
Time bar (total: 17.6s)
| 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)
| 3.6s | 4 525× | 1 | valid |
| 1.1s | 1 342× | 5 | exit |
| 439.0ms | 3 731× | 0 | valid |
| 427.0ms | 635× | 1 | invalid |
| 189.0ms | 390× | 4 | exit |
| 171.0ms | 1 859× | 0 | invalid |
ival-log: 2.7s (50.4% of total)ival-exp: 854.0ms (16.2% of total)ival-sub: 473.0ms (9% of total)ival-mult: 407.0ms (7.7% of total)adjust: 356.0ms (6.8% of total)ival-add: 279.0ms (5.3% of total)ival-div: 219.0ms (4.2% of total)ival-true: 9.0ms (0.2% of total)exact: 8.0ms (0.2% of total)ival-assert: 5.0ms (0.1% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 149 | 47 | (-6.418131831017934e-283 -6.683375888184673e-170 -5.548622112664639e-232 -1.2981915876199835e+112) | 1 | (0.0007977418850300975 -4.659140690313864e-299 -4.3456798796352456e-16 1.1825381974857651e+144) | (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) |
| 65 | 5 | (-3.884814215574263e-227 -1.7577482493312848e+192 -0.007696954366990325 -1.0904437309987237e+50) | 0 | - | (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) |
| 18 | 0 | - | 18 | (-1.312855330101832e-84 -7.486122685973058e-155 -3.7296011963242434e-249 -2.2993173073608245e-197) | (/.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 | 193 | 0 |
+.f64 | (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) | cancellation | 38 | 0 |
log.f64 | (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) | oflow-rescue | 2 | 0 |
| ↳ | (exp.f64 z) | overflow | 2 | |
| ↳ | (*.f64 y (exp.f64 z)) | overflow | 2 | |
| ↳ | (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) | overflow | 2 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 89 | 7 |
| - | 126 | 34 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 89 | 0 | 7 |
| - | 126 | 0 | 34 |
| number | freq |
|---|---|
| 0 | 41 |
| 1 | 197 |
| 2 | 18 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 149.0ms | 326× | 1 | valid |
| 106.0ms | 102× | 2 | valid |
| 8.0ms | 84× | 0 | valid |
Compiled 237 to 79 computations (66.7% saved)
ival-log: 127.0ms (58.7% of total)ival-exp: 45.0ms (20.8% of total)adjust: 14.0ms (6.5% of total)ival-sub: 10.0ms (4.6% of total)ival-div: 8.0ms (3.7% of total)ival-mult: 6.0ms (2.8% of total)ival-add: 5.0ms (2.3% 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 |
|---|---|---|
| ▶ | 64.9% | (-.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 | 0.01953125 | (*.f64 y (exp.f64 z)) | |
| accuracy | 3.710316661872866 | (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) | |
| accuracy | 15.016751499249711 | (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) | |
| accuracy | 32.799511226880284 | (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) |
| 67.0ms | 163× | 1 | valid |
| 29.0ms | 51× | 2 | valid |
| 7.0ms | 42× | 0 | valid |
Compiled 112 to 26 computations (76.8% saved)
ival-log: 36.0ms (42% of total)ival-exp: 16.0ms (18.7% of total)adjust: 11.0ms (12.8% of total)ival-div: 10.0ms (11.7% of total)ival-sub: 5.0ms (5.8% of total)ival-mult: 3.0ms (3.5% of total)ival-add: 2.0ms (2.3% 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))) |
| 22.0ms | 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))) |
| 22.0ms | y | @ | 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))) |
| 17.0ms | 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))) |
| 16.0ms | t | @ | 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))) |
| 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)
18 alts after pruning (18 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 331 | 18 | 349 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 332 | 18 | 350 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 81.8% | (fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) x) |
| 81.8% | (-.f64 x (/.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)))) | |
| ▶ | 63.9% | (-.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)) |
| 63.2% | (-.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)) | |
| 69.8% | (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t)) | |
| ▶ | 35.9% | (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))) t)) |
| ▶ | 67.6% | (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t)) |
| 11.5% | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (+.f64 (log.f64 y) (log.f64 (expm1.f64 z)))) t)) | |
| 51.7% | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.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)) t)) | |
| 54.1% | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.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)) t)) | |
| 57.6% | (-.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)) | |
| 80.6% | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t)) | |
| 69.6% | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) | |
| 66.7% | (-.f64 x (*.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)))) | |
| 81.8% | (-.f64 x (*.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)))) | |
| 81.7% | (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))) | |
| ▶ | 70.1% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 y t) x)) |
| 32.8% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t))) |
Compiled 818 to 622 computations (24% 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 | (neg.f64 z) | |
| cost-diff | 0 | (fma.f64 (neg.f64 z) (/.f64 y t) x) | |
| cost-diff | 0 | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 y t) x)) | |
| cost-diff | 0 | (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) t) | |
| cost-diff | 192 | (fma.f64 (exp.f64 z) y (neg.f64 y)) | |
| cost-diff | 192 | (fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 302 |
| 0 | 70 | 304 |
| 1 | 116 | 267 |
| 2 | 207 | 267 |
| 3 | 333 | 267 |
| 4 | 550 | 267 |
| 5 | 793 | 267 |
| 6 | 1339 | 267 |
| 7 | 2351 | 267 |
| 8 | 2884 | 267 |
| 9 | 3226 | 267 |
| 10 | 3575 | 267 |
| 11 | 3870 | 267 |
| 12 | 3879 | 267 |
| 13 | 3882 | 267 |
| 14 | 3883 | 267 |
| 15 | 3883 | 267 |
| 16 | 3883 | 267 |
| 0 | 3883 | 255 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) x) |
(/.f64 #s(literal -1 binary64) t) |
#s(literal -1 binary64) |
t |
(log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) |
(fma.f64 (exp.f64 z) y (neg.f64 y)) |
(exp.f64 z) |
z |
y |
(neg.f64 y) |
x |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 y t) x)) |
(fma.f64 (neg.f64 z) (/.f64 y t) x) |
(neg.f64 z) |
z |
(/.f64 y t) |
y |
t |
x |
(-.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 |
|---|
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) x) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(/.f64 #s(literal -1 binary64) t) |
#s(literal -1 binary64) |
t |
(log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) |
(log1p.f64 (*.f64 (expm1.f64 z) y)) |
(fma.f64 (exp.f64 z) y (neg.f64 y)) |
(*.f64 (expm1.f64 z) y) |
(exp.f64 z) |
z |
y |
(neg.f64 y) |
x |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 y t) x)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (/.f64 y t) (neg.f64 z) x)) |
(fma.f64 (neg.f64 z) (/.f64 y t) x) |
(fma.f64 (/.f64 y t) (neg.f64 z) x) |
(neg.f64 z) |
z |
(/.f64 y t) |
y |
t |
x |
(-.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 y z) 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 y z) 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 y z) 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 y z) 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 y z) 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 y z) y) |
(*.f64 z y) |
(*.f64 y z) |
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 | 0.0078125 | (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))) t)) | |
| accuracy | 3.710316661872866 | (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))) t) | |
| accuracy | 32.799511226880284 | (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))) | |
| accuracy | 47.094552902405965 | #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y)) | |
| accuracy | 0.02734375 | (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64)) | |
| accuracy | 3.710316661872866 | (/.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 | 16.41128462787049 | #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 | 32.799511226880284 | (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 | 0.0078125 | (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t)) | |
| accuracy | 3.710316661872866 | (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t) | |
| accuracy | 15.68532836395012 | #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64)) | |
| accuracy | 32.799511226880284 | (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) | |
| accuracy | 0 | (/.f64 y t) | |
| accuracy | 0 | (neg.f64 z) | |
| accuracy | 3.331145748320284 | (fma.f64 (neg.f64 z) (/.f64 y t) x) | |
| accuracy | 17.765160997904566 | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 y t) x)) | |
| accuracy | 0 | (exp.f64 z) | |
| accuracy | 0.4918849333909695 | (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) | |
| accuracy | 1.030670443622821 | (fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) x) | |
| accuracy | 27.274131619468825 | (fma.f64 (exp.f64 z) y (neg.f64 y)) |
| 137.0ms | 163× | 1 | valid |
| 77.0ms | 51× | 2 | valid |
| 10.0ms | 42× | 0 | valid |
Compiled 546 to 76 computations (86.1% saved)
ival-exp: 41.0ms (22.5% of total)ival-mult: 37.0ms (20.3% of total)ival-log: 31.0ms (17% of total)adjust: 25.0ms (13.7% of total)ival-log1p: 15.0ms (8.2% of total)ival-add: 11.0ms (6% of total)ival-div: 10.0ms (5.5% of total)ival-sub: 5.0ms (2.7% of total)ival-expm1: 4.0ms (2.2% of total)ival-neg: 2.0ms (1.1% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) x) |
(fma.f64 (exp.f64 z) y (neg.f64 y)) |
(/.f64 #s(literal -1 binary64) t) |
(log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 y t) x)) |
(fma.f64 (neg.f64 z) (/.f64 y t) x) |
(neg.f64 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)) |
(exp.f64 z) |
(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 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) |
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(* -1 (/ (* y z) t)) |
(+ x (* -1 (/ (* y z) t))) |
x |
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x))))) |
(* x (+ 1 (* -1 (/ (* y z) (* t x))))) |
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) |
(* -1 (* x (- (/ (* y z) (* t x)) 1))) |
(+ x (* -1 (/ (* y (- (exp z) 1)) t))) |
(+ x (* y (+ (* -1 (/ (- (exp z) 1) t)) (* 1/2 (/ (* y (pow (- (exp z) 1) 2)) t))))) |
(+ x (* 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 (- (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 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))) |
1 |
(+ 1 (* y (- (exp z) 1))) |
(+ 1 (* y (* z (+ 1 (* 1/2 z))))) |
(+ x (* -1 (/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t))) |
(- (+ x (* -1 (/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t))) (/ 1 (* t (* y (- (exp z) 1))))) |
(- (+ x (+ (* -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))))) |
(- (+ x (+ (* -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))))))) |
(+ (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))))) |
(* y (+ (* -1 (/ z t)) (/ x y))) |
(/ (+ (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)))))) |
(* y (- (+ (exp z) (/ 1 y)) 1)) |
(* y (* z (+ 1 (* 1/2 z)))) |
(* y (+ (* z (+ 1 (* 1/2 z))) (/ 1 y))) |
(+ x (* -1 (/ (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) t))) |
(+ x (+ (* -1 (/ (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) t)) (/ 1 (* t (* y (+ 1 (* -1 (exp z)))))))) |
(+ x (+ (* -1 (/ (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) t)) (+ (/ 1/2 (* t (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (* t (* y (+ 1 (* -1 (exp z))))))))) |
(+ x (+ (* -1 (/ (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) t)) (* -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 (* y (+ 1 (* -1 (exp z))))) |
(+ (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))) |
(* -1 (* y (+ (* -1 (/ x y)) (/ 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 (- (+ 1 (* -1 (exp z))) (/ 1 y)))) |
(* -1 (* y (* z (- (* -1/2 z) 1)))) |
(* -1 (* y (- (* z (- (* -1/2 z) 1)) (/ 1 y)))) |
(+ x (* z (+ (* -1 (/ y t)) (* -1/2 (/ (* z (+ y (* -1 (pow y 2)))) t))))) |
(+ x (* 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))))))) |
(* y z) |
(* 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))))))) |
(* 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 (* 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)))) |
(* -1 z) |
(/ (* 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))) |
(+ 1 (* y z)) |
(+ 1 (* z (+ y (* 1/2 (* y z))))) |
(+ 1 (* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y)))))) |
(+ 1 z) |
(+ 1 (* z (+ 1 (* 1/2 z)))) |
(+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) |
(- (* y (exp z)) y) |
(log (- (+ 1 (* y (exp z))) y)) |
(* z (+ (* -1 (/ y t)) (/ x z))) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(- (+ 1 (* y (exp z))) y) |
(exp z) |
(* 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)))) |
(* -1 (* z (+ (* -1 (/ x z)) (/ y t)))) |
(* (pow z 2) (+ (* -1 (/ (- (* -1 y) (/ 1 z)) z)) (* 1/2 y))) |
(/ (+ (* -1 (log (- (+ 1 (* y (exp z))) y))) (* t x)) t) |
(/ -1 t) |
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) |
(/ (+ (* -1 (* y z)) (* t x)) t) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 26.0ms | y | @ | -inf | ((+ (* (/ -1 t) (log (+ 1 (+ (* (exp z) y) (neg y))))) x) (+ (* (exp z) y) (neg y)) (/ -1 t) (log (+ 1 (+ (* (exp z) y) (neg y)))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (neg z) (/ y t)) x) (neg 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))) (exp z) (+ (* (+ (* (* z y) 1/2) y) z) 1)) |
| 23.0ms | t | @ | 0 | ((+ (* (/ -1 t) (log (+ 1 (+ (* (exp z) y) (neg y))))) x) (+ (* (exp z) y) (neg y)) (/ -1 t) (log (+ 1 (+ (* (exp z) y) (neg y)))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (neg z) (/ y t)) x) (neg 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))) (exp z) (+ (* (+ (* (* z y) 1/2) y) z) 1)) |
| 12.0ms | t | @ | -inf | ((+ (* (/ -1 t) (log (+ 1 (+ (* (exp z) y) (neg y))))) x) (+ (* (exp z) y) (neg y)) (/ -1 t) (log (+ 1 (+ (* (exp z) y) (neg y)))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (neg z) (/ y t)) x) (neg 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))) (exp z) (+ (* (+ (* (* z y) 1/2) y) z) 1)) |
| 11.0ms | x | @ | inf | ((+ (* (/ -1 t) (log (+ 1 (+ (* (exp z) y) (neg y))))) x) (+ (* (exp z) y) (neg y)) (/ -1 t) (log (+ 1 (+ (* (exp z) y) (neg y)))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (neg z) (/ y t)) x) (neg 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))) (exp z) (+ (* (+ (* (* z y) 1/2) y) z) 1)) |
| 10.0ms | z | @ | -inf | ((+ (* (/ -1 t) (log (+ 1 (+ (* (exp z) y) (neg y))))) x) (+ (* (exp z) y) (neg y)) (/ -1 t) (log (+ 1 (+ (* (exp z) y) (neg y)))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (neg z) (/ y t)) x) (neg 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))) (exp z) (+ (* (+ (* (* z y) 1/2) y) z) 1)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 453 | 2251 |
| 1 | 1408 | 2103 |
| 2 | 4342 | 2080 |
| 0 | 9001 | 1747 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) |
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(* -1 (/ (* y z) t)) |
(+ x (* -1 (/ (* y z) t))) |
x |
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x))))) |
(* x (+ 1 (* -1 (/ (* y z) (* t x))))) |
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) |
(* -1 (* x (- (/ (* y z) (* t x)) 1))) |
(+ x (* -1 (/ (* y (- (exp z) 1)) t))) |
(+ x (* y (+ (* -1 (/ (- (exp z) 1) t)) (* 1/2 (/ (* y (pow (- (exp z) 1) 2)) t))))) |
(+ x (* 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 (- (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 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))) |
1 |
(+ 1 (* y (- (exp z) 1))) |
(+ 1 (* y (* z (+ 1 (* 1/2 z))))) |
(+ x (* -1 (/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t))) |
(- (+ x (* -1 (/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t))) (/ 1 (* t (* y (- (exp z) 1))))) |
(- (+ x (+ (* -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))))) |
(- (+ x (+ (* -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))))))) |
(+ (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))))) |
(* y (+ (* -1 (/ z t)) (/ x y))) |
(/ (+ (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)))))) |
(* y (- (+ (exp z) (/ 1 y)) 1)) |
(* y (* z (+ 1 (* 1/2 z)))) |
(* y (+ (* z (+ 1 (* 1/2 z))) (/ 1 y))) |
(+ x (* -1 (/ (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) t))) |
(+ x (+ (* -1 (/ (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) t)) (/ 1 (* t (* y (+ 1 (* -1 (exp z)))))))) |
(+ x (+ (* -1 (/ (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) t)) (+ (/ 1/2 (* t (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (* t (* y (+ 1 (* -1 (exp z))))))))) |
(+ x (+ (* -1 (/ (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) t)) (* -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 (* y (+ 1 (* -1 (exp z))))) |
(+ (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))) |
(* -1 (* y (+ (* -1 (/ x y)) (/ 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 (- (+ 1 (* -1 (exp z))) (/ 1 y)))) |
(* -1 (* y (* z (- (* -1/2 z) 1)))) |
(* -1 (* y (- (* z (- (* -1/2 z) 1)) (/ 1 y)))) |
(+ x (* z (+ (* -1 (/ y t)) (* -1/2 (/ (* z (+ y (* -1 (pow y 2)))) t))))) |
(+ x (* 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))))))) |
(* y z) |
(* 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))))))) |
(* 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 (* 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)))) |
(* -1 z) |
(/ (* 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))) |
(+ 1 (* y z)) |
(+ 1 (* z (+ y (* 1/2 (* y z))))) |
(+ 1 (* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y)))))) |
(+ 1 z) |
(+ 1 (* z (+ 1 (* 1/2 z)))) |
(+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) |
(- (* y (exp z)) y) |
(log (- (+ 1 (* y (exp z))) y)) |
(* z (+ (* -1 (/ y t)) (/ x z))) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(- (+ 1 (* y (exp z))) y) |
(exp z) |
(* 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)))) |
(* -1 (* z (+ (* -1 (/ x z)) (/ y t)))) |
(* (pow z 2) (+ (* -1 (/ (- (* -1 y) (/ 1 z)) z)) (* 1/2 y))) |
(/ (+ (* -1 (log (- (+ 1 (* y (exp z))) y))) (* t x)) t) |
(/ -1 t) |
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) |
(/ (+ (* -1 (* y z)) (* t x)) t) |
| Outputs |
|---|
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)) |
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(* -1 (/ (* y z) t)) |
(/.f64 (*.f64 (neg.f64 y) z) t) |
(+ x (* -1 (/ (* y z) t))) |
(fma.f64 (neg.f64 y) (/.f64 z t) x) |
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) |
(* x (+ 1 (* -1 (/ (* y z) (* t x))))) |
(*.f64 (fma.f64 (/.f64 (neg.f64 y) x) (/.f64 z t) #s(literal 1 binary64)) 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 (* x (- (/ (* y z) (* t x)) 1))) |
(*.f64 (fma.f64 (/.f64 (neg.f64 y) x) (/.f64 z t) #s(literal 1 binary64)) x) |
(+ x (* -1 (/ (* y (- (exp z) 1)) t))) |
(-.f64 x (/.f64 (*.f64 (expm1.f64 z) y) t)) |
(+ x (* y (+ (* -1 (/ (- (exp z) 1) t)) (* 1/2 (/ (* y (pow (- (exp z) 1) 2)) 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 (+ (* -1 (/ (- (exp z) 1) t)) (* y (+ (* -1/3 (/ (* y (pow (- (exp z) 1) 3)) t)) (* 1/2 (/ (pow (- (exp z) 1) 2) t))))))) |
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(*.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 (fma.f64 #s(literal 1/6 binary64) (*.f64 y z) (*.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 y z) (*.f64 #s(literal 1/6 binary64) y)) z (*.f64 #s(literal 1/2 binary64) y)) z y) 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) |
(+ 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 (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)) #s(literal -1/6 binary64) (*.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal -1/2 binary64))) z (/.f64 (neg.f64 y) t)) z x) |
(* -1 z) |
(neg.f64 z) |
(/ (* y z) t) |
(*.f64 (/.f64 z t) y) |
(* 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) |
(+ 1 (* y z)) |
(fma.f64 y z #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 (fma.f64 #s(literal 1/6 binary64) (*.f64 y z) (*.f64 #s(literal 1/2 binary64) y)) z y) z #s(literal 1 binary64)) |
(+ 1 z) |
(+.f64 #s(literal 1 binary64) z) |
(+ 1 (* z (+ 1 (* 1/2 z)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64)) |
(+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z #s(literal 1 binary64)) |
(- (* y (exp z)) y) |
(*.f64 (expm1.f64 z) y) |
(log (- (+ 1 (* y (exp z))) y)) |
(log1p.f64 (*.f64 (expm1.f64 z) y)) |
(* z (+ (* -1 (/ y t)) (/ x z))) |
(*.f64 (-.f64 (/.f64 x z) (/.f64 y t)) z) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(- (+ 1 (* y (exp z))) y) |
(fma.f64 (expm1.f64 z) y #s(literal 1 binary64)) |
(exp z) |
(exp.f64 z) |
(* 1/2 (* y (pow z 2))) |
(*.f64 (*.f64 (*.f64 z z) y) #s(literal 1/2 binary64)) |
(* (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)) |
(* -1 (* z (+ (* -1 (/ x z)) (/ y t)))) |
(*.f64 (-.f64 (/.f64 x z) (/.f64 y t)) z) |
(* (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) |
(/ (+ (* -1 (log (- (+ 1 (* y (exp z))) y))) (* t x)) t) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(/ -1 t) |
(/.f64 #s(literal -1 binary64) t) |
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(/ (+ (* -1 (* y z)) (* t x)) t) |
(fma.f64 (neg.f64 y) (/.f64 z t) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 263 |
| 0 | 70 | 263 |
| 1 | 291 | 228 |
| 2 | 2412 | 228 |
| 0 | 8584 | 216 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) x) |
(fma.f64 (exp.f64 z) y (neg.f64 y)) |
(/.f64 #s(literal -1 binary64) t) |
(log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 y t) x)) |
(fma.f64 (neg.f64 z) (/.f64 y t) x) |
(neg.f64 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)) |
(exp.f64 z) |
(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 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) #s(literal 2 binary64))) (pow.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) x) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) #s(literal 2 binary64)) (*.f64 x x)) (pow.f64 (-.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)) x) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) #s(literal 3 binary64))) (pow.f64 (fma.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) (+.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) x) (*.f64 x x)) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) #s(literal 3 binary64))) (pow.f64 (fma.f64 x (-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t))) (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) x) (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) (+.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) x) (*.f64 x x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)) x) (-.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) #s(literal 2 binary64)) (*.f64 x x))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 x (-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t))) (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) x)) (*.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) x) (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) #s(literal 2 binary64)))) (*.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) x) (+.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) x))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) (+.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) x) (*.f64 x x))) (*.f64 (fma.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) (+.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) x) (*.f64 x x)) (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) #s(literal 3 binary64)))) (*.f64 (fma.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) (+.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) x) (*.f64 x x)) (fma.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) (+.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) x) (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) #s(literal 2 binary64)) (-.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)) x)) (*.f64 (-.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)) x) (*.f64 x x))) (*.f64 (-.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)) x) (-.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)) x))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) (+.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) x) (*.f64 x x)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t))) (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)) x))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) #s(literal 2 binary64))) (-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) #s(literal 2 binary64))) (+.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) x)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)) x)) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) #s(literal 2 binary64)) (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)) x)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) #s(literal 3 binary64))) (fma.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) (+.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) x) (*.f64 x x))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) #s(literal 3 binary64))) (fma.f64 x (-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t))) (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) x) (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) (+.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) x) (*.f64 x x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)) x) (-.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) #s(literal 2 binary64)) (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t))) (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) #s(literal 3 binary64))))) |
(fma.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) (pow.f64 t #s(literal -1 binary64)) x) |
(fma.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (/.f64 #s(literal -1 binary64) t) x) |
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 (expm1.f64 z) y)) x) |
(fma.f64 #s(literal -1 binary64) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) x) |
(-.f64 (/.f64 (*.f64 x x) (+.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) x)) (/.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) #s(literal 2 binary64)) (+.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) x))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) (+.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) x) (*.f64 x x))) (/.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) #s(literal 3 binary64)) (fma.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) (+.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) x) (*.f64 x x)))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) #s(literal 2 binary64)) (-.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)) x)) (/.f64 (*.f64 x x) (-.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)) x))) |
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(pow.f64 (/.f64 (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y)))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))))) (neg.f64 (neg.f64 t))) |
(/.f64 (*.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))) #s(literal 1 binary64)) t) |
(/.f64 (neg.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y)))) (neg.f64 t)) |
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))) t) |
(/.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))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.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))) |
(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 #s(literal 1 binary64) (exp.f64 z)) |
(*.f64 (exp.f64 z) #s(literal 1 binary64)) |
(exp.f64 z) |
(*.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y z) y) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y z) y) z #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y z) 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 y z) y) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y z) y) z)) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y z) y) z #s(literal -1 binary64)) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y z) 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 y z) y) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y z) y) z)) (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y z) y) z) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y z) y) z) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y z) y) z #s(literal -1 binary64))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y z) y) z #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y z) y) z #s(literal -1 binary64)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y z) y) z #s(literal -1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y z) y) z) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y z) y) z))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y z) y) z) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y z) y) z #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y z) 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 y z) y) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y z) y) z)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y z) y) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y z) y) z #s(literal -1 binary64))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y z) 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 y z) y) z) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y z) y) z)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y z) y) z) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y z) y) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y z) y) z))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y z) y) z #s(literal -1 binary64)) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y z) 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 y z) y) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y z) y) z)) (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y z) y) z) #s(literal 3 binary64)) #s(literal 1 binary64)))) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y z) y) z) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y z) y) (*.f64 z #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y z) y) z #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y z) y) z) #s(literal 1 binary64)) |
(fma.f64 z (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y z) y) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 y z) y) #s(literal 1 binary64)) |
(-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y z) y) z) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y z) y) z #s(literal -1 binary64))) (pow.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y z) y) z #s(literal -1 binary64)) #s(literal -1 binary64))) |
(+.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y z) y) z) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y z) y) z)) |
Compiled 13 279 to 1 540 computations (88.4% saved)
32 alts after pruning (29 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 390 | 19 | 409 |
| Fresh | 3 | 10 | 13 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 395 | 32 | 427 |
| Status | Accuracy | Program |
|---|---|---|
| 85.3% | (fma.f64 (/.f64 #s(literal -1 binary64) t) (-.f64 (log1p.f64 (pow.f64 (*.f64 (expm1.f64 z) y) #s(literal 3 binary64))) (log1p.f64 (-.f64 (pow.f64 (*.f64 (expm1.f64 z) y) #s(literal 2 binary64)) (*.f64 (expm1.f64 z) y)))) x) | |
| ▶ | 63.3% | (fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (fma.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) y (neg.f64 y))) x) |
| ▶ | 97.7% | (fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 (expm1.f64 z) y)) x) |
| 71.0% | (fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 #s(approx (+ (* (exp z) y) (neg y)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y z) (*.f64 #s(literal 1/6 binary64) y)) z (*.f64 #s(literal 1/2 binary64) y)) z y) z))) x) | |
| 72.8% | (fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 #s(approx (+ (* (exp z) y) (neg y)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y))) x) | |
| 79.1% | (fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 #s(approx (+ (* (exp z) y) (neg y)) (*.f64 y z))) x) | |
| 34.5% | (/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y z) y) z #s(literal 1 binary64))))) #s(literal -2 binary64))) (+.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y z) y) z #s(literal 1 binary64)))) t) x)) | |
| 19.6% | (/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y)))) #s(literal -2 binary64))) (+.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))) t) x)) | |
| 81.8% | (-.f64 x (/.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)))) | |
| 63.2% | (-.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)) | |
| 69.8% | (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t)) | |
| ✓ | 35.9% | (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))) t)) |
| 24.1% | (-.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)) | |
| 11.8% | (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* (* z y) 1/2) y) z) 1) (*.f64 (*.f64 (*.f64 z z) y) #s(literal 1/2 binary64))))) t)) | |
| ✓ | 67.6% | (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t)) |
| 11.5% | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (+.f64 (log.f64 y) (log.f64 (expm1.f64 z)))) t)) | |
| 51.7% | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.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)) t)) | |
| ▶ | 54.1% | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.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)) t)) |
| 57.6% | (-.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)) | |
| 80.6% | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t)) | |
| 35.8% | (-.f64 x (*.f64 (pow.f64 t #s(literal -1 binary64)) (pow.f64 (pow.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))) #s(literal -1 binary64)) #s(literal -1 binary64)))) | |
| 81.7% | (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))) | |
| 71.1% | (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 z t) y))) | |
| 69.6% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (*.f64 (neg.f64 z) y) (pow.f64 t #s(literal -1 binary64)) x)) | |
| 51.9% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 t)) (*.f64 (neg.f64 t) y)) (*.f64 t t)) x)) | |
| ✓ | 70.1% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 y t) x)) |
| 70.1% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (/.f64 t y)) x)) | |
| 70.1% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) x)) | |
| 71.1% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 y (*.f64 (pow.f64 t #s(literal -1 binary64)) (neg.f64 z)) x)) | |
| ▶ | 32.8% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t))) |
| ▶ | 13.1% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (*.f64 (neg.f64 y) z) t))) |
| 67.1% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (fma.f64 (/.f64 (neg.f64 y) x) (/.f64 z t) #s(literal 1 binary64)) x))) |
Compiled 1 598 to 1 165 computations (27.1% 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 | (fma.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) y (neg.f64 y)) | |
| cost-diff | 0 | (log1p.f64 (fma.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) y (neg.f64 y))) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) t) | |
| cost-diff | 192 | (fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (fma.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) y (neg.f64 y))) x) | |
| cost-diff | 0 | (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.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)) t) | |
| cost-diff | 0 | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.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)) t)) | |
| cost-diff | 128 | (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) | |
| cost-diff | 320 | (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))) | |
| cost-diff | 0 | (*.f64 (neg.f64 y) z) | |
| cost-diff | 0 | (/.f64 (*.f64 (neg.f64 y) z) t) | |
| cost-diff | 0 | #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (*.f64 (neg.f64 y) z) t)) | |
| cost-diff | 0 | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (*.f64 (neg.f64 y) z) t))) | |
| cost-diff | 0 | (*.f64 (expm1.f64 z) y) | |
| cost-diff | 0 | (log1p.f64 (*.f64 (expm1.f64 z) y)) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) t) | |
| cost-diff | 192 | (fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 (expm1.f64 z) y)) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 51 | 409 |
| 0 | 85 | 409 |
| 1 | 165 | 407 |
| 2 | 389 | 386 |
| 3 | 933 | 385 |
| 4 | 2387 | 385 |
| 5 | 6412 | 385 |
| 0 | 8412 | 366 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 (expm1.f64 z) y)) x) |
(/.f64 #s(literal -1 binary64) t) |
#s(literal -1 binary64) |
t |
(log1p.f64 (*.f64 (expm1.f64 z) y)) |
(*.f64 (expm1.f64 z) y) |
(expm1.f64 z) |
z |
y |
x |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (*.f64 (neg.f64 y) z) t))) |
#s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (*.f64 (neg.f64 y) z) t)) |
(/.f64 (*.f64 (neg.f64 y) z) t) |
(*.f64 (neg.f64 y) z) |
(neg.f64 y) |
y |
z |
t |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.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)) t)) |
x |
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.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)) t) |
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.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)) |
(*.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) |
(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) |
(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))) |
(*.f64 #s(literal 1/6 binary64) z) |
#s(literal 1/6 binary64) |
z |
(fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) |
(*.f64 y y) |
y |
(fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) |
#s(literal 2 binary64) |
#s(literal -3 binary64) |
(*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) |
(-.f64 y (*.f64 y y)) |
#s(literal 1/2 binary64) |
t |
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (fma.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) y (neg.f64 y))) x) |
(/.f64 #s(literal -1 binary64) t) |
#s(literal -1 binary64) |
t |
(log1p.f64 (fma.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) y (neg.f64 y))) |
(fma.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) y (neg.f64 y)) |
#s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) |
(+.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
z |
y |
(neg.f64 y) |
x |
#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 |
|---|
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 (expm1.f64 z) y)) x) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) |
(/.f64 #s(literal -1 binary64) t) |
#s(literal -1 binary64) |
t |
(log1p.f64 (*.f64 (expm1.f64 z) y)) |
(log1p.f64 (*.f64 y (expm1.f64 z))) |
(*.f64 (expm1.f64 z) y) |
(*.f64 y (expm1.f64 z)) |
(expm1.f64 z) |
z |
y |
x |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (*.f64 (neg.f64 y) z) t))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 (neg.f64 z) t) y))) |
#s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (*.f64 (neg.f64 y) z) t)) |
#s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 (neg.f64 z) t) y)) |
(/.f64 (*.f64 (neg.f64 y) z) t) |
(*.f64 (/.f64 (neg.f64 z) t) y) |
(*.f64 (neg.f64 y) z) |
(neg.f64 y) |
y |
z |
t |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.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)) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) y (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y #s(literal 1 binary64)) (*.f64 #s(literal 1/6 binary64) z) #s(literal 1/2 binary64)))) z y) z)) t)) |
x |
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.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)) t) |
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) y (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y #s(literal 1 binary64)) (*.f64 #s(literal 1/6 binary64) z) #s(literal 1/2 binary64)))) z y) z)) t) |
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.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)) |
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) y (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y #s(literal 1 binary64)) (*.f64 #s(literal 1/6 binary64) z) #s(literal 1/2 binary64)))) z y) z)) |
(*.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) |
(*.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) y (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y #s(literal 1 binary64)) (*.f64 #s(literal 1/6 binary64) z) #s(literal 1/2 binary64)))) z y) z) |
(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) |
(fma.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) y (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y #s(literal 1 binary64)) (*.f64 #s(literal 1/6 binary64) z) #s(literal 1/2 binary64)))) z y) |
(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))) |
(*.f64 y (fma.f64 #s(literal -1/2 binary64) y (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y #s(literal 1 binary64)) (*.f64 #s(literal 1/6 binary64) z) #s(literal 1/2 binary64)))) |
(*.f64 #s(literal 1/6 binary64) z) |
#s(literal 1/6 binary64) |
z |
(fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) |
(fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) |
(*.f64 y y) |
y |
(fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) |
#s(literal 2 binary64) |
#s(literal -3 binary64) |
(*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) |
(-.f64 y (*.f64 y y)) |
(*.f64 (-.f64 #s(literal 1 binary64) y) y) |
#s(literal 1/2 binary64) |
t |
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (fma.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) y (neg.f64 y))) x) |
(-.f64 x (/.f64 (log1p.f64 (fma.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) y (neg.f64 y))) t)) |
(/.f64 #s(literal -1 binary64) t) |
#s(literal -1 binary64) |
t |
(log1p.f64 (fma.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) y (neg.f64 y))) |
(fma.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) y (neg.f64 y)) |
#s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) |
(+.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
z |
y |
(neg.f64 y) |
x |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t))) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)) |
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)) |
(log1p.f64 (*.f64 (expm1.f64 z) y)) |
(log1p.f64 (*.f64 y (expm1.f64 z))) |
(*.f64 (expm1.f64 z) y) |
(*.f64 y (expm1.f64 z)) |
(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 | 0.4918849333909695 | (log1p.f64 (*.f64 (expm1.f64 z) y)) | |
| accuracy | 3.710316661872866 | (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)) | |
| accuracy | 41.9396196755252 | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t))) | |
| accuracy | 0.4918849333909695 | (log1p.f64 (fma.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) y (neg.f64 y))) | |
| accuracy | 1.030670443622821 | (fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (fma.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) y (neg.f64 y))) x) | |
| accuracy | 20.85855115089257 | #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) | |
| accuracy | 27.274131619468825 | (fma.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) y (neg.f64 y)) | |
| accuracy | 3.6510202768245725 | (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) | |
| accuracy | 3.710316661872866 | (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.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)) t) | |
| accuracy | 10.4289359304397 | (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))) | |
| accuracy | 27.20459499934501 | #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.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)) | |
| accuracy | 0 | (neg.f64 y) | |
| accuracy | 4.927054082963102 | (/.f64 (*.f64 (neg.f64 y) z) t) | |
| accuracy | 17.765160997904566 | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (*.f64 (neg.f64 y) z) t))) | |
| accuracy | 37.67164262707464 | #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (*.f64 (neg.f64 y) z) t)) | |
| accuracy | 0 | (expm1.f64 z) | |
| accuracy | 0.00390625 | (*.f64 (expm1.f64 z) y) | |
| accuracy | 0.4918849333909695 | (log1p.f64 (*.f64 (expm1.f64 z) y)) | |
| accuracy | 1.030670443622821 | (fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 (expm1.f64 z) y)) x) |
| 358.0ms | 163× | 1 | valid |
| 172.0ms | 51× | 2 | valid |
| 19.0ms | 42× | 0 | valid |
Compiled 741 to 105 computations (85.8% saved)
ival-exp: 142.0ms (28.2% of total)ival-mult: 88.0ms (17.5% of total)ival-log: 81.0ms (16.1% of total)adjust: 76.0ms (15.1% of total)ival-expm1: 33.0ms (6.5% of total)ival-log1p: 32.0ms (6.3% of total)ival-add: 18.0ms (3.6% of total)ival-div: 14.0ms (2.8% of total)ival-sub: 11.0ms (2.2% of total)const: 5.0ms (1% of total)ival-neg: 3.0ms (0.6% of total)exact: 1.0ms (0.2% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 (expm1.f64 z) y)) x) |
(/.f64 #s(literal -1 binary64) t) |
(log1p.f64 (*.f64 (expm1.f64 z) y)) |
(*.f64 (expm1.f64 z) y) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (*.f64 (neg.f64 y) z) t))) |
#s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (*.f64 (neg.f64 y) z) t)) |
(/.f64 (*.f64 (neg.f64 y) z) t) |
(*.f64 (neg.f64 y) z) |
(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))) |
(*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.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)) t)) |
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.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)) t) |
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (fma.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) y (neg.f64 y))) x) |
(log1p.f64 (fma.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) y (neg.f64 y))) |
(fma.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) y (neg.f64 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)) |
(expm1.f64 z) |
(neg.f64 y) |
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.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)) |
(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) |
#s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) |
| Outputs |
|---|
(* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t)) |
(+ x (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t))) |
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(* -1 (/ (* y z) t)) |
(+ x (* -1 (/ (* y z) t))) |
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) |
x |
(* x (+ 1 (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) (* t x))))) |
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x))))) |
(* x (+ 1 (* -1 (/ (* y z) (* t x))))) |
(* -1 (* x (- (/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)) 1))) |
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) |
(* -1 (* x (- (/ (* y z) (* t x)) 1))) |
(+ x (* -1 (/ (* y (- (exp z) 1)) t))) |
(+ x (* y (+ (* -1 (/ (- (exp z) 1) t)) (* 1/2 (/ (* y (pow (- (exp z) 1) 2)) t))))) |
(+ x (* 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 (- (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)))) |
(* -1 (* y z)) |
(* y (+ 1/2 (* 1/6 z))) |
(* y (+ 1/2 (+ (* 1/6 z) (* y (- (* -1/2 z) 1/2))))) |
(* y (+ 1/2 (+ (* 1/6 z) (* y (- (+ (* -1/2 z) (* 1/3 (* y z))) 1/2))))) |
(* 1/2 y) |
(* y (+ 1/2 (* -1/2 y))) |
(/ (* 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))) |
(* -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) |
(* y (+ 1 (* z (+ 1/2 (* 1/6 z))))) |
(* y (+ 1 (+ (* y (* z (- (* -1/2 z) 1/2))) (* z (+ 1/2 (* 1/6 z)))))) |
(* y (+ 1 (+ (* y (+ (* 1/3 (* y (pow z 2))) (* z (- (* -1/2 z) 1/2)))) (* z (+ 1/2 (* 1/6 z)))))) |
(+ x (* -1 (/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t))) |
(- (+ x (* -1 (/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t))) (/ 1 (* t (* y (- (exp z) 1))))) |
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(- (+ 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))))) |
(* y (+ (* -1 (/ z t)) (/ x y))) |
(* 1/3 (* (pow y 3) z)) |
(* (pow y 3) (- (+ (* -1/2 (/ z y)) (* 1/3 z)) (* 1/2 (/ 1 y)))) |
(* (pow y 3) (- (+ (* -1/2 (/ z y)) (+ (* 1/6 (/ z (pow y 2))) (+ (* 1/3 z) (/ 1/2 (pow y 2))))) (* 1/2 (/ 1 y)))) |
(* -1/2 (pow y 2)) |
(* (pow y 2) (- (* 1/2 (/ 1 y)) 1/2)) |
(/ (+ (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))) |
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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 (/ (+ (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))) |
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(* -1 (* (pow y 3) (+ (* -1 (/ (* z (- (* -1/2 z) 1/2)) y)) (* -1/3 (pow z 2))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (- (* z (- (* -1/6 z) 1/2)) 1) y)) (* z (- (* -1/2 z) 1/2))) y)) (* -1/3 (pow z 2))))) |
(+ x (* z (+ (* -1 (/ y t)) (* -1/2 (/ (* z (+ y (* -1 (pow y 2)))) t))))) |
(+ x (* 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))))))) |
(* y z) |
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(* 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))))))) |
(+ 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)))) |
(* 1/2 (- y (pow y 2))) |
(+ (* 1/6 (* z (+ y (* (pow y 2) (- (* 2 y) 3))))) (* 1/2 (- y (pow y 2)))) |
(/ (* 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))) |
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(* 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)))))))) |
z |
(* z (+ 1 (* 1/2 z))) |
(* z (+ 1 (* z (+ 1/2 (* 1/6 z))))) |
(* z (+ 1 (* z (+ 1/2 (* z (+ 1/6 (* 1/24 z))))))) |
y |
(+ y (* 1/2 (* z (- y (pow y 2))))) |
(+ y (* z (+ (* 1/6 (* z (+ y (* (pow y 2) (- (* 2 y) 3))))) (* 1/2 (- y (pow y 2)))))) |
1 |
(+ 1 z) |
(+ 1 (* z (+ 1 (* 1/2 z)))) |
(+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) |
(log (+ 1 (* y (- (exp z) 1)))) |
(* z (+ (* -1 (/ y t)) (/ x z))) |
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(* z (+ (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))) (* 1/2 (/ (- y (pow y 2)) z)))) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(log (- (+ 1 (* y (exp z))) y)) |
(- (* y (exp z)) y) |
(- (exp z) 1) |
(* 1/6 (* (pow z 2) (+ y (* (pow y 2) (- (* 2 y) 3))))) |
(* (pow z 2) (+ (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))) (* 1/2 (/ (- y (pow y 2)) z)))) |
(* (pow z 2) (+ (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))) (+ (* 1/2 (/ (- y (pow y 2)) z)) (/ y (pow z 2))))) |
(exp z) |
(* -1 (* z (+ (* -1 (/ x z)) (/ y t)))) |
(* -1 (* z (+ (* -1/2 (/ (- y (pow y 2)) z)) (* -1/6 (+ y (* (pow y 2) (- (* 2 y) 3))))))) |
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (/ y z)) (* -1/2 (- y (pow y 2)))) z)) (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))))) |
(/ (+ (* -1 (log (+ 1 (* y (- (exp z) 1))))) (* t x)) t) |
(/ -1 t) |
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) |
(/ (+ (* -1 (* y z)) (* t x)) t) |
(/ (+ (* -1 (log (- (+ 1 (* y (exp z))) y))) (* t x)) t) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 58.0ms | z | @ | -inf | ((+ (* (/ -1 t) (log (+ 1 (* (- (exp z) 1) y)))) x) (/ -1 t) (log (+ 1 (* (- (exp z) 1) y))) (* (- (exp z) 1) y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (neg z) (/ y t)) x) (/ (* (neg y) z) t) (* (neg y) z) (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (* (- y (* y y)) 1/2) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (+ (* (/ -1 t) (log (+ 1 (+ (* (exp z) y) (neg y))))) x) (log (+ 1 (+ (* (exp z) y) (neg y)))) (+ (* (exp z) y) (neg y)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (- (exp z) 1) (neg y) (log (+ (- 1 y) (* y (exp z)))) (+ (* (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) z) y) (exp z)) |
| 36.0ms | t | @ | inf | ((+ (* (/ -1 t) (log (+ 1 (* (- (exp z) 1) y)))) x) (/ -1 t) (log (+ 1 (* (- (exp z) 1) y))) (* (- (exp z) 1) y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (neg z) (/ y t)) x) (/ (* (neg y) z) t) (* (neg y) z) (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (* (- y (* y y)) 1/2) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (+ (* (/ -1 t) (log (+ 1 (+ (* (exp z) y) (neg y))))) x) (log (+ 1 (+ (* (exp z) y) (neg y)))) (+ (* (exp z) y) (neg y)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (- (exp z) 1) (neg y) (log (+ (- 1 y) (* y (exp z)))) (+ (* (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) z) y) (exp z)) |
| 33.0ms | t | @ | -inf | ((+ (* (/ -1 t) (log (+ 1 (* (- (exp z) 1) y)))) x) (/ -1 t) (log (+ 1 (* (- (exp z) 1) y))) (* (- (exp z) 1) y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (neg z) (/ y t)) x) (/ (* (neg y) z) t) (* (neg y) z) (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (* (- y (* y y)) 1/2) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (+ (* (/ -1 t) (log (+ 1 (+ (* (exp z) y) (neg y))))) x) (log (+ 1 (+ (* (exp z) y) (neg y)))) (+ (* (exp z) y) (neg y)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (- (exp z) 1) (neg y) (log (+ (- 1 y) (* y (exp z)))) (+ (* (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) z) y) (exp z)) |
| 30.0ms | x | @ | 0 | ((+ (* (/ -1 t) (log (+ 1 (* (- (exp z) 1) y)))) x) (/ -1 t) (log (+ 1 (* (- (exp z) 1) y))) (* (- (exp z) 1) y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (neg z) (/ y t)) x) (/ (* (neg y) z) t) (* (neg y) z) (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (* (- y (* y y)) 1/2) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (+ (* (/ -1 t) (log (+ 1 (+ (* (exp z) y) (neg y))))) x) (log (+ 1 (+ (* (exp z) y) (neg y)))) (+ (* (exp z) y) (neg y)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (- (exp z) 1) (neg y) (log (+ (- 1 y) (* y (exp z)))) (+ (* (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) z) y) (exp z)) |
| 28.0ms | y | @ | 0 | ((+ (* (/ -1 t) (log (+ 1 (* (- (exp z) 1) y)))) x) (/ -1 t) (log (+ 1 (* (- (exp z) 1) y))) (* (- (exp z) 1) y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (neg z) (/ y t)) x) (/ (* (neg y) z) t) (* (neg y) z) (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (* (- y (* y y)) 1/2) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (+ (* (/ -1 t) (log (+ 1 (+ (* (exp z) y) (neg y))))) x) (log (+ 1 (+ (* (exp z) y) (neg y)))) (+ (* (exp z) y) (neg y)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (- (exp z) 1) (neg y) (log (+ (- 1 y) (* y (exp z)))) (+ (* (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) z) y) (exp z)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 645 | 3561 |
| 1 | 2070 | 3334 |
| 2 | 6568 | 3308 |
| 0 | 8159 | 2795 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t)) |
(+ x (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t))) |
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(* -1 (/ (* y z) t)) |
(+ x (* -1 (/ (* y z) t))) |
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) |
x |
(* x (+ 1 (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) (* t x))))) |
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x))))) |
(* x (+ 1 (* -1 (/ (* y z) (* t x))))) |
(* -1 (* x (- (/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)) 1))) |
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) |
(* -1 (* x (- (/ (* y z) (* t x)) 1))) |
(+ x (* -1 (/ (* y (- (exp z) 1)) t))) |
(+ x (* y (+ (* -1 (/ (- (exp z) 1) t)) (* 1/2 (/ (* y (pow (- (exp z) 1) 2)) t))))) |
(+ x (* 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 (- (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)))) |
(* -1 (* y z)) |
(* y (+ 1/2 (* 1/6 z))) |
(* y (+ 1/2 (+ (* 1/6 z) (* y (- (* -1/2 z) 1/2))))) |
(* y (+ 1/2 (+ (* 1/6 z) (* y (- (+ (* -1/2 z) (* 1/3 (* y z))) 1/2))))) |
(* 1/2 y) |
(* y (+ 1/2 (* -1/2 y))) |
(/ (* 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))) |
(* -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) |
(* y (+ 1 (* z (+ 1/2 (* 1/6 z))))) |
(* y (+ 1 (+ (* y (* z (- (* -1/2 z) 1/2))) (* z (+ 1/2 (* 1/6 z)))))) |
(* y (+ 1 (+ (* y (+ (* 1/3 (* y (pow z 2))) (* z (- (* -1/2 z) 1/2)))) (* z (+ 1/2 (* 1/6 z)))))) |
(+ x (* -1 (/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t))) |
(- (+ x (* -1 (/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t))) (/ 1 (* t (* y (- (exp z) 1))))) |
(- (+ x (+ (* -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))))) |
(- (+ x (+ (* -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))))))) |
(+ (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))))) |
(* y (+ (* -1 (/ z t)) (/ x y))) |
(* 1/3 (* (pow y 3) z)) |
(* (pow y 3) (- (+ (* -1/2 (/ z y)) (* 1/3 z)) (* 1/2 (/ 1 y)))) |
(* (pow y 3) (- (+ (* -1/2 (/ z y)) (+ (* 1/6 (/ z (pow y 2))) (+ (* 1/3 z) (/ 1/2 (pow y 2))))) (* 1/2 (/ 1 y)))) |
(* -1/2 (pow y 2)) |
(* (pow y 2) (- (* 1/2 (/ 1 y)) 1/2)) |
(/ (+ (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 (/ (+ (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))))))) |
(* 1/3 (* (pow y 3) (pow z 2))) |
(* (pow y 3) (+ (* 1/3 (pow z 2)) (/ (* z (- (* -1/2 z) 1/2)) y))) |
(* (pow y 3) (+ (* 1/3 (pow z 2)) (+ (/ 1 (pow y 2)) (+ (/ (* z (+ 1/2 (* 1/6 z))) (pow y 2)) (/ (* z (- (* -1/2 z) 1/2)) y))))) |
(+ x (* -1 (/ (+ (log (* -1 (- (exp z) 1))) (* -1 (log (/ -1 y)))) t))) |
(- (+ x (* -1 (/ (+ (log (* -1 (- (exp z) 1))) (* -1 (log (/ -1 y)))) t))) (/ 1 (* t (* y (- (exp z) 1))))) |
(+ x (+ (* -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)))) |
(+ x (+ (* -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)))) |
(- 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))) |
(* -1 (* y (+ (* -1 (/ x y)) (/ z t)))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (- (* -1/2 z) 1/2) y)) (* -1/3 z)))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/6 z) 1/2) y)) (* -1/2 z)) 1/2) y)) (* -1/3 z)))) |
(/ (+ (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))) |
(+ x (* -1 (/ (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) t))) |
(+ x (+ (* -1 (/ (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) t)) (/ 1 (* t (* y (+ 1 (* -1 (exp z)))))))) |
(+ x (+ (* -1 (/ (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) t)) (+ (/ 1/2 (* t (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (* t (* y (+ 1 (* -1 (exp z))))))))) |
(+ x (+ (* -1 (/ (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) t)) (* -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)))) |
(+ (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 (/ (+ (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))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (* z (- (* -1/2 z) 1/2)) y)) (* -1/3 (pow z 2))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (- (* z (- (* -1/6 z) 1/2)) 1) y)) (* z (- (* -1/2 z) 1/2))) y)) (* -1/3 (pow z 2))))) |
(+ x (* z (+ (* -1 (/ y t)) (* -1/2 (/ (* z (+ y (* -1 (pow y 2)))) t))))) |
(+ x (* 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))))))) |
(* 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))))))) |
(+ 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)))) |
(* 1/2 (- y (pow y 2))) |
(+ (* 1/6 (* z (+ y (* (pow y 2) (- (* 2 y) 3))))) (* 1/2 (- y (pow y 2)))) |
(/ (* 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))) |
(* 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)))))))) |
z |
(* z (+ 1 (* 1/2 z))) |
(* z (+ 1 (* z (+ 1/2 (* 1/6 z))))) |
(* z (+ 1 (* z (+ 1/2 (* z (+ 1/6 (* 1/24 z))))))) |
y |
(+ y (* 1/2 (* z (- y (pow y 2))))) |
(+ y (* z (+ (* 1/6 (* z (+ y (* (pow y 2) (- (* 2 y) 3))))) (* 1/2 (- y (pow y 2)))))) |
1 |
(+ 1 z) |
(+ 1 (* z (+ 1 (* 1/2 z)))) |
(+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) |
(log (+ 1 (* y (- (exp z) 1)))) |
(* z (+ (* -1 (/ y t)) (/ x z))) |
(* 1/6 (* z (+ y (* (pow y 2) (- (* 2 y) 3))))) |
(* z (+ (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))) (* 1/2 (/ (- y (pow y 2)) z)))) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(log (- (+ 1 (* y (exp z))) y)) |
(- (* y (exp z)) y) |
(- (exp z) 1) |
(* 1/6 (* (pow z 2) (+ y (* (pow y 2) (- (* 2 y) 3))))) |
(* (pow z 2) (+ (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))) (* 1/2 (/ (- y (pow y 2)) z)))) |
(* (pow z 2) (+ (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))) (+ (* 1/2 (/ (- y (pow y 2)) z)) (/ y (pow z 2))))) |
(exp z) |
(* -1 (* z (+ (* -1 (/ x z)) (/ y t)))) |
(* -1 (* z (+ (* -1/2 (/ (- y (pow y 2)) z)) (* -1/6 (+ y (* (pow y 2) (- (* 2 y) 3))))))) |
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (/ y z)) (* -1/2 (- y (pow y 2)))) z)) (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))))) |
(/ (+ (* -1 (log (+ 1 (* y (- (exp z) 1))))) (* t x)) t) |
(/ -1 t) |
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) |
(/ (+ (* -1 (* y z)) (* t x)) t) |
(/ (+ (* -1 (log (- (+ 1 (* y (exp z))) y))) (* t x)) t) |
| Outputs |
|---|
(* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t)) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)) |
(+ x (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t))) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(* -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)) |
(* -1 (/ (* y z) t)) |
(*.f64 (neg.f64 z) (/.f64 y t)) |
(+ x (* -1 (/ (* y z) t))) |
(fma.f64 (neg.f64 z) (/.f64 y t) x) |
(+ x (* -1 (/ (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) 1)))) (* t x))))) |
(fma.f64 (/.f64 x x) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 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) |
(* x (+ 1 (* -1 (/ (* y z) (* t x))))) |
(fma.f64 (neg.f64 x) (*.f64 (/.f64 y x) (/.f64 z t)) x) |
(* -1 (* x (- (/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)) 1))) |
(neg.f64 (fma.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 x t)) x (neg.f64 x))) |
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) |
(neg.f64 (fma.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 x t)) x (neg.f64 x))) |
(* -1 (* x (- (/ (* y z) (* t x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 y x) (/.f64 z t) #s(literal -1 binary64))) |
(+ x (* -1 (/ (* y (- (exp z) 1)) t))) |
(fma.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t) x) |
(+ x (* y (+ (* -1 (/ (- (exp z) 1) t)) (* 1/2 (/ (* y (pow (- (exp z) 1) 2)) 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 (+ (* -1 (/ (- (exp z) 1) t)) (* y (+ (* -1/3 (/ (* y (pow (- (exp z) 1) 3)) t)) (* 1/2 (/ (pow (- (exp z) 1) 2) 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)) |
(*.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) |
(+ 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) |
(* -1 (* y z)) |
(*.f64 (neg.f64 z) y) |
(* y (+ 1/2 (* 1/6 z))) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y) |
(* y (+ 1/2 (+ (* 1/6 z) (* y (- (* -1/2 z) 1/2))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) y) |
(* y (+ 1/2 (+ (* 1/6 z) (* y (- (+ (* -1/2 z) (* 1/3 (* y z))) 1/2))))) |
(*.f64 (fma.f64 (fma.f64 z (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) y) |
(* 1/2 y) |
(*.f64 #s(literal 1/2 binary64) y) |
(* y (+ 1/2 (* -1/2 y))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) |
(/ (* 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) (/.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) t)) y (/.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 #s(literal -1/2 binary64) (/.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) t))) 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))) |
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(/.f64 (fma.f64 (neg.f64 z) y (*.f64 x t)) t) |
(/ (+ (* -1 (log (- (+ 1 (* y (exp z))) y))) (* t x)) t) |
(/.f64 (-.f64 (*.f64 x t) (log1p.f64 (*.f64 (expm1.f64 z) y))) t) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 51 | 314 |
| 0 | 85 | 314 |
| 1 | 381 | 311 |
| 2 | 3318 | 311 |
| 0 | 8883 | 306 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 (expm1.f64 z) y)) x) |
(/.f64 #s(literal -1 binary64) t) |
(log1p.f64 (*.f64 (expm1.f64 z) y)) |
(*.f64 (expm1.f64 z) y) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (*.f64 (neg.f64 y) z) t))) |
#s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (*.f64 (neg.f64 y) z) t)) |
(/.f64 (*.f64 (neg.f64 y) z) t) |
(*.f64 (neg.f64 y) z) |
(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))) |
(*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.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)) t)) |
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.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)) t) |
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (fma.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) y (neg.f64 y))) x) |
(log1p.f64 (fma.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) y (neg.f64 y))) |
(fma.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) y (neg.f64 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)) |
(expm1.f64 z) |
(neg.f64 y) |
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.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)) |
(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) |
#s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) |
| Outputs |
|---|
(*.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) #s(literal 2 binary64)) (*.f64 x x)) (pow.f64 (-.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)) x) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 x (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t))) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (-.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)) x) (-.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) #s(literal 2 binary64)) (*.f64 x x))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 x (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t))) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) #s(literal 2 binary64))) (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)) x))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t))) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)) x)) |
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) #s(literal 2 binary64)) (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)) x)))) |
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t))) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)) x) (-.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) #s(literal 2 binary64)) (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t))) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
(fma.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (pow.f64 t #s(literal -1 binary64)) x) |
(fma.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)) x) |
(fma.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (/.f64 #s(literal -1 binary64) t) x) |
(fma.f64 (/.f64 #s(literal -1 binary64) t) (pow.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) #s(literal -1 binary64)) #s(literal -1 binary64)) x) |
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 y (expm1.f64 z))) x) |
(fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 t #s(literal -1 binary64)) (log1p.f64 (*.f64 y (expm1.f64 z)))) x) |
(fma.f64 #s(literal -1 binary64) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x) |
(-.f64 (/.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) #s(literal 2 binary64)) (-.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)) x)) (/.f64 (*.f64 x x) (-.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)) x))) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) |
(+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)) x) |
(+.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t))) |
(*.f64 (pow.f64 t #s(literal -1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) t)) |
(*.f64 #s(literal -1 binary64) (pow.f64 t #s(literal -1 binary64))) |
(pow.f64 (neg.f64 t) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (neg.f64 t)) |
(/.f64 #s(literal -1 binary64) t) |
(neg.f64 (pow.f64 t #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 t)) #s(literal -1 binary64))) |
(log1p.f64 (*.f64 y (expm1.f64 z))) |
(neg.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 z))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 z)) #s(literal 2 binary64)))))) |
(neg.f64 (log.f64 (/.f64 (fma.f64 (*.f64 y (expm1.f64 z)) (-.f64 (*.f64 y (expm1.f64 z)) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (*.f64 y (expm1.f64 z)) #s(literal 3 binary64)) #s(literal 1 binary64))))) |
(-.f64 (log.f64 (-.f64 (pow.f64 (*.f64 y (expm1.f64 z)) #s(literal 2 binary64)) #s(literal 1 binary64))) (log.f64 (-.f64 (*.f64 y (expm1.f64 z)) #s(literal 1 binary64)))) |
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 z)) #s(literal 2 binary64))))) (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 z)))))) |
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y (expm1.f64 z)) #s(literal 3 binary64)) #s(literal 1 binary64)))) (log.f64 (neg.f64 (fma.f64 (*.f64 y (expm1.f64 z)) (-.f64 (*.f64 y (expm1.f64 z)) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(-.f64 (log1p.f64 (neg.f64 (pow.f64 (*.f64 y (expm1.f64 z)) #s(literal 2 binary64)))) (log1p.f64 (*.f64 (neg.f64 y) (expm1.f64 z)))) |
(-.f64 (log1p.f64 (pow.f64 (*.f64 y (expm1.f64 z)) #s(literal 3 binary64))) (log.f64 (+.f64 (pow.f64 (*.f64 y (expm1.f64 z)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 z)))))) |
(-.f64 (log1p.f64 (pow.f64 (*.f64 y (expm1.f64 z)) #s(literal 3 binary64))) (log1p.f64 (*.f64 (*.f64 y (expm1.f64 z)) (-.f64 (*.f64 y (expm1.f64 z)) #s(literal 1 binary64))))) |
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 z))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 z)) #s(literal 2 binary64)))))) |
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (fma.f64 (*.f64 y (expm1.f64 z)) (-.f64 (*.f64 y (expm1.f64 z)) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (*.f64 y (expm1.f64 z)) #s(literal 3 binary64)) #s(literal 1 binary64))))) |
(+.f64 (log1p.f64 (neg.f64 (pow.f64 (*.f64 y (expm1.f64 z)) #s(literal 2 binary64)))) (log.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 z))) #s(literal -1 binary64)))) |
(+.f64 (log1p.f64 (pow.f64 (*.f64 y (expm1.f64 z)) #s(literal 3 binary64))) (log.f64 (pow.f64 (fma.f64 (*.f64 y (expm1.f64 z)) (-.f64 (*.f64 y (expm1.f64 z)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (expm1.f64 z)) y) |
(*.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 z))) |
(*.f64 (*.f64 y (expm1.f64 z)) #s(literal 1 binary64)) |
(*.f64 y (expm1.f64 z)) |
(*.f64 (expm1.f64 z) y) |
(/.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 (neg.f64 y)) |
(fma.f64 y (exp.f64 z) (neg.f64 y)) |
(+.f64 (*.f64 (exp.f64 z) y) (neg.f64 y)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 z t) (neg.f64 y)))) |
#s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 z t) (neg.f64 y))) |
(*.f64 (*.f64 (/.f64 y t) #s(literal -1 binary64)) z) |
(*.f64 (/.f64 z t) (neg.f64 y)) |
(*.f64 (pow.f64 t #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (neg.f64 y) z) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 t #s(literal -1 binary64)) (*.f64 (neg.f64 y) z)) |
(*.f64 (*.f64 y z) (/.f64 #s(literal -1 binary64) t)) |
(*.f64 (*.f64 (neg.f64 y) z) (pow.f64 t #s(literal -1 binary64))) |
(*.f64 (neg.f64 y) (/.f64 z t)) |
(*.f64 (/.f64 y t) (neg.f64 z)) |
(*.f64 (neg.f64 z) (/.f64 y t)) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 z t) (neg.f64 y))) |
(*.f64 y (*.f64 (pow.f64 t #s(literal -1 binary64)) (neg.f64 z))) |
(*.f64 z (*.f64 (neg.f64 y) (pow.f64 t #s(literal -1 binary64)))) |
(*.f64 z (/.f64 (neg.f64 y) t)) |
(*.f64 z (neg.f64 (/.f64 y t))) |
(*.f64 #s(literal -1 binary64) (*.f64 y (/.f64 z t))) |
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 y t) z)) |
(pow.f64 (/.f64 (/.f64 t (*.f64 (neg.f64 y) z)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 t (*.f64 (neg.f64 y) z)) #s(literal -1 binary64)) |
(/.f64 (/.f64 (*.f64 y z) #s(literal -1 binary64)) t) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 z)) (/.f64 t y)) |
(/.f64 (*.f64 (*.f64 (neg.f64 y) z) #s(literal 1 binary64)) t) |
(/.f64 (*.f64 (neg.f64 z) #s(literal 1 binary64)) (/.f64 t y)) |
(/.f64 (*.f64 y z) (neg.f64 t)) |
(/.f64 (*.f64 (neg.f64 y) z) t) |
(/.f64 (neg.f64 z) (/.f64 t y)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 t (*.f64 (neg.f64 y) z)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (neg.f64 y) z))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 t (*.f64 (neg.f64 y) z)))) |
(neg.f64 (*.f64 y (/.f64 z t))) |
(neg.f64 (*.f64 (/.f64 y t) z)) |
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 y t) z)) |
(exp.f64 (*.f64 (log.f64 (/.f64 t (*.f64 (neg.f64 y) z))) #s(literal -1 binary64))) |
(*.f64 (neg.f64 y) z) |
(*.f64 (neg.f64 z) y) |
(*.f64 y (neg.f64 z)) |
(*.f64 z (neg.f64 y)) |
(*.f64 #s(literal -1 binary64) (*.f64 y z)) |
(neg.f64 (*.f64 y z)) |
(-.f64 #s(literal 0 binary64) (*.f64 y z)) |
(*.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) z) #s(literal 2 binary64)) #s(literal 1/36 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) y)) #s(literal 2 binary64))) (pow.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) z (*.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) z) #s(literal 3 binary64)) #s(literal 1/216 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) y)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) z) #s(literal 2 binary64)) #s(literal 1/36 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) y)) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) y)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) z)))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) z (*.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) (-.f64 (*.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) z) #s(literal 2 binary64)) #s(literal 1/36 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) y)) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
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(/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (neg.f64 t) (log1p.f64 (*.f64 y (expm1.f64 z)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 t) (log1p.f64 (*.f64 y (expm1.f64 z))))) |
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (neg.f64 t) (log1p.f64 (*.f64 y (expm1.f64 z)))))) |
(neg.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) |
(-.f64 #s(literal 0 binary64) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (neg.f64 t) (log1p.f64 (*.f64 y (expm1.f64 z))))) #s(literal -1 binary64))) |
(*.f64 (expm1.f64 (*.f64 z #s(literal 2 binary64))) (pow.f64 (+.f64 (exp.f64 z) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (expm1.f64 (*.f64 z #s(literal 3 binary64))) (pow.f64 (fma.f64 (exp.f64 z) (exp.f64 z) (+.f64 (exp.f64 z) #s(literal 1 binary64))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (+.f64 (exp.f64 z) #s(literal 1 binary64)) (expm1.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (exp.f64 z) (exp.f64 z) (+.f64 (exp.f64 z) #s(literal 1 binary64))) (expm1.f64 (*.f64 z #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (expm1.f64 (*.f64 z #s(literal 2 binary64)))) (neg.f64 (+.f64 (exp.f64 z) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (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 (expm1.f64 (*.f64 z #s(literal 2 binary64))) (-.f64 (exp.f64 z) #s(literal -1 binary64))) |
(/.f64 (expm1.f64 (*.f64 z #s(literal 2 binary64))) (+.f64 (exp.f64 z) #s(literal 1 binary64))) |
(/.f64 (expm1.f64 (*.f64 z #s(literal 3 binary64))) (fma.f64 (exp.f64 z) (exp.f64 z) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 z) #s(literal -1 binary64))))) |
(/.f64 (expm1.f64 (*.f64 z #s(literal 3 binary64))) (fma.f64 (exp.f64 z) (exp.f64 z) (+.f64 (exp.f64 z) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 z) #s(literal 1 binary64)) (expm1.f64 (*.f64 z #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (exp.f64 z) (exp.f64 z) (+.f64 (exp.f64 z) #s(literal 1 binary64))) (expm1.f64 (*.f64 z #s(literal 3 binary64))))) |
(fma.f64 (exp.f64 z) #s(literal 1 binary64) #s(literal -1 binary64)) |
(fma.f64 #s(literal 1 binary64) (exp.f64 z) #s(literal -1 binary64)) |
(expm1.f64 z) |
(-.f64 (/.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) (+.f64 (exp.f64 z) #s(literal 1 binary64))) (pow.f64 (+.f64 (exp.f64 z) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(-.f64 (/.f64 (pow.f64 (exp.f64 z) #s(literal 3 binary64)) (fma.f64 (exp.f64 z) (exp.f64 z) (+.f64 (exp.f64 z) #s(literal 1 binary64)))) (pow.f64 (fma.f64 (exp.f64 z) (exp.f64 z) (+.f64 (exp.f64 z) #s(literal 1 binary64))) #s(literal -1 binary64))) |
(-.f64 (exp.f64 z) #s(literal 1 binary64)) |
(+.f64 (exp.f64 z) #s(literal -1 binary64)) |
(+.f64 #s(literal -1 binary64) (exp.f64 z)) |
(*.f64 y #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) y) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y)))) |
(/.f64 (*.f64 (neg.f64 y) y) (+.f64 #s(literal 0 binary64) y)) |
(neg.f64 y) |
(-.f64 #s(literal 0 binary64) y) |
(+.f64 #s(literal 0 binary64) (neg.f64 y)) |
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) z (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) z y) z)) |
(*.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) z (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) z) #s(literal 2 binary64)) (*.f64 y y)) (pow.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) z (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) z (neg.f64 y)) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) z (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (fma.f64 y (-.f64 y (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) z (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) z)) (pow.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) z (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) z) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) z (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) z (neg.f64 y)) (-.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) z (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) z) #s(literal 2 binary64)) (*.f64 y y))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 y (-.f64 y (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) z (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) z)) (pow.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) z (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) z) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) z (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) z (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) z) #s(literal 2 binary64))) (-.f64 y (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) z (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) z))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) z (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) z) #s(literal 2 binary64)) (*.f64 y y))) (neg.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) z (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) z (neg.f64 y)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) z (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (-.f64 y (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) z (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) z)) (pow.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) z (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) z) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) z (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) z) #s(literal 2 binary64)) (*.f64 y y)) (fma.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) z (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) z (neg.f64 y))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) z (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (-.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) z (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) z) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) z (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) (*.f64 y z))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) z (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (-.f64 y (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) z (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) z)) (pow.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) z (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) z) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) z (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) z (neg.f64 y)) (-.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) z (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) z) #s(literal 2 binary64)) (*.f64 y y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) z (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) z)) (pow.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) z (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) z) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) z (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) |
(fma.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) z (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) z y) |
(fma.f64 #s(literal 1 binary64) y (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) z (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) z)) |
(fma.f64 y #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) z (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) z)) |
(fma.f64 z (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) z (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) y) |
(-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) z (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) z) #s(literal 2 binary64)) (fma.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) z (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) z (neg.f64 y))) (/.f64 (*.f64 y y) (fma.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) z (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) z (neg.f64 y)))) |
(+.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) z (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) z) y) |
(+.f64 y (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) z (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) z)) |
#s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) |
Compiled 26 248 to 2 732 computations (89.6% saved)
41 alts after pruning (35 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 587 | 25 | 612 |
| Fresh | 14 | 10 | 24 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 3 | 3 |
| Total | 603 | 41 | 644 |
| Status | Accuracy | Program |
|---|---|---|
| 63.3% | (fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (-.f64 (*.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) y) y)) x) | |
| ✓ | 97.7% | (fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 (expm1.f64 z) y)) x) |
| ▶ | 72.8% | (fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) y)) x) |
| 79.1% | (fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 #s(approx (+ (* (exp z) y) (neg y)) (*.f64 y z))) x) | |
| 34.5% | (/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y z) y) z #s(literal 1 binary64))))) #s(literal -2 binary64))) (+.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y z) y) z #s(literal 1 binary64)))) t) x)) | |
| 19.6% | (/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y)))) #s(literal -2 binary64))) (+.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))) t) x)) | |
| 69.8% | (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t)) | |
| ✓ | 35.9% | (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))) t)) |
| ✓ | 67.6% | (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t)) |
| 51.7% | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.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)) t)) | |
| 54.6% | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.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) #s(approx (* (- y (* y y)) 1/2) (*.f64 #s(literal 1/2 binary64) y))) z y) z)) t)) | |
| 57.2% | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (fma.f64 z (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) y)) z y) z)) t)) | |
| 56.9% | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) y)) z y) z)) t)) | |
| 80.6% | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t)) | |
| 63.2% | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) z) y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) y)) z)) t)) | |
| 71.1% | (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 z t) y))) | |
| 63.3% | (+.f64 (/.f64 (log1p.f64 (fma.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) y (neg.f64 y))) (neg.f64 t)) x) | |
| 51.9% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 t)) (*.f64 (neg.f64 t) y)) (*.f64 t t)) x)) | |
| ✓ | 70.1% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 y t) x)) |
| 70.1% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (/.f64 t y)) x)) | |
| 70.1% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) x)) | |
| 25.4% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (-.f64 (log1p.f64 (pow.f64 (*.f64 y (expm1.f64 z)) #s(literal 3 binary64))) (log1p.f64 (*.f64 (*.f64 y (expm1.f64 z)) (-.f64 (*.f64 y (expm1.f64 z)) #s(literal 1 binary64))))) (neg.f64 t))) | |
| ✓ | 32.8% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t))) |
| 19.1% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) y)) (neg.f64 t))) | |
| 19.5% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) y)) (neg.f64 t))) | |
| 18.9% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) y)) (neg.f64 t))) | |
| 4.4% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (+.f64 (log.f64 y) (log.f64 (expm1.f64 z)))) (neg.f64 t))) | |
| 10.7% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y) z)) (neg.f64 t))) | |
| 19.1% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (*.f64 (expm1.f64 z) y)) (neg.f64 t))) | |
| 32.7% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (*.f64 (/.f64 #s(literal -1 binary64) t) (pow.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) #s(literal -1 binary64)) #s(literal -1 binary64)))) | |
| 32.7% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (*.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 y (expm1.f64 z))))) | |
| ▶ | 88.8% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (neg.f64 (fma.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 x t)) x (neg.f64 x)))) |
| ▶ | 20.3% | #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)))) |
| ▶ | 67.2% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (neg.f64 x) (*.f64 (/.f64 y x) (/.f64 z t)) x))) |
| 10.9% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (*.f64 (/.f64 (*.f64 (neg.f64 y) y) (+.f64 #s(literal 0 binary64) y)) z) t))) | |
| ✓ | 13.1% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (*.f64 (neg.f64 y) z) t))) |
| 12.8% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (neg.f64 z) (/.f64 t y)))) | |
| 13.0% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (neg.f64 y) z))))) | |
| 14.3% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 z t) (neg.f64 y)))) | |
| ▶ | 12.6% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 y t) (neg.f64 z)))) |
| 13.1% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (*.f64 y z) (/.f64 #s(literal -1 binary64) t)))) |
Compiled 2 373 to 1 696 computations (28.5% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) y) | |
| cost-diff | 0 | (log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) y)) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) t) | |
| cost-diff | 192 | (fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) y)) x) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | (*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t)) | |
| cost-diff | 0 | #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) 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 y) (/.f64 (expm1.f64 z) t)))) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (neg.f64 x) (*.f64 (/.f64 y x) (/.f64 z t)) x)) | |
| cost-diff | 0 | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (neg.f64 x) (*.f64 (/.f64 y x) (/.f64 z t)) x))) | |
| cost-diff | 1024 | (fma.f64 (neg.f64 x) (*.f64 (/.f64 y x) (/.f64 z t)) x) | |
| cost-diff | 0 | (/.f64 y t) | |
| cost-diff | 0 | (*.f64 (/.f64 y t) (neg.f64 z)) | |
| cost-diff | 0 | #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 y t) (neg.f64 z))) | |
| cost-diff | 0 | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 y t) (neg.f64 z)))) | |
| cost-diff | 0 | (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 x t)) | |
| cost-diff | 0 | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (neg.f64 (fma.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 x t)) x (neg.f64 x)))) | |
| cost-diff | 128 | (neg.f64 (fma.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 x t)) x (neg.f64 x))) | |
| cost-diff | 640 | (fma.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 x t)) x (neg.f64 x)) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 56 | 359 |
| 0 | 86 | 359 |
| 1 | 160 | 353 |
| 2 | 352 | 326 |
| 3 | 1155 | 312 |
| 4 | 4571 | 312 |
| 5 | 5636 | 312 |
| 6 | 6257 | 312 |
| 7 | 6766 | 312 |
| 8 | 7135 | 312 |
| 9 | 7217 | 312 |
| 0 | 8670 | 312 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (neg.f64 (fma.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 x t)) x (neg.f64 x)))) |
(neg.f64 (fma.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 x t)) x (neg.f64 x))) |
(fma.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 x t)) x (neg.f64 x)) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 x t)) |
(log1p.f64 (*.f64 (expm1.f64 z) y)) |
(*.f64 (expm1.f64 z) y) |
(expm1.f64 z) |
z |
y |
(*.f64 x t) |
x |
t |
(neg.f64 x) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 y t) (neg.f64 z)))) |
#s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 y t) (neg.f64 z))) |
(*.f64 (/.f64 y t) (neg.f64 z)) |
(/.f64 y t) |
y |
t |
(neg.f64 z) |
z |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (neg.f64 x) (*.f64 (/.f64 y x) (/.f64 z t)) x))) |
#s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (neg.f64 x) (*.f64 (/.f64 y x) (/.f64 z t)) x)) |
(fma.f64 (neg.f64 x) (*.f64 (/.f64 y x) (/.f64 z t)) x) |
(neg.f64 x) |
x |
(*.f64 (/.f64 y x) (/.f64 z t)) |
(/.f64 y x) |
y |
(/.f64 z t) |
z |
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)))) |
#s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t))) |
(*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t)) |
(neg.f64 y) |
y |
(/.f64 (expm1.f64 z) t) |
(expm1.f64 z) |
z |
t |
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) y)) x) |
(/.f64 #s(literal -1 binary64) t) |
#s(literal -1 binary64) |
t |
(log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) y)) |
(*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) y) |
#s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) 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 |
x |
| Outputs |
|---|
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (neg.f64 (fma.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 x t)) x (neg.f64 x)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))) |
(neg.f64 (fma.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 x t)) x (neg.f64 x))) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(fma.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 x t)) x (neg.f64 x)) |
(-.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) x) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 x t)) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) |
(log1p.f64 (*.f64 (expm1.f64 z) y)) |
(*.f64 (expm1.f64 z) y) |
(expm1.f64 z) |
z |
y |
(*.f64 x t) |
(*.f64 t x) |
x |
t |
(neg.f64 x) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 y t) (neg.f64 z)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 (neg.f64 z) t) y))) |
#s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 y t) (neg.f64 z))) |
#s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 (neg.f64 z) t) y)) |
(*.f64 (/.f64 y t) (neg.f64 z)) |
(*.f64 (/.f64 (neg.f64 z) t) y) |
(/.f64 y t) |
y |
t |
(neg.f64 z) |
z |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (neg.f64 x) (*.f64 (/.f64 y x) (/.f64 z t)) x))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (/.f64 (neg.f64 z) t) y x))) |
#s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (neg.f64 x) (*.f64 (/.f64 y x) (/.f64 z t)) x)) |
#s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (/.f64 (neg.f64 z) t) y x)) |
(fma.f64 (neg.f64 x) (*.f64 (/.f64 y x) (/.f64 z t)) x) |
(fma.f64 (/.f64 (neg.f64 z) t) y x) |
(neg.f64 x) |
x |
(*.f64 (/.f64 y x) (/.f64 z t)) |
(*.f64 (/.f64 z x) (/.f64 y t)) |
(/.f64 y x) |
y |
(/.f64 z t) |
z |
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)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (/.f64 (neg.f64 y) t) (expm1.f64 z)))) |
#s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t))) |
#s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (/.f64 (neg.f64 y) t) (expm1.f64 z))) |
(*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t)) |
(*.f64 (/.f64 (neg.f64 y) t) (expm1.f64 z)) |
(neg.f64 y) |
y |
(/.f64 (expm1.f64 z) t) |
(expm1.f64 z) |
z |
t |
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) y)) x) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) y)) t)) |
(/.f64 #s(literal -1 binary64) t) |
#s(literal -1 binary64) |
t |
(log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) y)) |
(*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) y) |
#s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) 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 |
x |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0078125 | (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) | |
| accuracy | 0.4918849333909695 | (log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) y)) | |
| accuracy | 1.030670443622821 | (fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) y)) x) | |
| accuracy | 21.083960299913834 | #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) | |
| accuracy | 0.0078125 | (/.f64 (expm1.f64 z) t) | |
| accuracy | 2.4086793613370676 | (*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t)) | |
| accuracy | 15.578513140385029 | #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t))) | |
| accuracy | 41.9396196755252 | #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)))) | |
| accuracy | 0 | #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (neg.f64 x) (*.f64 (/.f64 y x) (/.f64 z t)) x)) | |
| accuracy | 5.939327163003209 | (fma.f64 (neg.f64 x) (*.f64 (/.f64 y x) (/.f64 z t)) x) | |
| accuracy | 9.924534279198978 | (*.f64 (/.f64 y x) (/.f64 z t)) | |
| accuracy | 17.765160997904566 | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (neg.f64 x) (*.f64 (/.f64 y x) (/.f64 z t)) x))) | |
| accuracy | 0 | (neg.f64 z) | |
| accuracy | 4.467576144722509 | (*.f64 (/.f64 y t) (neg.f64 z)) | |
| accuracy | 17.765160997904566 | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 y t) (neg.f64 z)))) | |
| accuracy | 37.67164262707464 | #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 y t) (neg.f64 z))) | |
| accuracy | 0.00390625 | (*.f64 (expm1.f64 z) y) | |
| accuracy | 0.4918849333909695 | (log1p.f64 (*.f64 (expm1.f64 z) y)) | |
| accuracy | 2.916286778920905 | (fma.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 x t)) x (neg.f64 x)) | |
| accuracy | 6.126774544278139 | (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 x t)) |
| 128.0ms | 128× | 1 | valid |
| 40.0ms | 128× | 0 | valid |
Compiled 660 to 103 computations (84.4% saved)
ival-div: 24.0ms (18.6% of total)ival-mult: 22.0ms (17.1% of total)adjust: 20.0ms (15.5% of total)ival-log: 19.0ms (14.8% of total)ival-exp: 15.0ms (11.6% of total)ival-add: 10.0ms (7.8% of total)ival-neg: 5.0ms (3.9% of total)ival-sub: 4.0ms (3.1% of total)ival-expm1: 4.0ms (3.1% of total)ival-log1p: 3.0ms (2.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 x t)) x (neg.f64 x)) |
(neg.f64 (fma.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 x t)) x (neg.f64 x))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (neg.f64 (fma.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 x t)) x (neg.f64 x)))) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 x t)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 y t) (neg.f64 z)))) |
#s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 y t) (neg.f64 z))) |
(*.f64 (/.f64 y t) (neg.f64 z)) |
(/.f64 y t) |
(fma.f64 (neg.f64 x) (*.f64 (/.f64 y x) (/.f64 z t)) x) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (neg.f64 x) (*.f64 (/.f64 y x) (/.f64 z t)) x))) |
#s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (neg.f64 x) (*.f64 (/.f64 y x) (/.f64 z t)) x)) |
(neg.f64 x) |
#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)))) |
#s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t))) |
(*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t)) |
(neg.f64 y) |
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) y)) x) |
(/.f64 #s(literal -1 binary64) t) |
(log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) y)) |
(*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) y) |
(log1p.f64 (*.f64 (expm1.f64 z) y)) |
(*.f64 (expm1.f64 z) y) |
(neg.f64 z) |
(*.f64 (/.f64 y x) (/.f64 z t)) |
(/.f64 (expm1.f64 z) t) |
#s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) |
| Outputs |
|---|
(/ (log (+ 1 (* y (- (exp z) 1)))) t) |
(+ (* -1 x) (/ (log (+ 1 (* y (- (exp z) 1)))) t)) |
(* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t)) |
(- x (/ (log (+ 1 (* y (- (exp z) 1)))) t)) |
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)) |
(* -1 (/ (* y z) t)) |
(+ x (* -1 (/ (* y z) t))) |
(* -1 x) |
(+ x (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t))) |
(/ (* y z) (* t x)) |
(* x (- (/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)) 1)) |
x |
(* x (+ 1 (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) (* t x))))) |
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x))))) |
(* x (+ 1 (* -1 (/ (* y z) (* t x))))) |
(* -1 (* x (+ 1 (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)))))) |
(* -1 (* x (- (/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)) 1))) |
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) |
(* -1 (* x (- (/ (* y z) (* t x)) 1))) |
(- (* y (- (/ (exp z) t) (/ 1 t))) x) |
(- (* y (- (+ (* -1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ (exp z) t)) (/ 1 t))) x) |
(- (* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) t)) (* 1/3 (/ (* y (pow (- (exp z) 1) 3)) t)))) (/ (exp z) t)) (/ 1 t))) x) |
(+ 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 x)) |
(* y (- (+ (* -1/2 (/ (* y (pow (- (exp z) 1) 2)) (* t x))) (/ (exp z) (* t x))) (/ 1 (* t x)))) |
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) (* t x))) (* 1/3 (/ (* y (pow (- (exp z) 1) 3)) (* t x))))) (/ (exp z) (* t x))) (/ 1 (* t x)))) |
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) (* t x))) (* y (+ (* -1/4 (/ (* y (pow (- (exp z) 1) 4)) (* t x))) (* 1/3 (/ (pow (- (exp z) 1) 3) (* t x))))))) (/ (exp z) (* t x))) (/ 1 (* t x)))) |
(/ y t) |
(* -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) |
(+ x (* -1 (/ (* y (- (exp z) 1)) t))) |
(+ x (* y (+ (* -1 (/ (- (exp z) 1) t)) (* 1/2 (/ (* y (pow (- (exp z) 1) 2)) t))))) |
(+ x (* 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 (- (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 (/ (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 (/ (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)))) (+ (* 1/3 (/ 1 (* t (* (pow y 3) (pow (- (exp z) 1) 3))))) (/ (log (- (exp z) 1)) t)))) (+ x (* 1/2 (/ 1 (* t (* (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 x)) |
(+ (* -1 (/ (log (/ 1 y)) (* t x))) (+ (/ 1 (* t (* x (* y (- (exp z) 1))))) (/ (log (- (exp z) 1)) (* t x)))) |
(- (+ (* -1 (/ (log (/ 1 y)) (* t x))) (+ (/ 1 (* t (* x (* y (- (exp z) 1))))) (/ (log (- (exp z) 1)) (* t x)))) (/ 1/2 (* t (* x (* (pow y 2) (pow (- (exp z) 1) 2)))))) |
(- (+ (* -1 (/ (log (/ 1 y)) (* t x))) (+ (/ 1 (* t (* x (* y (- (exp z) 1))))) (+ (* 1/3 (/ 1 (* t (* x (* (pow y 3) (pow (- (exp z) 1) 3)))))) (/ (log (- (exp z) 1)) (* t x))))) (* 1/2 (/ 1 (* t (* x (* (pow y 2) (pow (- (exp z) 1) 2))))))) |
(* y (+ (* -1 (/ z t)) (/ x y))) |
(* -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))))))) |
(+ x (* -1 (/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t))) |
(- (+ x (* -1 (/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t))) (/ 1 (* t (* y (- (exp z) 1))))) |
(- (+ x (+ (* -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))))) |
(- (+ x (+ (* -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))))))) |
(+ (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))))) |
(- (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (* -1 (- (exp z) 1))) t)) x) |
(- (+ (* -1 (/ (log (/ -1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (* -1 (- (exp z) 1))) t))) x) |
(- (+ (* -1 (/ (log (/ -1 y)) t)) (+ (* -1 (/ (- (* 1/2 (/ 1 (* t (* y (pow (- (exp z) 1) 2))))) (/ 1 (* t (- (exp z) 1)))) y)) (/ (log (* -1 (- (exp z) 1))) t))) x) |
(- (+ (* -1 (/ (log (/ -1 y)) t)) (+ (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* t (* y (pow (- (exp z) 1) 3))))) (* 1/2 (/ 1 (* t (pow (- (exp z) 1) 2))))) y)) (/ 1 (* t (- (exp z) 1)))) y)) (/ (log (* -1 (- (exp z) 1))) t))) x) |
(- x (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (* -1 (- (exp z) 1))) t))) |
(- x (+ (* -1 (/ (log (/ -1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (* -1 (- (exp z) 1))) t)))) |
(- (+ x (* -1 (/ (- (/ 1 (* t (- (exp z) 1))) (* 1/2 (/ 1 (* t (* y (pow (- (exp z) 1) 2)))))) y))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (* -1 (- (exp z) 1))) t))) |
(- (+ x (* -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))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (* -1 (- (exp z) 1))) t))) |
(- 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 (- (exp z) 1))) (* -1 (log (/ -1 y)))) (* t x)) |
(+ (* -1 (/ (log (/ -1 y)) (* t x))) (+ (/ 1 (* t (* x (* y (- (exp z) 1))))) (/ (log (* -1 (- (exp z) 1))) (* t x)))) |
(+ (* -1 (/ (log (/ -1 y)) (* t x))) (+ (* -1 (/ (- (* 1/2 (/ 1 (* t (* x (* y (pow (- (exp z) 1) 2)))))) (/ 1 (* t (* x (- (exp z) 1))))) y)) (/ (log (* -1 (- (exp z) 1))) (* t x)))) |
(+ (* -1 (/ (log (/ -1 y)) (* t x))) (+ (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* t (* x (* y (pow (- (exp z) 1) 3)))))) (* 1/2 (/ 1 (* t (* x (pow (- (exp z) 1) 2)))))) y)) (/ 1 (* t (* x (- (exp z) 1))))) y)) (/ (log (* -1 (- (exp z) 1))) (* t x)))) |
(* -1 (* y (+ (* -1 (/ x y)) (/ z t)))) |
(* -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))) |
(+ x (* -1 (/ (+ (log (* -1 (- (exp z) 1))) (* -1 (log (/ -1 y)))) t))) |
(- (+ x (* -1 (/ (+ (log (* -1 (- (exp z) 1))) (* -1 (log (/ -1 y)))) t))) (/ 1 (* t (* y (- (exp z) 1))))) |
(+ x (+ (* -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)))) |
(+ x (+ (* -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)))) |
(- (/ (* 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))) x) |
(+ 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 x))) (/ y (* t x)))) |
(* z (+ (* z (+ (* 1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) (* t x))) (* 1/2 (/ (+ y (* -1 (pow y 2))) (* t x))))) (/ y (* t x)))) |
(* z (+ (* z (+ (* 1/2 (/ (+ y (* -1 (pow y 2))) (* t x))) (* z (+ (* 1/24 (/ (* z (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3))))))) (* t x))) (* 1/6 (/ (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))) (* t x))))))) (/ y (* t x)))) |
(* 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)))))))) |
(* z (+ (* -1 (/ y t)) (* -1/2 (/ (* y z) t)))) |
(* z (+ (* -1 (/ y t)) (* z (+ (* -1/2 (/ y t)) (* -1/6 (/ (* y z) t)))))) |
(* z (+ (* -1 (/ y t)) (* z (+ (* -1/2 (/ y t)) (* z (+ (* -1/6 (/ y t)) (* -1/24 (/ (* y z) t)))))))) |
(+ x (* z (+ (* -1 (/ y t)) (* -1/2 (/ (* z (+ y (* -1 (pow y 2)))) t))))) |
(+ x (* 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))))))) |
(* 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 z) |
(/ 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))) |
z |
(* z (+ 1 (* 1/2 z))) |
(* z (+ 1 (* z (+ 1/2 (* 1/6 z))))) |
(* z (+ 1 (* z (+ 1/2 (* z (+ 1/6 (* 1/24 z))))))) |
(- (/ (log (+ 1 (* y (- (exp z) 1)))) t) x) |
(* z (+ (* -1 (/ y t)) (/ x z))) |
(log (+ 1 (* y (- (exp z) 1)))) |
(/ (- (exp z) 1) t) |
(- (exp z) 1) |
(* 1/2 (pow z 2)) |
(* (pow z 2) (+ 1/2 (/ 1 z))) |
(* -1 (* z (+ (* -1 (/ x z)) (/ y t)))) |
(/ (+ (log (+ 1 (* y (- (exp z) 1)))) (* -1 (* t x))) t) |
(/ (- (* t x) (log (+ 1 (* y (- (exp z) 1))))) t) |
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) |
(/ (+ (* -1 (* y z)) (* t x)) t) |
(/ (+ (* -1 (log (+ 1 (* y (- (exp z) 1))))) (* t x)) t) |
(/ -1 t) |
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 53.0ms | x | @ | -inf | ((+ (* (/ (log (+ 1 (* (- (exp z) 1) y))) (* x t)) x) (neg x)) (neg (+ (* (/ (log (+ 1 (* (- (exp z) 1) y))) (* x t)) x) (neg x))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ 1 (* (- (exp z) 1) y))) (* x t)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (neg z) (/ y t)) x) (* (/ y t) (neg z)) (/ y t) (+ (* (neg x) (* (/ y x) (/ z t))) x) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (neg z) (/ y t)) x) (neg x) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (* (neg y) (/ (- (exp z) 1) t)) (neg y) (+ (* (/ -1 t) (log (+ 1 (* (- (exp z) 1) y)))) x) (/ -1 t) (log (+ 1 (* (- (exp z) 1) y))) (* (- (exp z) 1) y) (log (+ 1 (* (- (exp z) 1) y))) (* (- (exp z) 1) y) (neg z) (* (/ y x) (/ z t)) (/ (- (exp z) 1) t) (- (exp z) 1) (* (+ (* 1/2 z) 1) z)) |
| 43.0ms | z | @ | -inf | ((+ (* (/ (log (+ 1 (* (- (exp z) 1) y))) (* x t)) x) (neg x)) (neg (+ (* (/ (log (+ 1 (* (- (exp z) 1) y))) (* x t)) x) (neg x))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ 1 (* (- (exp z) 1) y))) (* x t)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (neg z) (/ y t)) x) (* (/ y t) (neg z)) (/ y t) (+ (* (neg x) (* (/ y x) (/ z t))) x) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (neg z) (/ y t)) x) (neg x) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (* (neg y) (/ (- (exp z) 1) t)) (neg y) (+ (* (/ -1 t) (log (+ 1 (* (- (exp z) 1) y)))) x) (/ -1 t) (log (+ 1 (* (- (exp z) 1) y))) (* (- (exp z) 1) y) (log (+ 1 (* (- (exp z) 1) y))) (* (- (exp z) 1) y) (neg z) (* (/ y x) (/ z t)) (/ (- (exp z) 1) t) (- (exp z) 1) (* (+ (* 1/2 z) 1) z)) |
| 31.0ms | t | @ | inf | ((+ (* (/ (log (+ 1 (* (- (exp z) 1) y))) (* x t)) x) (neg x)) (neg (+ (* (/ (log (+ 1 (* (- (exp z) 1) y))) (* x t)) x) (neg x))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ 1 (* (- (exp z) 1) y))) (* x t)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (neg z) (/ y t)) x) (* (/ y t) (neg z)) (/ y t) (+ (* (neg x) (* (/ y x) (/ z t))) x) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (neg z) (/ y t)) x) (neg x) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (* (neg y) (/ (- (exp z) 1) t)) (neg y) (+ (* (/ -1 t) (log (+ 1 (* (- (exp z) 1) y)))) x) (/ -1 t) (log (+ 1 (* (- (exp z) 1) y))) (* (- (exp z) 1) y) (log (+ 1 (* (- (exp z) 1) y))) (* (- (exp z) 1) y) (neg z) (* (/ y x) (/ z t)) (/ (- (exp z) 1) t) (- (exp z) 1) (* (+ (* 1/2 z) 1) z)) |
| 19.0ms | z | @ | inf | ((+ (* (/ (log (+ 1 (* (- (exp z) 1) y))) (* x t)) x) (neg x)) (neg (+ (* (/ (log (+ 1 (* (- (exp z) 1) y))) (* x t)) x) (neg x))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ 1 (* (- (exp z) 1) y))) (* x t)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (neg z) (/ y t)) x) (* (/ y t) (neg z)) (/ y t) (+ (* (neg x) (* (/ y x) (/ z t))) x) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (neg z) (/ y t)) x) (neg x) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (* (neg y) (/ (- (exp z) 1) t)) (neg y) (+ (* (/ -1 t) (log (+ 1 (* (- (exp z) 1) y)))) x) (/ -1 t) (log (+ 1 (* (- (exp z) 1) y))) (* (- (exp z) 1) y) (log (+ 1 (* (- (exp z) 1) y))) (* (- (exp z) 1) y) (neg z) (* (/ y x) (/ z t)) (/ (- (exp z) 1) t) (- (exp z) 1) (* (+ (* 1/2 z) 1) z)) |
| 13.0ms | t | @ | -inf | ((+ (* (/ (log (+ 1 (* (- (exp z) 1) y))) (* x t)) x) (neg x)) (neg (+ (* (/ (log (+ 1 (* (- (exp z) 1) y))) (* x t)) x) (neg x))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ 1 (* (- (exp z) 1) y))) (* x t)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (neg z) (/ y t)) x) (* (/ y t) (neg z)) (/ y t) (+ (* (neg x) (* (/ y x) (/ z t))) x) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (neg z) (/ y t)) x) (neg x) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (* (neg y) (/ (- (exp z) 1) t)) (neg y) (+ (* (/ -1 t) (log (+ 1 (* (- (exp z) 1) y)))) x) (/ -1 t) (log (+ 1 (* (- (exp z) 1) y))) (* (- (exp z) 1) y) (log (+ 1 (* (- (exp z) 1) y))) (* (- (exp z) 1) y) (neg z) (* (/ y x) (/ z t)) (/ (- (exp z) 1) t) (- (exp z) 1) (* (+ (* 1/2 z) 1) z)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 633 | 3573 |
| 1 | 2050 | 3382 |
| 2 | 6472 | 3287 |
| 0 | 8136 | 2778 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (log (+ 1 (* y (- (exp z) 1)))) t) |
(+ (* -1 x) (/ (log (+ 1 (* y (- (exp z) 1)))) t)) |
(* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t)) |
(- x (/ (log (+ 1 (* y (- (exp z) 1)))) t)) |
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)) |
(* -1 (/ (* y z) t)) |
(+ x (* -1 (/ (* y z) t))) |
(* -1 x) |
(+ x (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t))) |
(/ (* y z) (* t x)) |
(* x (- (/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)) 1)) |
x |
(* x (+ 1 (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) (* t x))))) |
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x))))) |
(* x (+ 1 (* -1 (/ (* y z) (* t x))))) |
(* -1 (* x (+ 1 (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)))))) |
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(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) |
(* -1 (* x (- (/ (* y z) (* t x)) 1))) |
(- (* y (- (/ (exp z) t) (/ 1 t))) x) |
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(- (* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) t)) (* 1/3 (/ (* y (pow (- (exp z) 1) 3)) t)))) (/ (exp z) t)) (/ 1 t))) x) |
(+ x (* y (- (/ 1 t) (/ (exp z) t)))) |
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(/ y t) |
(* -1 (/ (* y (- (exp z) 1)) t)) |
(* y (+ (* -1 (/ (- (exp z) 1) t)) (* 1/2 (/ (* y (pow (- (exp z) 1) 2)) t)))) |
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(* y z) |
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(* -1 z) |
(/ z t) |
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z |
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(- (/ (log (+ 1 (* y (- (exp z) 1)))) t) x) |
(* z (+ (* -1 (/ y t)) (/ x z))) |
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(/ (- (exp z) 1) t) |
(- (exp z) 1) |
(* 1/2 (pow z 2)) |
(* (pow z 2) (+ 1/2 (/ 1 z))) |
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(/ (+ (log (+ 1 (* y (- (exp z) 1)))) (* -1 (* t x))) t) |
(/ (- (* t x) (log (+ 1 (* y (- (exp z) 1))))) t) |
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) |
(/ (+ (* -1 (* y z)) (* t x)) t) |
(/ (+ (* -1 (log (+ 1 (* y (- (exp z) 1))))) (* t x)) t) |
(/ -1 t) |
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) |
| Outputs |
|---|
(/ (log (+ 1 (* y (- (exp z) 1)))) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(+ (* -1 x) (/ (log (+ 1 (* y (- (exp z) 1)))) t)) |
(-.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) x) |
(* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t)) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)) |
(- x (/ (log (+ 1 (* y (- (exp z) 1)))) t)) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(* -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)) |
(/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) |
(* -1 (/ (* y z) t)) |
(/.f64 (*.f64 (neg.f64 z) y) t) |
(+ x (* -1 (/ (* y z) t))) |
(fma.f64 (neg.f64 y) (/.f64 z t) x) |
(* -1 x) |
(neg.f64 x) |
(+ x (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t))) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(/ (* y z) (* t x)) |
(/.f64 (*.f64 (/.f64 y t) z) x) |
(* x (- (/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)) 1)) |
(fma.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) x (neg.f64 x)) |
x |
(* x (+ 1 (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) (* t x))))) |
(fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) x) |
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x))))) |
(fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) x) |
(* x (+ 1 (* -1 (/ (* y z) (* t x))))) |
(*.f64 (fma.f64 (/.f64 (neg.f64 y) x) (/.f64 z t) #s(literal 1 binary64)) x) |
(* -1 (* x (+ 1 (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)))))) |
(fma.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) x (neg.f64 x)) |
(* -1 (* x (- (/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)) 1))) |
(fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) x) |
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) |
(fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) x) |
(* -1 (* x (- (/ (* y z) (* t x)) 1))) |
(*.f64 (fma.f64 (/.f64 (neg.f64 y) x) (/.f64 z t) #s(literal 1 binary64)) x) |
(- (* y (- (/ (exp z) t) (/ 1 t))) x) |
(fma.f64 (/.f64 (expm1.f64 z) t) y (neg.f64 x)) |
(- (* y (- (+ (* -1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ (exp z) t)) (/ 1 t))) x) |
(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) t)) y (neg.f64 x)) |
(- (* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) t)) (* 1/3 (/ (* y (pow (- (exp z) 1) 3)) t)))) (/ (exp z) t)) (/ 1 t))) x) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) y) t) #s(literal 1/3 binary64) (*.f64 (/.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) t) #s(literal -1/2 binary64))) y (/.f64 (expm1.f64 z) t)) y (neg.f64 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 #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 (/.f64 (expm1.f64 z) (neg.f64 t))) y x) |
(/ (* y (- (exp z) 1)) (* t x)) |
(*.f64 (/.f64 (/.f64 (expm1.f64 z) x) t) y) |
(* y (- (+ (* -1/2 (/ (* y (pow (- (exp z) 1) 2)) (* t x))) (/ (exp z) (* t x))) (/ 1 (* t x)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) y) x) (/.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) t) (/.f64 (/.f64 (expm1.f64 z) x) t)) y) |
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) (* t x))) (* 1/3 (/ (* y (pow (- (exp z) 1) 3)) (* t x))))) (/ (exp z) (* t x))) (/ 1 (* t x)))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) y) t) x) #s(literal 1/3 binary64) (*.f64 (/.f64 (/.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) t) x) #s(literal -1/2 binary64))) y (/.f64 (/.f64 (expm1.f64 z) x) t)) y) |
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) (* t x))) (* y (+ (* -1/4 (/ (* y (pow (- (exp z) 1) 4)) (* t x))) (* 1/3 (/ (pow (- (exp z) 1) 3) (* t x))))))) (/ (exp z) (* t x))) (/ 1 (* t x)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 y t)) (/.f64 (pow.f64 (expm1.f64 z) #s(literal 4 binary64)) x) (*.f64 (/.f64 #s(literal 1/3 binary64) t) (/.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) x))) y (*.f64 (/.f64 (/.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) t) x) #s(literal -1/2 binary64))) y (/.f64 (/.f64 (expm1.f64 z) x) t)) y) |
(/ y t) |
(/.f64 y t) |
(* -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 #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 (/.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 (/.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 4 binary64)) y) t) #s(literal 1/4 binary64) (*.f64 (/.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) t) #s(literal -1/3 binary64))) y (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) t))) y (/.f64 (expm1.f64 z) (neg.f64 t))) y) |
(* -1 y) |
(neg.f64 y) |
(+ x (* -1 (/ (* y (- (exp z) 1)) t))) |
(fma.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t) x) |
(+ x (* y (+ (* -1 (/ (- (exp z) 1) t)) (* 1/2 (/ (* y (pow (- (exp z) 1) 2)) 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 (+ (* -1 (/ (- (exp z) 1) t)) (* y (+ (* -1/3 (/ (* y (pow (- (exp z) 1) 3)) t)) (* 1/2 (/ (pow (- (exp z) 1) 2) t))))))) |
(fma.f64 (fma.f64 (fma.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 (/.f64 (expm1.f64 z) (neg.f64 t))) y x) |
(* 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 (fma.f64 (*.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) |
(* 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) |
(- (+ (* -1 (/ (log (/ 1 y)) t)) (/ (log (- (exp z) 1)) t)) x) |
(-.f64 (/.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))) x) |
(-.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)) 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)))))) |
(-.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 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) y) y) t)) x)) |
(- (+ (* -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)))) (+ x (* 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 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) y) y) t)) x)) |
(- 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 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 (* 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 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) y) y) t)) 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 #s(literal 1/2 binary64) (*.f64 (*.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 #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 x)) |
(/.f64 (+.f64 (log.f64 y) (log.f64 (expm1.f64 z))) (*.f64 t x)) |
(+ (* -1 (/ (log (/ 1 y)) (* t x))) (+ (/ 1 (* t (* x (* y (- (exp z) 1))))) (/ (log (- (exp z) 1)) (* t x)))) |
(+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (expm1.f64 z) y) t)) x) (/.f64 (+.f64 (log.f64 y) (log.f64 (expm1.f64 z))) (*.f64 t x))) |
(- (+ (* -1 (/ (log (/ 1 y)) (* t x))) (+ (/ 1 (* t (* x (* y (- (exp z) 1))))) (/ (log (- (exp z) 1)) (* t x)))) (/ 1/2 (* t (* x (* (pow y 2) (pow (- (exp z) 1) 2)))))) |
(-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (expm1.f64 z) y) t)) x) (/.f64 (+.f64 (log.f64 y) (log.f64 (expm1.f64 z))) (*.f64 t x))) (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) y) y) t)) x)) |
(- (+ (* -1 (/ (log (/ 1 y)) (* t x))) (+ (/ 1 (* t (* x (* y (- (exp z) 1))))) (+ (* 1/3 (/ 1 (* t (* x (* (pow y 3) (pow (- (exp z) 1) 3)))))) (/ (log (- (exp z) 1)) (* t x))))) (* 1/2 (/ 1 (* t (* x (* (pow y 2) (pow (- (exp z) 1) 2))))))) |
(-.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 t x)) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (expm1.f64 z) #s(literal 3 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (expm1.f64 z) y) t)) x)) (/.f64 (+.f64 (log.f64 y) (log.f64 (expm1.f64 z))) (*.f64 t x))) (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) y) y) t)) x)) |
(* y (+ (* -1 (/ z t)) (/ x y))) |
(*.f64 (-.f64 (/.f64 x y) (/.f64 z t)) y) |
(* -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 (/.f64 #s(literal -1 binary64) (*.f64 (expm1.f64 z) t)) y) (/.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 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) y) y) t)) (/.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 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) y) y) t)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (expm1.f64 z) y) t))) (/.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 (log.f64 y) (log.f64 (expm1.f64 z))) t)) |
(+ x (* -1 (/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t))) |
(-.f64 x (/.f64 (+.f64 (log.f64 y) (log.f64 (expm1.f64 z))) t)) |
(- (+ x (* -1 (/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t))) (/ 1 (* t (* y (- (exp z) 1))))) |
(-.f64 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 (/ (+ (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 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) y) y) t)) 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 (/ (+ (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 x (/.f64 (+.f64 (log.f64 y) (log.f64 (expm1.f64 z))) t)) (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) y) y) t)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (expm1.f64 z) y) t))) (/.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))))) |
(+ (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)))) |
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(+ x (* 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))))))) |
(fma.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 (neg.f64 y) t)) z x) |
(* y z) |
(*.f64 y z) |
(* 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 #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 (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) #s(literal 1/6 binary64))) z (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) z y) z) |
(* z (+ y (* 1/2 (* y z)))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y z) y) z) |
(* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y z) (*.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 y z) (*.f64 #s(literal 1/6 binary64) y)) z (*.f64 #s(literal 1/2 binary64) y)) z y) z) |
(* -1 z) |
(neg.f64 z) |
(/ z t) |
(/.f64 z t) |
(* z (+ (* 1/2 (/ z t)) (/ 1 t))) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) t) z (/.f64 #s(literal 1 binary64) t)) z) |
(* z (+ (* z (+ (* 1/6 (/ z t)) (* 1/2 (/ 1 t)))) (/ 1 t))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 z t) (/.f64 #s(literal 1/2 binary64) t)) z (/.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 (fma.f64 #s(literal 1/24 binary64) (/.f64 z t) (/.f64 #s(literal 1/6 binary64) t)) z (/.f64 #s(literal 1/2 binary64) t)) z (/.f64 #s(literal 1 binary64) t)) z) |
z |
(* z (+ 1 (* 1/2 z))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) |
(* z (+ 1 (* z (+ 1/2 (* 1/6 z))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z) |
(* z (+ 1 (* z (+ 1/2 (* z (+ 1/6 (* 1/24 z))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z) |
(- (/ (log (+ 1 (* y (- (exp z) 1)))) t) x) |
(-.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) x) |
(* z (+ (* -1 (/ y t)) (/ x z))) |
(*.f64 (-.f64 (/.f64 x z) (/.f64 y t)) z) |
(log (+ 1 (* y (- (exp z) 1)))) |
(log1p.f64 (*.f64 (expm1.f64 z) y)) |
(/ (- (exp z) 1) t) |
(/.f64 (expm1.f64 z) t) |
(- (exp z) 1) |
(expm1.f64 z) |
(* 1/2 (pow z 2)) |
(*.f64 (*.f64 z z) #s(literal 1/2 binary64)) |
(* (pow z 2) (+ 1/2 (/ 1 z))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) |
(* -1 (* z (+ (* -1 (/ x z)) (/ y t)))) |
(*.f64 (-.f64 (/.f64 x z) (/.f64 y t)) z) |
(/ (+ (log (+ 1 (* y (- (exp z) 1)))) (* -1 (* t x))) t) |
(-.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) x) |
(/ (- (* t x) (log (+ 1 (* y (- (exp z) 1))))) t) |
(-.f64 x (/.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)) |
(/ (+ (* -1 (* y z)) (* t x)) t) |
(fma.f64 (neg.f64 y) (/.f64 z t) x) |
(/ (+ (* -1 (log (+ 1 (* y (- (exp z) 1))))) (* t x)) t) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(/ -1 t) |
(/.f64 #s(literal -1 binary64) 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 | 56 | 319 |
| 0 | 86 | 319 |
| 1 | 321 | 313 |
| 2 | 2532 | 313 |
| 0 | 8376 | 309 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 x t)) x (neg.f64 x)) |
(neg.f64 (fma.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 x t)) x (neg.f64 x))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (neg.f64 (fma.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 x t)) x (neg.f64 x)))) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 x t)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 y t) (neg.f64 z)))) |
#s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 y t) (neg.f64 z))) |
(*.f64 (/.f64 y t) (neg.f64 z)) |
(/.f64 y t) |
(fma.f64 (neg.f64 x) (*.f64 (/.f64 y x) (/.f64 z t)) x) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (neg.f64 x) (*.f64 (/.f64 y x) (/.f64 z t)) x))) |
#s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (neg.f64 x) (*.f64 (/.f64 y x) (/.f64 z t)) x)) |
(neg.f64 x) |
#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)))) |
#s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t))) |
(*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t)) |
(neg.f64 y) |
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) y)) x) |
(/.f64 #s(literal -1 binary64) t) |
(log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) y)) |
(*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) y) |
(log1p.f64 (*.f64 (expm1.f64 z) y)) |
(*.f64 (expm1.f64 z) y) |
(neg.f64 z) |
(*.f64 (/.f64 y x) (/.f64 z t)) |
(/.f64 (expm1.f64 z) t) |
#s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) |
| Outputs |
|---|
(*.f64 (-.f64 (pow.f64 (*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (/.f64 x (*.f64 t x))) #s(literal 2 binary64)) (*.f64 x x)) (pow.f64 (fma.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (/.f64 x (*.f64 t x)) x) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (/.f64 x (*.f64 t x))) #s(literal 3 binary64))) (pow.f64 (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) (*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (/.f64 x (*.f64 t x)))) (pow.f64 (*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (/.f64 x (*.f64 t x))) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 x (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x)) #s(literal -1 binary64))) |
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x)))) |
(pow.f64 (/.f64 (fma.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (/.f64 x (*.f64 t x)) x) (-.f64 (pow.f64 (*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (/.f64 x (*.f64 t x))) #s(literal 2 binary64)) (*.f64 x x))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) (*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (/.f64 x (*.f64 t x)))) (pow.f64 (*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (/.f64 x (*.f64 t x))) #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (/.f64 x (*.f64 t x))) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (/.f64 x (*.f64 t x))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (neg.f64 x) (*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (/.f64 x (*.f64 t x)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (/.f64 x (*.f64 t x))) #s(literal 2 binary64)) (*.f64 x x)))) (neg.f64 (neg.f64 (fma.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (/.f64 x (*.f64 t x)) x)))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (/.f64 x (*.f64 t x))) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) (*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (/.f64 x (*.f64 t x)))) (pow.f64 (*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (/.f64 x (*.f64 t x))) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (/.f64 x (*.f64 t x))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (/.f64 x (*.f64 t x))) #s(literal 2 binary64)) (fma.f64 x x (*.f64 (*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (/.f64 x (*.f64 t x))) x))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (/.f64 x (*.f64 t x))) #s(literal 2 binary64)) (fma.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (/.f64 x (*.f64 t x)) x)) (*.f64 (fma.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (/.f64 x (*.f64 t x)) x) (*.f64 x x))) (*.f64 (fma.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (/.f64 x (*.f64 t x)) x) (fma.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (/.f64 x (*.f64 t x)) x))) |
(/.f64 (fma.f64 (/.f64 (*.f64 x (log1p.f64 (*.f64 y (expm1.f64 z)))) t) (+.f64 #s(literal 0 binary64) x) (*.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x x)))) (*.f64 x (+.f64 #s(literal 0 binary64) x))) |
(/.f64 (fma.f64 (/.f64 (*.f64 x (log1p.f64 (*.f64 y (expm1.f64 z)))) t) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))) (*.f64 x (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 x (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))) |
(/.f64 (fma.f64 (/.f64 (*.f64 x (log1p.f64 (*.f64 y (expm1.f64 z)))) x) (+.f64 #s(literal 0 binary64) x) (*.f64 t (-.f64 #s(literal 0 binary64) (*.f64 x x)))) (*.f64 t (+.f64 #s(literal 0 binary64) x))) |
(/.f64 (fma.f64 (/.f64 (*.f64 x (log1p.f64 (*.f64 y (expm1.f64 z)))) x) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))) (*.f64 t (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 t (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))) |
(/.f64 (fma.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) x) x) (+.f64 #s(literal 0 binary64) x) (*.f64 t (-.f64 #s(literal 0 binary64) (*.f64 x x)))) (*.f64 t (+.f64 #s(literal 0 binary64) x))) |
(/.f64 (fma.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) x) x) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))) (*.f64 t (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 t (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))) |
(/.f64 (fma.f64 (*.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) x) (+.f64 #s(literal 0 binary64) x) (*.f64 (*.f64 (neg.f64 t) x) (-.f64 #s(literal 0 binary64) (*.f64 x x)))) (*.f64 (*.f64 (neg.f64 t) x) (+.f64 #s(literal 0 binary64) x))) |
(/.f64 (fma.f64 (*.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) x) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))) (*.f64 (*.f64 (neg.f64 t) x) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (*.f64 (neg.f64 t) x) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))) |
(/.f64 (fma.f64 (*.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) x)) (+.f64 #s(literal 0 binary64) x) (*.f64 t (-.f64 #s(literal 0 binary64) (*.f64 x x)))) (*.f64 t (+.f64 #s(literal 0 binary64) x))) |
(/.f64 (fma.f64 (*.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) x)) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))) (*.f64 t (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 t (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))) |
(/.f64 (fma.f64 (*.f64 x (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (+.f64 #s(literal 0 binary64) x) (*.f64 (*.f64 (neg.f64 t) x) (-.f64 #s(literal 0 binary64) (*.f64 x x)))) (*.f64 (*.f64 (neg.f64 t) x) (+.f64 #s(literal 0 binary64) x))) |
(/.f64 (fma.f64 (*.f64 x (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))) (*.f64 (*.f64 (neg.f64 t) x) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (*.f64 (neg.f64 t) x) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))) |
(/.f64 (fma.f64 (*.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 0 binary64) x) (*.f64 (/.f64 (*.f64 t x) (log1p.f64 (*.f64 y (expm1.f64 z)))) (-.f64 #s(literal 0 binary64) (*.f64 x x)))) (*.f64 (/.f64 (*.f64 t x) (log1p.f64 (*.f64 y (expm1.f64 z)))) (+.f64 #s(literal 0 binary64) x))) |
(/.f64 (fma.f64 (*.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))) (*.f64 (/.f64 (*.f64 t x) (log1p.f64 (*.f64 y (expm1.f64 z)))) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (/.f64 (*.f64 t x) (log1p.f64 (*.f64 y (expm1.f64 z)))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))) |
(/.f64 (fma.f64 (neg.f64 (*.f64 x (log1p.f64 (*.f64 y (expm1.f64 z))))) (+.f64 #s(literal 0 binary64) x) (*.f64 (*.f64 (neg.f64 t) x) (-.f64 #s(literal 0 binary64) (*.f64 x x)))) (*.f64 (*.f64 (neg.f64 t) x) (+.f64 #s(literal 0 binary64) x))) |
(/.f64 (fma.f64 (neg.f64 (*.f64 x (log1p.f64 (*.f64 y (expm1.f64 z))))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))) (*.f64 (*.f64 (neg.f64 t) x) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (*.f64 (neg.f64 t) x) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))) |
(/.f64 (fma.f64 (*.f64 x (log1p.f64 (*.f64 y (expm1.f64 z)))) (+.f64 #s(literal 0 binary64) x) (*.f64 (*.f64 t x) (-.f64 #s(literal 0 binary64) (*.f64 x x)))) (*.f64 (*.f64 t x) (+.f64 #s(literal 0 binary64) x))) |
(/.f64 (fma.f64 (*.f64 x (log1p.f64 (*.f64 y (expm1.f64 z)))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))) (*.f64 (*.f64 t x) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (*.f64 t x) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))) |
(/.f64 (fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) x) (*.f64 (/.f64 (*.f64 t x) (*.f64 x (log1p.f64 (*.f64 y (expm1.f64 z))))) (-.f64 #s(literal 0 binary64) (*.f64 x x)))) (*.f64 (/.f64 (*.f64 t x) (*.f64 x (log1p.f64 (*.f64 y (expm1.f64 z))))) (+.f64 #s(literal 0 binary64) x))) |
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(-.f64 (/.f64 (pow.f64 (exp.f64 z) #s(literal 3 binary64)) (*.f64 t (fma.f64 (exp.f64 z) (exp.f64 z) (+.f64 (exp.f64 z) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 t (fma.f64 (exp.f64 z) (exp.f64 z) (+.f64 (exp.f64 z) #s(literal 1 binary64)))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) (+.f64 (exp.f64 z) #s(literal 1 binary64))) t) (/.f64 (pow.f64 (+.f64 (exp.f64 z) #s(literal 1 binary64)) #s(literal -1 binary64)) t)) |
(-.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 z) #s(literal 3 binary64)) (fma.f64 (exp.f64 z) (exp.f64 z) (+.f64 (exp.f64 z) #s(literal 1 binary64)))) t) (/.f64 (pow.f64 (fma.f64 (exp.f64 z) (exp.f64 z) (+.f64 (exp.f64 z) #s(literal 1 binary64))) #s(literal -1 binary64)) t)) |
(-.f64 (/.f64 #s(literal 0 binary64) t) (/.f64 (neg.f64 (expm1.f64 z)) t)) |
(-.f64 (/.f64 (exp.f64 z) t) (pow.f64 t #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 t (expm1.f64 z))) #s(literal -1 binary64))) |
(+.f64 (/.f64 (exp.f64 z) t) (/.f64 #s(literal -1 binary64) t)) |
#s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) |
(*.f64 z (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) #s(literal -1 binary64)) z)) (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)) z)) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) z))))) |
(/.f64 (neg.f64 (*.f64 z (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) #s(literal -1 binary64)))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (*.f64 z (fma.f64 #s(literal 1/8 binary64) (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) z))))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) #s(literal -1 binary64)) z) (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)) z) (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) z)))) |
(/.f64 (*.f64 z (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) #s(literal -1 binary64))) (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64))) |
(/.f64 (*.f64 z (fma.f64 #s(literal 1/8 binary64) (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) z)))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) z) z (*.f64 #s(literal 1 binary64) z)) |
(fma.f64 #s(literal 1 binary64) z (*.f64 (*.f64 #s(literal 1/2 binary64) z) z)) |
(fma.f64 z (*.f64 #s(literal 1/2 binary64) z) (*.f64 z #s(literal 1 binary64))) |
(fma.f64 z #s(literal 1 binary64) (*.f64 z (*.f64 #s(literal 1/2 binary64) z))) |
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) z) z) (*.f64 #s(literal 1 binary64) z)) |
(+.f64 (*.f64 z (*.f64 #s(literal 1/2 binary64) z)) (*.f64 z #s(literal 1 binary64))) |
(+.f64 (*.f64 z #s(literal 1 binary64)) (*.f64 z (*.f64 #s(literal 1/2 binary64) z))) |
(+.f64 (*.f64 #s(literal 1 binary64) z) (*.f64 (*.f64 #s(literal 1/2 binary64) z) z)) |
Compiled 29 128 to 3 325 computations (88.6% saved)
50 alts after pruning (41 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 687 | 20 | 707 |
| Fresh | 9 | 21 | 30 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 6 | 6 |
| Total | 698 | 50 | 748 |
| Status | Accuracy | Program |
|---|---|---|
| 63.3% | (fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (-.f64 (*.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) y) y)) x) | |
| ✓ | 97.7% | (fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 (expm1.f64 z) y)) x) |
| ✓ | 72.8% | (fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) y)) x) |
| 79.1% | (fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 #s(approx (+ (* (exp z) y) (neg y)) (*.f64 y z))) x) | |
| 69.8% | (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t)) | |
| ✓ | 35.9% | (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))) t)) |
| ✓ | 67.6% | (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t)) |
| 51.7% | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.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)) t)) | |
| 54.6% | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.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) #s(approx (* (- y (* y y)) 1/2) (*.f64 #s(literal 1/2 binary64) y))) z y) z)) t)) | |
| 57.2% | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (fma.f64 z (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) y)) z y) z)) t)) | |
| 56.9% | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) y)) z y) z)) t)) | |
| 80.6% | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t)) | |
| 63.2% | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) z) y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) y)) z)) t)) | |
| 71.1% | (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 z t) y))) | |
| 63.3% | (+.f64 (/.f64 (log1p.f64 (fma.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) y (neg.f64 y))) (neg.f64 t)) x) | |
| 88.8% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x)) (neg.f64 x) x)) | |
| 51.9% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 t)) (*.f64 (neg.f64 t) y)) (*.f64 t t)) x)) | |
| ✓ | 70.1% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 y t) x)) |
| ✓ | 32.8% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t))) |
| 19.1% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) y)) (neg.f64 t))) | |
| 19.5% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) y)) (neg.f64 t))) | |
| 18.9% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) y)) (neg.f64 t))) | |
| 10.7% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y) z)) (neg.f64 t))) | |
| 19.1% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (*.f64 (expm1.f64 z) y)) (neg.f64 t))) | |
| 89.0% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (-.f64 x (*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (/.f64 x (*.f64 t x))))) | |
| 32.7% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (*.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 y (expm1.f64 z))))) | |
| 83.9% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (neg.f64 (fma.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) x) (/.f64 x t) (neg.f64 x)))) | |
| 88.8% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (neg.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 t x) (log1p.f64 (*.f64 y (expm1.f64 z))))) x (neg.f64 x)))) | |
| 93.2% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (neg.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 t (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) x))) x (neg.f64 x)))) | |
| 32.2% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 x (log1p.f64 (*.f64 y (expm1.f64 z)))) t) (+.f64 #s(literal 0 binary64) x) (*.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x x)))) (*.f64 x (+.f64 #s(literal 0 binary64) x))))) | |
| 6.7% | #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 (fma.f64 (exp.f64 z) t (neg.f64 t)) (*.f64 t t))))) | |
| ✓ | 20.3% | #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)))) |
| 14.3% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 y) #s(approx (/ (- (exp z) 1) t) (/.f64 z t))))) | |
| 13.7% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 y) #s(approx (/ (- (exp z) 1) t) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (/.f64 z t) (/.f64 #s(literal 1/6 binary64) t)) z (/.f64 #s(literal 1/2 binary64) t)) z (/.f64 #s(literal 1 binary64) t)) z))))) | |
| 13.7% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 y) #s(approx (/ (- (exp z) 1) t) (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) t) z (/.f64 #s(literal 1 binary64) t)) z))))) | |
| 11.9% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) #s(approx (* (neg y) (/ (- (exp z) 1) t)) (*.f64 (fma.f64 (*.f64 z #s(literal -1/2 binary64)) (/.f64 y t) (/.f64 (neg.f64 y) t)) z)))) | |
| 67.7% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (/.f64 z t) (*.f64 (/.f64 y x) (neg.f64 x)) x))) | |
| 63.2% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (/.f64 y x) (*.f64 (/.f64 z t) (neg.f64 x)) x))) | |
| 67.9% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (neg.f64 x) (/.f64 (/.f64 z t) (/.f64 x y)) x))) | |
| 68.4% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (neg.f64 x) (/.f64 (*.f64 (/.f64 y x) z) t) x))) | |
| 66.7% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (neg.f64 x) (/.f64 (*.f64 y z) (*.f64 t x)) x))) | |
| 67.9% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (neg.f64 x) (*.f64 y (/.f64 z (*.f64 t x))) x))) | |
| 10.9% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (*.f64 (/.f64 (*.f64 (neg.f64 y) y) (+.f64 #s(literal 0 binary64) y)) z) t))) | |
| ✓ | 13.1% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (*.f64 (neg.f64 y) z) t))) |
| 12.8% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (neg.f64 z) (/.f64 t y)))) | |
| 8.0% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 t)) (*.f64 (neg.f64 t) y)) (*.f64 t t)) (neg.f64 z)))) | |
| ✓ | 12.6% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 y t) (neg.f64 z)))) |
| 12.6% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 t y)) (neg.f64 z)))) | |
| 12.6% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) (neg.f64 z)))) | |
| 13.1% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (*.f64 y z) (/.f64 #s(literal -1 binary64) t)))) |
Compiled 4 095 to 1 648 computations (59.8% saved)
| Inputs |
|---|
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 y t) (neg.f64 z)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 z t) (neg.f64 y)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (*.f64 (neg.f64 y) z) 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) #s(approx (/ (- (exp z) 1) t) (/.f64 z t))))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 y t) x)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 z t) y))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (*.f64 y z) (/.f64 #s(literal -1 binary64) t)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (neg.f64 z) (/.f64 t y)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) (neg.f64 z)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) x)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 t y)) (neg.f64 z)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (neg.f64 y) z))))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (neg.f64 x) (*.f64 y (/.f64 z (*.f64 t x))) x))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (neg.f64 x) (/.f64 (*.f64 y z) (*.f64 t x)) x))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (/.f64 t y)) x)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (fma.f64 (/.f64 (neg.f64 y) x) (/.f64 z t) #s(literal 1 binary64)) x))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (neg.f64 x) (*.f64 (/.f64 y x) (/.f64 z t)) x))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (neg.f64 x) (/.f64 (*.f64 (/.f64 y x) z) t) x))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (/.f64 y x) (*.f64 (/.f64 z t) (neg.f64 x)) x))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (/.f64 z t) (*.f64 (/.f64 y x) (neg.f64 x)) x))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y) z)) (neg.f64 t))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) z) y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) y)) z)) t)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (*.f64 (/.f64 (*.f64 (neg.f64 y) y) (+.f64 #s(literal 0 binary64) y)) z) t))) |
(-.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)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 t)) (*.f64 (neg.f64 t) y)) (*.f64 t t)) (neg.f64 z)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) #s(approx (* (neg y) (/ (- (exp z) 1) t)) (*.f64 (fma.f64 (*.f64 z #s(literal -1/2 binary64)) (/.f64 y t) (/.f64 (neg.f64 y) t)) z)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 y) #s(approx (/ (- (exp z) 1) t) (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) t) z (/.f64 #s(literal 1 binary64) t)) z))))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (neg.f64 x) (/.f64 (/.f64 z t) (/.f64 x y)) x))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 t)) (*.f64 (neg.f64 t) y)) (*.f64 t t)) x)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) y)) z y) z)) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (fma.f64 z (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) y)) z y) z)) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.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) #s(approx (* (- y (* y y)) 1/2) (*.f64 #s(literal 1/2 binary64) y))) z y) z)) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.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)) 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) #s(approx (/ (- (exp z) 1) t) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (/.f64 z t) (/.f64 #s(literal 1/6 binary64) t)) z (/.f64 #s(literal 1/2 binary64) t)) z (/.f64 #s(literal 1 binary64) t)) z))))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 y (*.f64 (pow.f64 t #s(literal -1 binary64)) (neg.f64 z)) x)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (*.f64 (neg.f64 z) y) (pow.f64 t #s(literal -1 binary64)) x)) |
(-.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)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (*.f64 (expm1.f64 z) y)) (neg.f64 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)) |
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 #s(approx (+ (* (exp z) y) (neg y)) (*.f64 y z))) x) |
(+.f64 (/.f64 (log1p.f64 (fma.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) y (neg.f64 y))) (neg.f64 t)) x) |
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (-.f64 (*.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) y) y)) x) |
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (fma.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) y (neg.f64 y))) x) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) y)) (neg.f64 t))) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* (* z y) 1/2) y) z) 1) (*.f64 (*.f64 (*.f64 z z) y) #s(literal 1/2 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)) |
#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 (fma.f64 (exp.f64 z) t (neg.f64 t)) (*.f64 t 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 (/.f64 #s(literal -1 binary64) t) (log1p.f64 #s(approx (+ (* (exp z) y) (neg y)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y))) x) |
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) y)) x) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) y)) (neg.f64 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)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) y)) (neg.f64 t))) |
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 #s(approx (+ (* (exp z) y) (neg y)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y z) (*.f64 #s(literal 1/6 binary64) y)) z (*.f64 #s(literal 1/2 binary64) y)) z y) z))) x) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.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)) 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 y (expm1.f64 z))))) |
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 (expm1.f64 z) y)) x) |
(-.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) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (-.f64 x (*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (/.f64 x (*.f64 t x))))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x)) (neg.f64 x) x)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (neg.f64 (fma.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 x t)) x (neg.f64 x)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (neg.f64 (fma.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) x) (/.f64 x t) (neg.f64 x)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (neg.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 t x) (log1p.f64 (*.f64 y (expm1.f64 z))))) x (neg.f64 x)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (neg.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 t (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) x))) x (neg.f64 x)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 x (log1p.f64 (*.f64 y (expm1.f64 z)))) t) (+.f64 #s(literal 0 binary64) x) (*.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x x)))) (*.f64 x (+.f64 #s(literal 0 binary64) x))))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (+.f64 (log.f64 y) (log.f64 (expm1.f64 z)))) (neg.f64 t))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (+.f64 (log.f64 y) (log.f64 (expm1.f64 z)))) t)) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y z) y) z #s(literal 1 binary64))))) #s(literal -2 binary64))) (+.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y z) y) z #s(literal 1 binary64)))) t) x)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (*.f64 (/.f64 #s(literal -1 binary64) t) (pow.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(-.f64 x (/.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 x (*.f64 (pow.f64 t #s(literal -1 binary64)) (pow.f64 (pow.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))) #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(-.f64 x (*.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 (-.f64 (*.f64 x x) (pow.f64 (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y)))) #s(literal -2 binary64))) (+.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))) t) x)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (-.f64 (log1p.f64 (pow.f64 (*.f64 y (expm1.f64 z)) #s(literal 3 binary64))) (log1p.f64 (*.f64 (*.f64 y (expm1.f64 z)) (-.f64 (*.f64 y (expm1.f64 z)) #s(literal 1 binary64))))) (neg.f64 t))) |
(-.f64 x (*.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)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) t) (-.f64 (log1p.f64 (pow.f64 (*.f64 (expm1.f64 z) y) #s(literal 3 binary64))) (log1p.f64 (-.f64 (pow.f64 (*.f64 (expm1.f64 z) y) #s(literal 2 binary64)) (*.f64 (expm1.f64 z) y)))) x) |
| Outputs |
|---|
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 (expm1.f64 z) y)) x) |
9 calls:
| 58.0ms | z |
| 52.0ms | y |
| 49.0ms | t |
| 45.0ms | (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) |
| 30.0ms | (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.7% | 1 | x |
| 97.7% | 1 | y |
| 97.7% | 1 | z |
| 97.7% | 1 | t |
| 97.7% | 1 | (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) |
| 97.7% | 1 | (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) |
| 97.7% | 1 | (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) |
| 97.7% | 1 | (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) |
| 97.7% | 1 | (exp.f64 z) |
Compiled 47 to 63 computations (-34% saved)
| Inputs |
|---|
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 y t) (neg.f64 z)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 z t) (neg.f64 y)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (*.f64 (neg.f64 y) z) 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) #s(approx (/ (- (exp z) 1) t) (/.f64 z t))))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 y t) x)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 z t) y))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (*.f64 y z) (/.f64 #s(literal -1 binary64) t)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (neg.f64 z) (/.f64 t y)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) (neg.f64 z)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) x)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 t y)) (neg.f64 z)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (neg.f64 y) z))))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (neg.f64 x) (*.f64 y (/.f64 z (*.f64 t x))) x))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (neg.f64 x) (/.f64 (*.f64 y z) (*.f64 t x)) x))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (/.f64 t y)) x)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (fma.f64 (/.f64 (neg.f64 y) x) (/.f64 z t) #s(literal 1 binary64)) x))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (neg.f64 x) (*.f64 (/.f64 y x) (/.f64 z t)) x))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (neg.f64 x) (/.f64 (*.f64 (/.f64 y x) z) t) x))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (/.f64 y x) (*.f64 (/.f64 z t) (neg.f64 x)) x))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (/.f64 z t) (*.f64 (/.f64 y x) (neg.f64 x)) x))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y) z)) (neg.f64 t))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) z) y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) y)) z)) t)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (*.f64 (/.f64 (*.f64 (neg.f64 y) y) (+.f64 #s(literal 0 binary64) y)) z) t))) |
(-.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)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 t)) (*.f64 (neg.f64 t) y)) (*.f64 t t)) (neg.f64 z)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) #s(approx (* (neg y) (/ (- (exp z) 1) t)) (*.f64 (fma.f64 (*.f64 z #s(literal -1/2 binary64)) (/.f64 y t) (/.f64 (neg.f64 y) t)) z)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 y) #s(approx (/ (- (exp z) 1) t) (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) t) z (/.f64 #s(literal 1 binary64) t)) z))))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (neg.f64 x) (/.f64 (/.f64 z t) (/.f64 x y)) x))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 t)) (*.f64 (neg.f64 t) y)) (*.f64 t t)) x)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) y)) z y) z)) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (fma.f64 z (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) y)) z y) z)) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.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) #s(approx (* (- y (* y y)) 1/2) (*.f64 #s(literal 1/2 binary64) y))) z y) z)) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.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)) 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) #s(approx (/ (- (exp z) 1) t) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (/.f64 z t) (/.f64 #s(literal 1/6 binary64) t)) z (/.f64 #s(literal 1/2 binary64) t)) z (/.f64 #s(literal 1 binary64) t)) z))))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 y (*.f64 (pow.f64 t #s(literal -1 binary64)) (neg.f64 z)) x)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (*.f64 (neg.f64 z) y) (pow.f64 t #s(literal -1 binary64)) x)) |
(-.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)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (*.f64 (expm1.f64 z) y)) (neg.f64 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)) |
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 #s(approx (+ (* (exp z) y) (neg y)) (*.f64 y z))) x) |
(+.f64 (/.f64 (log1p.f64 (fma.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) y (neg.f64 y))) (neg.f64 t)) x) |
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (-.f64 (*.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) y) y)) x) |
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (fma.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) y (neg.f64 y))) x) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) y)) (neg.f64 t))) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* (* z y) 1/2) y) z) 1) (*.f64 (*.f64 (*.f64 z z) y) #s(literal 1/2 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)) |
#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 (fma.f64 (exp.f64 z) t (neg.f64 t)) (*.f64 t 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 (/.f64 #s(literal -1 binary64) t) (log1p.f64 #s(approx (+ (* (exp z) y) (neg y)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y))) x) |
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) y)) x) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) y)) (neg.f64 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)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) y)) (neg.f64 t))) |
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 #s(approx (+ (* (exp z) y) (neg y)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y z) (*.f64 #s(literal 1/6 binary64) y)) z (*.f64 #s(literal 1/2 binary64) y)) z y) z))) x) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.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)) 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 y (expm1.f64 z))))) |
| Outputs |
|---|
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 #s(approx (+ (* (exp z) y) (neg y)) (*.f64 y z))) x) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))) t)) |
9 calls:
| 119.0ms | (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) |
| 20.0ms | x |
| 20.0ms | y |
| 20.0ms | z |
| 18.0ms | t |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.7% | 1 | x |
| 93.6% | 3 | y |
| 90.4% | 2 | z |
| 84.1% | 2 | t |
| 89.2% | 3 | (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) |
| 97.9% | 5 | (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) |
| 98.7% | 3 | (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) |
| 98.7% | 3 | (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) |
| 90.4% | 2 | (exp.f64 z) |
Compiled 47 to 63 computations (-34% saved)
| Inputs |
|---|
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 y t) (neg.f64 z)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 z t) (neg.f64 y)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (*.f64 (neg.f64 y) z) 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) #s(approx (/ (- (exp z) 1) t) (/.f64 z t))))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 y t) x)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 z t) y))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (*.f64 y z) (/.f64 #s(literal -1 binary64) t)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (neg.f64 z) (/.f64 t y)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) (neg.f64 z)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) x)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 t y)) (neg.f64 z)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (neg.f64 y) z))))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (neg.f64 x) (*.f64 y (/.f64 z (*.f64 t x))) x))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (neg.f64 x) (/.f64 (*.f64 y z) (*.f64 t x)) x))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (/.f64 t y)) x)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (fma.f64 (/.f64 (neg.f64 y) x) (/.f64 z t) #s(literal 1 binary64)) x))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (neg.f64 x) (*.f64 (/.f64 y x) (/.f64 z t)) x))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (neg.f64 x) (/.f64 (*.f64 (/.f64 y x) z) t) x))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (/.f64 y x) (*.f64 (/.f64 z t) (neg.f64 x)) x))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (/.f64 z t) (*.f64 (/.f64 y x) (neg.f64 x)) x))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y) z)) (neg.f64 t))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) z) y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) y)) z)) t)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (*.f64 (/.f64 (*.f64 (neg.f64 y) y) (+.f64 #s(literal 0 binary64) y)) z) t))) |
(-.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)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 t)) (*.f64 (neg.f64 t) y)) (*.f64 t t)) (neg.f64 z)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) #s(approx (* (neg y) (/ (- (exp z) 1) t)) (*.f64 (fma.f64 (*.f64 z #s(literal -1/2 binary64)) (/.f64 y t) (/.f64 (neg.f64 y) t)) z)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 y) #s(approx (/ (- (exp z) 1) t) (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) t) z (/.f64 #s(literal 1 binary64) t)) z))))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (neg.f64 x) (/.f64 (/.f64 z t) (/.f64 x y)) x))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 t)) (*.f64 (neg.f64 t) y)) (*.f64 t t)) x)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) y)) z y) z)) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (fma.f64 z (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) y)) z y) z)) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.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) #s(approx (* (- y (* y y)) 1/2) (*.f64 #s(literal 1/2 binary64) y))) z y) z)) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.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)) 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) #s(approx (/ (- (exp z) 1) t) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (/.f64 z t) (/.f64 #s(literal 1/6 binary64) t)) z (/.f64 #s(literal 1/2 binary64) t)) z (/.f64 #s(literal 1 binary64) t)) z))))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 y (*.f64 (pow.f64 t #s(literal -1 binary64)) (neg.f64 z)) x)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (*.f64 (neg.f64 z) y) (pow.f64 t #s(literal -1 binary64)) x)) |
(-.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)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (*.f64 (expm1.f64 z) y)) (neg.f64 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)) |
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 #s(approx (+ (* (exp z) y) (neg y)) (*.f64 y z))) x) |
(+.f64 (/.f64 (log1p.f64 (fma.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) y (neg.f64 y))) (neg.f64 t)) x) |
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (-.f64 (*.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) y) y)) x) |
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (fma.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) y (neg.f64 y))) x) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) y)) (neg.f64 t))) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* (* z y) 1/2) y) z) 1) (*.f64 (*.f64 (*.f64 z z) y) #s(literal 1/2 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)) |
#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 (fma.f64 (exp.f64 z) t (neg.f64 t)) (*.f64 t 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 (/.f64 #s(literal -1 binary64) t) (log1p.f64 #s(approx (+ (* (exp z) y) (neg y)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y))) x) |
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) y)) x) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) y)) (neg.f64 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)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) y)) (neg.f64 t))) |
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 #s(approx (+ (* (exp z) y) (neg y)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y z) (*.f64 #s(literal 1/6 binary64) y)) z (*.f64 #s(literal 1/2 binary64) y)) z y) z))) x) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.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)) t)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t))) |
| Outputs |
|---|
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 #s(approx (+ (* (exp z) y) (neg y)) (*.f64 y z))) x) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t))) |
4 calls:
| 24.0ms | (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) |
| 17.0ms | y |
| 17.0ms | (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) |
| 14.0ms | (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.5% | 3 | y |
| 94.9% | 5 | (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) |
| 93.0% | 3 | (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) |
| 93.0% | 3 | (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) |
Compiled 29 to 34 computations (-17.2% saved)
| Inputs |
|---|
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 y t) (neg.f64 z)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 z t) (neg.f64 y)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (*.f64 (neg.f64 y) z) 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) #s(approx (/ (- (exp z) 1) t) (/.f64 z t))))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 y t) x)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 z t) y))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (*.f64 y z) (/.f64 #s(literal -1 binary64) t)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (neg.f64 z) (/.f64 t y)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) (neg.f64 z)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) x)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 t y)) (neg.f64 z)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (neg.f64 y) z))))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (neg.f64 x) (*.f64 y (/.f64 z (*.f64 t x))) x))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (neg.f64 x) (/.f64 (*.f64 y z) (*.f64 t x)) x))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (/.f64 t y)) x)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (fma.f64 (/.f64 (neg.f64 y) x) (/.f64 z t) #s(literal 1 binary64)) x))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (neg.f64 x) (*.f64 (/.f64 y x) (/.f64 z t)) x))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (neg.f64 x) (/.f64 (*.f64 (/.f64 y x) z) t) x))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (/.f64 y x) (*.f64 (/.f64 z t) (neg.f64 x)) x))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (/.f64 z t) (*.f64 (/.f64 y x) (neg.f64 x)) x))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y) z)) (neg.f64 t))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) z) y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) y)) z)) t)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (*.f64 (/.f64 (*.f64 (neg.f64 y) y) (+.f64 #s(literal 0 binary64) y)) z) t))) |
(-.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)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 t)) (*.f64 (neg.f64 t) y)) (*.f64 t t)) (neg.f64 z)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) #s(approx (* (neg y) (/ (- (exp z) 1) t)) (*.f64 (fma.f64 (*.f64 z #s(literal -1/2 binary64)) (/.f64 y t) (/.f64 (neg.f64 y) t)) z)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 y) #s(approx (/ (- (exp z) 1) t) (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) t) z (/.f64 #s(literal 1 binary64) t)) z))))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (neg.f64 x) (/.f64 (/.f64 z t) (/.f64 x y)) x))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 t)) (*.f64 (neg.f64 t) y)) (*.f64 t t)) x)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) y)) z y) z)) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (fma.f64 z (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) y)) z y) z)) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.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) #s(approx (* (- y (* y y)) 1/2) (*.f64 #s(literal 1/2 binary64) y))) z y) z)) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.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)) 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) #s(approx (/ (- (exp z) 1) t) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (/.f64 z t) (/.f64 #s(literal 1/6 binary64) t)) z (/.f64 #s(literal 1/2 binary64) t)) z (/.f64 #s(literal 1 binary64) t)) z))))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 y (*.f64 (pow.f64 t #s(literal -1 binary64)) (neg.f64 z)) x)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (*.f64 (neg.f64 z) y) (pow.f64 t #s(literal -1 binary64)) x)) |
(-.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)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (*.f64 (expm1.f64 z) y)) (neg.f64 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)) |
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 #s(approx (+ (* (exp z) y) (neg y)) (*.f64 y z))) x) |
(+.f64 (/.f64 (log1p.f64 (fma.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) y (neg.f64 y))) (neg.f64 t)) x) |
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (-.f64 (*.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) y) y)) x) |
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (fma.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) y (neg.f64 y))) x) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) y)) (neg.f64 t))) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* (* z y) 1/2) y) z) 1) (*.f64 (*.f64 (*.f64 z z) y) #s(literal 1/2 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)) |
#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 (fma.f64 (exp.f64 z) t (neg.f64 t)) (*.f64 t 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 (/.f64 #s(literal -1 binary64) t) (log1p.f64 #s(approx (+ (* (exp z) y) (neg y)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y))) x) |
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) y)) x) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) y)) (neg.f64 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)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) y)) (neg.f64 t))) |
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 #s(approx (+ (* (exp z) y) (neg y)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y z) (*.f64 #s(literal 1/6 binary64) y)) z (*.f64 #s(literal 1/2 binary64) y)) z y) z))) x) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.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)) t)) |
| Outputs |
|---|
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t)) |
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 #s(approx (+ (* (exp z) y) (neg y)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y z) (*.f64 #s(literal 1/6 binary64) y)) z (*.f64 #s(literal 1/2 binary64) y)) z y) z))) x) |
4 calls:
| 89.0ms | (exp.f64 z) |
| 16.0ms | z |
| 15.0ms | (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) |
| 13.0ms | (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.4% | 2 | z |
| 90.4% | 2 | (exp.f64 z) |
| 90.9% | 3 | (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) |
| 90.9% | 3 | (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) |
Compiled 20 to 28 computations (-40% saved)
| Inputs |
|---|
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 y t) (neg.f64 z)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 z t) (neg.f64 y)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (*.f64 (neg.f64 y) z) 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) #s(approx (/ (- (exp z) 1) t) (/.f64 z t))))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 y t) x)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 z t) y))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (*.f64 y z) (/.f64 #s(literal -1 binary64) t)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (neg.f64 z) (/.f64 t y)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) (neg.f64 z)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) x)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 t y)) (neg.f64 z)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (neg.f64 y) z))))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (neg.f64 x) (*.f64 y (/.f64 z (*.f64 t x))) x))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (neg.f64 x) (/.f64 (*.f64 y z) (*.f64 t x)) x))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (/.f64 t y)) x)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (fma.f64 (/.f64 (neg.f64 y) x) (/.f64 z t) #s(literal 1 binary64)) x))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (neg.f64 x) (*.f64 (/.f64 y x) (/.f64 z t)) x))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (neg.f64 x) (/.f64 (*.f64 (/.f64 y x) z) t) x))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (/.f64 y x) (*.f64 (/.f64 z t) (neg.f64 x)) x))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (/.f64 z t) (*.f64 (/.f64 y x) (neg.f64 x)) x))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y) z)) (neg.f64 t))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) z) y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) y)) z)) t)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (*.f64 (/.f64 (*.f64 (neg.f64 y) y) (+.f64 #s(literal 0 binary64) y)) z) t))) |
(-.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)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 t)) (*.f64 (neg.f64 t) y)) (*.f64 t t)) (neg.f64 z)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) #s(approx (* (neg y) (/ (- (exp z) 1) t)) (*.f64 (fma.f64 (*.f64 z #s(literal -1/2 binary64)) (/.f64 y t) (/.f64 (neg.f64 y) t)) z)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 y) #s(approx (/ (- (exp z) 1) t) (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) t) z (/.f64 #s(literal 1 binary64) t)) z))))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (neg.f64 x) (/.f64 (/.f64 z t) (/.f64 x y)) x))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 t)) (*.f64 (neg.f64 t) y)) (*.f64 t t)) x)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) y)) z y) z)) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (fma.f64 z (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) y)) z y) z)) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.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) #s(approx (* (- y (* y y)) 1/2) (*.f64 #s(literal 1/2 binary64) y))) z y) z)) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.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)) 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) #s(approx (/ (- (exp z) 1) t) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (/.f64 z t) (/.f64 #s(literal 1/6 binary64) t)) z (/.f64 #s(literal 1/2 binary64) t)) z (/.f64 #s(literal 1 binary64) t)) z))))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 y (*.f64 (pow.f64 t #s(literal -1 binary64)) (neg.f64 z)) x)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (*.f64 (neg.f64 z) y) (pow.f64 t #s(literal -1 binary64)) x)) |
(-.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)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (*.f64 (expm1.f64 z) y)) (neg.f64 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)) |
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 #s(approx (+ (* (exp z) y) (neg y)) (*.f64 y z))) x) |
(+.f64 (/.f64 (log1p.f64 (fma.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) y (neg.f64 y))) (neg.f64 t)) x) |
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (-.f64 (*.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) y) y)) x) |
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (fma.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) y (neg.f64 y))) x) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) y)) (neg.f64 t))) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* (* z y) 1/2) y) z) 1) (*.f64 (*.f64 (*.f64 z z) y) #s(literal 1/2 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)) |
#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 (fma.f64 (exp.f64 z) t (neg.f64 t)) (*.f64 t 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 (/.f64 #s(literal -1 binary64) t) (log1p.f64 #s(approx (+ (* (exp z) y) (neg y)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y))) x) |
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) y)) x) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) y)) (neg.f64 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)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) y)) (neg.f64 t))) |
| Outputs |
|---|
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t)) |
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 #s(approx (+ (* (exp z) y) (neg y)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y))) x) |
2 calls:
| 23.0ms | z |
| 13.0ms | (exp.f64 z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.2% | 2 | z |
| 90.2% | 2 | (exp.f64 z) |
Compiled 3 to 9 computations (-200% saved)
| Inputs |
|---|
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 y t) (neg.f64 z)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 z t) (neg.f64 y)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (*.f64 (neg.f64 y) z) 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) #s(approx (/ (- (exp z) 1) t) (/.f64 z t))))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 y t) x)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 z t) y))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (*.f64 y z) (/.f64 #s(literal -1 binary64) t)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (neg.f64 z) (/.f64 t y)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) (neg.f64 z)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) x)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 t y)) (neg.f64 z)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (neg.f64 y) z))))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (neg.f64 x) (*.f64 y (/.f64 z (*.f64 t x))) x))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (neg.f64 x) (/.f64 (*.f64 y z) (*.f64 t x)) x))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (/.f64 t y)) x)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (fma.f64 (/.f64 (neg.f64 y) x) (/.f64 z t) #s(literal 1 binary64)) x))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (neg.f64 x) (*.f64 (/.f64 y x) (/.f64 z t)) x))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (neg.f64 x) (/.f64 (*.f64 (/.f64 y x) z) t) x))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (/.f64 y x) (*.f64 (/.f64 z t) (neg.f64 x)) x))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (/.f64 z t) (*.f64 (/.f64 y x) (neg.f64 x)) x))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y) z)) (neg.f64 t))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) z) y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) y)) z)) t)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (*.f64 (/.f64 (*.f64 (neg.f64 y) y) (+.f64 #s(literal 0 binary64) y)) z) t))) |
(-.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)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 t)) (*.f64 (neg.f64 t) y)) (*.f64 t t)) (neg.f64 z)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) #s(approx (* (neg y) (/ (- (exp z) 1) t)) (*.f64 (fma.f64 (*.f64 z #s(literal -1/2 binary64)) (/.f64 y t) (/.f64 (neg.f64 y) t)) z)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 y) #s(approx (/ (- (exp z) 1) t) (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) t) z (/.f64 #s(literal 1 binary64) t)) z))))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (neg.f64 x) (/.f64 (/.f64 z t) (/.f64 x y)) x))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 t)) (*.f64 (neg.f64 t) y)) (*.f64 t t)) x)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) y)) z y) z)) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (fma.f64 z (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) y)) z y) z)) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.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) #s(approx (* (- y (* y y)) 1/2) (*.f64 #s(literal 1/2 binary64) y))) z y) z)) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.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)) 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) #s(approx (/ (- (exp z) 1) t) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (/.f64 z t) (/.f64 #s(literal 1/6 binary64) t)) z (/.f64 #s(literal 1/2 binary64) t)) z (/.f64 #s(literal 1 binary64) t)) z))))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 y (*.f64 (pow.f64 t #s(literal -1 binary64)) (neg.f64 z)) x)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (*.f64 (neg.f64 z) y) (pow.f64 t #s(literal -1 binary64)) x)) |
(-.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)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (*.f64 (expm1.f64 z) y)) (neg.f64 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)) |
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 #s(approx (+ (* (exp z) y) (neg y)) (*.f64 y z))) x) |
(+.f64 (/.f64 (log1p.f64 (fma.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) y (neg.f64 y))) (neg.f64 t)) x) |
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (-.f64 (*.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) y) y)) x) |
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (fma.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) y (neg.f64 y))) x) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) y)) (neg.f64 t))) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* (* z y) 1/2) y) z) 1) (*.f64 (*.f64 (*.f64 z z) y) #s(literal 1/2 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)) |
#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 (fma.f64 (exp.f64 z) t (neg.f64 t)) (*.f64 t 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)) |
| Outputs |
|---|
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t)) |
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 #s(approx (+ (* (exp z) y) (neg y)) (*.f64 y z))) x) |
3 calls:
| 20.0ms | z |
| 12.0ms | (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) |
| 12.0ms | (exp.f64 z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.6% | 3 | (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) |
| 90.0% | 2 | z |
| 90.0% | 2 | (exp.f64 z) |
Compiled 14 to 20 computations (-42.9% saved)
| Inputs |
|---|
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 y t) (neg.f64 z)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 z t) (neg.f64 y)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (*.f64 (neg.f64 y) z) 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) #s(approx (/ (- (exp z) 1) t) (/.f64 z t))))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 y t) x)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 z t) y))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (*.f64 y z) (/.f64 #s(literal -1 binary64) t)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (neg.f64 z) (/.f64 t y)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) (neg.f64 z)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) x)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 t y)) (neg.f64 z)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (neg.f64 y) z))))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (neg.f64 x) (*.f64 y (/.f64 z (*.f64 t x))) x))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (neg.f64 x) (/.f64 (*.f64 y z) (*.f64 t x)) x))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (/.f64 t y)) x)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (fma.f64 (/.f64 (neg.f64 y) x) (/.f64 z t) #s(literal 1 binary64)) x))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (neg.f64 x) (*.f64 (/.f64 y x) (/.f64 z t)) x))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (neg.f64 x) (/.f64 (*.f64 (/.f64 y x) z) t) x))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (/.f64 y x) (*.f64 (/.f64 z t) (neg.f64 x)) x))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (/.f64 z t) (*.f64 (/.f64 y x) (neg.f64 x)) x))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y) z)) (neg.f64 t))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) z) y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) y)) z)) t)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (*.f64 (/.f64 (*.f64 (neg.f64 y) y) (+.f64 #s(literal 0 binary64) y)) z) t))) |
(-.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)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 t)) (*.f64 (neg.f64 t) y)) (*.f64 t t)) (neg.f64 z)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) #s(approx (* (neg y) (/ (- (exp z) 1) t)) (*.f64 (fma.f64 (*.f64 z #s(literal -1/2 binary64)) (/.f64 y t) (/.f64 (neg.f64 y) t)) z)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 y) #s(approx (/ (- (exp z) 1) t) (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) t) z (/.f64 #s(literal 1 binary64) t)) z))))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (neg.f64 x) (/.f64 (/.f64 z t) (/.f64 x y)) x))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 t)) (*.f64 (neg.f64 t) y)) (*.f64 t t)) x)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) y)) z y) z)) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (fma.f64 z (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) y)) z y) z)) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.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) #s(approx (* (- y (* y y)) 1/2) (*.f64 #s(literal 1/2 binary64) y))) z y) z)) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.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)) 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) #s(approx (/ (- (exp z) 1) t) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (/.f64 z t) (/.f64 #s(literal 1/6 binary64) t)) z (/.f64 #s(literal 1/2 binary64) t)) z (/.f64 #s(literal 1 binary64) t)) z))))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 y (*.f64 (pow.f64 t #s(literal -1 binary64)) (neg.f64 z)) x)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (*.f64 (neg.f64 z) y) (pow.f64 t #s(literal -1 binary64)) x)) |
(-.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)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (*.f64 (expm1.f64 z) y)) (neg.f64 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)) |
| Outputs |
|---|
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t)) |
7 calls:
| 72.0ms | z |
| 18.0ms | (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) |
| 17.0ms | (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) |
| 12.0ms | y |
| 10.0ms | (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 83.8% | 2 | (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) |
| 87.4% | 3 | y |
| 83.9% | 2 | (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) |
| 83.8% | 2 | (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) |
| 83.8% | 2 | (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) |
| 84.3% | 2 | z |
| 81.7% | 1 | (exp.f64 z) |
Compiled 45 to 55 computations (-22.2% saved)
| Inputs |
|---|
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 y t) (neg.f64 z)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 z t) (neg.f64 y)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (*.f64 (neg.f64 y) z) 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) #s(approx (/ (- (exp z) 1) t) (/.f64 z t))))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 y t) x)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 z t) y))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (*.f64 y z) (/.f64 #s(literal -1 binary64) t)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (neg.f64 z) (/.f64 t y)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) (neg.f64 z)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) x)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 t y)) (neg.f64 z)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (neg.f64 y) z))))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (neg.f64 x) (*.f64 y (/.f64 z (*.f64 t x))) x))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (neg.f64 x) (/.f64 (*.f64 y z) (*.f64 t x)) x))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (/.f64 t y)) x)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (fma.f64 (/.f64 (neg.f64 y) x) (/.f64 z t) #s(literal 1 binary64)) x))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (neg.f64 x) (*.f64 (/.f64 y x) (/.f64 z t)) x))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (neg.f64 x) (/.f64 (*.f64 (/.f64 y x) z) t) x))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (/.f64 y x) (*.f64 (/.f64 z t) (neg.f64 x)) x))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (/.f64 z t) (*.f64 (/.f64 y x) (neg.f64 x)) x))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y) z)) (neg.f64 t))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) z) y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) y)) z)) t)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (*.f64 (/.f64 (*.f64 (neg.f64 y) y) (+.f64 #s(literal 0 binary64) y)) z) t))) |
(-.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)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 t)) (*.f64 (neg.f64 t) y)) (*.f64 t t)) (neg.f64 z)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) #s(approx (* (neg y) (/ (- (exp z) 1) t)) (*.f64 (fma.f64 (*.f64 z #s(literal -1/2 binary64)) (/.f64 y t) (/.f64 (neg.f64 y) t)) z)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 y) #s(approx (/ (- (exp z) 1) t) (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) t) z (/.f64 #s(literal 1 binary64) t)) z))))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (neg.f64 x) (/.f64 (/.f64 z t) (/.f64 x y)) x))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 t)) (*.f64 (neg.f64 t) y)) (*.f64 t t)) x)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) y)) z y) z)) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (fma.f64 z (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) y)) z y) z)) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.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) #s(approx (* (- y (* y y)) 1/2) (*.f64 #s(literal 1/2 binary64) y))) z y) z)) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.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)) 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) #s(approx (/ (- (exp z) 1) t) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (/.f64 z t) (/.f64 #s(literal 1/6 binary64) t)) z (/.f64 #s(literal 1/2 binary64) t)) z (/.f64 #s(literal 1 binary64) t)) z))))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 y (*.f64 (pow.f64 t #s(literal -1 binary64)) (neg.f64 z)) x)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (*.f64 (neg.f64 z) y) (pow.f64 t #s(literal -1 binary64)) x)) |
(-.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)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (*.f64 (expm1.f64 z) y)) (neg.f64 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 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t)) |
7 calls:
| 44.0ms | t |
| 18.0ms | (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) |
| 12.0ms | y |
| 12.0ms | z |
| 10.0ms | (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) |
| Accuracy | Segments | Branch |
|---|---|---|
| 83.8% | 2 | (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) |
| 83.8% | 2 | (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) |
| 81.7% | 1 | (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) |
| 81.7% | 1 | (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) |
| 83.4% | 2 | t |
| 81.7% | 1 | z |
| 81.7% | 1 | y |
Compiled 44 to 54 computations (-22.7% saved)
| Inputs |
|---|
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 y t) (neg.f64 z)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 z t) (neg.f64 y)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (*.f64 (neg.f64 y) z) 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) #s(approx (/ (- (exp z) 1) t) (/.f64 z t))))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 y t) x)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 z t) y))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (*.f64 y z) (/.f64 #s(literal -1 binary64) t)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (neg.f64 z) (/.f64 t y)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) (neg.f64 z)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) x)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 t y)) (neg.f64 z)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (neg.f64 y) z))))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (neg.f64 x) (*.f64 y (/.f64 z (*.f64 t x))) x))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (neg.f64 x) (/.f64 (*.f64 y z) (*.f64 t x)) x))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (/.f64 t y)) x)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (fma.f64 (/.f64 (neg.f64 y) x) (/.f64 z t) #s(literal 1 binary64)) x))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (neg.f64 x) (*.f64 (/.f64 y x) (/.f64 z t)) x))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (neg.f64 x) (/.f64 (*.f64 (/.f64 y x) z) t) x))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (/.f64 y x) (*.f64 (/.f64 z t) (neg.f64 x)) x))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (/.f64 z t) (*.f64 (/.f64 y x) (neg.f64 x)) x))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y) z)) (neg.f64 t))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) z) y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) y)) z)) t)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (*.f64 (/.f64 (*.f64 (neg.f64 y) y) (+.f64 #s(literal 0 binary64) y)) z) t))) |
(-.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)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 t)) (*.f64 (neg.f64 t) y)) (*.f64 t t)) (neg.f64 z)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) #s(approx (* (neg y) (/ (- (exp z) 1) t)) (*.f64 (fma.f64 (*.f64 z #s(literal -1/2 binary64)) (/.f64 y t) (/.f64 (neg.f64 y) t)) z)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 y) #s(approx (/ (- (exp z) 1) t) (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) t) z (/.f64 #s(literal 1 binary64) t)) z))))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (neg.f64 x) (/.f64 (/.f64 z t) (/.f64 x y)) x))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 t)) (*.f64 (neg.f64 t) y)) (*.f64 t t)) x)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) y)) z y) z)) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (fma.f64 z (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) y)) z y) z)) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.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) #s(approx (* (- y (* y y)) 1/2) (*.f64 #s(literal 1/2 binary64) y))) z y) z)) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.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)) 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) #s(approx (/ (- (exp z) 1) t) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (/.f64 z t) (/.f64 #s(literal 1/6 binary64) t)) z (/.f64 #s(literal 1/2 binary64) t)) z (/.f64 #s(literal 1 binary64) t)) z))))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 y (*.f64 (pow.f64 t #s(literal -1 binary64)) (neg.f64 z)) x)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (*.f64 (neg.f64 z) y) (pow.f64 t #s(literal -1 binary64)) x)) |
(-.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)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (*.f64 (expm1.f64 z) y)) (neg.f64 t))) |
| 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 z t) y))) |
9 calls:
| 30.0ms | y |
| 16.0ms | (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) |
| 16.0ms | t |
| 15.0ms | (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) |
| 13.0ms | (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) |
| Accuracy | Segments | Branch |
|---|---|---|
| 75.8% | 3 | x |
| 71.1% | 1 | y |
| 76.6% | 2 | z |
| 71.1% | 1 | (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) |
| 71.1% | 1 | (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) |
| 76.6% | 2 | (exp.f64 z) |
| 74.4% | 2 | t |
| 74.0% | 2 | (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) |
| 74.0% | 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 (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 y t) (neg.f64 z)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 z t) (neg.f64 y)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (*.f64 (neg.f64 y) z) 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) #s(approx (/ (- (exp z) 1) t) (/.f64 z t))))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 y t) x)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 z t) y))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (*.f64 y z) (/.f64 #s(literal -1 binary64) t)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (neg.f64 z) (/.f64 t y)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) (neg.f64 z)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) x)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 t y)) (neg.f64 z)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (neg.f64 y) z))))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (neg.f64 x) (*.f64 y (/.f64 z (*.f64 t x))) x))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (neg.f64 x) (/.f64 (*.f64 y z) (*.f64 t x)) x))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (/.f64 t y)) x)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (fma.f64 (/.f64 (neg.f64 y) x) (/.f64 z t) #s(literal 1 binary64)) x))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (neg.f64 x) (*.f64 (/.f64 y x) (/.f64 z t)) x))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (neg.f64 x) (/.f64 (*.f64 (/.f64 y x) z) t) x))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (/.f64 y x) (*.f64 (/.f64 z t) (neg.f64 x)) x))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (/.f64 z t) (*.f64 (/.f64 y x) (neg.f64 x)) x))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y) z)) (neg.f64 t))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) z) y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) y)) z)) t)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (*.f64 (/.f64 (*.f64 (neg.f64 y) y) (+.f64 #s(literal 0 binary64) y)) z) t))) |
(-.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)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 t)) (*.f64 (neg.f64 t) y)) (*.f64 t t)) (neg.f64 z)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) #s(approx (* (neg y) (/ (- (exp z) 1) t)) (*.f64 (fma.f64 (*.f64 z #s(literal -1/2 binary64)) (/.f64 y t) (/.f64 (neg.f64 y) t)) z)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 y) #s(approx (/ (- (exp z) 1) t) (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) t) z (/.f64 #s(literal 1 binary64) t)) z))))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (neg.f64 x) (/.f64 (/.f64 z t) (/.f64 x y)) x))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 t)) (*.f64 (neg.f64 t) y)) (*.f64 t t)) x)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) y)) z y) z)) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (fma.f64 z (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) y)) z y) z)) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.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) #s(approx (* (- y (* y y)) 1/2) (*.f64 #s(literal 1/2 binary64) y))) z y) z)) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.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)) 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) #s(approx (/ (- (exp z) 1) t) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (/.f64 z t) (/.f64 #s(literal 1/6 binary64) t)) z (/.f64 #s(literal 1/2 binary64) t)) z (/.f64 #s(literal 1 binary64) t)) z))))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 y (*.f64 (pow.f64 t #s(literal -1 binary64)) (neg.f64 z)) x)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (*.f64 (neg.f64 z) y) (pow.f64 t #s(literal -1 binary64)) x)) |
| Outputs |
|---|
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 z t) y))) |
8 calls:
| 52.0ms | x |
| 19.0ms | z |
| 18.0ms | (exp.f64 z) |
| 15.0ms | (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) |
| 13.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 71.1% | 1 | y |
| 71.1% | 1 | (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) |
| 71.1% | 1 | (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) |
| 71.1% | 1 | (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) |
| 71.1% | 1 | x |
| 71.1% | 1 | t |
| 71.1% | 1 | (exp.f64 z) |
| 71.1% | 1 | z |
Compiled 34 to 51 computations (-50% saved)
| Inputs |
|---|
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 y t) (neg.f64 z)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 z t) (neg.f64 y)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (*.f64 (neg.f64 y) z) 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) #s(approx (/ (- (exp z) 1) t) (/.f64 z t))))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 y t) x)) |
| Outputs |
|---|
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 y t) x)) |
9 calls:
| 3.0ms | (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) |
| 2.0ms | z |
| 2.0ms | y |
| 2.0ms | t |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 70.1% | 1 | z |
| 70.1% | 1 | t |
| 70.1% | 1 | (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) |
| 70.1% | 1 | x |
| 70.1% | 1 | y |
| 70.1% | 1 | (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) |
| 70.1% | 1 | (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) |
| 70.1% | 1 | (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) |
| 70.1% | 1 | (exp.f64 z) |
Compiled 47 to 63 computations (-34% saved)
| Inputs |
|---|
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 y t) (neg.f64 z)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 z t) (neg.f64 y)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (*.f64 (neg.f64 y) z) 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) #s(approx (/ (- (exp z) 1) t) (/.f64 z t))))) |
| Outputs |
|---|
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 z t) (neg.f64 y)))) |
9 calls:
| 23.0ms | y |
| 2.0ms | t |
| 2.0ms | x |
| 2.0ms | z |
| 2.0ms | (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 14.3% | 1 | x |
| 14.3% | 1 | z |
| 14.3% | 1 | (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) |
| 14.3% | 1 | (exp.f64 z) |
| 14.3% | 1 | y |
| 14.3% | 1 | t |
| 14.3% | 1 | (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) |
| 14.3% | 1 | (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) |
| 14.3% | 1 | (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) |
Compiled 47 to 63 computations (-34% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 y t) (neg.f64 z)))) |
| Outputs |
|---|
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 y t) (neg.f64 z)))) |
9 calls:
| 1.0ms | (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) |
| 1.0ms | t |
| 1.0ms | x |
| 1.0ms | z |
| 1.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 12.6% | 1 | y |
| 12.6% | 1 | (exp.f64 z) |
| 12.6% | 1 | z |
| 12.6% | 1 | t |
| 12.6% | 1 | x |
| 12.6% | 1 | (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) |
| 12.6% | 1 | (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) |
| 12.6% | 1 | (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) |
| 12.6% | 1 | (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) |
Compiled 47 to 63 computations (-34% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0 | 120834384213.36903 |
| 0.0ms | 0.0 | 0.9966665277068406 |
Compiled 16 to 19 computations (-18.8% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 7.489568050165241e+68 | 1.8971375900641885e+81 |
| 0.0ms | 0.0 | 0.9966665277068406 |
Compiled 16 to 19 computations (-18.8% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 0.9860002597205016 |
Compiled 16 to 19 computations (-18.8% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9860002597205016 | 0.9923325913337068 |
Compiled 16 to 19 computations (-18.8% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9860002597205016 | 0.9923325913337068 |
Compiled 16 to 19 computations (-18.8% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 71.0ms | 4.108928478221631e+88 | 8.504358855546589e+97 |
| 0.0ms | -2.3122536291377113e+87 | -2.2496020882097216e+87 |
| 51.0ms | 138× | 1 | valid |
| 7.0ms | 102× | 0 | invalid |
| 3.0ms | 12× | 1 | invalid |
| 1.0ms | 6× | 0 | valid |
Compiled 358 to 316 computations (11.7% saved)
ival-exp: 18.0ms (36.6% of total)ival-log: 14.0ms (28.4% of total)ival-sub: 6.0ms (12.2% of total)adjust: 4.0ms (8.1% of total)ival-div: 3.0ms (6.1% of total)ival-mult: 3.0ms (6.1% of total)ival-add: 2.0ms (4.1% 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 | 1.8971375900641885e+81 | 6.872432396407685e+82 |
Compiled 16 to 19 computations (-18.8% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -2.9722234803055726e-5 | -2.9495664558952242e-5 |
Compiled 16 to 19 computations (-18.8% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 117 | 554 |
| 1 | 156 | 554 |
| 2 | 208 | 554 |
| 3 | 248 | 554 |
| 4 | 271 | 554 |
| 5 | 278 | 554 |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 (expm1.f64 z) y)) x) |
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) #s(literal 0 binary64)) (fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 #s(approx (+ (* (exp z) y) (neg y)) (*.f64 y z))) x) (if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) #s(literal 2 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 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 0 binary64)) (fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 #s(approx (+ (* (exp z) y) (neg y)) (*.f64 y z))) x) (if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) #s(literal 1000000000000000072531436381529235126158374409646521955518210155479040 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))) #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t))))) |
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t)) (fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 #s(approx (+ (* (exp z) y) (neg y)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y z) (*.f64 #s(literal 1/6 binary64) y)) z (*.f64 #s(literal 1/2 binary64) y)) z y) z))) x)) |
(if (<=.f64 (exp.f64 z) #s(literal 4458563631096791/4503599627370496 binary64)) (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t)) (fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 #s(approx (+ (* (exp z) y) (neg y)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y))) x)) |
(if (<=.f64 (exp.f64 z) #s(literal 4458563631096791/4503599627370496 binary64)) (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t)) (fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 #s(approx (+ (* (exp z) y) (neg y)) (*.f64 y z))) x)) |
(if (<=.f64 y #s(literal -2300000000000000171685525966363483719926216117629215685362984253898262741028125372579840 binary64)) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t)) (if (<=.f64 y #s(literal 359999999999999977636021641023194887453222514133064376372483593830897047698197645343370030088192 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t)))) |
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) #s(literal 1999999999999999842563759791331565483871006498118367703619996448246128296859795456 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t))) |
(if (<=.f64 z #s(literal -2176715800697727/73786976294838206464 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 z t) y)))) |
(-.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)) (fma.f64 (neg.f64 z) (/.f64 y t) x)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 z t) (neg.f64 y)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 y t) (neg.f64 z)))) |
| Outputs |
|---|
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 (expm1.f64 z) y)) x) |
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 y (expm1.f64 z))) x) |
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) #s(literal 0 binary64)) (fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 #s(approx (+ (* (exp z) y) (neg y)) (*.f64 y z))) x) (if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) #s(literal 2 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))) t)))) |
(if (<=.f64 (+.f64 (*.f64 (exp.f64 z) y) (-.f64 #s(literal 1 binary64) y)) #s(literal 0 binary64)) (fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 #s(approx (+ (* (exp z) y) (neg y)) (*.f64 y z))) x) (if (<=.f64 (+.f64 (*.f64 (exp.f64 z) y) (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 y (expm1.f64 z)))) t)))) |
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) #s(literal 0 binary64)) (fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 #s(approx (+ (* (exp z) y) (neg y)) (*.f64 y z))) x) (if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) #s(literal 1000000000000000072531436381529235126158374409646521955518210155479040 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))) #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t))))) |
(if (<=.f64 (+.f64 (*.f64 (exp.f64 z) y) (-.f64 #s(literal 1 binary64) y)) #s(literal 0 binary64)) (fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 #s(approx (+ (* (exp z) y) (neg y)) (*.f64 y z))) x) (if (<=.f64 (+.f64 (*.f64 (exp.f64 z) y) (-.f64 #s(literal 1 binary64) y)) #s(literal 1000000000000000072531436381529235126158374409646521955518210155479040 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))) #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t))))) |
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t)) (fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 #s(approx (+ (* (exp z) y) (neg y)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y z) (*.f64 #s(literal 1/6 binary64) y)) z (*.f64 #s(literal 1/2 binary64) y)) z y) z))) x)) |
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y (expm1.f64 z))) t)) (fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 #s(approx (+ (* (exp z) y) (neg y)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y z) (*.f64 #s(literal 1/6 binary64) y)) z (*.f64 #s(literal 1/2 binary64) y)) z y) z))) x)) |
(if (<=.f64 (exp.f64 z) #s(literal 4458563631096791/4503599627370496 binary64)) (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t)) (fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 #s(approx (+ (* (exp z) y) (neg y)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y))) x)) |
(if (<=.f64 (exp.f64 z) #s(literal 4458563631096791/4503599627370496 binary64)) (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y (expm1.f64 z))) t)) (fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 #s(approx (+ (* (exp z) y) (neg y)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y))) x)) |
(if (<=.f64 (exp.f64 z) #s(literal 4458563631096791/4503599627370496 binary64)) (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t)) (fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 #s(approx (+ (* (exp z) y) (neg y)) (*.f64 y z))) x)) |
(if (<=.f64 (exp.f64 z) #s(literal 4458563631096791/4503599627370496 binary64)) (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y (expm1.f64 z))) t)) (fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 #s(approx (+ (* (exp z) y) (neg y)) (*.f64 y z))) x)) |
(if (<=.f64 y #s(literal -2300000000000000171685525966363483719926216117629215685362984253898262741028125372579840 binary64)) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t)) (if (<=.f64 y #s(literal 359999999999999977636021641023194887453222514133064376372483593830897047698197645343370030088192 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t)))) |
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) #s(literal 1999999999999999842563759791331565483871006498118367703619996448246128296859795456 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t))) |
(if (<=.f64 (+.f64 (*.f64 (exp.f64 z) y) (-.f64 #s(literal 1 binary64) y)) #s(literal 1999999999999999842563759791331565483871006498118367703619996448246128296859795456 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t))) |
(if (<=.f64 z #s(literal -2176715800697727/73786976294838206464 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 z t) y)))) |
(-.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)) (fma.f64 (neg.f64 z) (/.f64 y t) x)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 z t) (neg.f64 y)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 (neg.f64 z) t) y))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 y t) (neg.f64 z)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 (neg.f64 y) t) z))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 335 | 1607 |
| 1 | 1012 | 1507 |
| 2 | 3166 | 1458 |
| 0 | 8225 | 1214 |
| 0 | 453 | 2251 |
| 1 | 1408 | 2103 |
| 2 | 4342 | 2080 |
| 0 | 9001 | 1747 |
| 0 | 41 | 263 |
| 0 | 70 | 263 |
| 1 | 291 | 228 |
| 2 | 2412 | 228 |
| 0 | 8584 | 216 |
| 0 | 12 | 45 |
| 0 | 19 | 45 |
| 1 | 73 | 45 |
| 2 | 593 | 45 |
| 3 | 7204 | 45 |
| 0 | 8984 | 38 |
| 0 | 51 | 314 |
| 0 | 85 | 314 |
| 1 | 381 | 311 |
| 2 | 3318 | 311 |
| 0 | 8883 | 306 |
| 1× | fuel |
| 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× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 918 to 465 computations (49.3% saved)
Compiled 1 216 to 314 computations (74.2% saved)
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