
Time bar (total: 11.9s)
| 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)
| 2.2s | 4 624× | 1 | valid |
| 1.6s | 1 604× | 5 | exit |
| 388.0ms | 3 632× | 0 | valid |
| 257.0ms | 678× | 1 | invalid |
| 244.0ms | 1 815× | 0 | invalid |
ival-log: 1.5s (40.6% of total)adjust: 705.0ms (18.6% of total)ival-exp: 675.0ms (17.8% of total)ival-div: 277.0ms (7.3% of total)ival-sub: 264.0ms (7% of total)ival-mult: 196.0ms (5.2% of total)ival-add: 115.0ms (3% of total)ival-true: 10.0ms (0.3% of total)exact: 9.0ms (0.2% of total)ival-assert: 5.0ms (0.1% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 164 | 44 | (-4.875083895410995e-13 1.2377589963565427e-193 -3.366423636126986e-242 2.0811820953426538e-293) | 0 | - | (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) |
| 81 | 4 | (1.2165265794340396e-84 -765449478253341.0 -1.1910364606255225e-102 -3.5374590672579505e-97) | 0 | - | (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) |
| 12 | 0 | - | 0 | - | (/.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 | 207 | 1 |
+.f64 | (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) | cancellation | 37 | 0 |
/.f64 | (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) | u/n | 2 | 0 |
| ↳ | (exp.f64 z) | underflow | 62 | |
| ↳ | (*.f64 y (exp.f64 z)) | underflow | 62 | |
| ↳ | (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) | underflow | 43 | |
log.f64 | (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) | oflow-rescue | 1 | 0 |
| ↳ | (exp.f64 z) | overflow | 1 | |
| ↳ | (*.f64 y (exp.f64 z)) | overflow | 1 | |
| ↳ | (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) | overflow | 1 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 103 | 10 |
| - | 126 | 17 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 103 | 0 | 10 |
| - | 126 | 1 | 16 |
| number | freq |
|---|---|
| 0 | 27 |
| 1 | 211 |
| 2 | 18 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 193.0ms | 352× | 1 | valid |
| 76.0ms | 122× | 2 | valid |
| 3.0ms | 38× | 0 | valid |
Compiled 127 to 40 computations (68.5% saved)
ival-log: 71.0ms (32.3% of total)adjust: 58.0ms (26.4% of total)ival-exp: 48.0ms (21.8% of total)ival-sub: 22.0ms (10% of total)ival-div: 8.0ms (3.6% of total)ival-mult: 6.0ms (2.7% of total)ival-add: 5.0ms (2.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 67 | 194 |
| 1 | 137 | 194 |
| 2 | 361 | 192 |
| 3 | 1254 | 190 |
| 4 | 5324 | 190 |
| 0 | 12 | 13 |
| 0 | 19 | 13 |
| 1 | 31 | 13 |
| 2 | 66 | 13 |
| 3 | 197 | 13 |
| 4 | 640 | 13 |
| 5 | 4390 | 13 |
| 0 | 8579 | 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 (fma.f64 (exp.f64 z) y (neg.f64 y))) t)) |
Compiled 13 to 12 computations (7.7% saved)
Compiled 0 to 4 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 59.1% | (-.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)
| 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 |
|---|
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
x |
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x))))) |
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) |
(+ x (* y (- (/ 1 t) (/ (exp z) t)))) |
(+ x (* y (- (+ (* 1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ 1 t)) (/ (exp z) t)))) |
(+ x (* y (- (+ (* y (- (* -1/3 (/ (* y (pow (- (exp z) 1) 3)) t)) (* -1/2 (/ (pow (- (exp z) 1) 2) t)))) (/ 1 t)) (/ (exp z) t)))) |
(/ (* y (- (exp z) 1)) t) |
(* y (- (+ (* -1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ (exp z) t)) (/ 1 t))) |
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) t)) (* 1/3 (/ (* y (pow (- (exp z) 1) 3)) t)))) (/ (exp z) t)) (/ 1 t))) |
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) t)) (* y (+ (* -1/4 (/ (* y (pow (- (exp z) 1) 4)) t)) (* 1/3 (/ (pow (- (exp z) 1) 3) t)))))) (/ (exp z) t)) (/ 1 t))) |
(* y (- (exp z) 1)) |
(* y (- (+ (exp z) (* -1/2 (* y (pow (- (exp z) 1) 2)))) 1)) |
(* y (- (+ (exp z) (* y (+ (* -1/2 (pow (- (exp z) 1) 2)) (* 1/3 (* y (pow (- (exp z) 1) 3)))))) 1)) |
(* y (- (+ (exp z) (* y (+ (* -1/2 (pow (- (exp z) 1) 2)) (* y (+ (* -1/4 (* y (pow (- (exp z) 1) 4))) (* 1/3 (pow (- (exp z) 1) 3))))))) 1)) |
1 |
(+ 1 (* y (- (exp z) 1))) |
(+ 1 (* -1 y)) |
y |
(* y (exp 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 y) |
(* y (- (/ 1 y) 1)) |
(- x (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
(- (+ x (/ 1 (* t (* y (+ 1 (* -1 (exp z))))))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
(- (+ x (+ (/ 1/2 (* t (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (* t (* y (+ 1 (* -1 (exp z)))))))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
(- (+ x (* -1 (/ (- (* -1 (/ (+ (* 1/3 (/ 1 (* t (* y (pow (+ 1 (* -1 (exp z))) 3))))) (* 1/2 (/ 1 (* t (pow (+ 1 (* -1 (exp z))) 2))))) y)) (/ 1 (* t (+ 1 (* -1 (exp z)))))) y))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
(/ (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) t) |
(- (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t)) (/ 1 (* t (* y (+ 1 (* -1 (exp z))))))) |
(+ (* -1 (/ (log (/ -1 y)) t)) (+ (* -1 (/ (+ (* 1/2 (/ 1 (* t (* y (pow (+ 1 (* -1 (exp z))) 2))))) (/ 1 (* t (+ 1 (* -1 (exp z)))))) y)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
(+ (* -1 (/ (log (/ -1 y)) t)) (+ (* -1 (/ (+ (/ 1/3 (* t (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 3)))) (+ (/ 1/2 (* t (* y (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (* t (+ 1 (* -1 (exp z))))))) y)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
(+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) |
(- (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) (/ 1 (* y (+ 1 (* -1 (exp z)))))) |
(+ (log (+ 1 (* -1 (exp z)))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* 1/2 (/ 1 (* y (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (+ 1 (* -1 (exp z))))) y)))) |
(+ (log (+ 1 (* -1 (exp z)))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (/ 1/3 (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 3))) (+ (/ 1/2 (* y (pow (+ 1 (* -1 (exp z))) 2))) (/ 1 (+ 1 (* -1 (exp z)))))) y)))) |
(* -1 (* y (+ 1 (* -1 (exp z))))) |
(* -1 (* y (- (+ 1 (* -1 (exp z))) (/ 1 y)))) |
(* -1 (* y (- 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)))))) |
(+ y (* y z)) |
(+ y (* z (+ y (* 1/2 (* y z))))) |
(+ y (* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y)))))) |
(+ 1 z) |
(+ 1 (* z (+ 1 (* 1/2 z)))) |
(+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) |
z |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(log (- (+ 1 (* y (exp z))) y)) |
(- (+ 1 (* y (exp z))) y) |
(exp z) |
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) |
t |
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 51.0ms | z | @ | -inf | ((- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) x (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (- 1 y) 1 y (* y (exp z)) (exp z) z t) |
| 25.0ms | z | @ | inf | ((- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) x (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (- 1 y) 1 y (* y (exp z)) (exp z) z t) |
| 21.0ms | x | @ | 0 | ((- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) x (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (- 1 y) 1 y (* y (exp z)) (exp z) z t) |
| 18.0ms | t | @ | inf | ((- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) x (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (- 1 y) 1 y (* y (exp z)) (exp z) z t) |
| 13.0ms | t | @ | 0 | ((- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) x (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (- 1 y) 1 y (* y (exp z)) (exp z) z t) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 353 | 1645 |
| 1 | 1138 | 1515 |
| 2 | 4474 | 1463 |
| 0 | 8389 | 1217 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
x |
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x))))) |
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) |
(+ x (* y (- (/ 1 t) (/ (exp z) t)))) |
(+ x (* y (- (+ (* 1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ 1 t)) (/ (exp z) t)))) |
(+ x (* y (- (+ (* y (- (* -1/3 (/ (* y (pow (- (exp z) 1) 3)) t)) (* -1/2 (/ (pow (- (exp z) 1) 2) t)))) (/ 1 t)) (/ (exp z) t)))) |
(/ (* y (- (exp z) 1)) t) |
(* y (- (+ (* -1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ (exp z) t)) (/ 1 t))) |
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) t)) (* 1/3 (/ (* y (pow (- (exp z) 1) 3)) t)))) (/ (exp z) t)) (/ 1 t))) |
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) t)) (* y (+ (* -1/4 (/ (* y (pow (- (exp z) 1) 4)) t)) (* 1/3 (/ (pow (- (exp z) 1) 3) t)))))) (/ (exp z) t)) (/ 1 t))) |
(* y (- (exp z) 1)) |
(* y (- (+ (exp z) (* -1/2 (* y (pow (- (exp z) 1) 2)))) 1)) |
(* y (- (+ (exp z) (* y (+ (* -1/2 (pow (- (exp z) 1) 2)) (* 1/3 (* y (pow (- (exp z) 1) 3)))))) 1)) |
(* y (- (+ (exp z) (* y (+ (* -1/2 (pow (- (exp z) 1) 2)) (* y (+ (* -1/4 (* y (pow (- (exp z) 1) 4))) (* 1/3 (pow (- (exp z) 1) 3))))))) 1)) |
1 |
(+ 1 (* y (- (exp z) 1))) |
(+ 1 (* -1 y)) |
y |
(* y (exp 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 y) |
(* y (- (/ 1 y) 1)) |
(- x (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
(- (+ x (/ 1 (* t (* y (+ 1 (* -1 (exp z))))))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
(- (+ x (+ (/ 1/2 (* t (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (* t (* y (+ 1 (* -1 (exp z)))))))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
(- (+ x (* -1 (/ (- (* -1 (/ (+ (* 1/3 (/ 1 (* t (* y (pow (+ 1 (* -1 (exp z))) 3))))) (* 1/2 (/ 1 (* t (pow (+ 1 (* -1 (exp z))) 2))))) y)) (/ 1 (* t (+ 1 (* -1 (exp z)))))) y))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
(/ (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) t) |
(- (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t)) (/ 1 (* t (* y (+ 1 (* -1 (exp z))))))) |
(+ (* -1 (/ (log (/ -1 y)) t)) (+ (* -1 (/ (+ (* 1/2 (/ 1 (* t (* y (pow (+ 1 (* -1 (exp z))) 2))))) (/ 1 (* t (+ 1 (* -1 (exp z)))))) y)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
(+ (* -1 (/ (log (/ -1 y)) t)) (+ (* -1 (/ (+ (/ 1/3 (* t (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 3)))) (+ (/ 1/2 (* t (* y (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (* t (+ 1 (* -1 (exp z))))))) y)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
(+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) |
(- (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) (/ 1 (* y (+ 1 (* -1 (exp z)))))) |
(+ (log (+ 1 (* -1 (exp z)))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* 1/2 (/ 1 (* y (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (+ 1 (* -1 (exp z))))) y)))) |
(+ (log (+ 1 (* -1 (exp z)))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (/ 1/3 (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 3))) (+ (/ 1/2 (* y (pow (+ 1 (* -1 (exp z))) 2))) (/ 1 (+ 1 (* -1 (exp z)))))) y)))) |
(* -1 (* y (+ 1 (* -1 (exp z))))) |
(* -1 (* y (- (+ 1 (* -1 (exp z))) (/ 1 y)))) |
(* -1 (* y (- 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)))))) |
(+ y (* y z)) |
(+ y (* z (+ y (* 1/2 (* y z))))) |
(+ y (* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y)))))) |
(+ 1 z) |
(+ 1 (* z (+ 1 (* 1/2 z)))) |
(+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) |
z |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(log (- (+ 1 (* y (exp z))) y)) |
(- (+ 1 (* y (exp z))) y) |
(exp z) |
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) |
t |
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) |
| Outputs |
|---|
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)) |
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
x |
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x))))) |
(fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) x) |
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) |
(fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) x) |
(+ 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 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) y) #s(literal -1/3 binary64))) t) y (-.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 (exp.f64 z) t))) y x) |
(/ (* y (- (exp z) 1)) t) |
(*.f64 (/.f64 (expm1.f64 z) t) y) |
(* y (- (+ (* -1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ (exp z) t)) (/ 1 t))) |
(*.f64 (/.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)) |
(+ 1 (* -1 y)) |
(-.f64 #s(literal 1 binary64) y) |
y |
(* y (exp z)) |
(*.f64 (exp.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 #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)) (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 x (+.f64 (+.f64 (/.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) (/.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 z)) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) y))) t)) y)) (/.f64 (log.f64 y) 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 (log.f64 (expm1.f64 z)) (/.f64 #s(literal 1/3 binary64) (pow.f64 (*.f64 (expm1.f64 z) y) #s(literal 3 binary64)))) t) (/.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 z)) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) y))) t)) y)) (/.f64 (log.f64 y) t)) |
(+ (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 (log.f64 y) (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) y)) (/.f64 #s(literal 1 binary64) (expm1.f64 z))) y)) (log.f64 (expm1.f64 z))) |
(- (+ (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) |
(* -1 y) |
(neg.f64 y) |
(* y (- (/ 1 y) 1)) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #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 (expm1.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) (expm1.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 (neg.f64 y) (pow.f64 (expm1.f64 z) #s(literal 3 binary64))))) t) (neg.f64 y)) (/.f64 (/.f64 #s(literal -1 binary64) (expm1.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 (expm1.f64 z) y) t))) |
(+ (* -1 (/ (log (/ -1 y)) t)) (+ (* -1 (/ (+ (* 1/2 (/ 1 (* t (* y (pow (+ 1 (* -1 (exp z))) 2))))) (/ 1 (* t (+ 1 (* -1 (exp z)))))) y)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
(fma.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 z)) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) y))) y) t) #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)) (neg.f64 (expm1.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) (expm1.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)) |
(+ (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) (expm1.f64 z)) y))) |
(+ (log (+ 1 (* -1 (exp z)))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* 1/2 (/ 1 (* y (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (+ 1 (* -1 (exp z))))) y)))) |
(-.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 z))) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) (expm1.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)) (neg.f64 (expm1.f64 z))) (/.f64 #s(literal 1/2 binary64) y)) (pow.f64 (expm1.f64 z) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (expm1.f64 z))) y)) |
(* -1 (* y (+ 1 (* -1 (exp z))))) |
(*.f64 (expm1.f64 z) y) |
(* -1 (* y (- (+ 1 (* -1 (exp z))) (/ 1 y)))) |
(*.f64 (neg.f64 y) (-.f64 (neg.f64 (expm1.f64 z)) (/.f64 #s(literal 1 binary64) y))) |
(* -1 (* y (- 1 (/ 1 y)))) |
(*.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))) |
(+ 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 (fma.f64 y y (neg.f64 y)) z) #s(literal -1/2 binary64) 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 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64) (*.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)))) 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 y y (neg.f64 y)) #s(literal -1/2 binary64) (*.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)) 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 (fma.f64 y y (neg.f64 y)) z) #s(literal -1/2 binary64) 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 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64) (*.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)))) 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 y y (neg.f64 y)) #s(literal -1/2 binary64) (*.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)) 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)) |
(+ 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) |
(+ 1 z) |
(+.f64 #s(literal 1 binary64) z) |
(+ 1 (* z (+ 1 (* 1/2 z)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64)) |
(+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z #s(literal 1 binary64)) |
z |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(log (- (+ 1 (* y (exp z))) y)) |
(log1p.f64 (*.f64 (expm1.f64 z) y)) |
(- (+ 1 (* y (exp z))) y) |
(fma.f64 (expm1.f64 z) y #s(literal 1 binary64)) |
(exp z) |
(exp.f64 z) |
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) |
(/.f64 (-.f64 (*.f64 t x) (log1p.f64 (*.f64 (expm1.f64 z) y))) t) |
t |
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 55 |
| 0 | 19 | 55 |
| 1 | 72 | 55 |
| 0 | 553 | 51 |
| 1× | iter limit |
| 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 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))) t) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 (log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))) t) x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))) t) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 (log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))) t) (+.f64 (/.f64 (log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))) t) x) (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 x x) (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)) (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 (log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))) t) (+.f64 (/.f64 (log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))) t) x) (*.f64 x 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 (log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))) t) (+.f64 (/.f64 (log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))) t) x) (*.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 (log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))) t) (+.f64 (/.f64 (log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))) t) x) (*.f64 x x)))) |
(-.f64 x (/.f64 (log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))) t)) |
x |
(/.f64 (neg.f64 (neg.f64 (log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))))) (neg.f64 (neg.f64 t))) |
(/.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 (neg.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 (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 (-.f64 #s(literal 1 binary64) y) (*.f64 (exp.f64 z) 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 (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))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 y (*.f64 (exp.f64 z) y)) (-.f64 y (*.f64 (exp.f64 z) y)))) (+.f64 #s(literal 1 binary64) (-.f64 y (*.f64 (exp.f64 z) y)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64))) (-.f64 (*.f64 (exp.f64 z) y) (-.f64 #s(literal 1 binary64) y))) |
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 y) (exp.f64 z)) #s(literal 3 binary64))) (+.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 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 y (*.f64 (exp.f64 z) y)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (-.f64 y (*.f64 (exp.f64 z) y)) (-.f64 y (*.f64 (exp.f64 z) y)) (*.f64 #s(literal 1 binary64) (-.f64 y (*.f64 (exp.f64 z) y)))))) |
(/.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)))) (neg.f64 (-.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (exp.f64 z) y)))) |
(/.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)))) (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 (-.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 (-.f64 #s(literal 1 binary64) y) (*.f64 (exp.f64 z) y))) |
(/.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 (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 (+.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 (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)))) |
(fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y)) |
(fma.f64 y (exp.f64 z) (-.f64 #s(literal 1 binary64) y)) |
(-.f64 (fma.f64 (exp.f64 z) y #s(literal 1 binary64)) y) |
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (exp.f64 z) y))) (/.f64 (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (exp.f64 z) y)))) |
(-.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (neg.f64 (exp.f64 z)) y)) |
(-.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (neg.f64 y) (exp.f64 z))) |
(-.f64 #s(literal 1 binary64) (-.f64 y (*.f64 (exp.f64 z) y))) |
(+.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) (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 (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 3 binary64)) (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 (*.f64 (exp.f64 z) y) (-.f64 #s(literal 1 binary64) y)) |
(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (neg.f64 (neg.f64 y)) (exp.f64 z))) |
(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (exp.f64 z) y)) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y))) (neg.f64 (+.f64 y #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (+.f64 y #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 (fma.f64 y y y) #s(literal 1 binary64))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (/.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 y y y) #s(literal 1 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (fma.f64 y y y) #s(literal 1 binary64)))) |
(-.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
(*.f64 (exp.f64 z) y) |
(*.f64 y (exp.f64 z)) |
(fma.f64 (cosh.f64 z) y (*.f64 (sinh.f64 z) y)) |
(fma.f64 y (cosh.f64 z) (*.f64 y (sinh.f64 z))) |
(+.f64 (*.f64 (cosh.f64 z) y) (*.f64 (sinh.f64 z) y)) |
(+.f64 (*.f64 y (cosh.f64 z)) (*.f64 y (sinh.f64 z))) |
(/.f64 (-.f64 (*.f64 (cosh.f64 z) (cosh.f64 z)) (*.f64 (sinh.f64 z) (sinh.f64 z))) (-.f64 (cosh.f64 z) (sinh.f64 z))) |
(/.f64 (+.f64 (pow.f64 (cosh.f64 z) #s(literal 3 binary64)) (pow.f64 (sinh.f64 z) #s(literal 3 binary64))) (fma.f64 (cosh.f64 z) (cosh.f64 z) (-.f64 (*.f64 (sinh.f64 z) (sinh.f64 z)) (*.f64 (cosh.f64 z) (sinh.f64 z))))) |
(exp.f64 z) |
(+.f64 (sinh.f64 z) (cosh.f64 z)) |
(+.f64 (cosh.f64 z) (sinh.f64 z)) |
z |
t |
Compiled 3 557 to 725 computations (79.6% saved)
13 alts after pruning (13 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 118 | 13 | 131 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 119 | 13 | 132 |
| Status | Accuracy | Program |
|---|---|---|
| 46.2% | (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y #s(approx (exp z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64)))))) t)) | |
| ▶ | 50.7% | (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) #s(approx (* y (exp z)) (fma.f64 z y y)))) t)) |
| ▶ | 70.4% | (-.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)) |
| 71.5% | (-.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)) | |
| 75.5% | (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t)) | |
| 38.8% | (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))) t)) | |
| 74.7% | (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t)) | |
| 85.5% | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t)) | |
| ▶ | 74.4% | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) |
| 64.3% | (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 y y (neg.f64 y)) z) #s(literal -1/2 binary64) y) t) z))) | |
| ▶ | 85.4% | (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))) |
| ▶ | 89.7% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) x)) |
| 26.7% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t))) |
Compiled 546 to 432 computations (20.9% saved)
| Inputs |
|---|
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) x)) |
(fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) x) |
(neg.f64 x) |
x |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) |
(log1p.f64 (*.f64 (expm1.f64 z) y)) |
(*.f64 (expm1.f64 z) y) |
(expm1.f64 z) |
z |
y |
(*.f64 t x) |
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 #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 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) #s(approx (* y (exp z)) (fma.f64 z y y)))) t)) |
(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) #s(approx (* y (exp z)) (fma.f64 z y y)))) t) |
(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) #s(approx (* y (exp z)) (fma.f64 z y y)))) |
(+.f64 (-.f64 #s(literal 1 binary64) y) #s(approx (* y (exp z)) (fma.f64 z y y))) |
(-.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
#s(approx (* y (exp z)) (fma.f64 z y y)) |
(fma.f64 z y 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 (+ (- 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 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
| Outputs |
|---|
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t)) |
(+ x (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t))) |
(* -1 x) |
x |
(/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)) |
(* t x) |
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x))))) |
(* x (+ 1 (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) (* t x))))) |
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) |
(* -1 (* x (- (/ (log (+ 1 (* y (- (exp z) 1)))) (* 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)))) |
(+ x (* -1 (/ (* y (- (exp z) 1)) t))) |
(+ x (* y (+ (* -1 (/ (- (exp z) 1) t)) (* 1/2 (/ (* y (pow (- (exp z) 1) 2)) t))))) |
(+ x (* y (+ (* -1 (/ (- (exp z) 1) t)) (* y (+ (* -1/3 (/ (* y (pow (- (exp z) 1) 3)) t)) (* 1/2 (/ (pow (- (exp z) 1) 2) t))))))) |
(/ (* y (- (exp z) 1)) (* t x)) |
(* y (- (+ (* -1/2 (/ (* y (pow (- (exp z) 1) 2)) (* t x))) (/ (exp z) (* t x))) (/ 1 (* t x)))) |
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) (* t x))) (* 1/3 (/ (* y (pow (- (exp z) 1) 3)) (* t x))))) (/ (exp z) (* t x))) (/ 1 (* t x)))) |
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) (* t x))) (* y (+ (* -1/4 (/ (* y (pow (- (exp z) 1) 4)) (* t x))) (* 1/3 (/ (pow (- (exp z) 1) 3) (* t x))))))) (/ (exp z) (* t x))) (/ 1 (* t x)))) |
(* y (- (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 |
(/ (* y (- (exp z) 1)) t) |
(* y (- (+ (* -1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ (exp z) t)) (/ 1 t))) |
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) t)) (* 1/3 (/ (* y (pow (- (exp z) 1) 3)) t)))) (/ (exp z) t)) (/ 1 t))) |
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) t)) (* y (+ (* -1/4 (/ (* y (pow (- (exp z) 1) 4)) t)) (* 1/3 (/ (pow (- (exp z) 1) 3) t)))))) (/ (exp z) t)) (/ 1 t))) |
(* y z) |
1 |
(+ 1 (* y (- (exp z) 1))) |
(+ 1 (* -1 y)) |
(* y (exp z)) |
(* y (+ 1 z)) |
(+ 1 (* y (* z (+ 1 (* z (+ 1/2 (* 1/6 z))))))) |
(* y (+ 1 (* z (+ 1/2 (* 1/6 z))))) |
(* y (+ 1/2 (* 1/6 z))) |
(* 1/2 y) |
(- 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))))) |
(+ x (* -1 (/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t))) |
(- (+ x (* -1 (/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t))) (/ 1 (* t (* y (- (exp z) 1))))) |
(- (+ x (+ (* -1 (/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t)) (/ 1/2 (* t (* (pow y 2) (pow (- (exp z) 1) 2)))))) (/ 1 (* t (* y (- (exp z) 1))))) |
(- (+ x (+ (* -1 (/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t)) (* 1/2 (/ 1 (* t (* (pow y 2) (pow (- (exp z) 1) 2))))))) (+ (/ 1 (* t (* y (- (exp z) 1)))) (* 1/3 (/ 1 (* t (* (pow y 3) (pow (- (exp z) 1) 3))))))) |
(/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) (* 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))))))) |
(+ (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))))) |
(/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t) |
(+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t))) |
(- (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t))) (/ 1/2 (* t (* (pow y 2) (pow (- (exp z) 1) 2))))) |
(- (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (+ (* 1/3 (/ 1 (* t (* (pow y 3) (pow (- (exp z) 1) 3))))) (/ (log (- (exp z) 1)) t)))) (* 1/2 (/ 1 (* t (* (pow y 2) (pow (- (exp z) 1) 2)))))) |
(* y (- (+ (exp z) (/ 1 y)) 1)) |
(* -1 y) |
(* y (- (/ 1 y) 1)) |
(* y (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) |
(* y (+ (* z (+ 1 (* z (+ 1/2 (* 1/6 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))) |
(+ x (* -1 (/ (+ (log (* -1 (- (exp z) 1))) (* -1 (log (/ -1 y)))) t))) |
(- (+ x (* -1 (/ (+ (log (* -1 (- (exp z) 1))) (* -1 (log (/ -1 y)))) t))) (/ 1 (* t (* y (- (exp z) 1))))) |
(+ x (+ (* -1 (/ (+ (log (* -1 (- (exp z) 1))) (* -1 (log (/ -1 y)))) t)) (* -1 (/ (- (/ 1 (* t (- (exp z) 1))) (* 1/2 (/ 1 (* t (* y (pow (- (exp z) 1) 2)))))) y)))) |
(+ x (+ (* -1 (/ (+ (log (* -1 (- (exp z) 1))) (* -1 (log (/ -1 y)))) t)) (* -1 (/ (+ (* -1 (/ (- (* 1/2 (/ 1 (* t (pow (- (exp z) 1) 2)))) (* 1/3 (/ 1 (* t (* y (pow (- (exp z) 1) 3)))))) y)) (/ 1 (* t (- (exp z) 1)))) y)))) |
(/ (+ (log (* -1 (- (exp z) 1))) (* -1 (log (/ -1 y)))) (* t x)) |
(+ (* -1 (/ (log (/ -1 y)) (* t x))) (+ (/ 1 (* t (* x (* y (- (exp z) 1))))) (/ (log (* -1 (- (exp z) 1))) (* t x)))) |
(+ (* -1 (/ (log (/ -1 y)) (* t x))) (+ (* -1 (/ (- (* 1/2 (/ 1 (* t (* x (* y (pow (- (exp z) 1) 2)))))) (/ 1 (* t (* x (- (exp z) 1))))) y)) (/ (log (* -1 (- (exp z) 1))) (* t x)))) |
(+ (* -1 (/ (log (/ -1 y)) (* t x))) (+ (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* t (* x (* y (pow (- (exp z) 1) 3)))))) (* 1/2 (/ 1 (* t (* x (pow (- (exp z) 1) 2)))))) y)) (/ 1 (* t (* x (- (exp z) 1))))) y)) (/ (log (* -1 (- (exp z) 1))) (* t x)))) |
(+ (log (* -1 (- (exp z) 1))) (* -1 (log (/ -1 y)))) |
(+ (log (* -1 (- (exp z) 1))) (+ (* -1 (log (/ -1 y))) (/ 1 (* y (- (exp z) 1))))) |
(+ (log (* -1 (- (exp z) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* 1/2 (/ 1 (* y (pow (- (exp z) 1) 2)))) (/ 1 (- (exp z) 1))) y)))) |
(+ (log (* -1 (- (exp z) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* y (pow (- (exp z) 1) 3)))) (* 1/2 (/ 1 (pow (- (exp z) 1) 2)))) y)) (/ 1 (- (exp z) 1))) y)))) |
(/ (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) t) |
(- (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t)) (/ 1 (* t (* y (+ 1 (* -1 (exp z))))))) |
(+ (* -1 (/ (log (/ -1 y)) t)) (+ (* -1 (/ (+ (* 1/2 (/ 1 (* t (* y (pow (+ 1 (* -1 (exp z))) 2))))) (/ 1 (* t (+ 1 (* -1 (exp z)))))) y)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
(+ (* -1 (/ (log (/ -1 y)) t)) (+ (* -1 (/ (+ (/ 1/3 (* t (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 3)))) (+ (/ 1/2 (* t (* y (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (* t (+ 1 (* -1 (exp z))))))) y)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
(+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) |
(- (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) (/ 1 (* y (+ 1 (* -1 (exp z)))))) |
(+ (log (+ 1 (* -1 (exp z)))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* 1/2 (/ 1 (* y (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (+ 1 (* -1 (exp z))))) y)))) |
(+ (log (+ 1 (* -1 (exp z)))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (/ 1/3 (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 3))) (+ (/ 1/2 (* y (pow (+ 1 (* -1 (exp z))) 2))) (/ 1 (+ 1 (* -1 (exp z)))))) y)))) |
(* -1 (* y (+ 1 (* -1 (exp z))))) |
(* -1 (* y (- (+ 1 (* -1 (exp z))) (/ 1 y)))) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 (* y (- (* -1 z) 1))) |
(* -1 (* y (* z (- (* z (- (* -1/6 z) 1/2)) 1)))) |
(* -1 (* y (- (* z (- (* z (- (* -1/6 z) 1/2)) 1)) (/ 1 y)))) |
(* -1 (* y (- (* z (- (* -1/6 z) 1/2)) 1))) |
(* -1 (* y (- (* -1/6 z) 1/2))) |
(+ 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)))) |
(+ 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)) |
(* z (+ (* 1/2 (/ (* z (+ y (* -1 (pow y 2)))) (* t x))) (/ y (* t x)))) |
(* z (+ (* z (+ (* 1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) (* t x))) (* 1/2 (/ (+ y (* -1 (pow y 2))) (* t x))))) (/ y (* t x)))) |
(* z (+ (* z (+ (* 1/2 (/ (+ y (* -1 (pow y 2))) (* t x))) (* z (+ (* 1/24 (/ (* z (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3))))))) (* t x))) (* 1/6 (/ (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))) (* t x))))))) (/ y (* t x)))) |
(* z (+ 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))))))) |
z |
(* z (+ 1 (* 1/2 z))) |
(* z (+ 1 (* z (+ 1/2 (* 1/6 z))))) |
(* z (+ 1 (* z (+ 1/2 (* z (+ 1/6 (* 1/24 z))))))) |
(/ (* y z) t) |
(* z (+ (* 1/2 (/ (* z (+ y (* -1 (pow y 2)))) t)) (/ y t))) |
(* z (+ (* z (+ (* 1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) t)) (* 1/2 (/ (+ y (* -1 (pow y 2))) t)))) (/ y t))) |
(* z (+ (* z (+ (* 1/2 (/ (+ y (* -1 (pow y 2))) t)) (* z (+ (* 1/24 (/ (* z (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3))))))) t)) (* 1/6 (/ (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))) t)))))) (/ y t))) |
(* z (+ (* 1/2 (/ (* 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)) |
(+ 1 (* z (+ y (* 1/2 (* y z))))) |
(+ 1 (* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y)))))) |
(+ y (* y z)) |
(+ y (* z (+ y (* 1/2 (* y z))))) |
(+ y (* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y)))))) |
(+ y (* 1/2 (* y z))) |
(+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y)))) |
(+ (* 1/6 (* y z)) (* 1/2 y)) |
(log (+ 1 (* y (- (exp z) 1)))) |
(- (exp z) 1) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(log (- (+ 1 (* y (exp z))) y)) |
(/ (- (exp z) 1) t) |
(- (+ 1 (* y (exp z))) y) |
(* z (+ y (/ y z))) |
(* 1/6 (* y (pow z 3))) |
(* (pow z 3) (+ (* 1/6 y) (* 1/2 (/ y z)))) |
(* (pow z 3) (+ (* 1/6 y) (+ (* 1/2 (/ y z)) (/ y (pow z 2))))) |
(* (pow z 3) (+ (* 1/6 y) (+ (* 1/2 (/ y z)) (+ (/ 1 (pow z 3)) (/ y (pow z 2)))))) |
(* 1/6 (* y (pow z 2))) |
(* (pow z 2) (+ (* 1/6 y) (* 1/2 (/ y z)))) |
(* (pow z 2) (+ (* 1/6 y) (+ (* 1/2 (/ y z)) (/ y (pow z 2))))) |
(* 1/6 (* y z)) |
(* z (+ (* 1/6 y) (* 1/2 (/ y z)))) |
(* -1 (* z (+ (* -1 y) (* -1 (/ y z))))) |
(* -1 (* (pow z 3) (+ (* -1/2 (/ y z)) (* -1/6 y)))) |
(* -1 (* (pow z 3) (+ (* -1 (/ (+ (* 1/2 y) (/ y z)) z)) (* -1/6 y)))) |
(* -1 (* (pow z 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1 y) (/ 1 z)) z)) (* 1/2 y)) z)) (* -1/6 y)))) |
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (/ y z)) (* -1/2 y)) z)) (* 1/6 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) 1))))) (* t x)) t) |
t |
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 81.0ms | z | @ | inf | ((- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (neg x) (/ (log (+ 1 (* (- (exp z) 1) y))) (* t x))) x) (neg x) x (/ (log (+ 1 (* (- (exp z) 1) y))) (* t x)) (log (+ 1 (* (- (exp z) 1) y))) (* (- (exp z) 1) y) (- (exp z) 1) z y (* t x) 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) (* (/ (- (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))) (- 1 y) 1 (* y (exp z)) (+ (* z y) y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (+ (* (+ (* (+ (* 1/6 (* z y)) (* 1/2 y)) z) y) z) 1) (+ (* (+ (* 1/6 (* z y)) (* 1/2 y)) z) y) (+ (* 1/6 (* z y)) (* 1/2 y)) 1/6 (* 1/2 y) 1/2) |
| 50.0ms | x | @ | 0 | ((- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (neg x) (/ (log (+ 1 (* (- (exp z) 1) y))) (* t x))) x) (neg x) x (/ (log (+ 1 (* (- (exp z) 1) y))) (* t x)) (log (+ 1 (* (- (exp z) 1) y))) (* (- (exp z) 1) y) (- (exp z) 1) z y (* t x) 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) (* (/ (- (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))) (- 1 y) 1 (* y (exp z)) (+ (* z y) y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (+ (* (+ (* (+ (* 1/6 (* z y)) (* 1/2 y)) z) y) z) 1) (+ (* (+ (* 1/6 (* z y)) (* 1/2 y)) z) y) (+ (* 1/6 (* z y)) (* 1/2 y)) 1/6 (* 1/2 y) 1/2) |
| 45.0ms | z | @ | -inf | ((- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (neg x) (/ (log (+ 1 (* (- (exp z) 1) y))) (* t x))) x) (neg x) x (/ (log (+ 1 (* (- (exp z) 1) y))) (* t x)) (log (+ 1 (* (- (exp z) 1) y))) (* (- (exp z) 1) y) (- (exp z) 1) z y (* t x) 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) (* (/ (- (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))) (- 1 y) 1 (* y (exp z)) (+ (* z y) y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (+ (* (+ (* (+ (* 1/6 (* z y)) (* 1/2 y)) z) y) z) 1) (+ (* (+ (* 1/6 (* z y)) (* 1/2 y)) z) y) (+ (* 1/6 (* z y)) (* 1/2 y)) 1/6 (* 1/2 y) 1/2) |
| 45.0ms | t | @ | inf | ((- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (neg x) (/ (log (+ 1 (* (- (exp z) 1) y))) (* t x))) x) (neg x) x (/ (log (+ 1 (* (- (exp z) 1) y))) (* t x)) (log (+ 1 (* (- (exp z) 1) y))) (* (- (exp z) 1) y) (- (exp z) 1) z y (* t x) 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) (* (/ (- (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))) (- 1 y) 1 (* y (exp z)) (+ (* z y) y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (+ (* (+ (* (+ (* 1/6 (* z y)) (* 1/2 y)) z) y) z) 1) (+ (* (+ (* 1/6 (* z y)) (* 1/2 y)) z) y) (+ (* 1/6 (* z y)) (* 1/2 y)) 1/6 (* 1/2 y) 1/2) |
| 30.0ms | t | @ | -inf | ((- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (neg x) (/ (log (+ 1 (* (- (exp z) 1) y))) (* t x))) x) (neg x) x (/ (log (+ 1 (* (- (exp z) 1) y))) (* t x)) (log (+ 1 (* (- (exp z) 1) y))) (* (- (exp z) 1) y) (- (exp z) 1) z y (* t x) 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) (* (/ (- (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))) (- 1 y) 1 (* y (exp z)) (+ (* z y) y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (+ (* (+ (* (+ (* 1/6 (* z y)) (* 1/2 y)) z) y) z) 1) (+ (* (+ (* 1/6 (* z y)) (* 1/2 y)) z) y) (+ (* 1/6 (* z y)) (* 1/2 y)) 1/6 (* 1/2 y) 1/2) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 693 | 3434 |
| 1 | 2385 | 3167 |
| 0 | 8563 | 2715 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t)) |
(+ x (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t))) |
(* -1 x) |
x |
(/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)) |
(* t x) |
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x))))) |
(* x (+ 1 (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) (* t x))))) |
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) |
(* -1 (* x (- (/ (log (+ 1 (* y (- (exp z) 1)))) (* 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)))) |
(+ x (* -1 (/ (* y (- (exp z) 1)) t))) |
(+ x (* y (+ (* -1 (/ (- (exp z) 1) t)) (* 1/2 (/ (* y (pow (- (exp z) 1) 2)) t))))) |
(+ x (* y (+ (* -1 (/ (- (exp z) 1) t)) (* y (+ (* -1/3 (/ (* y (pow (- (exp z) 1) 3)) t)) (* 1/2 (/ (pow (- (exp z) 1) 2) t))))))) |
(/ (* y (- (exp z) 1)) (* t x)) |
(* y (- (+ (* -1/2 (/ (* y (pow (- (exp z) 1) 2)) (* t x))) (/ (exp z) (* t x))) (/ 1 (* t x)))) |
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) (* t x))) (* 1/3 (/ (* y (pow (- (exp z) 1) 3)) (* t x))))) (/ (exp z) (* t x))) (/ 1 (* t x)))) |
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) (* t x))) (* y (+ (* -1/4 (/ (* y (pow (- (exp z) 1) 4)) (* t x))) (* 1/3 (/ (pow (- (exp z) 1) 3) (* t x))))))) (/ (exp z) (* t x))) (/ 1 (* t x)))) |
(* y (- (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 |
(/ (* y (- (exp z) 1)) t) |
(* y (- (+ (* -1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ (exp z) t)) (/ 1 t))) |
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) t)) (* 1/3 (/ (* y (pow (- (exp z) 1) 3)) t)))) (/ (exp z) t)) (/ 1 t))) |
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) t)) (* y (+ (* -1/4 (/ (* y (pow (- (exp z) 1) 4)) t)) (* 1/3 (/ (pow (- (exp z) 1) 3) t)))))) (/ (exp z) t)) (/ 1 t))) |
(* y z) |
1 |
(+ 1 (* y (- (exp z) 1))) |
(+ 1 (* -1 y)) |
(* y (exp z)) |
(* y (+ 1 z)) |
(+ 1 (* y (* z (+ 1 (* z (+ 1/2 (* 1/6 z))))))) |
(* y (+ 1 (* z (+ 1/2 (* 1/6 z))))) |
(* y (+ 1/2 (* 1/6 z))) |
(* 1/2 y) |
(- 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))))) |
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(/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) (* t x)) |
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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))) |
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(* y (- (+ (exp z) (/ 1 y)) 1)) |
(* -1 y) |
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(- x (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
(- (+ x (/ 1 (* t (* y (+ 1 (* -1 (exp z))))))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
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(+ x (* -1 (/ (+ (log (* -1 (- (exp z) 1))) (* -1 (log (/ -1 y)))) t))) |
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(+ x (+ (* -1 (/ (+ (log (* -1 (- (exp z) 1))) (* -1 (log (/ -1 y)))) t)) (* -1 (/ (- (/ 1 (* t (- (exp z) 1))) (* 1/2 (/ 1 (* t (* y (pow (- (exp z) 1) 2)))))) y)))) |
(+ x (+ (* -1 (/ (+ (log (* -1 (- (exp z) 1))) (* -1 (log (/ -1 y)))) t)) (* -1 (/ (+ (* -1 (/ (- (* 1/2 (/ 1 (* t (pow (- (exp z) 1) 2)))) (* 1/3 (/ 1 (* t (* y (pow (- (exp z) 1) 3)))))) y)) (/ 1 (* t (- (exp z) 1)))) y)))) |
(/ (+ (log (* -1 (- (exp z) 1))) (* -1 (log (/ -1 y)))) (* t x)) |
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(/ (+ (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)))) |
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(* -1 (* y (+ 1 (* -1 (exp z))))) |
(* -1 (* y (- (+ 1 (* -1 (exp z))) (/ 1 y)))) |
(* -1 (* y (- 1 (/ 1 y)))) |
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(* -1 (* y (* z (- (* z (- (* -1/6 z) 1/2)) 1)))) |
(* -1 (* y (- (* z (- (* z (- (* -1/6 z) 1/2)) 1)) (/ 1 y)))) |
(* -1 (* y (- (* z (- (* -1/6 z) 1/2)) 1))) |
(* -1 (* y (- (* -1/6 z) 1/2))) |
(+ 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)))) |
(+ 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)) |
(* z (+ (* 1/2 (/ (* z (+ y (* -1 (pow y 2)))) (* t x))) (/ y (* t x)))) |
(* z (+ (* z (+ (* 1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) (* t x))) (* 1/2 (/ (+ y (* -1 (pow y 2))) (* t x))))) (/ y (* t x)))) |
(* z (+ (* z (+ (* 1/2 (/ (+ y (* -1 (pow y 2))) (* t x))) (* z (+ (* 1/24 (/ (* z (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3))))))) (* t x))) (* 1/6 (/ (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))) (* t x))))))) (/ y (* t x)))) |
(* z (+ 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))))))) |
z |
(* z (+ 1 (* 1/2 z))) |
(* z (+ 1 (* z (+ 1/2 (* 1/6 z))))) |
(* z (+ 1 (* z (+ 1/2 (* z (+ 1/6 (* 1/24 z))))))) |
(/ (* y z) t) |
(* z (+ (* 1/2 (/ (* z (+ y (* -1 (pow y 2)))) t)) (/ y t))) |
(* z (+ (* z (+ (* 1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) t)) (* 1/2 (/ (+ y (* -1 (pow y 2))) t)))) (/ y t))) |
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(* z (+ (* 1/2 (/ (* 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)) |
(+ 1 (* z (+ y (* 1/2 (* y z))))) |
(+ 1 (* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y)))))) |
(+ y (* y z)) |
(+ y (* z (+ y (* 1/2 (* y z))))) |
(+ y (* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y)))))) |
(+ y (* 1/2 (* y z))) |
(+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y)))) |
(+ (* 1/6 (* y z)) (* 1/2 y)) |
(log (+ 1 (* y (- (exp z) 1)))) |
(- (exp z) 1) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(log (- (+ 1 (* y (exp z))) y)) |
(/ (- (exp z) 1) t) |
(- (+ 1 (* y (exp z))) y) |
(* z (+ y (/ y z))) |
(* 1/6 (* y (pow z 3))) |
(* (pow z 3) (+ (* 1/6 y) (* 1/2 (/ y z)))) |
(* (pow z 3) (+ (* 1/6 y) (+ (* 1/2 (/ y z)) (/ y (pow z 2))))) |
(* (pow z 3) (+ (* 1/6 y) (+ (* 1/2 (/ y z)) (+ (/ 1 (pow z 3)) (/ y (pow z 2)))))) |
(* 1/6 (* y (pow z 2))) |
(* (pow z 2) (+ (* 1/6 y) (* 1/2 (/ y z)))) |
(* (pow z 2) (+ (* 1/6 y) (+ (* 1/2 (/ y z)) (/ y (pow z 2))))) |
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(* z (+ (* 1/6 y) (* 1/2 (/ y z)))) |
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(* -1 (* (pow z 3) (+ (* -1/2 (/ y z)) (* -1/6 y)))) |
(* -1 (* (pow z 3) (+ (* -1 (/ (+ (* 1/2 y) (/ y z)) z)) (* -1/6 y)))) |
(* -1 (* (pow z 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1 y) (/ 1 z)) z)) (* 1/2 y)) z)) (* -1/6 y)))) |
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (/ y z)) (* -1/2 y)) z)) (* 1/6 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) 1))))) (* t x)) t) |
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 (/ (log (+ 1 (* y (- (exp z) 1)))) t)) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)) |
(+ x (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t))) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(* -1 x) |
(neg.f64 x) |
x |
(/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) |
(* t x) |
(*.f64 t 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) |
(* x (+ 1 (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) (* t x))))) |
(fma.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) (neg.f64 x) x) |
(* -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)) |
(* -1 (* x (- (/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)) 1))) |
(*.f64 (-.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) #s(literal 1 binary64)) (neg.f64 x)) |
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(*.f64 (fma.f64 #s(literal 1/6 binary64) y (fma.f64 (/.f64 y z) #s(literal 1/2 binary64) (/.f64 y (*.f64 z z)))) (pow.f64 z #s(literal 3 binary64))) |
(* (pow z 3) (+ (* 1/6 y) (+ (* 1/2 (/ y z)) (+ (/ 1 (pow z 3)) (/ y (pow z 2)))))) |
(*.f64 (+.f64 (fma.f64 #s(literal 1/6 binary64) y (fma.f64 (/.f64 y z) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))))) (/.f64 y (*.f64 z z))) (pow.f64 z #s(literal 3 binary64))) |
(* 1/6 (* y (pow z 2))) |
(*.f64 (*.f64 (*.f64 z z) y) #s(literal 1/6 binary64)) |
(* (pow z 2) (+ (* 1/6 y) (* 1/2 (/ y z)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 y z) #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y)) z) z) |
(* (pow z 2) (+ (* 1/6 y) (+ (* 1/2 (/ y z)) (/ y (pow z 2))))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y (fma.f64 (/.f64 y z) #s(literal 1/2 binary64) (/.f64 y (*.f64 z z)))) z) z) |
(* 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 (* z (+ (* -1 y) (* -1 (/ y z))))) |
(*.f64 (neg.f64 z) (neg.f64 (+.f64 (/.f64 y z) y))) |
(* -1 (* (pow z 3) (+ (* -1/2 (/ y z)) (* -1/6 y)))) |
(*.f64 (neg.f64 (fma.f64 (/.f64 y z) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) y))) (pow.f64 z #s(literal 3 binary64))) |
(* -1 (* (pow z 3) (+ (* -1 (/ (+ (* 1/2 y) (/ y z)) z)) (* -1/6 y)))) |
(*.f64 (neg.f64 (fma.f64 #s(literal -1/6 binary64) y (/.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 y z)) (neg.f64 z)))) (pow.f64 z #s(literal 3 binary64))) |
(* -1 (* (pow z 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1 y) (/ 1 z)) z)) (* 1/2 y)) z)) (* -1/6 y)))) |
(*.f64 (neg.f64 (pow.f64 z #s(literal 3 binary64))) (fma.f64 #s(literal -1/6 binary64) y (/.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (-.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) z)) (neg.f64 z))) (neg.f64 z)))) |
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (/ y z)) (* -1/2 y)) z)) (* 1/6 y))) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) y (/.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (neg.f64 y) z)) (neg.f64 z))) (*.f64 z z)) |
(* -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) 1))))) (* t x)) t) |
(/.f64 (fma.f64 t x (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))) t) |
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 | 45 | 382 |
| 0 | 76 | 382 |
| 1 | 300 | 375 |
| 2 | 2350 | 375 |
| 0 | 8568 | 358 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) x)) |
(fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) x) |
(neg.f64 x) |
x |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) |
(log1p.f64 (*.f64 (expm1.f64 z) y)) |
(*.f64 (expm1.f64 z) y) |
(expm1.f64 z) |
z |
y |
(*.f64 t x) |
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 #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 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) #s(approx (* y (exp z)) (fma.f64 z y y)))) t)) |
(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) #s(approx (* y (exp z)) (fma.f64 z y y)))) t) |
(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) #s(approx (* y (exp z)) (fma.f64 z y y)))) |
(+.f64 (-.f64 #s(literal 1 binary64) y) #s(approx (* y (exp z)) (fma.f64 z y y))) |
(-.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
#s(approx (* y (exp z)) (fma.f64 z y y)) |
(fma.f64 z y 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 (+ (- 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 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
| Outputs |
|---|
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) (neg.f64 x) x)) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) (neg.f64 x))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) x) #s(literal 2 binary64)) (*.f64 x x)))) (neg.f64 (neg.f64 (-.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) (neg.f64 x)) x)))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) (neg.f64 x)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) (neg.f64 x))) (pow.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) x) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) x) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) (neg.f64 x)) x)) (*.f64 (-.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) (neg.f64 x)) x) (*.f64 x x))) (*.f64 (-.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) (neg.f64 x)) x) (-.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) (neg.f64 x)) x))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) (neg.f64 x)) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) (neg.f64 x))) (pow.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) x) #s(literal 2 binary64))) (*.f64 (fma.f64 x (-.f64 x (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) (neg.f64 x))) (pow.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) x) #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (fma.f64 x (-.f64 x (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) (neg.f64 x))) (pow.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) x) #s(literal 2 binary64))) (fma.f64 x (-.f64 x (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) (neg.f64 x))) (pow.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) x) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) x) #s(literal 2 binary64))) (-.f64 x (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) (neg.f64 x)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) x) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) (neg.f64 x)) x))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) (neg.f64 x)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) x) #s(literal 2 binary64)) (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) (*.f64 (neg.f64 x) x)))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) (neg.f64 x)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) (neg.f64 x))) (pow.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) x) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) x) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) (neg.f64 x)) x)) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) (neg.f64 x)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) x) #s(literal 2 binary64)) (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) (*.f64 (neg.f64 x) x))))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) (neg.f64 x)) #s(literal 3 binary64))) (fma.f64 x (-.f64 x (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) (neg.f64 x))) (pow.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) x) #s(literal 2 binary64)))) |
(fma.f64 (/.f64 (neg.f64 x) t) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) x) x) |
(fma.f64 (/.f64 (neg.f64 x) x) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) x) |
(fma.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) (neg.f64 x) x) |
(fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) x) |
(fma.f64 x (neg.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x))) x) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) (neg.f64 x)))) (/.f64 (pow.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) x) #s(literal 2 binary64)) (-.f64 x (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) (neg.f64 x))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) x) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) (neg.f64 x)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) (neg.f64 x)) x))) |
(-.f64 x (*.f64 (neg.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x))) (neg.f64 x))) |
(-.f64 x (*.f64 (neg.f64 (neg.f64 x)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)))) |
(-.f64 x (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) x)) |
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) (neg.f64 x)) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) (neg.f64 x))) (pow.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) (neg.f64 x))) (pow.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) x) #s(literal 2 binary64))))) |
(+.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) (neg.f64 x)) x) |
(+.f64 x (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) (neg.f64 x))) |
(neg.f64 x) |
x |
(/.f64 (neg.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) x)) (neg.f64 t)) |
(/.f64 (neg.f64 (neg.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))))) (neg.f64 (neg.f64 (*.f64 (neg.f64 x) t)))) |
(/.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) x) t) |
(/.f64 (neg.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) (neg.f64 x)) |
(/.f64 (neg.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))) (neg.f64 (*.f64 (neg.f64 x) t))) |
(/.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) x) |
(/.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) (*.f64 (neg.f64 x) t)) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) |
(neg.f64 (/.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) (*.f64 t x))) |
(neg.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 (neg.f64 x) t))) |
(-.f64 (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (expm1.f64 z) y) #s(literal 2 binary64)))) (*.f64 t x)) (/.f64 (log1p.f64 (*.f64 (neg.f64 y) (expm1.f64 z))) (*.f64 t x))) |
(-.f64 (/.f64 (log1p.f64 (pow.f64 (*.f64 (expm1.f64 z) y) #s(literal 3 binary64))) (*.f64 t x)) (/.f64 (log1p.f64 (*.f64 (*.f64 (expm1.f64 z) y) (-.f64 (*.f64 (expm1.f64 z) y) #s(literal 1 binary64)))) (*.f64 t x))) |
(log1p.f64 (*.f64 (neg.f64 (neg.f64 (expm1.f64 z))) y)) |
(log1p.f64 (*.f64 (expm1.f64 z) y)) |
(-.f64 (log.f64 (-.f64 (pow.f64 (*.f64 (expm1.f64 z) y) #s(literal 2 binary64)) #s(literal 1 binary64))) (log.f64 (-.f64 (*.f64 (expm1.f64 z) y) #s(literal 1 binary64)))) |
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (*.f64 (expm1.f64 z) y) #s(literal 3 binary64))))) (log1p.f64 (+.f64 (pow.f64 (*.f64 (expm1.f64 z) y) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (expm1.f64 z) y)))))) |
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (expm1.f64 z) y) #s(literal 2 binary64))))) (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 z) y))))) |
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (expm1.f64 z) y) #s(literal 3 binary64)) #s(literal 1 binary64)))) (log.f64 (neg.f64 (fma.f64 (*.f64 (expm1.f64 z) y) (-.f64 (*.f64 (expm1.f64 z) y) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (expm1.f64 z) y) #s(literal 2 binary64)))) (log1p.f64 (*.f64 (neg.f64 y) (expm1.f64 z)))) |
(-.f64 (log1p.f64 (pow.f64 (*.f64 (expm1.f64 z) y) #s(literal 3 binary64))) (log.f64 (+.f64 (pow.f64 (*.f64 (expm1.f64 z) y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 z) y))))) |
(-.f64 (log1p.f64 (pow.f64 (*.f64 (expm1.f64 z) y) #s(literal 3 binary64))) (log1p.f64 (*.f64 (*.f64 (expm1.f64 z) y) (-.f64 (*.f64 (expm1.f64 z) y) #s(literal 1 binary64))))) |
(log.f64 (fma.f64 (expm1.f64 z) y #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (expm1.f64 z)) y) |
(*.f64 (*.f64 (expm1.f64 z) y) #s(literal 1 binary64)) |
(*.f64 (expm1.f64 z) y) |
(*.f64 y (expm1.f64 z)) |
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z |
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(/.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z) #s(literal 3 binary64)) (fma.f64 y (-.f64 y (*.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z)) (pow.f64 (*.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z) #s(literal 2 binary64))) (*.f64 (fma.f64 y (-.f64 y (*.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z)) (pow.f64 (*.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z) #s(literal 2 binary64))) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (fma.f64 y (-.f64 y (*.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z)) (pow.f64 (*.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z) #s(literal 2 binary64))) (fma.f64 y (-.f64 y (*.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z)) (pow.f64 (*.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z) #s(literal 2 binary64))) (-.f64 y (*.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z) #s(literal 2 binary64)) (*.f64 y y))) (neg.f64 (-.f64 (*.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z) y))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (-.f64 (pow.f64 (*.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z) y))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (-.f64 y (*.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z)) (pow.f64 (*.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z) #s(literal 2 binary64)) (*.f64 y y)) (-.f64 (*.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z) y)) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (-.f64 (pow.f64 (*.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z) y)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (-.f64 y (*.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z)) (pow.f64 (*.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z) #s(literal 2 binary64)))) |
(fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z y) |
(fma.f64 z (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) y) |
(-.f64 (/.f64 (*.f64 y y) (-.f64 y (*.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z))) (/.f64 (pow.f64 (*.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z) #s(literal 2 binary64)) (-.f64 y (*.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z) y)) (/.f64 (*.f64 y y) (-.f64 (*.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z) y))) |
(-.f64 y (*.f64 (neg.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)))) z)) |
(-.f64 y (*.f64 (neg.f64 z) (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z) #s(literal 3 binary64)) (fma.f64 y (-.f64 y (*.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z)) (pow.f64 (*.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z) #s(literal 2 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y (*.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z)) (pow.f64 (*.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z) #s(literal 2 binary64))))) |
(+.f64 (*.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z) y) |
(+.f64 y (*.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z)) |
(*.f64 y (-.f64 (*.f64 #s(literal 1/6 binary64) z) #s(literal -1/2 binary64))) |
(*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) |
(*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) z))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y y)) (*.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))))) (neg.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/6 binary64) (*.f64 z y))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64))) (*.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 z y)) (*.f64 #s(literal -1/2 binary64) y)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (*.f64 y y))))) (neg.f64 (neg.f64 (*.f64 y (-.f64 (*.f64 #s(literal 1/6 binary64) z) #s(literal 1/2 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)))))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (-.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/6 binary64) (*.f64 z y)))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (*.f64 y (-.f64 (*.f64 #s(literal 1/6 binary64) z) #s(literal 1/2 binary64)))) (*.f64 (*.f64 y (-.f64 (*.f64 #s(literal 1/6 binary64) z) #s(literal 1/2 binary64))) (*.f64 #s(literal 1/4 binary64) (*.f64 y y)))) (*.f64 (*.f64 y (-.f64 (*.f64 #s(literal 1/6 binary64) z) #s(literal 1/2 binary64))) (*.f64 y (-.f64 (*.f64 #s(literal 1/6 binary64) z) #s(literal 1/2 binary64))))) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (-.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/6 binary64) (*.f64 z y))))) (*.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (-.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/6 binary64) (*.f64 z y))))) (*.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64))))) (*.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (-.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/6 binary64) (*.f64 z y))))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (-.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/6 binary64) (*.f64 z y))))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y y)) (*.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))) (-.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/6 binary64) (*.f64 z y)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64))) (*.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 z y)) (*.f64 #s(literal -1/2 binary64) y))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (*.f64 y y)))) (neg.f64 (*.f64 y (-.f64 (*.f64 #s(literal 1/6 binary64) z) #s(literal 1/2 binary64))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (-.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 z y)) #s(literal 1/2 binary64)) y))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (-.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/6 binary64) (*.f64 z y))))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (*.f64 y y))) (*.f64 y (-.f64 (*.f64 #s(literal 1/6 binary64) z) #s(literal 1/2 binary64)))) |
(/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (-.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 z y)) #s(literal 1/2 binary64)) y)))) |
(/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (-.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/6 binary64) (*.f64 z y)))))) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) y) z (*.f64 #s(literal 1/2 binary64) y)) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) z) y (*.f64 #s(literal 1/2 binary64) y)) |
(fma.f64 #s(literal 1/2 binary64) y (*.f64 #s(literal 1/6 binary64) (*.f64 z y))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal 1/2 binary64) y)) |
(fma.f64 (*.f64 z y) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) y)) |
(fma.f64 z (*.f64 y #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) y)) |
(fma.f64 y (*.f64 #s(literal 1/6 binary64) z) (*.f64 #s(literal 1/2 binary64) y)) |
(fma.f64 y #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 z y))) |
(-.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y y)) (-.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/6 binary64) (*.f64 z y)))) (/.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/6 binary64) (*.f64 z y))))) |
(-.f64 (/.f64 (*.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 z y)) (*.f64 #s(literal -1/2 binary64) y))))) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 z y)) (*.f64 #s(literal -1/2 binary64) y)))))) |
(-.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (*.f64 y (-.f64 (*.f64 #s(literal 1/6 binary64) z) #s(literal 1/2 binary64)))) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y y)) (*.f64 y (-.f64 (*.f64 #s(literal 1/6 binary64) z) #s(literal 1/2 binary64))))) |
(-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 z y)) (*.f64 (neg.f64 y) #s(literal 1/2 binary64))) |
(-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 z y)) (*.f64 #s(literal -1/2 binary64) y)) |
(-.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 (neg.f64 (*.f64 #s(literal 1/6 binary64) z)) y)) |
(-.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal -1/6 binary64) (*.f64 z y))) |
(-.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 (neg.f64 (*.f64 z y)) #s(literal 1/6 binary64))) |
(+.f64 (/.f64 (*.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (-.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/6 binary64) (*.f64 z y)))))) (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (-.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/6 binary64) (*.f64 z y))))))) |
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 z y)) (*.f64 #s(literal 1/2 binary64) y)) |
(+.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/6 binary64) (*.f64 z y))) |
#s(literal 1/6 binary64) |
(*.f64 #s(literal 1/2 binary64) y) |
(*.f64 y #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
Compiled 23 861 to 3 134 computations (86.9% saved)
21 alts after pruning (20 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 551 | 13 | 564 |
| Fresh | 1 | 7 | 8 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 556 | 21 | 577 |
| Status | Accuracy | Program |
|---|---|---|
| 10.3% | (-.f64 x (/.f64 (log.f64 (+.f64 #s(approx (- 1 y) (neg.f64 y)) #s(approx (* y (exp z)) (fma.f64 z y y)))) t)) | |
| 71.5% | (-.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)) | |
| 75.5% | (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t)) | |
| 38.8% | (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))) t)) | |
| ▶ | 32.9% | (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* (+ (* 1/6 (* z y)) (* 1/2 y)) z) y) z) 1) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z) y)))) t)) |
| 74.7% | (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t)) | |
| ▶ | 85.5% | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t)) |
| ✓ | 74.4% | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) |
| 64.3% | (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 y y (neg.f64 y)) z) #s(literal -1/2 binary64) y) t) z))) | |
| 66.7% | (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (-.f64 (*.f64 (exp.f64 z) t) (*.f64 t #s(literal 1 binary64))) (*.f64 t t)) y))) | |
| ▶ | 69.0% | (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) t) y))) |
| ▶ | 73.9% | (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y))) |
| 70.5% | (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) t) z (/.f64 #s(literal 1 binary64) t)) z)) y))) | |
| 71.9% | (-.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))) | |
| 70.0% | (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp z) 1) t) y) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) z y) t) z)))) | |
| 84.5% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (/.f64 (neg.f64 x) t) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) x) x)) | |
| ▶ | 95.7% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) x) t) x)) |
| 72.6% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) y)) (*.f64 t x)) x)) | |
| 73.0% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (* t x)) (/.f64 (/.f64 (*.f64 z y) t) x)) x)) | |
| 74.8% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (* t x)) (*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) y) t) (/.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) x) (/.f64 (expm1.f64 z) (*.f64 t x))) y)) x)) | |
| 26.7% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t))) |
Compiled 1 163 to 846 computations (27.3% saved)
| Inputs |
|---|
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) x) t) x)) |
(fma.f64 (neg.f64 x) (/.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) x) t) x) |
(neg.f64 x) |
x |
(/.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) x) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) x) |
(log1p.f64 (*.f64 (expm1.f64 z) y)) |
(*.f64 (expm1.f64 z) y) |
(expm1.f64 z) |
z |
y |
t |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y))) |
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)) |
(*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y) |
#s(approx (/ (- (exp z) 1) t) (/.f64 z t)) |
(/.f64 z t) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) t) y))) |
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) t) y)) |
(*.f64 (/.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) t) y) |
(/.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) t) |
#s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) |
#s(literal 1/6 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(-.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 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* (+ (* 1/6 (* z y)) (* 1/2 y)) z) y) z) 1) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z) y)))) t)) |
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* (+ (* 1/6 (* z y)) (* 1/2 y)) z) y) z) 1) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z) y)))) t) |
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* (+ (* 1/6 (* z y)) (* 1/2 y)) z) y) z) 1) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z) y)))) |
#s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* (+ (* 1/6 (* z y)) (* 1/2 y)) z) y) z) 1) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z) y))) |
#s(approx (+ (* (+ (* (+ (* 1/6 (* z y)) (* 1/2 y)) z) y) z) 1) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z) y)) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z) y) |
| Outputs |
|---|
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t)) |
(+ x (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t))) |
(* -1 x) |
x |
(/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)) |
(/ (log (+ 1 (* y (- (exp z) 1)))) x) |
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x))))) |
(* x (+ 1 (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) (* t x))))) |
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) |
(* -1 (* x (- (/ (log (+ 1 (* y (- (exp z) 1)))) (* 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)))) |
(+ x (* -1 (/ (* y (- (exp z) 1)) t))) |
(+ x (* y (+ (* -1 (/ (- (exp z) 1) t)) (* 1/2 (/ (* y (pow (- (exp z) 1) 2)) t))))) |
(+ x (* y (+ (* -1 (/ (- (exp z) 1) t)) (* y (+ (* -1/3 (/ (* y (pow (- (exp z) 1) 3)) t)) (* 1/2 (/ (pow (- (exp z) 1) 2) t))))))) |
(/ (* y (- (exp z) 1)) (* t x)) |
(* y (- (+ (* -1/2 (/ (* y (pow (- (exp z) 1) 2)) (* t x))) (/ (exp z) (* t x))) (/ 1 (* t x)))) |
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) (* t x))) (* 1/3 (/ (* y (pow (- (exp z) 1) 3)) (* t x))))) (/ (exp z) (* t x))) (/ 1 (* t x)))) |
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) (* t x))) (* y (+ (* -1/4 (/ (* y (pow (- (exp z) 1) 4)) (* t x))) (* 1/3 (/ (pow (- (exp z) 1) 3) (* t x))))))) (/ (exp z) (* t x))) (/ 1 (* t x)))) |
(/ (* y (- (exp z) 1)) x) |
(* y (- (+ (* -1/2 (/ (* y (pow (- (exp z) 1) 2)) x)) (/ (exp z) x)) (/ 1 x))) |
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) x)) (* 1/3 (/ (* y (pow (- (exp z) 1) 3)) x)))) (/ (exp z) x)) (/ 1 x))) |
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) x)) (* y (+ (* -1/4 (/ (* y (pow (- (exp z) 1) 4)) x)) (* 1/3 (/ (pow (- (exp z) 1) 3) x)))))) (/ (exp z) x)) (/ 1 x))) |
(* 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 |
(/ (* y (- (exp z) 1)) t) |
(* y (- (+ (* -1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ (exp z) t)) (/ 1 t))) |
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) t)) (* 1/3 (/ (* y (pow (- (exp z) 1) 3)) t)))) (/ (exp z) t)) (/ 1 t))) |
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) t)) (* y (+ (* -1/4 (/ (* y (pow (- (exp z) 1) 4)) t)) (* 1/3 (/ (pow (- (exp z) 1) 3) t)))))) (/ (exp z) t)) (/ 1 t))) |
1 |
(+ 1 (* y (- (exp z) 1))) |
(+ 1 (* y (* z (+ 1 (* z (+ 1/2 (* 1/6 z))))))) |
(* y (* z (+ 1 (* z (+ 1/2 (* 1/6 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))))) |
(+ x (* -1 (/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t))) |
(- (+ x (* -1 (/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t))) (/ 1 (* t (* y (- (exp z) 1))))) |
(- (+ x (+ (* -1 (/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t)) (/ 1/2 (* t (* (pow y 2) (pow (- (exp z) 1) 2)))))) (/ 1 (* t (* y (- (exp z) 1))))) |
(- (+ x (+ (* -1 (/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t)) (* 1/2 (/ 1 (* t (* (pow y 2) (pow (- (exp z) 1) 2))))))) (+ (/ 1 (* t (* y (- (exp z) 1)))) (* 1/3 (/ 1 (* t (* (pow y 3) (pow (- (exp z) 1) 3))))))) |
(/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) (* 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))))))) |
(/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) x) |
(+ (* -1 (/ (log (/ 1 y)) x)) (+ (/ 1 (* x (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) x))) |
(- (+ (* -1 (/ (log (/ 1 y)) x)) (+ (/ 1 (* x (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) x))) (/ 1/2 (* x (* (pow y 2) (pow (- (exp z) 1) 2))))) |
(- (+ (* -1 (/ (log (/ 1 y)) x)) (+ (/ 1 (* x (* y (- (exp z) 1)))) (+ (* 1/3 (/ 1 (* x (* (pow y 3) (pow (- (exp z) 1) 3))))) (/ (log (- (exp z) 1)) x)))) (* 1/2 (/ 1 (* x (* (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))))) |
(/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t) |
(+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t))) |
(- (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t))) (/ 1/2 (* t (* (pow y 2) (pow (- (exp z) 1) 2))))) |
(- (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (+ (* 1/3 (/ 1 (* t (* (pow y 3) (pow (- (exp z) 1) 3))))) (/ (log (- (exp z) 1)) t)))) (* 1/2 (/ 1 (* t (* (pow y 2) (pow (- (exp z) 1) 2)))))) |
(* y (- (+ (exp z) (/ 1 y)) 1)) |
(* y (+ (* z (+ 1 (* z (+ 1/2 (* 1/6 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))) |
(+ x (* -1 (/ (+ (log (* -1 (- (exp z) 1))) (* -1 (log (/ -1 y)))) t))) |
(- (+ x (* -1 (/ (+ (log (* -1 (- (exp z) 1))) (* -1 (log (/ -1 y)))) t))) (/ 1 (* t (* y (- (exp z) 1))))) |
(+ x (+ (* -1 (/ (+ (log (* -1 (- (exp z) 1))) (* -1 (log (/ -1 y)))) t)) (* -1 (/ (- (/ 1 (* t (- (exp z) 1))) (* 1/2 (/ 1 (* t (* y (pow (- (exp z) 1) 2)))))) y)))) |
(+ x (+ (* -1 (/ (+ (log (* -1 (- (exp z) 1))) (* -1 (log (/ -1 y)))) t)) (* -1 (/ (+ (* -1 (/ (- (* 1/2 (/ 1 (* t (pow (- (exp z) 1) 2)))) (* 1/3 (/ 1 (* t (* y (pow (- (exp z) 1) 3)))))) y)) (/ 1 (* t (- (exp z) 1)))) y)))) |
(/ (+ (log (* -1 (- (exp z) 1))) (* -1 (log (/ -1 y)))) (* t x)) |
(+ (* -1 (/ (log (/ -1 y)) (* t x))) (+ (/ 1 (* t (* x (* y (- (exp z) 1))))) (/ (log (* -1 (- (exp z) 1))) (* t x)))) |
(+ (* -1 (/ (log (/ -1 y)) (* t x))) (+ (* -1 (/ (- (* 1/2 (/ 1 (* t (* x (* y (pow (- (exp z) 1) 2)))))) (/ 1 (* t (* x (- (exp z) 1))))) y)) (/ (log (* -1 (- (exp z) 1))) (* t x)))) |
(+ (* -1 (/ (log (/ -1 y)) (* t x))) (+ (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* t (* x (* y (pow (- (exp z) 1) 3)))))) (* 1/2 (/ 1 (* t (* x (pow (- (exp z) 1) 2)))))) y)) (/ 1 (* t (* x (- (exp z) 1))))) y)) (/ (log (* -1 (- (exp z) 1))) (* t x)))) |
(/ (+ (log (* -1 (- (exp z) 1))) (* -1 (log (/ -1 y)))) x) |
(+ (* -1 (/ (log (/ -1 y)) x)) (+ (/ 1 (* x (* y (- (exp z) 1)))) (/ (log (* -1 (- (exp z) 1))) x))) |
(+ (* -1 (/ (log (/ -1 y)) x)) (+ (* -1 (/ (- (* 1/2 (/ 1 (* x (* y (pow (- (exp z) 1) 2))))) (/ 1 (* x (- (exp z) 1)))) y)) (/ (log (* -1 (- (exp z) 1))) x))) |
(+ (* -1 (/ (log (/ -1 y)) x)) (+ (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* x (* y (pow (- (exp z) 1) 3))))) (* 1/2 (/ 1 (* x (pow (- (exp z) 1) 2))))) y)) (/ 1 (* x (- (exp z) 1)))) y)) (/ (log (* -1 (- (exp z) 1))) x))) |
(+ (log (* -1 (- (exp z) 1))) (* -1 (log (/ -1 y)))) |
(+ (log (* -1 (- (exp z) 1))) (+ (* -1 (log (/ -1 y))) (/ 1 (* y (- (exp z) 1))))) |
(+ (log (* -1 (- (exp z) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* 1/2 (/ 1 (* y (pow (- (exp z) 1) 2)))) (/ 1 (- (exp z) 1))) y)))) |
(+ (log (* -1 (- (exp z) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* y (pow (- (exp z) 1) 3)))) (* 1/2 (/ 1 (pow (- (exp z) 1) 2)))) y)) (/ 1 (- (exp z) 1))) y)))) |
(/ (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) t) |
(- (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t)) (/ 1 (* t (* y (+ 1 (* -1 (exp z))))))) |
(+ (* -1 (/ (log (/ -1 y)) t)) (+ (* -1 (/ (+ (* 1/2 (/ 1 (* t (* y (pow (+ 1 (* -1 (exp z))) 2))))) (/ 1 (* t (+ 1 (* -1 (exp z)))))) y)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
(+ (* -1 (/ (log (/ -1 y)) t)) (+ (* -1 (/ (+ (/ 1/3 (* t (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 3)))) (+ (/ 1/2 (* t (* y (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (* t (+ 1 (* -1 (exp z))))))) y)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
(+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) |
(- (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) (/ 1 (* y (+ 1 (* -1 (exp z)))))) |
(+ (log (+ 1 (* -1 (exp z)))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* 1/2 (/ 1 (* y (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (+ 1 (* -1 (exp z))))) y)))) |
(+ (log (+ 1 (* -1 (exp z)))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (/ 1/3 (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 3))) (+ (/ 1/2 (* y (pow (+ 1 (* -1 (exp z))) 2))) (/ 1 (+ 1 (* -1 (exp z)))))) y)))) |
(* -1 (* y (+ 1 (* -1 (exp z))))) |
(* -1 (* y (- (+ 1 (* -1 (exp z))) (/ 1 y)))) |
(* -1 (* y (* z (- (* z (- (* -1/6 z) 1/2)) 1)))) |
(* -1 (* y (- (* z (- (* z (- (* -1/6 z) 1/2)) 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)))) |
(+ 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)) |
(* 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)))) |
(/ (* y z) x) |
(* z (+ (* 1/2 (/ (* z (+ y (* -1 (pow y 2)))) x)) (/ y x))) |
(* z (+ (* z (+ (* 1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) x)) (* 1/2 (/ (+ y (* -1 (pow y 2))) x)))) (/ y x))) |
(* z (+ (* z (+ (* 1/2 (/ (+ y (* -1 (pow y 2))) x)) (* z (+ (* 1/24 (/ (* z (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3))))))) x)) (* 1/6 (/ (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))) x)))))) (/ y x))) |
(* 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))))))) |
z |
(* z (+ 1 (* 1/2 z))) |
(* z (+ 1 (* z (+ 1/2 (* 1/6 z))))) |
(* z (+ 1 (* z (+ 1/2 (* z (+ 1/6 (* 1/24 z))))))) |
(/ (* y z) t) |
(* z (+ (* 1/2 (/ (* z (+ y (* -1 (pow y 2)))) t)) (/ y t))) |
(* z (+ (* z (+ (* 1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) t)) (* 1/2 (/ (+ y (* -1 (pow y 2))) t)))) (/ y t))) |
(* z (+ (* z (+ (* 1/2 (/ (+ y (* -1 (pow y 2))) t)) (* z (+ (* 1/24 (/ (* z (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3))))))) t)) (* 1/6 (/ (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))) t)))))) (/ y t))) |
(* z (+ (* 1/2 (/ (* 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 (* 1/2 z)) |
(+ 1 (* z (+ 1/2 (* 1/6 z)))) |
1/2 |
(+ 1/2 (* 1/6 z)) |
(+ 1 (* y z)) |
(+ 1 (* z (+ y (* 1/2 (* y z))))) |
(+ 1 (* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y)))))) |
(log (+ 1 (* y (- (exp z) 1)))) |
(- (exp z) 1) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/ (- (exp z) 1) t) |
(* 1/6 (pow z 3)) |
(* (pow z 3) (+ 1/6 (* 1/2 (/ 1 z)))) |
(* (pow z 3) (+ 1/6 (+ (* 1/2 (/ 1 z)) (/ 1 (pow z 2))))) |
(* 1/6 (pow z 2)) |
(* (pow z 2) (+ 1/6 (* 1/2 (/ 1 z)))) |
(* (pow z 2) (+ 1/6 (+ (* 1/2 (/ 1 z)) (/ 1 (pow z 2))))) |
(* 1/6 z) |
(* z (+ 1/6 (* 1/2 (/ 1 z)))) |
(log (- (+ 1 (* y (exp z))) y)) |
(- (+ 1 (* y (exp z))) y) |
(* 1/6 (* y (pow z 3))) |
(* (pow z 3) (+ (* 1/6 y) (* 1/2 (/ y z)))) |
(* (pow z 3) (+ (* 1/6 y) (+ (* 1/2 (/ y z)) (/ y (pow z 2))))) |
(* (pow z 3) (+ (* 1/6 y) (+ (* 1/2 (/ y z)) (+ (/ 1 (pow z 3)) (/ y (pow z 2)))))) |
(* -1 (* (pow z 3) (- (* -1 (/ (+ 1/2 (/ 1 z)) z)) 1/6))) |
(* -1 (* (pow z 3) (+ (* -1/2 (/ y z)) (* -1/6 y)))) |
(* -1 (* (pow z 3) (+ (* -1 (/ (+ (* 1/2 y) (/ y z)) z)) (* -1/6 y)))) |
(* -1 (* (pow z 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1 y) (/ 1 z)) z)) (* 1/2 y)) z)) (* -1/6 y)))) |
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) |
(/ (+ (* -1 (log (+ 1 (* y (- (exp z) 1))))) (* t x)) t) |
t |
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 49.0ms | t | @ | inf | ((- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (neg x) (/ (/ (log (+ 1 (* (- (exp z) 1) y))) x) t)) x) (neg x) x (/ (/ (log (+ 1 (* (- (exp z) 1) y))) x) t) (/ (log (+ 1 (* (- (exp z) 1) y))) x) (log (+ 1 (* (- (exp z) 1) y))) (* (- (exp z) 1) y) (- (exp z) 1) z y t (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (exp z) 1) t) y) (/ (- (exp z) 1) t) (/ z t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (exp z) 1) t) y) (/ (- (exp z) 1) t) (- (exp z) 1) (* (+ (* (+ (* 1/6 z) 1/2) z) 1) z) (+ (* (+ (* 1/6 z) 1/2) z) 1) (+ (* 1/6 z) 1/2) 1/6 1/2 1 (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (+ (* (+ (* (+ (* 1/6 (* z y)) (* 1/2 y)) z) y) z) 1) (* (* (+ (* (+ (* 1/6 z) 1/2) z) 1) z) y)) |
| 36.0ms | z | @ | -inf | ((- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (neg x) (/ (/ (log (+ 1 (* (- (exp z) 1) y))) x) t)) x) (neg x) x (/ (/ (log (+ 1 (* (- (exp z) 1) y))) x) t) (/ (log (+ 1 (* (- (exp z) 1) y))) x) (log (+ 1 (* (- (exp z) 1) y))) (* (- (exp z) 1) y) (- (exp z) 1) z y t (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (exp z) 1) t) y) (/ (- (exp z) 1) t) (/ z t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (exp z) 1) t) y) (/ (- (exp z) 1) t) (- (exp z) 1) (* (+ (* (+ (* 1/6 z) 1/2) z) 1) z) (+ (* (+ (* 1/6 z) 1/2) z) 1) (+ (* 1/6 z) 1/2) 1/6 1/2 1 (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (+ (* (+ (* (+ (* 1/6 (* z y)) (* 1/2 y)) z) y) z) 1) (* (* (+ (* (+ (* 1/6 z) 1/2) z) 1) z) y)) |
| 26.0ms | t | @ | -inf | ((- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (neg x) (/ (/ (log (+ 1 (* (- (exp z) 1) y))) x) t)) x) (neg x) x (/ (/ (log (+ 1 (* (- (exp z) 1) y))) x) t) (/ (log (+ 1 (* (- (exp z) 1) y))) x) (log (+ 1 (* (- (exp z) 1) y))) (* (- (exp z) 1) y) (- (exp z) 1) z y t (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (exp z) 1) t) y) (/ (- (exp z) 1) t) (/ z t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (exp z) 1) t) y) (/ (- (exp z) 1) t) (- (exp z) 1) (* (+ (* (+ (* 1/6 z) 1/2) z) 1) z) (+ (* (+ (* 1/6 z) 1/2) z) 1) (+ (* 1/6 z) 1/2) 1/6 1/2 1 (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (+ (* (+ (* (+ (* 1/6 (* z y)) (* 1/2 y)) z) y) z) 1) (* (* (+ (* (+ (* 1/6 z) 1/2) z) 1) z) y)) |
| 22.0ms | y | @ | 0 | ((- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (neg x) (/ (/ (log (+ 1 (* (- (exp z) 1) y))) x) t)) x) (neg x) x (/ (/ (log (+ 1 (* (- (exp z) 1) y))) x) t) (/ (log (+ 1 (* (- (exp z) 1) y))) x) (log (+ 1 (* (- (exp z) 1) y))) (* (- (exp z) 1) y) (- (exp z) 1) z y t (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (exp z) 1) t) y) (/ (- (exp z) 1) t) (/ z t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (exp z) 1) t) y) (/ (- (exp z) 1) t) (- (exp z) 1) (* (+ (* (+ (* 1/6 z) 1/2) z) 1) z) (+ (* (+ (* 1/6 z) 1/2) z) 1) (+ (* 1/6 z) 1/2) 1/6 1/2 1 (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (+ (* (+ (* (+ (* 1/6 (* z y)) (* 1/2 y)) z) y) z) 1) (* (* (+ (* (+ (* 1/6 z) 1/2) z) 1) z) y)) |
| 17.0ms | z | @ | inf | ((- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (neg x) (/ (/ (log (+ 1 (* (- (exp z) 1) y))) x) t)) x) (neg x) x (/ (/ (log (+ 1 (* (- (exp z) 1) y))) x) t) (/ (log (+ 1 (* (- (exp z) 1) y))) x) (log (+ 1 (* (- (exp z) 1) y))) (* (- (exp z) 1) y) (- (exp z) 1) z y t (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (exp z) 1) t) y) (/ (- (exp z) 1) t) (/ z t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (exp z) 1) t) y) (/ (- (exp z) 1) t) (- (exp z) 1) (* (+ (* (+ (* 1/6 z) 1/2) z) 1) z) (+ (* (+ (* 1/6 z) 1/2) z) 1) (+ (* 1/6 z) 1/2) 1/6 1/2 1 (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (+ (* (+ (* (+ (* 1/6 (* z y)) (* 1/2 y)) z) y) z) 1) (* (* (+ (* (+ (* 1/6 z) 1/2) z) 1) z) y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 767 | 3824 |
| 1 | 2587 | 3516 |
| 0 | 8577 | 2999 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t)) |
(+ x (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t))) |
(* -1 x) |
x |
(/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)) |
(/ (log (+ 1 (* y (- (exp z) 1)))) x) |
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x))))) |
(* x (+ 1 (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) (* t x))))) |
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) |
(* -1 (* x (- (/ (log (+ 1 (* y (- (exp z) 1)))) (* 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)))) |
(+ x (* -1 (/ (* y (- (exp z) 1)) t))) |
(+ x (* y (+ (* -1 (/ (- (exp z) 1) t)) (* 1/2 (/ (* y (pow (- (exp z) 1) 2)) t))))) |
(+ x (* y (+ (* -1 (/ (- (exp z) 1) t)) (* y (+ (* -1/3 (/ (* y (pow (- (exp z) 1) 3)) t)) (* 1/2 (/ (pow (- (exp z) 1) 2) t))))))) |
(/ (* y (- (exp z) 1)) (* t x)) |
(* y (- (+ (* -1/2 (/ (* y (pow (- (exp z) 1) 2)) (* t x))) (/ (exp z) (* t x))) (/ 1 (* t x)))) |
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) (* t x))) (* 1/3 (/ (* y (pow (- (exp z) 1) 3)) (* t x))))) (/ (exp z) (* t x))) (/ 1 (* t x)))) |
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) (* t x))) (* y (+ (* -1/4 (/ (* y (pow (- (exp z) 1) 4)) (* t x))) (* 1/3 (/ (pow (- (exp z) 1) 3) (* t x))))))) (/ (exp z) (* t x))) (/ 1 (* t x)))) |
(/ (* y (- (exp z) 1)) x) |
(* y (- (+ (* -1/2 (/ (* y (pow (- (exp z) 1) 2)) x)) (/ (exp z) x)) (/ 1 x))) |
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) x)) (* 1/3 (/ (* y (pow (- (exp z) 1) 3)) x)))) (/ (exp z) x)) (/ 1 x))) |
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) x)) (* y (+ (* -1/4 (/ (* y (pow (- (exp z) 1) 4)) x)) (* 1/3 (/ (pow (- (exp z) 1) 3) x)))))) (/ (exp z) x)) (/ 1 x))) |
(* 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 |
(/ (* y (- (exp z) 1)) t) |
(* y (- (+ (* -1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ (exp z) t)) (/ 1 t))) |
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) t)) (* 1/3 (/ (* y (pow (- (exp z) 1) 3)) t)))) (/ (exp z) t)) (/ 1 t))) |
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) t)) (* y (+ (* -1/4 (/ (* y (pow (- (exp z) 1) 4)) t)) (* 1/3 (/ (pow (- (exp z) 1) 3) t)))))) (/ (exp z) t)) (/ 1 t))) |
1 |
(+ 1 (* y (- (exp z) 1))) |
(+ 1 (* y (* z (+ 1 (* z (+ 1/2 (* 1/6 z))))))) |
(* y (* z (+ 1 (* z (+ 1/2 (* 1/6 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))))) |
(+ x (* -1 (/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t))) |
(- (+ x (* -1 (/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t))) (/ 1 (* t (* y (- (exp z) 1))))) |
(- (+ x (+ (* -1 (/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t)) (/ 1/2 (* t (* (pow y 2) (pow (- (exp z) 1) 2)))))) (/ 1 (* t (* y (- (exp z) 1))))) |
(- (+ x (+ (* -1 (/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t)) (* 1/2 (/ 1 (* t (* (pow y 2) (pow (- (exp z) 1) 2))))))) (+ (/ 1 (* t (* y (- (exp z) 1)))) (* 1/3 (/ 1 (* t (* (pow y 3) (pow (- (exp z) 1) 3))))))) |
(/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) (* 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))))))) |
(/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) x) |
(+ (* -1 (/ (log (/ 1 y)) x)) (+ (/ 1 (* x (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) x))) |
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(- (+ (* -1 (/ (log (/ 1 y)) x)) (+ (/ 1 (* x (* y (- (exp z) 1)))) (+ (* 1/3 (/ 1 (* x (* (pow y 3) (pow (- (exp z) 1) 3))))) (/ (log (- (exp z) 1)) x)))) (* 1/2 (/ 1 (* x (* (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))))) |
(/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t) |
(+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t))) |
(- (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t))) (/ 1/2 (* t (* (pow y 2) (pow (- (exp z) 1) 2))))) |
(- (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (+ (* 1/3 (/ 1 (* t (* (pow y 3) (pow (- (exp z) 1) 3))))) (/ (log (- (exp z) 1)) t)))) (* 1/2 (/ 1 (* t (* (pow y 2) (pow (- (exp z) 1) 2)))))) |
(* y (- (+ (exp z) (/ 1 y)) 1)) |
(* y (+ (* z (+ 1 (* z (+ 1/2 (* 1/6 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))) |
(+ x (* -1 (/ (+ (log (* -1 (- (exp z) 1))) (* -1 (log (/ -1 y)))) t))) |
(- (+ x (* -1 (/ (+ (log (* -1 (- (exp z) 1))) (* -1 (log (/ -1 y)))) t))) (/ 1 (* t (* y (- (exp z) 1))))) |
(+ x (+ (* -1 (/ (+ (log (* -1 (- (exp z) 1))) (* -1 (log (/ -1 y)))) t)) (* -1 (/ (- (/ 1 (* t (- (exp z) 1))) (* 1/2 (/ 1 (* t (* y (pow (- (exp z) 1) 2)))))) y)))) |
(+ x (+ (* -1 (/ (+ (log (* -1 (- (exp z) 1))) (* -1 (log (/ -1 y)))) t)) (* -1 (/ (+ (* -1 (/ (- (* 1/2 (/ 1 (* t (pow (- (exp z) 1) 2)))) (* 1/3 (/ 1 (* t (* y (pow (- (exp z) 1) 3)))))) y)) (/ 1 (* t (- (exp z) 1)))) y)))) |
(/ (+ (log (* -1 (- (exp z) 1))) (* -1 (log (/ -1 y)))) (* t x)) |
(+ (* -1 (/ (log (/ -1 y)) (* t x))) (+ (/ 1 (* t (* x (* y (- (exp z) 1))))) (/ (log (* -1 (- (exp z) 1))) (* t x)))) |
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(/ (+ (log (* -1 (- (exp z) 1))) (* -1 (log (/ -1 y)))) x) |
(+ (* -1 (/ (log (/ -1 y)) x)) (+ (/ 1 (* x (* y (- (exp z) 1)))) (/ (log (* -1 (- (exp z) 1))) x))) |
(+ (* -1 (/ (log (/ -1 y)) x)) (+ (* -1 (/ (- (* 1/2 (/ 1 (* x (* y (pow (- (exp z) 1) 2))))) (/ 1 (* x (- (exp z) 1)))) y)) (/ (log (* -1 (- (exp z) 1))) x))) |
(+ (* -1 (/ (log (/ -1 y)) x)) (+ (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* x (* y (pow (- (exp z) 1) 3))))) (* 1/2 (/ 1 (* x (pow (- (exp z) 1) 2))))) y)) (/ 1 (* x (- (exp z) 1)))) y)) (/ (log (* -1 (- (exp z) 1))) x))) |
(+ (log (* -1 (- (exp z) 1))) (* -1 (log (/ -1 y)))) |
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(+ (log (* -1 (- (exp z) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* y (pow (- (exp z) 1) 3)))) (* 1/2 (/ 1 (pow (- (exp z) 1) 2)))) y)) (/ 1 (- (exp z) 1))) y)))) |
(/ (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) t) |
(- (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t)) (/ 1 (* t (* y (+ 1 (* -1 (exp z))))))) |
(+ (* -1 (/ (log (/ -1 y)) t)) (+ (* -1 (/ (+ (* 1/2 (/ 1 (* t (* y (pow (+ 1 (* -1 (exp z))) 2))))) (/ 1 (* t (+ 1 (* -1 (exp z)))))) y)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
(+ (* -1 (/ (log (/ -1 y)) t)) (+ (* -1 (/ (+ (/ 1/3 (* t (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 3)))) (+ (/ 1/2 (* t (* y (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (* t (+ 1 (* -1 (exp z))))))) y)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
(+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) |
(- (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) (/ 1 (* y (+ 1 (* -1 (exp z)))))) |
(+ (log (+ 1 (* -1 (exp z)))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* 1/2 (/ 1 (* y (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (+ 1 (* -1 (exp z))))) y)))) |
(+ (log (+ 1 (* -1 (exp z)))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (/ 1/3 (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 3))) (+ (/ 1/2 (* y (pow (+ 1 (* -1 (exp z))) 2))) (/ 1 (+ 1 (* -1 (exp z)))))) y)))) |
(* -1 (* y (+ 1 (* -1 (exp z))))) |
(* -1 (* y (- (+ 1 (* -1 (exp z))) (/ 1 y)))) |
(* -1 (* y (* z (- (* z (- (* -1/6 z) 1/2)) 1)))) |
(* -1 (* y (- (* z (- (* z (- (* -1/6 z) 1/2)) 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)))) |
(+ 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)) |
(* 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)))) |
(/ (* y z) x) |
(* z (+ (* 1/2 (/ (* z (+ y (* -1 (pow y 2)))) x)) (/ y x))) |
(* z (+ (* z (+ (* 1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) x)) (* 1/2 (/ (+ y (* -1 (pow y 2))) x)))) (/ y x))) |
(* z (+ (* z (+ (* 1/2 (/ (+ y (* -1 (pow y 2))) x)) (* z (+ (* 1/24 (/ (* z (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3))))))) x)) (* 1/6 (/ (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))) x)))))) (/ y x))) |
(* 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))))))) |
z |
(* z (+ 1 (* 1/2 z))) |
(* z (+ 1 (* z (+ 1/2 (* 1/6 z))))) |
(* z (+ 1 (* z (+ 1/2 (* z (+ 1/6 (* 1/24 z))))))) |
(/ (* y z) t) |
(* z (+ (* 1/2 (/ (* z (+ y (* -1 (pow y 2)))) t)) (/ y t))) |
(* z (+ (* z (+ (* 1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) t)) (* 1/2 (/ (+ y (* -1 (pow y 2))) t)))) (/ y t))) |
(* z (+ (* z (+ (* 1/2 (/ (+ y (* -1 (pow y 2))) t)) (* z (+ (* 1/24 (/ (* z (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3))))))) t)) (* 1/6 (/ (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))) t)))))) (/ y t))) |
(* z (+ (* 1/2 (/ (* 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 (* 1/2 z)) |
(+ 1 (* z (+ 1/2 (* 1/6 z)))) |
1/2 |
(+ 1/2 (* 1/6 z)) |
(+ 1 (* y z)) |
(+ 1 (* z (+ y (* 1/2 (* y z))))) |
(+ 1 (* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y)))))) |
(log (+ 1 (* y (- (exp z) 1)))) |
(- (exp z) 1) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/ (- (exp z) 1) t) |
(* 1/6 (pow z 3)) |
(* (pow z 3) (+ 1/6 (* 1/2 (/ 1 z)))) |
(* (pow z 3) (+ 1/6 (+ (* 1/2 (/ 1 z)) (/ 1 (pow z 2))))) |
(* 1/6 (pow z 2)) |
(* (pow z 2) (+ 1/6 (* 1/2 (/ 1 z)))) |
(* (pow z 2) (+ 1/6 (+ (* 1/2 (/ 1 z)) (/ 1 (pow z 2))))) |
(* 1/6 z) |
(* z (+ 1/6 (* 1/2 (/ 1 z)))) |
(log (- (+ 1 (* y (exp z))) y)) |
(- (+ 1 (* y (exp z))) y) |
(* 1/6 (* y (pow z 3))) |
(* (pow z 3) (+ (* 1/6 y) (* 1/2 (/ y z)))) |
(* (pow z 3) (+ (* 1/6 y) (+ (* 1/2 (/ y z)) (/ y (pow z 2))))) |
(* (pow z 3) (+ (* 1/6 y) (+ (* 1/2 (/ y z)) (+ (/ 1 (pow z 3)) (/ y (pow z 2)))))) |
(* -1 (* (pow z 3) (- (* -1 (/ (+ 1/2 (/ 1 z)) z)) 1/6))) |
(* -1 (* (pow z 3) (+ (* -1/2 (/ y z)) (* -1/6 y)))) |
(* -1 (* (pow z 3) (+ (* -1 (/ (+ (* 1/2 y) (/ y z)) z)) (* -1/6 y)))) |
(* -1 (* (pow z 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1 y) (/ 1 z)) z)) (* 1/2 y)) z)) (* -1/6 y)))) |
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) |
(/ (+ (* -1 (log (+ 1 (* y (- (exp z) 1))))) (* t x)) t) |
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 (/ (log (+ 1 (* y (- (exp z) 1)))) t)) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)) |
(+ x (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t))) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(* -1 x) |
(neg.f64 x) |
x |
(/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) |
(/ (log (+ 1 (* y (- (exp z) 1)))) x) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) 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 (/ (log (+ 1 (* y (- (exp z) 1)))) (* t x))))) |
(fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) x) |
(* -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)) |
(* -1 (* x (- (/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)) 1))) |
(*.f64 (-.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) 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 (*.f64 #s(literal 1/2 binary64) (pow.f64 (expm1.f64 z) #s(literal 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 (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 (/.f64 #s(literal 1 binary64) t) (/.f64 (exp.f64 z) t))) y x) |
(+ x (* -1 (/ (* y (- (exp z) 1)) t))) |
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t))) |
(+ x (* y (+ (* -1 (/ (- (exp z) 1) t)) (* 1/2 (/ (* y (pow (- (exp z) 1) 2)) t))))) |
(fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (expm1.f64 z) #s(literal 2 binary64))) y (neg.f64 (expm1.f64 z))) t) y x) |
(+ x (* y (+ (* -1 (/ (- (exp z) 1) t)) (* y (+ (* -1/3 (/ (* y (pow (- (exp z) 1) 3)) t)) (* 1/2 (/ (pow (- (exp z) 1) 2) t))))))) |
(fma.f64 (fma.f64 (/.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 (expm1.f64 z) (neg.f64 t))) y x) |
(/ (* y (- (exp z) 1)) (* t x)) |
(/.f64 (*.f64 y (/.f64 (expm1.f64 z) t)) x) |
(* y (- (+ (* -1/2 (/ (* y (pow (- (exp z) 1) 2)) (* t x))) (/ (exp z) (* t x))) (/ 1 (* t x)))) |
(*.f64 (fma.f64 (*.f64 y #s(literal -1/2 binary64)) (/.f64 (/.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) t) x) (/.f64 (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 (expm1.f64 z) (*.f64 t x))) y) |
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) (* t x))) (* y (+ (* -1/4 (/ (* y (pow (- (exp z) 1) 4)) (* t x))) (* 1/3 (/ (pow (- (exp z) 1) 3) (* t x))))))) (/ (exp z) (* t x))) (/ 1 (* t x)))) |
(*.f64 (fma.f64 (fma.f64 (/.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)))) (*.f64 t x)) y (*.f64 (/.f64 (/.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) t) x) #s(literal -1/2 binary64))) y (/.f64 (expm1.f64 z) (*.f64 t x))) y) |
(/ (* y (- (exp z) 1)) x) |
(*.f64 y (/.f64 (expm1.f64 z) x)) |
(* y (- (+ (* -1/2 (/ (* y (pow (- (exp z) 1) 2)) x)) (/ (exp z) x)) (/ 1 x))) |
(*.f64 (fma.f64 (*.f64 y #s(literal -1/2 binary64)) (/.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) x) (/.f64 (expm1.f64 z) x)) y) |
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) x)) (* 1/3 (/ (* y (pow (- (exp z) 1) 3)) x)))) (/ (exp z) x)) (/ 1 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)))) x) y (/.f64 (expm1.f64 z) x)) y) |
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) x)) (* y (+ (* -1/4 (/ (* y (pow (- (exp z) 1) 4)) x)) (* 1/3 (/ (pow (- (exp z) 1) 3) x)))))) (/ (exp z) x)) (/ 1 x))) |
(*.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 #s(literal 1/3 binary64) (pow.f64 (expm1.f64 z) #s(literal 3 binary64)))) x) y (*.f64 (/.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) x) #s(literal -1/2 binary64))) y (/.f64 (expm1.f64 z) x)) 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 (*.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 |
(/ (* y (- (exp z) 1)) t) |
(*.f64 y (/.f64 (expm1.f64 z) t)) |
(* y (- (+ (* -1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ (exp z) t)) (/ 1 t))) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) y) (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 (fma.f64 (/.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)))) t) y (*.f64 (/.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) t) #s(literal -1/2 binary64))) y (/.f64 (expm1.f64 z) t)) y) |
1 |
#s(literal 1 binary64) |
(+ 1 (* y (- (exp z) 1))) |
(fma.f64 (expm1.f64 z) y #s(literal 1 binary64)) |
(+ 1 (* y (* z (+ 1 (* z (+ 1/2 (* 1/6 z))))))) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z) y #s(literal 1 binary64)) |
(* y (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) 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 (log.f64 y) (log.f64 (expm1.f64 z))) t) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (expm1.f64 z) y) t)))) |
(- (+ x (/ 1/2 (* t (* (pow y 2) (pow (- (exp z) 1) 2))))) (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t)))) |
(-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) y) y) t)) x) (+.f64 (/.f64 (+.f64 (log.f64 y) (log.f64 (expm1.f64 z))) t) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (expm1.f64 z) y) t)))) |
(- (+ x (* 1/2 (/ 1 (* t (* (pow y 2) (pow (- (exp z) 1) 2)))))) (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (+ (* 1/3 (/ 1 (* t (* (pow y 3) (pow (- (exp z) 1) 3))))) (/ (log (- (exp z) 1)) t))))) |
(-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) y) y) t)) x) (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (*.f64 (expm1.f64 z) y) #s(literal 3 binary64)) t)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (expm1.f64 z) y) t))) (/.f64 (+.f64 (log.f64 y) (log.f64 (expm1.f64 z))) t))) |
(+ x (* -1 (/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t))) |
(-.f64 x (/.f64 (+.f64 (log.f64 y) (log.f64 (expm1.f64 z))) t)) |
(- (+ x (* -1 (/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t))) (/ 1 (* t (* y (- (exp z) 1))))) |
(-.f64 x (+.f64 (/.f64 (+.f64 (log.f64 y) (log.f64 (expm1.f64 z))) t) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (expm1.f64 z) y) t)))) |
(- (+ x (+ (* -1 (/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t)) (/ 1/2 (* t (* (pow y 2) (pow (- (exp z) 1) 2)))))) (/ 1 (* t (* y (- (exp z) 1))))) |
(+.f64 (-.f64 x (/.f64 (+.f64 (log.f64 y) (log.f64 (expm1.f64 z))) t)) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) y) y) t)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (expm1.f64 z) y) t)))) |
(- (+ x (+ (* -1 (/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t)) (* 1/2 (/ 1 (* t (* (pow y 2) (pow (- (exp z) 1) 2))))))) (+ (/ 1 (* t (* y (- (exp z) 1)))) (* 1/3 (/ 1 (* t (* (pow y 3) (pow (- (exp z) 1) 3))))))) |
(+.f64 (-.f64 x (/.f64 (+.f64 (log.f64 y) (log.f64 (expm1.f64 z))) t)) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) y) y) t)) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (*.f64 (expm1.f64 z) y) #s(literal 3 binary64)) t)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (expm1.f64 z) y) t))))) |
(/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) (* t x)) |
(/.f64 (+.f64 (log.f64 y) (log.f64 (expm1.f64 z))) (*.f64 t x)) |
(+ (* -1 (/ (log (/ 1 y)) (* t x))) (+ (/ 1 (* t (* x (* y (- (exp z) 1))))) (/ (log (- (exp z) 1)) (* t x)))) |
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(*.f64 (neg.f64 y) (-.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal -1/2 binary64)) z) #s(literal 1 binary64)) z) (/.f64 #s(literal 1 binary64) y))) |
(+ 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 #s(literal -1/2 binary64) (-.f64 y (*.f64 y y)) (*.f64 (*.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)) t) z) (/.f64 y t)) z x) |
(+ x (* z (+ (* -1 (/ y t)) (* -1/2 (/ (* z (+ y (* -1 (pow y 2)))) t))))) |
(fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 y (*.f64 y y))) z (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 #s(literal -1/2 binary64) (-.f64 y (*.f64 y y)) (*.f64 (*.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)) t) z (/.f64 (neg.f64 y) t)) z x) |
(/ (* y z) (* t x)) |
(/.f64 (/.f64 (*.f64 z y) t) x) |
(* z (+ (* 1/2 (/ (* z (+ y (* -1 (pow y 2)))) (* t x))) (/ y (* t x)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 (-.f64 y (*.f64 y y)) z) #s(literal 1/2 binary64) y) (*.f64 t x)) z) |
(* 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 (fma.f64 (/.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))) (*.f64 t x)) z (/.f64 (/.f64 y 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 (+.f64 (/.f64 (fma.f64 (*.f64 (-.f64 y (*.f64 y y)) z) #s(literal 1/2 binary64) y) (*.f64 t x)) (*.f64 (*.f64 z z) (/.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))) (*.f64 t x)))) z) |
(/ (* y z) x) |
(/.f64 (*.f64 z y) x) |
(* z (+ (* 1/2 (/ (* z (+ y (* -1 (pow y 2)))) x)) (/ y x))) |
(*.f64 (/.f64 (fma.f64 (*.f64 (-.f64 y (*.f64 y y)) z) #s(literal 1/2 binary64) y) x) z) |
(* z (+ (* z (+ (* 1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) x)) (* 1/2 (/ (+ y (* -1 (pow y 2))) x)))) (/ y x))) |
(*.f64 (fma.f64 (/.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))) x) z (/.f64 y x)) z) |
(* z (+ (* z (+ (* 1/2 (/ (+ y (* -1 (pow y 2))) x)) (* z (+ (* 1/24 (/ (* z (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3))))))) x)) (* 1/6 (/ (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))) x)))))) (/ y x))) |
(*.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))) x) z (*.f64 (/.f64 (-.f64 y (*.f64 y y)) x) #s(literal 1/2 binary64))) z (/.f64 y x)) 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)) z) #s(literal 1/2 binary64) 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 (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) z) |
(* z (+ y (* z (+ (* 1/2 (+ y (* -1 (pow y 2)))) (* z (+ (* 1/24 (* z (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3)))))))) (* 1/6 (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (+.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (*.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64))))) y)) z (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) #s(literal 1/6 binary64))) z (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) z y) z) |
(* z (+ y (* 1/2 (* y z)))) |
(*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z) |
(* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/6 binary64) (*.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) |
z |
(* z (+ 1 (* 1/2 z))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) |
(* z (+ 1 (* z (+ 1/2 (* 1/6 z))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z) |
(* z (+ 1 (* z (+ 1/2 (* z (+ 1/6 (* 1/24 z))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z) |
(/ (* 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)) z) #s(literal 1/2 binary64) y) t) z) |
(* z (+ (* z (+ (* 1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) t)) (* 1/2 (/ (+ y (* -1 (pow y 2))) t)))) (/ y t))) |
(*.f64 (fma.f64 (/.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))) t) z (/.f64 y t)) z) |
(* z (+ (* z (+ (* 1/2 (/ (+ y (* -1 (pow y 2))) t)) (* z (+ (* 1/24 (/ (* z (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3))))))) t)) (* 1/6 (/ (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))) t)))))) (/ y t))) |
(*.f64 (fma.f64 (fma.f64 (/.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 y t)) z) |
(* 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 (fma.f64 (/.f64 (fma.f64 (*.f64 z y) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) y)) t) z (/.f64 y t)) z) |
(* z (+ (* z (+ (* 1/2 (/ y t)) (* z (+ (* 1/24 (/ (* y z) t)) (* 1/6 (/ y t)))))) (/ y t))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 z y) (*.f64 #s(literal 1/6 binary64) y)) t) z (*.f64 (/.f64 y t) #s(literal 1/2 binary64))) 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)) t) z) |
(* z (+ (* z (+ (* 1/6 (/ z t)) (* 1/2 (/ 1 t)))) (/ 1 t))) |
(*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) t) z (/.f64 #s(literal 1 binary64) t)) z) |
(* z (+ (* z (+ (* z (+ (* 1/24 (/ z t)) (* 1/6 (/ 1 t)))) (* 1/2 (/ 1 t)))) (/ 1 t))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) t) z (/.f64 #s(literal 1/2 binary64) t)) z (/.f64 #s(literal 1 binary64) t)) z) |
(+ 1 (* 1/2 z)) |
(fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) |
(+ 1 (* z (+ 1/2 (* 1/6 z)))) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/6 z)) |
(fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 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 (fma.f64 (*.f64 z y) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) y)) z y) z #s(literal 1 binary64)) |
(log (+ 1 (* y (- (exp z) 1)))) |
(log1p.f64 (*.f64 (expm1.f64 z) y)) |
(- (exp z) 1) |
(expm1.f64 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) |
(* 1/6 (pow z 3)) |
(*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/6 binary64)) |
(* (pow z 3) (+ 1/6 (* 1/2 (/ 1 z)))) |
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) z) #s(literal -1/6 binary64)) (pow.f64 z #s(literal 3 binary64))) |
(* (pow z 3) (+ 1/6 (+ (* 1/2 (/ 1 z)) (/ 1 (pow z 2))))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal 1/2 binary64) z)) #s(literal -1/6 binary64)) (pow.f64 z #s(literal 3 binary64))) |
(* 1/6 (pow z 2)) |
(*.f64 (*.f64 z z) #s(literal 1/6 binary64)) |
(* (pow z 2) (+ 1/6 (* 1/2 (/ 1 z)))) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) z) #s(literal -1/6 binary64)) z) z) |
(* (pow z 2) (+ 1/6 (+ (* 1/2 (/ 1 z)) (/ 1 (pow z 2))))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal 1/2 binary64) z)) #s(literal -1/6 binary64)) (*.f64 z z)) |
(* 1/6 z) |
(*.f64 #s(literal 1/6 binary64) z) |
(* z (+ 1/6 (* 1/2 (/ 1 z)))) |
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) z) #s(literal -1/6 binary64)) z) |
(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) |
(* 1/6 (* y (pow z 3))) |
(*.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) y) #s(literal 1/6 binary64)) |
(* (pow z 3) (+ (* 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)) (pow.f64 z #s(literal 3 binary64))) |
(* (pow z 3) (+ (* 1/6 y) (+ (* 1/2 (/ y z)) (/ y (pow z 2))))) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) y (fma.f64 (/.f64 y z) #s(literal 1/2 binary64) (/.f64 y (*.f64 z z)))) (pow.f64 z #s(literal 3 binary64))) |
(* (pow z 3) (+ (* 1/6 y) (+ (* 1/2 (/ y z)) (+ (/ 1 (pow z 3)) (/ y (pow z 2)))))) |
(*.f64 (+.f64 (fma.f64 #s(literal 1/6 binary64) y (fma.f64 (/.f64 y z) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))))) (/.f64 y (*.f64 z z))) (pow.f64 z #s(literal 3 binary64))) |
(* -1 (* (pow z 3) (- (* -1 (/ (+ 1/2 (/ 1 z)) z)) 1/6))) |
(*.f64 (neg.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)) z) #s(literal -1 binary64) #s(literal -1/6 binary64))) (pow.f64 z #s(literal 3 binary64))) |
(* -1 (* (pow z 3) (+ (* -1/2 (/ y z)) (* -1/6 y)))) |
(*.f64 (neg.f64 (fma.f64 (/.f64 y z) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) y))) (pow.f64 z #s(literal 3 binary64))) |
(* -1 (* (pow z 3) (+ (* -1 (/ (+ (* 1/2 y) (/ y z)) z)) (* -1/6 y)))) |
(*.f64 (neg.f64 (fma.f64 #s(literal -1/6 binary64) y (/.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 y z)) (neg.f64 z)))) (pow.f64 z #s(literal 3 binary64))) |
(* -1 (* (pow z 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1 y) (/ 1 z)) z)) (* 1/2 y)) z)) (* -1/6 y)))) |
(*.f64 (neg.f64 (pow.f64 z #s(literal 3 binary64))) (fma.f64 #s(literal -1/6 binary64) y (/.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (-.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) z)) (neg.f64 z))) (neg.f64 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) 1))))) (* t x)) t) |
(/.f64 (fma.f64 t x (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))) t) |
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 | 54 | 512 |
| 0 | 81 | 512 |
| 1 | 313 | 497 |
| 2 | 2385 | 497 |
| 0 | 8150 | 475 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) x) t) x)) |
(fma.f64 (neg.f64 x) (/.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) x) t) x) |
(neg.f64 x) |
x |
(/.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) x) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) x) |
(log1p.f64 (*.f64 (expm1.f64 z) y)) |
(*.f64 (expm1.f64 z) y) |
(expm1.f64 z) |
z |
y |
t |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y))) |
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)) |
(*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y) |
#s(approx (/ (- (exp z) 1) t) (/.f64 z t)) |
(/.f64 z t) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) t) y))) |
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) t) y)) |
(*.f64 (/.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) t) y) |
(/.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) t) |
#s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) |
#s(literal 1/6 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(-.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 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* (+ (* 1/6 (* z y)) (* 1/2 y)) z) y) z) 1) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z) y)))) t)) |
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* (+ (* 1/6 (* z y)) (* 1/2 y)) z) y) z) 1) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z) y)))) t) |
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* (+ (* 1/6 (* z y)) (* 1/2 y)) z) y) z) 1) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z) y)))) |
#s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* (+ (* 1/6 (* z y)) (* 1/2 y)) z) y) z) 1) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z) y))) |
#s(approx (+ (* (+ (* (+ (* 1/6 (* z y)) (* 1/2 y)) z) y) z) 1) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z) y)) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z) y) |
| Outputs |
|---|
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) (neg.f64 x) x)) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) (neg.f64 x))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) x) #s(literal 2 binary64)) (*.f64 x x)))) (neg.f64 (neg.f64 (-.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) (neg.f64 x)) x)))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) (neg.f64 x)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) (neg.f64 x))) (pow.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) x) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) x) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) (neg.f64 x)) x)) (*.f64 (-.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) (neg.f64 x)) x) (*.f64 x x))) (*.f64 (-.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) (neg.f64 x)) x) (-.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) (neg.f64 x)) x))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) (neg.f64 x)) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) (neg.f64 x))) (pow.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) x) #s(literal 2 binary64))) (*.f64 (fma.f64 x (-.f64 x (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) (neg.f64 x))) (pow.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) x) #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (fma.f64 x (-.f64 x (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) (neg.f64 x))) (pow.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) x) #s(literal 2 binary64))) (fma.f64 x (-.f64 x (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) (neg.f64 x))) (pow.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) x) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) x) #s(literal 2 binary64))) (-.f64 x (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) (neg.f64 x)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) x) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) (neg.f64 x)) x))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) (neg.f64 x)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) x) #s(literal 2 binary64)) (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) (*.f64 (neg.f64 x) x)))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) (neg.f64 x)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) (neg.f64 x))) (pow.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) x) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) x) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) (neg.f64 x)) x)) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) (neg.f64 x)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) x) #s(literal 2 binary64)) (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) (*.f64 (neg.f64 x) x))))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) (neg.f64 x)) #s(literal 3 binary64))) (fma.f64 x (-.f64 x (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) (neg.f64 x))) (pow.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) x) #s(literal 2 binary64)))) |
(fma.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) (neg.f64 x) x) |
(fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) x) |
(fma.f64 x (neg.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x))) x) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) (neg.f64 x)))) (/.f64 (pow.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) x) #s(literal 2 binary64)) (-.f64 x (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) (neg.f64 x))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) x) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) (neg.f64 x)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) (neg.f64 x)) x))) |
(-.f64 x (*.f64 (neg.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x))) (neg.f64 x))) |
(-.f64 x (*.f64 (neg.f64 (neg.f64 x)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)))) |
(-.f64 x (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) x)) |
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) (neg.f64 x)) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) (neg.f64 x))) (pow.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) (neg.f64 x))) (pow.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) x) #s(literal 2 binary64))))) |
(+.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) (neg.f64 x)) x) |
(+.f64 x (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) (neg.f64 x))) |
(neg.f64 x) |
x |
(/.f64 (neg.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))) (neg.f64 (*.f64 (neg.f64 x) t))) |
(/.f64 (neg.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))) (neg.f64 (neg.f64 (*.f64 t x)))) |
(/.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 x)) (neg.f64 (neg.f64 (neg.f64 t)))) |
(/.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 x)) (neg.f64 t)) |
(/.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) (*.f64 (neg.f64 x) t)) |
(/.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) (neg.f64 (*.f64 t x))) |
(/.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) x) (neg.f64 (neg.f64 t))) |
(/.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) x) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) |
(neg.f64 (/.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 x)) t)) |
(-.f64 (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (expm1.f64 z) y) #s(literal 2 binary64)))) (*.f64 t x)) (/.f64 (log1p.f64 (*.f64 (neg.f64 y) (expm1.f64 z))) (*.f64 t x))) |
(-.f64 (/.f64 (log1p.f64 (pow.f64 (*.f64 (expm1.f64 z) y) #s(literal 3 binary64))) (*.f64 t x)) (/.f64 (log1p.f64 (*.f64 (*.f64 (expm1.f64 z) y) (-.f64 (*.f64 (expm1.f64 z) y) #s(literal 1 binary64)))) (*.f64 t x))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))))) (neg.f64 (neg.f64 (neg.f64 x)))) |
(/.f64 (neg.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) (neg.f64 x)) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) x) |
(neg.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 x))) |
(-.f64 (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (expm1.f64 z) y) #s(literal 2 binary64)))) x) (/.f64 (log1p.f64 (*.f64 (neg.f64 y) (expm1.f64 z))) x)) |
(-.f64 (/.f64 (log1p.f64 (pow.f64 (*.f64 (expm1.f64 z) y) #s(literal 3 binary64))) x) (/.f64 (log1p.f64 (*.f64 (*.f64 (expm1.f64 z) y) (-.f64 (*.f64 (expm1.f64 z) y) #s(literal 1 binary64)))) x)) |
(log1p.f64 (*.f64 (neg.f64 (neg.f64 (expm1.f64 z))) y)) |
(log1p.f64 (*.f64 (expm1.f64 z) y)) |
(-.f64 (log.f64 (-.f64 (pow.f64 (*.f64 (expm1.f64 z) y) #s(literal 2 binary64)) #s(literal 1 binary64))) (log.f64 (-.f64 (*.f64 (expm1.f64 z) y) #s(literal 1 binary64)))) |
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (*.f64 (expm1.f64 z) y) #s(literal 3 binary64))))) (log1p.f64 (+.f64 (pow.f64 (*.f64 (expm1.f64 z) y) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (expm1.f64 z) y)))))) |
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (expm1.f64 z) y) #s(literal 2 binary64))))) (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 z) y))))) |
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (expm1.f64 z) y) #s(literal 3 binary64)) #s(literal 1 binary64)))) (log.f64 (neg.f64 (fma.f64 (*.f64 (expm1.f64 z) y) (-.f64 (*.f64 (expm1.f64 z) y) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (expm1.f64 z) y) #s(literal 2 binary64)))) (log1p.f64 (*.f64 (neg.f64 y) (expm1.f64 z)))) |
(-.f64 (log1p.f64 (pow.f64 (*.f64 (expm1.f64 z) y) #s(literal 3 binary64))) (log.f64 (+.f64 (pow.f64 (*.f64 (expm1.f64 z) y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 z) y))))) |
(-.f64 (log1p.f64 (pow.f64 (*.f64 (expm1.f64 z) y) #s(literal 3 binary64))) (log1p.f64 (*.f64 (*.f64 (expm1.f64 z) y) (-.f64 (*.f64 (expm1.f64 z) y) #s(literal 1 binary64))))) |
(log.f64 (fma.f64 (expm1.f64 z) y #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (expm1.f64 z)) y) |
(*.f64 (*.f64 (expm1.f64 z) y) #s(literal 1 binary64)) |
(*.f64 (expm1.f64 z) y) |
(*.f64 y (expm1.f64 z)) |
(*.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 z) y)) |
(/.f64 (neg.f64 (*.f64 (expm1.f64 (+.f64 z z)) y)) (neg.f64 (-.f64 (exp.f64 z) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (expm1.f64 (*.f64 z #s(literal 3 binary64))) y)) (neg.f64 (fma.f64 (exp.f64 z) (exp.f64 z) (-.f64 (exp.f64 z) #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (*.f64 y (expm1.f64 (+.f64 z z)))) (neg.f64 (-.f64 (exp.f64 z) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (*.f64 y (expm1.f64 (*.f64 z #s(literal 3 binary64))))) (neg.f64 (fma.f64 (exp.f64 z) (exp.f64 z) (-.f64 (exp.f64 z) #s(literal -1 binary64))))) |
(/.f64 (*.f64 (expm1.f64 (+.f64 z z)) y) (-.f64 (exp.f64 z) #s(literal -1 binary64))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 z #s(literal 3 binary64))) y) (fma.f64 (exp.f64 z) (exp.f64 z) (-.f64 (exp.f64 z) #s(literal -1 binary64)))) |
(/.f64 (*.f64 y (expm1.f64 (+.f64 z z))) (-.f64 (exp.f64 z) #s(literal -1 binary64))) |
(/.f64 (*.f64 y (expm1.f64 (*.f64 z #s(literal 3 binary64)))) (fma.f64 (exp.f64 z) (exp.f64 z) (-.f64 (exp.f64 z) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (+.f64 z z)))) (neg.f64 (neg.f64 (-.f64 (exp.f64 z) #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (*.f64 z #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (exp.f64 z) (exp.f64 z) (-.f64 (exp.f64 z) #s(literal -1 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) (-.f64 (exp.f64 z) #s(literal -1 binary64))) (-.f64 (exp.f64 z) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 z) #s(literal -1 binary64)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 z) #s(literal 3 binary64)) (fma.f64 (exp.f64 z) (exp.f64 z) (-.f64 (exp.f64 z) #s(literal -1 binary64)))) (*.f64 (fma.f64 (exp.f64 z) (exp.f64 z) (-.f64 (exp.f64 z) #s(literal -1 binary64))) #s(literal 1 binary64))) (*.f64 (fma.f64 (exp.f64 z) (exp.f64 z) (-.f64 (exp.f64 z) #s(literal -1 binary64))) (fma.f64 (exp.f64 z) (exp.f64 z) (-.f64 (exp.f64 z) #s(literal -1 binary64))))) |
(/.f64 (-.f64 #s(literal 2 binary64) (*.f64 (exp.f64 (neg.f64 z)) #s(literal 2 binary64))) (*.f64 (exp.f64 (neg.f64 z)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (+.f64 (pow.f64 (cosh.f64 z) #s(literal 3 binary64)) (pow.f64 (sinh.f64 z) #s(literal 3 binary64))) #s(literal 2 binary64)) (*.f64 (fma.f64 (cosh.f64 z) (cosh.f64 z) (-.f64 (pow.f64 (sinh.f64 z) #s(literal 2 binary64)) (*.f64 (cosh.f64 z) (sinh.f64 z)))) #s(literal 2 binary64))) (*.f64 (fma.f64 (cosh.f64 z) (cosh.f64 z) (-.f64 (pow.f64 (sinh.f64 z) #s(literal 2 binary64)) (*.f64 (cosh.f64 z) (sinh.f64 z)))) #s(literal 2 binary64))) |
(/.f64 (neg.f64 (expm1.f64 (+.f64 z z))) (neg.f64 (-.f64 (exp.f64 z) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (expm1.f64 (*.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 (exp.f64 z) (exp.f64 z) (-.f64 (exp.f64 z) #s(literal -1 binary64))))) |
(/.f64 (expm1.f64 (+.f64 z z)) (-.f64 (exp.f64 z) #s(literal -1 binary64))) |
(/.f64 (expm1.f64 (*.f64 z #s(literal 3 binary64))) (fma.f64 (exp.f64 z) (exp.f64 z) (-.f64 (exp.f64 z) #s(literal -1 binary64)))) |
(fma.f64 (exp.f64 z) #s(literal 1 binary64) #s(literal -1 binary64)) |
(fma.f64 #s(literal 1 binary64) (exp.f64 z) #s(literal -1 binary64)) |
(expm1.f64 z) |
(-.f64 (/.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) (-.f64 (exp.f64 z) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 z) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(-.f64 (/.f64 (pow.f64 (exp.f64 z) #s(literal 3 binary64)) (fma.f64 (exp.f64 z) (exp.f64 z) (-.f64 (exp.f64 z) #s(literal -1 binary64)))) (pow.f64 (fma.f64 (exp.f64 z) (exp.f64 z) (-.f64 (exp.f64 z) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(-.f64 (exp.f64 z) #s(literal 1 binary64)) |
(+.f64 (cosh.f64 z) (-.f64 (sinh.f64 z) #s(literal 1 binary64))) |
(+.f64 (exp.f64 z) #s(literal -1 binary64)) |
z |
y |
t |
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(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* (+ (* 1/6 (* z y)) (* 1/2 y)) z) y) z) 1) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z) y)))) t) (+.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* (+ (* 1/6 (* z y)) (* 1/2 y)) z) y) z) 1) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z) y)))) t) x) (*.f64 x x))) (/.f64 (pow.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* (+ (* 1/6 (* z y)) (* 1/2 y)) z) y) z) 1) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z) y)))) t) #s(literal 3 binary64)) (fma.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* (+ (* 1/6 (* z y)) (* 1/2 y)) z) y) z) 1) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z) y)))) t) (+.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* (+ (* 1/6 (* z y)) (* 1/2 y)) z) y) z) 1) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z) y)))) t) x) (*.f64 x x)))) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* (+ (* 1/6 (* z y)) (* 1/2 y)) z) y) z) 1) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z) y)))) t)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* (+ (* 1/6 (* z y)) (* 1/2 y)) z) y) z) 1) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z) y))))))) (neg.f64 (neg.f64 (neg.f64 t)))) |
(/.f64 (neg.f64 (neg.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* (+ (* 1/6 (* z y)) (* 1/2 y)) z) y) z) 1) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z) y)))))) (neg.f64 (neg.f64 t))) |
(/.f64 (neg.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* (+ (* 1/6 (* z y)) (* 1/2 y)) z) y) z) 1) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z) y))))) (neg.f64 t)) |
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* (+ (* 1/6 (* z y)) (* 1/2 y)) z) y) z) 1) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z) y)))) t) |
(neg.f64 (/.f64 (neg.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* (+ (* 1/6 (* z y)) (* 1/2 y)) z) y) z) 1) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z) y))))) t)) |
(neg.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* (+ (* 1/6 (* z y)) (* 1/2 y)) z) y) z) 1) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z) y)))) (neg.f64 t))) |
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* (+ (* 1/6 (* z y)) (* 1/2 y)) z) y) z) 1) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z) y)))) |
#s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* (+ (* 1/6 (* z y)) (* 1/2 y)) z) y) z) 1) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z) y))) |
#s(approx (+ (* (+ (* (+ (* 1/6 (* z y)) (* 1/2 y)) z) y) z) 1) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z) y)) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) y) z) |
(*.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64))) z) |
(*.f64 (*.f64 z y) (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z) y) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) (*.f64 z y)) |
(*.f64 z (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) y)) |
(*.f64 y (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 z y))) (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z) #s(literal 3 binary64)) #s(literal -1 binary64)) (*.f64 z y))) (neg.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 z y)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal -1 binary64))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z) #s(literal 3 binary64)) #s(literal -1 binary64)) (*.f64 z y)) (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z))) |
Compiled 27 930 to 3 190 computations (88.6% saved)
22 alts after pruning (17 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 566 | 8 | 574 |
| Fresh | 6 | 9 | 15 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 1 | 1 |
| Total | 573 | 22 | 595 |
| Status | Accuracy | Program |
|---|---|---|
| 10.3% | (-.f64 x (/.f64 (log.f64 (+.f64 #s(approx (- 1 y) (neg.f64 y)) #s(approx (* y (exp z)) (fma.f64 z y y)))) t)) | |
| 75.5% | (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t)) | |
| 38.8% | (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))) t)) | |
| ✓ | 32.9% | (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* (+ (* 1/6 (* z y)) (* 1/2 y)) z) y) z) 1) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z) y)))) t)) |
| 31.7% | (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* (+ (* 1/6 (* z y)) (* 1/2 y)) z) y) z) 1) (*.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/6 z) 1/2) #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z) y)))) t)) | |
| ▶ | 74.7% | (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t)) |
| ✓ | 85.5% | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t)) |
| ▶ | 69.5% | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) y)) t)) |
| ✓ | 74.4% | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) |
| 64.3% | (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 y y (neg.f64 y)) z) #s(literal -1/2 binary64) y) t) z))) | |
| ▶ | 66.7% | (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (-.f64 (*.f64 (exp.f64 z) t) (*.f64 t #s(literal 1 binary64))) (*.f64 t t)) y))) |
| 60.2% | (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(approx (- (exp z) 1) (*.f64 #s(approx (+ (* (+ (* 1/6 z) 1/2) z) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) z) #s(literal -1/6 binary64)) z) z)) z)) t) y))) | |
| 61.0% | (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(approx (- (exp z) 1) (*.f64 #s(approx (+ (* (+ (* 1/6 z) 1/2) z) 1) (*.f64 (*.f64 z z) #s(literal 1/6 binary64))) z)) t) y))) | |
| ✓ | 73.9% | (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y))) |
| 71.9% | (-.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))) | |
| ▶ | 70.0% | (-.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)))) |
| ✓ | 95.7% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) x) t) x)) |
| 73.0% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (*.f64 z y)) x) t) x)) | |
| 72.6% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) y)) (*.f64 t x)) x)) | |
| 62.8% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) x) (*.f64 (/.f64 (fma.f64 (*.f64 (-.f64 y (*.f64 y y)) z) #s(literal 1/2 binary64) y) x) z)) t) x)) | |
| ▶ | 84.1% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) x) (*.f64 y (/.f64 (expm1.f64 z) x))) t) x)) |
| 26.7% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t))) |
Compiled 1 189 to 854 computations (28.2% saved)
| Inputs |
|---|
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) x) (*.f64 y (/.f64 (expm1.f64 z) x))) t) x)) |
(fma.f64 (neg.f64 x) (/.f64 #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) x) (*.f64 y (/.f64 (expm1.f64 z) x))) t) x) |
(neg.f64 x) |
x |
(/.f64 #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) x) (*.f64 y (/.f64 (expm1.f64 z) x))) t) |
#s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) x) (*.f64 y (/.f64 (expm1.f64 z) x))) |
(*.f64 y (/.f64 (expm1.f64 z) x)) |
y |
(/.f64 (expm1.f64 z) x) |
(expm1.f64 z) |
z |
t |
(-.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)))) |
#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))) |
#s(approx (* (/ (- (exp z) 1) t) y) (*.f64 (/.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) t) z)) |
(*.f64 (/.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) t) z) |
(/.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) t) |
(fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) |
(*.f64 z y) |
#s(literal 1/2 binary64) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) y)) t)) |
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) y)) t) |
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) y)) |
(*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) y) |
#s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t)) |
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t) |
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) |
#s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (-.f64 (*.f64 (exp.f64 z) t) (*.f64 t #s(literal 1 binary64))) (*.f64 t t)) y))) |
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (-.f64 (*.f64 (exp.f64 z) t) (*.f64 t #s(literal 1 binary64))) (*.f64 t t)) y)) |
(*.f64 (/.f64 (-.f64 (*.f64 (exp.f64 z) t) (*.f64 t #s(literal 1 binary64))) (*.f64 t t)) y) |
(/.f64 (-.f64 (*.f64 (exp.f64 z) t) (*.f64 t #s(literal 1 binary64))) (*.f64 t t)) |
(-.f64 (*.f64 (exp.f64 z) t) (*.f64 t #s(literal 1 binary64))) |
(*.f64 (exp.f64 z) t) |
(exp.f64 z) |
(*.f64 t #s(literal 1 binary64)) |
(*.f64 t t) |
| Outputs |
|---|
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t)) |
(* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t)) |
(+ x (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t))) |
(* -1 x) |
x |
(/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)) |
(/ (log (+ 1 (* y (- (exp z) 1)))) x) |
(/ (* y (- (exp z) 1)) x) |
(/ (- (exp z) 1) x) |
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x))))) |
(* x (+ 1 (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) (* t x))))) |
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) |
(* -1 (* x (- (/ (log (+ 1 (* y (- (exp z) 1)))) (* 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)))) |
(+ x (* -1 (/ (* y (- (exp z) 1)) t))) |
(+ x (* y (+ (* -1 (/ (- (exp z) 1) t)) (* 1/2 (/ (* y (pow (- (exp z) 1) 2)) t))))) |
(+ x (* y (+ (* -1 (/ (- (exp z) 1) t)) (* y (+ (* -1/3 (/ (* y (pow (- (exp z) 1) 3)) t)) (* 1/2 (/ (pow (- (exp z) 1) 2) t))))))) |
(/ (* y (- (exp z) 1)) (* t x)) |
(* y (- (+ (* -1/2 (/ (* y (pow (- (exp z) 1) 2)) (* t x))) (/ (exp z) (* t x))) (/ 1 (* t x)))) |
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) (* t x))) (* 1/3 (/ (* y (pow (- (exp z) 1) 3)) (* t x))))) (/ (exp z) (* t x))) (/ 1 (* t x)))) |
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) (* t x))) (* y (+ (* -1/4 (/ (* y (pow (- (exp z) 1) 4)) (* t x))) (* 1/3 (/ (pow (- (exp z) 1) 3) (* t x))))))) (/ (exp z) (* t x))) (/ 1 (* t x)))) |
(* y (- (+ (* -1/2 (/ (* y (pow (- (exp z) 1) 2)) x)) (/ (exp z) x)) (/ 1 x))) |
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) x)) (* 1/3 (/ (* y (pow (- (exp z) 1) 3)) x)))) (/ (exp z) x)) (/ 1 x))) |
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) x)) (* y (+ (* -1/4 (/ (* y (pow (- (exp z) 1) 4)) x)) (* 1/3 (/ (pow (- (exp z) 1) 3) x)))))) (/ (exp z) x)) (/ 1 x))) |
y |
(/ (* y (- (exp z) 1)) t) |
(* y (- (+ (* -1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ (exp z) t)) (/ 1 t))) |
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) t)) (* 1/3 (/ (* y (pow (- (exp z) 1) 3)) t)))) (/ (exp z) t)) (/ 1 t))) |
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) t)) (* y (+ (* -1/4 (/ (* y (pow (- (exp z) 1) 4)) t)) (* 1/3 (/ (pow (- (exp z) 1) 3) t)))))) (/ (exp z) t)) (/ 1 t))) |
(/ (* y (* z (+ 1 (* 1/2 z)))) t) |
(/ (* y (+ 1 (* 1/2 z))) t) |
(* y (+ 1 (* 1/2 z))) |
(* y z) |
(* 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))) |
(/ (* y (- (* t (exp z)) t)) (pow t 2)) |
(- x (+ (* -1 (/ (log (/ 1 y)) t)) (/ (log (- (exp z) 1)) t))) |
(- x (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t)))) |
(- (+ x (/ 1/2 (* t (* (pow y 2) (pow (- (exp z) 1) 2))))) (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t)))) |
(- (+ x (* 1/2 (/ 1 (* t (* (pow y 2) (pow (- (exp z) 1) 2)))))) (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (+ (* 1/3 (/ 1 (* t (* (pow y 3) (pow (- (exp z) 1) 3))))) (/ (log (- (exp z) 1)) t))))) |
(+ x (* -1 (/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t))) |
(- (+ x (* -1 (/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t))) (/ 1 (* t (* y (- (exp z) 1))))) |
(- (+ x (+ (* -1 (/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t)) (/ 1/2 (* t (* (pow y 2) (pow (- (exp z) 1) 2)))))) (/ 1 (* t (* y (- (exp z) 1))))) |
(- (+ x (+ (* -1 (/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t)) (* 1/2 (/ 1 (* t (* (pow y 2) (pow (- (exp z) 1) 2))))))) (+ (/ 1 (* t (* y (- (exp z) 1)))) (* 1/3 (/ 1 (* t (* (pow y 3) (pow (- (exp z) 1) 3))))))) |
(/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) (* 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))))))) |
(/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) x) |
(+ (* -1 (/ (log (/ 1 y)) x)) (+ (/ 1 (* x (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) x))) |
(- (+ (* -1 (/ (log (/ 1 y)) x)) (+ (/ 1 (* x (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) x))) (/ 1/2 (* x (* (pow y 2) (pow (- (exp z) 1) 2))))) |
(- (+ (* -1 (/ (log (/ 1 y)) x)) (+ (/ 1 (* x (* y (- (exp z) 1)))) (+ (* 1/3 (/ 1 (* x (* (pow y 3) (pow (- (exp z) 1) 3))))) (/ (log (- (exp z) 1)) x)))) (* 1/2 (/ 1 (* x (* (pow y 2) (pow (- (exp z) 1) 2)))))) |
(/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t) |
(+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t))) |
(- (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t))) (/ 1/2 (* t (* (pow y 2) (pow (- (exp z) 1) 2))))) |
(- (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (+ (* 1/3 (/ 1 (* t (* (pow y 3) (pow (- (exp z) 1) 3))))) (/ (log (- (exp z) 1)) t)))) (* 1/2 (/ 1 (* t (* (pow y 2) (pow (- (exp z) 1) 2)))))) |
(+ (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 (+ 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))) |
(+ x (* -1 (/ (+ (log (* -1 (- (exp z) 1))) (* -1 (log (/ -1 y)))) t))) |
(- (+ x (* -1 (/ (+ (log (* -1 (- (exp z) 1))) (* -1 (log (/ -1 y)))) t))) (/ 1 (* t (* y (- (exp z) 1))))) |
(+ x (+ (* -1 (/ (+ (log (* -1 (- (exp z) 1))) (* -1 (log (/ -1 y)))) t)) (* -1 (/ (- (/ 1 (* t (- (exp z) 1))) (* 1/2 (/ 1 (* t (* y (pow (- (exp z) 1) 2)))))) y)))) |
(+ x (+ (* -1 (/ (+ (log (* -1 (- (exp z) 1))) (* -1 (log (/ -1 y)))) t)) (* -1 (/ (+ (* -1 (/ (- (* 1/2 (/ 1 (* t (pow (- (exp z) 1) 2)))) (* 1/3 (/ 1 (* t (* y (pow (- (exp z) 1) 3)))))) y)) (/ 1 (* t (- (exp z) 1)))) y)))) |
(/ (+ (log (* -1 (- (exp z) 1))) (* -1 (log (/ -1 y)))) (* t x)) |
(+ (* -1 (/ (log (/ -1 y)) (* t x))) (+ (/ 1 (* t (* x (* y (- (exp z) 1))))) (/ (log (* -1 (- (exp z) 1))) (* t x)))) |
(+ (* -1 (/ (log (/ -1 y)) (* t x))) (+ (* -1 (/ (- (* 1/2 (/ 1 (* t (* x (* y (pow (- (exp z) 1) 2)))))) (/ 1 (* t (* x (- (exp z) 1))))) y)) (/ (log (* -1 (- (exp z) 1))) (* t x)))) |
(+ (* -1 (/ (log (/ -1 y)) (* t x))) (+ (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* t (* x (* y (pow (- (exp z) 1) 3)))))) (* 1/2 (/ 1 (* t (* x (pow (- (exp z) 1) 2)))))) y)) (/ 1 (* t (* x (- (exp z) 1))))) y)) (/ (log (* -1 (- (exp z) 1))) (* t x)))) |
(/ (+ (log (* -1 (- (exp z) 1))) (* -1 (log (/ -1 y)))) x) |
(+ (* -1 (/ (log (/ -1 y)) x)) (+ (/ 1 (* x (* y (- (exp z) 1)))) (/ (log (* -1 (- (exp z) 1))) x))) |
(+ (* -1 (/ (log (/ -1 y)) x)) (+ (* -1 (/ (- (* 1/2 (/ 1 (* x (* y (pow (- (exp z) 1) 2))))) (/ 1 (* x (- (exp z) 1)))) y)) (/ (log (* -1 (- (exp z) 1))) x))) |
(+ (* -1 (/ (log (/ -1 y)) x)) (+ (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* x (* y (pow (- (exp z) 1) 3))))) (* 1/2 (/ 1 (* x (pow (- (exp z) 1) 2))))) y)) (/ 1 (* x (- (exp z) 1)))) y)) (/ (log (* -1 (- (exp z) 1))) x))) |
(/ (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) t) |
(- (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t)) (/ 1 (* t (* y (+ 1 (* -1 (exp z))))))) |
(+ (* -1 (/ (log (/ -1 y)) t)) (+ (* -1 (/ (+ (* 1/2 (/ 1 (* t (* y (pow (+ 1 (* -1 (exp z))) 2))))) (/ 1 (* t (+ 1 (* -1 (exp z)))))) y)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
(+ (* -1 (/ (log (/ -1 y)) t)) (+ (* -1 (/ (+ (/ 1/3 (* t (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 3)))) (+ (/ 1/2 (* t (* y (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (* t (+ 1 (* -1 (exp z))))))) y)) (/ (log (+ 1 (* -1 (exp z)))) t))) |
(* -1 (/ (* y (* z (- (* -1/2 z) 1))) t)) |
(* -1 (/ (* y (- (* -1/2 z) 1)) t)) |
(* -1 (* y (- (* -1/2 z) 1))) |
(+ (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)))) |
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(* -1 (* y (+ 1 (* -1 (exp z))))) |
(* -1 (* y (- (+ 1 (* -1 (exp z))) (/ 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)))) |
(+ 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)) |
(* 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)))) |
(/ (* y z) x) |
(* z (+ (* 1/2 (/ (* z (+ y (* -1 (pow y 2)))) x)) (/ y x))) |
(* z (+ (* z (+ (* 1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) x)) (* 1/2 (/ (+ y (* -1 (pow y 2))) x)))) (/ y x))) |
(* z (+ (* z (+ (* 1/2 (/ (+ y (* -1 (pow y 2))) x)) (* z (+ (* 1/24 (/ (* z (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3))))))) x)) (* 1/6 (/ (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))) x)))))) (/ y x))) |
(* z (+ (* 1/2 (/ (* y z) x)) (/ y x))) |
(* z (+ (* z (+ (* 1/6 (/ (* y z) x)) (* 1/2 (/ y x)))) (/ y x))) |
(* z (+ (* z (+ (* 1/2 (/ y x)) (* z (+ (* 1/24 (/ (* y z) x)) (* 1/6 (/ y x)))))) (/ y x))) |
(/ z x) |
(* z (+ (* 1/2 (/ z x)) (/ 1 x))) |
(* z (+ (* z (+ (* 1/6 (/ z x)) (* 1/2 (/ 1 x)))) (/ 1 x))) |
(* z (+ (* z (+ (* z (+ (* 1/24 (/ z x)) (* 1/6 (/ 1 x)))) (* 1/2 (/ 1 x)))) (/ 1 x))) |
z |
(* z (+ 1 (* 1/2 z))) |
(* z (+ 1 (* z (+ 1/2 (* 1/6 z))))) |
(* z (+ 1 (* z (+ 1/2 (* z (+ 1/6 (* 1/24 z))))))) |
(/ (* y z) t) |
(* z (+ (* 1/2 (/ (* z (+ y (* -1 (pow y 2)))) t)) (/ y t))) |
(* z (+ (* z (+ (* 1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) t)) (* 1/2 (/ (+ y (* -1 (pow y 2))) t)))) (/ y t))) |
(* z (+ (* z (+ (* 1/2 (/ (+ y (* -1 (pow y 2))) t)) (* z (+ (* 1/24 (/ (* z (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3))))))) t)) (* 1/6 (/ (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))) t)))))) (/ y t))) |
(* z (+ (* 1/2 (/ (* 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))) |
(/ y t) |
(+ (* 1/2 (/ (* y z) t)) (/ y t)) |
(+ y (* 1/2 (* 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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(* 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 (* 1/2 z)) |
(+ 1 (* z (+ 1/2 (* 1/6 z)))) |
1/2 |
(+ 1/2 (* 1/6 z)) |
(+ 1 (* y z)) |
(+ 1 (* z (+ y (* 1/2 (* y z))))) |
(+ 1 (* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y)))))) |
(/ 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))) |
(* t z) |
(* z (+ t (* 1/2 (* t z)))) |
(* z (+ t (* z (+ (* 1/6 (* t z)) (* 1/2 t))))) |
(* z (+ t (* z (+ (* 1/2 t) (* z (+ (* 1/24 (* t z)) (* 1/6 t))))))) |
t |
(+ t (* t z)) |
(+ t (* z (+ t (* 1/2 (* t z))))) |
(+ t (* z (+ t (* z (+ (* 1/6 (* t z)) (* 1/2 t)))))) |
(+ 1 z) |
(+ 1 (* z (+ 1 (* 1/2 z)))) |
(+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) |
(- (exp z) 1) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(* 1/2 (/ (* y (pow z 2)) t)) |
(* (pow z 2) (+ (* 1/2 (/ y t)) (/ y (* t z)))) |
(* 1/2 (/ (* y z) t)) |
(* z (+ (* 1/2 (/ y t)) (/ y (* t z)))) |
(* 1/2 (* y z)) |
(* z (+ (* 1/2 y) (/ y z))) |
(log (- (+ 1 (* y (exp z))) y)) |
(* 1/6 (pow z 3)) |
(* (pow z 3) (+ 1/6 (* 1/2 (/ 1 z)))) |
(* (pow z 3) (+ 1/6 (+ (* 1/2 (/ 1 z)) (/ 1 (pow z 2))))) |
(* 1/6 (pow z 2)) |
(* (pow z 2) (+ 1/6 (* 1/2 (/ 1 z)))) |
(* (pow z 2) (+ 1/6 (+ (* 1/2 (/ 1 z)) (/ 1 (pow z 2))))) |
(* 1/6 z) |
(* z (+ 1/6 (* 1/2 (/ 1 z)))) |
(- (+ 1 (* y (exp z))) y) |
(/ (- (* t (exp z)) t) (pow t 2)) |
(- (* t (exp z)) t) |
(* t (exp z)) |
(exp z) |
(* -1 (* z (+ (* -1 (/ y (* t z))) (* -1/2 (/ y t))))) |
(* -1 (* z (+ (* -1 (/ y z)) (* -1/2 y)))) |
(* -1 (* (pow z 3) (- (* -1 (/ (+ 1/2 (/ 1 z)) z)) 1/6))) |
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) |
(/ (+ (* -1 (log (+ 1 (* y (- (exp z) 1))))) (* t x)) t) |
(/ (* z (+ y (* 1/2 (* y z)))) t) |
(/ (+ y (* 1/2 (* y z))) t) |
(/ (- (exp z) 1) t) |
(* t (- (exp z) 1)) |
(pow t 2) |
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) |
(* -1 (/ (* y (+ 1 (* -1 (exp z)))) t)) |
(* -1 (/ (+ 1 (* -1 (exp z))) t)) |
(* -1 (* t (+ 1 (* -1 (exp z))))) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 61.0ms | t | @ | inf | ((- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (neg x) (/ (/ (log (+ 1 (* (- (exp z) 1) y))) x) t)) x) (neg x) x (/ (/ (log (+ 1 (* (- (exp z) 1) y))) x) t) (/ (log (+ 1 (* (- (exp z) 1) y))) x) (* y (/ (- (exp z) 1) x)) y (/ (- (exp z) 1) x) (- (exp z) 1) z t (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (exp z) 1) t) y) (* (/ (+ (* (* z y) 1/2) y) t) z) (/ (+ (* (* z y) 1/2) y) t) (+ (* (* z y) 1/2) y) (* z y) 1/2 (- 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) (- (exp z) 1) (* (+ (* (+ (* 1/6 z) 1/2) z) 1) z) (+ (* (+ (* 1/6 z) 1/2) z) 1) (+ (* 1/6 z) 1/2) 1/6 1 (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (* (exp z) t) (* t 1)) (* t t)) y) (/ (- (* (exp z) t) (* t 1)) (* t t)) (- (* (exp z) t) (* t 1)) (* (exp z) t) (exp z) (* t 1) (* t t)) |
| 54.0ms | t | @ | -inf | ((- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (neg x) (/ (/ (log (+ 1 (* (- (exp z) 1) y))) x) t)) x) (neg x) x (/ (/ (log (+ 1 (* (- (exp z) 1) y))) x) t) (/ (log (+ 1 (* (- (exp z) 1) y))) x) (* y (/ (- (exp z) 1) x)) y (/ (- (exp z) 1) x) (- (exp z) 1) z t (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (exp z) 1) t) y) (* (/ (+ (* (* z y) 1/2) y) t) z) (/ (+ (* (* z y) 1/2) y) t) (+ (* (* z y) 1/2) y) (* z y) 1/2 (- 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) (- (exp z) 1) (* (+ (* (+ (* 1/6 z) 1/2) z) 1) z) (+ (* (+ (* 1/6 z) 1/2) z) 1) (+ (* 1/6 z) 1/2) 1/6 1 (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (* (exp z) t) (* t 1)) (* t t)) y) (/ (- (* (exp z) t) (* t 1)) (* t t)) (- (* (exp z) t) (* t 1)) (* (exp z) t) (exp z) (* t 1) (* t t)) |
| 29.0ms | z | @ | inf | ((- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (neg x) (/ (/ (log (+ 1 (* (- (exp z) 1) y))) x) t)) x) (neg x) x (/ (/ (log (+ 1 (* (- (exp z) 1) y))) x) t) (/ (log (+ 1 (* (- (exp z) 1) y))) x) (* y (/ (- (exp z) 1) x)) y (/ (- (exp z) 1) x) (- (exp z) 1) z t (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (exp z) 1) t) y) (* (/ (+ (* (* z y) 1/2) y) t) z) (/ (+ (* (* z y) 1/2) y) t) (+ (* (* z y) 1/2) y) (* z y) 1/2 (- 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) (- (exp z) 1) (* (+ (* (+ (* 1/6 z) 1/2) z) 1) z) (+ (* (+ (* 1/6 z) 1/2) z) 1) (+ (* 1/6 z) 1/2) 1/6 1 (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (* (exp z) t) (* t 1)) (* t t)) y) (/ (- (* (exp z) t) (* t 1)) (* t t)) (- (* (exp z) t) (* t 1)) (* (exp z) t) (exp z) (* t 1) (* t t)) |
| 23.0ms | z | @ | -inf | ((- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (neg x) (/ (/ (log (+ 1 (* (- (exp z) 1) y))) x) t)) x) (neg x) x (/ (/ (log (+ 1 (* (- (exp z) 1) y))) x) t) (/ (log (+ 1 (* (- (exp z) 1) y))) x) (* y (/ (- (exp z) 1) x)) y (/ (- (exp z) 1) x) (- (exp z) 1) z t (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (exp z) 1) t) y) (* (/ (+ (* (* z y) 1/2) y) t) z) (/ (+ (* (* z y) 1/2) y) t) (+ (* (* z y) 1/2) y) (* z y) 1/2 (- 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) (- (exp z) 1) (* (+ (* (+ (* 1/6 z) 1/2) z) 1) z) (+ (* (+ (* 1/6 z) 1/2) z) 1) (+ (* 1/6 z) 1/2) 1/6 1 (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (* (exp z) t) (* t 1)) (* t t)) y) (/ (- (* (exp z) t) (* t 1)) (* t t)) (- (* (exp z) t) (* t 1)) (* (exp z) t) (exp z) (* t 1) (* t t)) |
| 22.0ms | t | @ | 0 | ((- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (neg x) (/ (/ (log (+ 1 (* (- (exp z) 1) y))) x) t)) x) (neg x) x (/ (/ (log (+ 1 (* (- (exp z) 1) y))) x) t) (/ (log (+ 1 (* (- (exp z) 1) y))) x) (* y (/ (- (exp z) 1) x)) y (/ (- (exp z) 1) x) (- (exp z) 1) z t (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (exp z) 1) t) y) (* (/ (+ (* (* z y) 1/2) y) t) z) (/ (+ (* (* z y) 1/2) y) t) (+ (* (* z y) 1/2) y) (* z y) 1/2 (- 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) (- (exp z) 1) (* (+ (* (+ (* 1/6 z) 1/2) z) 1) z) (+ (* (+ (* 1/6 z) 1/2) z) 1) (+ (* 1/6 z) 1/2) 1/6 1 (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (* (exp z) t) (* t 1)) (* t t)) y) (/ (- (* (exp z) t) (* t 1)) (* t t)) (- (* (exp z) t) (* t 1)) (* (exp z) t) (exp z) (* t 1) (* t t)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 802 | 3977 |
| 1 | 2764 | 3664 |
| 0 | 8249 | 3145 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
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(/ 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))) |
(* t z) |
(* z (+ t (* 1/2 (* t z)))) |
(* z (+ t (* z (+ (* 1/6 (* t z)) (* 1/2 t))))) |
(* z (+ t (* z (+ (* 1/2 t) (* z (+ (* 1/24 (* t z)) (* 1/6 t))))))) |
t |
(+ t (* t z)) |
(+ t (* z (+ t (* 1/2 (* t z))))) |
(+ t (* z (+ t (* z (+ (* 1/6 (* t z)) (* 1/2 t)))))) |
(+ 1 z) |
(+ 1 (* z (+ 1 (* 1/2 z)))) |
(+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) |
(- (exp z) 1) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(* 1/2 (/ (* y (pow z 2)) t)) |
(* (pow z 2) (+ (* 1/2 (/ y t)) (/ y (* t z)))) |
(* 1/2 (/ (* y z) t)) |
(* z (+ (* 1/2 (/ y t)) (/ y (* t z)))) |
(* 1/2 (* y z)) |
(* z (+ (* 1/2 y) (/ y z))) |
(log (- (+ 1 (* y (exp z))) y)) |
(* 1/6 (pow z 3)) |
(* (pow z 3) (+ 1/6 (* 1/2 (/ 1 z)))) |
(* (pow z 3) (+ 1/6 (+ (* 1/2 (/ 1 z)) (/ 1 (pow z 2))))) |
(* 1/6 (pow z 2)) |
(* (pow z 2) (+ 1/6 (* 1/2 (/ 1 z)))) |
(* (pow z 2) (+ 1/6 (+ (* 1/2 (/ 1 z)) (/ 1 (pow z 2))))) |
(* 1/6 z) |
(* z (+ 1/6 (* 1/2 (/ 1 z)))) |
(- (+ 1 (* y (exp z))) y) |
(/ (- (* t (exp z)) t) (pow t 2)) |
(- (* t (exp z)) t) |
(* t (exp z)) |
(exp z) |
(* -1 (* z (+ (* -1 (/ y (* t z))) (* -1/2 (/ y t))))) |
(* -1 (* z (+ (* -1 (/ y z)) (* -1/2 y)))) |
(* -1 (* (pow z 3) (- (* -1 (/ (+ 1/2 (/ 1 z)) z)) 1/6))) |
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t) |
(/ (+ (* -1 (log (+ 1 (* y (- (exp z) 1))))) (* t x)) t) |
(/ (* z (+ y (* 1/2 (* y z)))) t) |
(/ (+ y (* 1/2 (* y z))) t) |
(/ (- (exp z) 1) t) |
(* t (- (exp z) 1)) |
(pow t 2) |
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) |
(* -1 (/ (* y (+ 1 (* -1 (exp z)))) t)) |
(* -1 (/ (+ 1 (* -1 (exp z))) t)) |
(* -1 (* t (+ 1 (* -1 (exp z))))) |
| 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 (/ (log (+ 1 (* y (- (exp z) 1)))) t)) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)) |
(+ x (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t))) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(* -1 x) |
(neg.f64 x) |
x |
(/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) |
(/ (log (+ 1 (* y (- (exp z) 1)))) x) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) x) |
(/ (* y (- (exp z) 1)) x) |
(/.f64 (*.f64 (expm1.f64 z) y) x) |
(/ (- (exp z) 1) x) |
(/.f64 (expm1.f64 z) 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 (neg.f64 t) x)) x x) |
(* x (+ 1 (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) (* t x))))) |
(fma.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 (neg.f64 t) x)) x x) |
(* -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)) |
(* -1 (* x (- (/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)) 1))) |
(*.f64 (-.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) 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) (exp.f64 z)) t) y x) |
(+ x (* y (- (+ (* 1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ 1 t)) (/ (exp z) t)))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) y) t) #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 z)) t)) y x) |
(+ x (* y (- (+ (* y (- (* -1/3 (/ (* y (pow (- (exp z) 1) 3)) t)) (* -1/2 (/ (pow (- (exp z) 1) 2) t)))) (/ 1 t)) (/ (exp z) t)))) |
(fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) (*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) y))) t) y (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 z)) t)) y x) |
(+ x (* -1 (/ (* y (- (exp z) 1)) t))) |
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t))) |
(+ x (* y (+ (* -1 (/ (- (exp z) 1) t)) (* 1/2 (/ (* y (pow (- (exp z) 1) 2)) t))))) |
(fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) y) (neg.f64 (expm1.f64 z))) t) y x) |
(+ x (* y (+ (* -1 (/ (- (exp z) 1) t)) (* y (+ (* -1/3 (/ (* y (pow (- (exp z) 1) 3)) t)) (* 1/2 (/ (pow (- (exp z) 1) 2) t))))))) |
(fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) (*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) y))) t) y (/.f64 (expm1.f64 z) (neg.f64 t))) y x) |
(/ (* y (- (exp z) 1)) (* t x)) |
(/.f64 (*.f64 y (/.f64 (expm1.f64 z) t)) x) |
(* y (- (+ (* -1/2 (/ (* y (pow (- (exp z) 1) 2)) (* t x))) (/ (exp z) (* t x))) (/ 1 (* t x)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) y) x) (/.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) t) (/.f64 (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 (expm1.f64 z) (*.f64 t x))) y) |
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) (* t x))) (* y (+ (* -1/4 (/ (* y (pow (- (exp z) 1) 4)) (* t x))) (* 1/3 (/ (pow (- (exp z) 1) 3) (* t x))))))) (/ (exp z) (* t x))) (/ 1 (* t x)))) |
(*.f64 (fma.f64 (fma.f64 (/.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)))) (*.f64 t x)) y (*.f64 (/.f64 (/.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) t) x) #s(literal -1/2 binary64))) y (/.f64 (expm1.f64 z) (*.f64 t x))) y) |
(* y (- (+ (* -1/2 (/ (* y (pow (- (exp z) 1) 2)) x)) (/ (exp z) x)) (/ 1 x))) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) y) (expm1.f64 z)) x) y) |
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) x)) (* 1/3 (/ (* y (pow (- (exp z) 1) 3)) x)))) (/ (exp z) x)) (/ 1 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)))) x) y (/.f64 (expm1.f64 z) x)) y) |
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) x)) (* y (+ (* -1/4 (/ (* y (pow (- (exp z) 1) 4)) x)) (* 1/3 (/ (pow (- (exp z) 1) 3) x)))))) (/ (exp z) x)) (/ 1 x))) |
(*.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 #s(literal 1/3 binary64) (pow.f64 (expm1.f64 z) #s(literal 3 binary64)))) x) y (*.f64 (/.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) x) #s(literal -1/2 binary64))) y (/.f64 (expm1.f64 z) x)) y) |
y |
(/ (* y (- (exp z) 1)) t) |
(*.f64 y (/.f64 (expm1.f64 z) t)) |
(* y (- (+ (* -1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ (exp z) t)) (/ 1 t))) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) y) (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 (fma.f64 (/.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)))) t) y (*.f64 (/.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) t) #s(literal -1/2 binary64))) y (/.f64 (expm1.f64 z) t)) y) |
(/ (* y (* z (+ 1 (* 1/2 z)))) t) |
(/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y) t) |
(/ (* y (+ 1 (* 1/2 z))) t) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) y) t) |
(* y (+ 1 (* 1/2 z))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) y) |
(* y z) |
(*.f64 z 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 (*.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)) |
(/ (* y (- (* t (exp z)) t)) (pow t 2)) |
(*.f64 (/.f64 (-.f64 (*.f64 t (exp.f64 z)) t) t) (/.f64 y t)) |
(- 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 (log.f64 y) (log.f64 (expm1.f64 z))) t) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (expm1.f64 z) y) t)))) |
(- (+ x (/ 1/2 (* t (* (pow y 2) (pow (- (exp z) 1) 2))))) (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t)))) |
(-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) t) (*.f64 (*.f64 y y) (pow.f64 (expm1.f64 z) #s(literal 2 binary64)))) x) (+.f64 (/.f64 (+.f64 (log.f64 y) (log.f64 (expm1.f64 z))) t) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (expm1.f64 z) y) t)))) |
(- (+ x (* 1/2 (/ 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) t) (*.f64 (*.f64 y y) (pow.f64 (expm1.f64 z) #s(literal 2 binary64)))) x) (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (*.f64 (expm1.f64 z) y) #s(literal 3 binary64)) t)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (expm1.f64 z) y) t))) (/.f64 (+.f64 (log.f64 y) (log.f64 (expm1.f64 z))) t))) |
(+ x (* -1 (/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t))) |
(-.f64 x (/.f64 (+.f64 (log.f64 y) (log.f64 (expm1.f64 z))) t)) |
(- (+ x (* -1 (/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t))) (/ 1 (* t (* y (- (exp z) 1))))) |
(-.f64 x (+.f64 (/.f64 (+.f64 (log.f64 y) (log.f64 (expm1.f64 z))) t) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (expm1.f64 z) y) t)))) |
(- (+ x (+ (* -1 (/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t)) (/ 1/2 (* t (* (pow y 2) (pow (- (exp z) 1) 2)))))) (/ 1 (* t (* y (- (exp z) 1))))) |
(+.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) t) (*.f64 (*.f64 y y) (pow.f64 (expm1.f64 z) #s(literal 2 binary64)))) (/.f64 (+.f64 (log.f64 y) (log.f64 (expm1.f64 z))) t)) (-.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (expm1.f64 z) y) t)))) |
(- (+ x (+ (* -1 (/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t)) (* 1/2 (/ 1 (* t (* (pow y 2) (pow (- (exp z) 1) 2))))))) (+ (/ 1 (* t (* y (- (exp z) 1)))) (* 1/3 (/ 1 (* t (* (pow y 3) (pow (- (exp z) 1) 3))))))) |
(-.f64 (+.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) t) (*.f64 (*.f64 y y) (pow.f64 (expm1.f64 z) #s(literal 2 binary64)))) (/.f64 (+.f64 (log.f64 y) (log.f64 (expm1.f64 z))) t)) x) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (*.f64 (expm1.f64 z) y) #s(literal 3 binary64)) t)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (expm1.f64 z) y) t)))) |
(/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) (* t x)) |
(/.f64 (+.f64 (log.f64 y) (log.f64 (expm1.f64 z))) (*.f64 t x)) |
(+ (* -1 (/ (log (/ 1 y)) (* t x))) (+ (/ 1 (* t (* x (* y (- (exp z) 1))))) (/ (log (- (exp z) 1)) (* t x)))) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (expm1.f64 z) y) x) t)) (/.f64 (+.f64 (log.f64 y) (log.f64 (expm1.f64 z))) (*.f64 t x))) |
(- (+ (* -1 (/ (log (/ 1 y)) (* t x))) (+ (/ 1 (* t (* x (* y (- (exp z) 1))))) (/ (log (- (exp z) 1)) (* t x)))) (/ 1/2 (* t (* x (* (pow y 2) (pow (- (exp z) 1) 2)))))) |
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (expm1.f64 z) y) x) t)) (/.f64 (+.f64 (log.f64 y) (log.f64 (expm1.f64 z))) (*.f64 t x))) (/.f64 (/.f64 #s(literal 1/2 binary64) t) (*.f64 (*.f64 x (*.f64 y y)) (pow.f64 (expm1.f64 z) #s(literal 2 binary64))))) |
(- (+ (* -1 (/ (log (/ 1 y)) (* t x))) (+ (/ 1 (* t (* x (* y (- (exp z) 1))))) (+ (* 1/3 (/ 1 (* t (* x (* (pow y 3) (pow (- (exp z) 1) 3)))))) (/ (log (- (exp z) 1)) (* t x))))) (* 1/2 (/ 1 (* t (* x (* (pow y 2) (pow (- (exp z) 1) 2))))))) |
(-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (expm1.f64 z) y) x) t)) (/.f64 (+.f64 (log.f64 y) (log.f64 (expm1.f64 z))) (*.f64 t x))) (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 (pow.f64 (*.f64 (expm1.f64 z) y) #s(literal 3 binary64)) x) t))) (/.f64 (/.f64 #s(literal 1/2 binary64) t) (*.f64 (*.f64 x (*.f64 y y)) (pow.f64 (expm1.f64 z) #s(literal 2 binary64))))) |
(/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) x) |
(/.f64 (+.f64 (log.f64 y) (log.f64 (expm1.f64 z))) x) |
(+ (* -1 (/ (log (/ 1 y)) x)) (+ (/ 1 (* x (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) x))) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (expm1.f64 z) y) x)) (/.f64 (+.f64 (log.f64 y) (log.f64 (expm1.f64 z))) x)) |
(- (+ (* -1 (/ (log (/ 1 y)) x)) (+ (/ 1 (* x (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) x))) (/ 1/2 (* x (* (pow y 2) (pow (- (exp z) 1) 2))))) |
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (expm1.f64 z) y) x)) (/.f64 (+.f64 (log.f64 y) (log.f64 (expm1.f64 z))) x)) (/.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 y y) (pow.f64 (expm1.f64 z) #s(literal 2 binary64))))) |
(- (+ (* -1 (/ (log (/ 1 y)) x)) (+ (/ 1 (* x (* y (- (exp z) 1)))) (+ (* 1/3 (/ 1 (* x (* (pow y 3) (pow (- (exp z) 1) 3))))) (/ (log (- (exp z) 1)) x)))) (* 1/2 (/ 1 (* x (* (pow y 2) (pow (- (exp z) 1) 2)))))) |
(-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (expm1.f64 z) y) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (*.f64 (expm1.f64 z) y) #s(literal 3 binary64)) x))) (/.f64 (+.f64 (log.f64 y) (log.f64 (expm1.f64 z))) x)) (/.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 y y) (pow.f64 (expm1.f64 z) #s(literal 2 binary64))))) |
(/ (+ (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 (log.f64 y) (log.f64 (expm1.f64 z))) t) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (expm1.f64 z) y) t))) |
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(*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal 1/2 binary64) y)) x) z (/.f64 y x)) z) |
(* z (+ (* z (+ (* 1/2 (/ y x)) (* z (+ (* 1/24 (/ (* y z) x)) (* 1/6 (/ y x)))))) (/ y x))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 z y) (*.f64 #s(literal 1/6 binary64) y)) x) z (*.f64 (/.f64 y x) #s(literal 1/2 binary64))) z (/.f64 y x)) z) |
(/ z x) |
(/.f64 z x) |
(* z (+ (* 1/2 (/ z x)) (/ 1 x))) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) x) z) |
(* z (+ (* z (+ (* 1/6 (/ z x)) (* 1/2 (/ 1 x)))) (/ 1 x))) |
(*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) x) z (/.f64 #s(literal 1 binary64) x)) z) |
(* z (+ (* z (+ (* z (+ (* 1/24 (/ z x)) (* 1/6 (/ 1 x)))) (* 1/2 (/ 1 x)))) (/ 1 x))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) x) z (/.f64 #s(literal 1/2 binary64) x)) z (/.f64 #s(literal 1 binary64) x)) z) |
z |
(* z (+ 1 (* 1/2 z))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) |
(* z (+ 1 (* z (+ 1/2 (* 1/6 z))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z) |
(* z (+ 1 (* z (+ 1/2 (* z (+ 1/6 (* 1/24 z))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z) |
(/ (* 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)) z) #s(literal 1/2 binary64) y) t) z) |
(* z (+ (* z (+ (* 1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) t)) (* 1/2 (/ (+ y (* -1 (pow y 2))) t)))) (/ y t))) |
(*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) (fma.f64 #s(literal -3 binary64) (*.f64 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) |
(* z (+ (* z (+ (* 1/2 (/ (+ y (* -1 (pow y 2))) t)) (* z (+ (* 1/24 (/ (* z (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3))))))) t)) (* 1/6 (/ (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))) t)))))) (/ y t))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) z) (+.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) (*.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 y y) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)))) t) z (*.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal 1/2 binary64))) z (/.f64 y t)) z) |
(* z (+ (* 1/2 (/ (* y z) t)) (/ y t))) |
(*.f64 (/.f64 (fma.f64 (*.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 (fma.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal 1/2 binary64) y)) t) z (/.f64 y t)) z) |
(* z (+ (* z (+ (* 1/2 (/ y t)) (* z (+ (* 1/24 (/ (* y z) t)) (* 1/6 (/ y t)))))) (/ y t))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 z y) (*.f64 #s(literal 1/6 binary64) y)) t) z (*.f64 (/.f64 y t) #s(literal 1/2 binary64))) z (/.f64 y t)) z) |
(/ y t) |
(/.f64 y t) |
(+ (* 1/2 (/ (* y z) t)) (/ y t)) |
(/.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) t) |
(+ y (* 1/2 (* y z))) |
(fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) |
(* z (+ y (* 1/2 (* z (+ y (* -1 (pow y 2))))))) |
(*.f64 (fma.f64 (*.f64 (-.f64 y (*.f64 y y)) z) #s(literal 1/2 binary64) 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 #s(literal -3 binary64) (*.f64 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) z) (+.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) (*.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 y y) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)))) z (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) z y) z) |
(* z (+ 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 (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) |
(+ 1 (* 1/2 z)) |
(fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) |
(+ 1 (* z (+ 1/2 (* 1/6 z)))) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/6 z)) |
(fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 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 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal 1/2 binary64) y)) z y) z #s(literal 1 binary64)) |
(/ 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)) t) z) |
(* z (+ (* z (+ (* 1/6 (/ z t)) (* 1/2 (/ 1 t)))) (/ 1 t))) |
(*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) t) z (/.f64 #s(literal 1 binary64) t)) z) |
(* z (+ (* z (+ (* z (+ (* 1/24 (/ z t)) (* 1/6 (/ 1 t)))) (* 1/2 (/ 1 t)))) (/ 1 t))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) t) z (/.f64 #s(literal 1/2 binary64) t)) z (/.f64 #s(literal 1 binary64) t)) z) |
(* t z) |
(*.f64 t z) |
(* z (+ t (* 1/2 (* t z)))) |
(*.f64 (fma.f64 (*.f64 t z) #s(literal 1/2 binary64) t) z) |
(* z (+ t (* z (+ (* 1/6 (* t z)) (* 1/2 t))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 t z) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) t)) z t) z) |
(* z (+ t (* z (+ (* 1/2 t) (* z (+ (* 1/24 (* t z)) (* 1/6 t))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 t z) #s(literal 1/24 binary64) (*.f64 #s(literal 1/6 binary64) t)) z (*.f64 #s(literal 1/2 binary64) t)) z t) z) |
t |
(+ t (* t z)) |
(fma.f64 t z t) |
(+ t (* z (+ t (* 1/2 (* t z))))) |
(fma.f64 (fma.f64 (*.f64 t z) #s(literal 1/2 binary64) t) z t) |
(+ t (* z (+ t (* z (+ (* 1/6 (* t z)) (* 1/2 t)))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 t z) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) t)) z t) z t) |
(+ 1 z) |
(+.f64 z #s(literal 1 binary64)) |
(+ 1 (* z (+ 1 (* 1/2 z)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64)) |
(+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z #s(literal 1 binary64)) |
(- (exp z) 1) |
(expm1.f64 z) |
(/ (log (- (+ 1 (* y (exp z))) y)) t) |
(/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) t) |
(* 1/2 (/ (* y (pow z 2)) t)) |
(*.f64 (/.f64 (*.f64 (*.f64 z z) y) t) #s(literal 1/2 binary64)) |
(* (pow z 2) (+ (* 1/2 (/ y t)) (/ y (* t z)))) |
(*.f64 (fma.f64 (/.f64 y t) #s(literal 1/2 binary64) (/.f64 (/.f64 y t) z)) (*.f64 z z)) |
(* 1/2 (/ (* y z) t)) |
(*.f64 (/.f64 (*.f64 z y) t) #s(literal 1/2 binary64)) |
(* z (+ (* 1/2 (/ y t)) (/ y (* t z)))) |
(*.f64 (fma.f64 (/.f64 y t) #s(literal 1/2 binary64) (/.f64 (/.f64 y t) z)) z) |
(* 1/2 (* y z)) |
(*.f64 (*.f64 z y) #s(literal 1/2 binary64)) |
(* z (+ (* 1/2 y) (/ y z))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 y z)) z) |
(log (- (+ 1 (* y (exp z))) y)) |
(log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) |
(* 1/6 (pow z 3)) |
(*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/6 binary64)) |
(* (pow z 3) (+ 1/6 (* 1/2 (/ 1 z)))) |
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) z) #s(literal -1/6 binary64)) (pow.f64 z #s(literal 3 binary64))) |
(* (pow z 3) (+ 1/6 (+ (* 1/2 (/ 1 z)) (/ 1 (pow z 2))))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal 1/2 binary64) z)) #s(literal -1/6 binary64)) (pow.f64 z #s(literal 3 binary64))) |
(* 1/6 (pow z 2)) |
(*.f64 (*.f64 z z) #s(literal 1/6 binary64)) |
(* (pow z 2) (+ 1/6 (* 1/2 (/ 1 z)))) |
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) z) #s(literal -1/6 binary64)) (*.f64 z z)) |
(* (pow z 2) (+ 1/6 (+ (* 1/2 (/ 1 z)) (/ 1 (pow z 2))))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal 1/2 binary64) z)) #s(literal -1/6 binary64)) (*.f64 z z)) |
(* 1/6 z) |
(*.f64 #s(literal 1/6 binary64) z) |
(* z (+ 1/6 (* 1/2 (/ 1 z)))) |
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) z) #s(literal -1/6 binary64)) z) |
(- (+ 1 (* y (exp z))) y) |
(-.f64 (fma.f64 (exp.f64 z) y #s(literal 1 binary64)) y) |
(/ (- (* t (exp z)) t) (pow t 2)) |
(/.f64 (-.f64 (*.f64 t (exp.f64 z)) t) (*.f64 t t)) |
(- (* t (exp z)) t) |
(-.f64 (*.f64 t (exp.f64 z)) t) |
(* t (exp z)) |
(*.f64 t (exp.f64 z)) |
(exp z) |
(exp.f64 z) |
(* -1 (* z (+ (* -1 (/ y (* t z))) (* -1/2 (/ y t))))) |
(*.f64 (neg.f64 z) (fma.f64 (/.f64 y t) #s(literal -1/2 binary64) (/.f64 (neg.f64 y) (*.f64 t z)))) |
(* -1 (* z (+ (* -1 (/ y z)) (* -1/2 y)))) |
(*.f64 (neg.f64 z) (fma.f64 #s(literal -1/2 binary64) y (/.f64 (neg.f64 y) z))) |
(* -1 (* (pow z 3) (- (* -1 (/ (+ 1/2 (/ 1 z)) z)) 1/6))) |
(*.f64 (neg.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)) z) #s(literal -1 binary64) #s(literal -1/6 binary64))) (pow.f64 z #s(literal 3 binary64))) |
(/ (- (* 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) 1))))) (* t x)) t) |
(/.f64 (fma.f64 t x (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))) t) |
(/ (* z (+ y (* 1/2 (* y z)))) t) |
(*.f64 (/.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) t) z) |
(/ (+ y (* 1/2 (* y z))) t) |
(/.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) t) |
(/ (- (exp z) 1) t) |
(/.f64 (expm1.f64 z) t) |
(* t (- (exp z) 1)) |
(*.f64 (expm1.f64 z) t) |
(pow t 2) |
(*.f64 t t) |
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))) |
(-.f64 x (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) t)) |
(* -1 (/ (* y (+ 1 (* -1 (exp z)))) t)) |
(*.f64 (neg.f64 y) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 z)) t)) |
(* -1 (/ (+ 1 (* -1 (exp z))) t)) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 z))) t) |
(* -1 (* t (+ 1 (* -1 (exp z))))) |
(*.f64 (neg.f64 t) (-.f64 #s(literal 1 binary64) (exp.f64 z))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 57 | 490 |
| 0 | 91 | 478 |
| 1 | 339 | 452 |
| 2 | 2507 | 452 |
| 0 | 8567 | 432 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) x) (*.f64 y (/.f64 (expm1.f64 z) x))) t) x)) |
(fma.f64 (neg.f64 x) (/.f64 #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) x) (*.f64 y (/.f64 (expm1.f64 z) x))) t) x) |
(neg.f64 x) |
x |
(/.f64 #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) x) (*.f64 y (/.f64 (expm1.f64 z) x))) t) |
#s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) x) (*.f64 y (/.f64 (expm1.f64 z) x))) |
(*.f64 y (/.f64 (expm1.f64 z) x)) |
y |
(/.f64 (expm1.f64 z) x) |
(expm1.f64 z) |
z |
t |
(-.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)))) |
#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))) |
#s(approx (* (/ (- (exp z) 1) t) y) (*.f64 (/.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) t) z)) |
(*.f64 (/.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) t) z) |
(/.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) t) |
(fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) |
(*.f64 z y) |
#s(literal 1/2 binary64) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) y)) t)) |
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) y)) t) |
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) y)) |
(*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) y) |
#s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t)) |
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t) |
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) |
#s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (-.f64 (*.f64 (exp.f64 z) t) (*.f64 t #s(literal 1 binary64))) (*.f64 t t)) y))) |
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (-.f64 (*.f64 (exp.f64 z) t) (*.f64 t #s(literal 1 binary64))) (*.f64 t t)) y)) |
(*.f64 (/.f64 (-.f64 (*.f64 (exp.f64 z) t) (*.f64 t #s(literal 1 binary64))) (*.f64 t t)) y) |
(/.f64 (-.f64 (*.f64 (exp.f64 z) t) (*.f64 t #s(literal 1 binary64))) (*.f64 t t)) |
(-.f64 (*.f64 (exp.f64 z) t) (*.f64 t #s(literal 1 binary64))) |
(*.f64 (exp.f64 z) t) |
(exp.f64 z) |
(*.f64 t #s(literal 1 binary64)) |
(*.f64 t t) |
| Outputs |
|---|
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (/.f64 #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) x) (*.f64 (/.f64 (expm1.f64 z) x) y)) t) (neg.f64 x) x)) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (/.f64 #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) x) (*.f64 (/.f64 (expm1.f64 z) x) y)) t) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (/.f64 (*.f64 #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) x) (*.f64 (/.f64 (expm1.f64 z) x) y)) (neg.f64 x)) t)))) |
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t |
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(*.f64 (neg.f64 t) (neg.f64 t)) |
(*.f64 (neg.f64 t) t) |
(*.f64 (*.f64 t t) #s(literal 1 binary64)) |
(*.f64 t (neg.f64 t)) |
(*.f64 t t) |
(*.f64 #s(literal 1 binary64) (*.f64 t t)) |
(pow.f64 (exp.f64 (log.f64 t)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 (neg.f64 t)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 t) #s(literal 2 binary64)) |
(pow.f64 (*.f64 t t) #s(literal 1 binary64)) |
(pow.f64 t #s(literal 2 binary64)) |
(neg.f64 (*.f64 t t)) |
(sqrt.f64 (pow.f64 t #s(literal 4 binary64))) |
(fabs.f64 (*.f64 t t)) |
(exp.f64 (fma.f64 (log.f64 t) #s(literal 2 binary64) #s(literal 0 binary64))) |
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 t) #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 t)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 t) #s(literal 2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 t) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 t) #s(literal 2 binary64)))) |
Compiled 32 476 to 4 334 computations (86.7% saved)
28 alts after pruning (20 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 740 | 13 | 753 |
| Fresh | 5 | 7 | 12 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 5 | 5 |
| Total | 747 | 28 | 775 |
| Status | Accuracy | Program |
|---|---|---|
| 10.3% | (-.f64 x (/.f64 (log.f64 (+.f64 #s(approx (- 1 y) (neg.f64 y)) #s(approx (* y (exp z)) (fma.f64 z y y)))) t)) | |
| 75.5% | (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t)) | |
| 38.8% | (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))) t)) | |
| ✓ | 32.9% | (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* (+ (* 1/6 (* z y)) (* 1/2 y)) z) y) z) 1) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z) y)))) t)) |
| 31.7% | (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* (+ (* 1/6 (* z y)) (* 1/2 y)) z) y) z) 1) (*.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/6 z) 1/2) #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z) y)))) t)) | |
| ✓ | 74.7% | (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t)) |
| ✓ | 85.5% | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t)) |
| ✓ | 69.5% | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) y)) t)) |
| 60.6% | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (- (exp z) 1) (*.f64 #s(approx (+ (* (+ (* 1/6 z) 1/2) z) 1) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) z) #s(literal -1/6 binary64)) (*.f64 z z))) z)) y)) t)) | |
| 61.4% | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (- (exp z) 1) (*.f64 #s(approx (+ (* (+ (* 1/6 z) 1/2) z) 1) (*.f64 (*.f64 z z) #s(literal 1/6 binary64))) z)) y)) t)) | |
| ✓ | 74.4% | (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) |
| 68.7% | (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (*.f64 t (expm1.f64 z)) (*.f64 t t)) y))) | |
| 55.0% | (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(approx (- (* (exp z) t) (* t 1)) (*.f64 (fma.f64 (*.f64 t z) #s(literal 1/2 binary64) t) z)) (*.f64 t t)) y))) | |
| 58.1% | (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(approx (- (* (exp z) t) (* t 1)) (*.f64 t z)) (*.f64 t t)) y))) | |
| 61.0% | (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(approx (- (exp z) 1) (*.f64 #s(approx (+ (* (+ (* 1/6 z) 1/2) z) 1) (*.f64 (*.f64 z z) #s(literal 1/6 binary64))) z)) t) y))) | |
| 71.9% | (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (* (exp z) t) (* t 1)) (* t t)) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y))) | |
| ✓ | 73.9% | (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y))) |
| 70.6% | (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp z) 1) t) y) (*.f64 (fma.f64 z (/.f64 (*.f64 #s(literal 1/2 binary64) y) t) (/.f64 y t)) z)))) | |
| ✓ | 70.0% | (-.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)))) |
| 63.1% | (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp z) 1) t) y) (*.f64 (/.f64 #s(approx (+ (* (* z y) 1/2) y) (*.f64 (*.f64 z y) #s(literal 1/2 binary64))) t) z)))) | |
| 72.8% | (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp z) 1) t) y) (*.f64 #s(approx (/ (+ (* (* z y) 1/2) y) t) (/.f64 y t)) z)))) | |
| 70.0% | (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp z) 1) t) y) (*.f64 #s(approx (/ (+ (* (* z y) 1/2) y) t) (*.f64 (neg.f64 y) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) z) #s(literal 1 binary64)) t))) z)))) | |
| 62.7% | (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp z) 1) t) y) #s(approx (* (/ (+ (* (* z y) 1/2) y) t) z) (*.f64 (/.f64 (*.f64 (*.f64 z z) y) t) #s(literal 1/2 binary64)))))) | |
| ✓ | 95.7% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) x) t) x)) |
| 72.6% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) y)) (*.f64 t x)) x)) | |
| 73.8% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) x) (*.f64 y #s(approx (/ (- (exp z) 1) x) (/.f64 z x)))) t) x)) | |
| 70.9% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) x) (*.f64 y #s(approx (/ (- (exp z) 1) x) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) x) z)))) t) x)) | |
| 26.7% | #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t))) |
Compiled 2 449 to 994 computations (59.4% saved)
| Inputs |
|---|
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp z) 1) t) y) (*.f64 #s(approx (/ (+ (* (* z y) 1/2) y) t) (/.f64 y t)) z)))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp z) 1) t) y) #s(approx (* (/ (+ (* (* z y) 1/2) y) t) z) (*.f64 (/.f64 (*.f64 (*.f64 z z) y) t) #s(literal 1/2 binary64)))))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp z) 1) t) y) (*.f64 (/.f64 #s(approx (+ (* (* z y) 1/2) y) (*.f64 (*.f64 z y) #s(literal 1/2 binary64))) t) z)))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(approx (- (* (exp z) t) (* t 1)) (*.f64 t z)) (*.f64 t t)) y))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp z) 1) t) y) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) z y) t) z)))) |
(-.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))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (* (exp z) t) (* t 1)) (* t t)) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp z) 1) t) y) (*.f64 #s(approx (/ (+ (* (* z y) 1/2) y) t) (*.f64 (neg.f64 y) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) z) #s(literal 1 binary64)) t))) z)))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(approx (- (exp z) 1) (*.f64 #s(approx (+ (* (+ (* 1/6 z) 1/2) z) 1) (*.f64 (*.f64 z z) #s(literal 1/6 binary64))) z)) t) y))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (- (exp z) 1) (*.f64 #s(approx (+ (* (+ (* 1/6 z) 1/2) z) 1) (*.f64 (*.f64 z z) #s(literal 1/6 binary64))) z)) y)) t)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (* t x)) (/.f64 (/.f64 (*.f64 z y) t) x)) x)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) x) (*.f64 y #s(approx (/ (- (exp z) 1) x) (/.f64 z x)))) t) x)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (*.f64 z y)) x) t) x)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) t) y))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) y)) t)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 y y (neg.f64 y)) z) #s(literal -1/2 binary64) y) t) z))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(approx (- (* (exp z) t) (* t 1)) (*.f64 (fma.f64 (*.f64 t z) #s(literal 1/2 binary64) t) z)) (*.f64 t t)) y))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp z) 1) t) y) (*.f64 (fma.f64 z (/.f64 (*.f64 #s(literal 1/2 binary64) y) t) (/.f64 y t)) z)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) x) (*.f64 y #s(approx (/ (- (exp z) 1) x) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) x) z)))) t) x)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) t) z (/.f64 #s(literal 1 binary64) t)) z)) y))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(approx (- (exp z) 1) (*.f64 #s(approx (+ (* (+ (* 1/6 z) 1/2) z) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) z) #s(literal -1/6 binary64)) z) z)) z)) t) y))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (- (exp z) 1) (*.f64 #s(approx (+ (* (+ (* 1/6 z) 1/2) z) 1) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) z) #s(literal -1/6 binary64)) (*.f64 z z))) z)) y)) t)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) x) (*.f64 (/.f64 (fma.f64 (*.f64 (-.f64 y (*.f64 y y)) z) #s(literal 1/2 binary64) y) x) z)) t) x)) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t)) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t)) |
(-.f64 x (/.f64 (log.f64 (+.f64 #s(approx (- 1 y) (neg.f64 y)) #s(approx (* y (exp z)) (fma.f64 z y y)))) t)) |
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) #s(approx (* y (exp z)) (fma.f64 z y y)))) t)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (*.f64 t (expm1.f64 z)) (*.f64 t t)) y))) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* (+ (* 1/6 (* z y)) (* 1/2 y)) z) y) z) 1) (*.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/6 z) 1/2) #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z) y)))) t)) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64)))) t)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) x) (*.f64 y (/.f64 (expm1.f64 z) x))) t) x)) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* (+ (* 1/6 (* z y)) (* 1/2 y)) z) y) z) 1) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z) y)))) t)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (-.f64 (*.f64 (exp.f64 z) t) (*.f64 t #s(literal 1 binary64))) (*.f64 t t)) y))) |
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y #s(approx (exp z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64)))))) t)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) y)) (*.f64 t x)) x)) |
(-.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 (*.f64 (expm1.f64 z) y)) (neg.f64 t))) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))) t)) |
(-.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)) (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) x)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) x) t) x)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (/.f64 (neg.f64 x) t) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) x) x)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (* t x)) (*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) y) t) (/.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) x) (/.f64 (expm1.f64 z) (*.f64 t x))) y)) x)) |
| Outputs |
|---|
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) x) t) x)) |
9 calls:
| 45.0ms | x |
| 12.0ms | t |
| 12.0ms | z |
| 12.0ms | y |
| 12.0ms | (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.7% | 1 | (exp.f64 z) |
| 95.7% | 1 | (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) |
| 95.7% | 1 | (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) |
| 95.7% | 1 | (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) |
| 95.7% | 1 | (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) |
| 95.7% | 1 | x |
| 95.7% | 1 | y |
| 95.7% | 1 | z |
| 95.7% | 1 | t |
Compiled 47 to 63 computations (-34% saved)
| Inputs |
|---|
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp z) 1) t) y) (*.f64 #s(approx (/ (+ (* (* z y) 1/2) y) t) (/.f64 y t)) z)))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp z) 1) t) y) #s(approx (* (/ (+ (* (* z y) 1/2) y) t) z) (*.f64 (/.f64 (*.f64 (*.f64 z z) y) t) #s(literal 1/2 binary64)))))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp z) 1) t) y) (*.f64 (/.f64 #s(approx (+ (* (* z y) 1/2) y) (*.f64 (*.f64 z y) #s(literal 1/2 binary64))) t) z)))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(approx (- (* (exp z) t) (* t 1)) (*.f64 t z)) (*.f64 t t)) y))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp z) 1) t) y) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) z y) t) z)))) |
(-.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))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (* (exp z) t) (* t 1)) (* t t)) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp z) 1) t) y) (*.f64 #s(approx (/ (+ (* (* z y) 1/2) y) t) (*.f64 (neg.f64 y) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) z) #s(literal 1 binary64)) t))) z)))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(approx (- (exp z) 1) (*.f64 #s(approx (+ (* (+ (* 1/6 z) 1/2) z) 1) (*.f64 (*.f64 z z) #s(literal 1/6 binary64))) z)) t) y))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (- (exp z) 1) (*.f64 #s(approx (+ (* (+ (* 1/6 z) 1/2) z) 1) (*.f64 (*.f64 z z) #s(literal 1/6 binary64))) z)) y)) t)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (* t x)) (/.f64 (/.f64 (*.f64 z y) t) x)) x)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) x) (*.f64 y #s(approx (/ (- (exp z) 1) x) (/.f64 z x)))) t) x)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (*.f64 z y)) x) t) x)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) t) y))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) y)) t)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 y y (neg.f64 y)) z) #s(literal -1/2 binary64) y) t) z))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(approx (- (* (exp z) t) (* t 1)) (*.f64 (fma.f64 (*.f64 t z) #s(literal 1/2 binary64) t) z)) (*.f64 t t)) y))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp z) 1) t) y) (*.f64 (fma.f64 z (/.f64 (*.f64 #s(literal 1/2 binary64) y) t) (/.f64 y t)) z)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) x) (*.f64 y #s(approx (/ (- (exp z) 1) x) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) x) z)))) t) x)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) t) z (/.f64 #s(literal 1 binary64) t)) z)) y))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(approx (- (exp z) 1) (*.f64 #s(approx (+ (* (+ (* 1/6 z) 1/2) z) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) z) #s(literal -1/6 binary64)) z) z)) z)) t) y))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (- (exp z) 1) (*.f64 #s(approx (+ (* (+ (* 1/6 z) 1/2) z) 1) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) z) #s(literal -1/6 binary64)) (*.f64 z z))) z)) y)) t)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) x) (*.f64 (/.f64 (fma.f64 (*.f64 (-.f64 y (*.f64 y y)) z) #s(literal 1/2 binary64) y) x) z)) t) x)) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t)) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t)) |
(-.f64 x (/.f64 (log.f64 (+.f64 #s(approx (- 1 y) (neg.f64 y)) #s(approx (* y (exp z)) (fma.f64 z y y)))) t)) |
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) #s(approx (* y (exp z)) (fma.f64 z y y)))) t)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (*.f64 t (expm1.f64 z)) (*.f64 t t)) y))) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* (+ (* 1/6 (* z y)) (* 1/2 y)) z) y) z) 1) (*.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/6 z) 1/2) #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z) y)))) t)) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64)))) t)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) x) (*.f64 y (/.f64 (expm1.f64 z) x))) t) x)) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* (+ (* 1/6 (* z y)) (* 1/2 y)) z) y) z) 1) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z) y)))) t)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (-.f64 (*.f64 (exp.f64 z) t) (*.f64 t #s(literal 1 binary64))) (*.f64 t t)) y))) |
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y #s(approx (exp z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64)))))) t)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) y)) (*.f64 t x)) x)) |
(-.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 (*.f64 (expm1.f64 z) y)) (neg.f64 t))) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))) t)) |
(-.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)) (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) x)) |
| Outputs |
|---|
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) x)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) y)) (*.f64 t x)) x)) |
9 calls:
| 67.0ms | x |
| 19.0ms | z |
| 18.0ms | (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) |
| 12.0ms | t |
| 11.0ms | (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.7% | 1 | (exp.f64 z) |
| 97.0% | 3 | (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) |
| 97.0% | 3 | (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) |
| 96.2% | 3 | (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) |
| 97.2% | 3 | y |
| 93.5% | 3 | z |
| 95.2% | 3 | (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) |
| 94.6% | 3 | x |
| 93.9% | 3 | t |
Compiled 47 to 63 computations (-34% saved)
| Inputs |
|---|
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp z) 1) t) y) (*.f64 #s(approx (/ (+ (* (* z y) 1/2) y) t) (/.f64 y t)) z)))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp z) 1) t) y) #s(approx (* (/ (+ (* (* z y) 1/2) y) t) z) (*.f64 (/.f64 (*.f64 (*.f64 z z) y) t) #s(literal 1/2 binary64)))))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp z) 1) t) y) (*.f64 (/.f64 #s(approx (+ (* (* z y) 1/2) y) (*.f64 (*.f64 z y) #s(literal 1/2 binary64))) t) z)))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(approx (- (* (exp z) t) (* t 1)) (*.f64 t z)) (*.f64 t t)) y))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp z) 1) t) y) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) z y) t) z)))) |
(-.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))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (* (exp z) t) (* t 1)) (* t t)) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp z) 1) t) y) (*.f64 #s(approx (/ (+ (* (* z y) 1/2) y) t) (*.f64 (neg.f64 y) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) z) #s(literal 1 binary64)) t))) z)))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(approx (- (exp z) 1) (*.f64 #s(approx (+ (* (+ (* 1/6 z) 1/2) z) 1) (*.f64 (*.f64 z z) #s(literal 1/6 binary64))) z)) t) y))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (- (exp z) 1) (*.f64 #s(approx (+ (* (+ (* 1/6 z) 1/2) z) 1) (*.f64 (*.f64 z z) #s(literal 1/6 binary64))) z)) y)) t)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (* t x)) (/.f64 (/.f64 (*.f64 z y) t) x)) x)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) x) (*.f64 y #s(approx (/ (- (exp z) 1) x) (/.f64 z x)))) t) x)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (*.f64 z y)) x) t) x)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) t) y))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) y)) t)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 y y (neg.f64 y)) z) #s(literal -1/2 binary64) y) t) z))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(approx (- (* (exp z) t) (* t 1)) (*.f64 (fma.f64 (*.f64 t z) #s(literal 1/2 binary64) t) z)) (*.f64 t t)) y))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp z) 1) t) y) (*.f64 (fma.f64 z (/.f64 (*.f64 #s(literal 1/2 binary64) y) t) (/.f64 y t)) z)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) x) (*.f64 y #s(approx (/ (- (exp z) 1) x) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) x) z)))) t) x)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) t) z (/.f64 #s(literal 1 binary64) t)) z)) y))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(approx (- (exp z) 1) (*.f64 #s(approx (+ (* (+ (* 1/6 z) 1/2) z) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) z) #s(literal -1/6 binary64)) z) z)) z)) t) y))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (- (exp z) 1) (*.f64 #s(approx (+ (* (+ (* 1/6 z) 1/2) z) 1) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) z) #s(literal -1/6 binary64)) (*.f64 z z))) z)) y)) t)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) x) (*.f64 (/.f64 (fma.f64 (*.f64 (-.f64 y (*.f64 y y)) z) #s(literal 1/2 binary64) y) x) z)) t) x)) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t)) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t)) |
(-.f64 x (/.f64 (log.f64 (+.f64 #s(approx (- 1 y) (neg.f64 y)) #s(approx (* y (exp z)) (fma.f64 z y y)))) t)) |
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) #s(approx (* y (exp z)) (fma.f64 z y y)))) t)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (*.f64 t (expm1.f64 z)) (*.f64 t t)) y))) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* (+ (* 1/6 (* z y)) (* 1/2 y)) z) y) z) 1) (*.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/6 z) 1/2) #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z) y)))) t)) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64)))) t)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) x) (*.f64 y (/.f64 (expm1.f64 z) x))) t) x)) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* (+ (* 1/6 (* z y)) (* 1/2 y)) z) y) z) 1) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z) y)))) t)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (-.f64 (*.f64 (exp.f64 z) t) (*.f64 t #s(literal 1 binary64))) (*.f64 t t)) y))) |
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y #s(approx (exp z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64)))))) t)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) y)) (*.f64 t x)) x)) |
(-.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 (*.f64 (expm1.f64 z) y)) (neg.f64 t))) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))) t)) |
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) |
| Outputs |
|---|
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) y)) (*.f64 t x)) x)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))) |
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) |
3 calls:
| 30.0ms | (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) |
| 11.0ms | y |
| 8.0ms | (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.0% | 3 | (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) |
| 97.0% | 3 | (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) |
| 96.8% | 3 | y |
Compiled 18 to 23 computations (-27.8% saved)
| Inputs |
|---|
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp z) 1) t) y) (*.f64 #s(approx (/ (+ (* (* z y) 1/2) y) t) (/.f64 y t)) z)))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp z) 1) t) y) #s(approx (* (/ (+ (* (* z y) 1/2) y) t) z) (*.f64 (/.f64 (*.f64 (*.f64 z z) y) t) #s(literal 1/2 binary64)))))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp z) 1) t) y) (*.f64 (/.f64 #s(approx (+ (* (* z y) 1/2) y) (*.f64 (*.f64 z y) #s(literal 1/2 binary64))) t) z)))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(approx (- (* (exp z) t) (* t 1)) (*.f64 t z)) (*.f64 t t)) y))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp z) 1) t) y) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) z y) t) z)))) |
(-.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))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (* (exp z) t) (* t 1)) (* t t)) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp z) 1) t) y) (*.f64 #s(approx (/ (+ (* (* z y) 1/2) y) t) (*.f64 (neg.f64 y) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) z) #s(literal 1 binary64)) t))) z)))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(approx (- (exp z) 1) (*.f64 #s(approx (+ (* (+ (* 1/6 z) 1/2) z) 1) (*.f64 (*.f64 z z) #s(literal 1/6 binary64))) z)) t) y))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (- (exp z) 1) (*.f64 #s(approx (+ (* (+ (* 1/6 z) 1/2) z) 1) (*.f64 (*.f64 z z) #s(literal 1/6 binary64))) z)) y)) t)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (* t x)) (/.f64 (/.f64 (*.f64 z y) t) x)) x)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) x) (*.f64 y #s(approx (/ (- (exp z) 1) x) (/.f64 z x)))) t) x)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (*.f64 z y)) x) t) x)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) t) y))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) y)) t)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 y y (neg.f64 y)) z) #s(literal -1/2 binary64) y) t) z))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(approx (- (* (exp z) t) (* t 1)) (*.f64 (fma.f64 (*.f64 t z) #s(literal 1/2 binary64) t) z)) (*.f64 t t)) y))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp z) 1) t) y) (*.f64 (fma.f64 z (/.f64 (*.f64 #s(literal 1/2 binary64) y) t) (/.f64 y t)) z)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) x) (*.f64 y #s(approx (/ (- (exp z) 1) x) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) x) z)))) t) x)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) t) z (/.f64 #s(literal 1 binary64) t)) z)) y))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(approx (- (exp z) 1) (*.f64 #s(approx (+ (* (+ (* 1/6 z) 1/2) z) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) z) #s(literal -1/6 binary64)) z) z)) z)) t) y))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (- (exp z) 1) (*.f64 #s(approx (+ (* (+ (* 1/6 z) 1/2) z) 1) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) z) #s(literal -1/6 binary64)) (*.f64 z z))) z)) y)) t)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) x) (*.f64 (/.f64 (fma.f64 (*.f64 (-.f64 y (*.f64 y y)) z) #s(literal 1/2 binary64) y) x) z)) t) x)) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t)) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t)) |
(-.f64 x (/.f64 (log.f64 (+.f64 #s(approx (- 1 y) (neg.f64 y)) #s(approx (* y (exp z)) (fma.f64 z y y)))) t)) |
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) #s(approx (* y (exp z)) (fma.f64 z y y)))) t)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (*.f64 t (expm1.f64 z)) (*.f64 t t)) y))) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* (+ (* 1/6 (* z y)) (* 1/2 y)) z) y) z) 1) (*.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/6 z) 1/2) #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z) y)))) t)) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64)))) t)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) x) (*.f64 y (/.f64 (expm1.f64 z) x))) t) x)) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* (+ (* 1/6 (* z y)) (* 1/2 y)) z) y) z) 1) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z) y)))) t)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (-.f64 (*.f64 (exp.f64 z) t) (*.f64 t #s(literal 1 binary64))) (*.f64 t t)) y))) |
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y #s(approx (exp z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64)))))) t)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) y)) (*.f64 t x)) x)) |
(-.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 (*.f64 (expm1.f64 z) y)) (neg.f64 t))) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))) t)) |
| Outputs |
|---|
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) y)) (*.f64 t x)) x)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))) t)) |
2 calls:
| 8.0ms | (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) |
| 8.0ms | (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.0% | 3 | (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) |
| 97.0% | 3 | (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) |
Compiled 17 to 19 computations (-11.8% saved)
| Inputs |
|---|
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp z) 1) t) y) (*.f64 #s(approx (/ (+ (* (* z y) 1/2) y) t) (/.f64 y t)) z)))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp z) 1) t) y) #s(approx (* (/ (+ (* (* z y) 1/2) y) t) z) (*.f64 (/.f64 (*.f64 (*.f64 z z) y) t) #s(literal 1/2 binary64)))))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp z) 1) t) y) (*.f64 (/.f64 #s(approx (+ (* (* z y) 1/2) y) (*.f64 (*.f64 z y) #s(literal 1/2 binary64))) t) z)))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(approx (- (* (exp z) t) (* t 1)) (*.f64 t z)) (*.f64 t t)) y))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp z) 1) t) y) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) z y) t) z)))) |
(-.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))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (* (exp z) t) (* t 1)) (* t t)) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp z) 1) t) y) (*.f64 #s(approx (/ (+ (* (* z y) 1/2) y) t) (*.f64 (neg.f64 y) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) z) #s(literal 1 binary64)) t))) z)))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(approx (- (exp z) 1) (*.f64 #s(approx (+ (* (+ (* 1/6 z) 1/2) z) 1) (*.f64 (*.f64 z z) #s(literal 1/6 binary64))) z)) t) y))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (- (exp z) 1) (*.f64 #s(approx (+ (* (+ (* 1/6 z) 1/2) z) 1) (*.f64 (*.f64 z z) #s(literal 1/6 binary64))) z)) y)) t)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (* t x)) (/.f64 (/.f64 (*.f64 z y) t) x)) x)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) x) (*.f64 y #s(approx (/ (- (exp z) 1) x) (/.f64 z x)))) t) x)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (*.f64 z y)) x) t) x)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) t) y))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) y)) t)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 y y (neg.f64 y)) z) #s(literal -1/2 binary64) y) t) z))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(approx (- (* (exp z) t) (* t 1)) (*.f64 (fma.f64 (*.f64 t z) #s(literal 1/2 binary64) t) z)) (*.f64 t t)) y))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp z) 1) t) y) (*.f64 (fma.f64 z (/.f64 (*.f64 #s(literal 1/2 binary64) y) t) (/.f64 y t)) z)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) x) (*.f64 y #s(approx (/ (- (exp z) 1) x) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) x) z)))) t) x)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) t) z (/.f64 #s(literal 1 binary64) t)) z)) y))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(approx (- (exp z) 1) (*.f64 #s(approx (+ (* (+ (* 1/6 z) 1/2) z) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) z) #s(literal -1/6 binary64)) z) z)) z)) t) y))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (- (exp z) 1) (*.f64 #s(approx (+ (* (+ (* 1/6 z) 1/2) z) 1) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) z) #s(literal -1/6 binary64)) (*.f64 z z))) z)) y)) t)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) x) (*.f64 (/.f64 (fma.f64 (*.f64 (-.f64 y (*.f64 y y)) z) #s(literal 1/2 binary64) y) x) z)) t) x)) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t)) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t)) |
(-.f64 x (/.f64 (log.f64 (+.f64 #s(approx (- 1 y) (neg.f64 y)) #s(approx (* y (exp z)) (fma.f64 z y y)))) t)) |
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) #s(approx (* y (exp z)) (fma.f64 z y y)))) t)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (*.f64 t (expm1.f64 z)) (*.f64 t t)) y))) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* (+ (* 1/6 (* z y)) (* 1/2 y)) z) y) z) 1) (*.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/6 z) 1/2) #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z) y)))) t)) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64)))) t)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) x) (*.f64 y (/.f64 (expm1.f64 z) x))) t) x)) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* (+ (* 1/6 (* z y)) (* 1/2 y)) z) y) z) 1) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z) y)))) t)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (-.f64 (*.f64 (exp.f64 z) t) (*.f64 t #s(literal 1 binary64))) (*.f64 t t)) y))) |
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y #s(approx (exp z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64)))))) t)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) y)) (*.f64 t x)) x)) |
(-.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 (*.f64 (expm1.f64 z) y)) (neg.f64 t))) |
| Outputs |
|---|
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) y)) (*.f64 t x)) x)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t)) |
6 calls:
| 10.0ms | x |
| 10.0ms | y |
| 10.0ms | (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) |
| 9.0ms | (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) |
| 9.0ms | (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.5% | 1 | x |
| 92.1% | 3 | (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) |
| 93.8% | 4 | (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) |
| 93.6% | 3 | y |
| 94.4% | 3 | (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) |
| 94.4% | 3 | (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) |
Compiled 43 to 50 computations (-16.3% saved)
| Inputs |
|---|
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp z) 1) t) y) (*.f64 #s(approx (/ (+ (* (* z y) 1/2) y) t) (/.f64 y t)) z)))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp z) 1) t) y) #s(approx (* (/ (+ (* (* z y) 1/2) y) t) z) (*.f64 (/.f64 (*.f64 (*.f64 z z) y) t) #s(literal 1/2 binary64)))))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp z) 1) t) y) (*.f64 (/.f64 #s(approx (+ (* (* z y) 1/2) y) (*.f64 (*.f64 z y) #s(literal 1/2 binary64))) t) z)))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(approx (- (* (exp z) t) (* t 1)) (*.f64 t z)) (*.f64 t t)) y))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp z) 1) t) y) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) z y) t) z)))) |
(-.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))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (* (exp z) t) (* t 1)) (* t t)) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp z) 1) t) y) (*.f64 #s(approx (/ (+ (* (* z y) 1/2) y) t) (*.f64 (neg.f64 y) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) z) #s(literal 1 binary64)) t))) z)))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(approx (- (exp z) 1) (*.f64 #s(approx (+ (* (+ (* 1/6 z) 1/2) z) 1) (*.f64 (*.f64 z z) #s(literal 1/6 binary64))) z)) t) y))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (- (exp z) 1) (*.f64 #s(approx (+ (* (+ (* 1/6 z) 1/2) z) 1) (*.f64 (*.f64 z z) #s(literal 1/6 binary64))) z)) y)) t)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (* t x)) (/.f64 (/.f64 (*.f64 z y) t) x)) x)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) x) (*.f64 y #s(approx (/ (- (exp z) 1) x) (/.f64 z x)))) t) x)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (*.f64 z y)) x) t) x)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) t) y))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) y)) t)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 y y (neg.f64 y)) z) #s(literal -1/2 binary64) y) t) z))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(approx (- (* (exp z) t) (* t 1)) (*.f64 (fma.f64 (*.f64 t z) #s(literal 1/2 binary64) t) z)) (*.f64 t t)) y))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp z) 1) t) y) (*.f64 (fma.f64 z (/.f64 (*.f64 #s(literal 1/2 binary64) y) t) (/.f64 y t)) z)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) x) (*.f64 y #s(approx (/ (- (exp z) 1) x) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) x) z)))) t) x)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) t) z (/.f64 #s(literal 1 binary64) t)) z)) y))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(approx (- (exp z) 1) (*.f64 #s(approx (+ (* (+ (* 1/6 z) 1/2) z) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) z) #s(literal -1/6 binary64)) z) z)) z)) t) y))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (- (exp z) 1) (*.f64 #s(approx (+ (* (+ (* 1/6 z) 1/2) z) 1) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) z) #s(literal -1/6 binary64)) (*.f64 z z))) z)) y)) t)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) x) (*.f64 (/.f64 (fma.f64 (*.f64 (-.f64 y (*.f64 y y)) z) #s(literal 1/2 binary64) y) x) z)) t) x)) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t)) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t)) |
(-.f64 x (/.f64 (log.f64 (+.f64 #s(approx (- 1 y) (neg.f64 y)) #s(approx (* y (exp z)) (fma.f64 z y y)))) t)) |
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) #s(approx (* y (exp z)) (fma.f64 z y y)))) t)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (*.f64 t (expm1.f64 z)) (*.f64 t t)) y))) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* (+ (* 1/6 (* z y)) (* 1/2 y)) z) y) z) 1) (*.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/6 z) 1/2) #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z) y)))) t)) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64)))) t)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) x) (*.f64 y (/.f64 (expm1.f64 z) x))) t) x)) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* (+ (* 1/6 (* z y)) (* 1/2 y)) z) y) z) 1) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z) y)))) t)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (-.f64 (*.f64 (exp.f64 z) t) (*.f64 t #s(literal 1 binary64))) (*.f64 t t)) y))) |
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y #s(approx (exp z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) 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)) |
5 calls:
| 12.0ms | z |
| 9.0ms | t |
| 9.0ms | y |
| 8.0ms | (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) |
| 7.0ms | (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.4% | 2 | z |
| 92.9% | 3 | y |
| 85.5% | 1 | t |
| 92.1% | 3 | (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) |
| 92.1% | 3 | (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) |
Compiled 20 to 31 computations (-55% saved)
| Inputs |
|---|
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp z) 1) t) y) (*.f64 #s(approx (/ (+ (* (* z y) 1/2) y) t) (/.f64 y t)) z)))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp z) 1) t) y) #s(approx (* (/ (+ (* (* z y) 1/2) y) t) z) (*.f64 (/.f64 (*.f64 (*.f64 z z) y) t) #s(literal 1/2 binary64)))))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp z) 1) t) y) (*.f64 (/.f64 #s(approx (+ (* (* z y) 1/2) y) (*.f64 (*.f64 z y) #s(literal 1/2 binary64))) t) z)))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(approx (- (* (exp z) t) (* t 1)) (*.f64 t z)) (*.f64 t t)) y))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp z) 1) t) y) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) z y) t) z)))) |
(-.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))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (* (exp z) t) (* t 1)) (* t t)) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp z) 1) t) y) (*.f64 #s(approx (/ (+ (* (* z y) 1/2) y) t) (*.f64 (neg.f64 y) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) z) #s(literal 1 binary64)) t))) z)))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(approx (- (exp z) 1) (*.f64 #s(approx (+ (* (+ (* 1/6 z) 1/2) z) 1) (*.f64 (*.f64 z z) #s(literal 1/6 binary64))) z)) t) y))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (- (exp z) 1) (*.f64 #s(approx (+ (* (+ (* 1/6 z) 1/2) z) 1) (*.f64 (*.f64 z z) #s(literal 1/6 binary64))) z)) y)) t)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (* t x)) (/.f64 (/.f64 (*.f64 z y) t) x)) x)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) x) (*.f64 y #s(approx (/ (- (exp z) 1) x) (/.f64 z x)))) t) x)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (*.f64 z y)) x) t) x)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) t) y))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) y)) t)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 y y (neg.f64 y)) z) #s(literal -1/2 binary64) y) t) z))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(approx (- (* (exp z) t) (* t 1)) (*.f64 (fma.f64 (*.f64 t z) #s(literal 1/2 binary64) t) z)) (*.f64 t t)) y))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp z) 1) t) y) (*.f64 (fma.f64 z (/.f64 (*.f64 #s(literal 1/2 binary64) y) t) (/.f64 y t)) z)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) x) (*.f64 y #s(approx (/ (- (exp z) 1) x) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) x) z)))) t) x)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) t) z (/.f64 #s(literal 1 binary64) t)) z)) y))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(approx (- (exp z) 1) (*.f64 #s(approx (+ (* (+ (* 1/6 z) 1/2) z) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) z) #s(literal -1/6 binary64)) z) z)) z)) t) y))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (- (exp z) 1) (*.f64 #s(approx (+ (* (+ (* 1/6 z) 1/2) z) 1) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) z) #s(literal -1/6 binary64)) (*.f64 z z))) z)) y)) t)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) x) (*.f64 (/.f64 (fma.f64 (*.f64 (-.f64 y (*.f64 y y)) z) #s(literal 1/2 binary64) y) x) z)) t) x)) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t)) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t)) |
(-.f64 x (/.f64 (log.f64 (+.f64 #s(approx (- 1 y) (neg.f64 y)) #s(approx (* y (exp z)) (fma.f64 z y y)))) t)) |
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) #s(approx (* y (exp z)) (fma.f64 z y y)))) t)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (*.f64 t (expm1.f64 z)) (*.f64 t t)) y))) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* (+ (* 1/6 (* z y)) (* 1/2 y)) z) y) z) 1) (*.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/6 z) 1/2) #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z) y)))) 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)) |
2 calls:
| 8.0ms | y |
| 6.0ms | (exp.f64 z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.5% | 1 | (exp.f64 z) |
| 92.8% | 3 | y |
Compiled 3 to 9 computations (-200% saved)
| Inputs |
|---|
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp z) 1) t) y) (*.f64 #s(approx (/ (+ (* (* z y) 1/2) y) t) (/.f64 y t)) z)))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp z) 1) t) y) #s(approx (* (/ (+ (* (* z y) 1/2) y) t) z) (*.f64 (/.f64 (*.f64 (*.f64 z z) y) t) #s(literal 1/2 binary64)))))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp z) 1) t) y) (*.f64 (/.f64 #s(approx (+ (* (* z y) 1/2) y) (*.f64 (*.f64 z y) #s(literal 1/2 binary64))) t) z)))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(approx (- (* (exp z) t) (* t 1)) (*.f64 t z)) (*.f64 t t)) y))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp z) 1) t) y) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) z y) t) z)))) |
(-.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))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (* (exp z) t) (* t 1)) (* t t)) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp z) 1) t) y) (*.f64 #s(approx (/ (+ (* (* z y) 1/2) y) t) (*.f64 (neg.f64 y) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) z) #s(literal 1 binary64)) t))) z)))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(approx (- (exp z) 1) (*.f64 #s(approx (+ (* (+ (* 1/6 z) 1/2) z) 1) (*.f64 (*.f64 z z) #s(literal 1/6 binary64))) z)) t) y))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (- (exp z) 1) (*.f64 #s(approx (+ (* (+ (* 1/6 z) 1/2) z) 1) (*.f64 (*.f64 z z) #s(literal 1/6 binary64))) z)) y)) t)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (* t x)) (/.f64 (/.f64 (*.f64 z y) t) x)) x)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) x) (*.f64 y #s(approx (/ (- (exp z) 1) x) (/.f64 z x)))) t) x)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (*.f64 z y)) x) t) x)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) t) y))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) y)) t)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 y y (neg.f64 y)) z) #s(literal -1/2 binary64) y) t) z))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(approx (- (* (exp z) t) (* t 1)) (*.f64 (fma.f64 (*.f64 t z) #s(literal 1/2 binary64) t) z)) (*.f64 t t)) y))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp z) 1) t) y) (*.f64 (fma.f64 z (/.f64 (*.f64 #s(literal 1/2 binary64) y) t) (/.f64 y t)) z)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) x) (*.f64 y #s(approx (/ (- (exp z) 1) x) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) x) z)))) t) x)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) t) z (/.f64 #s(literal 1 binary64) t)) z)) y))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(approx (- (exp z) 1) (*.f64 #s(approx (+ (* (+ (* 1/6 z) 1/2) z) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) z) #s(literal -1/6 binary64)) z) z)) z)) t) y))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (- (exp z) 1) (*.f64 #s(approx (+ (* (+ (* 1/6 z) 1/2) z) 1) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) z) #s(literal -1/6 binary64)) (*.f64 z z))) z)) y)) t)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) x) (*.f64 (/.f64 (fma.f64 (*.f64 (-.f64 y (*.f64 y y)) z) #s(literal 1/2 binary64) y) x) z)) t) x)) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t)) |
| Outputs |
|---|
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t)) |
6 calls:
| 8.0ms | (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) |
| 7.0ms | y |
| 7.0ms | z |
| 6.0ms | (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) |
| 5.0ms | (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.5% | 1 | z |
| 88.2% | 2 | (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) |
| 88.2% | 2 | (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) |
| 85.5% | 1 | (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) |
| 85.5% | 1 | (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) |
| 88.3% | 2 | y |
Compiled 43 to 50 computations (-16.3% saved)
| Inputs |
|---|
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp z) 1) t) y) (*.f64 #s(approx (/ (+ (* (* z y) 1/2) y) t) (/.f64 y t)) z)))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp z) 1) t) y) #s(approx (* (/ (+ (* (* z y) 1/2) y) t) z) (*.f64 (/.f64 (*.f64 (*.f64 z z) y) t) #s(literal 1/2 binary64)))))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp z) 1) t) y) (*.f64 (/.f64 #s(approx (+ (* (* z y) 1/2) y) (*.f64 (*.f64 z y) #s(literal 1/2 binary64))) t) z)))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(approx (- (* (exp z) t) (* t 1)) (*.f64 t z)) (*.f64 t t)) y))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp z) 1) t) y) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) z y) t) z)))) |
(-.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))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (* (exp z) t) (* t 1)) (* t t)) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp z) 1) t) y) (*.f64 #s(approx (/ (+ (* (* z y) 1/2) y) t) (*.f64 (neg.f64 y) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) z) #s(literal 1 binary64)) t))) z)))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(approx (- (exp z) 1) (*.f64 #s(approx (+ (* (+ (* 1/6 z) 1/2) z) 1) (*.f64 (*.f64 z z) #s(literal 1/6 binary64))) z)) t) y))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (- (exp z) 1) (*.f64 #s(approx (+ (* (+ (* 1/6 z) 1/2) z) 1) (*.f64 (*.f64 z z) #s(literal 1/6 binary64))) z)) y)) t)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (* t x)) (/.f64 (/.f64 (*.f64 z y) t) x)) x)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) x) (*.f64 y #s(approx (/ (- (exp z) 1) x) (/.f64 z x)))) t) x)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (*.f64 z y)) x) t) x)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) t) y))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) y)) t)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 y y (neg.f64 y)) z) #s(literal -1/2 binary64) y) t) z))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(approx (- (* (exp z) t) (* t 1)) (*.f64 (fma.f64 (*.f64 t z) #s(literal 1/2 binary64) t) z)) (*.f64 t t)) y))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp z) 1) t) y) (*.f64 (fma.f64 z (/.f64 (*.f64 #s(literal 1/2 binary64) y) t) (/.f64 y t)) z)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) x) (*.f64 y #s(approx (/ (- (exp z) 1) x) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) x) z)))) t) x)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) t) z (/.f64 #s(literal 1 binary64) t)) z)) y))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(approx (- (exp z) 1) (*.f64 #s(approx (+ (* (+ (* 1/6 z) 1/2) z) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) z) #s(literal -1/6 binary64)) z) z)) z)) t) y))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (- (exp z) 1) (*.f64 #s(approx (+ (* (+ (* 1/6 z) 1/2) z) 1) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) z) #s(literal -1/6 binary64)) (*.f64 z z))) z)) y)) t)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) x) (*.f64 (/.f64 (fma.f64 (*.f64 (-.f64 y (*.f64 y y)) z) #s(literal 1/2 binary64) y) x) z)) t) x)) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))) |
| Outputs |
|---|
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t)) |
3 calls:
| 8.0ms | y |
| 5.0ms | (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) |
| 5.0ms | (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.1% | 2 | (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) |
| 88.1% | 2 | (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) |
| 87.9% | 2 | y |
Compiled 18 to 23 computations (-27.8% saved)
| Inputs |
|---|
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp z) 1) t) y) (*.f64 #s(approx (/ (+ (* (* z y) 1/2) y) t) (/.f64 y t)) z)))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp z) 1) t) y) #s(approx (* (/ (+ (* (* z y) 1/2) y) t) z) (*.f64 (/.f64 (*.f64 (*.f64 z z) y) t) #s(literal 1/2 binary64)))))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp z) 1) t) y) (*.f64 (/.f64 #s(approx (+ (* (* z y) 1/2) y) (*.f64 (*.f64 z y) #s(literal 1/2 binary64))) t) z)))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(approx (- (* (exp z) t) (* t 1)) (*.f64 t z)) (*.f64 t t)) y))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp z) 1) t) y) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) z y) t) z)))) |
(-.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))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (* (exp z) t) (* t 1)) (* t t)) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp z) 1) t) y) (*.f64 #s(approx (/ (+ (* (* z y) 1/2) y) t) (*.f64 (neg.f64 y) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) z) #s(literal 1 binary64)) t))) z)))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(approx (- (exp z) 1) (*.f64 #s(approx (+ (* (+ (* 1/6 z) 1/2) z) 1) (*.f64 (*.f64 z z) #s(literal 1/6 binary64))) z)) t) y))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (- (exp z) 1) (*.f64 #s(approx (+ (* (+ (* 1/6 z) 1/2) z) 1) (*.f64 (*.f64 z z) #s(literal 1/6 binary64))) z)) y)) t)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (* t x)) (/.f64 (/.f64 (*.f64 z y) t) x)) x)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) x) (*.f64 y #s(approx (/ (- (exp z) 1) x) (/.f64 z x)))) t) x)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (*.f64 z y)) x) t) x)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) t) y))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) y)) t)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 y y (neg.f64 y)) z) #s(literal -1/2 binary64) y) t) z))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(approx (- (* (exp z) t) (* t 1)) (*.f64 (fma.f64 (*.f64 t z) #s(literal 1/2 binary64) t) z)) (*.f64 t t)) y))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp z) 1) t) y) (*.f64 (fma.f64 z (/.f64 (*.f64 #s(literal 1/2 binary64) y) t) (/.f64 y t)) z)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) x) (*.f64 y #s(approx (/ (- (exp z) 1) x) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) x) z)))) t) x)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) t) z (/.f64 #s(literal 1 binary64) t)) z)) y))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(approx (- (exp z) 1) (*.f64 #s(approx (+ (* (+ (* 1/6 z) 1/2) z) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) z) #s(literal -1/6 binary64)) z) z)) z)) t) y))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (- (exp z) 1) (*.f64 #s(approx (+ (* (+ (* 1/6 z) 1/2) z) 1) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) z) #s(literal -1/6 binary64)) (*.f64 z z))) z)) y)) t)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) x) (*.f64 (/.f64 (fma.f64 (*.f64 (-.f64 y (*.f64 y y)) z) #s(literal 1/2 binary64) y) x) z)) t) x)) |
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t)) |
| Outputs |
|---|
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t)) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) y)) t)) |
9 calls:
| 9.0ms | t |
| 7.0ms | z |
| 7.0ms | x |
| 7.0ms | y |
| 6.0ms | (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.1% | 3 | t |
| 76.3% | 2 | (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) |
| 82.3% | 2 | (exp.f64 z) |
| 78.4% | 3 | (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) |
| 81.7% | 3 | x |
| 82.3% | 2 | z |
| 77.9% | 2 | y |
| 78.0% | 2 | (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) |
| 78.0% | 2 | (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) |
Compiled 47 to 63 computations (-34% saved)
| Inputs |
|---|
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp z) 1) t) y) (*.f64 #s(approx (/ (+ (* (* z y) 1/2) y) t) (/.f64 y t)) z)))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp z) 1) t) y) #s(approx (* (/ (+ (* (* z y) 1/2) y) t) z) (*.f64 (/.f64 (*.f64 (*.f64 z z) y) t) #s(literal 1/2 binary64)))))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp z) 1) t) y) (*.f64 (/.f64 #s(approx (+ (* (* z y) 1/2) y) (*.f64 (*.f64 z y) #s(literal 1/2 binary64))) t) z)))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(approx (- (* (exp z) t) (* t 1)) (*.f64 t z)) (*.f64 t t)) y))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp z) 1) t) y) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) z y) t) z)))) |
(-.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))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (* (exp z) t) (* t 1)) (* t t)) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp z) 1) t) y) (*.f64 #s(approx (/ (+ (* (* z y) 1/2) y) t) (*.f64 (neg.f64 y) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) z) #s(literal 1 binary64)) t))) z)))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(approx (- (exp z) 1) (*.f64 #s(approx (+ (* (+ (* 1/6 z) 1/2) z) 1) (*.f64 (*.f64 z z) #s(literal 1/6 binary64))) z)) t) y))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (- (exp z) 1) (*.f64 #s(approx (+ (* (+ (* 1/6 z) 1/2) z) 1) (*.f64 (*.f64 z z) #s(literal 1/6 binary64))) z)) y)) t)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (* t x)) (/.f64 (/.f64 (*.f64 z y) t) x)) x)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) x) (*.f64 y #s(approx (/ (- (exp z) 1) x) (/.f64 z x)))) t) x)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (*.f64 z y)) x) t) x)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) t) y))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) y)) t)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 y y (neg.f64 y)) z) #s(literal -1/2 binary64) y) t) z))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(approx (- (* (exp z) t) (* t 1)) (*.f64 (fma.f64 (*.f64 t z) #s(literal 1/2 binary64) t) z)) (*.f64 t t)) y))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp z) 1) t) y) (*.f64 (fma.f64 z (/.f64 (*.f64 #s(literal 1/2 binary64) y) t) (/.f64 y t)) z)))) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) x) (*.f64 y #s(approx (/ (- (exp z) 1) x) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) x) z)))) t) x)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) t) z (/.f64 #s(literal 1 binary64) t)) z)) y))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(approx (- (exp z) 1) (*.f64 #s(approx (+ (* (+ (* 1/6 z) 1/2) z) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) z) #s(literal -1/6 binary64)) z) z)) z)) t) y))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (- (exp z) 1) (*.f64 #s(approx (+ (* (+ (* 1/6 z) 1/2) z) 1) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) z) #s(literal -1/6 binary64)) (*.f64 z z))) z)) y)) t)) |
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) x) (*.f64 (/.f64 (fma.f64 (*.f64 (-.f64 y (*.f64 y y)) z) #s(literal 1/2 binary64) y) x) z)) t) x)) |
| Outputs |
|---|
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) |
9 calls:
| 6.0ms | t |
| 6.0ms | z |
| 6.0ms | x |
| 6.0ms | y |
| 6.0ms | (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 74.4% | 1 | (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) |
| 74.4% | 1 | (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) |
| 74.4% | 1 | y |
| 74.4% | 1 | (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) |
| 74.4% | 1 | (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) |
| 74.4% | 1 | t |
| 74.4% | 1 | x |
| 74.4% | 1 | z |
| 74.4% | 1 | (exp.f64 z) |
Compiled 47 to 63 computations (-34% saved)
| Inputs |
|---|
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp z) 1) t) y) (*.f64 #s(approx (/ (+ (* (* z y) 1/2) y) t) (/.f64 y t)) z)))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y))) |
| Outputs |
|---|
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y))) |
9 calls:
| 1.0ms | x |
| 1.0ms | t |
| 1.0ms | z |
| 1.0ms | y |
| 1.0ms | (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 73.9% | 1 | (exp.f64 z) |
| 73.9% | 1 | z |
| 73.9% | 1 | (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) |
| 73.9% | 1 | (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) |
| 73.9% | 1 | (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) |
| 73.9% | 1 | (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) |
| 73.9% | 1 | x |
| 73.9% | 1 | y |
| 73.9% | 1 | t |
Compiled 47 to 63 computations (-34% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp z) 1) t) y) (*.f64 #s(approx (/ (+ (* (* z y) 1/2) y) t) (/.f64 y t)) z)))) |
| Outputs |
|---|
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp z) 1) t) y) (*.f64 #s(approx (/ (+ (* (* z y) 1/2) y) t) (/.f64 y t)) z)))) |
9 calls:
| 1.0ms | t |
| 1.0ms | y |
| 1.0ms | (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) |
| 1.0ms | x |
| 1.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 72.8% | 1 | z |
| 72.8% | 1 | (exp.f64 z) |
| 72.8% | 1 | (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) |
| 72.8% | 1 | (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) |
| 72.8% | 1 | (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) |
| 72.8% | 1 | (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) |
| 72.8% | 1 | y |
| 72.8% | 1 | t |
| 72.8% | 1 | x |
Compiled 47 to 63 computations (-34% saved)
| 2× | binary-search |
| 1× | predicate-same |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 36.0ms | 2944231096209550.5 | 1.8511206195964221e+22 |
| 16.0ms | -0.0006262094025358771 | -0.0003470179927550057 |
| 29.0ms | 82× | 1 | valid |
| 9.0ms | 110× | 0 | valid |
| 4.0ms | 51× | 0 | invalid |
Compiled 652 to 515 computations (21% saved)
ival-log: 11.0ms (33.8% of total)ival-exp: 9.0ms (27.6% of total)adjust: 3.0ms (9.2% of total)ival-sub: 3.0ms (9.2% of total)ival-div: 2.0ms (6.1% of total)ival-mult: 2.0ms (6.1% of total)ival-add: 1.0ms (3.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 0.0006260134152429812 |
| 0.0ms | -inf | -0.02635871319779853 |
Compiled 16 to 19 computations (-18.8% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0006260134152429812 | 9.583549838684025 |
| 0.0ms | -inf | -0.02635871319779853 |
Compiled 16 to 19 computations (-18.8% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 227.86352525567375 | 229.78588232453188 |
| 0.0ms | -inf | -0.02635871319779853 |
Compiled 16 to 19 computations (-18.8% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 64.0ms | 8.598081000541232e+124 | 3.306559855270809e+126 |
| 23.0ms | -1.0996352006763078e+100 | -7.200840791203819e+99 |
| 61.0ms | 155× | 1 | valid |
| 8.0ms | 66× | 0 | invalid |
| 7.0ms | 27× | 1 | invalid |
| 2.0ms | 21× | 0 | valid |
Compiled 469 to 403 computations (14.1% saved)
ival-exp: 28.0ms (42.3% of total)ival-log: 14.0ms (21.1% of total)adjust: 8.0ms (12.1% of total)ival-sub: 7.0ms (10.6% of total)ival-div: 3.0ms (4.5% of total)ival-mult: 3.0ms (4.5% of total)ival-add: 2.0ms (3% 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 | 8.598081000541232e+124 | 3.306559855270809e+126 |
| 1.0ms | -1.0996352006763078e+100 | -7.200840791203819e+99 |
Compiled 434 to 382 computations (12% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -1.0996352006763078e+100 | -7.200840791203819e+99 |
Compiled 148 to 143 computations (3.4% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 227.86352525567375 | 229.78588232453188 |
Compiled 16 to 19 computations (-18.8% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9999977327402749 | 0.9999988874591679 |
Compiled 16 to 19 computations (-18.8% saved)
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 129 | 735 |
| 1 | 185 | 735 |
| 2 | 315 | 735 |
| 3 | 571 | 735 |
| 4 | 1274 | 735 |
| 5 | 5768 | 735 |
| 1× | node limit |
| Inputs |
|---|
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) x) t) x)) |
(if (<=.f64 y #s(literal -5534023222112865/9223372036854775808 binary64)) #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) x)) (if (<=.f64 y #s(literal 2500000000000000000000 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)) (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) y)) (*.f64 t x)) x)))) |
(if (<=.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) #s(literal -inf.0 binary64)) #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) y)) (*.f64 t x)) x)) (if (<=.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) #s(literal 0 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))) (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)))) |
(if (<=.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) #s(literal -inf.0 binary64)) #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) y)) (*.f64 t x)) x)) (if (<=.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) #s(literal 1152921504606847/1152921504606846976 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))) t)))) |
(if (<=.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) #s(literal -inf.0 binary64)) #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) y)) (*.f64 t x)) x)) (if (<=.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) #s(literal 228 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t)))) |
(if (<=.f64 y #s(literal -10799999999999999550097178473173812211601863065534853775393645265683019073364040429229176319058640896 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 3000000000000000225523460749554625882414287193057224640448727307073297775727245613993623303293274106284797865116557578980032512 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 -10799999999999999550097178473173812211601863065534853775393645265683019073364040429229176319058640896 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 3000000000000000225523460749554625882414287193057224640448727307073297775727245613993623303293274106284797865116557578980032512 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 y #s(literal -10799999999999999550097178473173812211601863065534853775393645265683019073364040429229176319058640896 binary64)) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t)) (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t))) |
(if (<=.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) #s(literal 228 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t))) |
(if (<=.f64 (exp.f64 z) #s(literal 9007181240342483/9007199254740992 binary64)) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t)) (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) y)) t))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp z) 1) t) y) (*.f64 #s(approx (/ (+ (* (* z y) 1/2) y) t) (/.f64 y t)) z)))) |
| Outputs |
|---|
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) x) t) x)) |
(if (<=.f64 y #s(literal -5534023222112865/9223372036854775808 binary64)) #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) x)) (if (<=.f64 y #s(literal 2500000000000000000000 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)) (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) y)) (*.f64 t x)) x)))) |
(if (<=.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) #s(literal -inf.0 binary64)) #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) y)) (*.f64 t x)) x)) (if (<=.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) #s(literal 0 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))) (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)))) |
(if (<=.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) #s(literal -inf.0 binary64)) #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) y)) (*.f64 t x)) x)) (if (<=.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) #s(literal 1152921504606847/1152921504606846976 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))) t)))) |
(if (<=.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) #s(literal -inf.0 binary64)) #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) y)) (*.f64 t x)) x)) (if (<=.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) #s(literal 228 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t)))) |
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(if (<=.f64 y #s(literal -10799999999999999550097178473173812211601863065534853775393645265683019073364040429229176319058640896 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 3000000000000000225523460749554625882414287193057224640448727307073297775727245613993623303293274106284797865116557578980032512 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)))) |
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(if (<=.f64 y #s(literal -10799999999999999550097178473173812211601863065534853775393645265683019073364040429229176319058640896 binary64)) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t)) (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t))) |
(if (<=.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) #s(literal 228 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t))) |
(if (<=.f64 (exp.f64 z) #s(literal 9007181240342483/9007199254740992 binary64)) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t)) (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) y)) t))) |
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y))) |
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp z) 1) t) y) (*.f64 #s(approx (/ (+ (* (* z y) 1/2) y) t) (/.f64 y t)) z)))) |
| 1× | fuel |
Compiled 735 to 132 computations (82% saved)
Compiled 1 578 to 338 computations (78.6% saved)
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