1/2 z) 1) z) y) (*.f64 (*.f64 (*.f64 z z) #s(literal 1/2 binary64)) y)))) t) |
#s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) #s(approx (* (* (+ (* 1/2 z) 1) z) y) (*.f64 (*.f64 (*.f64 z z) #s(literal 1/2 binary64)) y)))) |
#s(approx (* (- (exp z) 1) y) #s(approx (* (* (+ (* 1/2 z) 1) z) y) (*.f64 (*.f64 (*.f64 z z) #s(literal 1/2 binary64)) y))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 y z)) z) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) #s(approx (* (* (+ (* 1/2 z) 1) z) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 y z)) z) z)))) t)) |
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) #s(approx (* (* (+ (* 1/2 z) 1) z) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 y z)) z) z)))) t) |
#s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) #s(approx (* (* (+ (* 1/2 z) 1) z) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 y z)) z) z)))) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (* (- (exp z) 1) y) (*.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z y) z)))) t)) |
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (* (- (exp z) 1) y) (*.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z y) z)))) t) |
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (* (- (exp z) 1) y) (*.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z y) z)))) |
#s(approx (+ (- 1 y) (* y (exp z))) #s(approx (* (- (exp z) 1) y) (*.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z y) z))) |
#s(approx (* (* (+ (* 1/2 z) 1) z) y) (*.f64 (*.f64 (*.f64 z z) #s(literal 1/2 binary64)) y)) |
(*.f64 (*.f64 (*.f64 z z) #s(literal 1/2 binary64)) y) |
#s(approx (* (- (exp z) 1) y) #s(approx (* (* (+ (* 1/2 z) 1) z) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 y z)) z) z))) |
#s(approx (* (- (exp z) 1) y) (*.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z y) z)) |
| Outputs |
|---|
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
x |
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x))))) |
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) |
(+ x (* y (- (/ 1 t) (/ (exp z) t)))) |
(+ x (* y (- (+ (* 1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ 1 t)) (/ (exp z) t)))) |
(+ x (* y (- (+ (* y (- (* -1/3 (/ (* y (pow (- (exp z) 1) 3)) t)) (* -1/2 (/ (pow (- (exp z) 1) 2) t)))) (/ 1 t)) (/ (exp z) t)))) |
(/ (* y (- (exp z) 1)) t) |
(* y (- (+ (* -1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ (exp z) t)) (/ 1 t))) |
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) t)) (* 1/3 (/ (* y (pow (- (exp z) 1) 3)) t)))) (/ (exp z) t)) (/ 1 t))) |
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) t)) (* y (+ (* -1/4 (/ (* y (pow (- (exp z) 1) 4)) t)) (* 1/3 (/ (pow (- (exp z) 1) 3) t)))))) (/ (exp z) t)) (/ 1 t))) |
(* y (- (exp z) 1)) |
(* y (- (+ (exp z) (* -1/2 (* y (pow (- (exp z) 1) 2)))) 1)) |
(* y (- (+ (exp z) (* y (+ (* -1/2 (pow (- (exp z) 1) 2)) (* 1/3 (* y (pow (- (exp z) 1) 3)))))) 1)) |
(* y (- (+ (exp z) (* y (+ (* -1/2 (pow (- (exp z) 1) 2)) (* y (+ (* -1/4 (* y (pow (- (exp z) 1) 4))) (* 1/3 (pow (- (exp z) 1) 3))))))) 1)) |
(* y z) |
(* -1 (/ (* y (- (exp z) 1)) t)) |
(* y (+ (* -1 (/ (- (exp z) 1) t)) (* 1/2 (/ (* y (pow (- (exp z) 1) 2)) t)))) |
(* y (+ (* -1 (/ (- (exp z) 1) t)) (* y (+ (* -1/3 (/ (* y (pow (- (exp z) 1) 3)) t)) (* 1/2 (/ (pow (- (exp z) 1) 2) t)))))) |
(* y (+ (* -1 (/ (- (exp z) 1) t)) (* y (+ (* 1/2 (/ (pow (- (exp z) 1) 2) t)) (* y (+ (* -1/3 (/ (pow (- (exp z) 1) 3) t)) (* 1/4 (/ (* y (pow (- (exp z) 1) 4)) t)))))))) |
(* -1 (/ (* y z) t)) |
(* y (* z (+ 1/2 (/ 1 z)))) |
1 |
(+ 1 (* y (- (exp z) 1))) |
(* y (* z (+ 1 (* 1/2 z)))) |
(* 1/2 (* y (pow z 2))) |
(- x (+ (* -1 (/ (log (/ 1 y)) t)) (/ (log (- (exp z) 1)) t))) |
(- x (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t)))) |
(- (+ x (/ 1/2 (* t (* (pow y 2) (pow (- (exp z) 1) 2))))) (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t)))) |
(- (+ x (* 1/2 (/ 1 (* t (* (pow y 2) (pow (- (exp z) 1) 2)))))) (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (+ (* 1/3 (/ 1 (* t (* (pow y 3) (pow (- (exp z) 1) 3))))) (/ (log (- (exp z) 1)) t))))) |
(/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t) |
(+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t))) |
(- (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t))) (/ 1/2 (* t (* (pow y 2) (pow (- (exp z) 1) 2))))) |
(- (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (+ (* 1/3 (/ 1 (* t (* (pow y 3) (pow (- (exp z) 1) 3))))) (/ (log (- (exp z) 1)) t)))) (* 1/2 (/ 1 (* t (* (pow y 2) (pow (- (exp z) 1) 2)))))) |
(+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) |
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y |
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12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 53.0ms | z | @ | inf | ((- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* z y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (* (neg z) (/ y t)) (neg z) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* (- (exp z) 1) y) (* (+ (* 1/2 y) (/ y z)) z) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (* (* (+ (* 1/2 z) 1) z) y) (* (* (* z z) 1/2) y) (* (- (exp z) 1) y) (* (- (exp z) 1) y)) |
| 37.0ms | t | @ | -inf | ((- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* z y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (* (neg z) (/ y t)) (neg z) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* (- (exp z) 1) y) (* (+ (* 1/2 y) (/ y z)) z) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (* (* (+ (* 1/2 z) 1) z) y) (* (* (* z z) 1/2) y) (* (- (exp z) 1) y) (* (- (exp z) 1) y)) |
| 33.0ms | t | @ | inf | ((- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* z y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (* (neg z) (/ y t)) (neg z) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* (- (exp z) 1) y) (* (+ (* 1/2 y) (/ y z)) z) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (* (* (+ (* 1/2 z) 1) z) y) (* (* (* z z) 1/2) y) (* (- (exp z) 1) y) (* (- (exp z) 1) y)) |
| 26.0ms | z | @ | -inf | ((- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* z y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (* (neg z) (/ y t)) (neg z) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* (- (exp z) 1) y) (* (+ (* 1/2 y) (/ y z)) z) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (* (* (+ (* 1/2 z) 1) z) y) (* (* (* z z) 1/2) y) (* (- (exp z) 1) y) (* (- (exp z) 1) y)) |
| 15.0ms | t | @ | 0 | ((- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* z y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (* (neg z) (/ y t)) (neg z) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* (- (exp z) 1) y) (* (+ (* 1/2 y) (/ y z)) z) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (* (* (+ (* 1/2 z) 1) z) y) (* (* (* z z) 1/2) y) (* (- (exp z) 1) y) (* (- (exp z) 1) y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 435 | 2203 |
| 1 | 1374 | 2070 |
| 2 | 4283 | 2032 |
| 0 | 9209 | 1700 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
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x |
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y |
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(/ (log (- (+ 1 (* y (exp z))) y)) t) |
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(* 1/2 (* y z)) |
(* z (+ (* 1/2 y) (/ y z))) |
(- (+ 1 (* y (exp z))) y) |
(* (pow z 2) (+ (* 1/2 y) (/ y z))) |
(* -1 (* z (+ (* -1 (/ y z)) (* -1/2 y)))) |
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) |
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) |
| Outputs |
|---|
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)) |
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
x |
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x))))) |
(fma.f64 (/.f64 x x) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)) x) |
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) |
(fma.f64 (/.f64 x x) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)) x) |
(+ x (* y (- (/ 1 t) (/ (exp z) t)))) |
(fma.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t) x) |
(+ x (* y (- (+ (* 1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ 1 t)) (/ (exp z) t)))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) t) (/.f64 (expm1.f64 z) (neg.f64 t))) y x) |
(+ x (* y (- (+ (* y (- (* -1/3 (/ (* y (pow (- (exp z) 1) 3)) t)) (* -1/2 (/ (pow (- (exp z) 1) 2) t)))) (/ 1 t)) (/ (exp z) t)))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) t) #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) y) t) #s(literal -1/3 binary64))) y (/.f64 (expm1.f64 z) (neg.f64 t))) y x) |
(/ (* y (- (exp z) 1)) t) |
(/.f64 (*.f64 (expm1.f64 z) y) t) |
(* y (- (+ (* -1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ (exp z) t)) (/ 1 t))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) t) (/.f64 (expm1.f64 z) t)) y) |
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) t)) (* 1/3 (/ (* y (pow (- (exp z) 1) 3)) t)))) (/ (exp z) t)) (/ 1 t))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) t) #s(literal 1/3 binary64)) y (*.f64 (/.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) t) #s(literal -1/2 binary64))) y (/.f64 (expm1.f64 z) t)) y) |
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) t)) (* y (+ (* -1/4 (/ (* y (pow (- (exp z) 1) 4)) t)) (* 1/3 (/ (pow (- (exp z) 1) 3) t)))))) (/ (exp z) t)) (/ 1 t))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) t) #s(literal 1/3 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 4 binary64)) y) t) #s(literal -1/4 binary64))) y (*.f64 (/.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) t) #s(literal -1/2 binary64))) y (/.f64 (expm1.f64 z) t)) y) |
(* y (- (exp z) 1)) |
(*.f64 (expm1.f64 z) y) |
(* y (- (+ (exp z) (* -1/2 (* y (pow (- (exp z) 1) 2)))) 1)) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) y) (expm1.f64 z)) y) |
(* y (- (+ (exp z) (* y (+ (* -1/2 (pow (- (exp z) 1) 2)) (* 1/3 (* y (pow (- (exp z) 1) 3)))))) 1)) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (expm1.f64 z) #s(literal 3 binary64))) y (*.f64 #s(literal -1/2 binary64) (pow.f64 (expm1.f64 z) #s(literal 2 binary64)))) y (expm1.f64 z)) y) |
(* y (- (+ (exp z) (* y (+ (* -1/2 (pow (- (exp z) 1) 2)) (* y (+ (* -1/4 (* y (pow (- (exp z) 1) 4))) (* 1/3 (pow (- (exp z) 1) 3))))))) 1)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 4 binary64)) y) #s(literal -1/4 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 (expm1.f64 z) #s(literal 3 binary64)))) y (*.f64 #s(literal -1/2 binary64) (pow.f64 (expm1.f64 z) #s(literal 2 binary64)))) y (expm1.f64 z)) y) |
(* y z) |
(*.f64 z y) |
(* -1 (/ (* y (- (exp z) 1)) t)) |
(*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t)) |
(* y (+ (* -1 (/ (- (exp z) 1) t)) (* 1/2 (/ (* y (pow (- (exp z) 1) 2)) t)))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) t) (/.f64 (expm1.f64 z) (neg.f64 t))) y) |
(* y (+ (* -1 (/ (- (exp z) 1) t)) (* y (+ (* -1/3 (/ (* y (pow (- (exp z) 1) 3)) t)) (* 1/2 (/ (pow (- (exp z) 1) 2) t)))))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) t) #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) y) t) #s(literal -1/3 binary64))) y (/.f64 (expm1.f64 z) (neg.f64 t))) y) |
(* y (+ (* -1 (/ (- (exp z) 1) t)) (* y (+ (* 1/2 (/ (pow (- (exp z) 1) 2) t)) (* y (+ (* -1/3 (/ (pow (- (exp z) 1) 3) t)) (* 1/4 (/ (* y (pow (- (exp z) 1) 4)) t)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 4 binary64)) y) t) (*.f64 (/.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) t) #s(literal -1/3 binary64))) y (*.f64 (/.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) t) #s(literal 1/2 binary64))) y (/.f64 (expm1.f64 z) (neg.f64 t))) y) |
(* -1 (/ (* y z) t)) |
(*.f64 (/.f64 (neg.f64 z) t) y) |
(* y (* z (+ 1/2 (/ 1 z)))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) y) |
1 |
#s(literal 1 binary64) |
(+ 1 (* y (- (exp z) 1))) |
(fma.f64 (expm1.f64 z) y #s(literal 1 binary64)) |
(* y (* z (+ 1 (* 1/2 z)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) y) z) |
(* 1/2 (* y (pow z 2))) |
(*.f64 (*.f64 (*.f64 z z) #s(literal 1/2 binary64)) y) |
(- x (+ (* -1 (/ (log (/ 1 y)) t)) (/ (log (- (exp z) 1)) t))) |
(-.f64 x (/.f64 (+.f64 (log.f64 y) (log.f64 (expm1.f64 z))) t)) |
(- x (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t)))) |
(-.f64 (-.f64 x (/.f64 (+.f64 (log.f64 y) (log.f64 (expm1.f64 z))) t)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (expm1.f64 z) y) t))) |
(- (+ x (/ 1/2 (* t (* (pow y 2) (pow (- (exp z) 1) 2))))) (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t)))) |
(-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t y) y)) (pow.f64 (expm1.f64 z) #s(literal 2 binary64))) x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (expm1.f64 z) y) t)) (/.f64 (+.f64 (log.f64 y) (log.f64 (expm1.f64 z))) t))) |
(- (+ x (* 1/2 (/ 1 (* t (* (pow y 2) (pow (- (exp z) 1) 2)))))) (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (+ (* 1/3 (/ 1 (* t (* (pow y 3) (pow (- (exp z) 1) 3))))) (/ (log (- (exp z) 1)) t))))) |
(-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t y) y)) (pow.f64 (expm1.f64 z) #s(literal 2 binary64))) x) (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) t)) (pow.f64 (expm1.f64 z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (expm1.f64 z) y) t))) (/.f64 (+.f64 (log.f64 y) (log.f64 (expm1.f64 z))) t))) |
(/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t) |
(/.f64 (+.f64 (log.f64 y) (log.f64 (expm1.f64 z))) t) |
(+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t))) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (expm1.f64 z) y) t)) (/.f64 (+.f64 (log.f64 y) (log.f64 (expm1.f64 z))) t)) |
(- (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t))) (/ 1/2 (* t (* (pow y 2) (pow (- (exp z) 1) 2))))) |
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (expm1.f64 z) y) t)) (/.f64 (+.f64 (log.f64 y) (log.f64 (expm1.f64 z))) t)) (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t y) y)) (pow.f64 (expm1.f64 z) #s(literal 2 binary64)))) |
(- (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (+ (* 1/3 (/ 1 (* t (* (pow y 3) (pow (- (exp z) 1) 3))))) (/ (log (- (exp z) 1)) t)))) (* 1/2 (/ 1 (* t (* (pow y 2) (pow (- (exp z) 1) 2)))))) |
(-.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) t)) (pow.f64 (expm1.f64 z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (expm1.f64 z) y) t))) (/.f64 (+.f64 (log.f64 y) (log.f64 (expm1.f64 z))) t)) (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t y) y)) (pow.f64 (expm1.f64 z) #s(literal 2 binary64)))) |
(+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) |
(+.f64 (log.f64 y) (log.f64 (expm1.f64 z))) |
(+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp z) 1))))) |
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 z) y)) (log.f64 y)) (log.f64 (expm1.f64 z))) |
(- (+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp z) 1))))) (/ 1/2 (* (pow y 2) (pow (- (exp z) 1) 2)))) |
(-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 z) y)) (log.f64 y)) (log.f64 (expm1.f64 z))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) y) y))) |
(- (+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (+ (/ 1 (* y (- (exp z) 1))) (* 1/3 (/ 1 (* (pow y 3) (pow (- (exp z) 1) 3))))))) (* 1/2 (/ 1 (* (pow y 2) (pow (- (exp z) 1) 2))))) |
(+.f64 (-.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (expm1.f64 z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 z) y))) (log.f64 y)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) y) y))) (log.f64 (expm1.f64 z))) |
(* -1 (/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t)) |
(/.f64 (+.f64 (log.f64 y) (log.f64 (expm1.f64 z))) (neg.f64 t)) |
(- (* -1 (/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t)) (/ 1 (* t (* y (- (exp z) 1))))) |
(-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (expm1.f64 z) y) t)) (/.f64 (+.f64 (log.f64 y) (log.f64 (expm1.f64 z))) t)) |
(- (+ (* -1 (/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t)) (/ 1/2 (* t (* (pow y 2) (pow (- (exp z) 1) 2))))) (/ 1 (* t (* y (- (exp z) 1))))) |
(-.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t y) y)) (pow.f64 (expm1.f64 z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (expm1.f64 z) y) t))) (/.f64 (+.f64 (log.f64 y) (log.f64 (expm1.f64 z))) t)) |
(- (+ (* -1 (/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t)) (* 1/2 (/ 1 (* t (* (pow y 2) (pow (- (exp z) 1) 2)))))) (+ (/ 1 (* t (* y (- (exp z) 1)))) (* 1/3 (/ 1 (* t (* (pow y 3) (pow (- (exp z) 1) 3))))))) |
(-.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t y) y)) (pow.f64 (expm1.f64 z) #s(literal 2 binary64))) (/.f64 (+.f64 (log.f64 y) (log.f64 (expm1.f64 z))) t)) (+.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) t)) (pow.f64 (expm1.f64 z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (expm1.f64 z) y) t)))) |
(* y (- (+ (exp z) (/ 1 y)) 1)) |
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (expm1.f64 z)) y) |
(- x (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
(-.f64 x (/.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 z))) (log.f64 (/.f64 #s(literal -1 binary64) y))) t)) |
(- (+ x (/ 1 (* t (* y (+ 1 (* -1 (exp z))))))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
(-.f64 (-.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (expm1.f64 z) y) t))) (/.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 z))) (log.f64 (/.f64 #s(literal -1 binary64) y))) t)) |
(- (+ x (+ (/ 1/2 (* t (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (* t (* y (+ 1 (* -1 (exp z)))))))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
(-.f64 (+.f64 (-.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (expm1.f64 z) y) t))) (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t y) y)) (pow.f64 (expm1.f64 z) #s(literal 2 binary64)))) (/.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 z))) (log.f64 (/.f64 #s(literal -1 binary64) y))) t)) |
(- (+ x (* -1 (/ (- (* -1 (/ (+ (* 1/3 (/ 1 (* t (* y (pow (+ 1 (* -1 (exp z))) 3))))) (* 1/2 (/ 1 (* t (pow (+ 1 (* -1 (exp z))) 2))))) y)) (/ 1 (* t (+ 1 (* -1 (exp z)))))) y))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
(-.f64 (-.f64 x (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 z) t)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) t)) (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) y) t))) y)) y)) (/.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 z))) (log.f64 (/.f64 #s(literal -1 binary64) y))) t)) |
(/ (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) t) |
(/.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 z))) (log.f64 (/.f64 #s(literal -1 binary64) y))) t) |
(- (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t)) (/ 1 (* t (* y (+ 1 (* -1 (exp z))))))) |
(-.f64 (/.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 z))) (log.f64 (/.f64 #s(literal -1 binary64) y))) t) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (expm1.f64 z) y) t))) |
(+ (* -1 (/ (log (/ -1 y)) t)) (+ (* -1 (/ (+ (* 1/2 (/ 1 (* t (* y (pow (+ 1 (* -1 (exp z))) 2))))) (/ 1 (* t (+ 1 (* -1 (exp z)))))) y)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
(+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 z) t)) (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) y)) t)) y) (/.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 z))) (log.f64 (/.f64 #s(literal -1 binary64) y))) t)) |
(+ (* -1 (/ (log (/ -1 y)) t)) (+ (* -1 (/ (+ (/ 1/3 (* t (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 3)))) (+ (/ 1/2 (* t (* y (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (* t (+ 1 (* -1 (exp z))))))) y)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
(-.f64 (/.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 z))) (log.f64 (/.f64 #s(literal -1 binary64) y))) t) (/.f64 (+.f64 (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 z) t)) (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) y)) t)) (/.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 t y) y)) (pow.f64 (neg.f64 (expm1.f64 z)) #s(literal 3 binary64)))) y)) |
(+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) |
(-.f64 (log1p.f64 (neg.f64 (exp.f64 z))) (log.f64 (/.f64 #s(literal -1 binary64) y))) |
(- (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) (/ 1 (* y (+ 1 (* -1 (exp z)))))) |
(+.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 z))) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 z) y))) |
(+ (log (+ 1 (* -1 (exp z)))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* 1/2 (/ 1 (* y (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (+ 1 (* -1 (exp z))))) y)))) |
(-.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 z))) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) y)) (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 z)))) y)) |
(+ (log (+ 1 (* -1 (exp z)))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (/ 1/3 (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 3))) (+ (/ 1/2 (* y (pow (+ 1 (* -1 (exp z))) 2))) (/ 1 (+ 1 (* -1 (exp z)))))) y)))) |
(-.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 z))) (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) y)) (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 z)))) (/.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y y)) (pow.f64 (neg.f64 (expm1.f64 z)) #s(literal 3 binary64)))) y)) (log.f64 (/.f64 #s(literal -1 binary64) y))) |
(* -1 (/ (+ (log (* -1 (- (exp z) 1))) (* -1 (log (/ -1 y)))) t)) |
(/.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 z))) (log.f64 (/.f64 #s(literal -1 binary64) y))) (neg.f64 t)) |
(- (* -1 (/ (+ (log (* -1 (- (exp z) 1))) (* -1 (log (/ -1 y)))) t)) (/ 1 (* t (* y (- (exp z) 1))))) |
(-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (expm1.f64 z) y) t)) (/.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 z))) (log.f64 (/.f64 #s(literal -1 binary64) y))) t)) |
(+ (* -1 (/ (+ (log (* -1 (- (exp z) 1))) (* -1 (log (/ -1 y)))) t)) (* -1 (/ (- (/ 1 (* t (- (exp z) 1))) (* 1/2 (/ 1 (* t (* y (pow (- (exp z) 1) 2)))))) y))) |
(neg.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 z) t)) (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) y)) t)) y) (/.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 z))) (log.f64 (/.f64 #s(literal -1 binary64) y))) t))) |
(+ (* -1 (/ (+ (log (* -1 (- (exp z) 1))) (* -1 (log (/ -1 y)))) t)) (* -1 (/ (+ (* -1 (/ (- (* 1/2 (/ 1 (* t (pow (- (exp z) 1) 2)))) (* 1/3 (/ 1 (* t (* y (pow (- (exp z) 1) 3)))))) y)) (/ 1 (* t (- (exp z) 1)))) y))) |
(neg.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 z) t)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) t)) (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) y) t))) y)) y) (/.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 z))) (log.f64 (/.f64 #s(literal -1 binary64) y))) t))) |
(* -1 (* y (+ 1 (* -1 (exp z))))) |
(*.f64 (expm1.f64 z) y) |
(* -1 (* y (- (+ 1 (* -1 (exp z))) (/ 1 y)))) |
(fma.f64 (expm1.f64 z) y #s(literal 1 binary64)) |
(+ x (* -1 (/ (* y z) t))) |
(fma.f64 (/.f64 (neg.f64 z) t) y x) |
(+ x (* z (- (* -1/2 (/ (* z (+ y (* -1 (pow y 2)))) t)) (/ y t)))) |
(fma.f64 (fma.f64 (*.f64 z #s(literal -1/2 binary64)) (/.f64 (-.f64 y (*.f64 y y)) t) (/.f64 (neg.f64 y) t)) z x) |
(+ x (* z (- (* z (- (* -1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) t)) (* 1/2 (/ (+ y (* -1 (pow y 2))) t)))) (/ y t)))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) z) (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) t) (*.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal -1/2 binary64))) z (/.f64 (neg.f64 y) t)) z x) |
(/ (* y z) t) |
(*.f64 (/.f64 y t) z) |
(* z (+ (* 1/2 (/ (* z (+ y (* -1 (pow y 2)))) t)) (/ y t))) |
(*.f64 (fma.f64 (*.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal 1/2 binary64)) z (/.f64 y t)) z) |
(* z (+ (* z (+ (* 1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) t)) (* 1/2 (/ (+ y (* -1 (pow y 2))) t)))) (/ y t))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) (/.f64 z t)) (*.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal 1/2 binary64))) z (/.f64 y t)) z) |
(* z (+ (* z (+ (* 1/2 (/ (+ y (* -1 (pow y 2))) t)) (* z (+ (* 1/24 (/ (* z (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3))))))) t)) (* 1/6 (/ (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))) t)))))) (/ y t))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) z) (/.f64 (+.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (*.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64))))) y) t) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) t) #s(literal 1/6 binary64))) z (*.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal 1/2 binary64))) z (/.f64 y t)) z) |
(* z (+ y (* 1/2 (* z (+ y (* -1 (pow y 2))))))) |
(*.f64 (fma.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) z y) z) |
(* z (+ y (* z (+ (* 1/6 (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))) (* 1/2 (+ y (* -1 (pow y 2)))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) z y) z) |
(* z (+ y (* z (+ (* 1/2 (+ y (* -1 (pow y 2)))) (* z (+ (* 1/24 (* z (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3)))))))) (* 1/6 (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (+.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (*.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64))))) y)) z (*.f64 #s(literal 1/6 binary64) (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)))) z (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) z y) z) |
(* z (+ (* -1 (/ y t)) (* -1/2 (/ (* z (+ y (* -1 (pow y 2)))) t)))) |
(*.f64 (fma.f64 (*.f64 z #s(literal -1/2 binary64)) (/.f64 (-.f64 y (*.f64 y y)) t) (/.f64 (neg.f64 y) t)) z) |
(* z (+ (* -1 (/ y t)) (* z (+ (* -1/2 (/ (+ y (* -1 (pow y 2))) t)) (* -1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) t)))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) z) (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) t) (*.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal -1/2 binary64))) z (/.f64 (neg.f64 y) t)) z) |
(* z (+ (* -1 (/ y t)) (* z (+ (* -1/2 (/ (+ y (* -1 (pow y 2))) t)) (* z (+ (* -1/6 (/ (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))) t)) (* -1/24 (/ (* z (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3))))))) t)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) z) (/.f64 (+.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (*.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64))))) y) t) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) t) #s(literal -1/6 binary64))) z (*.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal -1/2 binary64))) z (/.f64 (neg.f64 y) t)) z) |
(* -1 z) |
(neg.f64 z) |
(* z (+ y (* 1/2 (* y z)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) y) z) |
(* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal 1/2 binary64) y)) z y) z) |
(* z (+ y (* z (+ (* 1/2 y) (* z (+ (* 1/24 (* y z)) (* 1/6 y))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 z y) (*.f64 #s(literal 1/6 binary64) y)) z (*.f64 #s(literal 1/2 binary64) y)) z y) z) |
y |
(+ y (* 1/2 (* y z))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) y) |
(+ 1 (* y z)) |
(fma.f64 z y #s(literal 1 binary64)) |
(+ 1 (* z (+ y (* 1/2 (* y z))))) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) y) z #s(literal 1 binary64)) |
(+ 1 (* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal 1/2 binary64) y)) z y) z #s(literal 1 binary64)) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(log (- (+ 1 (* y (exp z))) y)) |
(log1p.f64 (*.f64 (expm1.f64 z) y)) |
(* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t)) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)) |
(* 1/2 (* y z)) |
(*.f64 (*.f64 z y) #s(literal 1/2 binary64)) |
(* z (+ (* 1/2 y) (/ y z))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 y z)) z) |
(- (+ 1 (* y (exp z))) y) |
(fma.f64 (expm1.f64 z) y #s(literal 1 binary64)) |
(* (pow z 2) (+ (* 1/2 y) (/ y z))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 y z)) z) z) |
(* -1 (* z (+ (* -1 (/ y z)) (* -1/2 y)))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 y z)) z) |
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 59 | 551 |
| 0 | 86 | 551 |
| 1 | 336 | 551 |
| 2 | 2624 | 551 |
| 0 | 8529 | 494 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) |
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) |
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) |
(*.f64 z y) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 z) (/.f64 y t)))) |
#s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 z) (/.f64 y t))) |
(*.f64 (neg.f64 z) (/.f64 y t)) |
(neg.f64 z) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) #s(approx (* (* (+ (* 1/2 z) 1) z) y) (*.f64 (*.f64 (*.f64 z z) #s(literal 1/2 binary64)) y)))) t)) |
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) #s(approx (* (* (+ (* 1/2 z) 1) z) y) (*.f64 (*.f64 (*.f64 z z) #s(literal 1/2 binary64)) y)))) t) |
#s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) #s(approx (* (* (+ (* 1/2 z) 1) z) y) (*.f64 (*.f64 (*.f64 z z) #s(literal 1/2 binary64)) y)))) |
#s(approx (* (- (exp z) 1) y) #s(approx (* (* (+ (* 1/2 z) 1) z) y) (*.f64 (*.f64 (*.f64 z z) #s(literal 1/2 binary64)) y))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 y z)) z) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) #s(approx (* (* (+ (* 1/2 z) 1) z) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 y z)) z) z)))) t)) |
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) #s(approx (* (* (+ (* 1/2 z) 1) z) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 y z)) z) z)))) t) |
#s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) #s(approx (* (* (+ (* 1/2 z) 1) z) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 y z)) z) z)))) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (* (- (exp z) 1) y) (*.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z y) z)))) t)) |
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (* (- (exp z) 1) y) (*.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z y) z)))) t) |
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (* (- (exp z) 1) y) (*.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z y) z)))) |
#s(approx (+ (- 1 y) (* y (exp z))) #s(approx (* (- (exp z) 1) y) (*.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z y) z))) |
#s(approx (* (* (+ (* 1/2 z) 1) z) y) (*.f64 (*.f64 (*.f64 z z) #s(literal 1/2 binary64)) y)) |
(*.f64 (*.f64 (*.f64 z z) #s(literal 1/2 binary64)) y) |
#s(approx (* (- (exp z) 1) y) #s(approx (* (* (+ (* 1/2 z) 1) z) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 y z)) z) z))) |
#s(approx (* (- (exp z) 1) y) (*.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z y) z)) |
| Outputs |
|---|
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) #s(literal 2 binary64))) (pow.f64 (+.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) x) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) #s(literal 3 binary64))) (pow.f64 (fma.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) (+.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) x) (*.f64 x x)) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (+.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) x) (-.f64 (*.f64 x x) (pow.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) (+.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) x) (*.f64 x x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) x)) (*.f64 (+.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) x) (pow.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) #s(literal 2 binary64)))) (*.f64 (+.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) x) (+.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) x))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) (+.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) x) (*.f64 x x))) (*.f64 (fma.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) (+.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) x) (*.f64 x x)) (pow.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) #s(literal 3 binary64)))) (*.f64 (fma.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) (+.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) x) (*.f64 x x)) (fma.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) (+.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) x) (*.f64 x x)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) (+.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) x) (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) #s(literal 2 binary64))) (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) (neg.f64 t)))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) #s(literal 2 binary64))) (+.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) x)) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) #s(literal 2 binary64)) (*.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) (neg.f64 t)))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) (+.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) x) (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) x) (-.f64 (*.f64 x x) (pow.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) (+.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) x) (*.f64 x x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) #s(literal 3 binary64))))) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) x) |
(fma.f64 (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))) (pow.f64 t #s(literal -1 binary64)) x) |
(fma.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) (/.f64 #s(literal -1 binary64) t) x) |
(-.f64 (/.f64 (*.f64 x x) (+.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) x)) (/.f64 (pow.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) #s(literal 2 binary64)) (+.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) x))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) (+.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) x) (*.f64 x x))) (/.f64 (pow.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) (+.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) x) (*.f64 x x)))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) |
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(fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (* (- (exp z) 1) y) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y) z y) z)))) t) x) |
(fma.f64 (neg.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (* (- (exp z) 1) y) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y) z y) z))))) (pow.f64 t #s(literal -1 binary64)) x) |
(fma.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (* (- (exp z) 1) y) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y) z y) z)))) (/.f64 #s(literal -1 binary64) t) x) |
(-.f64 (/.f64 (*.f64 x x) (+.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (* (- (exp z) 1) y) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y) z y) z)))) t) x)) (/.f64 (pow.f64 (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (* (- (exp z) 1) y) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y) z y) z))))) #s(literal -2 binary64)) (+.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (* (- (exp z) 1) y) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y) z y) z)))) t) x))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (* (- (exp z) 1) y) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y) z y) z)))) t) (+.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (* (- (exp z) 1) y) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y) z y) z)))) t) x) (*.f64 x x))) (/.f64 (pow.f64 (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (* (- (exp z) 1) y) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y) z y) z))))) #s(literal -3 binary64)) (fma.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (* (- (exp z) 1) y) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y) z y) z)))) t) (+.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (* (- (exp z) 1) y) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y) z y) z)))) t) x) (*.f64 x x)))) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (* (- (exp z) 1) y) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y) z y) z)))) t)) |
(+.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (* (- (exp z) 1) y) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y) z y) z)))) (neg.f64 t)) x) |
(+.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (* (- (exp z) 1) y) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y) z y) z)))) (neg.f64 t))) |
(*.f64 (pow.f64 t #s(literal -1 binary64)) (pow.f64 (pow.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (* (- (exp z) 1) y) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y) z y) z)))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 t #s(literal -1 binary64)) (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (* (- (exp z) 1) y) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y) z y) z))))) |
(*.f64 (neg.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (* (- (exp z) 1) y) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y) z y) z))))) (/.f64 #s(literal -1 binary64) t)) |
(*.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (* (- (exp z) 1) y) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y) z y) z)))) (pow.f64 t #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (* (- (exp z) 1) y) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y) z y) z)))) t)) |
(pow.f64 (/.f64 (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (* (- (exp z) 1) y) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y) z y) z))))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (* (- (exp z) 1) y) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y) z y) z))))) #s(literal -1 binary64)) |
(/.f64 (/.f64 (neg.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (* (- (exp z) 1) y) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y) z y) z))))) #s(literal -1 binary64)) t) |
(/.f64 (neg.f64 (neg.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (* (- (exp z) 1) y) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y) z y) z)))))) t) |
(/.f64 (*.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (* (- (exp z) 1) y) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y) z y) z)))) #s(literal 1 binary64)) t) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (* (- (exp z) 1) y) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y) z y) z))))))) |
(/.f64 (neg.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (* (- (exp z) 1) y) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y) z y) z))))) (neg.f64 t)) |
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (* (- (exp z) 1) y) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y) z y) z)))) t) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (* (- (exp z) 1) y) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y) z y) z))))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (* (- (exp z) 1) y) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y) z y) z)))))) |
(neg.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (* (- (exp z) 1) y) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y) z y) z)))) (neg.f64 t))) |
(exp.f64 (*.f64 (log.f64 (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (* (- (exp z) 1) y) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y) z y) z)))))) #s(literal -1 binary64))) |
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (* (- (exp z) 1) y) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y) z y) z)))) |
#s(approx (+ (- 1 y) (* y (exp z))) #s(approx (* (- (exp z) 1) y) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y) z y) z))) |
#s(approx (* (* (+ (* 1/2 z) 1) z) y) (*.f64 (*.f64 (*.f64 z z) #s(literal 1/2 binary64)) y)) |
(*.f64 (*.f64 (*.f64 z z) y) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 y (*.f64 z z)) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 z z)) |
(*.f64 (*.f64 (*.f64 z z) #s(literal 1/2 binary64)) y) |
(*.f64 (*.f64 z z) (*.f64 #s(literal 1/2 binary64) y)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 z z) y)) |
(*.f64 (*.f64 z y) (*.f64 #s(literal 1/2 binary64) z)) |
(*.f64 z (*.f64 (*.f64 #s(literal 1/2 binary64) z) y)) |
(*.f64 z (*.f64 z (*.f64 #s(literal 1/2 binary64) y))) |
(*.f64 y (*.f64 (*.f64 z z) #s(literal 1/2 binary64))) |
#s(approx (* (- (exp z) 1) y) #s(approx (* (* (+ (* 1/2 z) 1) z) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 y z)) z) z))) |
#s(approx (* (- (exp z) 1) y) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y) z y) z)) |
Compiled 15 903 to 1 194 computations (92.5% saved)
28 alts after pruning (17 fresh and 11 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 297 | 6 | 303 |
| Fresh | 1 | 11 | 12 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 6 | 6 |
| Total | 298 | 28 | 326 |
| Status | Accuracy | Program |
|---|---|---|
| 20.7% | (fma.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* (* z y) 1/2) y) z) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y)))) (/.f64 #s(literal -1 binary64) t) x) | |
| 80.3% | (fma.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) (/.f64 #s(literal -1 binary64) t) x) | |
| 59.9% | (fma.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) #s(approx (* (* (+ (* 1/2 z) 1) z) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 y z)) z) z)))) (/.f64 #s(literal -1 binary64) t) x) | |
| 60.8% | (fma.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) #s(approx (* (* (+ (* 1/2 z) 1) z) y) (*.f64 (*.f64 (*.f64 z z) #s(literal 1/2 binary64)) y)))) (/.f64 #s(literal -1 binary64) t) x) | |
| 34.4% | (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) #s(literal 3 binary64))) (fma.f64 (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) (*.f64 x x))) | |
| 74.1% | (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t)) | |
| ✓ | 34.9% | (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))) t)) |
| ✓ | 20.7% | (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* (* z y) 1/2) y) z) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y)))) t)) |
| 20.6% | (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (* (- (exp z) 1) y) (*.f64 (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64))) z (*.f64 #s(literal 1/2 binary64) y)) z y) z)))) t)) | |
| ✓ | 22.7% | (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (* (- (exp z) 1) y) (*.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z y) z)))) t)) |
| ✓ | 76.2% | (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t)) |
| ✓ | 89.5% | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t)) |
| ✓ | 80.3% | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) |
| 72.8% | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) (*.f64 z y)))) t)) | |
| ✓ | 59.9% | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) #s(approx (* (* (+ (* 1/2 z) 1) z) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 y z)) z) z)))) t)) |
| ✓ | 60.8% | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) #s(approx (* (* (+ (* 1/2 z) 1) z) y) (*.f64 (*.f64 (*.f64 z z) #s(literal 1/2 binary64)) y)))) t)) |
| 78.5% | (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 z (/.f64 t y)))) | |
| 79.4% | (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 y (/.f64 t z)))) | |
| ✓ | 79.0% | (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 y (/.f64 z t)))) |
| 79.0% | (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 y (/.f64 #s(literal 1 binary64) (/.f64 t z))))) | |
| 79.0% | (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 y (*.f64 (neg.f64 z) (/.f64 #s(literal -1 binary64) t))))) | |
| ✓ | 25.4% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t))) |
| 25.4% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (*.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 (expm1.f64 z) y)))) | |
| 14.9% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (/.f64 (*.f64 (neg.f64 z) y) t))) | |
| 13.6% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (/.f64 (neg.f64 z) (/.f64 t y)))) | |
| ✓ | 13.6% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 z) (/.f64 y t)))) |
| 18.2% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t)))) | |
| 14.1% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) #s(approx (* (neg z) (/ y t)) (*.f64 (/.f64 (neg.f64 z) t) y)))) |
Compiled 1 869 to 801 computations (57.1% saved)
| Inputs |
|---|
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) #s(approx (* (neg z) (/ y t)) (*.f64 (/.f64 (neg.f64 z) t) y)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 z) (/.f64 y t)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (/.f64 (*.f64 (neg.f64 z) y) t))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 y (/.f64 z t)))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) |
(fma.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) (/.f64 #s(literal -1 binary64) t) x) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (/.f64 (neg.f64 z) (/.f64 t y)))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 y (/.f64 t z)))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 z (/.f64 t y)))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 y (*.f64 (neg.f64 z) (/.f64 #s(literal -1 binary64) t))))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) #s(approx (* (* (+ (* 1/2 z) 1) z) y) (*.f64 (*.f64 (*.f64 z z) #s(literal 1/2 binary64)) y)))) t)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 y (/.f64 #s(literal 1 binary64) (/.f64 t z))))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 z y))))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y))) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) (*.f64 z y)))) t)) |
(fma.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) #s(approx (* (* (+ (* 1/2 z) 1) z) y) (*.f64 (*.f64 (*.f64 z z) #s(literal 1/2 binary64)) y)))) (/.f64 #s(literal -1 binary64) t) x) |
(fma.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y))) (/.f64 #s(literal -1 binary64) t) x) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) z)) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) z y) z)) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) #s(approx (* (* (+ (* 1/2 z) 1) z) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 y z)) z) z)))) t)) |
(fma.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) #s(approx (* (* (+ (* 1/2 z) 1) z) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 y z)) z) z)))) (/.f64 #s(literal -1 binary64) t) x) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 y (*.f64 (pow.f64 t #s(literal -1 binary64)) z)))) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t)))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t)) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t)) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* (* z y) 1/2) y) z) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y)))) t)) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64)))) t)) |
(fma.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* (* z y) 1/2) y) z) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y)))) (/.f64 #s(literal -1 binary64) t) x) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (* (- (exp z) 1) y) (*.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z y) z)))) t)) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z y) z #s(literal 1 binary64)))) t)) |
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z #s(literal 1 binary64))))))) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (* (- (exp z) 1) y) (*.f64 (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64))) z (*.f64 #s(literal 1/2 binary64) y)) z y) z)))) t)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t))) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))) t)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (*.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 (expm1.f64 z) y)))) |
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) |
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) x) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) #s(literal 3 binary64))) (fma.f64 (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) (*.f64 x x))) |
| Outputs |
|---|
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) x) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) |
9 calls:
| 15.0ms | x |
| 13.0ms | z |
| 13.0ms | (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) |
| 12.0ms | (exp.f64 z) |
| 11.0ms | t |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.2% | 2 | x |
| 92.9% | 2 | y |
| 95.5% | 2 | z |
| 92.1% | 2 | t |
| 89.5% | 1 | (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) |
| 93.4% | 3 | (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) |
| 95.0% | 2 | (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) |
| 95.0% | 2 | (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) |
| 95.5% | 2 | (exp.f64 z) |
Compiled 47 to 63 computations (-34% saved)
| Inputs |
|---|
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) #s(approx (* (neg z) (/ y t)) (*.f64 (/.f64 (neg.f64 z) t) y)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 z) (/.f64 y t)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (/.f64 (*.f64 (neg.f64 z) y) t))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 y (/.f64 z t)))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) |
(fma.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) (/.f64 #s(literal -1 binary64) t) x) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (/.f64 (neg.f64 z) (/.f64 t y)))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 y (/.f64 t z)))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 z (/.f64 t y)))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 y (*.f64 (neg.f64 z) (/.f64 #s(literal -1 binary64) t))))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) #s(approx (* (* (+ (* 1/2 z) 1) z) y) (*.f64 (*.f64 (*.f64 z z) #s(literal 1/2 binary64)) y)))) t)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 y (/.f64 #s(literal 1 binary64) (/.f64 t z))))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 z y))))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y))) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) (*.f64 z y)))) t)) |
(fma.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) #s(approx (* (* (+ (* 1/2 z) 1) z) y) (*.f64 (*.f64 (*.f64 z z) #s(literal 1/2 binary64)) y)))) (/.f64 #s(literal -1 binary64) t) x) |
(fma.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y))) (/.f64 #s(literal -1 binary64) t) x) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) z)) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) z y) z)) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) #s(approx (* (* (+ (* 1/2 z) 1) z) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 y z)) z) z)))) t)) |
(fma.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) #s(approx (* (* (+ (* 1/2 z) 1) z) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 y z)) z) z)))) (/.f64 #s(literal -1 binary64) t) x) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 y (*.f64 (pow.f64 t #s(literal -1 binary64)) z)))) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t)))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t)) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t)) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* (* z y) 1/2) y) z) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y)))) t)) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64)))) t)) |
(fma.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* (* z y) 1/2) y) z) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y)))) (/.f64 #s(literal -1 binary64) t) x) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (* (- (exp z) 1) y) (*.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z y) z)))) t)) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z y) z #s(literal 1 binary64)))) t)) |
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z #s(literal 1 binary64))))))) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (* (- (exp z) 1) y) (*.f64 (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64))) z (*.f64 #s(literal 1/2 binary64) y)) z y) z)))) t)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t))) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))) t)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (*.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 (expm1.f64 z) y)))) |
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) |
| Outputs |
|---|
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t)) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))) t)) |
4 calls:
| 14.0ms | z |
| 9.0ms | (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) |
| 8.0ms | (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) |
| 8.0ms | (exp.f64 z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.0% | 2 | (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) |
| 95.0% | 2 | (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) |
| 91.2% | 2 | z |
| 91.1% | 2 | (exp.f64 z) |
Compiled 20 to 28 computations (-40% saved)
| Inputs |
|---|
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) #s(approx (* (neg z) (/ y t)) (*.f64 (/.f64 (neg.f64 z) t) y)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 z) (/.f64 y t)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (/.f64 (*.f64 (neg.f64 z) y) t))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 y (/.f64 z t)))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) |
(fma.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) (/.f64 #s(literal -1 binary64) t) x) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (/.f64 (neg.f64 z) (/.f64 t y)))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 y (/.f64 t z)))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 z (/.f64 t y)))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 y (*.f64 (neg.f64 z) (/.f64 #s(literal -1 binary64) t))))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) #s(approx (* (* (+ (* 1/2 z) 1) z) y) (*.f64 (*.f64 (*.f64 z z) #s(literal 1/2 binary64)) y)))) t)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 y (/.f64 #s(literal 1 binary64) (/.f64 t z))))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 z y))))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y))) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) (*.f64 z y)))) t)) |
(fma.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) #s(approx (* (* (+ (* 1/2 z) 1) z) y) (*.f64 (*.f64 (*.f64 z z) #s(literal 1/2 binary64)) y)))) (/.f64 #s(literal -1 binary64) t) x) |
(fma.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y))) (/.f64 #s(literal -1 binary64) t) x) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) z)) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) z y) z)) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) #s(approx (* (* (+ (* 1/2 z) 1) z) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 y z)) z) z)))) t)) |
(fma.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) #s(approx (* (* (+ (* 1/2 z) 1) z) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 y z)) z) z)))) (/.f64 #s(literal -1 binary64) t) x) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 y (*.f64 (pow.f64 t #s(literal -1 binary64)) z)))) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t)))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t)) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t)) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* (* z y) 1/2) y) z) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y)))) t)) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64)))) t)) |
(fma.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* (* z y) 1/2) y) z) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y)))) (/.f64 #s(literal -1 binary64) t) x) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (* (- (exp z) 1) y) (*.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z y) z)))) t)) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z y) z #s(literal 1 binary64)))) t)) |
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z #s(literal 1 binary64))))))) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (* (- (exp z) 1) y) (*.f64 (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64))) z (*.f64 #s(literal 1/2 binary64) y)) z y) z)))) t)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t))) |
| Outputs |
|---|
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z y) z #s(literal 1 binary64)))) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t)) |
5 calls:
| 162.0ms | (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) |
| 89.0ms | (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) |
| 10.0ms | y |
| 10.0ms | t |
| 9.0ms | (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.5% | 1 | (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) |
| 89.5% | 1 | t |
| 91.4% | 2 | y |
| 91.2% | 2 | (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) |
| 91.2% | 2 | (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) |
Compiled 30 to 38 computations (-26.7% saved)
| Inputs |
|---|
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) #s(approx (* (neg z) (/ y t)) (*.f64 (/.f64 (neg.f64 z) t) y)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 z) (/.f64 y t)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (/.f64 (*.f64 (neg.f64 z) y) t))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 y (/.f64 z t)))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) |
(fma.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) (/.f64 #s(literal -1 binary64) t) x) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (/.f64 (neg.f64 z) (/.f64 t y)))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 y (/.f64 t z)))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 z (/.f64 t y)))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 y (*.f64 (neg.f64 z) (/.f64 #s(literal -1 binary64) t))))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) #s(approx (* (* (+ (* 1/2 z) 1) z) y) (*.f64 (*.f64 (*.f64 z z) #s(literal 1/2 binary64)) y)))) t)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 y (/.f64 #s(literal 1 binary64) (/.f64 t z))))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 z y))))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y))) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) (*.f64 z y)))) t)) |
(fma.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) #s(approx (* (* (+ (* 1/2 z) 1) z) y) (*.f64 (*.f64 (*.f64 z z) #s(literal 1/2 binary64)) y)))) (/.f64 #s(literal -1 binary64) t) x) |
(fma.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y))) (/.f64 #s(literal -1 binary64) t) x) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) z)) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) z y) z)) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) #s(approx (* (* (+ (* 1/2 z) 1) z) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 y z)) z) z)))) t)) |
(fma.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) #s(approx (* (* (+ (* 1/2 z) 1) z) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 y z)) z) z)))) (/.f64 #s(literal -1 binary64) t) x) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 y (*.f64 (pow.f64 t #s(literal -1 binary64)) z)))) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t)))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t)) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t)) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* (* z y) 1/2) y) z) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y)))) t)) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64)))) t)) |
(fma.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* (* z y) 1/2) y) z) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y)))) (/.f64 #s(literal -1 binary64) t) x) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (* (- (exp z) 1) y) (*.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z y) z)))) t)) |
| Outputs |
|---|
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t)) |
1 calls:
| 9.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.4% | 2 | y |
Compiled 1 to 4 computations (-300% saved)
| Inputs |
|---|
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) #s(approx (* (neg z) (/ y t)) (*.f64 (/.f64 (neg.f64 z) t) y)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 z) (/.f64 y t)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (/.f64 (*.f64 (neg.f64 z) y) t))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 y (/.f64 z t)))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) |
(fma.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) (/.f64 #s(literal -1 binary64) t) x) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (/.f64 (neg.f64 z) (/.f64 t y)))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 y (/.f64 t z)))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 z (/.f64 t y)))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 y (*.f64 (neg.f64 z) (/.f64 #s(literal -1 binary64) t))))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) #s(approx (* (* (+ (* 1/2 z) 1) z) y) (*.f64 (*.f64 (*.f64 z z) #s(literal 1/2 binary64)) y)))) t)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 y (/.f64 #s(literal 1 binary64) (/.f64 t z))))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 z y))))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y))) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) (*.f64 z y)))) t)) |
(fma.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) #s(approx (* (* (+ (* 1/2 z) 1) z) y) (*.f64 (*.f64 (*.f64 z z) #s(literal 1/2 binary64)) y)))) (/.f64 #s(literal -1 binary64) t) x) |
(fma.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y))) (/.f64 #s(literal -1 binary64) t) x) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) z)) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) z y) z)) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) #s(approx (* (* (+ (* 1/2 z) 1) z) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 y z)) z) z)))) t)) |
(fma.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) #s(approx (* (* (+ (* 1/2 z) 1) z) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 y z)) z) z)))) (/.f64 #s(literal -1 binary64) t) x) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 y (*.f64 (pow.f64 t #s(literal -1 binary64)) z)))) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t)))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t)) |
| Outputs |
|---|
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t)) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t)) |
4 calls:
| 151.0ms | x |
| 8.0ms | y |
| 6.0ms | (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) |
| 6.0ms | (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.2% | 2 | (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) |
| 91.2% | 2 | (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) |
| 89.5% | 1 | x |
| 89.5% | 1 | y |
Compiled 19 to 27 computations (-42.1% saved)
| Inputs |
|---|
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) #s(approx (* (neg z) (/ y t)) (*.f64 (/.f64 (neg.f64 z) t) y)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 z) (/.f64 y t)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (/.f64 (*.f64 (neg.f64 z) y) t))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 y (/.f64 z t)))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) |
(fma.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) (/.f64 #s(literal -1 binary64) t) x) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (/.f64 (neg.f64 z) (/.f64 t y)))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 y (/.f64 t z)))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 z (/.f64 t y)))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 y (*.f64 (neg.f64 z) (/.f64 #s(literal -1 binary64) t))))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) #s(approx (* (* (+ (* 1/2 z) 1) z) y) (*.f64 (*.f64 (*.f64 z z) #s(literal 1/2 binary64)) y)))) t)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 y (/.f64 #s(literal 1 binary64) (/.f64 t z))))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 z y))))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y))) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) (*.f64 z y)))) t)) |
(fma.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) #s(approx (* (* (+ (* 1/2 z) 1) z) y) (*.f64 (*.f64 (*.f64 z z) #s(literal 1/2 binary64)) y)))) (/.f64 #s(literal -1 binary64) t) x) |
(fma.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y))) (/.f64 #s(literal -1 binary64) t) x) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) z)) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) z y) z)) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) #s(approx (* (* (+ (* 1/2 z) 1) z) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 y z)) z) z)))) t)) |
(fma.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) #s(approx (* (* (+ (* 1/2 z) 1) z) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 y z)) z) z)))) (/.f64 #s(literal -1 binary64) t) x) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 y (*.f64 (pow.f64 t #s(literal -1 binary64)) z)))) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t)))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))) |
| Outputs |
|---|
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))) |
9 calls:
| 138.0ms | z |
| 17.0ms | t |
| 8.0ms | y |
| 8.0ms | x |
| 7.0ms | (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.9% | 1 | x |
| 90.6% | 2 | t |
| 88.9% | 1 | (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) |
| 88.9% | 1 | y |
| 88.9% | 1 | (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) |
| 88.9% | 1 | (exp.f64 z) |
| 88.9% | 1 | z |
| 90.6% | 2 | (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) |
| 90.6% | 2 | (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) |
Compiled 47 to 63 computations (-34% saved)
| Inputs |
|---|
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) #s(approx (* (neg z) (/ y t)) (*.f64 (/.f64 (neg.f64 z) t) y)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 z) (/.f64 y t)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (/.f64 (*.f64 (neg.f64 z) y) t))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 y (/.f64 z t)))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) |
(fma.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) (/.f64 #s(literal -1 binary64) t) x) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (/.f64 (neg.f64 z) (/.f64 t y)))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 y (/.f64 t z)))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 z (/.f64 t y)))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 y (*.f64 (neg.f64 z) (/.f64 #s(literal -1 binary64) t))))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) #s(approx (* (* (+ (* 1/2 z) 1) z) y) (*.f64 (*.f64 (*.f64 z z) #s(literal 1/2 binary64)) y)))) t)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 y (/.f64 #s(literal 1 binary64) (/.f64 t z))))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 z y))))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y))) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) (*.f64 z y)))) t)) |
(fma.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) #s(approx (* (* (+ (* 1/2 z) 1) z) y) (*.f64 (*.f64 (*.f64 z z) #s(literal 1/2 binary64)) y)))) (/.f64 #s(literal -1 binary64) t) x) |
(fma.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y))) (/.f64 #s(literal -1 binary64) t) x) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) z)) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) z y) z)) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) #s(approx (* (* (+ (* 1/2 z) 1) z) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 y z)) z) z)))) t)) |
(fma.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) #s(approx (* (* (+ (* 1/2 z) 1) z) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 y z)) z) z)))) (/.f64 #s(literal -1 binary64) t) x) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 y (*.f64 (pow.f64 t #s(literal -1 binary64)) z)))) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t)))) |
| Outputs |
|---|
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) |
9 calls:
| 134.0ms | (exp.f64 z) |
| 10.0ms | x |
| 7.0ms | t |
| 7.0ms | z |
| 7.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.3% | 1 | (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) |
| 83.2% | 2 | x |
| 82.2% | 2 | y |
| 86.6% | 2 | z |
| 80.3% | 1 | (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) |
| 86.6% | 2 | (exp.f64 z) |
| 83.9% | 2 | (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) |
| 83.9% | 2 | (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) |
| 84.9% | 3 | t |
Compiled 47 to 63 computations (-34% saved)
| Inputs |
|---|
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) #s(approx (* (neg z) (/ y t)) (*.f64 (/.f64 (neg.f64 z) t) y)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 z) (/.f64 y t)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (/.f64 (*.f64 (neg.f64 z) y) t))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 y (/.f64 z t)))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) |
(fma.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) (/.f64 #s(literal -1 binary64) t) x) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (/.f64 (neg.f64 z) (/.f64 t y)))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 y (/.f64 t z)))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 z (/.f64 t y)))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 y (*.f64 (neg.f64 z) (/.f64 #s(literal -1 binary64) t))))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) #s(approx (* (* (+ (* 1/2 z) 1) z) y) (*.f64 (*.f64 (*.f64 z z) #s(literal 1/2 binary64)) y)))) t)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 y (/.f64 #s(literal 1 binary64) (/.f64 t z))))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 z y))))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y))) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) (*.f64 z y)))) t)) |
(fma.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) #s(approx (* (* (+ (* 1/2 z) 1) z) y) (*.f64 (*.f64 (*.f64 z z) #s(literal 1/2 binary64)) y)))) (/.f64 #s(literal -1 binary64) t) x) |
(fma.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y))) (/.f64 #s(literal -1 binary64) t) x) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) z)) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) z y) z)) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) #s(approx (* (* (+ (* 1/2 z) 1) z) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 y z)) z) z)))) t)) |
(fma.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) #s(approx (* (* (+ (* 1/2 z) 1) z) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 y z)) z) z)))) (/.f64 #s(literal -1 binary64) t) x) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 y (*.f64 (pow.f64 t #s(literal -1 binary64)) z)))) |
| Outputs |
|---|
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) |
7 calls:
| 10.0ms | x |
| 8.0ms | (exp.f64 z) |
| 7.0ms | y |
| 7.0ms | z |
| 7.0ms | t |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.3% | 1 | y |
| 80.3% | 1 | x |
| 80.3% | 1 | t |
| 80.3% | 1 | (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) |
| 80.3% | 1 | (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) |
| 80.3% | 1 | (exp.f64 z) |
| 80.3% | 1 | z |
Compiled 23 to 40 computations (-73.9% saved)
| Inputs |
|---|
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) #s(approx (* (neg z) (/ y t)) (*.f64 (/.f64 (neg.f64 z) t) y)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 z) (/.f64 y t)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (/.f64 (*.f64 (neg.f64 z) y) t))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 y (/.f64 z t)))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z))) |
| Outputs |
|---|
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 y (/.f64 z t)))) |
9 calls:
| 5.0ms | z |
| 2.0ms | y |
| 2.0ms | (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) |
| 2.0ms | t |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 79.0% | 1 | (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) |
| 79.0% | 1 | (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) |
| 79.0% | 1 | (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) |
| 79.0% | 1 | (exp.f64 z) |
| 79.0% | 1 | z |
| 79.0% | 1 | (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) |
| 79.0% | 1 | x |
| 79.0% | 1 | t |
| 79.0% | 1 | y |
Compiled 47 to 63 computations (-34% saved)
| Inputs |
|---|
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) #s(approx (* (neg z) (/ y t)) (*.f64 (/.f64 (neg.f64 z) t) y)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 z) (/.f64 y t)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (/.f64 (*.f64 (neg.f64 z) y) t))) |
| Outputs |
|---|
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (/.f64 (*.f64 (neg.f64 z) y) t))) |
9 calls:
| 4.0ms | (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) |
| 2.0ms | z |
| 2.0ms | x |
| 2.0ms | y |
| 2.0ms | t |
| Accuracy | Segments | Branch |
|---|---|---|
| 14.9% | 1 | (exp.f64 z) |
| 14.9% | 1 | (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) |
| 14.9% | 1 | (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) |
| 14.9% | 1 | z |
| 14.9% | 1 | (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) |
| 14.9% | 1 | (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) |
| 14.9% | 1 | x |
| 14.9% | 1 | y |
| 14.9% | 1 | t |
Compiled 47 to 63 computations (-34% saved)
Total -1.0b remaining (-1.8%)
Threshold costs -1b (-1.8%)
| Inputs |
|---|
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) #s(approx (* (neg z) (/ y t)) (*.f64 (/.f64 (neg.f64 z) t) y)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 z) (/.f64 y t)))) |
| Outputs |
|---|
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) #s(approx (* (neg z) (/ y t)) (*.f64 (/.f64 (neg.f64 z) t) y)))) |
9 calls:
| 4.0ms | y |
| 2.0ms | (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) |
| 2.0ms | x |
| 2.0ms | t |
| 2.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 14.1% | 1 | y |
| 14.1% | 1 | (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) |
| 14.1% | 1 | (exp.f64 z) |
| 14.1% | 1 | z |
| 14.1% | 1 | t |
| 14.1% | 1 | (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) |
| 14.1% | 1 | (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) |
| 14.1% | 1 | (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) |
| 14.1% | 1 | x |
Compiled 47 to 63 computations (-34% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.2787624816682025 | 0.9999999999999873 |
Compiled 16 to 19 computations (-18.8% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0 | 618994690616332.8 |
Compiled 16 to 19 computations (-18.8% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 55.0ms | -2.7020794732410146e+268 | -5.6275297618093665e+265 |
| 32.0ms | 83× | 1 | valid |
| 12.0ms | 41× | 1 | invalid |
| 4.0ms | 45× | 0 | valid |
| 0.0ms | 2× | 0 | invalid |
Compiled 368 to 315 computations (14.4% saved)
ival-exp: 22.0ms (54.6% of total)ival-log: 6.0ms (14.9% of total)adjust: 3.0ms (7.4% of total)ival-sub: 3.0ms (7.4% of total)ival-div: 2.0ms (5% of total)ival-mult: 2.0ms (5% of total)ival-add: 1.0ms (2.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 40.0ms | -2.7020794732410146e+268 | -5.6275297618093665e+265 |
| 22.0ms | 61× | 1 | valid |
| 9.0ms | 41× | 1 | invalid |
| 3.0ms | 35× | 0 | valid |
| 0.0ms | 3× | 0 | invalid |
Compiled 304 to 275 computations (9.5% saved)
ival-exp: 14.0ms (48.6% of total)ival-log: 5.0ms (17.3% of total)ival-sub: 3.0ms (10.4% of total)adjust: 2.0ms (6.9% of total)ival-div: 2.0ms (6.9% of total)ival-mult: 2.0ms (6.9% of total)ival-add: 1.0ms (3.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.413579329693446e+91 | 1.0855090309201654e+115 |
Compiled 16 to 19 computations (-18.8% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 32.0ms | -3.1010682257672226e+48 | -1.6357130235188815e+45 |
| 22.0ms | 68× | 1 | valid |
| 5.0ms | 60× | 0 | valid |
Compiled 296 to 275 computations (7.1% saved)
ival-log: 11.0ms (49% of total)ival-exp: 4.0ms (17.8% of total)ival-sub: 2.0ms (8.9% of total)adjust: 2.0ms (8.9% of total)ival-div: 1.0ms (4.5% of total)ival-mult: 1.0ms (4.5% of total)ival-add: 1.0ms (4.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 16.0ms | -1.940201401853611e+37 | -6.69126529948482e+36 |
| 7.0ms | 59× | 0 | valid |
| 5.0ms | 21× | 1 | valid |
| 1.0ms | 9× | 0 | invalid |
Compiled 176 to 169 computations (4% saved)
ival-log: 4.0ms (39.2% of total)ival-mult: 3.0ms (29.4% of total)ival-sub: 1.0ms (9.8% of total)ival-add: 1.0ms (9.8% of total)ival-div: 1.0ms (9.8% of total)adjust: 1.0ms (9.8% of total)ival-exp: 1.0ms (9.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 101 | 397 |
| 1 | 136 | 397 |
| 2 | 194 | 397 |
| 3 | 237 | 397 |
| 4 | 265 | 397 |
| 5 | 274 | 397 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (exp.f64 z) #s(literal 1/2 binary64)) (fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) x) (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))) |
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) #s(literal 2 binary64)) (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t)) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))) t))) |
(if (<=.f64 y #s(literal -255000000000000003536752748461843996589529449209261913061222812938157131425155280288964365068647013063165373440730273998061708587765801696742549056070245155288480641395373760688514770284466535767058910603855825518676483571315878914909456600776486792352148945807343616 binary64)) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z y) z #s(literal 1 binary64)))) t)) (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t))) |
(if (<=.f64 y #s(literal -56999999999999998600534432361032801252693693718700307746728574431949930067159144240804787076593131911244639617809303125556890038165318255935633378168914228206923093133439222585271736865176300174587189433645866344259919227631265773996836199658340653586573103273607168 binary64)) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t)) (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t))) |
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) #s(literal 40000000000000003182492994451219885726249045606676420637545759893951723008807044536567070720 binary64)) (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t)) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t))) |
(if (<=.f64 t #s(literal -2999999999999999969278252306015228672324132667392 binary64)) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)))) |
(if (<=.f64 z #s(literal -7800000000000000419425343071145951232 binary64)) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t)) (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 y (/.f64 z t)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (/.f64 (*.f64 (neg.f64 z) y) t))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) #s(approx (* (neg z) (/ y t)) (*.f64 (/.f64 (neg.f64 z) t) y)))) |
| Outputs |
|---|
(if (<=.f64 (exp.f64 z) #s(literal 1/2 binary64)) (fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) x) (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))) |
(if (<=.f64 (exp.f64 z) #s(literal 1/2 binary64)) (fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) x) (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t))) |
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) #s(literal 2 binary64)) (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t)) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))) t))) |
(if (<=.f64 (+.f64 (*.f64 y (exp.f64 z)) (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t)) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))) t))) |
(if (<=.f64 y #s(literal -255000000000000003536752748461843996589529449209261913061222812938157131425155280288964365068647013063165373440730273998061708587765801696742549056070245155288480641395373760688514770284466535767058910603855825518676483571315878914909456600776486792352148945807343616 binary64)) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z y) z #s(literal 1 binary64)))) t)) (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t))) |
(if (<=.f64 y #s(literal -255000000000000003536752748461843996589529449209261913061222812938157131425155280288964365068647013063165373440730273998061708587765801696742549056070245155288480641395373760688514770284466535767058910603855825518676483571315878914909456600776486792352148945807343616 binary64)) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y) z y) z #s(literal 1 binary64)))) t)) (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t))) |
(if (<=.f64 y #s(literal -56999999999999998600534432361032801252693693718700307746728574431949930067159144240804787076593131911244639617809303125556890038165318255935633378168914228206923093133439222585271736865176300174587189433645866344259919227631265773996836199658340653586573103273607168 binary64)) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t)) (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t))) |
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) #s(literal 40000000000000003182492994451219885726249045606676420637545759893951723008807044536567070720 binary64)) (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t)) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t))) |
(if (<=.f64 (+.f64 (*.f64 y (exp.f64 z)) (-.f64 #s(literal 1 binary64) y)) #s(literal 40000000000000003182492994451219885726249045606676420637545759893951723008807044536567070720 binary64)) (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t)) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t))) |
(if (<=.f64 t #s(literal -2999999999999999969278252306015228672324132667392 binary64)) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)))) |
(if (<=.f64 z #s(literal -7800000000000000419425343071145951232 binary64)) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t)) (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))) |
(if (<=.f64 z #s(literal -7800000000000000419425343071145951232 binary64)) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t)) (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 y (/.f64 z t)))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 z t) y))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (/.f64 (*.f64 (neg.f64 z) y) t))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) #s(approx (* (neg z) (/ y t)) (*.f64 (/.f64 (neg.f64 z) t) y)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 335 | 1607 |
| 1 | 1012 | 1507 |
| 2 | 3166 | 1458 |
| 0 | 8225 | 1214 |
| 0 | 435 | 2203 |
| 1 | 1374 | 2070 |
| 2 | 4283 | 2032 |
| 0 | 9209 | 1700 |
| 0 | 59 | 551 |
| 0 | 86 | 551 |
| 1 | 336 | 551 |
| 2 | 2624 | 551 |
| 0 | 8529 | 494 |
| 0 | 36 | 296 |
| 0 | 57 | 296 |
| 1 | 227 | 296 |
| 2 | 1813 | 296 |
| 0 | 8969 | 279 |
| 0 | 503 | 2485 |
| 1 | 1606 | 2342 |
| 2 | 5012 | 2246 |
| 0 | 8430 | 1867 |
| 0 | 12 | 45 |
| 0 | 19 | 45 |
| 1 | 73 | 45 |
| 2 | 593 | 45 |
| 3 | 7204 | 45 |
| 0 | 8984 | 38 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 599 to 306 computations (48.9% saved)
Compiled 902 to 278 computations (69.2% saved)
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