
Time bar (total: 14.4s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 3 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 4 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 5 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 6 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 7 |
| 3.1% | 3.1% | 96.7% | 0.2% | 0% | 0% | 0% | 8 |
| 4.7% | 4.7% | 95.1% | 0.2% | 0% | 0% | 0% | 9 |
| 4.7% | 4.7% | 95.1% | 0.2% | 0% | 0% | 0% | 10 |
| 16.4% | 16.4% | 83.4% | 0.2% | 0% | 0% | 0% | 11 |
| 18.8% | 17.5% | 76% | 0.2% | 0% | 6.2% | 0% | 12 |
Compiled 15 to 14 computations (6.7% saved)
| 2.3s | 4 571× | 1 | valid |
| 1.0s | 1 175× | 5 | exit |
| 856.0ms | 3 685× | 0 | valid |
| 397.0ms | 720× | 1 | invalid |
| 359.0ms | 390× | 4 | exit |
| 213.0ms | 1 760× | 0 | invalid |
ival-log: 1.4s (31.7% of total)ival-exp: 1.1s (25.1% of total)adjust: 501.0ms (11.7% of total)ival-div: 433.0ms (10.1% of total)ival-sub: 352.0ms (8.2% of total)ival-mult: 335.0ms (7.8% of total)ival-add: 204.0ms (4.8% of total)ival-true: 11.0ms (0.3% of total)exact: 9.0ms (0.2% of total)ival-assert: 6.0ms (0.1% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 155 | 39 | (2.508025907039957e-171 6.099800879888273e-99 1.0281583449669297e-249 -1.307833056745688e-13) | 0 | - | (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) |
| 70 | 2 | (3.4188977984135973e+242 4848.953733769775 8.03095195390262e-74 1.5049556424790459e+85) | 0 | - | (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) |
| 13 | 0 | - | 1 | (-2.8866134656302885e+116 -1.0422750486855394e-184 3.977988123730615e-137 3.725909796562695e-92) | (/.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 | 191 | 0 |
+.f64 | (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) | cancellation | 29 | 1 |
/.f64 | (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) | u/n | 4 | 0 |
| ↳ | (exp.f64 z) | underflow | 83 | |
| ↳ | (*.f64 y (exp.f64 z)) | underflow | 83 | |
| ↳ | (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) | underflow | 38 | |
log.f64 | (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) | oflow-rescue | 3 | 0 |
| ↳ | (exp.f64 z) | overflow | 3 | |
| ↳ | (*.f64 y (exp.f64 z)) | overflow | 3 | |
| ↳ | (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) | overflow | 3 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 94 | 15 |
| - | 115 | 32 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 94 | 0 | 15 |
| - | 115 | 1 | 31 |
| number | freq |
|---|---|
| 0 | 47 |
| 1 | 191 |
| 2 | 18 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 231.0ms | 102× | 2 | valid |
| 193.0ms | 338× | 1 | valid |
| 7.0ms | 72× | 0 | valid |
Compiled 127 to 40 computations (68.5% saved)
ival-exp: 217.0ms (59.6% of total)ival-log: 60.0ms (16.5% of total)ival-sub: 51.0ms (14% of total)adjust: 14.0ms (3.8% of total)ival-div: 8.0ms (2.2% of total)ival-mult: 6.0ms (1.6% of total)ival-add: 5.0ms (1.4% of total)ival-true: 1.0ms (0.3% 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 | 137 | 194 |
| 2 | 356 | 192 |
| 3 | 1190 | 190 |
| 4 | 4104 | 190 |
| 0 | 12 | 13 |
| 0 | 19 | 13 |
| 1 | 31 | 13 |
| 2 | 63 | 13 |
| 3 | 183 | 13 |
| 4 | 544 | 13 |
| 5 | 3234 | 13 |
| 6 | 7960 | 13 |
| 0 | 8058 | 11 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 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 (+.f64 #s(literal -1 binary64) (exp.f64 z)) y)) t)) |
Compiled 13 to 12 computations (7.7% saved)
Compiled 0 to 4 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 59.5% | (-.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 | 1 | (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) | |
| cost-diff | 1 | (log.f64 (+.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 | 31 | 55 |
| 2 | 63 | 55 |
| 3 | 183 | 55 |
| 4 | 544 | 55 |
| 5 | 3234 | 55 |
| 6 | 7960 | 55 |
| 0 | 8058 | 48 |
| 1× | iter limit |
| 1× | node limit |
| 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 (+.f64 #s(literal -1 binary64) (exp.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 (+.f64 #s(literal -1 binary64) (exp.f64 z)) y)) t) |
(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) |
(log1p.f64 (*.f64 (+.f64 #s(literal -1 binary64) (exp.f64 z)) y)) |
(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) |
(fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y)) |
(-.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 | 0.015625 | (*.f64 y (exp.f64 z)) | |
| accuracy | 3.133291570798398 | (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) | |
| accuracy | 16.767118955318125 | (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) | |
| accuracy | 35.799555969372584 | (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) |
| 104.0ms | 169× | 1 | valid |
| 26.0ms | 51× | 2 | valid |
| 3.0ms | 36× | 0 | valid |
Compiled 57 to 14 computations (75.4% saved)
ival-exp: 34.0ms (37.3% of total)ival-log: 34.0ms (37.3% of total)adjust: 7.0ms (7.7% of total)ival-sub: 6.0ms (6.6% of total)ival-div: 4.0ms (4.4% of total)ival-mult: 3.0ms (3.3% of total)ival-add: 3.0ms (3.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(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 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))) |
(* y (- (exp z) 1)) |
(* y (- (+ (exp z) (* -1/2 (* y (pow (- (exp z) 1) 2)))) 1)) |
(* y (- (+ (exp z) (* y (+ (* -1/2 (pow (- (exp z) 1) 2)) (* 1/3 (* y (pow (- (exp z) 1) 3)))))) 1)) |
(* y (- (+ (exp z) (* y (+ (* -1/2 (pow (- (exp z) 1) 2)) (* y (+ (* -1/4 (* y (pow (- (exp z) 1) 4))) (* 1/3 (pow (- (exp z) 1) 3))))))) 1)) |
1 |
(+ 1 (* y (- (exp z) 1))) |
(+ 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)) |
(+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) |
(+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp z) 1))))) |
(- (+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp z) 1))))) (/ 1/2 (* (pow y 2) (pow (- (exp z) 1) 2)))) |
(- (+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (+ (/ 1 (* y (- (exp z) 1))) (* 1/3 (/ 1 (* (pow y 3) (pow (- (exp z) 1) 3))))))) (* 1/2 (/ 1 (* (pow y 2) (pow (- (exp z) 1) 2))))) |
(* y (- (+ (exp z) (/ 1 y)) 1)) |
(- x (+ (* -1 (/ (log (/ 1 y)) t)) (/ (log (- (exp z) 1)) t))) |
(- x (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t)))) |
(- (+ x (/ 1/2 (* t (* (pow y 2) (pow (- (exp z) 1) 2))))) (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t)))) |
(- (+ x (* 1/2 (/ 1 (* t (* (pow y 2) (pow (- (exp z) 1) 2)))))) (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (+ (* 1/3 (/ 1 (* t (* (pow y 3) (pow (- (exp z) 1) 3))))) (/ (log (- (exp z) 1)) t))))) |
(/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t) |
(+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t))) |
(- (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t))) (/ 1/2 (* t (* (pow y 2) (pow (- (exp z) 1) 2))))) |
(- (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (+ (* 1/3 (/ 1 (* t (* (pow y 3) (pow (- (exp z) 1) 3))))) (/ (log (- (exp z) 1)) t)))) (* 1/2 (/ 1 (* t (* (pow y 2) (pow (- (exp z) 1) 2)))))) |
(+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) |
(- (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) (/ 1 (* y (+ 1 (* -1 (exp z)))))) |
(+ (log (+ 1 (* -1 (exp z)))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* 1/2 (/ 1 (* y (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (+ 1 (* -1 (exp z))))) y)))) |
(+ (log (+ 1 (* -1 (exp z)))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (/ 1/3 (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 3))) (+ (/ 1/2 (* y (pow (+ 1 (* -1 (exp z))) 2))) (/ 1 (+ 1 (* -1 (exp z)))))) y)))) |
(* -1 (* y (+ 1 (* -1 (exp z))))) |
(* -1 (* y (- (+ 1 (* -1 (exp z))) (/ 1 y)))) |
(- 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))) |
(* 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))))))))))) |
(+ 1 (* y z)) |
(+ 1 (* z (+ y (* 1/2 (* y z))))) |
(+ 1 (* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y)))))) |
(+ x (* -1 (/ (* y z) t))) |
(+ x (* z (- (* -1/2 (/ (* z (+ y (* -1 (pow y 2)))) t)) (/ y t)))) |
(+ x (* z (- (* z (- (* -1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) t)) (* 1/2 (/ (+ y (* -1 (pow y 2))) t)))) (/ y t)))) |
(/ (* 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)))))) |
(log (- (+ 1 (* y (exp z))) y)) |
(- (+ 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 | |
|---|---|---|---|---|
| 28.0ms | z | @ | inf | ((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) (* y (exp z))) |
| 27.0ms | z | @ | -inf | ((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) (* y (exp z))) |
| 18.0ms | t | @ | inf | ((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) (* y (exp z))) |
| 13.0ms | t | @ | 0 | ((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) (* y (exp z))) |
| 9.0ms | t | @ | -inf | ((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) (* y (exp z))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 335 | 1597 |
| 1 | 1079 | 1468 |
| 2 | 4058 | 1425 |
| 0 | 9154 | 1220 |
| 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))) |
(* y (- (exp z) 1)) |
(* y (- (+ (exp z) (* -1/2 (* y (pow (- (exp z) 1) 2)))) 1)) |
(* y (- (+ (exp z) (* y (+ (* -1/2 (pow (- (exp z) 1) 2)) (* 1/3 (* y (pow (- (exp z) 1) 3)))))) 1)) |
(* y (- (+ (exp z) (* y (+ (* -1/2 (pow (- (exp z) 1) 2)) (* y (+ (* -1/4 (* y (pow (- (exp z) 1) 4))) (* 1/3 (pow (- (exp z) 1) 3))))))) 1)) |
1 |
(+ 1 (* y (- (exp z) 1))) |
(+ 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)) |
(+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) |
(+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp z) 1))))) |
(- (+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp z) 1))))) (/ 1/2 (* (pow y 2) (pow (- (exp z) 1) 2)))) |
(- (+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (+ (/ 1 (* y (- (exp z) 1))) (* 1/3 (/ 1 (* (pow y 3) (pow (- (exp z) 1) 3))))))) (* 1/2 (/ 1 (* (pow y 2) (pow (- (exp z) 1) 2))))) |
(* y (- (+ (exp z) (/ 1 y)) 1)) |
(- x (+ (* -1 (/ (log (/ 1 y)) t)) (/ (log (- (exp z) 1)) t))) |
(- x (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t)))) |
(- (+ x (/ 1/2 (* t (* (pow y 2) (pow (- (exp z) 1) 2))))) (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t)))) |
(- (+ x (* 1/2 (/ 1 (* t (* (pow y 2) (pow (- (exp z) 1) 2)))))) (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (+ (* 1/3 (/ 1 (* t (* (pow y 3) (pow (- (exp z) 1) 3))))) (/ (log (- (exp z) 1)) t))))) |
(/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t) |
(+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t))) |
(- (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t))) (/ 1/2 (* t (* (pow y 2) (pow (- (exp z) 1) 2))))) |
(- (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (+ (* 1/3 (/ 1 (* t (* (pow y 3) (pow (- (exp z) 1) 3))))) (/ (log (- (exp z) 1)) t)))) (* 1/2 (/ 1 (* t (* (pow y 2) (pow (- (exp z) 1) 2)))))) |
(+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) |
(- (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) (/ 1 (* y (+ 1 (* -1 (exp z)))))) |
(+ (log (+ 1 (* -1 (exp z)))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* 1/2 (/ 1 (* y (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (+ 1 (* -1 (exp z))))) y)))) |
(+ (log (+ 1 (* -1 (exp z)))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (/ 1/3 (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 3))) (+ (/ 1/2 (* y (pow (+ 1 (* -1 (exp z))) 2))) (/ 1 (+ 1 (* -1 (exp z)))))) y)))) |
(* -1 (* y (+ 1 (* -1 (exp z))))) |
(* -1 (* y (- (+ 1 (* -1 (exp z))) (/ 1 y)))) |
(- 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))) |
(* 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))))))))))) |
(+ 1 (* y z)) |
(+ 1 (* z (+ y (* 1/2 (* y z))))) |
(+ 1 (* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y)))))) |
(+ x (* -1 (/ (* y z) t))) |
(+ x (* z (- (* -1/2 (/ (* z (+ y (* -1 (pow y 2)))) t)) (/ y t)))) |
(+ x (* z (- (* z (- (* -1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) t)) (* 1/2 (/ (+ y (* -1 (pow y 2))) t)))) (/ y t)))) |
(/ (* 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)))))) |
(log (- (+ 1 (* y (exp z))) y)) |
(- (+ 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 (*.f64 (exp.f64 z) y) y)) (neg.f64 t)) |
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(-.f64 x (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) t)) |
x |
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x))))) |
(fma.f64 (/.f64 x x) (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (neg.f64 t)) x) |
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (*.f64 t x)) #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 #s(literal -1/2 binary64) y) (pow.f64 (expm1.f64 z) #s(literal 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 #s(literal 1/3 binary64) y) (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) (*.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 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) #s(literal -1/2 binary64) (*.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)) y (expm1.f64 z)) y) |
1 |
#s(literal 1 binary64) |
(+ 1 (* y (- (exp z) 1))) |
(fma.f64 (expm1.f64 z) y #s(literal 1 binary64)) |
(+ 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 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) #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 (-.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 (expm1.f64 z) #s(literal 3 binary64))) y)) t) y (/.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 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) (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 (/.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) y) (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) #s(literal -1/2 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))) |
(*.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) #s(literal -1/2 binary64) (*.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)) t) y (/.f64 (expm1.f64 z) t)) y) |
(* y (exp z)) |
(*.f64 (exp.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 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) y)) y)) |
(- (+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (+ (/ 1 (* y (- (exp z) 1))) (* 1/3 (/ 1 (* (pow y 3) (pow (- (exp z) 1) 3))))))) (* 1/2 (/ 1 (* (pow y 2) (pow (- (exp z) 1) 2))))) |
(-.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 z) y)) (log.f64 y)) (log.f64 (expm1.f64 z))) (/.f64 #s(literal -1/3 binary64) (pow.f64 (*.f64 (expm1.f64 z) y) #s(literal 3 binary64)))) (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) y)) y)) |
(* y (- (+ (exp z) (/ 1 y)) 1)) |
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (expm1.f64 z)) y) |
(- x (+ (* -1 (/ (log (/ 1 y)) t)) (/ (log (- (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 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 z) y)) (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 x (/.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) t)) y) y)) (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 z) y)) (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 x (/.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) t)) y) y)) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 z) y)) (/.f64 #s(literal -1/3 binary64) (pow.f64 (*.f64 (expm1.f64 z) y) #s(literal 3 binary64)))) 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 (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 z) y)) (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 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 z) y)) (log.f64 y)) (log.f64 (expm1.f64 z))) t) (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t y) y)) (pow.f64 (expm1.f64 z) #s(literal 2 binary64)))) |
(- (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (+ (* 1/3 (/ 1 (* t (* (pow y 3) (pow (- (exp z) 1) 3))))) (/ (log (- (exp z) 1)) t)))) (* 1/2 (/ 1 (* t (* (pow y 2) (pow (- (exp z) 1) 2)))))) |
(-.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 z) y)) (/.f64 #s(literal -1/3 binary64) (pow.f64 (*.f64 (expm1.f64 z) y) #s(literal 3 binary64)))) t) (/.f64 (+.f64 (log.f64 y) (log.f64 (expm1.f64 z))) t)) (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t y) y)) (pow.f64 (expm1.f64 z) #s(literal 2 binary64)))) |
(+ (log (+ 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 (log1p.f64 (neg.f64 (exp.f64 z))) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 z))) y))) |
(+ (log (+ 1 (* -1 (exp z)))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* 1/2 (/ 1 (* y (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (+ 1 (* -1 (exp z))))) y)))) |
(-.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 z))) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 z))) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) y))) 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))) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (exp.f64 z))) (/.f64 #s(literal 1/2 binary64) y)) (pow.f64 (expm1.f64 z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 z)))) y)) |
(* -1 (* y (+ 1 (* -1 (exp z))))) |
(-.f64 (*.f64 (exp.f64 z) y) y) |
(* -1 (* y (- (+ 1 (* -1 (exp z))) (/ 1 y)))) |
(*.f64 (neg.f64 y) (-.f64 (-.f64 #s(literal 1 binary64) (exp.f64 z)) (/.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 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 z)) y) t)) 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 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 z))) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) y))) t) y) 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 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (expm1.f64 z) #s(literal 2 binary64))) (/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 z)) #s(literal 3 binary64)) y))) t) (neg.f64 y)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 z))) t)) y)) (/.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 z))) (log.f64 (/.f64 #s(literal -1 binary64) y))) t)) |
(/ (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) t) |
(/.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 z))) (log.f64 (/.f64 #s(literal -1 binary64) y))) t) |
(- (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t)) (/ 1 (* t (* y (+ 1 (* -1 (exp z))))))) |
(-.f64 (/.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 z))) (log.f64 (/.f64 #s(literal -1 binary64) y))) t) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.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))) |
(fma.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 z))) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) y))) t) y) #s(literal -1 binary64) (/.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 z))) (log.f64 (/.f64 #s(literal -1 binary64) y))) t)) |
(+ (* -1 (/ (log (/ -1 y)) t)) (+ (* -1 (/ (+ (/ 1/3 (* t (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 3)))) (+ (/ 1/2 (* t (* y (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (* t (+ 1 (* -1 (exp z))))))) y)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
(fma.f64 (/.f64 (+.f64 (/.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (exp.f64 z))) (/.f64 #s(literal 1/2 binary64) y)) (pow.f64 (expm1.f64 z) #s(literal 2 binary64))) t) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 z))) t)) y) #s(literal -1 binary64) (/.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 z))) (log.f64 (/.f64 #s(literal -1 binary64) y))) t)) |
(* 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 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) (*.f64 (fma.f64 y y (neg.f64 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 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))) z y) z) |
(+ 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 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal 1/2 binary64) y)) z y) z #s(literal 1 binary64)) |
(+ x (* -1 (/ (* y z) t))) |
(-.f64 x (/.f64 (*.f64 z y) t)) |
(+ 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 (/.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))) t) z) (/.f64 y t)) z x) |
(/ (* y z) t) |
(/.f64 (*.f64 z y) t) |
(* z (+ (* 1/2 (/ (* z (+ y (* -1 (pow y 2)))) t)) (/ y t))) |
(*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) 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 (/.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 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))) z 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 (/.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 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))) t) 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 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal 1/2 binary64) y)) z y) z y) |
(log (- (+ 1 (* y (exp z))) y)) |
(log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) |
(- (+ 1 (* y (exp z))) y) |
(-.f64 (fma.f64 (exp.f64 z) y #s(literal 1 binary64)) y) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) t) |
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) |
(/.f64 (-.f64 (*.f64 t x) (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y))) t) |
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) |
(-.f64 x (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) t)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 45 |
| 0 | 19 | 45 |
| 1 | 72 | 45 |
| 2 | 528 | 45 |
| 3 | 7195 | 45 |
| 0 | 8155 | 41 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(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 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 (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)))) (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))))) (*.f64 (log.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 z) y y))) (log.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 z) y y))))) (log.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 #s(literal 1 binary64) (fma.f64 (exp.f64 z) y y))))) |
(/.f64 (-.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)))) (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))))) (*.f64 (log.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 z) y y)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)))) (log.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 z) y y)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)))))) (log.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))) (fma.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 z) y y)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (pow.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)))) #s(literal 3 binary64)) (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 z) y y))) #s(literal 3 binary64))) (fma.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)))) (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)))) (fma.f64 (log.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 z) y y))) (log.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 z) y y))) (*.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)))) (log.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 z) y y))))))) |
(/.f64 (-.f64 (pow.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)))) #s(literal 3 binary64)) (pow.f64 (log.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 z) y y)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.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)))) (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)))) (fma.f64 (log.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 z) y y)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)))) (log.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 z) y y)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)))) (*.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)))) (log.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 z) y y)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)))))))) |
(neg.f64 (neg.f64 (log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))))) |
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 y) (exp.f64 z) y) #s(literal 2 binary64)))) (log1p.f64 (fma.f64 (neg.f64 y) (exp.f64 z) y))) |
(-.f64 (log.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)))) (log.f64 (-.f64 (*.f64 (exp.f64 z) y) (-.f64 #s(literal 1 binary64) y)))) |
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 y) (exp.f64 z) y) #s(literal 3 binary64)))) (log1p.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) (exp.f64 z)) (pow.f64 (fma.f64 (neg.f64 y) (exp.f64 z) y) #s(literal 2 binary64))))) |
(-.f64 (log.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))))) (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 z) y y))))) |
(-.f64 (log.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))))) (log.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 z) y y)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)))))) |
(-.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)))) (log.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 z) y y)))) |
(-.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)))) (log.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 z) y y)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64))))) |
(+.f64 (log.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))))) (log.f64 (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 (log.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))))) (log.f64 (-.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 (log.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))))) (log.f64 (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 (log.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))))) (log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y)))) |
(+.f64 (log.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 z) y y)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)))) (log.f64 (/.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y)) (fma.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 z) y y)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)))))) |
(+.f64 (log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))) (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 z) y y)) (-.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 z) y y))))) |
(log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)))) |
(log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))) |
(*.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)))) |
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(fma.f64 (neg.f64 x) (/.f64 (neg.f64 x) (+.f64 (/.f64 (log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))) t) x)) (/.f64 (neg.f64 (pow.f64 (/.f64 (log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))) t) #s(literal 2 binary64))) (+.f64 (/.f64 (log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))) t) x))) |
(fma.f64 (fabs.f64 x) (/.f64 (fabs.f64 x) (+.f64 (/.f64 (log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))) t) x)) (/.f64 (neg.f64 (pow.f64 (/.f64 (log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))) t) #s(literal 2 binary64))) (+.f64 (/.f64 (log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))) t) x))) |
(fma.f64 x (/.f64 x (+.f64 (/.f64 (log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))) t) x)) (/.f64 (neg.f64 (pow.f64 (/.f64 (log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))) t) #s(literal 2 binary64))) (+.f64 (/.f64 (log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))) t) x))) |
(-.f64 (/.f64 (*.f64 x x) (+.f64 (/.f64 (log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))) t) x)) (/.f64 (pow.f64 (/.f64 (log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))) t) #s(literal 2 binary64)) (+.f64 (/.f64 (log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))) t) x))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 (log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))) t) x) (/.f64 (log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))) t) (*.f64 x x))) (/.f64 (pow.f64 (/.f64 (log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))) t) #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 (log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))) t) x) (/.f64 (log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))) t) (*.f64 x x)))) |
(-.f64 x (/.f64 (log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))) t)) |
(+.f64 (/.f64 (*.f64 x x) (+.f64 (/.f64 (log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))) t) x)) (/.f64 (neg.f64 (pow.f64 (/.f64 (log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))) t) #s(literal 2 binary64))) (+.f64 (/.f64 (log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))) t) x))) |
(/.f64 (neg.f64 (log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y)))) (neg.f64 t)) |
(/.f64 (log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))) t) |
(neg.f64 (/.f64 (log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) 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 (log.f64 (-.f64 #s(literal 1 binary64) (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) (-.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 z) y y)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)))) t)) |
(*.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)) |
(/.f64 (*.f64 (+.f64 (pow.f64 (sinh.f64 z) #s(literal 3 binary64)) (pow.f64 (cosh.f64 z) #s(literal 3 binary64))) y) (-.f64 (cosh.f64 (+.f64 z z)) (*.f64 (sinh.f64 z) (cosh.f64 z)))) |
(/.f64 (*.f64 y (+.f64 (pow.f64 (sinh.f64 z) #s(literal 3 binary64)) (pow.f64 (cosh.f64 z) #s(literal 3 binary64)))) (-.f64 (cosh.f64 (+.f64 z z)) (*.f64 (sinh.f64 z) (cosh.f64 z)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (cosh.f64 z) y) (*.f64 (cosh.f64 z) y)) (*.f64 (*.f64 (sinh.f64 z) y) (*.f64 (sinh.f64 z) y))) (-.f64 (*.f64 (cosh.f64 z) y) (*.f64 (sinh.f64 z) y))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (cosh.f64 z) y) #s(literal 3 binary64)) (pow.f64 (*.f64 (sinh.f64 z) y) #s(literal 3 binary64))) (fma.f64 (*.f64 (cosh.f64 z) y) (*.f64 (cosh.f64 z) y) (-.f64 (*.f64 (*.f64 (sinh.f64 z) y) (*.f64 (sinh.f64 z) y)) (*.f64 (*.f64 (cosh.f64 z) y) (*.f64 (sinh.f64 z) y))))) |
(/.f64 y (exp.f64 (neg.f64 z))) |
(neg.f64 (*.f64 (neg.f64 y) (exp.f64 z))) |
(fma.f64 (*.f64 (sinh.f64 z) #s(literal 1 binary64)) y (*.f64 (cosh.f64 z) y)) |
(fma.f64 (*.f64 (cosh.f64 z) #s(literal 1 binary64)) y (*.f64 (sinh.f64 z) y)) |
(fma.f64 (*.f64 (sinh.f64 z) y) #s(literal 1 binary64) (*.f64 (cosh.f64 z) y)) |
(fma.f64 (*.f64 (cosh.f64 z) y) #s(literal 1 binary64) (*.f64 (sinh.f64 z) y)) |
(fma.f64 (sinh.f64 z) y (*.f64 (cosh.f64 z) y)) |
(fma.f64 (cosh.f64 z) y (*.f64 (sinh.f64 z) y)) |
(fma.f64 y (*.f64 #s(literal 1 binary64) (sinh.f64 z)) (*.f64 (cosh.f64 z) y)) |
(fma.f64 y (*.f64 #s(literal 1 binary64) (cosh.f64 z)) (*.f64 (sinh.f64 z) y)) |
(fma.f64 y (sinh.f64 z) (*.f64 (cosh.f64 z) y)) |
(fma.f64 y (cosh.f64 z) (*.f64 (sinh.f64 z) y)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 z) y) (*.f64 (cosh.f64 z) y)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (cosh.f64 z) y) (*.f64 (sinh.f64 z) y)) |
(-.f64 (*.f64 (cosh.f64 z) y) (*.f64 (sinh.f64 (neg.f64 z)) y)) |
(-.f64 (*.f64 (cosh.f64 z) y) (*.f64 (neg.f64 y) (sinh.f64 z))) |
(+.f64 (*.f64 (sinh.f64 z) y) (*.f64 (cosh.f64 z) y)) |
(+.f64 (*.f64 (cosh.f64 z) y) (*.f64 (sinh.f64 z) y)) |
Compiled 10 145 to 1 411 computations (86.1% saved)
14 alts after pruning (14 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 240 | 14 | 254 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 241 | 14 | 255 |
| Status | Accuracy | Program |
|---|---|---|
| 59.5% | (-.f64 x (/.f64 (log.f64 (-.f64 (fma.f64 (exp.f64 z) y (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 y (/.f64 y (+.f64 y #s(literal 1 binary64)))))) t)) | |
| ▶ | 59.5% | (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal 1/2 binary64) y)) z y) z #s(literal 1 binary64)))) t)) |
| 61.5% | (-.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)) | |
| 81.0% | (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t)) | |
| 66.7% | (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t)) | |
| 70.9% | (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t)) | |
| ▶ | 82.7% | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t)) |
| ▶ | 70.9% | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) |
| 52.5% | (-.f64 x (-.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 (log.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 z) y y))) t))) | |
| 51.7% | (-.f64 x (-.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) (-.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 z) y y)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)))) t))) | |
| 59.6% | (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) t) z))) | |
| ▶ | 83.8% | (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))) |
| 15.1% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (neg.f64 t))) | |
| ▶ | 78.0% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (*.f64 (neg.f64 x) (-.f64 (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (*.f64 t x)) #s(literal 1 binary64)))) |
Compiled 656 to 500 computations (23.8% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (*.f64 t x)) #s(literal 1 binary64)) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | (*.f64 (neg.f64 x) (-.f64 (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (*.f64 t x)) #s(literal 1 binary64))) | |
| cost-diff | 0 | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (*.f64 (neg.f64 x) (-.f64 (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (*.f64 t x)) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal 1/2 binary64) y)) z y) z #s(literal 1 binary64)))) | |
| cost-diff | 0 | (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal 1/2 binary64) y)) z y) z #s(literal 1 binary64)))) t) | |
| cost-diff | 0 | (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal 1/2 binary64) y)) z y) z #s(literal 1 binary64)))) t)) | |
| cost-diff | 2 | (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal 1/2 binary64) y)) | |
| cost-diff | 0 | (*.f64 (expm1.f64 z) y) | |
| cost-diff | 0 | #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) | |
| cost-diff | 0 | (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t) | |
| cost-diff | 0 | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t)) | |
| cost-diff | 0 | (*.f64 z y) | |
| cost-diff | 0 | #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) | |
| cost-diff | 0 | (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) | |
| cost-diff | 0 | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) | |
| cost-diff | 0 | (/.f64 (expm1.f64 z) t) | |
| cost-diff | 0 | (*.f64 (/.f64 (expm1.f64 z) t) y) | |
| cost-diff | 0 | #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) | |
| cost-diff | 0 | (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 410 |
| 0 | 75 | 410 |
| 1 | 118 | 385 |
| 2 | 221 | 385 |
| 3 | 578 | 385 |
| 4 | 1650 | 385 |
| 5 | 6225 | 385 |
| 0 | 8449 | 374 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))) |
x |
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) |
(*.f64 (/.f64 (expm1.f64 z) t) y) |
(/.f64 (expm1.f64 z) t) |
(expm1.f64 z) |
z |
t |
y |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) |
x |
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) |
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) |
(*.f64 z y) |
z |
y |
t |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t)) |
x |
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t) |
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) |
(*.f64 (expm1.f64 z) y) |
(expm1.f64 z) |
z |
y |
t |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal 1/2 binary64) y)) z y) z #s(literal 1 binary64)))) t)) |
x |
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal 1/2 binary64) y)) z y) z #s(literal 1 binary64)))) t) |
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal 1/2 binary64) y)) z y) z #s(literal 1 binary64)))) |
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal 1/2 binary64) y)) z y) z #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal 1/2 binary64) y)) z y) z #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal 1/2 binary64) y)) z y) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal 1/2 binary64) y)) |
#s(literal 1/6 binary64) |
(*.f64 z y) |
z |
y |
(*.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
t |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (*.f64 (neg.f64 x) (-.f64 (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (*.f64 t x)) #s(literal 1 binary64)))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (*.f64 t x)) #s(literal 1 binary64))) |
(neg.f64 x) |
x |
(-.f64 (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (*.f64 t x)) #s(literal 1 binary64)) |
(/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (*.f64 t x)) |
(log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) |
(-.f64 (*.f64 (exp.f64 z) y) y) |
(*.f64 (exp.f64 z) y) |
(exp.f64 z) |
z |
y |
(*.f64 t x) |
t |
#s(literal 1 binary64) |
| Outputs |
|---|
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))) |
x |
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) |
(*.f64 (/.f64 (expm1.f64 z) t) y) |
(/.f64 (expm1.f64 z) t) |
(expm1.f64 z) |
z |
t |
y |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) |
x |
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) |
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) |
(*.f64 z y) |
z |
y |
t |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t)) |
x |
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t) |
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) |
(*.f64 (expm1.f64 z) y) |
(expm1.f64 z) |
z |
y |
t |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal 1/2 binary64) y)) z y) z #s(literal 1 binary64)))) t)) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) y) z #s(literal 1 binary64)))) t)) |
x |
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal 1/2 binary64) y)) z y) z #s(literal 1 binary64)))) t) |
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) y) z #s(literal 1 binary64)))) t) |
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal 1/2 binary64) y)) z y) z #s(literal 1 binary64)))) |
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) y) z #s(literal 1 binary64)))) |
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal 1/2 binary64) y)) z y) z #s(literal 1 binary64))) |
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) y) z #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal 1/2 binary64) y)) z y) z #s(literal 1 binary64)) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) y) z #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal 1/2 binary64) y)) z y) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) y) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal 1/2 binary64) y)) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y) |
#s(literal 1/6 binary64) |
(*.f64 z y) |
z |
y |
(*.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
t |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (*.f64 (neg.f64 x) (-.f64 (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (*.f64 t x)) #s(literal 1 binary64)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (*.f64 (-.f64 (/.f64 (log1p.f64 (*.f64 (+.f64 #s(literal -1 binary64) (exp.f64 z)) y)) (*.f64 t x)) #s(literal 1 binary64)) (neg.f64 x))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (*.f64 t x)) #s(literal 1 binary64))) |
(*.f64 (-.f64 (/.f64 (log1p.f64 (*.f64 (+.f64 #s(literal -1 binary64) (exp.f64 z)) y)) (*.f64 t x)) #s(literal 1 binary64)) (neg.f64 x)) |
(neg.f64 x) |
x |
(-.f64 (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (*.f64 t x)) #s(literal 1 binary64)) |
(-.f64 (/.f64 (log1p.f64 (*.f64 (+.f64 #s(literal -1 binary64) (exp.f64 z)) y)) (*.f64 t x)) #s(literal 1 binary64)) |
(/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (*.f64 t x)) |
(/.f64 (log1p.f64 (*.f64 (+.f64 #s(literal -1 binary64) (exp.f64 z)) y)) (*.f64 t x)) |
(log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) |
(log1p.f64 (*.f64 (+.f64 #s(literal -1 binary64) (exp.f64 z)) y)) |
(-.f64 (*.f64 (exp.f64 z) y) y) |
(*.f64 (exp.f64 z) y) |
(exp.f64 z) |
z |
y |
(*.f64 t x) |
t |
#s(literal 1 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.7302208523803684 | (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) | |
| accuracy | 1.934831329692418 | (*.f64 (neg.f64 x) (-.f64 (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (*.f64 t x)) #s(literal 1 binary64))) | |
| accuracy | 6.4514514781827765 | (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (*.f64 t x)) | |
| accuracy | 29.616325704321234 | (-.f64 (*.f64 (exp.f64 z) y) y) | |
| accuracy | 0.290104527589523 | (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal 1/2 binary64) y)) | |
| accuracy | 3.133291570798398 | (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal 1/2 binary64) y)) z y) z #s(literal 1 binary64)))) t) | |
| accuracy | 20.186612007772645 | #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal 1/2 binary64) y)) z y) z #s(literal 1 binary64))) | |
| accuracy | 35.799555969372584 | (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal 1/2 binary64) y)) z y) z #s(literal 1 binary64)))) | |
| accuracy | 0.0078125 | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t)) | |
| accuracy | 0.01171875 | (*.f64 (expm1.f64 z) y) | |
| accuracy | 3.133291570798398 | (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t) | |
| accuracy | 15.51005341579849 | #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) | |
| accuracy | 0.0 | (*.f64 z y) | |
| accuracy | 0.0078125 | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) | |
| accuracy | 3.133291570798398 | (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) | |
| accuracy | 28.863555422650894 | #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) | |
| accuracy | 0.0078125 | (/.f64 (expm1.f64 z) t) | |
| accuracy | 0.0078125 | (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))) | |
| accuracy | 2.3553930198329986 | (*.f64 (/.f64 (expm1.f64 z) t) y) | |
| accuracy | 15.466643261647802 | #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) |
| 182.0ms | 169× | 1 | valid |
| 99.0ms | 51× | 2 | valid |
| 10.0ms | 36× | 0 | valid |
Compiled 318 to 36 computations (88.7% saved)
ival-mult: 75.0ms (29.8% of total)ival-log: 65.0ms (25.8% of total)ival-exp: 44.0ms (17.5% of total)ival-sub: 21.0ms (8.3% of total)adjust: 17.0ms (6.8% of total)ival-div: 9.0ms (3.6% of total)ival-add: 7.0ms (2.8% of total)const: 5.0ms (2% of total)ival-log1p: 5.0ms (2% of total)ival-expm1: 2.0ms (0.8% of total)ival-neg: 1.0ms (0.4% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))) |
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) |
(*.f64 (/.f64 (expm1.f64 z) t) y) |
(/.f64 (expm1.f64 z) t) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) |
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) |
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) |
(*.f64 z y) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t)) |
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t) |
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) |
(*.f64 (expm1.f64 z) y) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal 1/2 binary64) y)) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal 1/2 binary64) y)) z y) z #s(literal 1 binary64)))) t)) |
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal 1/2 binary64) y)) z y) z #s(literal 1 binary64)))) t) |
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal 1/2 binary64) y)) z y) z #s(literal 1 binary64)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (*.f64 (neg.f64 x) (-.f64 (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (*.f64 t x)) #s(literal 1 binary64)))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (*.f64 t x)) #s(literal 1 binary64))) |
(neg.f64 x) |
(-.f64 (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (*.f64 t x)) #s(literal 1 binary64)) |
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal 1/2 binary64) y)) z y) z #s(literal 1 binary64))) |
(-.f64 (*.f64 (exp.f64 z) y) y) |
(/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (*.f64 t x)) |
(log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) |
| Outputs |
|---|
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) |
(* -1 x) |
(/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) |
(/ (+ (* -1 x) (/ (log (- (+ 1 (* y (exp z))) y)) t)) x) |
x |
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x))))) |
-1 |
(- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1) |
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) |
(+ x (* y (- (/ 1 t) (/ (exp z) t)))) |
(+ x (* y (- (+ (* 1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ 1 t)) (/ (exp z) t)))) |
(+ x (* y (- (+ (* y (- (* -1/3 (/ (* y (pow (- (exp z) 1) 3)) t)) (* -1/2 (/ (pow (- (exp z) 1) 2) t)))) (/ 1 t)) (/ (exp z) t)))) |
(/ (* y (- (exp z) 1)) t) |
(* y (- (+ (* -1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ (exp z) t)) (/ 1 t))) |
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) t)) (* 1/3 (/ (* y (pow (- (exp z) 1) 3)) t)))) (/ (exp z) t)) (/ 1 t))) |
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) t)) (* y (+ (* -1/4 (/ (* y (pow (- (exp z) 1) 4)) t)) (* 1/3 (/ (pow (- (exp z) 1) 3) t)))))) (/ (exp z) t)) (/ 1 t))) |
(* y (- (exp z) 1)) |
(* y (- (+ (exp z) (* -1/2 (* y (pow (- (exp z) 1) 2)))) 1)) |
(* y (- (+ (exp z) (* y (+ (* -1/2 (pow (- (exp z) 1) 2)) (* 1/3 (* y (pow (- (exp z) 1) 3)))))) 1)) |
(* y (- (+ (exp z) (* y (+ (* -1/2 (pow (- (exp z) 1) 2)) (* y (+ (* -1/4 (* y (pow (- (exp z) 1) 4))) (* 1/3 (pow (- (exp z) 1) 3))))))) 1)) |
(* y z) |
(* y (+ 1/2 (* 1/6 z))) |
(+ x (* -1 (* x (* y (- (/ (exp z) (* t x)) (/ 1 (* t x))))))) |
(+ x (* y (+ (* -1 (* x (- (/ (exp z) (* t x)) (/ 1 (* t x))))) (* 1/2 (/ (* y (pow (- (exp z) 1) 2)) t))))) |
(+ x (* y (+ (* -1 (* x (- (/ (exp z) (* t x)) (/ 1 (* t x))))) (* y (+ (* -1/3 (/ (* y (pow (- (exp z) 1) 3)) t)) (* 1/2 (/ (pow (- (exp z) 1) 2) t))))))) |
(- (* y (- (/ (exp z) (* t x)) (/ 1 (* t x)))) 1) |
(- (* y (- (+ (* -1/2 (/ (* y (pow (- (exp z) 1) 2)) (* t x))) (/ (exp z) (* t x))) (/ 1 (* t x)))) 1) |
(- (* 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)))) 1) |
1 |
(+ 1 (* y (- (exp z) 1))) |
(/ (* 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)))) |
(- x (+ (* -1 (/ (log (/ 1 y)) t)) (/ (log (- (exp z) 1)) t))) |
(- x (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t)))) |
(- (+ x (/ 1/2 (* t (* (pow y 2) (pow (- (exp z) 1) 2))))) (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t)))) |
(- (+ x (* 1/2 (/ 1 (* t (* (pow y 2) (pow (- (exp z) 1) 2)))))) (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (+ (* 1/3 (/ 1 (* t (* (pow y 3) (pow (- (exp z) 1) 3))))) (/ (log (- (exp z) 1)) t))))) |
(/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t) |
(+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t))) |
(- (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t))) (/ 1/2 (* t (* (pow y 2) (pow (- (exp z) 1) 2))))) |
(- (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (+ (* 1/3 (/ 1 (* t (* (pow y 3) (pow (- (exp z) 1) 3))))) (/ (log (- (exp z) 1)) t)))) (* 1/2 (/ 1 (* t (* (pow y 2) (pow (- (exp z) 1) 2)))))) |
(+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) |
(+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp z) 1))))) |
(- (+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp z) 1))))) (/ 1/2 (* (pow y 2) (pow (- (exp z) 1) 2)))) |
(- (+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (+ (/ 1 (* y (- (exp z) 1))) (* 1/3 (/ 1 (* (pow y 3) (pow (- (exp z) 1) 3))))))) (* 1/2 (/ 1 (* (pow y 2) (pow (- (exp z) 1) 2))))) |
(* -1 (* x (- (+ (* -1 (/ (log (/ 1 y)) (* t x))) (/ (log (- (exp z) 1)) (* t x))) 1))) |
(- (* -1 (* x (- (+ (* -1 (/ (log (/ 1 y)) (* t x))) (/ (log (- (exp z) 1)) (* t x))) 1))) (/ 1 (* t (* y (- (exp z) 1))))) |
(- (+ (* -1 (* x (- (+ (* -1 (/ (log (/ 1 y)) (* t x))) (/ (log (- (exp z) 1)) (* t x))) 1))) (/ 1/2 (* t (* (pow y 2) (pow (- (exp z) 1) 2))))) (/ 1 (* t (* y (- (exp z) 1))))) |
(- (+ (* -1 (* x (- (+ (* -1 (/ (log (/ 1 y)) (* t x))) (/ (log (- (exp z) 1)) (* t x))) 1))) (* 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 (/ (log (/ 1 y)) (* t x))) (/ (log (- (exp z) 1)) (* t x))) 1) |
(- (+ (* -1 (/ (log (/ 1 y)) (* t x))) (+ (/ 1 (* t (* x (* y (- (exp z) 1))))) (/ (log (- (exp z) 1)) (* t x)))) 1) |
(- (+ (* -1 (/ (log (/ 1 y)) (* t x))) (+ (/ 1 (* t (* x (* y (- (exp z) 1))))) (/ (log (- (exp z) 1)) (* t x)))) (+ 1 (/ 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 (* 1/2 (/ 1 (* t (* x (* (pow y 2) (pow (- (exp z) 1) 2)))))))) |
(* y (- (+ (exp z) (/ 1 y)) 1)) |
(/ (+ (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))))))) |
(- x (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
(- (+ x (/ 1 (* t (* y (+ 1 (* -1 (exp z))))))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
(- (+ x (+ (/ 1/2 (* t (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (* t (* y (+ 1 (* -1 (exp z)))))))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
(- (+ x (* -1 (/ (- (* -1 (/ (+ (* 1/3 (/ 1 (* t (* y (pow (+ 1 (* -1 (exp z))) 3))))) (* 1/2 (/ 1 (* t (pow (+ 1 (* -1 (exp z))) 2))))) y)) (/ 1 (* t (+ 1 (* -1 (exp z)))))) y))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
(/ (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) t) |
(- (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t)) (/ 1 (* t (* y (+ 1 (* -1 (exp z))))))) |
(+ (* -1 (/ (log (/ -1 y)) t)) (+ (* -1 (/ (+ (* 1/2 (/ 1 (* t (* y (pow (+ 1 (* -1 (exp z))) 2))))) (/ 1 (* t (+ 1 (* -1 (exp z)))))) y)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
(+ (* -1 (/ (log (/ -1 y)) t)) (+ (* -1 (/ (+ (/ 1/3 (* t (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 3)))) (+ (/ 1/2 (* t (* y (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (* t (+ 1 (* -1 (exp z))))))) y)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
(+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) |
(- (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) (/ 1 (* y (+ 1 (* -1 (exp z)))))) |
(+ (log (+ 1 (* -1 (exp z)))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* 1/2 (/ 1 (* y (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (+ 1 (* -1 (exp z))))) y)))) |
(+ (log (+ 1 (* -1 (exp z)))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (/ 1/3 (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 3))) (+ (/ 1/2 (* y (pow (+ 1 (* -1 (exp z))) 2))) (/ 1 (+ 1 (* -1 (exp z)))))) y)))) |
(* -1 (* y (- (* -1/6 z) 1/2))) |
(* -1 (* x (- (+ (* -1 (/ (log (/ -1 y)) (* t x))) (/ (log (+ 1 (* -1 (exp z)))) (* t x))) 1))) |
(+ (* -1 (* x (- (+ (* -1 (/ (log (/ -1 y)) (* t x))) (/ (log (+ 1 (* -1 (exp z)))) (* t x))) 1))) (/ 1 (* t (* y (+ 1 (* -1 (exp z))))))) |
(+ (* -1 (* x (- (+ (* -1 (/ (log (/ -1 y)) (* t x))) (/ (log (+ 1 (* -1 (exp z)))) (* t x))) 1))) (+ (/ 1/2 (* t (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (* t (* y (+ 1 (* -1 (exp z)))))))) |
(+ (* -1 (* x (- (+ (* -1 (/ (log (/ -1 y)) (* t x))) (/ (log (+ 1 (* -1 (exp z)))) (* t x))) 1))) (* -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 x))) (/ (log (+ 1 (* -1 (exp z)))) (* t x))) 1) |
(- (+ (* -1 (/ (log (/ -1 y)) (* t x))) (/ (log (+ 1 (* -1 (exp z)))) (* t x))) (+ 1 (/ 1 (* t (* x (* y (+ 1 (* -1 (exp z))))))))) |
(- (+ (* -1 (/ (log (/ -1 y)) (* t x))) (+ (* -1 (/ (+ (* 1/2 (/ 1 (* t (* x (* y (pow (+ 1 (* -1 (exp z))) 2)))))) (/ 1 (* t (* x (+ 1 (* -1 (exp z))))))) y)) (/ (log (+ 1 (* -1 (exp z)))) (* t x)))) 1) |
(- (+ (* -1 (/ (log (/ -1 y)) (* t x))) (+ (* -1 (/ (+ (/ 1/3 (* t (* x (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 3))))) (+ (/ 1/2 (* t (* x (* y (pow (+ 1 (* -1 (exp z))) 2))))) (/ 1 (* t (* x (+ 1 (* -1 (exp z)))))))) y)) (/ (log (+ 1 (* -1 (exp z)))) (* t x)))) 1) |
(* -1 (* y (+ 1 (* -1 (exp z))))) |
(* -1 (* y (- (+ 1 (* -1 (exp z))) (/ 1 y)))) |
(/ (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) (* t x)) |
(- (+ (* -1 (/ (log (/ -1 y)) (* t x))) (/ (log (+ 1 (* -1 (exp z)))) (* t x))) (/ 1 (* t (* x (* y (+ 1 (* -1 (exp z)))))))) |
(+ (* -1 (/ (log (/ -1 y)) (* t x))) (+ (* -1 (/ (+ (* 1/2 (/ 1 (* t (* x (* y (pow (+ 1 (* -1 (exp z))) 2)))))) (/ 1 (* t (* x (+ 1 (* -1 (exp z))))))) y)) (/ (log (+ 1 (* -1 (exp z)))) (* t x)))) |
(+ (* -1 (/ (log (/ -1 y)) (* t x))) (+ (* -1 (/ (+ (/ 1/3 (* t (* x (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 3))))) (+ (/ 1/2 (* t (* x (* y (pow (+ 1 (* -1 (exp z))) 2))))) (/ 1 (* t (* x (+ 1 (* -1 (exp z)))))))) y)) (/ (log (+ 1 (* -1 (exp z)))) (* t x)))) |
(+ 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))) |
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(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) |
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12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 45.0ms | x | @ | -inf | ((- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (exp z) 1) t) y) (/ (- (exp z) 1) t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* z y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* (- (exp z) 1) y) (+ (* 1/6 (* z y)) (* 1/2 y)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (* (neg x) (- (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) 1)) (neg x) (- (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) 1) (+ (- 1 y) (* y (exp z))) (- (* (exp z) y) y) (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) (log (+ 1 (- (* (exp z) y) y)))) |
| 43.0ms | t | @ | inf | ((- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (exp z) 1) t) y) (/ (- (exp z) 1) t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* z y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* (- (exp z) 1) y) (+ (* 1/6 (* z y)) (* 1/2 y)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (* (neg x) (- (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) 1)) (neg x) (- (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) 1) (+ (- 1 y) (* y (exp z))) (- (* (exp z) y) y) (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) (log (+ 1 (- (* (exp z) y) y)))) |
| 25.0ms | z | @ | 0 | ((- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (exp z) 1) t) y) (/ (- (exp z) 1) t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* z y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* (- (exp z) 1) y) (+ (* 1/6 (* z y)) (* 1/2 y)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (* (neg x) (- (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) 1)) (neg x) (- (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) 1) (+ (- 1 y) (* y (exp z))) (- (* (exp z) y) y) (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) (log (+ 1 (- (* (exp z) y) y)))) |
| 21.0ms | y | @ | inf | ((- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (exp z) 1) t) y) (/ (- (exp z) 1) t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* z y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* (- (exp z) 1) y) (+ (* 1/6 (* z y)) (* 1/2 y)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (* (neg x) (- (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) 1)) (neg x) (- (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) 1) (+ (- 1 y) (* y (exp z))) (- (* (exp z) y) y) (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) (log (+ 1 (- (* (exp z) y) y)))) |
| 12.0ms | t | @ | -inf | ((- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (exp z) 1) t) y) (/ (- (exp z) 1) t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* z y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* (- (exp z) 1) y) (+ (* 1/6 (* z y)) (* 1/2 y)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (* (neg x) (- (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) 1)) (neg x) (- (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) 1) (+ (- 1 y) (* y (exp z))) (- (* (exp z) y) y) (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) (log (+ 1 (- (* (exp z) y) y)))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 566 | 3459 |
| 1 | 1903 | 3105 |
| 2 | 7397 | 2987 |
| 0 | 8250 | 2595 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
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(* -1 x) |
(/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) |
(/ (+ (* -1 x) (/ (log (- (+ 1 (* y (exp z))) y)) t)) x) |
x |
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x))))) |
-1 |
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1 |
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(* z (+ (* z (+ (* 1/6 (/ (* y z) t)) (* 1/2 (/ y t)))) (/ y t))) |
(* z (+ (* z (+ (* 1/2 (/ y t)) (* z (+ (* 1/24 (/ (* y z) t)) (* 1/6 (/ y t)))))) (/ y t))) |
(/ z t) |
(* z (+ (* 1/2 (/ z t)) (/ 1 t))) |
(* z (+ (* z (+ (* 1/6 (/ z t)) (* 1/2 (/ 1 t)))) (/ 1 t))) |
(* z (+ (* z (+ (* z (+ (* 1/24 (/ z t)) (* 1/6 (/ 1 t)))) (* 1/2 (/ 1 t)))) (/ 1 t))) |
(* 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))))))) |
(* 1/2 y) |
(+ (* 1/6 (* y z)) (* 1/2 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) (* t x)) 1) |
(- (* z (+ (* 1/2 (/ (* z (+ y (* -1 (pow y 2)))) (* t x))) (/ y (* t x)))) 1) |
(- (* 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)))) 1) |
(+ 1 (* y z)) |
(+ 1 (* z (+ y (* 1/2 (* y z))))) |
(+ 1 (* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y)))))) |
(/ (* y z) (* t x)) |
(* 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)))) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/ (- (exp z) 1) t) |
(log (- (+ 1 (* y (exp z))) y)) |
(* 1/6 (* y z)) |
(* z (+ (* 1/6 y) (* 1/2 (/ y z)))) |
(- (+ 1 (* y (exp z))) y) |
(- (* y (exp z)) y) |
(* -1 (* z (+ (* -1/2 (/ y z)) (* -1/6 y)))) |
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) |
(/ (+ (* -1 (log (- (+ 1 (* y (exp z))) y))) (* t x)) t) |
(/ (+ (* -1 t) (/ (log (- (+ 1 (* y (exp z))) y)) x)) t) |
| Outputs |
|---|
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (neg.f64 t)) |
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(-.f64 x (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) t)) |
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) |
(-.f64 x (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) t)) |
(* -1 x) |
(neg.f64 x) |
(/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) |
(/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (*.f64 t x)) |
(/ (+ (* -1 x) (/ (log (- (+ 1 (* y (exp z))) y)) t)) x) |
(/.f64 (-.f64 (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) t) x) x) |
x |
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x))))) |
(fma.f64 (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (*.f64 t x)) (neg.f64 x) x) |
-1 |
#s(literal -1 binary64) |
(- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1) |
(-.f64 (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (*.f64 t x)) #s(literal 1 binary64)) |
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) |
(*.f64 (-.f64 (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (*.f64 t x)) #s(literal 1 binary64)) (neg.f64 x)) |
(+ x (* y (- (/ 1 t) (/ (exp z) t)))) |
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 (exp.f64 z) t)) y x) |
(+ x (* y (- (+ (* 1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ 1 t)) (/ (exp z) t)))) |
(fma.f64 (-.f64 (/.f64 (fma.f64 y (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #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 (-.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) #s(literal -1/3 binary64)) y) y (fma.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) #s(literal 1/2 binary64)) y #s(literal 1 binary64))) t) (/.f64 (exp.f64 z) t)) y x) |
(/ (* y (- (exp z) 1)) t) |
(/.f64 (*.f64 (expm1.f64 z) y) t) |
(* y (- (+ (* -1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ (exp z) t)) (/ 1 t))) |
(*.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) (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 (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) y) (*.f64 #s(literal -1/2 binary64) (pow.f64 (expm1.f64 z) #s(literal 2 binary64)))) 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))) |
(*.f64 (fma.f64 (/.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)))) t) y (/.f64 (expm1.f64 z) t)) y) |
(* y (- (exp z) 1)) |
(*.f64 (expm1.f64 z) y) |
(* y (- (+ (exp z) (* -1/2 (* y (pow (- (exp z) 1) 2)))) 1)) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (pow.f64 (expm1.f64 z) #s(literal 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 #s(literal 1/3 binary64) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) y) (*.f64 #s(literal -1/2 binary64) (pow.f64 (expm1.f64 z) #s(literal 2 binary64)))) y (expm1.f64 z)) y) |
(* y (- (+ (exp z) (* y (+ (* -1/2 (pow (- (exp z) 1) 2)) (* y (+ (* -1/4 (* y (pow (- (exp z) 1) 4))) (* 1/3 (pow (- (exp z) 1) 3))))))) 1)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 4 binary64)) y) #s(literal -1/4 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 (expm1.f64 z) #s(literal 3 binary64)))) y (*.f64 #s(literal -1/2 binary64) (pow.f64 (expm1.f64 z) #s(literal 2 binary64)))) y (expm1.f64 z)) y) |
(* y z) |
(*.f64 z y) |
(* y (+ 1/2 (* 1/6 z))) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y) |
(+ x (* -1 (* x (* y (- (/ (exp z) (* t x)) (/ 1 (* t x))))))) |
(fma.f64 (/.f64 (/.f64 (*.f64 (expm1.f64 z) y) t) x) (neg.f64 x) x) |
(+ x (* y (+ (* -1 (* x (- (/ (exp z) (* t x)) (/ 1 (* t x))))) (* 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 (/.f64 (/.f64 (expm1.f64 z) x) t) (neg.f64 x))) y x) |
(+ x (* y (+ (* -1 (* x (- (/ (exp z) (* t x)) (/ 1 (* t x))))) (* y (+ (* -1/3 (/ (* y (pow (- (exp z) 1) 3)) t)) (* 1/2 (/ (pow (- (exp z) 1) 2) t))))))) |
(fma.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) #s(literal -1/3 binary64)) y)) t) y (*.f64 (/.f64 (/.f64 (expm1.f64 z) x) t) (neg.f64 x))) y x) |
(- (* y (- (/ (exp z) (* t x)) (/ 1 (* t x)))) 1) |
(-.f64 (/.f64 (/.f64 (*.f64 (expm1.f64 z) y) t) x) #s(literal 1 binary64)) |
(- (* y (- (+ (* -1/2 (/ (* y (pow (- (exp z) 1) 2)) (* t x))) (/ (exp z) (* t x))) (/ 1 (* t x)))) 1) |
(-.f64 (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) (expm1.f64 z)) (*.f64 t x)) y) #s(literal 1 binary64)) |
(- (* 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)))) 1) |
(-.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) y) (*.f64 #s(literal -1/2 binary64) (pow.f64 (expm1.f64 z) #s(literal 2 binary64)))) (*.f64 t x)) y (/.f64 (/.f64 (expm1.f64 z) x) t)) y) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* y (- (exp z) 1))) |
(fma.f64 (expm1.f64 z) y #s(literal 1 binary64)) |
(/ (* y (- (exp z) 1)) (* t x)) |
(/.f64 (/.f64 (*.f64 (expm1.f64 z) y) t) x) |
(* y (- (+ (* -1/2 (/ (* y (pow (- (exp z) 1) 2)) (* t x))) (/ (exp z) (* t x))) (/ 1 (* t x)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) (expm1.f64 z)) (*.f64 t x)) 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 (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) y) (*.f64 #s(literal -1/2 binary64) (pow.f64 (expm1.f64 z) #s(literal 2 binary64)))) (*.f64 t x)) 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 (/.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)))) (*.f64 t x)) y (/.f64 (/.f64 (expm1.f64 z) x) t)) y) |
(- x (+ (* -1 (/ (log (/ 1 y)) t)) (/ (log (- (exp z) 1)) t))) |
(-.f64 x (/.f64 (+.f64 (log.f64 y) (log.f64 (expm1.f64 z))) t)) |
(- x (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t)))) |
(-.f64 x (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 z) y)) (+.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 x (/.f64 (/.f64 #s(literal -1/2 binary64) t) (*.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) y) y))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 z) y)) (+.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 x (/.f64 (/.f64 #s(literal -1/2 binary64) t) (*.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) y) y))) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 z) y)) (/.f64 #s(literal -1/3 binary64) (pow.f64 (*.f64 (expm1.f64 z) y) #s(literal 3 binary64)))) 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)) (+.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 (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 z) y)) (+.f64 (log.f64 y) (log.f64 (expm1.f64 z)))) t) (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y y) t)) (pow.f64 (expm1.f64 z) #s(literal 2 binary64)))) |
(- (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (+ (* 1/3 (/ 1 (* t (* (pow y 3) (pow (- (exp z) 1) 3))))) (/ (log (- (exp z) 1)) t)))) (* 1/2 (/ 1 (* t (* (pow y 2) (pow (- (exp z) 1) 2)))))) |
(-.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 z) y)) (/.f64 #s(literal -1/3 binary64) (pow.f64 (*.f64 (expm1.f64 z) y) #s(literal 3 binary64)))) t) (/.f64 (+.f64 (log.f64 y) (log.f64 (expm1.f64 z))) t)) (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y y) t)) (pow.f64 (expm1.f64 z) #s(literal 2 binary64)))) |
(+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) |
(+.f64 (log.f64 y) (log.f64 (expm1.f64 z))) |
(+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp z) 1))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 z) y)) (+.f64 (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 #s(literal 1 binary64) (*.f64 (expm1.f64 z) y)) (+.f64 (log.f64 y) (log.f64 (expm1.f64 z)))) (/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (expm1.f64 z) #s(literal 2 binary64))) (*.f64 y y))) |
(- (+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (+ (/ 1 (* y (- (exp z) 1))) (* 1/3 (/ 1 (* (pow y 3) (pow (- (exp z) 1) 3))))))) (* 1/2 (/ 1 (* (pow y 2) (pow (- (exp z) 1) 2))))) |
(-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 z) y)) (+.f64 (log.f64 y) (log.f64 (expm1.f64 z)))) (/.f64 #s(literal -1/3 binary64) (pow.f64 (*.f64 (expm1.f64 z) y) #s(literal 3 binary64)))) (/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (expm1.f64 z) #s(literal 2 binary64))) (*.f64 y y))) |
(* -1 (* x (- (+ (* -1 (/ (log (/ 1 y)) (* t x))) (/ (log (- (exp z) 1)) (* t x))) 1))) |
(*.f64 (-.f64 (/.f64 (+.f64 (log.f64 y) (log.f64 (expm1.f64 z))) (*.f64 t x)) #s(literal 1 binary64)) (neg.f64 x)) |
(- (* -1 (* x (- (+ (* -1 (/ (log (/ 1 y)) (* t x))) (/ (log (- (exp z) 1)) (* t x))) 1))) (/ 1 (* t (* y (- (exp z) 1))))) |
(-.f64 (*.f64 (-.f64 (/.f64 (+.f64 (log.f64 y) (log.f64 (expm1.f64 z))) (*.f64 t x)) #s(literal 1 binary64)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (expm1.f64 z) y) t))) |
(- (+ (* -1 (* x (- (+ (* -1 (/ (log (/ 1 y)) (* t x))) (/ (log (- (exp z) 1)) (* t x))) 1))) (/ 1/2 (* t (* (pow y 2) (pow (- (exp z) 1) 2))))) (/ 1 (* t (* y (- (exp z) 1))))) |
(fma.f64 (-.f64 (/.f64 (+.f64 (log.f64 y) (log.f64 (expm1.f64 z))) (*.f64 t x)) #s(literal 1 binary64)) (neg.f64 x) (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y y) t)) (pow.f64 (expm1.f64 z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (expm1.f64 z) y) t)))) |
(- (+ (* -1 (* x (- (+ (* -1 (/ (log (/ 1 y)) (* t x))) (/ (log (- (exp z) 1)) (* t x))) 1))) (* 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))))))) |
(fma.f64 (-.f64 (/.f64 (+.f64 (log.f64 y) (log.f64 (expm1.f64 z))) (*.f64 t x)) #s(literal 1 binary64)) (neg.f64 x) (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y y) t)) (pow.f64 (expm1.f64 z) #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 z) y)) (/.f64 #s(literal -1/3 binary64) (pow.f64 (*.f64 (expm1.f64 z) y) #s(literal 3 binary64)))) t))) |
(- (+ (* -1 (/ (log (/ 1 y)) (* t x))) (/ (log (- (exp z) 1)) (* t x))) 1) |
(-.f64 (/.f64 (+.f64 (log.f64 y) (log.f64 (expm1.f64 z))) (*.f64 t x)) #s(literal 1 binary64)) |
(- (+ (* -1 (/ (log (/ 1 y)) (* t x))) (+ (/ 1 (* t (* x (* y (- (exp z) 1))))) (/ (log (- (exp z) 1)) (* t x)))) 1) |
(-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 z) y)) (+.f64 (log.f64 y) (log.f64 (expm1.f64 z)))) t) x) #s(literal 1 binary64)) |
(- (+ (* -1 (/ (log (/ 1 y)) (* t x))) (+ (/ 1 (* t (* x (* y (- (exp z) 1))))) (/ (log (- (exp z) 1)) (* t x)))) (+ 1 (/ 1/2 (* t (* x (* (pow y 2) (pow (- (exp z) 1) 2))))))) |
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(*.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 (*.f64 z y) #s(literal 1/2 binary64) y) z) |
(* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y))))) |
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y) z y) z) |
(* z (+ y (* z (+ (* 1/2 y) (* z (+ (* 1/24 (* y z)) (* 1/6 y))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 z y) (*.f64 #s(literal 1/6 binary64) y)) z (*.f64 #s(literal 1/2 binary64) y)) z y) z) |
(* 1/2 y) |
(*.f64 #s(literal 1/2 binary64) y) |
(+ (* 1/6 (* y z)) (* 1/2 y)) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y) |
(+ x (* z (+ (* -1 (/ y t)) (* -1/2 (/ (* z (+ y (* -1 (pow y 2)))) t))))) |
(fma.f64 (/.f64 (fma.f64 z (*.f64 (-.f64 y (*.f64 y y)) #s(literal -1/2 binary64)) (neg.f64 y)) t) z x) |
(+ 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 (/.f64 (fma.f64 (-.f64 y (*.f64 y y)) #s(literal -1/2 binary64) (*.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)) #s(literal -1/6 binary64)) z)) t) z (/.f64 (neg.f64 y) t)) z x) |
(- (/ (* y z) (* t x)) 1) |
(-.f64 (*.f64 (/.f64 (/.f64 y t) x) z) #s(literal 1 binary64)) |
(- (* z (+ (* 1/2 (/ (* z (+ y (* -1 (pow y 2)))) (* t x))) (/ y (* t x)))) 1) |
(-.f64 (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) z) (*.f64 t x)) #s(literal 1 binary64)) |
(- (* 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)))) 1) |
(-.f64 (*.f64 (/.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)) z) #s(literal 1/6 binary64) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) z y) (*.f64 t x)) z) #s(literal 1 binary64)) |
(+ 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 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y) z y) z #s(literal 1 binary64)) |
(/ (* y z) (* t x)) |
(*.f64 (/.f64 (/.f64 y t) x) z) |
(* z (+ (* 1/2 (/ (* z (+ y (* -1 (pow y 2)))) (* t x))) (/ y (* t x)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) z) (*.f64 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)))) |
(*.f64 (/.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)) z) #s(literal 1/6 binary64) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) z y) (*.f64 t x)) z) |
(* 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)))) |
(*.f64 (fma.f64 (/.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))) (*.f64 t x)) z (/.f64 (/.f64 y t) x)) z) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) t) |
(/ (- (exp z) 1) t) |
(/.f64 (expm1.f64 z) t) |
(log (- (+ 1 (* y (exp z))) y)) |
(log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) |
(* 1/6 (* y z)) |
(*.f64 (*.f64 #s(literal 1/6 binary64) z) y) |
(* z (+ (* 1/6 y) (* 1/2 (/ y z)))) |
(*.f64 (fma.f64 (/.f64 y z) #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y)) z) |
(- (+ 1 (* y (exp z))) y) |
(-.f64 (fma.f64 (exp.f64 z) y #s(literal 1 binary64)) y) |
(- (* y (exp z)) y) |
(-.f64 (*.f64 (exp.f64 z) y) y) |
(* -1 (* z (+ (* -1/2 (/ y z)) (* -1/6 y)))) |
(*.f64 (neg.f64 z) (fma.f64 (/.f64 y z) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) y))) |
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) |
(/.f64 (-.f64 (*.f64 t x) (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y))) t) |
(/ (+ (* -1 (log (- (+ 1 (* y (exp z))) y))) (* t x)) t) |
(/.f64 (-.f64 (*.f64 t x) (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y))) t) |
(/ (+ (* -1 t) (/ (log (- (+ 1 (* y (exp z))) y)) x)) t) |
(/.f64 (-.f64 (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) x) t) t) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 342 |
| 0 | 75 | 342 |
| 1 | 287 | 319 |
| 2 | 2171 | 319 |
| 0 | 8359 | 310 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))) |
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) |
(*.f64 (/.f64 (expm1.f64 z) t) y) |
(/.f64 (expm1.f64 z) t) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) |
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) |
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) |
(*.f64 z y) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t)) |
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t) |
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) |
(*.f64 (expm1.f64 z) y) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal 1/2 binary64) y)) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal 1/2 binary64) y)) z y) z #s(literal 1 binary64)))) t)) |
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal 1/2 binary64) y)) z y) z #s(literal 1 binary64)))) t) |
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal 1/2 binary64) y)) z y) z #s(literal 1 binary64)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (*.f64 (neg.f64 x) (-.f64 (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (*.f64 t x)) #s(literal 1 binary64)))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (*.f64 t x)) #s(literal 1 binary64))) |
(neg.f64 x) |
(-.f64 (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (*.f64 t x)) #s(literal 1 binary64)) |
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal 1/2 binary64) y)) z y) z #s(literal 1 binary64))) |
(-.f64 (*.f64 (exp.f64 z) y) y) |
(/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (*.f64 t x)) |
(log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) |
| Outputs |
|---|
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) x)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) x) (*.f64 x x))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) x)) (*.f64 (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) x) (pow.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) #s(literal 2 binary64)))) (*.f64 (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) x) (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) x))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) x) (*.f64 x x))) (*.f64 (fma.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) x) (*.f64 x x)) (pow.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) #s(literal 3 binary64)))) (*.f64 (fma.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) x) (*.f64 x x)) (fma.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) x) (*.f64 x x)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) x) (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) #s(literal 2 binary64))) (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) x)) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) #s(literal 3 binary64))) (fma.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) x) (*.f64 x x))) |
(-.f64 (/.f64 (*.f64 x x) (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) x)) (/.f64 (pow.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) #s(literal 2 binary64)) (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) x))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) x) (*.f64 x x))) (/.f64 (pow.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) #s(literal 3 binary64)) (fma.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) x) (*.f64 x x)))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))) |
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) |
(*.f64 (/.f64 (expm1.f64 z) t) y) |
(*.f64 (expm1.f64 z) (/.f64 y t)) |
(*.f64 y (/.f64 (expm1.f64 z) t)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (expm1.f64 z)) y)) (neg.f64 (neg.f64 t))) |
(/.f64 (neg.f64 (*.f64 y (neg.f64 (expm1.f64 z)))) (neg.f64 (neg.f64 t))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (expm1.f64 z) y))) (neg.f64 (neg.f64 t))) |
(/.f64 (*.f64 (neg.f64 (expm1.f64 z)) y) (neg.f64 t)) |
(/.f64 (*.f64 y (neg.f64 (expm1.f64 z))) (neg.f64 t)) |
(/.f64 (neg.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)) |
(/.f64 (*.f64 (expm1.f64 z) y) t) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 z) t) #s(literal 2 binary64)) (pow.f64 t #s(literal -2 binary64)))) (neg.f64 (+.f64 (/.f64 (exp.f64 z) t) (pow.f64 t #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 z) t) #s(literal 3 binary64)) (pow.f64 t #s(literal -3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (exp.f64 z) t) #s(literal 2 binary64)) (+.f64 (pow.f64 t #s(literal -2 binary64)) (*.f64 (/.f64 (exp.f64 z) t) (pow.f64 t #s(literal -1 binary64))))))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (expm1.f64 z)))) (neg.f64 (neg.f64 (neg.f64 t)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (exp.f64 z) t) (*.f64 t #s(literal 1 binary64)))) (neg.f64 (*.f64 t t))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (exp.f64 z)) (neg.f64 t)) (*.f64 (neg.f64 t) #s(literal -1 binary64))) (*.f64 t t)) |
(/.f64 (-.f64 (*.f64 (neg.f64 (exp.f64 z)) t) (*.f64 (neg.f64 t) #s(literal 1 binary64))) (*.f64 (neg.f64 t) t)) |
(/.f64 (-.f64 (*.f64 (exp.f64 z) (neg.f64 t)) (*.f64 t #s(literal -1 binary64))) (*.f64 t (neg.f64 t))) |
(/.f64 (-.f64 (neg.f64 (exp.f64 z)) #s(literal -1 binary64)) (neg.f64 t)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 z) t) #s(literal 2 binary64)) (pow.f64 t #s(literal -2 binary64))) (+.f64 (/.f64 (exp.f64 z) t) (pow.f64 t #s(literal -1 binary64)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 z) t) #s(literal 3 binary64)) (pow.f64 t #s(literal -3 binary64))) (+.f64 (pow.f64 (/.f64 (exp.f64 z) t) #s(literal 2 binary64)) (+.f64 (pow.f64 t #s(literal -2 binary64)) (*.f64 (/.f64 (exp.f64 z) t) (pow.f64 t #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (expm1.f64 z))) (neg.f64 (neg.f64 t))) |
(/.f64 (neg.f64 (expm1.f64 (+.f64 z z))) (neg.f64 (*.f64 (+.f64 (exp.f64 z) #s(literal 1 binary64)) t))) |
(/.f64 (neg.f64 (expm1.f64 (*.f64 z #s(literal 3 binary64)))) (neg.f64 (*.f64 (fma.f64 (exp.f64 z) (exp.f64 z) (+.f64 (exp.f64 z) #s(literal 1 binary64))) t))) |
(/.f64 (-.f64 (*.f64 (exp.f64 z) t) (*.f64 t #s(literal 1 binary64))) (*.f64 t t)) |
(/.f64 (expm1.f64 (+.f64 z z)) (*.f64 (+.f64 (exp.f64 z) #s(literal 1 binary64)) t)) |
(/.f64 (expm1.f64 (*.f64 z #s(literal 3 binary64))) (*.f64 (fma.f64 (exp.f64 z) (exp.f64 z) (+.f64 (exp.f64 z) #s(literal 1 binary64))) t)) |
(/.f64 (neg.f64 (expm1.f64 z)) (neg.f64 t)) |
(/.f64 (expm1.f64 z) t) |
(neg.f64 (/.f64 (neg.f64 (expm1.f64 z)) t)) |
(neg.f64 (/.f64 (expm1.f64 z) (neg.f64 t))) |
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(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (*.f64 t x)) #s(literal 3 binary64)) (+.f64 (+.f64 (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (*.f64 t x)) #s(literal 1 binary64)) (pow.f64 (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (*.f64 t x)) #s(literal 2 binary64)))) (*.f64 (+.f64 (+.f64 (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (*.f64 t x)) #s(literal 1 binary64)) (pow.f64 (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (*.f64 t x)) #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 (+.f64 (+.f64 (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (*.f64 t x)) #s(literal 1 binary64)) (pow.f64 (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (*.f64 t x)) #s(literal 2 binary64))) (+.f64 (+.f64 (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (*.f64 t x)) #s(literal 1 binary64)) (pow.f64 (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (*.f64 t x)) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (*.f64 t x)) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (*.f64 t x)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (*.f64 t x)) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (+.f64 (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (*.f64 t x)) #s(literal 1 binary64)) (pow.f64 (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (*.f64 t x)) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (*.f64 t x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (*.f64 t x)) #s(literal 1 binary64))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (*.f64 t x)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (*.f64 t x)) #s(literal 1 binary64)) (pow.f64 (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (*.f64 t x)) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (*.f64 t x)) #s(literal 2 binary64)) (+.f64 (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (*.f64 t x)) #s(literal 1 binary64))) (pow.f64 (+.f64 (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (*.f64 t x)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (*.f64 t x)) #s(literal 3 binary64)) (+.f64 (+.f64 (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (*.f64 t x)) #s(literal 1 binary64)) (pow.f64 (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (*.f64 t x)) #s(literal 2 binary64)))) (pow.f64 (+.f64 (+.f64 (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (*.f64 t x)) #s(literal 1 binary64)) (pow.f64 (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (*.f64 t x)) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(-.f64 (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (*.f64 t x)) #s(literal 1 binary64)) |
#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))) |
(*.f64 (-.f64 (*.f64 (exp.f64 z) y) y) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (-.f64 (*.f64 (exp.f64 z) y) y)) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)) (*.f64 y y)))) (neg.f64 (fma.f64 (exp.f64 z) y y))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (fma.f64 y (fma.f64 (exp.f64 z) y y) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)) (*.f64 y y)))) (neg.f64 (neg.f64 (fma.f64 (exp.f64 z) y y)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 y (fma.f64 (exp.f64 z) y y) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)) (fma.f64 (exp.f64 z) y y)) (*.f64 (fma.f64 (exp.f64 z) y y) (*.f64 y y))) (pow.f64 (fma.f64 (exp.f64 z) y y) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 3 binary64)) (fma.f64 y (fma.f64 (exp.f64 z) y y) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)))) (*.f64 (fma.f64 y (fma.f64 (exp.f64 z) y y) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64))) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (fma.f64 y (fma.f64 (exp.f64 z) y y) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64))) #s(literal 2 binary64))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)) (*.f64 y y))) (fma.f64 (exp.f64 z) y y)) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (fma.f64 (exp.f64 z) y y) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)) (*.f64 y y))) (neg.f64 (fma.f64 (exp.f64 z) y y))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (fma.f64 (exp.f64 z) y y) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)) (*.f64 y y)) (fma.f64 (exp.f64 z) y y)) |
(/.f64 (-.f64 (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (fma.f64 (exp.f64 z) y y) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)) (fma.f64 (exp.f64 z) y y)) (/.f64 (*.f64 y y) (fma.f64 (exp.f64 z) y y))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 3 binary64)) (fma.f64 y (fma.f64 (exp.f64 z) y y) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (fma.f64 (exp.f64 z) y y) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64))))) |
(-.f64 (*.f64 (exp.f64 z) y) y) |
(*.f64 (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (*.f64 t x)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (*.f64 t x))) |
(/.f64 (neg.f64 (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) x)) (neg.f64 t)) |
(/.f64 (neg.f64 (*.f64 (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) t) #s(literal 1 binary64))) (neg.f64 x)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y))) #s(literal 1 binary64))) (neg.f64 (*.f64 (neg.f64 t) x))) |
(/.f64 (neg.f64 (*.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) #s(literal 1 binary64))) (*.f64 (neg.f64 t) x)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y))))) (neg.f64 (neg.f64 (*.f64 (neg.f64 t) x)))) |
(/.f64 (neg.f64 (neg.f64 (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) t))) (neg.f64 (neg.f64 x))) |
(/.f64 (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) x) t) |
(/.f64 (*.f64 (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) t) #s(literal 1 binary64)) x) |
(/.f64 (*.f64 (neg.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y))) #s(literal 1 binary64)) (*.f64 (neg.f64 t) x)) |
(/.f64 (*.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) #s(literal 1 binary64)) (*.f64 t x)) |
(/.f64 (neg.f64 (neg.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)))) (neg.f64 (*.f64 (neg.f64 t) x))) |
(/.f64 (neg.f64 (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) t)) (neg.f64 x)) |
(/.f64 (neg.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y))) (*.f64 (neg.f64 t) x)) |
(/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (*.f64 t x)) |
(/.f64 (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) t) x) |
(neg.f64 (/.f64 (neg.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y))) (*.f64 t x))) |
(neg.f64 (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (*.f64 (neg.f64 t) x))) |
(log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) |
(-.f64 (log.f64 (-.f64 (pow.f64 (fma.f64 (exp.f64 z) y #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 y y))) (log.f64 (+.f64 (fma.f64 (exp.f64 z) y #s(literal 1 binary64)) y))) |
(-.f64 (log.f64 (-.f64 (pow.f64 (-.f64 (*.f64 (exp.f64 z) y) y) #s(literal 2 binary64)) #s(literal 1 binary64))) (log.f64 (-.f64 (-.f64 (*.f64 (exp.f64 z) y) y) #s(literal 1 binary64)))) |
(-.f64 (log.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)))) (log.f64 (-.f64 (*.f64 (exp.f64 z) y) (-.f64 #s(literal 1 binary64) y)))) |
(-.f64 (log.f64 (-.f64 (pow.f64 (fma.f64 (exp.f64 z) y #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (log.f64 (+.f64 (pow.f64 (fma.f64 (exp.f64 z) y #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 y y (*.f64 (fma.f64 (exp.f64 z) y #s(literal 1 binary64)) y))))) |
(-.f64 (log.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) (neg.f64 (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 3 binary64))))) (log.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (neg.f64 y) (exp.f64 z))))))) |
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 y (*.f64 (exp.f64 z) y)) #s(literal 3 binary64)))) (log1p.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (exp.f64 z) y) y) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (-.f64 y (*.f64 (exp.f64 z) y)))))) |
(-.f64 (log.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))))) (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 z) y y))))) |
(-.f64 (log.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))))) (log.f64 (neg.f64 (fma.f64 (*.f64 (exp.f64 z) y) (-.f64 (*.f64 (exp.f64 z) y) (-.f64 #s(literal 1 binary64) y)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)))))) |
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (*.f64 (exp.f64 z) y) y) #s(literal 2 binary64))))) (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (-.f64 (*.f64 (exp.f64 z) y) y))))) |
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (exp.f64 z) y) y) #s(literal 3 binary64)) #s(literal 1 binary64)))) (log.f64 (neg.f64 (fma.f64 (-.f64 (*.f64 (exp.f64 z) y) y) (-.f64 (-.f64 (*.f64 (exp.f64 z) y) y) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (*.f64 (exp.f64 z) y) y) #s(literal 2 binary64)))) (log1p.f64 (-.f64 y (*.f64 (exp.f64 z) y)))) |
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (*.f64 (exp.f64 z) y) y) #s(literal 2 binary64)))) (log.f64 (-.f64 #s(literal 1 binary64) (-.f64 (*.f64 (exp.f64 z) y) y)))) |
(-.f64 (log1p.f64 (pow.f64 (-.f64 (*.f64 (exp.f64 z) y) y) #s(literal 3 binary64))) (log.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (exp.f64 z) y) y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (-.f64 (*.f64 (exp.f64 z) y) y))))) |
(-.f64 (log1p.f64 (pow.f64 (-.f64 (*.f64 (exp.f64 z) y) y) #s(literal 3 binary64))) (log1p.f64 (*.f64 (-.f64 (*.f64 (exp.f64 z) y) y) (-.f64 (-.f64 (*.f64 (exp.f64 z) y) y) #s(literal 1 binary64))))) |
(-.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)))) (log.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 z) y y)))) |
(-.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)))) (log.f64 (+.f64 (pow.f64 (*.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 #s(literal 1 binary64) y) y) (exp.f64 z)))))) |
(-.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)))) (log.f64 (fma.f64 (*.f64 (exp.f64 z) y) (-.f64 (*.f64 (exp.f64 z) y) (-.f64 #s(literal 1 binary64) y)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64))))) |
(log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))) |
Compiled 15 906 to 1 986 computations (87.5% saved)
17 alts after pruning (15 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 350 | 8 | 358 |
| Fresh | 2 | 7 | 9 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 355 | 17 | 372 |
| Status | Accuracy | Program |
|---|---|---|
| 59.5% | (-.f64 x (/.f64 (log.f64 (-.f64 (fma.f64 (exp.f64 z) y (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 y (/.f64 y (+.f64 y #s(literal 1 binary64)))))) t)) | |
| 59.5% | (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y) z y) z #s(literal 1 binary64)))) t)) | |
| ▶ | 61.5% | (-.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)) |
| 59.4% | (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 (* z y)) (* 1/2 y)) (*.f64 (*.f64 #s(literal 1/6 binary64) z) y)) z y) z #s(literal 1 binary64)))) t)) | |
| ▶ | 81.0% | (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t)) |
| 66.7% | (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t)) | |
| 58.5% | (-.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)) | |
| ✓ | 82.7% | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t)) |
| ✓ | 70.9% | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) |
| 52.5% | (-.f64 x (-.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 (log.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 z) y y))) t))) | |
| 51.7% | (-.f64 x (-.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) (-.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 z) y y)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)))) t))) | |
| ▶ | 65.4% | (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y))) |
| 65.1% | (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp z) 1) t) y) (*.f64 (/.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) t) z)))) | |
| 72.3% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 y) (/.f64 z t) x)) | |
| ▶ | 15.1% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (neg.f64 t))) |
| 11.6% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (*.f64 (neg.f64 x) #s(approx (- (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) 1) (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (*.f64 t x))))) | |
| ▶ | 70.9% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (*.f64 (neg.f64 x) #s(approx (- (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) 1) #s(literal -1 binary64)))) |
Compiled 879 to 639 computations (27.3% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 (*.f64 (exp.f64 z) y) y) | |
| cost-diff | 0 | (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) | |
| cost-diff | 0 | (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (neg.f64 t)) | |
| cost-diff | 0 | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (neg.f64 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 (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) | |
| cost-diff | 0 | (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y) | |
| cost-diff | 0 | #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y)) | |
| cost-diff | 0 | (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y))) | |
| cost-diff | 0 | #s(approx (- (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) 1) #s(literal -1 binary64)) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | (*.f64 (neg.f64 x) #s(approx (- (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) 1) #s(literal -1 binary64))) | |
| cost-diff | 0 | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (*.f64 (neg.f64 x) #s(approx (- (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) 1) #s(literal -1 binary64)))) | |
| cost-diff | 0 | #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64))) | |
| cost-diff | 0 | (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) | |
| cost-diff | 0 | (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t) | |
| cost-diff | 0 | (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 417 |
| 0 | 84 | 417 |
| 1 | 128 | 409 |
| 2 | 227 | 409 |
| 3 | 522 | 409 |
| 4 | 1294 | 409 |
| 5 | 4830 | 409 |
| 0 | 8402 | 401 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t)) |
x |
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t) |
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) |
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64))) |
(fma.f64 (expm1.f64 z) y #s(literal 1 binary64)) |
(expm1.f64 z) |
z |
y |
#s(literal 1 binary64) |
t |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (*.f64 (neg.f64 x) #s(approx (- (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) 1) #s(literal -1 binary64)))) |
(*.f64 (neg.f64 x) #s(approx (- (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) 1) #s(literal -1 binary64))) |
(neg.f64 x) |
x |
#s(approx (- (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) 1) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y))) |
x |
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y)) |
(*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y) |
#s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) |
(fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
z |
#s(literal 1 binary64) |
t |
y |
(-.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 |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (neg.f64 t))) |
(/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (neg.f64 t)) |
(log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) |
(-.f64 (*.f64 (exp.f64 z) y) y) |
(*.f64 (exp.f64 z) y) |
(exp.f64 z) |
z |
y |
(neg.f64 t) |
t |
| Outputs |
|---|
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t)) |
x |
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t) |
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) |
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64))) |
(fma.f64 (expm1.f64 z) y #s(literal 1 binary64)) |
(expm1.f64 z) |
z |
y |
#s(literal 1 binary64) |
t |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (*.f64 (neg.f64 x) #s(approx (- (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) 1) #s(literal -1 binary64)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (*.f64 #s(approx (- (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) 1) #s(literal -1 binary64)) (neg.f64 x))) |
(*.f64 (neg.f64 x) #s(approx (- (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) 1) #s(literal -1 binary64))) |
(*.f64 #s(approx (- (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) 1) #s(literal -1 binary64)) (neg.f64 x)) |
(neg.f64 x) |
x |
#s(approx (- (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) 1) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y))) |
x |
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y)) |
(*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y) |
#s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) |
(fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
z |
#s(literal 1 binary64) |
t |
y |
(-.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 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 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) |
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 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)))) |
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 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))) |
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 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 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) y) z #s(literal 1 binary64)) |
(fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) y) |
(*.f64 z y) |
z |
y |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
t |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (neg.f64 t))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 (+.f64 #s(literal -1 binary64) (exp.f64 z)) y)) (neg.f64 t))) |
(/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (neg.f64 t)) |
(/.f64 (log1p.f64 (*.f64 (+.f64 #s(literal -1 binary64) (exp.f64 z)) y)) (neg.f64 t)) |
(log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) |
(log1p.f64 (*.f64 (+.f64 #s(literal -1 binary64) (exp.f64 z)) y)) |
(-.f64 (*.f64 (exp.f64 z) y) y) |
(*.f64 (+.f64 #s(literal -1 binary64) (exp.f64 z)) y) |
(*.f64 (exp.f64 z) y) |
(exp.f64 z) |
z |
y |
(neg.f64 t) |
t |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.7302208523803684 | (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) | |
| accuracy | 3.133291570798398 | (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (neg.f64 t)) | |
| accuracy | 29.616325704321234 | (-.f64 (*.f64 (exp.f64 z) y) y) | |
| accuracy | 43.65003719831451 | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (neg.f64 t))) | |
| accuracy | 0.04296875 | (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64)) | |
| accuracy | 3.133291570798398 | (/.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 | 19.49871468191955 | #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64))) | |
| accuracy | 35.799555969372584 | (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 | 0.16796875 | (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z) | |
| accuracy | 2.3553930198329986 | (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y) | |
| accuracy | 15.466643261647802 | #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y)) | |
| accuracy | 21.7794214979518 | #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) | |
| accuracy | 0.0 | (neg.f64 x) | |
| accuracy | 0.0 | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (*.f64 (neg.f64 x) #s(approx (- (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) 1) #s(literal -1 binary64)))) | |
| accuracy | 1.934831329692418 | (*.f64 (neg.f64 x) #s(approx (- (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) 1) #s(literal -1 binary64))) | |
| accuracy | 18.709141935489473 | #s(approx (- (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) 1) #s(literal -1 binary64)) | |
| accuracy | 0.00390625 | (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)) | |
| accuracy | 0.0078125 | (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t)) | |
| accuracy | 3.133291570798398 | (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t) | |
| accuracy | 35.799555969372584 | (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) |
| 187.0ms | 169× | 1 | valid |
| 52.0ms | 51× | 2 | valid |
| 27.0ms | 36× | 0 | valid |
Compiled 294 to 40 computations (86.4% saved)
ival-div: 55.0ms (26.2% of total)ival-mult: 46.0ms (21.9% of total)ival-log: 30.0ms (14.3% of total)ival-exp: 22.0ms (10.5% of total)adjust: 19.0ms (9% of total)ival-sub: 16.0ms (7.6% of total)ival-add: 8.0ms (3.8% of total)ival-neg: 6.0ms (2.9% of total)ival-log1p: 4.0ms (1.9% of total)ival-expm1: 2.0ms (1% of total)exact: 1.0ms (0.5% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t)) |
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t) |
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) |
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (*.f64 (neg.f64 x) #s(approx (- (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) 1) #s(literal -1 binary64)))) |
(*.f64 (neg.f64 x) #s(approx (- (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) 1) #s(literal -1 binary64))) |
(neg.f64 x) |
#s(approx (- (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) 1) #s(literal -1 binary64)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y))) |
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y)) |
(*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y) |
#s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) |
(-.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))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (neg.f64 t))) |
(/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (neg.f64 t)) |
(log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) |
(-.f64 (*.f64 (exp.f64 z) y) y) |
(fma.f64 (expm1.f64 z) y #s(literal 1 binary64)) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) 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 (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) |
(* -1 x) |
(/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) |
(/ (+ (* -1 x) (/ (log (- (+ 1 (* y (exp z))) y)) t)) x) |
x |
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x))))) |
-1 |
(- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1) |
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) |
(+ x (* y (- (/ 1 t) (/ (exp z) t)))) |
(+ x (* y (- (+ (* 1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ 1 t)) (/ (exp z) t)))) |
(+ x (* y (- (+ (* y (- (* -1/3 (/ (* y (pow (- (exp z) 1) 3)) t)) (* -1/2 (/ (pow (- (exp z) 1) 2) t)))) (/ 1 t)) (/ (exp z) t)))) |
(/ (* y (- (exp z) 1)) t) |
(* y (- (+ (* -1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ (exp z) t)) (/ 1 t))) |
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) t)) (* 1/3 (/ (* y (pow (- (exp z) 1) 3)) t)))) (/ (exp z) t)) (/ 1 t))) |
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) t)) (* y (+ (* -1/4 (/ (* y (pow (- (exp z) 1) 4)) t)) (* 1/3 (/ (pow (- (exp z) 1) 3) t)))))) (/ (exp z) t)) (/ 1 t))) |
(* y (- (exp z) 1)) |
(* y (- (+ (exp z) (* -1/2 (* y (pow (- (exp z) 1) 2)))) 1)) |
(* y (- (+ (exp z) (* y (+ (* -1/2 (pow (- (exp z) 1) 2)) (* 1/3 (* y (pow (- (exp z) 1) 3)))))) 1)) |
(* y (- (+ (exp z) (* y (+ (* -1/2 (pow (- (exp z) 1) 2)) (* y (+ (* -1/4 (* y (pow (- (exp z) 1) 4))) (* 1/3 (pow (- (exp z) 1) 3))))))) 1)) |
1 |
(+ 1 (* y (- (exp z) 1))) |
(+ x (* -1 (* x (* y (- (/ (exp z) (* t x)) (/ 1 (* t x))))))) |
(+ x (* y (+ (* -1 (* x (- (/ (exp z) (* t x)) (/ 1 (* t x))))) (* 1/2 (/ (* y (pow (- (exp z) 1) 2)) t))))) |
(+ x (* y (+ (* -1 (* x (- (/ (exp z) (* t x)) (/ 1 (* t x))))) (* y (+ (* -1/3 (/ (* y (pow (- (exp z) 1) 3)) t)) (* 1/2 (/ (pow (- (exp z) 1) 2) t))))))) |
(- (* y (- (/ (exp z) (* t x)) (/ 1 (* t x)))) 1) |
(- (* y (- (+ (* -1/2 (/ (* y (pow (- (exp z) 1) 2)) (* t x))) (/ (exp z) (* t x))) (/ 1 (* t x)))) 1) |
(- (* 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)))) 1) |
(* -1 (/ (* y (- (exp z) 1)) t)) |
(* y (+ (* -1 (/ (- (exp z) 1) t)) (* 1/2 (/ (* y (pow (- (exp z) 1) 2)) t)))) |
(* y (+ (* -1 (/ (- (exp z) 1) t)) (* y (+ (* -1/3 (/ (* y (pow (- (exp z) 1) 3)) t)) (* 1/2 (/ (pow (- (exp z) 1) 2) t)))))) |
(* y (+ (* -1 (/ (- (exp z) 1) t)) (* y (+ (* 1/2 (/ (pow (- (exp z) 1) 2) t)) (* y (+ (* -1/3 (/ (pow (- (exp z) 1) 3) t)) (* 1/4 (/ (* y (pow (- (exp z) 1) 4)) t)))))))) |
(+ 1 (* y (* z (+ 1 (* 1/2 z))))) |
(- x (+ (* -1 (/ (log (/ 1 y)) t)) (/ (log (- (exp z) 1)) t))) |
(- x (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t)))) |
(- (+ x (/ 1/2 (* t (* (pow y 2) (pow (- (exp z) 1) 2))))) (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t)))) |
(- (+ x (* 1/2 (/ 1 (* t (* (pow y 2) (pow (- (exp z) 1) 2)))))) (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (+ (* 1/3 (/ 1 (* t (* (pow y 3) (pow (- (exp z) 1) 3))))) (/ (log (- (exp z) 1)) t))))) |
(/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t) |
(+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t))) |
(- (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t))) (/ 1/2 (* t (* (pow y 2) (pow (- (exp z) 1) 2))))) |
(- (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (+ (* 1/3 (/ 1 (* t (* (pow y 3) (pow (- (exp z) 1) 3))))) (/ (log (- (exp z) 1)) t)))) (* 1/2 (/ 1 (* t (* (pow y 2) (pow (- (exp z) 1) 2)))))) |
(+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) |
(+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp z) 1))))) |
(- (+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp z) 1))))) (/ 1/2 (* (pow y 2) (pow (- (exp z) 1) 2)))) |
(- (+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (+ (/ 1 (* y (- (exp z) 1))) (* 1/3 (/ 1 (* (pow y 3) (pow (- (exp z) 1) 3))))))) (* 1/2 (/ 1 (* (pow y 2) (pow (- (exp z) 1) 2))))) |
(* y (- (+ (exp z) (/ 1 y)) 1)) |
(* -1 (* x (- (+ (* -1 (/ (log (/ 1 y)) (* t x))) (/ (log (- (exp z) 1)) (* t x))) 1))) |
(- (* -1 (* x (- (+ (* -1 (/ (log (/ 1 y)) (* t x))) (/ (log (- (exp z) 1)) (* t x))) 1))) (/ 1 (* t (* y (- (exp z) 1))))) |
(- (+ (* -1 (* x (- (+ (* -1 (/ (log (/ 1 y)) (* t x))) (/ (log (- (exp z) 1)) (* t x))) 1))) (/ 1/2 (* t (* (pow y 2) (pow (- (exp z) 1) 2))))) (/ 1 (* t (* y (- (exp z) 1))))) |
(- (+ (* -1 (* x (- (+ (* -1 (/ (log (/ 1 y)) (* t x))) (/ (log (- (exp z) 1)) (* t x))) 1))) (* 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 (/ (log (/ 1 y)) (* t x))) (/ (log (- (exp z) 1)) (* t x))) 1) |
(- (+ (* -1 (/ (log (/ 1 y)) (* t x))) (+ (/ 1 (* t (* x (* y (- (exp z) 1))))) (/ (log (- (exp z) 1)) (* t x)))) 1) |
(- (+ (* -1 (/ (log (/ 1 y)) (* t x))) (+ (/ 1 (* t (* x (* y (- (exp z) 1))))) (/ (log (- (exp z) 1)) (* t x)))) (+ 1 (/ 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 (* 1/2 (/ 1 (* t (* x (* (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))))))) |
(* y (* z (+ 1 (* 1/2 z)))) |
(* y (+ (* z (+ 1 (* 1/2 z))) (/ 1 y))) |
(- x (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
(- (+ x (/ 1 (* t (* y (+ 1 (* -1 (exp z))))))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
(- (+ x (+ (/ 1/2 (* t (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (* t (* y (+ 1 (* -1 (exp z)))))))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
(- (+ x (* -1 (/ (- (* -1 (/ (+ (* 1/3 (/ 1 (* t (* y (pow (+ 1 (* -1 (exp z))) 3))))) (* 1/2 (/ 1 (* t (pow (+ 1 (* -1 (exp z))) 2))))) y)) (/ 1 (* t (+ 1 (* -1 (exp z)))))) y))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
(/ (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) t) |
(- (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t)) (/ 1 (* t (* y (+ 1 (* -1 (exp z))))))) |
(+ (* -1 (/ (log (/ -1 y)) t)) (+ (* -1 (/ (+ (* 1/2 (/ 1 (* t (* y (pow (+ 1 (* -1 (exp z))) 2))))) (/ 1 (* t (+ 1 (* -1 (exp z)))))) y)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
(+ (* -1 (/ (log (/ -1 y)) t)) (+ (* -1 (/ (+ (/ 1/3 (* t (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 3)))) (+ (/ 1/2 (* t (* y (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (* t (+ 1 (* -1 (exp z))))))) y)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
(+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) |
(- (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) (/ 1 (* y (+ 1 (* -1 (exp z)))))) |
(+ (log (+ 1 (* -1 (exp z)))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* 1/2 (/ 1 (* y (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (+ 1 (* -1 (exp z))))) y)))) |
(+ (log (+ 1 (* -1 (exp z)))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (/ 1/3 (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 3))) (+ (/ 1/2 (* y (pow (+ 1 (* -1 (exp z))) 2))) (/ 1 (+ 1 (* -1 (exp z)))))) y)))) |
(* -1 (* y (+ 1 (* -1 (exp z))))) |
(* -1 (* y (- (+ 1 (* -1 (exp z))) (/ 1 y)))) |
(* -1 (* x (- (+ (* -1 (/ (log (/ -1 y)) (* t x))) (/ (log (+ 1 (* -1 (exp z)))) (* t x))) 1))) |
(+ (* -1 (* x (- (+ (* -1 (/ (log (/ -1 y)) (* t x))) (/ (log (+ 1 (* -1 (exp z)))) (* t x))) 1))) (/ 1 (* t (* y (+ 1 (* -1 (exp z))))))) |
(+ (* -1 (* x (- (+ (* -1 (/ (log (/ -1 y)) (* t x))) (/ (log (+ 1 (* -1 (exp z)))) (* t x))) 1))) (+ (/ 1/2 (* t (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (* t (* y (+ 1 (* -1 (exp z)))))))) |
(+ (* -1 (* x (- (+ (* -1 (/ (log (/ -1 y)) (* t x))) (/ (log (+ 1 (* -1 (exp z)))) (* t x))) 1))) (* -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 x))) (/ (log (+ 1 (* -1 (exp z)))) (* t x))) 1) |
(- (+ (* -1 (/ (log (/ -1 y)) (* t x))) (/ (log (+ 1 (* -1 (exp z)))) (* t x))) (+ 1 (/ 1 (* t (* x (* y (+ 1 (* -1 (exp z))))))))) |
(- (+ (* -1 (/ (log (/ -1 y)) (* t x))) (+ (* -1 (/ (+ (* 1/2 (/ 1 (* t (* x (* y (pow (+ 1 (* -1 (exp z))) 2)))))) (/ 1 (* t (* x (+ 1 (* -1 (exp z))))))) y)) (/ (log (+ 1 (* -1 (exp z)))) (* t x)))) 1) |
(- (+ (* -1 (/ (log (/ -1 y)) (* t x))) (+ (* -1 (/ (+ (/ 1/3 (* t (* x (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 3))))) (+ (/ 1/2 (* t (* x (* y (pow (+ 1 (* -1 (exp z))) 2))))) (/ 1 (* t (* x (+ 1 (* -1 (exp z)))))))) y)) (/ (log (+ 1 (* -1 (exp z)))) (* t x)))) 1) |
(* -1 (/ (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) t)) |
(+ (* -1 (/ (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) t)) (/ 1 (* t (* y (+ 1 (* -1 (exp z))))))) |
(+ (* -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)))))))) |
(+ (* -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 (- (exp z) 1)) (/ 1 y)))) |
(* -1 (* y (* z (- (* -1/2 z) 1)))) |
(* -1 (* y (- (* z (- (* -1/2 z) 1)) (/ 1 y)))) |
(+ x (* -1 (/ (* y z) t))) |
(+ x (* z (- (* -1/2 (/ (* z (+ y (* -1 (pow y 2)))) t)) (/ y t)))) |
(+ x (* z (- (* z (- (* -1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) t)) (* 1/2 (/ (+ y (* -1 (pow y 2))) t)))) (/ y t)))) |
(/ (* 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 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))))))))))) |
(+ 1 (* y z)) |
(+ 1 (* z (+ y (* 1/2 (* y z))))) |
(+ 1 (* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 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) (* t x)) 1) |
(- (* z (+ (* 1/2 (/ (* z (+ y (* -1 (pow y 2)))) (* t x))) (/ y (* t x)))) 1) |
(- (* 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)))) 1) |
(* z (+ (* 1/2 (/ (* y z) t)) (/ y t))) |
(* z (+ (* z (+ (* 1/6 (/ (* y z) t)) (* 1/2 (/ y t)))) (/ y t))) |
(* z (+ (* z (+ (* 1/2 (/ y t)) (* z (+ (* 1/24 (/ (* y z) t)) (* 1/6 (/ y t)))))) (/ y t))) |
(/ z t) |
(* z (+ (* 1/2 (/ z t)) (/ 1 t))) |
(* z (+ (* z (+ (* 1/6 (/ z t)) (* 1/2 (/ 1 t)))) (/ 1 t))) |
(* z (+ (* z (+ (* z (+ (* 1/24 (/ z t)) (* 1/6 (/ 1 t)))) (* 1/2 (/ 1 t)))) (/ 1 t))) |
(* -1 (/ (* y z) t)) |
(* z (+ (* -1 (/ y t)) (* -1/2 (/ (* z (+ y (* -1 (pow y 2)))) t)))) |
(* z (+ (* -1 (/ y t)) (* z (+ (* -1/2 (/ (+ y (* -1 (pow y 2))) t)) (* -1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) t)))))) |
(* z (+ (* -1 (/ y t)) (* z (+ (* -1/2 (/ (+ y (* -1 (pow y 2))) t)) (* z (+ (* -1/6 (/ (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))) t)) (* -1/24 (/ (* z (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3))))))) t)))))))) |
(* 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))))))) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(log (- (+ 1 (* y (exp z))) y)) |
(- (+ 1 (* y (exp z))) y) |
(/ (- (exp z) 1) t) |
(- (* y (exp z)) y) |
(* 1/2 (/ (pow z 2) t)) |
(* (pow z 2) (+ (* 1/2 (/ 1 t)) (/ 1 (* t 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)))) |
(* (pow z 2) (+ (* -1 (/ (- (* -1 y) (/ 1 z)) z)) (* 1/2 y))) |
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) |
(/ (+ (* -1 (log (- (+ 1 (* y (exp z))) y))) (* t x)) t) |
(/ (+ (* -1 t) (/ (log (- (+ 1 (* y (exp z))) y)) x)) t) |
(/ (* z (+ 1 (* 1/2 z))) t) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 30.0ms | t | @ | 0 | ((- 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)) (* (neg x) (- (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) 1)) (neg x) (- (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) 1) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (exp z) 1) t) y) (/ (- (exp z) 1) t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (log (+ 1 (- (* (exp z) y) y))) (- (* (exp z) y) y) (+ (* (- (exp z) 1) y) 1) (* (/ (+ (* 1/2 z) 1) t) z) (+ (* (+ (* (* z y) 1/2) y) z) 1)) |
| 12.0ms | t | @ | -inf | ((- 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)) (* (neg x) (- (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) 1)) (neg x) (- (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) 1) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (exp z) 1) t) y) (/ (- (exp z) 1) t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (log (+ 1 (- (* (exp z) y) y))) (- (* (exp z) y) y) (+ (* (- (exp z) 1) y) 1) (* (/ (+ (* 1/2 z) 1) t) z) (+ (* (+ (* (* z y) 1/2) y) z) 1)) |
| 11.0ms | t | @ | inf | ((- 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)) (* (neg x) (- (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) 1)) (neg x) (- (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) 1) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (exp z) 1) t) y) (/ (- (exp z) 1) t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (log (+ 1 (- (* (exp z) y) y))) (- (* (exp z) y) y) (+ (* (- (exp z) 1) y) 1) (* (/ (+ (* 1/2 z) 1) t) z) (+ (* (+ (* (* z y) 1/2) y) z) 1)) |
| 11.0ms | z | @ | inf | ((- 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)) (* (neg x) (- (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) 1)) (neg x) (- (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) 1) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (exp z) 1) t) y) (/ (- (exp z) 1) t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (log (+ 1 (- (* (exp z) y) y))) (- (* (exp z) y) y) (+ (* (- (exp z) 1) y) 1) (* (/ (+ (* 1/2 z) 1) t) z) (+ (* (+ (* (* z y) 1/2) y) z) 1)) |
| 10.0ms | z | @ | -inf | ((- 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)) (* (neg x) (- (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) 1)) (neg x) (- (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) 1) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (exp z) 1) t) y) (/ (- (exp z) 1) t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (log (+ 1 (- (* (exp z) y) y))) (- (* (exp z) y) y) (+ (* (- (exp z) 1) y) 1) (* (/ (+ (* 1/2 z) 1) t) z) (+ (* (+ (* (* z y) 1/2) y) z) 1)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 600 | 3505 |
| 1 | 2009 | 3170 |
| 2 | 7763 | 3082 |
| 0 | 8286 | 2694 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) |
(* -1 x) |
(/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) |
(/ (+ (* -1 x) (/ (log (- (+ 1 (* y (exp z))) y)) t)) x) |
x |
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x))))) |
-1 |
(- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1) |
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) |
(+ x (* y (- (/ 1 t) (/ (exp z) t)))) |
(+ x (* y (- (+ (* 1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ 1 t)) (/ (exp z) t)))) |
(+ x (* y (- (+ (* y (- (* -1/3 (/ (* y (pow (- (exp z) 1) 3)) t)) (* -1/2 (/ (pow (- (exp z) 1) 2) t)))) (/ 1 t)) (/ (exp z) t)))) |
(/ (* y (- (exp z) 1)) t) |
(* y (- (+ (* -1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ (exp z) t)) (/ 1 t))) |
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) t)) (* 1/3 (/ (* y (pow (- (exp z) 1) 3)) t)))) (/ (exp z) t)) (/ 1 t))) |
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) t)) (* y (+ (* -1/4 (/ (* y (pow (- (exp z) 1) 4)) t)) (* 1/3 (/ (pow (- (exp z) 1) 3) t)))))) (/ (exp z) t)) (/ 1 t))) |
(* y (- (exp z) 1)) |
(* y (- (+ (exp z) (* -1/2 (* y (pow (- (exp z) 1) 2)))) 1)) |
(* y (- (+ (exp z) (* y (+ (* -1/2 (pow (- (exp z) 1) 2)) (* 1/3 (* y (pow (- (exp z) 1) 3)))))) 1)) |
(* y (- (+ (exp z) (* y (+ (* -1/2 (pow (- (exp z) 1) 2)) (* y (+ (* -1/4 (* y (pow (- (exp z) 1) 4))) (* 1/3 (pow (- (exp z) 1) 3))))))) 1)) |
1 |
(+ 1 (* y (- (exp z) 1))) |
(+ x (* -1 (* x (* y (- (/ (exp z) (* t x)) (/ 1 (* t x))))))) |
(+ x (* y (+ (* -1 (* x (- (/ (exp z) (* t x)) (/ 1 (* t x))))) (* 1/2 (/ (* y (pow (- (exp z) 1) 2)) t))))) |
(+ x (* y (+ (* -1 (* x (- (/ (exp z) (* t x)) (/ 1 (* t x))))) (* y (+ (* -1/3 (/ (* y (pow (- (exp z) 1) 3)) t)) (* 1/2 (/ (pow (- (exp z) 1) 2) t))))))) |
(- (* y (- (/ (exp z) (* t x)) (/ 1 (* t x)))) 1) |
(- (* y (- (+ (* -1/2 (/ (* y (pow (- (exp z) 1) 2)) (* t x))) (/ (exp z) (* t x))) (/ 1 (* t x)))) 1) |
(- (* 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)))) 1) |
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(* y (+ (* -1 (/ (- (exp z) 1) t)) (* 1/2 (/ (* y (pow (- (exp z) 1) 2)) t)))) |
(* y (+ (* -1 (/ (- (exp z) 1) t)) (* y (+ (* -1/3 (/ (* y (pow (- (exp z) 1) 3)) t)) (* 1/2 (/ (pow (- (exp z) 1) 2) t)))))) |
(* y (+ (* -1 (/ (- (exp z) 1) t)) (* y (+ (* 1/2 (/ (pow (- (exp z) 1) 2) t)) (* y (+ (* -1/3 (/ (pow (- (exp z) 1) 3) t)) (* 1/4 (/ (* y (pow (- (exp z) 1) 4)) t)))))))) |
(+ 1 (* y (* z (+ 1 (* 1/2 z))))) |
(- x (+ (* -1 (/ (log (/ 1 y)) t)) (/ (log (- (exp z) 1)) t))) |
(- x (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t)))) |
(- (+ x (/ 1/2 (* t (* (pow y 2) (pow (- (exp z) 1) 2))))) (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t)))) |
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(/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t) |
(+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t))) |
(- (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t))) (/ 1/2 (* t (* (pow y 2) (pow (- (exp z) 1) 2))))) |
(- (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (+ (* 1/3 (/ 1 (* t (* (pow y 3) (pow (- (exp z) 1) 3))))) (/ (log (- (exp z) 1)) t)))) (* 1/2 (/ 1 (* t (* (pow y 2) (pow (- (exp z) 1) 2)))))) |
(+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) |
(+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp z) 1))))) |
(- (+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp z) 1))))) (/ 1/2 (* (pow y 2) (pow (- (exp z) 1) 2)))) |
(- (+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (+ (/ 1 (* y (- (exp z) 1))) (* 1/3 (/ 1 (* (pow y 3) (pow (- (exp z) 1) 3))))))) (* 1/2 (/ 1 (* (pow y 2) (pow (- (exp z) 1) 2))))) |
(* y (- (+ (exp z) (/ 1 y)) 1)) |
(* -1 (* x (- (+ (* -1 (/ (log (/ 1 y)) (* t x))) (/ (log (- (exp z) 1)) (* t x))) 1))) |
(- (* -1 (* x (- (+ (* -1 (/ (log (/ 1 y)) (* t x))) (/ (log (- (exp z) 1)) (* t x))) 1))) (/ 1 (* t (* y (- (exp z) 1))))) |
(- (+ (* -1 (* x (- (+ (* -1 (/ (log (/ 1 y)) (* t x))) (/ (log (- (exp z) 1)) (* t x))) 1))) (/ 1/2 (* t (* (pow y 2) (pow (- (exp z) 1) 2))))) (/ 1 (* t (* y (- (exp z) 1))))) |
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(- (+ (* -1 (/ (log (/ 1 y)) (* t x))) (/ (log (- (exp z) 1)) (* t x))) 1) |
(- (+ (* -1 (/ (log (/ 1 y)) (* t x))) (+ (/ 1 (* t (* x (* y (- (exp z) 1))))) (/ (log (- (exp z) 1)) (* t x)))) 1) |
(- (+ (* -1 (/ (log (/ 1 y)) (* t x))) (+ (/ 1 (* t (* x (* y (- (exp z) 1))))) (/ (log (- (exp z) 1)) (* t x)))) (+ 1 (/ 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 (* 1/2 (/ 1 (* t (* x (* (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))))))) |
(* y (* z (+ 1 (* 1/2 z)))) |
(* y (+ (* z (+ 1 (* 1/2 z))) (/ 1 y))) |
(- x (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
(- (+ x (/ 1 (* t (* y (+ 1 (* -1 (exp z))))))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
(- (+ x (+ (/ 1/2 (* t (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (* t (* y (+ 1 (* -1 (exp z)))))))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
(- (+ x (* -1 (/ (- (* -1 (/ (+ (* 1/3 (/ 1 (* t (* y (pow (+ 1 (* -1 (exp z))) 3))))) (* 1/2 (/ 1 (* t (pow (+ 1 (* -1 (exp z))) 2))))) y)) (/ 1 (* t (+ 1 (* -1 (exp z)))))) y))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
(/ (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) t) |
(- (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t)) (/ 1 (* t (* y (+ 1 (* -1 (exp z))))))) |
(+ (* -1 (/ (log (/ -1 y)) t)) (+ (* -1 (/ (+ (* 1/2 (/ 1 (* t (* y (pow (+ 1 (* -1 (exp z))) 2))))) (/ 1 (* t (+ 1 (* -1 (exp z)))))) y)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
(+ (* -1 (/ (log (/ -1 y)) t)) (+ (* -1 (/ (+ (/ 1/3 (* t (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 3)))) (+ (/ 1/2 (* t (* y (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (* t (+ 1 (* -1 (exp z))))))) y)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
(+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) |
(- (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) (/ 1 (* y (+ 1 (* -1 (exp z)))))) |
(+ (log (+ 1 (* -1 (exp z)))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* 1/2 (/ 1 (* y (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (+ 1 (* -1 (exp z))))) y)))) |
(+ (log (+ 1 (* -1 (exp z)))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (/ 1/3 (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 3))) (+ (/ 1/2 (* y (pow (+ 1 (* -1 (exp z))) 2))) (/ 1 (+ 1 (* -1 (exp z)))))) y)))) |
(* -1 (* y (+ 1 (* -1 (exp z))))) |
(* -1 (* y (- (+ 1 (* -1 (exp z))) (/ 1 y)))) |
(* -1 (* x (- (+ (* -1 (/ (log (/ -1 y)) (* t x))) (/ (log (+ 1 (* -1 (exp z)))) (* t x))) 1))) |
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(+ (* -1 (* x (- (+ (* -1 (/ (log (/ -1 y)) (* t x))) (/ (log (+ 1 (* -1 (exp z)))) (* t x))) 1))) (* -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 x))) (/ (log (+ 1 (* -1 (exp z)))) (* t x))) 1) |
(- (+ (* -1 (/ (log (/ -1 y)) (* t x))) (/ (log (+ 1 (* -1 (exp z)))) (* t x))) (+ 1 (/ 1 (* t (* x (* y (+ 1 (* -1 (exp z))))))))) |
(- (+ (* -1 (/ (log (/ -1 y)) (* t x))) (+ (* -1 (/ (+ (* 1/2 (/ 1 (* t (* x (* y (pow (+ 1 (* -1 (exp z))) 2)))))) (/ 1 (* t (* x (+ 1 (* -1 (exp z))))))) y)) (/ (log (+ 1 (* -1 (exp z)))) (* t x)))) 1) |
(- (+ (* -1 (/ (log (/ -1 y)) (* t x))) (+ (* -1 (/ (+ (/ 1/3 (* t (* x (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 3))))) (+ (/ 1/2 (* t (* x (* y (pow (+ 1 (* -1 (exp z))) 2))))) (/ 1 (* t (* x (+ 1 (* -1 (exp z)))))))) y)) (/ (log (+ 1 (* -1 (exp z)))) (* t x)))) 1) |
(* -1 (/ (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) t)) |
(+ (* -1 (/ (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) t)) (/ 1 (* t (* y (+ 1 (* -1 (exp z))))))) |
(+ (* -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)))))))) |
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(* -1 (* y (- (* -1 (- (exp z) 1)) (/ 1 y)))) |
(* -1 (* y (* z (- (* -1/2 z) 1)))) |
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(+ 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 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)))))))) |
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(+ 1 (* y z)) |
(+ 1 (* z (+ y (* 1/2 (* y z))))) |
(+ 1 (* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 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) (* t x)) 1) |
(- (* z (+ (* 1/2 (/ (* z (+ y (* -1 (pow y 2)))) (* t x))) (/ y (* t x)))) 1) |
(- (* 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)))) 1) |
(* z (+ (* 1/2 (/ (* y z) t)) (/ y t))) |
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(* z (+ (* z (+ (* 1/2 (/ y t)) (* z (+ (* 1/24 (/ (* y z) t)) (* 1/6 (/ y t)))))) (/ y t))) |
(/ z t) |
(* z (+ (* 1/2 (/ z t)) (/ 1 t))) |
(* z (+ (* z (+ (* 1/6 (/ z t)) (* 1/2 (/ 1 t)))) (/ 1 t))) |
(* z (+ (* z (+ (* z (+ (* 1/24 (/ z t)) (* 1/6 (/ 1 t)))) (* 1/2 (/ 1 t)))) (/ 1 t))) |
(* -1 (/ (* y z) t)) |
(* z (+ (* -1 (/ y t)) (* -1/2 (/ (* z (+ y (* -1 (pow y 2)))) t)))) |
(* z (+ (* -1 (/ y t)) (* z (+ (* -1/2 (/ (+ y (* -1 (pow y 2))) t)) (* -1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) t)))))) |
(* z (+ (* -1 (/ y t)) (* z (+ (* -1/2 (/ (+ y (* -1 (pow y 2))) t)) (* z (+ (* -1/6 (/ (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))) t)) (* -1/24 (/ (* z (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3))))))) t)))))))) |
(* 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))))))) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(log (- (+ 1 (* y (exp z))) y)) |
(- (+ 1 (* y (exp z))) y) |
(/ (- (exp z) 1) t) |
(- (* y (exp z)) y) |
(* 1/2 (/ (pow z 2) t)) |
(* (pow z 2) (+ (* 1/2 (/ 1 t)) (/ 1 (* t 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)))) |
(* (pow z 2) (+ (* -1 (/ (- (* -1 y) (/ 1 z)) z)) (* 1/2 y))) |
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) |
(/ (+ (* -1 (log (- (+ 1 (* y (exp z))) y))) (* t x)) t) |
(/ (+ (* -1 t) (/ (log (- (+ 1 (* y (exp z))) y)) x)) t) |
(/ (* z (+ 1 (* 1/2 z))) t) |
| Outputs |
|---|
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (neg.f64 t)) |
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(-.f64 x (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) t)) |
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) |
(-.f64 x (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) t)) |
(* -1 x) |
(neg.f64 x) |
(/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) |
(/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (*.f64 t x)) |
(/ (+ (* -1 x) (/ (log (- (+ 1 (* y (exp z))) y)) t)) x) |
(/.f64 (-.f64 (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) t) x) x) |
x |
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x))))) |
(fma.f64 (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (*.f64 t x)) (neg.f64 x) x) |
-1 |
#s(literal -1 binary64) |
(- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1) |
(-.f64 (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (*.f64 t x)) #s(literal 1 binary64)) |
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) |
(*.f64 (-.f64 (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (*.f64 t x)) #s(literal 1 binary64)) (neg.f64 x)) |
(+ x (* y (- (/ 1 t) (/ (exp z) t)))) |
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 (exp.f64 z) t)) y x) |
(+ x (* y (- (+ (* 1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ 1 t)) (/ (exp z) t)))) |
(fma.f64 (-.f64 (/.f64 (fma.f64 y (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #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 (-.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) y) #s(literal -1/3 binary64)) y (fma.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) #s(literal 1/2 binary64)) y #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 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) (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 (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) y) (*.f64 #s(literal -1/2 binary64) (pow.f64 (expm1.f64 z) #s(literal 2 binary64)))) 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))) |
(*.f64 (fma.f64 (/.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)))) t) y (/.f64 (expm1.f64 z) t)) y) |
(* y (- (exp z) 1)) |
(*.f64 (expm1.f64 z) y) |
(* y (- (+ (exp z) (* -1/2 (* y (pow (- (exp z) 1) 2)))) 1)) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (pow.f64 (expm1.f64 z) #s(literal 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 #s(literal 1/3 binary64) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) y) (*.f64 #s(literal -1/2 binary64) (pow.f64 (expm1.f64 z) #s(literal 2 binary64)))) y (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) |
1 |
#s(literal 1 binary64) |
(+ 1 (* y (- (exp z) 1))) |
(fma.f64 (expm1.f64 z) y #s(literal 1 binary64)) |
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(* -1 (* y (- (+ 1 (* -1 (exp z))) (/ 1 y)))) |
(*.f64 (neg.f64 y) (-.f64 (-.f64 #s(literal 1 binary64) (exp.f64 z)) (/.f64 #s(literal 1 binary64) y))) |
(* -1 (* x (- (+ (* -1 (/ (log (/ -1 y)) (* t x))) (/ (log (+ 1 (* -1 (exp z)))) (* t x))) 1))) |
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(+ (* -1 (* x (- (+ (* -1 (/ (log (/ -1 y)) (* t x))) (/ (log (+ 1 (* -1 (exp z)))) (* t x))) 1))) (/ 1 (* t (* y (+ 1 (* -1 (exp z))))))) |
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(+ (* -1 (* x (- (+ (* -1 (/ (log (/ -1 y)) (* t x))) (/ (log (+ 1 (* -1 (exp z)))) (* t x))) 1))) (+ (/ 1/2 (* t (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (* t (* y (+ 1 (* -1 (exp z)))))))) |
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(+ (* -1 (* x (- (+ (* -1 (/ (log (/ -1 y)) (* t x))) (/ (log (+ 1 (* -1 (exp z)))) (* t x))) 1))) (* -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))) |
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(-.f64 (fma.f64 (/.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 z))) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) y))) t) x) y) #s(literal -1 binary64) (/.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 z))) (log.f64 (/.f64 #s(literal -1 binary64) y))) (*.f64 t x))) #s(literal 1 binary64)) |
(- (+ (* -1 (/ (log (/ -1 y)) (* t x))) (+ (* -1 (/ (+ (/ 1/3 (* t (* x (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 3))))) (+ (/ 1/2 (* t (* x (* y (pow (+ 1 (* -1 (exp z))) 2))))) (/ 1 (* t (* x (+ 1 (* -1 (exp z)))))))) y)) (/ (log (+ 1 (* -1 (exp z)))) (* t x)))) 1) |
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(* -1 (/ (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) t)) |
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(/.f64 (fma.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 z))) (log.f64 (/.f64 #s(literal -1 binary64) y))) #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 z))) y)) t) |
(+ (* -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)))))))) |
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(+ (* -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))) |
(-.f64 (/.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 z))) (log.f64 (/.f64 #s(literal -1 binary64) y))) (neg.f64 t)) (/.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (expm1.f64 z) #s(literal 2 binary64))) (/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 z)) #s(literal 3 binary64)) y))) t) (neg.f64 y)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 z)) t))) y)) |
(* -1 (* y (- (* -1 (- (exp z) 1)) (/ 1 y)))) |
(*.f64 (neg.f64 y) (-.f64 (neg.f64 (expm1.f64 z)) (/.f64 #s(literal 1 binary64) y))) |
(* -1 (* y (* z (- (* -1/2 z) 1)))) |
(*.f64 (*.f64 (neg.f64 y) z) (-.f64 (*.f64 #s(literal -1/2 binary64) z) #s(literal 1 binary64))) |
(* -1 (* y (- (* z (- (* -1/2 z) 1)) (/ 1 y)))) |
(*.f64 (neg.f64 y) (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) z) #s(literal 1 binary64)) z) (/.f64 #s(literal 1 binary64) y))) |
(+ x (* -1 (/ (* y z) t))) |
(fma.f64 (neg.f64 y) (/.f64 z 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)) t) #s(literal -1/2 binary64)) z) (/.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 (/.f64 (fma.f64 (-.f64 y (*.f64 y y)) #s(literal -1/2 binary64) (*.f64 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)))) t) z) (/.f64 y t)) z x) |
(/ (* y z) t) |
(/.f64 (*.f64 z y) t) |
(* z (+ (* 1/2 (/ (* z (+ y (* -1 (pow y 2)))) t)) (/ y t))) |
(*.f64 (/.f64 (fma.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) z 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 (/.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) 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 (/.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))) t) z (/.f64 y t)) z) |
(* y z) |
(*.f64 z y) |
(* z (+ y (* 1/2 (* z (+ y (* -1 (pow y 2))))))) |
(*.f64 (fma.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) z y) z) |
(* z (+ y (* z (+ (* 1/6 (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))) (* 1/2 (+ y (* -1 (pow y 2)))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) (fma.f64 (*.f64 #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) |
(+ 1 (* y z)) |
(fma.f64 z y #s(literal 1 binary64)) |
(+ 1 (* z (+ y (* 1/2 (* y z))))) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y #s(literal 1 binary64)) |
(+ 1 (* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal 1/2 binary64) y)) z y) z #s(literal 1 binary64)) |
(+ x (* z (+ (* -1 (/ y t)) (* -1/2 (/ (* z (+ y (* -1 (pow y 2)))) t))))) |
(fma.f64 (/.f64 (fma.f64 z (*.f64 (-.f64 y (*.f64 y y)) #s(literal -1/2 binary64)) (neg.f64 y)) t) z x) |
(+ 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 (/.f64 (fma.f64 (-.f64 y (*.f64 y y)) #s(literal -1/2 binary64) (*.f64 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)))) t) z (/.f64 (neg.f64 y) t)) z x) |
(- (/ (* y z) (* t x)) 1) |
(-.f64 (*.f64 (/.f64 (/.f64 y t) x) z) #s(literal 1 binary64)) |
(- (* z (+ (* 1/2 (/ (* z (+ y (* -1 (pow y 2)))) (* t x))) (/ y (* t x)))) 1) |
(-.f64 (*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) z y) t) x) z) #s(literal 1 binary64)) |
(- (* 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)))) 1) |
(-.f64 (*.f64 (/.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) (*.f64 t x)) z) #s(literal 1 binary64)) |
(* z (+ (* 1/2 (/ (* y z) t)) (/ y t))) |
(*.f64 (/.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) t) z) |
(* z (+ (* z (+ (* 1/6 (/ (* y z) t)) (* 1/2 (/ y t)))) (/ y t))) |
(*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal 1/2 binary64) y)) z y) t) z) |
(* z (+ (* z (+ (* 1/2 (/ y t)) (* z (+ (* 1/24 (/ (* y z) t)) (* 1/6 (/ y t)))))) (/ y t))) |
(*.f64 (fma.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 z y) (*.f64 #s(literal 1/6 binary64) y)) z (*.f64 #s(literal 1/2 binary64) y)) t) z (/.f64 y t)) z) |
(/ z t) |
(/.f64 z t) |
(* z (+ (* 1/2 (/ z t)) (/ 1 t))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) t) |
(* z (+ (* z (+ (* 1/6 (/ z t)) (* 1/2 (/ 1 t)))) (/ 1 t))) |
(*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) z (fma.f64 #s(literal 1/2 binary64) z #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 (*.f64 z z) (/.f64 (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) t) (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t)) z) |
(* -1 (/ (* y z) t)) |
(*.f64 (neg.f64 y) (/.f64 z t)) |
(* z (+ (* -1 (/ y t)) (* -1/2 (/ (* z (+ y (* -1 (pow y 2)))) t)))) |
(*.f64 (/.f64 (fma.f64 z (*.f64 (-.f64 y (*.f64 y y)) #s(literal -1/2 binary64)) (neg.f64 y)) t) z) |
(* z (+ (* -1 (/ y t)) (* z (+ (* -1/2 (/ (+ y (* -1 (pow y 2))) t)) (* -1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) t)))))) |
(*.f64 (fma.f64 (/.f64 (fma.f64 (-.f64 y (*.f64 y y)) #s(literal -1/2 binary64) (*.f64 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)))) t) z (/.f64 (neg.f64 y) t)) z) |
(* z (+ (* -1 (/ y t)) (* z (+ (* -1/2 (/ (+ y (* -1 (pow y 2))) t)) (* z (+ (* -1/6 (/ (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))) t)) (* -1/24 (/ (* z (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3))))))) t)))))))) |
(*.f64 (fma.f64 (fma.f64 (/.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))) t) z (*.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal -1/2 binary64))) z (/.f64 (neg.f64 y) t)) z) |
(* z (+ y (* 1/2 (* y z)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y) |
(* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal 1/2 binary64) y)) z y) z) |
(* z (+ y (* z (+ (* 1/2 y) (* z (+ (* 1/24 (* y z)) (* 1/6 y))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 z y) (*.f64 #s(literal 1/6 binary64) y)) z (*.f64 #s(literal 1/2 binary64) y)) z y) z) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) t) |
(log (- (+ 1 (* y (exp z))) y)) |
(log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) |
(- (+ 1 (* y (exp z))) y) |
(-.f64 (fma.f64 (exp.f64 z) y #s(literal 1 binary64)) y) |
(/ (- (exp z) 1) t) |
(/.f64 (expm1.f64 z) t) |
(- (* y (exp z)) y) |
(-.f64 (*.f64 (exp.f64 z) y) y) |
(* 1/2 (/ (pow z 2) t)) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) t) z) z) |
(* (pow z 2) (+ (* 1/2 (/ 1 t)) (/ 1 (* t z)))) |
(*.f64 (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) t) z) 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)))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) z) y) z)) (*.f64 z z)) |
(* (pow z 2) (+ (* -1 (/ (- (* -1 y) (/ 1 z)) z)) (* 1/2 y))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (-.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) z)) (neg.f64 z))) (*.f64 z z)) |
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) |
(/.f64 (-.f64 (*.f64 t x) (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y))) t) |
(/ (+ (* -1 (log (- (+ 1 (* y (exp z))) y))) (* t x)) t) |
(/.f64 (fma.f64 t x (neg.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)))) t) |
(/ (+ (* -1 t) (/ (log (- (+ 1 (* y (exp z))) y)) x)) t) |
(/.f64 (-.f64 (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) x) t) t) |
(/ (* z (+ 1 (* 1/2 z))) t) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) t) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 366 |
| 0 | 84 | 366 |
| 1 | 296 | 358 |
| 2 | 2145 | 358 |
| 0 | 8127 | 350 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t)) |
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t) |
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) |
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (*.f64 (neg.f64 x) #s(approx (- (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) 1) #s(literal -1 binary64)))) |
(*.f64 (neg.f64 x) #s(approx (- (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) 1) #s(literal -1 binary64))) |
(neg.f64 x) |
#s(approx (- (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) 1) #s(literal -1 binary64)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y))) |
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y)) |
(*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y) |
#s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) |
(-.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))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (neg.f64 t))) |
(/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (neg.f64 t)) |
(log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) |
(-.f64 (*.f64 (exp.f64 z) y) y) |
(fma.f64 (expm1.f64 z) y #s(literal 1 binary64)) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z) |
(fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64)) |
| Outputs |
|---|
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (+.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t) x)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t) (+.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t) x) (*.f64 x x))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t) x)) (*.f64 (+.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t) x) (pow.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t) #s(literal 2 binary64)))) (*.f64 (+.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t) x) (+.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t) x))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t) (+.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t) x) (*.f64 x x))) (*.f64 (fma.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t) (+.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t) x) (*.f64 x x)) (pow.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t) #s(literal 3 binary64)))) (*.f64 (fma.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t) (+.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t) x) (*.f64 x x)) (fma.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t) (+.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t) x) (*.f64 x x)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t) x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t) (+.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t) x) (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t) #s(literal 2 binary64))) (+.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t) x)) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t) #s(literal 3 binary64))) (fma.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t) (+.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t) x) (*.f64 x x))) |
(-.f64 (/.f64 (*.f64 x x) (+.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t) x)) (/.f64 (pow.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t) #s(literal 2 binary64)) (+.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t) x))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t) (+.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t) x) (*.f64 x x))) (/.f64 (pow.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t) #s(literal 3 binary64)) (fma.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t) (+.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t) x) (*.f64 x x)))) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64))))))) (neg.f64 t)) |
(/.f64 (neg.f64 (neg.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))))) t) |
(/.f64 (neg.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64))))) (neg.f64 t)) |
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t) |
(neg.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) (neg.f64 t))) |
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) |
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (*.f64 #s(approx (- (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) 1) #s(literal -1 binary64)) (neg.f64 x))) |
(*.f64 #s(approx (- (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) 1) #s(literal -1 binary64)) (neg.f64 x)) |
(*.f64 (neg.f64 x) #s(approx (- (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) 1) #s(literal -1 binary64))) |
(*.f64 x (neg.f64 #s(approx (- (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) 1) #s(literal -1 binary64)))) |
(neg.f64 (*.f64 #s(approx (- (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) 1) #s(literal -1 binary64)) x)) |
(neg.f64 x) |
#s(approx (- (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) 1) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y)) x)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y)) (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y)) x) (*.f64 x x))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y)) x)) (*.f64 (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y)) x) (pow.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y)) #s(literal 2 binary64)))) (*.f64 (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y)) x) (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y)) x))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y)) (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y)) x) (*.f64 x x))) (*.f64 (fma.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y)) (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y)) x) (*.f64 x x)) (pow.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y)) #s(literal 3 binary64)))) (*.f64 (fma.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y)) (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y)) x) (*.f64 x x)) (fma.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y)) (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y)) x) (*.f64 x x)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y)) #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y)) x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y)) (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y)) x) (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y)) #s(literal 2 binary64))) (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y)) x)) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y)) #s(literal 3 binary64))) (fma.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y)) (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y)) x) (*.f64 x x))) |
(-.f64 (/.f64 (*.f64 x x) (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y)) x)) (/.f64 (pow.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y)) #s(literal 2 binary64)) (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y)) x))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y)) (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y)) x) (*.f64 x x))) (/.f64 (pow.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y)) #s(literal 3 binary64)) (fma.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y)) (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y)) x) (*.f64 x x)))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y))) |
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y)) |
(*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y) |
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(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (expm1.f64 z) y) #s(literal 2 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (*.f64 (expm1.f64 z) y) #s(literal 1 binary64))))) |
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(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (expm1.f64 z) y) #s(literal 2 binary64)) (-.f64 (*.f64 (expm1.f64 z) y) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (expm1.f64 z) y) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (expm1.f64 z) y) #s(literal 1 binary64)) (-.f64 (*.f64 (expm1.f64 z) y) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 (expm1.f64 z) y) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (expm1.f64 z) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (expm1.f64 z) y)) (*.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (expm1.f64 z) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (expm1.f64 z) y)) #s(literal 1 binary64))) (*.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (expm1.f64 z) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (expm1.f64 z) y)) (-.f64 (+.f64 (pow.f64 (*.f64 (expm1.f64 z) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (expm1.f64 z) y)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (expm1.f64 z) y) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 z) y))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (expm1.f64 z) y) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (*.f64 (expm1.f64 z) y) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (expm1.f64 z) y) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (expm1.f64 z) y) #s(literal 2 binary64)) (*.f64 (expm1.f64 z) y))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (expm1.f64 z) y) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (expm1.f64 z) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (expm1.f64 z) y)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (expm1.f64 z) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (expm1.f64 z) y) #s(literal 1 binary64))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (expm1.f64 z) y) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (expm1.f64 z) y) #s(literal 2 binary64)) (*.f64 (expm1.f64 z) y)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (expm1.f64 z) y) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (expm1.f64 z) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (expm1.f64 z) y))) |
(fma.f64 (*.f64 (expm1.f64 z) y) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 (expm1.f64 z) y #s(literal 1 binary64)) |
(fma.f64 y (*.f64 (expm1.f64 z) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 y (expm1.f64 z) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 z) y) #s(literal 1 binary64)) |
(-.f64 (/.f64 (pow.f64 (*.f64 (expm1.f64 z) y) #s(literal 2 binary64)) (-.f64 (*.f64 (expm1.f64 z) y) #s(literal 1 binary64))) (pow.f64 (-.f64 (*.f64 (expm1.f64 z) y) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (expm1.f64 z)) y)) |
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) (expm1.f64 z))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (expm1.f64 z) y) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (expm1.f64 z) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (expm1.f64 z) y))) (pow.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (expm1.f64 z) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (expm1.f64 z) y)) #s(literal -1 binary64))) |
(+.f64 (*.f64 (expm1.f64 z) y) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 z) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) (/.f64 z t)) |
(*.f64 z (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64))) z)) t) |
(/.f64 (neg.f64 (*.f64 z (neg.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64))))) t) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z))) t) |
(/.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64))) z) (neg.f64 t)) |
(/.f64 (*.f64 z (neg.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)))) (neg.f64 t)) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) (neg.f64 t)) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) t) |
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) z) t) z (*.f64 (pow.f64 t #s(literal -1 binary64)) z)) |
(fma.f64 z (/.f64 (*.f64 #s(literal 1/2 binary64) z) t) (*.f64 z (pow.f64 t #s(literal -1 binary64)))) |
(+.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) z) t) z) (*.f64 (pow.f64 t #s(literal -1 binary64)) z)) |
(+.f64 (*.f64 z (/.f64 (*.f64 #s(literal 1/2 binary64) z) t)) (*.f64 z (pow.f64 t #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z) #s(literal 2 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z) #s(literal 1 binary64)) (-.f64 (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z)) (*.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z)) #s(literal 1 binary64))) (*.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z)) (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z) #s(literal 1 binary64))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) (*.f64 z #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64)) |
(fma.f64 z (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 z (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z) #s(literal 1 binary64)) |
(-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z) #s(literal 1 binary64))) (pow.f64 (-.f64 (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y)) z)) |
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z))) (pow.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z)) #s(literal -1 binary64))) |
(+.f64 (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z)) |
Compiled 13 224 to 1 597 computations (87.9% saved)
21 alts after pruning (15 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 289 | 6 | 295 |
| Fresh | 1 | 9 | 10 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 2 | 2 |
| Total | 291 | 21 | 312 |
| Status | Accuracy | Program |
|---|---|---|
| 59.5% | (-.f64 x (/.f64 (log.f64 (-.f64 (fma.f64 (exp.f64 z) y (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 y (/.f64 y (+.f64 y #s(literal 1 binary64)))))) t)) | |
| 59.5% | (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y) z y) z #s(literal 1 binary64)))) t)) | |
| 59.4% | (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 (* z y)) (* 1/2 y)) (*.f64 (*.f64 #s(literal 1/6 binary64) z) y)) z y) z #s(literal 1 binary64)))) t)) | |
| ✓ | 81.0% | (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t)) |
| 66.7% | (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t)) | |
| ✓ | 82.7% | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t)) |
| ✓ | 70.9% | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) |
| 52.5% | (-.f64 x (-.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 (log.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 z) y y))) t))) | |
| 51.7% | (-.f64 x (-.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) (-.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 z) y y)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)))) t))) | |
| ✓ | 65.4% | (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y))) |
| 54.1% | (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) #s(approx (* (/ (+ (* 1/2 z) 1) t) z) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) t) z) z))) y))) | |
| 65.1% | (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp z) 1) t) y) (*.f64 (/.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) t) z)))) | |
| ▶ | 72.3% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 y) (/.f64 z t) x)) |
| ✓ | 15.1% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (neg.f64 t))) |
| ▶ | 18.5% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 #s(approx (- (* (exp z) y) y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 z y) (*.f64 #s(literal 1/6 binary64) y)) z (*.f64 #s(literal 1/2 binary64) y)) z y) z))) (neg.f64 t))) |
| ▶ | 18.4% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 #s(approx (- (* (exp z) y) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y))) (neg.f64 t))) |
| 11.6% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (*.f64 (neg.f64 x) #s(approx (- (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) 1) (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (*.f64 t x))))) | |
| ✓ | 70.9% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (*.f64 (neg.f64 x) #s(approx (- (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) 1) #s(literal -1 binary64)))) |
| ▶ | 13.1% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (/.f64 (fma.f64 z (*.f64 (-.f64 y (*.f64 y y)) #s(literal -1/2 binary64)) (neg.f64 y)) t) z))) |
| 20.9% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t)))) | |
| ▶ | 14.6% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (neg.f64 y) (/.f64 z t)))) |
Compiled 1 123 to 794 computations (29.3% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (log1p.f64 #s(approx (- (* (exp z) y) y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 z y) (*.f64 #s(literal 1/6 binary64) y)) z (*.f64 #s(literal 1/2 binary64) y)) z y) z))) (neg.f64 t)) | |
| cost-diff | 0 | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 #s(approx (- (* (exp z) y) y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 z y) (*.f64 #s(literal 1/6 binary64) y)) z (*.f64 #s(literal 1/2 binary64) y)) z y) z))) (neg.f64 t))) | |
| cost-diff | 2 | (fma.f64 #s(literal 1/24 binary64) (*.f64 z y) (*.f64 #s(literal 1/6 binary64) y)) | |
| cost-diff | 2 | (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 z y) (*.f64 #s(literal 1/6 binary64) y)) z (*.f64 #s(literal 1/2 binary64) y)) | |
| cost-diff | 0 | #s(approx (- (* (exp z) y) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y)) | |
| cost-diff | 0 | (log1p.f64 #s(approx (- (* (exp z) y) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y))) | |
| cost-diff | 0 | (/.f64 (log1p.f64 #s(approx (- (* (exp z) y) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y))) (neg.f64 t)) | |
| cost-diff | 0 | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 #s(approx (- (* (exp z) y) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y))) (neg.f64 t))) | |
| cost-diff | 0 | (*.f64 (/.f64 (fma.f64 z (*.f64 (-.f64 y (*.f64 y y)) #s(literal -1/2 binary64)) (neg.f64 y)) t) z) | |
| cost-diff | 0 | #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (/.f64 (fma.f64 z (*.f64 (-.f64 y (*.f64 y y)) #s(literal -1/2 binary64)) (neg.f64 y)) t) z)) | |
| cost-diff | 0 | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (/.f64 (fma.f64 z (*.f64 (-.f64 y (*.f64 y y)) #s(literal -1/2 binary64)) (neg.f64 y)) t) z))) | |
| cost-diff | 1 | (*.f64 (-.f64 y (*.f64 y y)) #s(literal -1/2 binary64)) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | (*.f64 (neg.f64 y) (/.f64 z t)) | |
| cost-diff | 0 | #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (neg.f64 y) (/.f64 z t))) | |
| cost-diff | 0 | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (neg.f64 y) (/.f64 z t)))) | |
| cost-diff | 0 | (/.f64 z t) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | (fma.f64 (neg.f64 y) (/.f64 z t) x) | |
| cost-diff | 0 | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 y) (/.f64 z t) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 56 | 536 |
| 0 | 88 | 536 |
| 1 | 157 | 528 |
| 2 | 356 | 528 |
| 3 | 1063 | 521 |
| 4 | 3459 | 521 |
| 0 | 8372 | 448 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 y) (/.f64 z t) x)) |
(fma.f64 (neg.f64 y) (/.f64 z t) x) |
(neg.f64 y) |
y |
(/.f64 z t) |
z |
t |
x |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (neg.f64 y) (/.f64 z t)))) |
#s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (neg.f64 y) (/.f64 z t))) |
(*.f64 (neg.f64 y) (/.f64 z t)) |
(neg.f64 y) |
y |
(/.f64 z t) |
z |
t |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (/.f64 (fma.f64 z (*.f64 (-.f64 y (*.f64 y y)) #s(literal -1/2 binary64)) (neg.f64 y)) t) z))) |
#s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (/.f64 (fma.f64 z (*.f64 (-.f64 y (*.f64 y y)) #s(literal -1/2 binary64)) (neg.f64 y)) t) z)) |
(*.f64 (/.f64 (fma.f64 z (*.f64 (-.f64 y (*.f64 y y)) #s(literal -1/2 binary64)) (neg.f64 y)) t) z) |
(/.f64 (fma.f64 z (*.f64 (-.f64 y (*.f64 y y)) #s(literal -1/2 binary64)) (neg.f64 y)) t) |
(fma.f64 z (*.f64 (-.f64 y (*.f64 y y)) #s(literal -1/2 binary64)) (neg.f64 y)) |
z |
(*.f64 (-.f64 y (*.f64 y y)) #s(literal -1/2 binary64)) |
(-.f64 y (*.f64 y y)) |
y |
(*.f64 y y) |
#s(literal -1/2 binary64) |
(neg.f64 y) |
t |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 #s(approx (- (* (exp z) y) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y))) (neg.f64 t))) |
(/.f64 (log1p.f64 #s(approx (- (* (exp z) y) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y))) (neg.f64 t)) |
(log1p.f64 #s(approx (- (* (exp z) y) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y))) |
#s(approx (- (* (exp z) y) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y)) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) |
(fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
z |
#s(literal 1 binary64) |
y |
(neg.f64 t) |
t |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 #s(approx (- (* (exp z) y) y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 z y) (*.f64 #s(literal 1/6 binary64) y)) z (*.f64 #s(literal 1/2 binary64) y)) z y) z))) (neg.f64 t))) |
(/.f64 (log1p.f64 #s(approx (- (* (exp z) y) y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 z y) (*.f64 #s(literal 1/6 binary64) y)) z (*.f64 #s(literal 1/2 binary64) y)) z y) z))) (neg.f64 t)) |
(log1p.f64 #s(approx (- (* (exp z) y) y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 z y) (*.f64 #s(literal 1/6 binary64) y)) z (*.f64 #s(literal 1/2 binary64) y)) z y) z))) |
#s(approx (- (* (exp z) y) y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 z y) (*.f64 #s(literal 1/6 binary64) y)) z (*.f64 #s(literal 1/2 binary64) y)) z y) z)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 z y) (*.f64 #s(literal 1/6 binary64) y)) z (*.f64 #s(literal 1/2 binary64) y)) z y) z) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 z y) (*.f64 #s(literal 1/6 binary64) y)) z (*.f64 #s(literal 1/2 binary64) y)) z y) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 z y) (*.f64 #s(literal 1/6 binary64) y)) z (*.f64 #s(literal 1/2 binary64) y)) |
(fma.f64 #s(literal 1/24 binary64) (*.f64 z y) (*.f64 #s(literal 1/6 binary64) y)) |
#s(literal 1/24 binary64) |
(*.f64 z y) |
z |
y |
(*.f64 #s(literal 1/6 binary64) y) |
#s(literal 1/6 binary64) |
(*.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
(neg.f64 t) |
t |
| Outputs |
|---|
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 y) (/.f64 z t) x)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (/.f64 z t) (neg.f64 y) x)) |
(fma.f64 (neg.f64 y) (/.f64 z t) x) |
(fma.f64 (/.f64 z t) (neg.f64 y) x) |
(neg.f64 y) |
y |
(/.f64 z t) |
z |
t |
x |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (neg.f64 y) (/.f64 z t)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (/.f64 y t) (neg.f64 z)))) |
#s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (neg.f64 y) (/.f64 z t))) |
#s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (/.f64 y t) (neg.f64 z))) |
(*.f64 (neg.f64 y) (/.f64 z t)) |
(*.f64 (/.f64 y t) (neg.f64 z)) |
(neg.f64 y) |
y |
(/.f64 z t) |
z |
t |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (/.f64 (fma.f64 z (*.f64 (-.f64 y (*.f64 y y)) #s(literal -1/2 binary64)) (neg.f64 y)) t) z))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (*.f64 (/.f64 z t) y) (-.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) y #s(literal -1/2 binary64))) #s(literal 1 binary64))))) |
#s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (/.f64 (fma.f64 z (*.f64 (-.f64 y (*.f64 y y)) #s(literal -1/2 binary64)) (neg.f64 y)) t) z)) |
#s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (*.f64 (/.f64 z t) y) (-.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) y #s(literal -1/2 binary64))) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (fma.f64 z (*.f64 (-.f64 y (*.f64 y y)) #s(literal -1/2 binary64)) (neg.f64 y)) t) z) |
(*.f64 (*.f64 (/.f64 z t) y) (-.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) y #s(literal -1/2 binary64))) #s(literal 1 binary64))) |
(/.f64 (fma.f64 z (*.f64 (-.f64 y (*.f64 y y)) #s(literal -1/2 binary64)) (neg.f64 y)) t) |
(/.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) (*.f64 z y) y)) t) |
(fma.f64 z (*.f64 (-.f64 y (*.f64 y y)) #s(literal -1/2 binary64)) (neg.f64 y)) |
(neg.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) (*.f64 z y) y)) |
z |
(*.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)) |
(fma.f64 (neg.f64 y) y y) |
y |
(*.f64 y y) |
#s(literal -1/2 binary64) |
(neg.f64 y) |
t |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 #s(approx (- (* (exp z) y) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y))) (neg.f64 t))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 #s(approx (- (* (exp z) y) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) y) z))) (neg.f64 t))) |
(/.f64 (log1p.f64 #s(approx (- (* (exp z) y) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y))) (neg.f64 t)) |
(/.f64 (log1p.f64 #s(approx (- (* (exp z) y) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) y) z))) (neg.f64 t)) |
(log1p.f64 #s(approx (- (* (exp z) y) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y))) |
(log1p.f64 #s(approx (- (* (exp z) y) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) y) z))) |
#s(approx (- (* (exp z) y) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y)) |
#s(approx (- (* (exp z) y) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) y) z)) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) y) z) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) |
(fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
z |
#s(literal 1 binary64) |
y |
(neg.f64 t) |
t |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 #s(approx (- (* (exp z) y) y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 z y) (*.f64 #s(literal 1/6 binary64) y)) z (*.f64 #s(literal 1/2 binary64) y)) z y) z))) (neg.f64 t))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 #s(approx (- (* (exp z) y) y) (*.f64 (fma.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) z #s(literal 1/2 binary64))) z y) z))) (neg.f64 t))) |
(/.f64 (log1p.f64 #s(approx (- (* (exp z) y) y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 z y) (*.f64 #s(literal 1/6 binary64) y)) z (*.f64 #s(literal 1/2 binary64) y)) z y) z))) (neg.f64 t)) |
(/.f64 (log1p.f64 #s(approx (- (* (exp z) y) y) (*.f64 (fma.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) z #s(literal 1/2 binary64))) z y) z))) (neg.f64 t)) |
(log1p.f64 #s(approx (- (* (exp z) y) y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 z y) (*.f64 #s(literal 1/6 binary64) y)) z (*.f64 #s(literal 1/2 binary64) y)) z y) z))) |
(log1p.f64 #s(approx (- (* (exp z) y) y) (*.f64 (fma.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) z #s(literal 1/2 binary64))) z y) z))) |
#s(approx (- (* (exp z) y) y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 z y) (*.f64 #s(literal 1/6 binary64) y)) z (*.f64 #s(literal 1/2 binary64) y)) z y) z)) |
#s(approx (- (* (exp z) y) y) (*.f64 (fma.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) z #s(literal 1/2 binary64))) z y) z)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 z y) (*.f64 #s(literal 1/6 binary64) y)) z (*.f64 #s(literal 1/2 binary64) y)) z y) z) |
(*.f64 (fma.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) z #s(literal 1/2 binary64))) z y) z) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 z y) (*.f64 #s(literal 1/6 binary64) y)) z (*.f64 #s(literal 1/2 binary64) y)) z y) |
(fma.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) z #s(literal 1/2 binary64))) z y) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 z y) (*.f64 #s(literal 1/6 binary64) y)) z (*.f64 #s(literal 1/2 binary64) y)) |
(*.f64 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) z #s(literal 1/2 binary64))) |
(fma.f64 #s(literal 1/24 binary64) (*.f64 z y) (*.f64 #s(literal 1/6 binary64) y)) |
(*.f64 (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) y) |
#s(literal 1/24 binary64) |
(*.f64 z y) |
z |
y |
(*.f64 #s(literal 1/6 binary64) y) |
#s(literal 1/6 binary64) |
(*.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
(neg.f64 t) |
t |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.7302208523803684 | (log1p.f64 #s(approx (- (* (exp z) y) y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 z y) (*.f64 #s(literal 1/6 binary64) y)) z (*.f64 #s(literal 1/2 binary64) y)) z y) z))) | |
| accuracy | 3.133291570798398 | (/.f64 (log1p.f64 #s(approx (- (* (exp z) y) y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 z y) (*.f64 #s(literal 1/6 binary64) y)) z (*.f64 #s(literal 1/2 binary64) y)) z y) z))) (neg.f64 t)) | |
| accuracy | 21.608358365205003 | #s(approx (- (* (exp z) y) y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 z y) (*.f64 #s(literal 1/6 binary64) y)) z (*.f64 #s(literal 1/2 binary64) y)) z y) z)) | |
| accuracy | 43.65003719831451 | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 #s(approx (- (* (exp z) y) y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 z y) (*.f64 #s(literal 1/6 binary64) y)) z (*.f64 #s(literal 1/2 binary64) y)) z y) z))) (neg.f64 t))) | |
| accuracy | 3.133291570798398 | (/.f64 (log1p.f64 #s(approx (- (* (exp z) y) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y))) (neg.f64 t)) | |
| accuracy | 4.469333969944791 | (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y) | |
| accuracy | 21.715913166795573 | #s(approx (- (* (exp z) y) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y)) | |
| accuracy | 43.65003719831451 | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 #s(approx (- (* (exp z) y) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y))) (neg.f64 t))) | |
| accuracy | 3.0943222440404496 | (/.f64 (fma.f64 z (*.f64 (-.f64 y (*.f64 y y)) #s(literal -1/2 binary64)) (neg.f64 y)) t) | |
| accuracy | 3.576603275550004 | (fma.f64 z (*.f64 (-.f64 y (*.f64 y y)) #s(literal -1/2 binary64)) (neg.f64 y)) | |
| accuracy | 28.57709335620084 | #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (/.f64 (fma.f64 z (*.f64 (-.f64 y (*.f64 y y)) #s(literal -1/2 binary64)) (neg.f64 y)) t) z)) | |
| accuracy | 43.65003719831451 | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (/.f64 (fma.f64 z (*.f64 (-.f64 y (*.f64 y y)) #s(literal -1/2 binary64)) (neg.f64 y)) t) z))) | |
| accuracy | 0.0 | (neg.f64 y) | |
| accuracy | 5.416031729458615 | (*.f64 (neg.f64 y) (/.f64 z t)) | |
| accuracy | 27.401901660660922 | #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (neg.f64 y) (/.f64 z t))) | |
| accuracy | 43.65003719831451 | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (neg.f64 y) (/.f64 z t)))) | |
| accuracy | 0.0 | (/.f64 z t) | |
| accuracy | 0.0 | (neg.f64 y) | |
| accuracy | 3.321507088342632 | (fma.f64 (neg.f64 y) (/.f64 z t) x) | |
| accuracy | 17.15870676159835 | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 y) (/.f64 z t) x)) |
| 218.0ms | 187× | 1 | valid |
| 46.0ms | 69× | 0 | valid |
Compiled 348 to 48 computations (86.2% saved)
ival-mult: 35.0ms (18.4% of total)const: 29.0ms (15.3% of total)ival-log1p: 28.0ms (14.7% of total)ival-log: 23.0ms (12.1% of total)ival-exp: 19.0ms (10% of total)adjust: 18.0ms (9.5% of total)ival-sub: 12.0ms (6.3% of total)ival-add: 12.0ms (6.3% of total)ival-div: 11.0ms (5.8% of total)ival-neg: 2.0ms (1.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 y) (/.f64 z t) x)) |
(fma.f64 (neg.f64 y) (/.f64 z t) x) |
(neg.f64 y) |
(/.f64 z t) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (neg.f64 y) (/.f64 z t)))) |
#s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (neg.f64 y) (/.f64 z t))) |
(*.f64 (neg.f64 y) (/.f64 z t)) |
(*.f64 (-.f64 y (*.f64 y y)) #s(literal -1/2 binary64)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (/.f64 (fma.f64 z (*.f64 (-.f64 y (*.f64 y y)) #s(literal -1/2 binary64)) (neg.f64 y)) t) z))) |
#s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (/.f64 (fma.f64 z (*.f64 (-.f64 y (*.f64 y y)) #s(literal -1/2 binary64)) (neg.f64 y)) t) z)) |
(*.f64 (/.f64 (fma.f64 z (*.f64 (-.f64 y (*.f64 y y)) #s(literal -1/2 binary64)) (neg.f64 y)) t) z) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 #s(approx (- (* (exp z) y) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y))) (neg.f64 t))) |
(/.f64 (log1p.f64 #s(approx (- (* (exp z) y) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y))) (neg.f64 t)) |
(log1p.f64 #s(approx (- (* (exp z) y) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y))) |
#s(approx (- (* (exp z) y) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y)) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 z y) (*.f64 #s(literal 1/6 binary64) y)) z (*.f64 #s(literal 1/2 binary64) y)) |
(fma.f64 #s(literal 1/24 binary64) (*.f64 z y) (*.f64 #s(literal 1/6 binary64) y)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 #s(approx (- (* (exp z) y) y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 z y) (*.f64 #s(literal 1/6 binary64) y)) z (*.f64 #s(literal 1/2 binary64) y)) z y) z))) (neg.f64 t))) |
(/.f64 (log1p.f64 #s(approx (- (* (exp z) y) y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 z y) (*.f64 #s(literal 1/6 binary64) y)) z (*.f64 #s(literal 1/2 binary64) y)) z y) z))) (neg.f64 t)) |
(fma.f64 z (*.f64 (-.f64 y (*.f64 y y)) #s(literal -1/2 binary64)) (neg.f64 y)) |
(/.f64 (fma.f64 z (*.f64 (-.f64 y (*.f64 y y)) #s(literal -1/2 binary64)) (neg.f64 y)) t) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y) |
#s(approx (- (* (exp z) y) y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 z y) (*.f64 #s(literal 1/6 binary64) y)) z (*.f64 #s(literal 1/2 binary64) y)) z y) z)) |
(log1p.f64 #s(approx (- (* (exp z) y) y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 z y) (*.f64 #s(literal 1/6 binary64) y)) z (*.f64 #s(literal 1/2 binary64) y)) z y) z))) |
| Outputs |
|---|
(* -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 (* 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) |
(* -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)))))))) |
(* -1/2 y) |
(* y (- (* 1/2 y) 1/2)) |
(/ (* y (* z (- (* -1/2 z) 1))) t) |
(* y (+ (* 1/2 (/ (* y (pow z 2)) t)) (/ (* z (- (* -1/2 z) 1)) t))) |
(* y (- (exp z) 1)) |
(* y (- (+ (exp z) (* -1/2 (* y (pow (- (exp z) 1) 2)))) 1)) |
(* y (- (+ (exp z) (* y (+ (* -1/2 (pow (- (exp z) 1) 2)) (* 1/3 (* y (pow (- (exp z) 1) 3)))))) 1)) |
(* y (- (+ (exp z) (* y (+ (* -1/2 (pow (- (exp z) 1) 2)) (* y (+ (* -1/4 (* y (pow (- (exp z) 1) 4))) (* 1/3 (pow (- (exp z) 1) 3))))))) 1)) |
(* y (+ 1/2 (* z (+ 1/6 (* 1/24 z))))) |
(* y (+ 1/6 (* 1/24 z))) |
(* y (- (* -1/2 z) 1)) |
(* y (- (+ (* -1/2 z) (* 1/2 (* y z))) 1)) |
(/ (* y (- (* -1/2 z) 1)) t) |
(* y (- (+ (* -1/2 (/ z t)) (* 1/2 (/ (* y z) t))) (/ 1 t))) |
(* y (* z (+ 1 (* 1/2 z)))) |
(- x (+ (* -1 (/ (log (/ 1 y)) t)) (/ (log (- (exp z) 1)) t))) |
(- x (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t)))) |
(- (+ x (/ 1/2 (* t (* (pow y 2) (pow (- (exp z) 1) 2))))) (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t)))) |
(- (+ x (* 1/2 (/ 1 (* t (* (pow y 2) (pow (- (exp z) 1) 2)))))) (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (+ (* 1/3 (/ 1 (* t (* (pow y 3) (pow (- (exp z) 1) 3))))) (/ (log (- (exp z) 1)) t))))) |
(* 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))))))) |
(* 1/2 (pow y 2)) |
(* (pow y 2) (- 1/2 (* 1/2 (/ 1 y)))) |
(* 1/2 (/ (* (pow y 2) (pow z 2)) t)) |
(* (pow y 2) (+ (* 1/2 (/ (pow z 2) t)) (/ (* z (- (* -1/2 z) 1)) (* t y)))) |
(+ (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))))) |
(* 1/2 (* (pow y 2) z)) |
(* (pow y 2) (- (+ (* -1/2 (/ z y)) (* 1/2 z)) (/ 1 y))) |
(* 1/2 (/ (* (pow y 2) z) t)) |
(* (pow y 2) (- (+ (* -1/2 (/ z (* t y))) (* 1/2 (/ z t))) (/ 1 (* t 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 (/ (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) t)) |
(+ (* -1 (/ (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) t)) (/ 1 (* t (* y (+ 1 (* -1 (exp z))))))) |
(+ (* -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)))))))) |
(+ (* -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))) |
(* (pow y 2) (+ (* -1 (/ (* z (+ 1 (* 1/2 z))) (* t y))) (* 1/2 (/ (pow z 2) t)))) |
(+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) |
(- (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) (/ 1 (* y (+ 1 (* -1 (exp z)))))) |
(+ (log (+ 1 (* -1 (exp z)))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* 1/2 (/ 1 (* y (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (+ 1 (* -1 (exp z))))) y)))) |
(+ (log (+ 1 (* -1 (exp z)))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (/ 1/3 (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 3))) (+ (/ 1/2 (* y (pow (+ 1 (* -1 (exp z))) 2))) (/ 1 (+ 1 (* -1 (exp z)))))) y)))) |
(* -1 (* y (+ 1 (* -1 (exp z))))) |
(* -1 (* y (- (* z (- (* -1/24 z) 1/6)) 1/2))) |
(* -1 (* y (- (* -1/24 z) 1/6))) |
(* (pow y 2) (+ (* -1 (/ (+ 1 (* 1/2 z)) y)) (* 1/2 z))) |
(* (pow y 2) (+ (* -1 (/ (+ (* 1/2 (/ z t)) (/ 1 t)) y)) (* 1/2 (/ z t)))) |
(+ x (* z (- (* -1/2 (/ (* z (+ y (* -1 (pow y 2)))) t)) (/ y t)))) |
(+ x (* z (- (* z (- (* -1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) t)) (* 1/2 (/ (+ y (* -1 (pow y 2))) t)))) (/ y t)))) |
(/ z 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 (+ (* -1 (/ y t)) (* -1/2 (/ (* z (- y (pow y 2))) 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))))))) |
(* 1/2 y) |
(+ (* 1/6 (* y z)) (* 1/2 y)) |
(+ (* 1/2 y) (* z (+ (* 1/24 (* y z)) (* 1/6 y)))) |
(* 1/6 y) |
(+ (* 1/24 (* y z)) (* 1/6 y)) |
(- (* -1/2 (* z (- y (pow y 2)))) y) |
(* -1 (/ y t)) |
(+ (* -1 (/ y t)) (* -1/2 (/ (* z (- y (pow y 2))) t))) |
(* z (+ (* -1 (/ y t)) (/ x z))) |
(* -1/2 (/ (* (pow z 2) (- y (pow y 2))) t)) |
(* (pow z 2) (+ (* -1 (/ y (* t z))) (* -1/2 (/ (- y (pow y 2)) t)))) |
(log (- (+ 1 (* y (exp z))) y)) |
(- (* y (exp z)) y) |
(* 1/24 (* y (pow z 2))) |
(* (pow z 2) (+ (* 1/24 y) (* 1/6 (/ y z)))) |
(* (pow z 2) (+ (* 1/24 y) (+ (* 1/6 (/ y z)) (* 1/2 (/ y (pow z 2)))))) |
(* 1/24 (* y z)) |
(* z (+ (* 1/24 y) (* 1/6 (/ y z)))) |
(* -1/2 (* z (- y (pow y 2)))) |
(* z (+ (* -1 (/ y z)) (* -1/2 (- y (pow y 2))))) |
(* -1/2 (/ (* z (- y (pow y 2))) t)) |
(* z (+ (* -1 (/ y (* t z))) (* -1/2 (/ (- y (pow y 2)) t)))) |
(* 1/2 (* y (pow z 2))) |
(* (pow z 2) (+ (* 1/2 y) (/ y z))) |
(* -1 (* z (+ (* -1 (/ x z)) (/ y t)))) |
(* (pow z 2) (+ (* -1 (/ (+ (* -1/2 (/ y z)) (* -1/6 y)) z)) (* 1/24 y))) |
(* -1 (* z (+ (* -1/6 (/ y z)) (* -1/24 y)))) |
(* -1 (* z (+ (* 1/2 (- y (pow y 2))) (/ y z)))) |
(* -1 (* z (+ (* 1/2 (/ (- y (pow y 2)) t)) (/ y (* t z))))) |
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) |
(/ (+ (* -1 (* y z)) (* t x)) t) |
(/ (* z (- (* -1/2 (* z (- y (pow y 2)))) y)) t) |
(/ (- (* -1/2 (* z (- y (pow y 2)))) y) t) |
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 26.0ms | z | @ | -inf | ((- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (neg y) (/ z t)) x) (neg y) (/ z t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (* (neg y) (/ z t)) (* (- y (* y y)) -1/2) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (* (/ (+ (* z (* (- y (* y y)) -1/2)) (neg y)) t) z) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (log (+ 1 (- (* (exp z) y) y))) (- (* (exp z) y) y) (+ (* (+ (* 1/24 (* z y)) (* 1/6 y)) z) (* 1/2 y)) (+ (* 1/24 (* z y)) (* 1/6 y)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (+ (* z (* (- y (* y y)) -1/2)) (neg y)) (/ (+ (* z (* (- y (* y y)) -1/2)) (neg y)) t) (* (* (+ (* 1/2 z) 1) z) y) (- (* (exp z) y) y) (log (+ 1 (- (* (exp z) y) y)))) |
| 12.0ms | t | @ | inf | ((- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (neg y) (/ z t)) x) (neg y) (/ z t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (* (neg y) (/ z t)) (* (- y (* y y)) -1/2) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (* (/ (+ (* z (* (- y (* y y)) -1/2)) (neg y)) t) z) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (log (+ 1 (- (* (exp z) y) y))) (- (* (exp z) y) y) (+ (* (+ (* 1/24 (* z y)) (* 1/6 y)) z) (* 1/2 y)) (+ (* 1/24 (* z y)) (* 1/6 y)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (+ (* z (* (- y (* y y)) -1/2)) (neg y)) (/ (+ (* z (* (- y (* y y)) -1/2)) (neg y)) t) (* (* (+ (* 1/2 z) 1) z) y) (- (* (exp z) y) y) (log (+ 1 (- (* (exp z) y) y)))) |
| 12.0ms | t | @ | -inf | ((- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (neg y) (/ z t)) x) (neg y) (/ z t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (* (neg y) (/ z t)) (* (- y (* y y)) -1/2) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (* (/ (+ (* z (* (- y (* y y)) -1/2)) (neg y)) t) z) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (log (+ 1 (- (* (exp z) y) y))) (- (* (exp z) y) y) (+ (* (+ (* 1/24 (* z y)) (* 1/6 y)) z) (* 1/2 y)) (+ (* 1/24 (* z y)) (* 1/6 y)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (+ (* z (* (- y (* y y)) -1/2)) (neg y)) (/ (+ (* z (* (- y (* y y)) -1/2)) (neg y)) t) (* (* (+ (* 1/2 z) 1) z) y) (- (* (exp z) y) y) (log (+ 1 (- (* (exp z) y) y)))) |
| 10.0ms | t | @ | 0 | ((- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (neg y) (/ z t)) x) (neg y) (/ z t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (* (neg y) (/ z t)) (* (- y (* y y)) -1/2) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (* (/ (+ (* z (* (- y (* y y)) -1/2)) (neg y)) t) z) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (log (+ 1 (- (* (exp z) y) y))) (- (* (exp z) y) y) (+ (* (+ (* 1/24 (* z y)) (* 1/6 y)) z) (* 1/2 y)) (+ (* 1/24 (* z y)) (* 1/6 y)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (+ (* z (* (- y (* y y)) -1/2)) (neg y)) (/ (+ (* z (* (- y (* y y)) -1/2)) (neg y)) t) (* (* (+ (* 1/2 z) 1) z) y) (- (* (exp z) y) y) (log (+ 1 (- (* (exp z) y) y)))) |
| 10.0ms | z | @ | inf | ((- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (neg y) (/ z t)) x) (neg y) (/ z t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (* (neg y) (/ z t)) (* (- y (* y y)) -1/2) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (* (/ (+ (* z (* (- y (* y y)) -1/2)) (neg y)) t) z) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (log (+ 1 (- (* (exp z) y) y))) (- (* (exp z) y) y) (+ (* (+ (* 1/24 (* z y)) (* 1/6 y)) z) (* 1/2 y)) (+ (* 1/24 (* z y)) (* 1/6 y)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (+ (* z (* (- y (* y y)) -1/2)) (neg y)) (/ (+ (* z (* (- y (* y y)) -1/2)) (neg y)) t) (* (* (+ (* 1/2 z) 1) z) y) (- (* (exp z) y) y) (log (+ 1 (- (* (exp z) y) y)))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 496 | 2251 |
| 1 | 1674 | 2100 |
| 2 | 6181 | 2043 |
| 0 | 8343 | 1822 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -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 (* 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) |
(* -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)))))))) |
(* -1/2 y) |
(* y (- (* 1/2 y) 1/2)) |
(/ (* y (* z (- (* -1/2 z) 1))) t) |
(* y (+ (* 1/2 (/ (* y (pow z 2)) t)) (/ (* z (- (* -1/2 z) 1)) t))) |
(* y (- (exp z) 1)) |
(* y (- (+ (exp z) (* -1/2 (* y (pow (- (exp z) 1) 2)))) 1)) |
(* y (- (+ (exp z) (* y (+ (* -1/2 (pow (- (exp z) 1) 2)) (* 1/3 (* y (pow (- (exp z) 1) 3)))))) 1)) |
(* y (- (+ (exp z) (* y (+ (* -1/2 (pow (- (exp z) 1) 2)) (* y (+ (* -1/4 (* y (pow (- (exp z) 1) 4))) (* 1/3 (pow (- (exp z) 1) 3))))))) 1)) |
(* y (+ 1/2 (* z (+ 1/6 (* 1/24 z))))) |
(* y (+ 1/6 (* 1/24 z))) |
(* y (- (* -1/2 z) 1)) |
(* y (- (+ (* -1/2 z) (* 1/2 (* y z))) 1)) |
(/ (* y (- (* -1/2 z) 1)) t) |
(* y (- (+ (* -1/2 (/ z t)) (* 1/2 (/ (* y z) t))) (/ 1 t))) |
(* y (* z (+ 1 (* 1/2 z)))) |
(- x (+ (* -1 (/ (log (/ 1 y)) t)) (/ (log (- (exp z) 1)) t))) |
(- x (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t)))) |
(- (+ x (/ 1/2 (* t (* (pow y 2) (pow (- (exp z) 1) 2))))) (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t)))) |
(- (+ x (* 1/2 (/ 1 (* t (* (pow y 2) (pow (- (exp z) 1) 2)))))) (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (+ (* 1/3 (/ 1 (* t (* (pow y 3) (pow (- (exp z) 1) 3))))) (/ (log (- (exp z) 1)) t))))) |
(* 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))))))) |
(* 1/2 (pow y 2)) |
(* (pow y 2) (- 1/2 (* 1/2 (/ 1 y)))) |
(* 1/2 (/ (* (pow y 2) (pow z 2)) t)) |
(* (pow y 2) (+ (* 1/2 (/ (pow z 2) t)) (/ (* z (- (* -1/2 z) 1)) (* t y)))) |
(+ (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))))) |
(* 1/2 (* (pow y 2) z)) |
(* (pow y 2) (- (+ (* -1/2 (/ z y)) (* 1/2 z)) (/ 1 y))) |
(* 1/2 (/ (* (pow y 2) z) t)) |
(* (pow y 2) (- (+ (* -1/2 (/ z (* t y))) (* 1/2 (/ z t))) (/ 1 (* t 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 (/ (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) t)) |
(+ (* -1 (/ (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) t)) (/ 1 (* t (* y (+ 1 (* -1 (exp z))))))) |
(+ (* -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)))))))) |
(+ (* -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))) |
(* (pow y 2) (+ (* -1 (/ (* z (+ 1 (* 1/2 z))) (* t y))) (* 1/2 (/ (pow z 2) t)))) |
(+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) |
(- (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) (/ 1 (* y (+ 1 (* -1 (exp z)))))) |
(+ (log (+ 1 (* -1 (exp z)))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* 1/2 (/ 1 (* y (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (+ 1 (* -1 (exp z))))) y)))) |
(+ (log (+ 1 (* -1 (exp z)))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (/ 1/3 (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 3))) (+ (/ 1/2 (* y (pow (+ 1 (* -1 (exp z))) 2))) (/ 1 (+ 1 (* -1 (exp z)))))) y)))) |
(* -1 (* y (+ 1 (* -1 (exp z))))) |
(* -1 (* y (- (* z (- (* -1/24 z) 1/6)) 1/2))) |
(* -1 (* y (- (* -1/24 z) 1/6))) |
(* (pow y 2) (+ (* -1 (/ (+ 1 (* 1/2 z)) y)) (* 1/2 z))) |
(* (pow y 2) (+ (* -1 (/ (+ (* 1/2 (/ z t)) (/ 1 t)) y)) (* 1/2 (/ z t)))) |
(+ x (* z (- (* -1/2 (/ (* z (+ y (* -1 (pow y 2)))) t)) (/ y t)))) |
(+ x (* z (- (* z (- (* -1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) t)) (* 1/2 (/ (+ y (* -1 (pow y 2))) t)))) (/ y t)))) |
(/ z 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 (+ (* -1 (/ y t)) (* -1/2 (/ (* z (- y (pow y 2))) 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))))))) |
(* 1/2 y) |
(+ (* 1/6 (* y z)) (* 1/2 y)) |
(+ (* 1/2 y) (* z (+ (* 1/24 (* y z)) (* 1/6 y)))) |
(* 1/6 y) |
(+ (* 1/24 (* y z)) (* 1/6 y)) |
(- (* -1/2 (* z (- y (pow y 2)))) y) |
(* -1 (/ y t)) |
(+ (* -1 (/ y t)) (* -1/2 (/ (* z (- y (pow y 2))) t))) |
(* z (+ (* -1 (/ y t)) (/ x z))) |
(* -1/2 (/ (* (pow z 2) (- y (pow y 2))) t)) |
(* (pow z 2) (+ (* -1 (/ y (* t z))) (* -1/2 (/ (- y (pow y 2)) t)))) |
(log (- (+ 1 (* y (exp z))) y)) |
(- (* y (exp z)) y) |
(* 1/24 (* y (pow z 2))) |
(* (pow z 2) (+ (* 1/24 y) (* 1/6 (/ y z)))) |
(* (pow z 2) (+ (* 1/24 y) (+ (* 1/6 (/ y z)) (* 1/2 (/ y (pow z 2)))))) |
(* 1/24 (* y z)) |
(* z (+ (* 1/24 y) (* 1/6 (/ y z)))) |
(* -1/2 (* z (- y (pow y 2)))) |
(* z (+ (* -1 (/ y z)) (* -1/2 (- y (pow y 2))))) |
(* -1/2 (/ (* z (- y (pow y 2))) t)) |
(* z (+ (* -1 (/ y (* t z))) (* -1/2 (/ (- y (pow y 2)) t)))) |
(* 1/2 (* y (pow z 2))) |
(* (pow z 2) (+ (* 1/2 y) (/ y z))) |
(* -1 (* z (+ (* -1 (/ x z)) (/ y t)))) |
(* (pow z 2) (+ (* -1 (/ (+ (* -1/2 (/ y z)) (* -1/6 y)) z)) (* 1/24 y))) |
(* -1 (* z (+ (* -1/6 (/ y z)) (* -1/24 y)))) |
(* -1 (* z (+ (* 1/2 (- y (pow y 2))) (/ y z)))) |
(* -1 (* z (+ (* 1/2 (/ (- y (pow y 2)) t)) (/ y (* t z))))) |
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) |
(/ (+ (* -1 (* y z)) (* t x)) t) |
(/ (* z (- (* -1/2 (* z (- y (pow y 2)))) y)) t) |
(/ (- (* -1/2 (* z (- y (pow y 2)))) y) t) |
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) |
| Outputs |
|---|
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (neg.f64 t)) |
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(-.f64 x (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) t)) |
(* -1 (/ (* y z) t)) |
(*.f64 (neg.f64 y) (/.f64 z t)) |
(+ x (* -1 (/ (* y z) t))) |
(-.f64 x (/.f64 (*.f64 z y) t)) |
x |
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x))))) |
(fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (*.f64 t x)) x) |
(* x (+ 1 (* -1 (/ (* y z) (* t x))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 z y) t) x)) x) |
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (*.f64 t x)) #s(literal 1 binary64))) |
(* -1 (* x (- (/ (* y z) (* t x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (/.f64 (*.f64 z y) t) x) #s(literal 1 binary64))) |
(+ 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 (-.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) #s(literal 1/2 binary64)) y #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 (-.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) #s(literal -1/3 binary64)) y) y (fma.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) #s(literal 1/2 binary64)) y #s(literal 1 binary64))) t) (/.f64 (exp.f64 z) t)) y x) |
(* -1 y) |
(neg.f64 y) |
(* -1 (/ (* y (- (exp z) 1)) t)) |
(*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t)) |
(* y (+ (* -1 (/ (- (exp z) 1) t)) (* 1/2 (/ (* y (pow (- (exp z) 1) 2)) t)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) #s(literal 1/2 binary64)) y (neg.f64 (expm1.f64 z))) 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 (/.f64 (fma.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) #s(literal 1/2 binary64) (*.f64 y (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) #s(literal -1/3 binary64)))) 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 (/.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))) t) y (*.f64 (/.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) t) #s(literal 1/2 binary64))) y (/.f64 (expm1.f64 z) (neg.f64 t))) y) |
(* -1/2 y) |
(*.f64 #s(literal -1/2 binary64) y) |
(* y (- (* 1/2 y) 1/2)) |
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) y) |
(/ (* y (* z (- (* -1/2 z) 1))) t) |
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) z) #s(literal 1 binary64)) z) t) y) |
(* y (+ (* 1/2 (/ (* y (pow z 2)) t)) (/ (* z (- (* -1/2 z) 1)) t))) |
(*.f64 (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) z) #s(literal 1 binary64)) z (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) z) z) y)) t) y) |
(* y (- (exp z) 1)) |
(*.f64 (expm1.f64 z) y) |
(* y (- (+ (exp z) (* -1/2 (* y (pow (- (exp z) 1) 2)))) 1)) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) y) (expm1.f64 z)) y) |
(* y (- (+ (exp z) (* y (+ (* -1/2 (pow (- (exp z) 1) 2)) (* 1/3 (* y (pow (- (exp z) 1) 3)))))) 1)) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) y) (*.f64 #s(literal -1/2 binary64) (pow.f64 (expm1.f64 z) #s(literal 2 binary64)))) y (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 #s(literal -1/4 binary64) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 4 binary64)) y) (*.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 (+ 1/2 (* z (+ 1/6 (* 1/24 z))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) z #s(literal 1/2 binary64)) y) |
(* y (+ 1/6 (* 1/24 z))) |
(*.f64 (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) y) |
(* y (- (* -1/2 z) 1)) |
(*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) z) #s(literal 1 binary64)) y) |
(* y (- (+ (* -1/2 z) (* 1/2 (* y z))) 1)) |
(*.f64 (-.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) y #s(literal -1/2 binary64))) #s(literal 1 binary64)) y) |
(/ (* y (- (* -1/2 z) 1)) t) |
(*.f64 (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) z) #s(literal 1 binary64)) t) y) |
(* y (- (+ (* -1/2 (/ z t)) (* 1/2 (/ (* y z) t))) (/ 1 t))) |
(*.f64 (/.f64 (-.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) y #s(literal -1/2 binary64))) #s(literal 1 binary64)) t) y) |
(* y (* z (+ 1 (* 1/2 z)))) |
(*.f64 (*.f64 y (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64))) 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 x (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 z) y)) (+.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 (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 z) y)) (+.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 (*.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)) (log.f64 y)) t)) (/.f64 (+.f64 (log.f64 (expm1.f64 z)) (/.f64 #s(literal 1/3 binary64) (pow.f64 (*.f64 (expm1.f64 z) y) #s(literal 3 binary64)))) t)) |
(* y (+ (* -1 (/ z t)) (/ x y))) |
(*.f64 (fma.f64 (/.f64 z t) #s(literal -1 binary64) (/.f64 x y)) 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 (log.f64 y) (log.f64 (expm1.f64 z))) (neg.f64 t)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (expm1.f64 z) y) 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 (fma.f64 (+.f64 (log.f64 y) (log.f64 (expm1.f64 z))) #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) (*.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))) |
(- (+ (* -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 (fma.f64 (+.f64 (log.f64 y) (log.f64 (expm1.f64 z))) #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) y)) y)) t) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 z) y)) (/.f64 #s(literal -1/3 binary64) (pow.f64 (*.f64 (expm1.f64 z) y) #s(literal 3 binary64)))) t)) |
(* 1/2 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 1/2 binary64)) |
(* (pow y 2) (- 1/2 (* 1/2 (/ 1 y)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) y) y) |
(* 1/2 (/ (* (pow y 2) (pow z 2)) t)) |
(*.f64 (*.f64 y (/.f64 (*.f64 (*.f64 z z) y) t)) #s(literal 1/2 binary64)) |
(* (pow y 2) (+ (* 1/2 (/ (pow z 2) t)) (/ (* z (- (* -1/2 z) 1)) (* t y)))) |
(*.f64 (/.f64 (fma.f64 z (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) z) #s(literal 1 binary64)) y) (*.f64 (*.f64 #s(literal 1/2 binary64) z) z)) t) (*.f64 y 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))))) |
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(- (+ (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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(- (+ (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))))) |
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(* 1/2 (* (pow y 2) z)) |
(*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/2 binary64)) |
(* (pow y 2) (- (+ (* -1/2 (/ z y)) (* 1/2 z)) (/ 1 y))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) z (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) z) #s(literal 1 binary64)) y)) (*.f64 y y)) |
(* 1/2 (/ (* (pow y 2) z) t)) |
(*.f64 (*.f64 y (/.f64 (*.f64 z y) t)) #s(literal 1/2 binary64)) |
(* (pow y 2) (- (+ (* -1/2 (/ z (* t y))) (* 1/2 (/ z t))) (/ 1 (* t y)))) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) z) #s(literal 1 binary64)) y)) t) (*.f64 y 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 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 z)) y) t)) 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 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 z))) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) y))) y) t) 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 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (expm1.f64 z) #s(literal 2 binary64))) (/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 z)) #s(literal 3 binary64)) y))) t) (neg.f64 y)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 z)) t))) y)) (/.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 z))) (log.f64 (/.f64 #s(literal -1 binary64) y))) t)) |
(* -1 (* y (+ (* -1 (/ x y)) (/ z t)))) |
(*.f64 (fma.f64 (/.f64 z t) #s(literal -1 binary64) (/.f64 x y)) y) |
(* -1 (/ (+ (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))) (neg.f64 t)) |
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(/.f64 (fma.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 z))) (log.f64 (/.f64 #s(literal -1 binary64) y))) #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 z))) y)) t) |
(+ (* -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)))))))) |
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(+ (* -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))) |
(-.f64 (/.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 z))) (log.f64 (/.f64 #s(literal -1 binary64) y))) (neg.f64 t)) (/.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (expm1.f64 z) #s(literal 2 binary64))) (/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 z)) #s(literal 3 binary64)) y))) t) (neg.f64 y)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 z)) t))) y)) |
(* (pow y 2) (+ (* -1 (/ (* z (+ 1 (* 1/2 z))) (* t y))) (* 1/2 (/ (pow z 2) t)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) z (/.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64))) z) y)) t) (*.f64 y y)) |
(+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) |
(-.f64 (log1p.f64 (neg.f64 (exp.f64 z))) (log.f64 (/.f64 #s(literal -1 binary64) y))) |
(- (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) (/ 1 (* y (+ 1 (* -1 (exp z)))))) |
(-.f64 (log1p.f64 (neg.f64 (exp.f64 z))) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.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)))) |
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(+ (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)))) |
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(* -1 (* y (+ 1 (* -1 (exp z))))) |
(*.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) (exp.f64 z))) |
(* -1 (* y (- (* z (- (* -1/24 z) 1/6)) 1/2))) |
(*.f64 (neg.f64 y) (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/24 binary64) z) #s(literal 1/6 binary64)) z) #s(literal 1/2 binary64))) |
(* -1 (* y (- (* -1/24 z) 1/6))) |
(*.f64 (neg.f64 y) (-.f64 (*.f64 #s(literal -1/24 binary64) z) #s(literal 1/6 binary64))) |
(* (pow y 2) (+ (* -1 (/ (+ 1 (* 1/2 z)) y)) (* 1/2 z))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) (neg.f64 y))) y) y) |
(* (pow y 2) (+ (* -1 (/ (+ (* 1/2 (/ z t)) (/ 1 t)) y)) (* 1/2 (/ z t)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 z t) #s(literal 1/2 binary64) (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) (neg.f64 y))) y) y) |
(+ x (* z (- (* -1/2 (/ (* z (+ y (* -1 (pow y 2)))) t)) (/ y t)))) |
(fma.f64 (fma.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal -1/2 binary64)) z (neg.f64 y)) (/.f64 z t) 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 (/.f64 (fma.f64 (-.f64 y (*.f64 y y)) #s(literal -1/2 binary64) (*.f64 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)))) t) z) (/.f64 y t)) z x) |
(/ z t) |
(/.f64 z t) |
(* z (+ (* -1 (/ y t)) (* -1/2 (/ (* z (+ y (* -1 (pow y 2)))) t)))) |
(*.f64 (fma.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal -1/2 binary64)) z (neg.f64 y)) (/.f64 z 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)))))) |
(*.f64 (fma.f64 (/.f64 (fma.f64 (-.f64 y (*.f64 y y)) #s(literal -1/2 binary64) (*.f64 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)))) t) z (/.f64 (neg.f64 y) t)) z) |
(* z (+ (* -1 (/ y t)) (* z (+ (* -1/2 (/ (+ y (* -1 (pow y 2))) t)) (* z (+ (* -1/6 (/ (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))) t)) (* -1/24 (/ (* z (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3))))))) t)))))))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal -1/2 binary64) (*.f64 (/.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))) t) z)) z (/.f64 (neg.f64 y) t)) z) |
(* z (+ (* -1 (/ y t)) (* -1/2 (/ (* z (- y (pow y 2))) t)))) |
(*.f64 (fma.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal -1/2 binary64)) z (neg.f64 y)) (/.f64 z t)) |
(* y z) |
(*.f64 z y) |
(* z (+ y (* 1/2 (* z (+ y (* -1 (pow y 2))))))) |
(*.f64 (fma.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) z y) z) |
(* z (+ y (* z (+ (* 1/6 (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))) (* 1/2 (+ y (* -1 (pow y 2)))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) (fma.f64 (*.f64 #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 (*.f64 y (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64))) z) |
(* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal 1/2 binary64) y)) z y) z) |
(* z (+ y (* z (+ (* 1/2 y) (* z (+ (* 1/24 (* y z)) (* 1/6 y))))))) |
(*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) z #s(literal 1/2 binary64)) y) z y) z) |
(* 1/2 y) |
(*.f64 #s(literal 1/2 binary64) y) |
(+ (* 1/6 (* y z)) (* 1/2 y)) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal 1/2 binary64) y)) |
(+ (* 1/2 y) (* z (+ (* 1/24 (* y z)) (* 1/6 y)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) z #s(literal 1/2 binary64)) y) |
(* 1/6 y) |
(*.f64 #s(literal 1/6 binary64) y) |
(+ (* 1/24 (* y z)) (* 1/6 y)) |
(*.f64 (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) y) |
(- (* -1/2 (* z (- y (pow y 2)))) y) |
(fma.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal -1/2 binary64)) z (neg.f64 y)) |
(* -1 (/ y t)) |
(/.f64 (neg.f64 y) t) |
(+ (* -1 (/ y t)) (* -1/2 (/ (* z (- y (pow y 2))) t))) |
(/.f64 (fma.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal -1/2 binary64)) z (neg.f64 y)) t) |
(* z (+ (* -1 (/ y t)) (/ x z))) |
(*.f64 (fma.f64 (/.f64 y t) #s(literal -1 binary64) (/.f64 x z)) z) |
(* -1/2 (/ (* (pow z 2) (- y (pow y 2))) t)) |
(*.f64 (*.f64 (*.f64 z z) #s(literal -1/2 binary64)) (/.f64 (-.f64 y (*.f64 y y)) t)) |
(* (pow z 2) (+ (* -1 (/ y (* t z))) (* -1/2 (/ (- y (pow y 2)) t)))) |
(*.f64 (*.f64 (/.f64 (fma.f64 (-.f64 y (*.f64 y y)) #s(literal -1/2 binary64) (/.f64 (neg.f64 y) z)) t) z) z) |
(log (- (+ 1 (* y (exp z))) y)) |
(log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) |
(- (* y (exp z)) y) |
(-.f64 (*.f64 (exp.f64 z) y) y) |
(* 1/24 (* y (pow z 2))) |
(*.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) z) y) z) |
(* (pow z 2) (+ (* 1/24 y) (* 1/6 (/ y z)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 y z) #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) y)) z) z) |
(* (pow z 2) (+ (* 1/24 y) (+ (* 1/6 (/ y z)) (* 1/2 (/ y (pow z 2)))))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) y (/.f64 (fma.f64 #s(literal 1/6 binary64) y (/.f64 (*.f64 #s(literal 1/2 binary64) y) z)) z)) z) z) |
(* 1/24 (* y z)) |
(*.f64 (*.f64 #s(literal 1/24 binary64) z) y) |
(* z (+ (* 1/24 y) (* 1/6 (/ y z)))) |
(*.f64 (fma.f64 (/.f64 y z) #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) y)) z) |
(* -1/2 (* z (- y (pow y 2)))) |
(*.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal -1/2 binary64)) z) |
(* z (+ (* -1 (/ y z)) (* -1/2 (- y (pow y 2))))) |
(*.f64 (fma.f64 (-.f64 y (*.f64 y y)) #s(literal -1/2 binary64) (/.f64 (neg.f64 y) z)) z) |
(* -1/2 (/ (* z (- y (pow y 2))) t)) |
(*.f64 (/.f64 (-.f64 y (*.f64 y y)) t) (*.f64 #s(literal -1/2 binary64) z)) |
(* z (+ (* -1 (/ y (* t z))) (* -1/2 (/ (- y (pow y 2)) t)))) |
(*.f64 (/.f64 (fma.f64 (-.f64 y (*.f64 y y)) #s(literal -1/2 binary64) (/.f64 (neg.f64 y) z)) t) z) |
(* 1/2 (* y (pow z 2))) |
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) z) z) y) |
(* (pow z 2) (+ (* 1/2 y) (/ y z))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 y z)) z) z) |
(* -1 (* z (+ (* -1 (/ x z)) (/ y t)))) |
(*.f64 (fma.f64 (/.f64 y t) #s(literal -1 binary64) (/.f64 x z)) z) |
(* (pow z 2) (+ (* -1 (/ (+ (* -1/2 (/ y z)) (* -1/6 y)) z)) (* 1/24 y))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) y (/.f64 (fma.f64 (/.f64 y z) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) y)) (neg.f64 z))) z) z) |
(* -1 (* z (+ (* -1/6 (/ y z)) (* -1/24 y)))) |
(*.f64 (neg.f64 z) (fma.f64 (/.f64 y z) #s(literal -1/6 binary64) (*.f64 #s(literal -1/24 binary64) y))) |
(* -1 (* z (+ (* 1/2 (- y (pow y 2))) (/ y z)))) |
(*.f64 (neg.f64 z) (fma.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64) (/.f64 y z))) |
(* -1 (* z (+ (* 1/2 (/ (- y (pow y 2)) t)) (/ y (* t z))))) |
(*.f64 (neg.f64 z) (/.f64 (fma.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64) (/.f64 y z)) t)) |
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) |
(/.f64 (-.f64 (*.f64 t x) (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y))) t) |
(/ (+ (* -1 (* y z)) (* t x)) t) |
(/.f64 (fma.f64 (neg.f64 y) z (*.f64 t x)) t) |
(/ (* z (- (* -1/2 (* z (- y (pow y 2)))) y)) t) |
(*.f64 (fma.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal -1/2 binary64)) z (neg.f64 y)) (/.f64 z t)) |
(/ (- (* -1/2 (* z (- y (pow y 2)))) y) t) |
(/.f64 (fma.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal -1/2 binary64)) z (neg.f64 y)) t) |
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) |
(-.f64 x (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) t)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 56 | 442 |
| 0 | 88 | 442 |
| 1 | 329 | 436 |
| 2 | 2427 | 436 |
| 0 | 8366 | 412 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 y) (/.f64 z t) x)) |
(fma.f64 (neg.f64 y) (/.f64 z t) x) |
(neg.f64 y) |
(/.f64 z t) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (neg.f64 y) (/.f64 z t)))) |
#s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (neg.f64 y) (/.f64 z t))) |
(*.f64 (neg.f64 y) (/.f64 z t)) |
(*.f64 (-.f64 y (*.f64 y y)) #s(literal -1/2 binary64)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (/.f64 (fma.f64 z (*.f64 (-.f64 y (*.f64 y y)) #s(literal -1/2 binary64)) (neg.f64 y)) t) z))) |
#s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (/.f64 (fma.f64 z (*.f64 (-.f64 y (*.f64 y y)) #s(literal -1/2 binary64)) (neg.f64 y)) t) z)) |
(*.f64 (/.f64 (fma.f64 z (*.f64 (-.f64 y (*.f64 y y)) #s(literal -1/2 binary64)) (neg.f64 y)) t) z) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 #s(approx (- (* (exp z) y) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y))) (neg.f64 t))) |
(/.f64 (log1p.f64 #s(approx (- (* (exp z) y) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y))) (neg.f64 t)) |
(log1p.f64 #s(approx (- (* (exp z) y) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y))) |
#s(approx (- (* (exp z) y) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y)) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 z y) (*.f64 #s(literal 1/6 binary64) y)) z (*.f64 #s(literal 1/2 binary64) y)) |
(fma.f64 #s(literal 1/24 binary64) (*.f64 z y) (*.f64 #s(literal 1/6 binary64) y)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 #s(approx (- (* (exp z) y) y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 z y) (*.f64 #s(literal 1/6 binary64) y)) z (*.f64 #s(literal 1/2 binary64) y)) z y) z))) (neg.f64 t))) |
(/.f64 (log1p.f64 #s(approx (- (* (exp z) y) y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 z y) (*.f64 #s(literal 1/6 binary64) y)) z (*.f64 #s(literal 1/2 binary64) y)) z y) z))) (neg.f64 t)) |
(fma.f64 z (*.f64 (-.f64 y (*.f64 y y)) #s(literal -1/2 binary64)) (neg.f64 y)) |
(/.f64 (fma.f64 z (*.f64 (-.f64 y (*.f64 y y)) #s(literal -1/2 binary64)) (neg.f64 y)) t) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y) |
#s(approx (- (* (exp z) y) y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 z y) (*.f64 #s(literal 1/6 binary64) y)) z (*.f64 #s(literal 1/2 binary64) y)) z y) z)) |
(log1p.f64 #s(approx (- (* (exp z) y) y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 z y) (*.f64 #s(literal 1/6 binary64) y)) z (*.f64 #s(literal 1/2 binary64) y)) z y) z))) |
| Outputs |
|---|
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (/.f64 z t) (neg.f64 y) x)) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (/.f64 z t) y) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 (/.f64 z t) (neg.f64 y))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 z t) y) #s(literal 2 binary64)) (*.f64 x x)))) (neg.f64 (neg.f64 (-.f64 (*.f64 (/.f64 z t) (neg.f64 y)) x)))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 z t) y) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x (*.f64 (/.f64 z t) (neg.f64 y))) (pow.f64 (*.f64 (/.f64 z t) y) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (/.f64 z t) y) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 z t) (neg.f64 y)) x)) (*.f64 (-.f64 (*.f64 (/.f64 z t) (neg.f64 y)) x) (*.f64 x x))) (*.f64 (-.f64 (*.f64 (/.f64 z t) (neg.f64 y)) x) (-.f64 (*.f64 (/.f64 z t) (neg.f64 y)) x))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 z t) y) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (/.f64 z t) (neg.f64 y))) (pow.f64 (*.f64 (/.f64 z t) y) #s(literal 2 binary64))) (*.f64 (fma.f64 x (-.f64 x (*.f64 (/.f64 z t) (neg.f64 y))) (pow.f64 (*.f64 (/.f64 z t) y) #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (fma.f64 x (-.f64 x (*.f64 (/.f64 z t) (neg.f64 y))) (pow.f64 (*.f64 (/.f64 z t) y) #s(literal 2 binary64))) (fma.f64 x (-.f64 x (*.f64 (/.f64 z t) (neg.f64 y))) (pow.f64 (*.f64 (/.f64 z t) y) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (/.f64 z t) y) #s(literal 2 binary64))) (-.f64 x (*.f64 (/.f64 z t) (neg.f64 y)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 z t) y) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 (/.f64 z t) (neg.f64 y)) x))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 z t) y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 (*.f64 (/.f64 z t) y) #s(literal 2 binary64)) (*.f64 (/.f64 z t) (*.f64 (neg.f64 y) x)))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 z t) y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 (/.f64 z t) (neg.f64 y))) (pow.f64 (*.f64 (/.f64 z t) y) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 z t) y) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (*.f64 (/.f64 z t) (neg.f64 y)) x)) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 z t) y) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (*.f64 (/.f64 z t) y) #s(literal 2 binary64)) (*.f64 (/.f64 z t) (*.f64 (neg.f64 y) x))))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 z t) y) #s(literal 3 binary64))) (fma.f64 x (-.f64 x (*.f64 (/.f64 z t) (neg.f64 y))) (pow.f64 (*.f64 (/.f64 z t) y) #s(literal 2 binary64)))) |
(fma.f64 (/.f64 z t) (neg.f64 y) x) |
(fma.f64 (neg.f64 y) (/.f64 z t) x) |
(fma.f64 y (neg.f64 (/.f64 z t)) x) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (/.f64 z t) (neg.f64 y)))) (/.f64 (pow.f64 (*.f64 (/.f64 z t) y) #s(literal 2 binary64)) (-.f64 x (*.f64 (/.f64 z t) (neg.f64 y))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 z t) y) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 z t) (neg.f64 y)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (/.f64 z t) (neg.f64 y)) x))) |
(-.f64 x (*.f64 (neg.f64 (/.f64 z t)) (neg.f64 y))) |
(-.f64 x (*.f64 (neg.f64 (neg.f64 y)) (/.f64 z t))) |
(-.f64 x (*.f64 (/.f64 z t) y)) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 (pow.f64 (*.f64 (/.f64 z t) y) #s(literal 2 binary64)) (*.f64 (/.f64 z t) (*.f64 (neg.f64 y) x))))) (/.f64 (pow.f64 (*.f64 (/.f64 z t) y) #s(literal 3 binary64)) (fma.f64 x x (-.f64 (pow.f64 (*.f64 (/.f64 z t) y) #s(literal 2 binary64)) (*.f64 (/.f64 z t) (*.f64 (neg.f64 y) x)))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 z t) y) #s(literal 3 binary64)) (fma.f64 x x (-.f64 (pow.f64 (*.f64 (/.f64 z t) y) #s(literal 2 binary64)) (*.f64 (/.f64 z t) (*.f64 (neg.f64 y) x))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 (pow.f64 (*.f64 (/.f64 z t) y) #s(literal 2 binary64)) (*.f64 (/.f64 z t) (*.f64 (neg.f64 y) x)))))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (/.f64 z t) (neg.f64 y))) (pow.f64 (*.f64 (/.f64 z t) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (/.f64 z t) y) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (/.f64 z t) (neg.f64 y))) (pow.f64 (*.f64 (/.f64 z t) y) #s(literal 2 binary64))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 z t) y) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (/.f64 z t) (neg.f64 y))) (pow.f64 (*.f64 (/.f64 z t) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (/.f64 z t) (neg.f64 y))) (pow.f64 (*.f64 (/.f64 z t) y) #s(literal 2 binary64))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 z t) y) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 z t) (neg.f64 y)) x)) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 (*.f64 (/.f64 z t) (neg.f64 y)) x))) |
(+.f64 (*.f64 (/.f64 z t) (neg.f64 y)) x) |
(+.f64 x (*.f64 (/.f64 z t) (neg.f64 y))) |
(neg.f64 y) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 z))) (neg.f64 t)) |
(/.f64 (neg.f64 (neg.f64 z)) t) |
(/.f64 (neg.f64 z) (neg.f64 t)) |
(/.f64 z t) |
(neg.f64 (/.f64 (neg.f64 z) t)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (/.f64 z t) (neg.f64 y)))) |
#s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (/.f64 z t) (neg.f64 y))) |
(*.f64 (/.f64 z t) (neg.f64 y)) |
(*.f64 (neg.f64 y) (/.f64 z t)) |
(*.f64 y (neg.f64 (/.f64 z t))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 z) (neg.f64 y))) t) |
(/.f64 (neg.f64 (*.f64 (neg.f64 y) (neg.f64 z))) t) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 y) z))) t) |
(/.f64 (*.f64 (neg.f64 z) (neg.f64 y)) (neg.f64 t)) |
(/.f64 (*.f64 (neg.f64 y) (neg.f64 z)) (neg.f64 t)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 y) z)) (neg.f64 t)) |
(/.f64 (*.f64 (neg.f64 y) z) t) |
(/.f64 (*.f64 z y) (neg.f64 t)) |
(neg.f64 (*.f64 (/.f64 z t) y)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (+.f64 y #s(literal 1 binary64))) (/.f64 (-.f64 (*.f64 y y) (pow.f64 y #s(literal 4 binary64))) y)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (-.f64 (*.f64 y y) (pow.f64 y #s(literal 4 binary64))) (+.f64 y #s(literal 1 binary64)))) |
(*.f64 (/.f64 (-.f64 (*.f64 y y) (pow.f64 y #s(literal 4 binary64))) y) (/.f64 #s(literal -1/2 binary64) (+.f64 y #s(literal 1 binary64)))) |
(*.f64 (/.f64 (-.f64 (*.f64 y y) (pow.f64 y #s(literal 4 binary64))) (+.f64 y #s(literal 1 binary64))) (/.f64 #s(literal -1/2 binary64) y)) |
(*.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 y) y y)) |
(*.f64 (fma.f64 (neg.f64 y) y y) #s(literal -1/2 binary64)) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 y y) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/2 binary64))) (neg.f64 (fma.f64 y y y))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal -1/2 binary64))) (neg.f64 (fma.f64 y y (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64)))))) |
(/.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 y y) (pow.f64 y #s(literal 4 binary64))))) (neg.f64 (fma.f64 y y y))) |
(/.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))))) (neg.f64 (fma.f64 y y (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64)))))) |
(/.f64 (*.f64 (-.f64 (*.f64 y y) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/2 binary64)) (fma.f64 y y y)) |
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal -1/2 binary64)) (fma.f64 y y (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))))) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 y y) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 y y y)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 y y (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))))) |
(fma.f64 #s(literal -1/2 binary64) y (*.f64 (*.f64 (neg.f64 y) y) #s(literal -1/2 binary64))) |
(fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 y) y))) |
(fma.f64 y #s(literal -1/2 binary64) (*.f64 (*.f64 (neg.f64 y) y) #s(literal -1/2 binary64))) |
(fma.f64 y #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 y) y))) |
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 (*.f64 (neg.f64 y) y) #s(literal -1/2 binary64))) |
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 y) y))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 y) y y)) z (neg.f64 y)) t) z))) |
#s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 y) y y)) z (neg.f64 y)) t) z)) |
(*.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 y) y y)) z (neg.f64 y)) t) z) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 y) y y)) z (neg.f64 y)) (/.f64 z t)) |
(*.f64 z (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 y) y y)) z (neg.f64 y)) t)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 y) y y)) z (neg.f64 y))) z)) t) |
(/.f64 (neg.f64 (*.f64 z (neg.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 y) y y)) z (neg.f64 y))))) t) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 y) y y)) z (neg.f64 y)) z))) t) |
(/.f64 (*.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 y) y y)) z (neg.f64 y))) z) (neg.f64 t)) |
(/.f64 (*.f64 z (neg.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 y) y y)) z (neg.f64 y)))) (neg.f64 t)) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 y) y y)) z (neg.f64 y)) z)) (neg.f64 t)) |
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 y) y y)) z (neg.f64 y)) z) t) |
(fma.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 y) y y)) z) t) z (*.f64 (/.f64 (neg.f64 y) t) z)) |
(fma.f64 z (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 y) y y)) z) t) (*.f64 z (/.f64 (neg.f64 y) t))) |
(+.f64 (*.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 y) y y)) z) t) z) (*.f64 (/.f64 (neg.f64 y) t) z)) |
(+.f64 (*.f64 z (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 y) y y)) z) t)) (*.f64 z (/.f64 (neg.f64 y) t))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 #s(approx (- (* (exp z) y) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y))) (neg.f64 t))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (log1p.f64 #s(approx (- (* (exp z) y) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y)))))) t) |
(/.f64 (neg.f64 (neg.f64 (log1p.f64 #s(approx (- (* (exp z) y) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y))))) (neg.f64 t)) |
(/.f64 (neg.f64 (log1p.f64 #s(approx (- (* (exp z) y) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y)))) t) |
(/.f64 (log1p.f64 #s(approx (- (* (exp z) y) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y))) (neg.f64 t)) |
(neg.f64 (/.f64 (log1p.f64 #s(approx (- (* (exp z) y) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y))) t)) |
(-.f64 (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (- (* (exp z) y) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y)) #s(literal 2 binary64)))) (neg.f64 t)) (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) #s(approx (- (* (exp z) y) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y)))) (neg.f64 t))) |
(-.f64 (/.f64 (log1p.f64 (pow.f64 #s(approx (- (* (exp z) y) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y)) #s(literal 3 binary64))) (neg.f64 t)) (/.f64 (log1p.f64 (-.f64 (pow.f64 #s(approx (- (* (exp z) y) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y)) #s(literal 2 binary64)) #s(approx (- (* (exp z) y) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y)))) (neg.f64 t))) |
(log1p.f64 #s(approx (- (* (exp z) y) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y))) |
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(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (- (* (exp z) y) y) (*.f64 (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64))) z (*.f64 #s(literal 1/2 binary64) y)) z y) z)) #s(literal 2 binary64)))) (log.f64 (-.f64 #s(literal 1 binary64) #s(approx (- (* (exp z) y) y) (*.f64 (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64))) z (*.f64 #s(literal 1/2 binary64) y)) z y) z))))) |
(-.f64 (log1p.f64 (pow.f64 #s(approx (- (* (exp z) y) y) (*.f64 (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64))) z (*.f64 #s(literal 1/2 binary64) y)) z y) z)) #s(literal 3 binary64))) (log.f64 (+.f64 (pow.f64 #s(approx (- (* (exp z) y) y) (*.f64 (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64))) z (*.f64 #s(literal 1/2 binary64) y)) z y) z)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) #s(approx (- (* (exp z) y) y) (*.f64 (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64))) z (*.f64 #s(literal 1/2 binary64) y)) z y) z)))))) |
(-.f64 (log1p.f64 (pow.f64 #s(approx (- (* (exp z) y) y) (*.f64 (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64))) z (*.f64 #s(literal 1/2 binary64) y)) z y) z)) #s(literal 3 binary64))) (log1p.f64 (-.f64 (pow.f64 #s(approx (- (* (exp z) y) y) (*.f64 (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64))) z (*.f64 #s(literal 1/2 binary64) y)) z y) z)) #s(literal 2 binary64)) #s(approx (- (* (exp z) y) y) (*.f64 (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64))) z (*.f64 #s(literal 1/2 binary64) y)) z y) z))))) |
(log.f64 (+.f64 #s(approx (- (* (exp z) y) y) (*.f64 (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64))) z (*.f64 #s(literal 1/2 binary64) y)) z y) z)) #s(literal 1 binary64))) |
Compiled 22 351 to 2 713 computations (87.9% saved)
25 alts after pruning (17 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 413 | 9 | 422 |
| Fresh | 2 | 8 | 10 |
| Picked | 2 | 3 | 5 |
| Done | 1 | 5 | 6 |
| Total | 418 | 25 | 443 |
| Status | Accuracy | Program |
|---|---|---|
| 59.5% | (-.f64 x (/.f64 (log.f64 (-.f64 (fma.f64 (exp.f64 z) y (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 y (/.f64 y (+.f64 y #s(literal 1 binary64)))))) t)) | |
| 59.5% | (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y) z y) z #s(literal 1 binary64)))) t)) | |
| 59.4% | (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 (* z y)) (* 1/2 y)) (*.f64 (*.f64 #s(literal 1/6 binary64) z) y)) z y) z #s(literal 1 binary64)))) t)) | |
| ✓ | 81.0% | (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t)) |
| 66.7% | (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t)) | |
| ✓ | 82.7% | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t)) |
| 52.5% | (-.f64 x (-.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 (log.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 z) y y))) t))) | |
| 51.7% | (-.f64 x (-.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) (-.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 z) y y)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)))) t))) | |
| ✓ | 65.4% | (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y))) |
| 54.1% | (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) #s(approx (* (/ (+ (* 1/2 z) 1) t) z) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) t) z) z))) y))) | |
| ✓ | 72.3% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 y) (/.f64 z t) x)) |
| ✓ | 15.1% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (neg.f64 t))) |
| 18.5% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 #s(approx (- (* (exp z) y) y) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) z #s(literal 1/2 binary64)) y) z y) z))) (neg.f64 t))) | |
| 18.3% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 #s(approx (- (* (exp z) y) y) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/24 (* z y)) (* 1/6 y)) z) (* 1/2 y)) (*.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) z) y) z)) z y) z))) (neg.f64 t))) | |
| ✓ | 18.4% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 #s(approx (- (* (exp z) y) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y))) (neg.f64 t))) |
| 2.6% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 #s(approx (- (* (exp z) y) y) #s(approx (* (* (+ (* 1/2 z) 1) z) y) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) z) z) y)))) (neg.f64 t))) | |
| 20.3% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (- (* (exp z) y) y))) (*.f64 (expm1.f64 z) y)) (neg.f64 t))) | |
| 14.1% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (- (* (exp z) y) y))) (*.f64 z y)) (neg.f64 t))) | |
| 11.6% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (*.f64 (neg.f64 x) #s(approx (- (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) 1) (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (*.f64 t x))))) | |
| ✓ | 70.9% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (*.f64 (neg.f64 x) #s(approx (- (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) 1) #s(literal -1 binary64)))) |
| 13.3% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (/.f64 (fma.f64 z #s(approx (* (- y (* y y)) -1/2) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) (neg.f64 y)) t) z))) | |
| 13.4% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (/.f64 (fma.f64 z #s(approx (* (- y (* y y)) -1/2) (*.f64 #s(literal -1/2 binary64) y)) (neg.f64 y)) t) z))) | |
| 3.2% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (/.f64 #s(approx (+ (* z (* (- y (* y y)) -1/2)) (neg y)) (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/2 binary64))) t) z))) | |
| ✓ | 14.6% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (neg.f64 y) (/.f64 z t)))) |
| 13.8% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 #s(approx (/ (+ (* z (* (- y (* y y)) -1/2)) (neg y)) t) (/.f64 (neg.f64 y) t)) z))) |
Compiled 2 056 to 891 computations (56.7% saved)
| Inputs |
|---|
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (*.f64 (neg.f64 x) #s(approx (- (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) 1) #s(literal -1 binary64)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 #s(approx (/ (+ (* z (* (- y (* y y)) -1/2)) (neg y)) t) (/.f64 (neg.f64 y) t)) z))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (neg.f64 y) (/.f64 z t)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (- (* (exp z) y) y))) (*.f64 z y)) (neg.f64 t))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 y) (/.f64 z t) x)) |
(-.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 (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (/.f64 (fma.f64 z #s(approx (* (- y (* y y)) -1/2) (*.f64 #s(literal -1/2 binary64) y)) (neg.f64 y)) t) z))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) #s(approx (* (/ (+ (* 1/2 z) 1) t) z) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) t) z) z))) y))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp z) 1) t) y) (*.f64 (/.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) t) z)))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (/.f64 #s(approx (+ (* z (* (- y (* y y)) -1/2)) (neg y)) (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/2 binary64))) t) z))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (/.f64 (fma.f64 z #s(approx (* (- y (* y y)) -1/2) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) (neg.f64 y)) t) z))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (/.f64 (fma.f64 z (*.f64 (-.f64 y (*.f64 y y)) #s(literal -1/2 binary64)) (neg.f64 y)) t) z))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) t) z))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) z)) t)) |
(-.f64 x (/.f64 (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) y) 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) y) 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)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 #s(approx (- (* (exp z) y) y) #s(approx (* (* (+ (* 1/2 z) 1) z) y) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) z) z) y)))) (neg.f64 t))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 #s(approx (- (* (exp z) y) y) (*.f64 (*.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))) (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(approx (+ (* 1/6 (* z y)) (* 1/2 y)) (*.f64 (*.f64 #s(literal 1/6 binary64) z) y)) z y) z #s(literal 1 binary64)))) t)) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y) z y) z #s(literal 1 binary64)))) t)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 #s(approx (- (* (exp z) y) y) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/24 (* z y)) (* 1/6 y)) z) (* 1/2 y)) (*.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) z) y) z)) z y) z))) (neg.f64 t))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 #s(approx (- (* (exp z) y) y) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) z #s(literal 1/2 binary64)) y) z y) z))) (neg.f64 t))) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal 1/2 binary64) y)) z y) z #s(literal 1 binary64)))) t)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 #s(approx (- (* (exp z) y) y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 z y) (*.f64 #s(literal 1/6 binary64) y)) z (*.f64 #s(literal 1/2 binary64) y)) z y) z))) (neg.f64 t))) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (neg.f64 t))) |
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (*.f64 (neg.f64 x) #s(approx (- (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) 1) (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (*.f64 t x))))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (*.f64 (neg.f64 x) (-.f64 (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (*.f64 t x)) #s(literal 1 binary64)))) |
(-.f64 x (/.f64 (log.f64 (-.f64 (fma.f64 (exp.f64 z) y (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 y (/.f64 y (+.f64 y #s(literal 1 binary64)))))) t)) |
(-.f64 x (-.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 (log.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 z) y y))) t))) |
(-.f64 x (-.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) (-.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 z) y y)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)))) t))) |
| Outputs |
|---|
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.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 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y) z y) z #s(literal 1 binary64)))) t)) |
9 calls:
| 27.0ms | (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) |
| 23.0ms | t |
| 10.0ms | z |
| 10.0ms | y |
| 10.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.5% | 2 | (exp.f64 z) |
| 94.1% | 3 | (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) |
| 94.1% | 3 | (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) |
| 93.6% | 3 | (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) |
| 91.8% | 3 | (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) |
| 86.8% | 2 | x |
| 96.8% | 3 | y |
| 91.2% | 3 | z |
| 88.1% | 3 | t |
Compiled 47 to 63 computations (-34% saved)
| Inputs |
|---|
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (*.f64 (neg.f64 x) #s(approx (- (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) 1) #s(literal -1 binary64)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 #s(approx (/ (+ (* z (* (- y (* y y)) -1/2)) (neg y)) t) (/.f64 (neg.f64 y) t)) z))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (neg.f64 y) (/.f64 z t)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (- (* (exp z) y) y))) (*.f64 z y)) (neg.f64 t))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 y) (/.f64 z t) x)) |
(-.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 (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (/.f64 (fma.f64 z #s(approx (* (- y (* y y)) -1/2) (*.f64 #s(literal -1/2 binary64) y)) (neg.f64 y)) t) z))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) #s(approx (* (/ (+ (* 1/2 z) 1) t) z) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) t) z) z))) y))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp z) 1) t) y) (*.f64 (/.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) t) z)))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (/.f64 #s(approx (+ (* z (* (- y (* y y)) -1/2)) (neg y)) (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/2 binary64))) t) z))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (/.f64 (fma.f64 z #s(approx (* (- y (* y y)) -1/2) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) (neg.f64 y)) t) z))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (/.f64 (fma.f64 z (*.f64 (-.f64 y (*.f64 y y)) #s(literal -1/2 binary64)) (neg.f64 y)) t) z))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) t) z))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) z)) t)) |
(-.f64 x (/.f64 (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) y) 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) y) 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)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 #s(approx (- (* (exp z) y) y) #s(approx (* (* (+ (* 1/2 z) 1) z) y) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) z) z) y)))) (neg.f64 t))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 #s(approx (- (* (exp z) y) y) (*.f64 (*.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))) (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(approx (+ (* 1/6 (* z y)) (* 1/2 y)) (*.f64 (*.f64 #s(literal 1/6 binary64) z) y)) z y) z #s(literal 1 binary64)))) t)) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y) z y) z #s(literal 1 binary64)))) t)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 #s(approx (- (* (exp z) y) y) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/24 (* z y)) (* 1/6 y)) z) (* 1/2 y)) (*.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) z) y) z)) z y) z))) (neg.f64 t))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 #s(approx (- (* (exp z) y) y) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) z #s(literal 1/2 binary64)) y) z y) z))) (neg.f64 t))) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal 1/2 binary64) y)) z y) z #s(literal 1 binary64)))) t)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 #s(approx (- (* (exp z) y) y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 z y) (*.f64 #s(literal 1/6 binary64) y)) z (*.f64 #s(literal 1/2 binary64) y)) z y) z))) (neg.f64 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 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y) z y) z #s(literal 1 binary64)))) t)) |
7 calls:
| 46.0ms | (exp.f64 z) |
| 8.0ms | y |
| 8.0ms | z |
| 7.0ms | (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) |
| 6.0ms | (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) |
| Accuracy | Segments | Branch |
|---|---|---|
| 83.8% | 1 | (exp.f64 z) |
| 86.3% | 2 | z |
| 85.4% | 2 | (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) |
| 85.9% | 2 | (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) |
| 89.3% | 3 | (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) |
| 89.3% | 3 | (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) |
| 89.8% | 3 | y |
Compiled 45 to 55 computations (-22.2% saved)
| Inputs |
|---|
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (*.f64 (neg.f64 x) #s(approx (- (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) 1) #s(literal -1 binary64)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 #s(approx (/ (+ (* z (* (- y (* y y)) -1/2)) (neg y)) t) (/.f64 (neg.f64 y) t)) z))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (neg.f64 y) (/.f64 z t)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (- (* (exp z) y) y))) (*.f64 z y)) (neg.f64 t))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 y) (/.f64 z t) x)) |
(-.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 (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (/.f64 (fma.f64 z #s(approx (* (- y (* y y)) -1/2) (*.f64 #s(literal -1/2 binary64) y)) (neg.f64 y)) t) z))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) #s(approx (* (/ (+ (* 1/2 z) 1) t) z) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) t) z) z))) y))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp z) 1) t) y) (*.f64 (/.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) t) z)))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (/.f64 #s(approx (+ (* z (* (- y (* y y)) -1/2)) (neg y)) (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/2 binary64))) t) z))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (/.f64 (fma.f64 z #s(approx (* (- y (* y y)) -1/2) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) (neg.f64 y)) t) z))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (/.f64 (fma.f64 z (*.f64 (-.f64 y (*.f64 y y)) #s(literal -1/2 binary64)) (neg.f64 y)) t) z))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) t) z))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) z)) t)) |
(-.f64 x (/.f64 (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) y) 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) y) 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)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 #s(approx (- (* (exp z) y) y) #s(approx (* (* (+ (* 1/2 z) 1) z) y) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) z) z) y)))) (neg.f64 t))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 #s(approx (- (* (exp z) y) y) (*.f64 (*.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))) (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(approx (+ (* 1/6 (* z y)) (* 1/2 y)) (*.f64 (*.f64 #s(literal 1/6 binary64) z) y)) z y) z #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 (fma.f64 #s(approx (+ (* 1/6 (* z y)) (* 1/2 y)) (*.f64 (*.f64 #s(literal 1/6 binary64) z) y)) z y) z #s(literal 1 binary64)))) t)) |
1 calls:
| 7.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.8% | 3 | y |
Compiled 1 to 4 computations (-300% saved)
| Inputs |
|---|
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (*.f64 (neg.f64 x) #s(approx (- (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) 1) #s(literal -1 binary64)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 #s(approx (/ (+ (* z (* (- y (* y y)) -1/2)) (neg y)) t) (/.f64 (neg.f64 y) t)) z))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (neg.f64 y) (/.f64 z t)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (- (* (exp z) y) y))) (*.f64 z y)) (neg.f64 t))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 y) (/.f64 z t) x)) |
(-.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 (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (/.f64 (fma.f64 z #s(approx (* (- y (* y y)) -1/2) (*.f64 #s(literal -1/2 binary64) y)) (neg.f64 y)) t) z))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) #s(approx (* (/ (+ (* 1/2 z) 1) t) z) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) t) z) z))) y))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp z) 1) t) y) (*.f64 (/.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) t) z)))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (/.f64 #s(approx (+ (* z (* (- y (* y y)) -1/2)) (neg y)) (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/2 binary64))) t) z))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (/.f64 (fma.f64 z #s(approx (* (- y (* y y)) -1/2) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) (neg.f64 y)) t) z))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (/.f64 (fma.f64 z (*.f64 (-.f64 y (*.f64 y y)) #s(literal -1/2 binary64)) (neg.f64 y)) t) z))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) t) z))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) z)) t)) |
(-.f64 x (/.f64 (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) y) 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) y) 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)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 #s(approx (- (* (exp z) y) y) #s(approx (* (* (+ (* 1/2 z) 1) z) y) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) z) z) y)))) (neg.f64 t))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 #s(approx (- (* (exp z) y) y) (*.f64 (*.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))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #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 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64)))) t)) |
1 calls:
| 6.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.8% | 3 | y |
Compiled 1 to 4 computations (-300% saved)
| Inputs |
|---|
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (*.f64 (neg.f64 x) #s(approx (- (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) 1) #s(literal -1 binary64)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 #s(approx (/ (+ (* z (* (- y (* y y)) -1/2)) (neg y)) t) (/.f64 (neg.f64 y) t)) z))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (neg.f64 y) (/.f64 z t)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (- (* (exp z) y) y))) (*.f64 z y)) (neg.f64 t))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 y) (/.f64 z t) x)) |
(-.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 (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (/.f64 (fma.f64 z #s(approx (* (- y (* y y)) -1/2) (*.f64 #s(literal -1/2 binary64) y)) (neg.f64 y)) t) z))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) #s(approx (* (/ (+ (* 1/2 z) 1) t) z) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) t) z) z))) y))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp z) 1) t) y) (*.f64 (/.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) t) z)))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (/.f64 #s(approx (+ (* z (* (- y (* y y)) -1/2)) (neg y)) (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/2 binary64))) t) z))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (/.f64 (fma.f64 z #s(approx (* (- y (* y y)) -1/2) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) (neg.f64 y)) t) z))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (/.f64 (fma.f64 z (*.f64 (-.f64 y (*.f64 y y)) #s(literal -1/2 binary64)) (neg.f64 y)) t) z))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) t) z))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) z)) t)) |
(-.f64 x (/.f64 (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) y) 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) y) 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)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 #s(approx (- (* (exp z) y) y) #s(approx (* (* (+ (* 1/2 z) 1) z) y) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) z) z) y)))) (neg.f64 t))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 #s(approx (- (* (exp z) y) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y))) (neg.f64 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)) |
1 calls:
| 6.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.8% | 3 | y |
Compiled 1 to 4 computations (-300% saved)
| Inputs |
|---|
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (*.f64 (neg.f64 x) #s(approx (- (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) 1) #s(literal -1 binary64)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 #s(approx (/ (+ (* z (* (- y (* y y)) -1/2)) (neg y)) t) (/.f64 (neg.f64 y) t)) z))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (neg.f64 y) (/.f64 z t)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (- (* (exp z) y) y))) (*.f64 z y)) (neg.f64 t))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 y) (/.f64 z t) x)) |
(-.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 (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (/.f64 (fma.f64 z #s(approx (* (- y (* y y)) -1/2) (*.f64 #s(literal -1/2 binary64) y)) (neg.f64 y)) t) z))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) #s(approx (* (/ (+ (* 1/2 z) 1) t) z) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) t) z) z))) y))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp z) 1) t) y) (*.f64 (/.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) t) z)))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (/.f64 #s(approx (+ (* z (* (- y (* y y)) -1/2)) (neg y)) (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/2 binary64))) t) z))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (/.f64 (fma.f64 z #s(approx (* (- y (* y y)) -1/2) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) (neg.f64 y)) t) z))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (/.f64 (fma.f64 z (*.f64 (-.f64 y (*.f64 y y)) #s(literal -1/2 binary64)) (neg.f64 y)) t) z))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) t) z))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) z)) t)) |
(-.f64 x (/.f64 (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) y) 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) y) 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))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (*.f64 (neg.f64 x) #s(approx (- (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) 1) #s(literal -1 binary64)))) |
3 calls:
| 5.0ms | y |
| 4.0ms | (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) |
| 4.0ms | (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.4% | 2 | (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) |
| 87.4% | 2 | (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) |
| 86.7% | 2 | y |
Compiled 18 to 23 computations (-27.8% saved)
| Inputs |
|---|
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (*.f64 (neg.f64 x) #s(approx (- (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) 1) #s(literal -1 binary64)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 #s(approx (/ (+ (* z (* (- y (* y y)) -1/2)) (neg y)) t) (/.f64 (neg.f64 y) t)) z))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (neg.f64 y) (/.f64 z t)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (- (* (exp z) y) y))) (*.f64 z y)) (neg.f64 t))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 y) (/.f64 z t) x)) |
(-.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 (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (/.f64 (fma.f64 z #s(approx (* (- y (* y y)) -1/2) (*.f64 #s(literal -1/2 binary64) y)) (neg.f64 y)) t) z))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) #s(approx (* (/ (+ (* 1/2 z) 1) t) z) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) t) z) z))) y))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp z) 1) t) y) (*.f64 (/.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) t) z)))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (/.f64 #s(approx (+ (* z (* (- y (* y y)) -1/2)) (neg y)) (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/2 binary64))) t) z))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (/.f64 (fma.f64 z #s(approx (* (- y (* y y)) -1/2) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) (neg.f64 y)) t) z))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (/.f64 (fma.f64 z (*.f64 (-.f64 y (*.f64 y y)) #s(literal -1/2 binary64)) (neg.f64 y)) t) z))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) t) z))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) z)) t)) |
(-.f64 x (/.f64 (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) y) 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) y) y))) (*.f64 (expm1.f64 z) y)) (neg.f64 t))) |
| Outputs |
|---|
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (*.f64 (neg.f64 x) #s(approx (- (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) 1) #s(literal -1 binary64)))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y))) |
9 calls:
| 30.0ms | x |
| 5.0ms | y |
| 5.0ms | z |
| 5.0ms | t |
| 5.0ms | (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.1% | 2 | (exp.f64 z) |
| 75.5% | 3 | (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) |
| 72.3% | 1 | (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) |
| 81.1% | 2 | z |
| 75.1% | 2 | t |
| 76.2% | 2 | y |
| 77.7% | 3 | x |
| 77.2% | 2 | (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) |
| 77.2% | 2 | (log.f64 (+.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)) (*.f64 (neg.f64 x) #s(approx (- (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) 1) #s(literal -1 binary64)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 #s(approx (/ (+ (* z (* (- y (* y y)) -1/2)) (neg y)) t) (/.f64 (neg.f64 y) t)) z))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (neg.f64 y) (/.f64 z t)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (- (* (exp z) y) y))) (*.f64 z y)) (neg.f64 t))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 y) (/.f64 z t) x)) |
(-.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 (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (/.f64 (fma.f64 z #s(approx (* (- y (* y y)) -1/2) (*.f64 #s(literal -1/2 binary64) y)) (neg.f64 y)) t) z))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) #s(approx (* (/ (+ (* 1/2 z) 1) t) z) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) t) z) z))) y))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp z) 1) t) y) (*.f64 (/.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) t) z)))) |
| Outputs |
|---|
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (*.f64 (neg.f64 x) #s(approx (- (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) 1) #s(literal -1 binary64)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 y) (/.f64 z t) x)) |
2 calls:
| 3.0ms | z |
| 2.0ms | (exp.f64 z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.9% | 2 | z |
| 80.9% | 2 | (exp.f64 z) |
Compiled 3 to 9 computations (-200% saved)
Total -43.3b remaining (-232.2%)
Threshold costs -43.3b (-232.2%)
| Inputs |
|---|
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (*.f64 (neg.f64 x) #s(approx (- (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) 1) #s(literal -1 binary64)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 #s(approx (/ (+ (* z (* (- y (* y y)) -1/2)) (neg y)) t) (/.f64 (neg.f64 y) t)) z))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (neg.f64 y) (/.f64 z t)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (- (* (exp z) y) y))) (*.f64 z y)) (neg.f64 t))) |
| Outputs |
|---|
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (*.f64 (neg.f64 x) #s(approx (- (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) 1) #s(literal -1 binary64)))) |
9 calls:
| 112.0ms | t |
| 2.0ms | z |
| 2.0ms | (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) |
| 2.0ms | x |
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 70.9% | 1 | (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) |
| 70.9% | 1 | (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) |
| 70.9% | 1 | t |
| 70.9% | 1 | x |
| 70.9% | 1 | y |
| 70.9% | 1 | (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) |
| 70.9% | 1 | (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) |
| 70.9% | 1 | (exp.f64 z) |
| 70.9% | 1 | z |
Compiled 47 to 63 computations (-34% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 83.0ms | 2.9008532007296044e+144 | 4.058656753709581e+156 |
| 26.0ms | -2.9337741574948732 | -1.725278627263303e-5 |
| 65.0ms | 187× | 1 | valid |
| 10.0ms | 117× | 0 | valid |
| 10.0ms | 35× | 1 | invalid |
| 7.0ms | 93× | 0 | invalid |
Compiled 827 to 705 computations (14.8% saved)
ival-exp: 30.0ms (40.1% of total)ival-log: 19.0ms (25.4% of total)ival-sub: 7.0ms (9.3% of total)adjust: 6.0ms (8% of total)ival-div: 5.0ms (6.7% of total)ival-mult: 4.0ms (5.3% of total)ival-add: 3.0ms (4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 2.9008532007296044e+144 | 4.058656753709581e+156 |
| 26.0ms | -2.1914508512815e+156 | -8.471919687500882e+155 |
| 15.0ms | 44× | 1 | valid |
| 3.0ms | 36× | 0 | valid |
| 3.0ms | 14× | 1 | invalid |
| 1.0ms | 6× | 0 | invalid |
Compiled 666 to 564 computations (15.3% saved)
ival-exp: 8.0ms (44.8% of total)ival-log: 4.0ms (22.4% of total)ival-sub: 2.0ms (11.2% of total)adjust: 1.0ms (5.6% of total)ival-div: 1.0ms (5.6% of total)ival-add: 1.0ms (5.6% of total)ival-mult: 1.0ms (5.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 2.9008532007296044e+144 | 4.058656753709581e+156 |
| 1.0ms | -2.1914508512815e+156 | -8.471919687500882e+155 |
Compiled 756 to 624 computations (17.5% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 2.9008532007296044e+144 | 4.058656753709581e+156 |
| 1.0ms | -2.1914508512815e+156 | -8.471919687500882e+155 |
Compiled 636 to 544 computations (14.5% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 2.9008532007296044e+144 | 4.058656753709581e+156 |
| 1.0ms | -2.1914508512815e+156 | -8.471919687500882e+155 |
Compiled 586 to 514 computations (12.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 91.24940250836934 | 111.07101069028728 |
Compiled 16 to 19 computations (-18.8% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 0.9727331723803374 |
Compiled 16 to 19 computations (-18.8% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 164.0ms | -1.3508610767561628e+32 | -2.1597699577414503e+31 |
| 9.0ms | 33× | 1 | valid |
| 5.0ms | 63× | 0 | valid |
| 1.0ms | 15× | 0 | invalid |
Compiled 346 to 271 computations (21.7% saved)
ival-log: 6.0ms (52.4% of total)ival-sub: 2.0ms (17.5% of total)ival-add: 1.0ms (8.7% of total)ival-div: 1.0ms (8.7% of total)adjust: 1.0ms (8.7% of total)ival-exp: 1.0ms (8.7% of total)ival-mult: 1.0ms (8.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 111 | 571 |
| 1 | 166 | 569 |
| 2 | 283 | 569 |
| 3 | 516 | 569 |
| 4 | 1003 | 569 |
| 5 | 4324 | 569 |
| 1× | node limit |
| Inputs |
|---|
(if (<=.f64 y #s(literal -1062849512059437/9007199254740992 binary64)) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t)) (if (<=.f64 y #s(literal 49000000000000000297066906161149518894769805918891769862313198389898954306784139113771545093330074212345950580014547532279123819885997800544010240 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 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y) z y) z #s(literal 1 binary64)))) t)))) |
(if (<=.f64 y #s(literal -1399999999999999938595570204118895857152133126025846620193618489041394665615224221542167919084597195967526984020341121022442217496822213585152792652144443392 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 49000000000000000297066906161149518894769805918891769862313198389898954306784139113771545093330074212345950580014547532279123819885997800544010240 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 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y) z y) z #s(literal 1 binary64)))) t)))) |
(if (<=.f64 y #s(literal -1399999999999999938595570204118895857152133126025846620193618489041394665615224221542167919084597195967526984020341121022442217496822213585152792652144443392 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 49000000000000000297066906161149518894769805918891769862313198389898954306784139113771545093330074212345950580014547532279123819885997800544010240 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 (fma.f64 #s(approx (+ (* 1/6 (* z y)) (* 1/2 y)) (*.f64 (*.f64 #s(literal 1/6 binary64) z) y)) z y) z #s(literal 1 binary64)))) t)))) |
(if (<=.f64 y #s(literal -1399999999999999938595570204118895857152133126025846620193618489041394665615224221542167919084597195967526984020341121022442217496822213585152792652144443392 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 49000000000000000297066906161149518894769805918891769862313198389898954306784139113771545093330074212345950580014547532279123819885997800544010240 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 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64)))) t)))) |
(if (<=.f64 y #s(literal -1399999999999999938595570204118895857152133126025846620193618489041394665615224221542167919084597195967526984020341121022442217496822213585152792652144443392 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 49000000000000000297066906161149518894769805918891769862313198389898954306784139113771545093330074212345950580014547532279123819885997800544010240 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 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) #s(literal 100 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 (neg.f64 x) #s(approx (- (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) 1) #s(literal -1 binary64))))) |
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (*.f64 (neg.f64 x) #s(approx (- (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) 1) #s(literal -1 binary64)))) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y)))) |
(if (<=.f64 z #s(literal -23999999999999998225431182442496 binary64)) #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (*.f64 (neg.f64 x) #s(approx (- (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) 1) #s(literal -1 binary64)))) #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 y) (/.f64 z t) x))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (*.f64 (neg.f64 x) #s(approx (- (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) 1) #s(literal -1 binary64)))) |
| Outputs |
|---|
(if (<=.f64 y #s(literal -1062849512059437/9007199254740992 binary64)) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t)) (if (<=.f64 y #s(literal 49000000000000000297066906161149518894769805918891769862313198389898954306784139113771545093330074212345950580014547532279123819885997800544010240 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 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y) z y) z #s(literal 1 binary64)))) t)))) |
(if (<=.f64 y #s(literal -1399999999999999938595570204118895857152133126025846620193618489041394665615224221542167919084597195967526984020341121022442217496822213585152792652144443392 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 49000000000000000297066906161149518894769805918891769862313198389898954306784139113771545093330074212345950580014547532279123819885997800544010240 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 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y) z y) z #s(literal 1 binary64)))) t)))) |
(if (<=.f64 y #s(literal -1399999999999999938595570204118895857152133126025846620193618489041394665615224221542167919084597195967526984020341121022442217496822213585152792652144443392 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 49000000000000000297066906161149518894769805918891769862313198389898954306784139113771545093330074212345950580014547532279123819885997800544010240 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 (fma.f64 #s(approx (+ (* 1/6 (* z y)) (* 1/2 y)) (*.f64 (*.f64 #s(literal 1/6 binary64) z) y)) z y) z #s(literal 1 binary64)))) t)))) |
(if (<=.f64 y #s(literal -1399999999999999938595570204118895857152133126025846620193618489041394665615224221542167919084597195967526984020341121022442217496822213585152792652144443392 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 49000000000000000297066906161149518894769805918891769862313198389898954306784139113771545093330074212345950580014547532279123819885997800544010240 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 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64)))) t)))) |
(if (<=.f64 y #s(literal -1399999999999999938595570204118895857152133126025846620193618489041394665615224221542167919084597195967526984020341121022442217496822213585152792652144443392 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 49000000000000000297066906161149518894769805918891769862313198389898954306784139113771545093330074212345950580014547532279123819885997800544010240 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 (or (<=.f64 y #s(literal -1399999999999999938595570204118895857152133126025846620193618489041394665615224221542167919084597195967526984020341121022442217496822213585152792652144443392 binary64)) (not (<=.f64 y #s(literal 49000000000000000297066906161149518894769805918891769862313198389898954306784139113771545093330074212345950580014547532279123819885997800544010240 binary64)))) (-.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)))) |
(if (<=.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) #s(literal 100 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 (neg.f64 x) #s(approx (- (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) 1) #s(literal -1 binary64))))) |
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (*.f64 (neg.f64 x) #s(approx (- (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) 1) #s(literal -1 binary64)))) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y)))) |
(if (<=.f64 z #s(literal -23999999999999998225431182442496 binary64)) #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (*.f64 (neg.f64 x) #s(approx (- (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) 1) #s(literal -1 binary64)))) #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 y) (/.f64 z t) x))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (*.f64 (neg.f64 x) #s(approx (- (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) 1) #s(literal -1 binary64)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 335 | 1597 |
| 1 | 1079 | 1468 |
| 2 | 4058 | 1425 |
| 0 | 9154 | 1220 |
| 0 | 566 | 3459 |
| 1 | 1903 | 3105 |
| 2 | 7397 | 2987 |
| 0 | 8250 | 2595 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 865 to 405 computations (53.2% saved)
Compiled 1 250 to 304 computations (75.7% saved)
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